100000
array (0,99999) [(0,4),(1,4),(2,4),(3,4),(4,8),(5,5),(6,4),(7,9),(8,7),(9,7),(10,2),(11,9),(12,6),(13,1),(14,3),(15,5),(16,2),(17,7),(18,4),(19,6),(20,3),(21,6),(22,9),(23,4),(24,9),(25,9),(26,1),(27,8),(28,8),(29,5),(30,1),(31,6),(32,7),(33,8),(34,3),(35,7),(36,7),(37,4),(38,8),(39,8),(40,4),(41,6),(42,5),(43,6),(44,7),(45,6),(46,5),(47,4),(48,7),(49,7),(50,9),(51,4),(52,5),(53,2),(54,9),(55,1),(56,2),(57,7),(58,4),(59,1),(60,1),(61,8),(62,7),(63,7),(64,9),(65,2),(66,3),(67,4),(68,3),(69,7),(70,4),(71,4),(72,6),(73,3),(74,8),(75,1),(76,1),(77,2),(78,4),(79,2),(80,8),(81,1),(82,2),(83,2),(84,5),(85,8),(86,1),(87,3),(88,8),(89,3),(90,7),(91,4),(92,8),(93,2),(94,7),(95,5),(96,3),(97,5),(98,1),(99,4),(100,6),(101,6),(102,8),(103,6),(104,5),(105,2),(106,5),(107,6),(108,3),(109,5),(110,2),(111,2),(112,3),(113,5),(114,4),(115,7),(116,5),(117,5),(118,1),(119,2),(120,7),(121,8),(122,9),(123,8),(124,5),(125,6),(126,6),(127,7),(128,2),(129,9),(130,2),(131,4),(132,5),(133,5),(134,7),(135,4),(136,7),(137,2),(138,3),(139,3),(140,5),(141,7),(142,1),(143,2),(144,7),(145,7),(146,7),(147,7),(148,5),(149,4),(150,1),(151,1),(152,1),(153,5),(154,8),(155,4),(156,5),(157,3),(158,5),(159,4),(160,7),(161,1),(162,5),(163,5),(164,3),(165,6),(166,2),(167,3),(168,4),(169,1),(170,6),(171,2),(172,6),(173,5),(174,3),(175,6),(176,6),(177,1),(178,7),(179,2),(180,7),(181,3),(182,5),(183,4),(184,4),(185,4),(186,8),(187,6),(188,6),(189,8),(190,3),(191,9),(192,4),(193,4),(194,3),(195,1),(196,8),(197,5),(198,7),(199,9),(200,1),(201,3),(202,4),(203,3),(204,2),(205,5),(206,7),(207,9),(208,9),(209,3),(210,4),(211,9),(212,4),(213,1),(214,2),(215,5),(216,8),(217,4),(218,2),(219,9),(220,8),(221,4),(222,9),(223,2),(224,2),(225,7),(226,3),(227,8),(228,9),(229,4),(230,7),(231,2),(232,7),(233,2),(234,7),(235,1),(236,3),(237,4),(238,8),(239,1),(240,4),(241,9),(242,1),(243,4),(244,3),(245,6),(246,4),(247,3),(248,1),(249,9),(250,7),(251,6),(252,9),(253,6),(254,9),(255,5),(256,4),(257,3),(258,5),(259,6),(260,4),(261,8),(262,6),(263,5),(264,8),(265,8),(266,6),(267,5),(268,8),(269,6),(270,4),(271,8),(272,5),(273,2),(274,6),(275,9),(276,6),(277,9),(278,2),(279,9),(280,9),(281,3),(282,6),(283,8),(284,8),(285,1),(286,9),(287,1),(288,4),(289,3),(290,7),(291,5),(292,9),(293,2),(294,2),(295,5),(296,4),(297,3),(298,8),(299,8),(300,4),(301,1),(302,7),(303,3),(304,3),(305,4),(306,1),(307,2),(308,9),(309,5),(310,7),(311,5),(312,8),(313,5),(314,4),(315,8),(316,3),(317,8),(318,8),(319,3),(320,8),(321,2),(322,2),(323,1),(324,6),(325,6),(326,7),(327,2),(328,5),(329,5),(330,9),(331,2),(332,8),(333,7),(334,5),(335,7),(336,9),(337,7),(338,1),(339,8),(340,6),(341,8),(342,8),(343,3),(344,5),(345,6),(346,1),(347,2),(348,3),(349,4),(350,7),(351,5),(352,1),(353,3),(354,7),(355,4),(356,6),(357,9),(358,6),(359,5),(360,8),(361,1),(362,3),(363,1),(364,5),(365,1),(366,1),(367,1),(368,3),(369,7),(370,4),(371,7),(372,1),(373,3),(374,1),(375,8),(376,6),(377,7),(378,4),(379,3),(380,8),(381,8),(382,6),(383,7),(384,8),(385,5),(386,9),(387,5),(388,3),(389,4),(390,2),(391,9),(392,5),(393,8),(394,1),(395,4),(396,2),(397,8),(398,3),(399,1),(400,5),(401,4),(402,4),(403,8),(404,2),(405,2),(406,3),(407,8),(408,6),(409,1),(410,4),(411,7),(412,5),(413,9),(414,1),(415,6),(416,6),(417,2),(418,8),(419,5),(420,1),(421,9),(422,1),(423,6),(424,4),(425,1),(426,1),(427,4),(428,8),(429,2),(430,7),(431,1),(432,3),(433,1),(434,4),(435,6),(436,3),(437,3),(438,3),(439,7),(440,9),(441,1),(442,9),(443,9),(444,3),(445,6),(446,3),(447,7),(448,4),(449,8),(450,1),(451,6),(452,3),(453,6),(454,8),(455,2),(456,2),(457,6),(458,2),(459,2),(460,9),(461,1),(462,4),(463,7),(464,3),(465,9),(466,1),(467,3),(468,7),(469,6),(470,4),(471,6),(472,3),(473,1),(474,4),(475,9),(476,8),(477,7),(478,6),(479,8),(480,3),(481,2),(482,5),(483,9),(484,8),(485,1),(486,8),(487,9),(488,5),(489,9),(490,1),(491,9),(492,6),(493,6),(494,9),(495,7),(496,2),(497,6),(498,4),(499,3),(500,1),(501,7),(502,2),(503,6),(504,7),(505,3),(506,3),(507,5),(508,3),(509,1),(510,8),(511,3),(512,1),(513,7),(514,8),(515,7),(516,7),(517,9),(518,7),(519,9),(520,4),(521,5),(522,3),(523,6),(524,7),(525,4),(526,2),(527,2),(528,9),(529,5),(530,7),(531,9),(532,8),(533,4),(534,3),(535,4),(536,5),(537,9),(538,4),(539,2),(540,2),(541,6),(542,4),(543,3),(544,5),(545,3),(546,6),(547,4),(548,4),(549,3),(550,1),(551,6),(552,9),(553,7),(554,5),(555,2),(556,5),(557,3),(558,9),(559,3),(560,5),(561,2),(562,2),(563,1),(564,5),(565,2),(566,2),(567,3),(568,4),(569,5),(570,9),(571,4),(572,7),(573,5),(574,6),(575,9),(576,4),(577,5),(578,5),(579,8),(580,9),(581,9),(582,4),(583,2),(584,1),(585,3),(586,5),(587,6),(588,9),(589,8),(590,4),(591,4),(592,5),(593,5),(594,1),(595,8),(596,1),(597,6),(598,4),(599,9),(600,8),(601,1),(602,9),(603,6),(604,9),(605,1),(606,7),(607,8),(608,9),(609,5),(610,2),(611,8),(612,7),(613,1),(614,6),(615,1),(616,3),(617,4),(618,7),(619,8),(620,3),(621,7),(622,3),(623,4),(624,8),(625,3),(626,4),(627,1),(628,6),(629,9),(630,1),(631,5),(632,6),(633,8),(634,7),(635,3),(636,3),(637,1),(638,5),(639,7),(640,6),(641,5),(642,1),(643,6),(644,1),(645,1),(646,8),(647,1),(648,5),(649,5),(650,6),(651,3),(652,2),(653,5),(654,3),(655,4),(656,5),(657,8),(658,3),(659,3),(660,4),(661,6),(662,7),(663,2),(664,8),(665,8),(666,5),(667,8),(668,5),(669,1),(670,9),(671,1),(672,8),(673,3),(674,5),(675,8),(676,9),(677,5),(678,2),(679,1),(680,1),(681,6),(682,6),(683,1),(684,6),(685,4),(686,9),(687,3),(688,5),(689,2),(690,1),(691,3),(692,1),(693,9),(694,9),(695,5),(696,6),(697,4),(698,3),(699,2),(700,5),(701,2),(702,2),(703,1),(704,3),(705,9),(706,6),(707,4),(708,1),(709,4),(710,5),(711,6),(712,4),(713,6),(714,1),(715,1),(716,9),(717,9),(718,3),(719,6),(720,3),(721,7),(722,5),(723,1),(724,3),(725,6),(726,4),(727,6),(728,7),(729,1),(730,5),(731,8),(732,3),(733,4),(734,3),(735,1),(736,6),(737,2),(738,3),(739,3),(740,3),(741,3),(742,7),(743,4),(744,1),(745,3),(746,2),(747,3),(748,7),(749,4),(750,9),(751,6),(752,5),(753,8),(754,8),(755,9),(756,4),(757,6),(758,7),(759,6),(760,5),(761,7),(762,4),(763,8),(764,3),(765,4),(766,4),(767,6),(768,9),(769,5),(770,1),(771,9),(772,6),(773,9),(774,4),(775,8),(776,7),(777,9),(778,5),(779,6),(780,6),(781,8),(782,4),(783,3),(784,6),(785,3),(786,4),(787,9),(788,7),(789,8),(790,7),(791,1),(792,7),(793,8),(794,4),(795,8),(796,5),(797,9),(798,8),(799,9),(800,3),(801,8),(802,2),(803,7),(804,8),(805,2),(806,8),(807,5),(808,1),(809,3),(810,7),(811,2),(812,7),(813,4),(814,1),(815,6),(816,5),(817,3),(818,1),(819,1),(820,1),(821,4),(822,9),(823,6),(824,2),(825,4),(826,4),(827,6),(828,8),(829,5),(830,5),(831,3),(832,4),(833,8),(834,7),(835,9),(836,8),(837,4),(838,9),(839,8),(840,8),(841,7),(842,8),(843,4),(844,4),(845,1),(846,6),(847,6),(848,8),(849,6),(850,1),(851,3),(852,4),(853,7),(854,9),(855,3),(856,2),(857,4),(858,5),(859,7),(860,4),(861,7),(862,8),(863,7),(864,8),(865,1),(866,5),(867,4),(868,4),(869,6),(870,4),(871,4),(872,9),(873,8),(874,2),(875,5),(876,7),(877,5),(878,9),(879,5),(880,5),(881,3),(882,5),(883,9),(884,4),(885,3),(886,8),(887,4),(888,8),(889,9),(890,4),(891,8),(892,4),(893,7),(894,2),(895,5),(896,4),(897,6),(898,3),(899,3),(900,6),(901,9),(902,5),(903,2),(904,5),(905,2),(906,3),(907,7),(908,1),(909,4),(910,1),(911,2),(912,2),(913,8),(914,8),(915,7),(916,8),(917,3),(918,3),(919,9),(920,3),(921,5),(922,3),(923,2),(924,5),(925,5),(926,9),(927,5),(928,8),(929,5),(930,9),(931,7),(932,6),(933,2),(934,9),(935,2),(936,9),(937,5),(938,1),(939,3),(940,9),(941,6),(942,2),(943,2),(944,4),(945,4),(946,4),(947,3),(948,2),(949,3),(950,8),(951,4),(952,2),(953,8),(954,1),(955,4),(956,8),(957,4),(958,7),(959,8),(960,5),(961,1),(962,9),(963,8),(964,1),(965,9),(966,7),(967,9),(968,9),(969,9),(970,1),(971,3),(972,8),(973,8),(974,9),(975,7),(976,7),(977,2),(978,3),(979,8),(980,7),(981,4),(982,1),(983,9),(984,2),(985,5),(986,4),(987,8),(988,2),(989,9),(990,9),(991,4),(992,7),(993,5),(994,9),(995,8),(996,8),(997,5),(998,2),(999,5),(1000,6),(1001,3),(1002,4),(1003,4),(1004,2),(1005,9),(1006,6),(1007,9),(1008,9),(1009,5),(1010,9),(1011,3),(1012,6),(1013,7),(1014,9),(1015,1),(1016,9),(1017,6),(1018,9),(1019,3),(1020,3),(1021,9),(1022,4),(1023,6),(1024,2),(1025,5),(1026,6),(1027,1),(1028,8),(1029,4),(1030,8),(1031,5),(1032,3),(1033,3),(1034,3),(1035,2),(1036,8),(1037,1),(1038,2),(1039,2),(1040,4),(1041,8),(1042,6),(1043,2),(1044,7),(1045,8),(1046,3),(1047,2),(1048,3),(1049,4),(1050,1),(1051,4),(1052,9),(1053,2),(1054,2),(1055,3),(1056,9),(1057,5),(1058,5),(1059,9),(1060,7),(1061,7),(1062,9),(1063,1),(1064,2),(1065,1),(1066,4),(1067,3),(1068,9),(1069,1),(1070,7),(1071,8),(1072,8),(1073,4),(1074,1),(1075,7),(1076,1),(1077,2),(1078,4),(1079,3),(1080,6),(1081,5),(1082,4),(1083,6),(1084,8),(1085,8),(1086,6),(1087,3),(1088,1),(1089,9),(1090,1),(1091,6),(1092,5),(1093,6),(1094,9),(1095,3),(1096,9),(1097,5),(1098,9),(1099,2),(1100,9),(1101,6),(1102,2),(1103,6),(1104,6),(1105,3),(1106,3),(1107,9),(1108,1),(1109,6),(1110,6),(1111,9),(1112,1),(1113,6),(1114,7),(1115,2),(1116,6),(1117,4),(1118,7),(1119,7),(1120,9),(1121,9),(1122,1),(1123,8),(1124,5),(1125,4),(1126,3),(1127,3),(1128,9),(1129,2),(1130,6),(1131,1),(1132,5),(1133,6),(1134,5),(1135,1),(1136,3),(1137,2),(1138,2),(1139,9),(1140,1),(1141,5),(1142,3),(1143,3),(1144,8),(1145,5),(1146,3),(1147,5),(1148,3),(1149,3),(1150,5),(1151,8),(1152,9),(1153,9),(1154,2),(1155,7),(1156,8),(1157,3),(1158,9),(1159,4),(1160,2),(1161,5),(1162,2),(1163,5),(1164,7),(1165,7),(1166,6),(1167,7),(1168,1),(1169,2),(1170,4),(1171,9),(1172,5),(1173,7),(1174,4),(1175,3),(1176,5),(1177,1),(1178,9),(1179,2),(1180,6),(1181,3),(1182,8),(1183,9),(1184,3),(1185,6),(1186,8),(1187,4),(1188,7),(1189,3),(1190,9),(1191,1),(1192,3),(1193,5),(1194,5),(1195,5),(1196,6),(1197,8),(1198,4),(1199,3),(1200,6),(1201,2),(1202,4),(1203,2),(1204,9),(1205,7),(1206,3),(1207,5),(1208,7),(1209,9),(1210,9),(1211,5),(1212,2),(1213,8),(1214,1),(1215,9),(1216,7),(1217,4),(1218,6),(1219,3),(1220,1),(1221,1),(1222,7),(1223,1),(1224,7),(1225,6),(1226,3),(1227,3),(1228,1),(1229,2),(1230,7),(1231,9),(1232,8),(1233,9),(1234,1),(1235,3),(1236,7),(1237,8),(1238,6),(1239,6),(1240,1),(1241,7),(1242,6),(1243,3),(1244,6),(1245,8),(1246,2),(1247,2),(1248,3),(1249,9),(1250,9),(1251,6),(1252,7),(1253,9),(1254,9),(1255,6),(1256,2),(1257,9),(1258,7),(1259,3),(1260,9),(1261,9),(1262,5),(1263,1),(1264,3),(1265,7),(1266,9),(1267,7),(1268,3),(1269,4),(1270,9),(1271,3),(1272,7),(1273,5),(1274,7),(1275,4),(1276,2),(1277,3),(1278,1),(1279,6),(1280,8),(1281,4),(1282,6),(1283,1),(1284,6),(1285,2),(1286,6),(1287,9),(1288,5),(1289,4),(1290,7),(1291,5),(1292,7),(1293,8),(1294,6),(1295,9),(1296,5),(1297,8),(1298,8),(1299,9),(1300,7),(1301,2),(1302,7),(1303,5),(1304,9),(1305,2),(1306,3),(1307,2),(1308,1),(1309,2),(1310,1),(1311,7),(1312,1),(1313,7),(1314,8),(1315,9),(1316,1),(1317,3),(1318,4),(1319,8),(1320,2),(1321,4),(1322,5),(1323,1),(1324,5),(1325,1),(1326,9),(1327,7),(1328,4),(1329,1),(1330,6),(1331,8),(1332,3),(1333,1),(1334,8),(1335,4),(1336,1),(1337,1),(1338,7),(1339,3),(1340,2),(1341,3),(1342,5),(1343,6),(1344,8),(1345,3),(1346,8),(1347,3),(1348,4),(1349,3),(1350,2),(1351,6),(1352,3),(1353,2),(1354,7),(1355,7),(1356,6),(1357,6),(1358,2),(1359,3),(1360,1),(1361,5),(1362,7),(1363,3),(1364,7),(1365,9),(1366,6),(1367,9),(1368,7),(1369,5),(1370,3),(1371,8),(1372,6),(1373,2),(1374,6),(1375,3),(1376,3),(1377,4),(1378,6),(1379,2),(1380,2),(1381,6),(1382,6),(1383,1),(1384,5),(1385,7),(1386,3),(1387,9),(1388,3),(1389,8),(1390,5),(1391,6),(1392,2),(1393,4),(1394,3),(1395,9),(1396,3),(1397,5),(1398,6),(1399,5),(1400,6),(1401,4),(1402,9),(1403,5),(1404,8),(1405,3),(1406,6),(1407,6),(1408,2),(1409,4),(1410,2),(1411,5),(1412,5),(1413,9),(1414,7),(1415,2),(1416,2),(1417,7),(1418,1),(1419,7),(1420,8),(1421,2),(1422,1),(1423,1),(1424,6),(1425,8),(1426,6),(1427,1),(1428,9),(1429,4),(1430,9),(1431,4),(1432,2),(1433,1),(1434,5),(1435,5),(1436,5),(1437,7),(1438,8),(1439,1),(1440,6),(1441,7),(1442,7),(1443,6),(1444,2),(1445,2),(1446,3),(1447,3),(1448,8),(1449,9),(1450,2),(1451,1),(1452,2),(1453,8),(1454,8),(1455,1),(1456,7),(1457,4),(1458,7),(1459,2),(1460,4),(1461,3),(1462,1),(1463,6),(1464,4),(1465,9),(1466,2),(1467,8),(1468,5),(1469,2),(1470,3),(1471,5),(1472,1),(1473,8),(1474,2),(1475,3),(1476,4),(1477,7),(1478,5),(1479,5),(1480,2),(1481,4),(1482,9),(1483,6),(1484,5),(1485,6),(1486,8),(1487,9),(1488,2),(1489,9),(1490,7),(1491,4),(1492,1),(1493,4),(1494,2),(1495,6),(1496,3),(1497,9),(1498,3),(1499,7),(1500,4),(1501,4),(1502,7),(1503,8),(1504,4),(1505,8),(1506,8),(1507,6),(1508,8),(1509,1),(1510,8),(1511,3),(1512,7),(1513,4),(1514,1),(1515,3),(1516,1),(1517,2),(1518,6),(1519,2),(1520,6),(1521,5),(1522,3),(1523,9),(1524,2),(1525,8),(1526,2),(1527,5),(1528,7),(1529,5),(1530,2),(1531,3),(1532,2),(1533,1),(1534,8),(1535,6),(1536,4),(1537,3),(1538,2),(1539,9),(1540,2),(1541,9),(1542,8),(1543,9),(1544,1),(1545,3),(1546,3),(1547,1),(1548,4),(1549,7),(1550,5),(1551,1),(1552,5),(1553,3),(1554,2),(1555,5),(1556,1),(1557,1),(1558,6),(1559,8),(1560,3),(1561,9),(1562,7),(1563,3),(1564,6),(1565,9),(1566,3),(1567,1),(1568,5),(1569,2),(1570,7),(1571,9),(1572,5),(1573,1),(1574,6),(1575,5),(1576,6),(1577,1),(1578,6),(1579,2),(1580,4),(1581,8),(1582,4),(1583,7),(1584,4),(1585,2),(1586,4),(1587,8),(1588,3),(1589,3),(1590,5),(1591,9),(1592,6),(1593,9),(1594,6),(1595,7),(1596,3),(1597,6),(1598,5),(1599,7),(1600,6),(1601,3),(1602,1),(1603,6),(1604,8),(1605,1),(1606,7),(1607,8),(1608,3),(1609,3),(1610,8),(1611,6),(1612,5),(1613,9),(1614,9),(1615,2),(1616,1),(1617,5),(1618,3),(1619,1),(1620,5),(1621,2),(1622,9),(1623,8),(1624,1),(1625,4),(1626,7),(1627,4),(1628,3),(1629,1),(1630,5),(1631,3),(1632,5),(1633,8),(1634,3),(1635,6),(1636,7),(1637,6),(1638,5),(1639,9),(1640,5),(1641,9),(1642,1),(1643,3),(1644,6),(1645,5),(1646,3),(1647,8),(1648,9),(1649,4),(1650,8),(1651,5),(1652,5),(1653,4),(1654,6),(1655,3),(1656,5),(1657,1),(1658,1),(1659,7),(1660,1),(1661,9),(1662,1),(1663,3),(1664,8),(1665,3),(1666,1),(1667,3),(1668,5),(1669,4),(1670,5),(1671,2),(1672,8),(1673,5),(1674,9),(1675,7),(1676,6),(1677,4),(1678,7),(1679,5),(1680,5),(1681,4),(1682,9),(1683,7),(1684,4),(1685,8),(1686,8),(1687,7),(1688,9),(1689,8),(1690,2),(1691,2),(1692,7),(1693,1),(1694,2),(1695,7),(1696,5),(1697,8),(1698,3),(1699,7),(1700,6),(1701,6),(1702,7),(1703,9),(1704,8),(1705,6),(1706,6),(1707,9),(1708,8),(1709,1),(1710,3),(1711,4),(1712,2),(1713,4),(1714,4),(1715,3),(1716,6),(1717,4),(1718,9),(1719,6),(1720,1),(1721,9),(1722,1),(1723,4),(1724,2),(1725,1),(1726,6),(1727,6),(1728,3),(1729,7),(1730,6),(1731,4),(1732,6),(1733,8),(1734,1),(1735,7),(1736,1),(1737,5),(1738,1),(1739,3),(1740,7),(1741,4),(1742,9),(1743,5),(1744,8),(1745,6),(1746,3),(1747,4),(1748,7),(1749,6),(1750,3),(1751,5),(1752,1),(1753,6),(1754,6),(1755,1),(1756,4),(1757,7),(1758,7),(1759,1),(1760,8),(1761,5),(1762,5),(1763,8),(1764,2),(1765,6),(1766,3),(1767,8),(1768,4),(1769,2),(1770,2),(1771,9),(1772,9),(1773,2),(1774,6),(1775,3),(1776,1),(1777,1),(1778,7),(1779,7),(1780,1),(1781,9),(1782,6),(1783,2),(1784,8),(1785,4),(1786,9),(1787,2),(1788,9),(1789,2),(1790,7),(1791,1),(1792,9),(1793,8),(1794,8),(1795,7),(1796,2),(1797,3),(1798,8),(1799,1),(1800,8),(1801,2),(1802,1),(1803,4),(1804,6),(1805,7),(1806,6),(1807,9),(1808,5),(1809,9),(1810,4),(1811,4),(1812,7),(1813,1),(1814,6),(1815,1),(1816,5),(1817,2),(1818,7),(1819,1),(1820,5),(1821,3),(1822,3),(1823,5),(1824,2),(1825,7),(1826,2),(1827,6),(1828,8),(1829,9),(1830,7),(1831,5),(1832,2),(1833,7),(1834,1),(1835,5),(1836,9),(1837,9),(1838,8),(1839,7),(1840,5),(1841,9),(1842,3),(1843,5),(1844,5),(1845,4),(1846,6),(1847,4),(1848,5),(1849,2),(1850,3),(1851,5),(1852,6),(1853,8),(1854,7),(1855,2),(1856,2),(1857,8),(1858,6),(1859,9),(1860,9),(1861,2),(1862,6),(1863,1),(1864,8),(1865,9),(1866,6),(1867,3),(1868,1),(1869,2),(1870,9),(1871,9),(1872,2),(1873,1),(1874,2),(1875,9),(1876,4),(1877,4),(1878,3),(1879,1),(1880,8),(1881,2),(1882,5),(1883,6),(1884,2),(1885,2),(1886,3),(1887,8),(1888,3),(1889,6),(1890,4),(1891,2),(1892,8),(1893,3),(1894,1),(1895,8),(1896,9),(1897,3),(1898,9),(1899,8),(1900,4),(1901,4),(1902,4),(1903,4),(1904,5),(1905,4),(1906,4),(1907,6),(1908,8),(1909,4),(1910,1),(1911,9),(1912,4),(1913,6),(1914,6),(1915,6),(1916,6),(1917,7),(1918,7),(1919,8),(1920,6),(1921,4),(1922,2),(1923,2),(1924,8),(1925,2),(1926,1),(1927,9),(1928,9),(1929,8),(1930,3),(1931,4),(1932,8),(1933,4),(1934,8),(1935,8),(1936,5),(1937,5),(1938,3),(1939,9),(1940,5),(1941,7),(1942,6),(1943,8),(1944,2),(1945,3),(1946,4),(1947,5),(1948,7),(1949,6),(1950,9),(1951,9),(1952,1),(1953,6),(1954,1),(1955,7),(1956,4),(1957,8),(1958,8),(1959,1),(1960,7),(1961,6),(1962,7),(1963,2),(1964,3),(1965,1),(1966,8),(1967,9),(1968,2),(1969,3),(1970,8),(1971,2),(1972,7),(1973,4),(1974,5),(1975,3),(1976,8),(1977,6),(1978,2),(1979,4),(1980,8),(1981,1),(1982,9),(1983,4),(1984,8),(1985,6),(1986,4),(1987,7),(1988,9),(1989,2),(1990,4),(1991,2),(1992,1),(1993,7),(1994,7),(1995,5),(1996,7),(1997,2),(1998,7),(1999,7),(2000,8),(2001,8),(2002,3),(2003,6),(2004,2),(2005,2),(2006,2),(2007,3),(2008,2),(2009,6),(2010,9),(2011,7),(2012,9),(2013,3),(2014,7),(2015,9),(2016,3),(2017,7),(2018,7),(2019,5),(2020,6),(2021,2),(2022,3),(2023,5),(2024,5),(2025,6),(2026,8),(2027,5),(2028,8),(2029,9),(2030,4),(2031,2),(2032,7),(2033,2),(2034,5),(2035,7),(2036,6),(2037,5),(2038,9),(2039,9),(2040,6),(2041,2),(2042,3),(2043,8),(2044,6),(2045,3),(2046,6),(2047,6),(2048,1),(2049,1),(2050,3),(2051,1),(2052,9),(2053,9),(2054,3),(2055,9),(2056,7),(2057,4),(2058,7),(2059,2),(2060,6),(2061,4),(2062,1),(2063,9),(2064,6),(2065,7),(2066,9),(2067,2),(2068,8),(2069,9),(2070,5),(2071,7),(2072,6),(2073,8),(2074,2),(2075,4),(2076,7),(2077,4),(2078,3),(2079,3),(2080,5),(2081,1),(2082,8),(2083,7),(2084,4),(2085,5),(2086,2),(2087,5),(2088,5),(2089,3),(2090,1),(2091,3),(2092,8),(2093,9),(2094,8),(2095,7),(2096,3),(2097,5),(2098,8),(2099,4),(2100,8),(2101,6),(2102,3),(2103,9),(2104,8),(2105,7),(2106,4),(2107,7),(2108,4),(2109,1),(2110,2),(2111,1),(2112,7),(2113,5),(2114,5),(2115,1),(2116,7),(2117,5),(2118,8),(2119,9),(2120,4),(2121,5),(2122,3),(2123,1),(2124,3),(2125,6),(2126,7),(2127,2),(2128,4),(2129,4),(2130,8),(2131,8),(2132,4),(2133,2),(2134,2),(2135,8),(2136,3),(2137,8),(2138,7),(2139,4),(2140,6),(2141,1),(2142,8),(2143,9),(2144,7),(2145,7),(2146,8),(2147,6),(2148,5),(2149,7),(2150,2),(2151,1),(2152,2),(2153,7),(2154,5),(2155,5),(2156,6),(2157,3),(2158,4),(2159,8),(2160,2),(2161,8),(2162,7),(2163,5),(2164,3),(2165,1),(2166,1),(2167,3),(2168,8),(2169,1),(2170,1),(2171,4),(2172,3),(2173,5),(2174,3),(2175,6),(2176,1),(2177,1),(2178,7),(2179,1),(2180,5),(2181,2),(2182,8),(2183,7),(2184,8),(2185,6),(2186,6),(2187,6),(2188,5),(2189,6),(2190,1),(2191,7),(2192,4),(2193,6),(2194,2),(2195,5),(2196,5),(2197,3),(2198,1),(2199,6),(2200,1),(2201,6),(2202,9),(2203,1),(2204,2),(2205,2),(2206,6),(2207,9),(2208,9),(2209,9),(2210,2),(2211,7),(2212,7),(2213,3),(2214,1),(2215,9),(2216,3),(2217,3),(2218,5),(2219,5),(2220,5),(2221,9),(2222,4),(2223,7),(2224,1),(2225,7),(2226,2),(2227,6),(2228,3),(2229,9),(2230,4),(2231,4),(2232,7),(2233,5),(2234,2),(2235,7),(2236,3),(2237,9),(2238,4),(2239,6),(2240,9),(2241,1),(2242,4),(2243,4),(2244,8),(2245,4),(2246,3),(2247,1),(2248,2),(2249,1),(2250,6),(2251,9),(2252,7),(2253,2),(2254,9),(2255,1),(2256,9),(2257,5),(2258,1),(2259,5),(2260,3),(2261,7),(2262,1),(2263,6),(2264,2),(2265,3),(2266,5),(2267,1),(2268,6),(2269,6),(2270,4),(2271,4),(2272,2),(2273,6),(2274,1),(2275,5),(2276,4),(2277,3),(2278,9),(2279,6),(2280,3),(2281,1),(2282,7),(2283,7),(2284,8),(2285,5),(2286,4),(2287,9),(2288,4),(2289,7),(2290,1),(2291,6),(2292,9),(2293,6),(2294,8),(2295,1),(2296,6),(2297,2),(2298,4),(2299,7),(2300,3),(2301,9),(2302,8),(2303,7),(2304,3),(2305,9),(2306,6),(2307,8),(2308,3),(2309,5),(2310,8),(2311,9),(2312,1),(2313,6),(2314,2),(2315,3),(2316,3),(2317,9),(2318,9),(2319,4),(2320,9),(2321,5),(2322,1),(2323,3),(2324,9),(2325,1),(2326,7),(2327,3),(2328,2),(2329,9),(2330,5),(2331,5),(2332,8),(2333,6),(2334,9),(2335,7),(2336,9),(2337,5),(2338,4),(2339,3),(2340,2),(2341,6),(2342,9),(2343,2),(2344,1),(2345,8),(2346,4),(2347,8),(2348,9),(2349,4),(2350,1),(2351,8),(2352,9),(2353,6),(2354,1),(2355,4),(2356,3),(2357,5),(2358,2),(2359,2),(2360,2),(2361,6),(2362,4),(2363,9),(2364,6),(2365,1),(2366,2),(2367,3),(2368,3),(2369,7),(2370,9),(2371,6),(2372,9),(2373,7),(2374,7),(2375,4),(2376,4),(2377,7),(2378,5),(2379,8),(2380,8),(2381,9),(2382,1),(2383,5),(2384,8),(2385,3),(2386,2),(2387,7),(2388,8),(2389,6),(2390,3),(2391,5),(2392,8),(2393,2),(2394,5),(2395,8),(2396,9),(2397,1),(2398,8),(2399,7),(2400,9),(2401,5),(2402,9),(2403,3),(2404,3),(2405,7),(2406,1),(2407,2),(2408,3),(2409,5),(2410,3),(2411,4),(2412,7),(2413,7),(2414,3),(2415,9),(2416,4),(2417,8),(2418,5),(2419,2),(2420,5),(2421,2),(2422,2),(2423,2),(2424,7),(2425,6),(2426,4),(2427,8),(2428,4),(2429,2),(2430,9),(2431,2),(2432,7),(2433,5),(2434,7),(2435,7),(2436,3),(2437,7),(2438,3),(2439,7),(2440,5),(2441,9),(2442,5),(2443,8),(2444,7),(2445,1),(2446,8),(2447,9),(2448,8),(2449,5),(2450,1),(2451,4),(2452,5),(2453,4),(2454,2),(2455,9),(2456,2),(2457,5),(2458,9),(2459,5),(2460,8),(2461,5),(2462,1),(2463,8),(2464,6),(2465,5),(2466,3),(2467,2),(2468,1),(2469,2),(2470,4),(2471,4),(2472,7),(2473,2),(2474,5),(2475,6),(2476,3),(2477,5),(2478,5),(2479,6),(2480,8),(2481,9),(2482,9),(2483,1),(2484,4),(2485,2),(2486,4),(2487,8),(2488,9),(2489,9),(2490,3),(2491,9),(2492,7),(2493,2),(2494,7),(2495,4),(2496,2),(2497,5),(2498,3),(2499,5),(2500,6),(2501,5),(2502,3),(2503,4),(2504,4),(2505,5),(2506,8),(2507,5),(2508,9),(2509,1),(2510,7),(2511,9),(2512,5),(2513,4),(2514,1),(2515,8),(2516,1),(2517,2),(2518,8),(2519,6),(2520,7),(2521,6),(2522,3),(2523,5),(2524,6),(2525,7),(2526,5),(2527,6),(2528,6),(2529,9),(2530,2),(2531,6),(2532,9),(2533,1),(2534,8),(2535,8),(2536,5),(2537,4),(2538,7),(2539,9),(2540,7),(2541,5),(2542,9),(2543,6),(2544,5),(2545,9),(2546,7),(2547,5),(2548,7),(2549,8),(2550,7),(2551,4),(2552,4),(2553,8),(2554,2),(2555,7),(2556,4),(2557,2),(2558,3),(2559,1),(2560,9),(2561,1),(2562,6),(2563,2),(2564,3),(2565,7),(2566,2),(2567,7),(2568,2),(2569,8),(2570,2),(2571,3),(2572,1),(2573,8),(2574,5),(2575,6),(2576,3),(2577,4),(2578,1),(2579,7),(2580,7),(2581,9),(2582,6),(2583,1),(2584,1),(2585,7),(2586,7),(2587,2),(2588,2),(2589,2),(2590,1),(2591,2),(2592,9),(2593,8),(2594,8),(2595,3),(2596,6),(2597,7),(2598,6),(2599,3),(2600,6),(2601,1),(2602,3),(2603,9),(2604,4),(2605,1),(2606,4),(2607,7),(2608,5),(2609,8),(2610,7),(2611,3),(2612,1),(2613,5),(2614,8),(2615,1),(2616,2),(2617,2),(2618,3),(2619,7),(2620,9),(2621,9),(2622,3),(2623,6),(2624,9),(2625,1),(2626,2),(2627,8),(2628,8),(2629,9),(2630,7),(2631,4),(2632,1),(2633,5),(2634,5),(2635,7),(2636,2),(2637,9),(2638,5),(2639,6),(2640,9),(2641,2),(2642,6),(2643,7),(2644,7),(2645,1),(2646,1),(2647,7),(2648,4),(2649,2),(2650,9),(2651,7),(2652,7),(2653,9),(2654,8),(2655,7),(2656,6),(2657,1),(2658,3),(2659,7),(2660,4),(2661,9),(2662,8),(2663,8),(2664,7),(2665,3),(2666,3),(2667,3),(2668,6),(2669,3),(2670,4),(2671,4),(2672,9),(2673,1),(2674,2),(2675,7),(2676,9),(2677,2),(2678,2),(2679,7),(2680,1),(2681,7),(2682,6),(2683,2),(2684,6),(2685,3),(2686,2),(2687,6),(2688,4),(2689,3),(2690,4),(2691,1),(2692,4),(2693,5),(2694,9),(2695,2),(2696,8),(2697,4),(2698,7),(2699,6),(2700,3),(2701,2),(2702,2),(2703,4),(2704,5),(2705,7),(2706,6),(2707,8),(2708,7),(2709,9),(2710,8),(2711,3),(2712,4),(2713,1),(2714,1),(2715,5),(2716,7),(2717,8),(2718,9),(2719,5),(2720,4),(2721,9),(2722,1),(2723,1),(2724,3),(2725,8),(2726,9),(2727,4),(2728,5),(2729,1),(2730,5),(2731,8),(2732,2),(2733,3),(2734,1),(2735,6),(2736,3),(2737,2),(2738,1),(2739,4),(2740,9),(2741,4),(2742,4),(2743,9),(2744,1),(2745,7),(2746,8),(2747,4),(2748,4),(2749,4),(2750,1),(2751,1),(2752,7),(2753,3),(2754,8),(2755,4),(2756,3),(2757,9),(2758,3),(2759,9),(2760,9),(2761,7),(2762,3),(2763,7),(2764,2),(2765,5),(2766,7),(2767,2),(2768,8),(2769,2),(2770,4),(2771,5),(2772,2),(2773,9),(2774,3),(2775,8),(2776,1),(2777,4),(2778,7),(2779,8),(2780,1),(2781,9),(2782,6),(2783,4),(2784,9),(2785,9),(2786,3),(2787,3),(2788,6),(2789,6),(2790,1),(2791,3),(2792,3),(2793,4),(2794,5),(2795,1),(2796,6),(2797,2),(2798,3),(2799,5),(2800,6),(2801,7),(2802,8),(2803,8),(2804,9),(2805,8),(2806,6),(2807,1),(2808,5),(2809,4),(2810,7),(2811,6),(2812,4),(2813,3),(2814,9),(2815,4),(2816,1),(2817,8),(2818,3),(2819,6),(2820,7),(2821,9),(2822,4),(2823,7),(2824,6),(2825,8),(2826,7),(2827,4),(2828,6),(2829,8),(2830,8),(2831,4),(2832,2),(2833,1),(2834,4),(2835,9),(2836,1),(2837,4),(2838,4),(2839,9),(2840,4),(2841,5),(2842,4),(2843,4),(2844,7),(2845,5),(2846,3),(2847,9),(2848,6),(2849,5),(2850,3),(2851,3),(2852,2),(2853,6),(2854,7),(2855,6),(2856,3),(2857,4),(2858,6),(2859,8),(2860,8),(2861,1),(2862,5),(2863,4),(2864,6),(2865,5),(2866,1),(2867,3),(2868,3),(2869,4),(2870,3),(2871,7),(2872,9),(2873,4),(2874,6),(2875,3),(2876,6),(2877,9),(2878,7),(2879,7),(2880,2),(2881,8),(2882,5),(2883,1),(2884,1),(2885,5),(2886,5),(2887,6),(2888,1),(2889,5),(2890,1),(2891,4),(2892,6),(2893,3),(2894,2),(2895,7),(2896,8),(2897,3),(2898,7),(2899,8),(2900,1),(2901,4),(2902,3),(2903,7),(2904,6),(2905,7),(2906,2),(2907,8),(2908,9),(2909,7),(2910,9),(2911,4),(2912,2),(2913,8),(2914,6),(2915,1),(2916,2),(2917,5),(2918,2),(2919,1),(2920,9),(2921,3),(2922,7),(2923,2),(2924,7),(2925,4),(2926,7),(2927,5),(2928,4),(2929,7),(2930,1),(2931,5),(2932,9),(2933,2),(2934,6),(2935,7),(2936,2),(2937,4),(2938,2),(2939,7),(2940,5),(2941,1),(2942,4),(2943,3),(2944,9),(2945,2),(2946,6),(2947,7),(2948,9),(2949,6),(2950,5),(2951,4),(2952,3),(2953,5),(2954,3),(2955,4),(2956,8),(2957,8),(2958,4),(2959,8),(2960,3),(2961,3),(2962,5),(2963,6),(2964,9),(2965,4),(2966,2),(2967,4),(2968,3),(2969,8),(2970,8),(2971,6),(2972,6),(2973,9),(2974,8),(2975,2),(2976,1),(2977,8),(2978,3),(2979,2),(2980,4),(2981,4),(2982,8),(2983,8),(2984,9),(2985,5),(2986,8),(2987,7),(2988,4),(2989,2),(2990,6),(2991,2),(2992,8),(2993,3),(2994,6),(2995,1),(2996,5),(2997,7),(2998,5),(2999,1),(3000,4),(3001,5),(3002,9),(3003,7),(3004,1),(3005,2),(3006,4),(3007,1),(3008,4),(3009,7),(3010,2),(3011,1),(3012,7),(3013,5),(3014,8),(3015,4),(3016,7),(3017,9),(3018,2),(3019,9),(3020,7),(3021,5),(3022,7),(3023,9),(3024,7),(3025,6),(3026,2),(3027,5),(3028,1),(3029,2),(3030,9),(3031,6),(3032,5),(3033,4),(3034,1),(3035,8),(3036,6),(3037,4),(3038,4),(3039,7),(3040,2),(3041,3),(3042,2),(3043,2),(3044,1),(3045,8),(3046,3),(3047,7),(3048,2),(3049,7),(3050,9),(3051,9),(3052,4),(3053,7),(3054,6),(3055,5),(3056,6),(3057,1),(3058,3),(3059,8),(3060,2),(3061,3),(3062,9),(3063,3),(3064,3),(3065,3),(3066,1),(3067,2),(3068,9),(3069,3),(3070,5),(3071,9),(3072,1),(3073,3),(3074,2),(3075,3),(3076,2),(3077,2),(3078,3),(3079,1),(3080,6),(3081,7),(3082,5),(3083,2),(3084,5),(3085,2),(3086,2),(3087,6),(3088,9),(3089,6),(3090,5),(3091,3),(3092,9),(3093,8),(3094,8),(3095,7),(3096,1),(3097,8),(3098,8),(3099,8),(3100,5),(3101,4),(3102,6),(3103,5),(3104,8),(3105,7),(3106,8),(3107,3),(3108,5),(3109,6),(3110,3),(3111,8),(3112,4),(3113,3),(3114,9),(3115,8),(3116,1),(3117,5),(3118,9),(3119,8),(3120,6),(3121,7),(3122,3),(3123,7),(3124,2),(3125,1),(3126,9),(3127,9),(3128,3),(3129,8),(3130,6),(3131,6),(3132,9),(3133,7),(3134,7),(3135,6),(3136,8),(3137,6),(3138,9),(3139,4),(3140,6),(3141,7),(3142,6),(3143,5),(3144,5),(3145,2),(3146,3),(3147,3),(3148,2),(3149,6),(3150,9),(3151,4),(3152,5),(3153,6),(3154,9),(3155,2),(3156,7),(3157,5),(3158,8),(3159,7),(3160,9),(3161,6),(3162,9),(3163,2),(3164,1),(3165,1),(3166,6),(3167,4),(3168,1),(3169,1),(3170,4),(3171,7),(3172,8),(3173,8),(3174,5),(3175,4),(3176,4),(3177,3),(3178,3),(3179,8),(3180,8),(3181,4),(3182,3),(3183,4),(3184,9),(3185,4),(3186,1),(3187,7),(3188,5),(3189,5),(3190,1),(3191,2),(3192,8),(3193,7),(3194,5),(3195,2),(3196,2),(3197,8),(3198,2),(3199,3),(3200,6),(3201,3),(3202,5),(3203,6),(3204,6),(3205,7),(3206,3),(3207,2),(3208,3),(3209,1),(3210,5),(3211,4),(3212,6),(3213,6),(3214,3),(3215,2),(3216,3),(3217,5),(3218,3),(3219,1),(3220,1),(3221,5),(3222,8),(3223,1),(3224,2),(3225,5),(3226,7),(3227,1),(3228,4),(3229,7),(3230,7),(3231,4),(3232,6),(3233,8),(3234,5),(3235,9),(3236,6),(3237,5),(3238,4),(3239,6),(3240,5),(3241,7),(3242,8),(3243,8),(3244,1),(3245,4),(3246,9),(3247,5),(3248,9),(3249,6),(3250,9),(3251,3),(3252,8),(3253,5),(3254,4),(3255,7),(3256,1),(3257,2),(3258,4),(3259,8),(3260,6),(3261,9),(3262,4),(3263,2),(3264,1),(3265,7),(3266,2),(3267,3),(3268,5),(3269,9),(3270,3),(3271,6),(3272,9),(3273,2),(3274,9),(3275,3),(3276,2),(3277,8),(3278,4),(3279,4),(3280,8),(3281,7),(3282,1),(3283,5),(3284,5),(3285,7),(3286,6),(3287,5),(3288,3),(3289,4),(3290,1),(3291,2),(3292,6),(3293,3),(3294,3),(3295,6),(3296,2),(3297,1),(3298,5),(3299,4),(3300,5),(3301,3),(3302,5),(3303,2),(3304,4),(3305,7),(3306,4),(3307,9),(3308,4),(3309,9),(3310,7),(3311,4),(3312,8),(3313,1),(3314,2),(3315,1),(3316,6),(3317,3),(3318,7),(3319,2),(3320,4),(3321,1),(3322,7),(3323,4),(3324,9),(3325,5),(3326,4),(3327,3),(3328,9),(3329,3),(3330,1),(3331,6),(3332,7),(3333,6),(3334,3),(3335,4),(3336,7),(3337,6),(3338,7),(3339,7),(3340,4),(3341,9),(3342,6),(3343,7),(3344,4),(3345,8),(3346,8),(3347,4),(3348,3),(3349,6),(3350,6),(3351,3),(3352,3),(3353,6),(3354,4),(3355,6),(3356,8),(3357,3),(3358,5),(3359,5),(3360,3),(3361,5),(3362,4),(3363,6),(3364,3),(3365,2),(3366,9),(3367,3),(3368,8),(3369,2),(3370,2),(3371,1),(3372,5),(3373,9),(3374,2),(3375,2),(3376,7),(3377,8),(3378,3),(3379,9),(3380,4),(3381,9),(3382,8),(3383,2),(3384,8),(3385,1),(3386,8),(3387,2),(3388,2),(3389,6),(3390,8),(3391,9),(3392,5),(3393,7),(3394,6),(3395,7),(3396,7),(3397,5),(3398,8),(3399,8),(3400,8),(3401,8),(3402,8),(3403,8),(3404,2),(3405,5),(3406,7),(3407,6),(3408,4),(3409,3),(3410,5),(3411,3),(3412,4),(3413,2),(3414,3),(3415,4),(3416,9),(3417,5),(3418,6),(3419,2),(3420,7),(3421,9),(3422,9),(3423,7),(3424,5),(3425,4),(3426,7),(3427,2),(3428,2),(3429,2),(3430,3),(3431,4),(3432,9),(3433,2),(3434,3),(3435,4),(3436,3),(3437,8),(3438,8),(3439,2),(3440,5),(3441,1),(3442,3),(3443,5),(3444,1),(3445,2),(3446,2),(3447,3),(3448,3),(3449,4),(3450,1),(3451,8),(3452,9),(3453,4),(3454,8),(3455,1),(3456,1),(3457,3),(3458,4),(3459,1),(3460,7),(3461,7),(3462,5),(3463,3),(3464,9),(3465,9),(3466,7),(3467,8),(3468,9),(3469,4),(3470,7),(3471,1),(3472,3),(3473,2),(3474,7),(3475,6),(3476,1),(3477,3),(3478,5),(3479,7),(3480,4),(3481,8),(3482,5),(3483,1),(3484,6),(3485,9),(3486,2),(3487,5),(3488,8),(3489,6),(3490,6),(3491,8),(3492,2),(3493,7),(3494,2),(3495,2),(3496,1),(3497,4),(3498,5),(3499,4),(3500,5),(3501,1),(3502,4),(3503,3),(3504,9),(3505,5),(3506,6),(3507,9),(3508,3),(3509,1),(3510,9),(3511,9),(3512,8),(3513,2),(3514,2),(3515,4),(3516,5),(3517,7),(3518,9),(3519,9),(3520,7),(3521,5),(3522,2),(3523,3),(3524,2),(3525,7),(3526,5),(3527,5),(3528,7),(3529,1),(3530,9),(3531,3),(3532,2),(3533,5),(3534,5),(3535,3),(3536,8),(3537,6),(3538,8),(3539,5),(3540,4),(3541,6),(3542,9),(3543,6),(3544,1),(3545,3),(3546,8),(3547,7),(3548,4),(3549,3),(3550,5),(3551,3),(3552,4),(3553,8),(3554,2),(3555,7),(3556,2),(3557,5),(3558,3),(3559,7),(3560,3),(3561,9),(3562,3),(3563,5),(3564,5),(3565,4),(3566,9),(3567,6),(3568,3),(3569,7),(3570,2),(3571,4),(3572,9),(3573,8),(3574,9),(3575,3),(3576,5),(3577,7),(3578,1),(3579,7),(3580,7),(3581,7),(3582,3),(3583,6),(3584,8),(3585,2),(3586,6),(3587,8),(3588,7),(3589,1),(3590,7),(3591,9),(3592,8),(3593,2),(3594,8),(3595,3),(3596,9),(3597,2),(3598,8),(3599,3),(3600,5),(3601,1),(3602,3),(3603,2),(3604,4),(3605,9),(3606,9),(3607,3),(3608,6),(3609,3),(3610,7),(3611,5),(3612,4),(3613,3),(3614,7),(3615,3),(3616,7),(3617,6),(3618,2),(3619,9),(3620,9),(3621,2),(3622,8),(3623,6),(3624,7),(3625,3),(3626,6),(3627,8),(3628,9),(3629,5),(3630,5),(3631,2),(3632,5),(3633,3),(3634,6),(3635,6),(3636,5),(3637,2),(3638,5),(3639,4),(3640,7),(3641,8),(3642,9),(3643,8),(3644,8),(3645,1),(3646,5),(3647,8),(3648,1),(3649,8),(3650,8),(3651,7),(3652,1),(3653,8),(3654,9),(3655,9),(3656,2),(3657,7),(3658,4),(3659,2),(3660,1),(3661,7),(3662,6),(3663,1),(3664,8),(3665,1),(3666,6),(3667,8),(3668,1),(3669,6),(3670,5),(3671,9),(3672,3),(3673,6),(3674,7),(3675,1),(3676,2),(3677,6),(3678,7),(3679,8),(3680,5),(3681,6),(3682,9),(3683,5),(3684,9),(3685,9),(3686,8),(3687,1),(3688,3),(3689,8),(3690,2),(3691,3),(3692,5),(3693,1),(3694,3),(3695,4),(3696,7),(3697,6),(3698,6),(3699,3),(3700,6),(3701,6),(3702,9),(3703,1),(3704,6),(3705,3),(3706,9),(3707,8),(3708,6),(3709,9),(3710,1),(3711,4),(3712,6),(3713,6),(3714,7),(3715,6),(3716,8),(3717,1),(3718,2),(3719,6),(3720,9),(3721,7),(3722,7),(3723,7),(3724,3),(3725,7),(3726,4),(3727,6),(3728,8),(3729,6),(3730,5),(3731,2),(3732,3),(3733,4),(3734,5),(3735,4),(3736,1),(3737,6),(3738,4),(3739,9),(3740,9),(3741,7),(3742,8),(3743,2),(3744,7),(3745,5),(3746,5),(3747,4),(3748,2),(3749,1),(3750,5),(3751,8),(3752,6),(3753,6),(3754,4),(3755,2),(3756,9),(3757,9),(3758,4),(3759,4),(3760,6),(3761,8),(3762,2),(3763,2),(3764,2),(3765,6),(3766,8),(3767,5),(3768,3),(3769,3),(3770,6),(3771,8),(3772,5),(3773,9),(3774,5),(3775,3),(3776,1),(3777,1),(3778,4),(3779,7),(3780,3),(3781,4),(3782,8),(3783,5),(3784,7),(3785,6),(3786,5),(3787,2),(3788,4),(3789,7),(3790,1),(3791,5),(3792,4),(3793,8),(3794,1),(3795,6),(3796,7),(3797,8),(3798,1),(3799,2),(3800,7),(3801,9),(3802,4),(3803,4),(3804,4),(3805,9),(3806,4),(3807,3),(3808,9),(3809,5),(3810,8),(3811,7),(3812,4),(3813,9),(3814,9),(3815,7),(3816,2),(3817,3),(3818,2),(3819,3),(3820,2),(3821,2),(3822,4),(3823,7),(3824,8),(3825,4),(3826,2),(3827,5),(3828,7),(3829,6),(3830,6),(3831,1),(3832,1),(3833,2),(3834,3),(3835,8),(3836,2),(3837,7),(3838,9),(3839,1),(3840,3),(3841,5),(3842,9),(3843,9),(3844,8),(3845,4),(3846,2),(3847,1),(3848,5),(3849,5),(3850,2),(3851,8),(3852,2),(3853,4),(3854,1),(3855,1),(3856,3),(3857,7),(3858,9),(3859,2),(3860,1),(3861,3),(3862,5),(3863,2),(3864,7),(3865,7),(3866,2),(3867,5),(3868,3),(3869,8),(3870,9),(3871,8),(3872,7),(3873,5),(3874,6),(3875,6),(3876,7),(3877,6),(3878,6),(3879,6),(3880,9),(3881,3),(3882,4),(3883,1),(3884,8),(3885,2),(3886,7),(3887,6),(3888,1),(3889,6),(3890,2),(3891,7),(3892,1),(3893,8),(3894,3),(3895,9),(3896,2),(3897,4),(3898,4),(3899,6),(3900,6),(3901,2),(3902,5),(3903,6),(3904,1),(3905,4),(3906,8),(3907,2),(3908,5),(3909,1),(3910,5),(3911,5),(3912,3),(3913,8),(3914,8),(3915,4),(3916,1),(3917,5),(3918,8),(3919,4),(3920,5),(3921,1),(3922,7),(3923,8),(3924,3),(3925,8),(3926,3),(3927,7),(3928,6),(3929,7),(3930,2),(3931,2),(3932,7),(3933,2),(3934,7),(3935,4),(3936,3),(3937,5),(3938,9),(3939,1),(3940,7),(3941,3),(3942,3),(3943,4),(3944,4),(3945,9),(3946,6),(3947,2),(3948,5),(3949,9),(3950,8),(3951,1),(3952,9),(3953,8),(3954,8),(3955,3),(3956,6),(3957,6),(3958,9),(3959,8),(3960,3),(3961,9),(3962,5),(3963,6),(3964,8),(3965,4),(3966,9),(3967,8),(3968,4),(3969,8),(3970,4),(3971,3),(3972,7),(3973,2),(3974,1),(3975,5),(3976,3),(3977,2),(3978,3),(3979,1),(3980,2),(3981,4),(3982,5),(3983,2),(3984,2),(3985,4),(3986,9),(3987,2),(3988,8),(3989,9),(3990,9),(3991,5),(3992,8),(3993,5),(3994,9),(3995,8),(3996,7),(3997,5),(3998,4),(3999,2),(4000,4),(4001,3),(4002,2),(4003,6),(4004,7),(4005,7),(4006,3),(4007,3),(4008,9),(4009,8),(4010,5),(4011,1),(4012,6),(4013,1),(4014,5),(4015,4),(4016,3),(4017,7),(4018,7),(4019,6),(4020,4),(4021,1),(4022,5),(4023,1),(4024,1),(4025,4),(4026,3),(4027,4),(4028,6),(4029,6),(4030,5),(4031,1),(4032,6),(4033,2),(4034,2),(4035,4),(4036,8),(4037,6),(4038,3),(4039,1),(4040,9),(4041,1),(4042,2),(4043,4),(4044,8),(4045,1),(4046,9),(4047,6),(4048,7),(4049,3),(4050,9),(4051,7),(4052,8),(4053,5),(4054,8),(4055,5),(4056,6),(4057,5),(4058,7),(4059,4),(4060,8),(4061,7),(4062,4),(4063,7),(4064,2),(4065,5),(4066,2),(4067,8),(4068,3),(4069,1),(4070,4),(4071,3),(4072,1),(4073,2),(4074,1),(4075,8),(4076,5),(4077,3),(4078,4),(4079,3),(4080,3),(4081,7),(4082,2),(4083,3),(4084,2),(4085,9),(4086,1),(4087,7),(4088,8),(4089,4),(4090,2),(4091,9),(4092,5),(4093,6),(4094,3),(4095,2),(4096,8),(4097,5),(4098,1),(4099,8),(4100,6),(4101,6),(4102,7),(4103,8),(4104,5),(4105,3),(4106,9),(4107,2),(4108,8),(4109,6),(4110,8),(4111,9),(4112,2),(4113,8),(4114,7),(4115,8),(4116,4),(4117,7),(4118,4),(4119,6),(4120,5),(4121,8),(4122,8),(4123,7),(4124,8),(4125,2),(4126,4),(4127,2),(4128,4),(4129,2),(4130,4),(4131,8),(4132,8),(4133,3),(4134,1),(4135,1),(4136,5),(4137,6),(4138,9),(4139,6),(4140,8),(4141,9),(4142,7),(4143,7),(4144,3),(4145,4),(4146,9),(4147,1),(4148,3),(4149,8),(4150,6),(4151,8),(4152,2),(4153,7),(4154,1),(4155,9),(4156,8),(4157,7),(4158,7),(4159,2),(4160,6),(4161,6),(4162,3),(4163,9),(4164,8),(4165,6),(4166,4),(4167,6),(4168,9),(4169,2),(4170,5),(4171,7),(4172,9),(4173,7),(4174,2),(4175,4),(4176,3),(4177,6),(4178,1),(4179,8),(4180,5),(4181,1),(4182,6),(4183,7),(4184,4),(4185,4),(4186,3),(4187,9),(4188,7),(4189,5),(4190,5),(4191,6),(4192,2),(4193,5),(4194,4),(4195,5),(4196,8),(4197,5),(4198,7),(4199,2),(4200,4),(4201,4),(4202,4),(4203,7),(4204,7),(4205,2),(4206,2),(4207,1),(4208,6),(4209,3),(4210,3),(4211,1),(4212,1),(4213,4),(4214,4),(4215,7),(4216,3),(4217,8),(4218,1),(4219,8),(4220,5),(4221,9),(4222,4),(4223,6),(4224,8),(4225,9),(4226,6),(4227,1),(4228,8),(4229,3),(4230,2),(4231,7),(4232,3),(4233,1),(4234,4),(4235,4),(4236,7),(4237,6),(4238,6),(4239,4),(4240,2),(4241,4),(4242,7),(4243,4),(4244,3),(4245,1),(4246,4),(4247,1),(4248,2),(4249,8),(4250,1),(4251,8),(4252,2),(4253,9),(4254,3),(4255,1),(4256,6),(4257,3),(4258,4),(4259,3),(4260,5),(4261,2),(4262,2),(4263,8),(4264,7),(4265,6),(4266,6),(4267,6),(4268,2),(4269,6),(4270,2),(4271,1),(4272,7),(4273,2),(4274,1),(4275,4),(4276,5),(4277,8),(4278,3),(4279,1),(4280,4),(4281,7),(4282,8),(4283,3),(4284,2),(4285,2),(4286,8),(4287,5),(4288,2),(4289,6),(4290,2),(4291,6),(4292,9),(4293,8),(4294,5),(4295,3),(4296,5),(4297,9),(4298,7),(4299,6),(4300,4),(4301,5),(4302,1),(4303,6),(4304,3),(4305,4),(4306,3),(4307,5),(4308,5),(4309,8),(4310,6),(4311,6),(4312,5),(4313,8),(4314,7),(4315,9),(4316,1),(4317,6),(4318,2),(4319,6),(4320,4),(4321,2),(4322,4),(4323,9),(4324,1),(4325,8),(4326,5),(4327,5),(4328,9),(4329,2),(4330,8),(4331,9),(4332,9),(4333,8),(4334,9),(4335,7),(4336,9),(4337,7),(4338,7),(4339,5),(4340,9),(4341,4),(4342,9),(4343,1),(4344,3),(4345,6),(4346,4),(4347,5),(4348,6),(4349,2),(4350,4),(4351,6),(4352,7),(4353,1),(4354,5),(4355,9),(4356,7),(4357,9),(4358,6),(4359,1),(4360,6),(4361,7),(4362,5),(4363,2),(4364,7),(4365,9),(4366,2),(4367,3),(4368,5),(4369,9),(4370,9),(4371,1),(4372,7),(4373,3),(4374,2),(4375,1),(4376,2),(4377,6),(4378,2),(4379,8),(4380,5),(4381,2),(4382,5),(4383,5),(4384,8),(4385,6),(4386,9),(4387,7),(4388,1),(4389,7),(4390,6),(4391,5),(4392,6),(4393,7),(4394,4),(4395,4),(4396,6),(4397,6),(4398,5),(4399,1),(4400,9),(4401,2),(4402,2),(4403,2),(4404,6),(4405,6),(4406,8),(4407,3),(4408,3),(4409,4),(4410,7),(4411,5),(4412,8),(4413,2),(4414,3),(4415,8),(4416,5),(4417,9),(4418,9),(4419,6),(4420,5),(4421,4),(4422,8),(4423,6),(4424,2),(4425,3),(4426,7),(4427,8),(4428,8),(4429,8),(4430,2),(4431,9),(4432,4),(4433,5),(4434,3),(4435,7),(4436,8),(4437,7),(4438,2),(4439,9),(4440,6),(4441,9),(4442,4),(4443,7),(4444,4),(4445,1),(4446,4),(4447,9),(4448,8),(4449,5),(4450,4),(4451,6),(4452,3),(4453,8),(4454,3),(4455,9),(4456,4),(4457,3),(4458,3),(4459,8),(4460,6),(4461,7),(4462,6),(4463,7),(4464,9),(4465,8),(4466,9),(4467,6),(4468,3),(4469,7),(4470,5),(4471,4),(4472,3),(4473,4),(4474,2),(4475,1),(4476,9),(4477,2),(4478,7),(4479,2),(4480,2),(4481,9),(4482,1),(4483,7),(4484,9),(4485,2),(4486,5),(4487,4),(4488,5),(4489,3),(4490,6),(4491,1),(4492,4),(4493,3),(4494,6),(4495,7),(4496,5),(4497,1),(4498,2),(4499,6),(4500,6),(4501,3),(4502,6),(4503,2),(4504,4),(4505,7),(4506,6),(4507,8),(4508,7),(4509,9),(4510,5),(4511,5),(4512,4),(4513,6),(4514,9),(4515,1),(4516,6),(4517,6),(4518,9),(4519,3),(4520,4),(4521,6),(4522,5),(4523,9),(4524,3),(4525,7),(4526,3),(4527,8),(4528,8),(4529,3),(4530,9),(4531,9),(4532,1),(4533,4),(4534,9),(4535,1),(4536,4),(4537,7),(4538,7),(4539,4),(4540,9),(4541,5),(4542,1),(4543,6),(4544,8),(4545,7),(4546,2),(4547,2),(4548,8),(4549,2),(4550,8),(4551,7),(4552,3),(4553,5),(4554,5),(4555,4),(4556,8),(4557,9),(4558,8),(4559,8),(4560,2),(4561,5),(4562,3),(4563,4),(4564,9),(4565,8),(4566,7),(4567,7),(4568,7),(4569,7),(4570,1),(4571,2),(4572,8),(4573,7),(4574,5),(4575,2),(4576,1),(4577,3),(4578,2),(4579,6),(4580,4),(4581,9),(4582,7),(4583,4),(4584,8),(4585,4),(4586,2),(4587,5),(4588,3),(4589,2),(4590,7),(4591,7),(4592,9),(4593,1),(4594,5),(4595,9),(4596,6),(4597,6),(4598,3),(4599,5),(4600,7),(4601,2),(4602,2),(4603,4),(4604,7),(4605,7),(4606,6),(4607,1),(4608,6),(4609,7),(4610,3),(4611,1),(4612,2),(4613,1),(4614,5),(4615,2),(4616,1),(4617,8),(4618,2),(4619,3),(4620,4),(4621,7),(4622,6),(4623,1),(4624,8),(4625,9),(4626,5),(4627,7),(4628,8),(4629,9),(4630,7),(4631,4),(4632,2),(4633,9),(4634,1),(4635,2),(4636,1),(4637,4),(4638,8),(4639,9),(4640,4),(4641,9),(4642,7),(4643,9),(4644,9),(4645,7),(4646,5),(4647,5),(4648,3),(4649,9),(4650,1),(4651,3),(4652,4),(4653,9),(4654,2),(4655,7),(4656,1),(4657,5),(4658,6),(4659,5),(4660,4),(4661,6),(4662,4),(4663,8),(4664,5),(4665,9),(4666,8),(4667,7),(4668,5),(4669,1),(4670,5),(4671,2),(4672,5),(4673,8),(4674,6),(4675,6),(4676,1),(4677,1),(4678,3),(4679,3),(4680,6),(4681,4),(4682,9),(4683,4),(4684,6),(4685,9),(4686,1),(4687,6),(4688,7),(4689,4),(4690,8),(4691,5),(4692,9),(4693,5),(4694,4),(4695,7),(4696,6),(4697,2),(4698,4),(4699,9),(4700,3),(4701,4),(4702,4),(4703,8),(4704,4),(4705,2),(4706,7),(4707,1),(4708,9),(4709,2),(4710,4),(4711,7),(4712,4),(4713,6),(4714,9),(4715,7),(4716,9),(4717,7),(4718,3),(4719,6),(4720,1),(4721,7),(4722,3),(4723,9),(4724,2),(4725,3),(4726,2),(4727,4),(4728,4),(4729,1),(4730,8),(4731,5),(4732,2),(4733,1),(4734,2),(4735,7),(4736,6),(4737,2),(4738,1),(4739,9),(4740,6),(4741,8),(4742,5),(4743,2),(4744,6),(4745,4),(4746,7),(4747,3),(4748,4),(4749,1),(4750,9),(4751,3),(4752,8),(4753,1),(4754,9),(4755,8),(4756,2),(4757,2),(4758,7),(4759,2),(4760,3),(4761,7),(4762,7),(4763,9),(4764,2),(4765,1),(4766,2),(4767,2),(4768,5),(4769,2),(4770,1),(4771,2),(4772,5),(4773,7),(4774,1),(4775,2),(4776,6),(4777,6),(4778,7),(4779,5),(4780,6),(4781,6),(4782,5),(4783,5),(4784,8),(4785,4),(4786,6),(4787,7),(4788,3),(4789,9),(4790,6),(4791,5),(4792,6),(4793,4),(4794,4),(4795,1),(4796,6),(4797,7),(4798,6),(4799,2),(4800,5),(4801,5),(4802,3),(4803,8),(4804,6),(4805,2),(4806,8),(4807,6),(4808,2),(4809,3),(4810,5),(4811,3),(4812,3),(4813,2),(4814,4),(4815,3),(4816,4),(4817,2),(4818,3),(4819,9),(4820,3),(4821,4),(4822,3),(4823,3),(4824,4),(4825,8),(4826,5),(4827,5),(4828,6),(4829,5),(4830,6),(4831,2),(4832,4),(4833,6),(4834,3),(4835,6),(4836,5),(4837,3),(4838,1),(4839,1),(4840,6),(4841,9),(4842,9),(4843,1),(4844,9),(4845,2),(4846,3),(4847,9),(4848,3),(4849,9),(4850,6),(4851,7),(4852,3),(4853,4),(4854,1),(4855,8),(4856,9),(4857,6),(4858,5),(4859,3),(4860,6),(4861,4),(4862,2),(4863,7),(4864,7),(4865,1),(4866,8),(4867,4),(4868,5),(4869,1),(4870,2),(4871,7),(4872,3),(4873,8),(4874,8),(4875,1),(4876,9),(4877,6),(4878,9),(4879,9),(4880,4),(4881,1),(4882,9),(4883,2),(4884,5),(4885,1),(4886,4),(4887,1),(4888,6),(4889,2),(4890,3),(4891,9),(4892,1),(4893,7),(4894,4),(4895,5),(4896,5),(4897,3),(4898,2),(4899,9),(4900,9),(4901,5),(4902,3),(4903,7),(4904,9),(4905,4),(4906,8),(4907,1),(4908,1),(4909,6),(4910,1),(4911,6),(4912,9),(4913,2),(4914,7),(4915,7),(4916,2),(4917,5),(4918,8),(4919,2),(4920,7),(4921,6),(4922,7),(4923,5),(4924,1),(4925,1),(4926,5),(4927,2),(4928,4),(4929,7),(4930,9),(4931,8),(4932,3),(4933,2),(4934,6),(4935,3),(4936,3),(4937,8),(4938,3),(4939,3),(4940,6),(4941,2),(4942,2),(4943,9),(4944,9),(4945,2),(4946,5),(4947,5),(4948,2),(4949,4),(4950,4),(4951,2),(4952,4),(4953,3),(4954,3),(4955,1),(4956,4),(4957,4),(4958,5),(4959,2),(4960,1),(4961,8),(4962,5),(4963,9),(4964,8),(4965,1),(4966,7),(4967,3),(4968,5),(4969,1),(4970,5),(4971,3),(4972,2),(4973,9),(4974,5),(4975,3),(4976,4),(4977,4),(4978,9),(4979,1),(4980,4),(4981,6),(4982,2),(4983,6),(4984,2),(4985,5),(4986,4),(4987,4),(4988,5),(4989,8),(4990,1),(4991,6),(4992,9),(4993,1),(4994,4),(4995,9),(4996,2),(4997,5),(4998,6),(4999,2),(5000,3),(5001,9),(5002,2),(5003,9),(5004,9),(5005,8),(5006,9),(5007,7),(5008,2),(5009,4),(5010,1),(5011,2),(5012,8),(5013,2),(5014,8),(5015,2),(5016,4),(5017,5),(5018,9),(5019,1),(5020,6),(5021,4),(5022,6),(5023,9),(5024,3),(5025,3),(5026,1),(5027,1),(5028,4),(5029,8),(5030,5),(5031,4),(5032,6),(5033,1),(5034,1),(5035,6),(5036,6),(5037,2),(5038,7),(5039,5),(5040,9),(5041,5),(5042,5),(5043,1),(5044,4),(5045,3),(5046,6),(5047,9),(5048,7),(5049,7),(5050,7),(5051,4),(5052,2),(5053,6),(5054,9),(5055,8),(5056,6),(5057,9),(5058,6),(5059,7),(5060,8),(5061,6),(5062,2),(5063,7),(5064,2),(5065,9),(5066,8),(5067,8),(5068,9),(5069,9),(5070,6),(5071,9),(5072,4),(5073,4),(5074,3),(5075,2),(5076,3),(5077,9),(5078,4),(5079,1),(5080,9),(5081,6),(5082,8),(5083,1),(5084,3),(5085,7),(5086,9),(5087,9),(5088,5),(5089,8),(5090,8),(5091,1),(5092,1),(5093,2),(5094,1),(5095,1),(5096,9),(5097,8),(5098,9),(5099,1),(5100,8),(5101,1),(5102,4),(5103,7),(5104,2),(5105,5),(5106,7),(5107,6),(5108,6),(5109,6),(5110,9),(5111,1),(5112,2),(5113,6),(5114,7),(5115,4),(5116,6),(5117,9),(5118,8),(5119,6),(5120,7),(5121,7),(5122,9),(5123,1),(5124,6),(5125,2),(5126,9),(5127,8),(5128,6),(5129,9),(5130,5),(5131,7),(5132,6),(5133,8),(5134,5),(5135,7),(5136,2),(5137,3),(5138,5),(5139,8),(5140,6),(5141,6),(5142,2),(5143,2),(5144,4),(5145,8),(5146,7),(5147,5),(5148,6),(5149,2),(5150,1),(5151,9),(5152,4),(5153,3),(5154,5),(5155,4),(5156,1),(5157,8),(5158,4),(5159,4),(5160,5),(5161,2),(5162,2),(5163,3),(5164,4),(5165,8),(5166,3),(5167,1),(5168,6),(5169,4),(5170,3),(5171,8),(5172,9),(5173,1),(5174,8),(5175,7),(5176,6),(5177,4),(5178,7),(5179,1),(5180,7),(5181,4),(5182,5),(5183,6),(5184,7),(5185,5),(5186,1),(5187,7),(5188,7),(5189,9),(5190,5),(5191,2),(5192,2),(5193,1),(5194,9),(5195,2),(5196,3),(5197,4),(5198,6),(5199,8),(5200,6),(5201,4),(5202,7),(5203,3),(5204,9),(5205,4),(5206,7),(5207,2),(5208,7),(5209,4),(5210,7),(5211,4),(5212,2),(5213,2),(5214,3),(5215,4),(5216,3),(5217,9),(5218,9),(5219,5),(5220,7),(5221,5),(5222,2),(5223,8),(5224,5),(5225,8),(5226,4),(5227,2),(5228,7),(5229,3),(5230,5),(5231,8),(5232,8),(5233,4),(5234,3),(5235,7),(5236,8),(5237,6),(5238,4),(5239,6),(5240,3),(5241,3),(5242,4),(5243,8),(5244,1),(5245,9),(5246,5),(5247,3),(5248,4),(5249,9),(5250,6),(5251,5),(5252,6),(5253,7),(5254,2),(5255,7),(5256,4),(5257,9),(5258,6),(5259,9),(5260,2),(5261,7),(5262,3),(5263,9),(5264,1),(5265,5),(5266,8),(5267,4),(5268,1),(5269,2),(5270,6),(5271,3),(5272,2),(5273,9),(5274,4),(5275,9),(5276,6),(5277,3),(5278,8),(5279,5),(5280,7),(5281,4),(5282,3),(5283,5),(5284,9),(5285,8),(5286,6),(5287,2),(5288,8),(5289,6),(5290,7),(5291,7),(5292,2),(5293,7),(5294,5),(5295,8),(5296,5),(5297,8),(5298,8),(5299,2),(5300,6),(5301,6),(5302,8),(5303,4),(5304,6),(5305,6),(5306,1),(5307,4),(5308,7),(5309,5),(5310,2),(5311,7),(5312,6),(5313,6),(5314,5),(5315,7),(5316,7),(5317,6),(5318,6),(5319,9),(5320,9),(5321,6),(5322,3),(5323,3),(5324,5),(5325,9),(5326,1),(5327,6),(5328,9),(5329,7),(5330,6),(5331,5),(5332,7),(5333,1),(5334,5),(5335,9),(5336,7),(5337,2),(5338,2),(5339,8),(5340,8),(5341,5),(5342,1),(5343,9),(5344,3),(5345,2),(5346,5),(5347,8),(5348,5),(5349,5),(5350,1),(5351,9),(5352,2),(5353,1),(5354,1),(5355,3),(5356,4),(5357,4),(5358,3),(5359,6),(5360,2),(5361,9),(5362,6),(5363,4),(5364,9),(5365,6),(5366,1),(5367,8),(5368,3),(5369,7),(5370,5),(5371,6),(5372,4),(5373,6),(5374,1),(5375,5),(5376,6),(5377,7),(5378,4),(5379,2),(5380,4),(5381,9),(5382,3),(5383,1),(5384,7),(5385,4),(5386,2),(5387,7),(5388,5),(5389,2),(5390,1),(5391,6),(5392,8),(5393,7),(5394,6),(5395,6),(5396,9),(5397,8),(5398,2),(5399,8),(5400,3),(5401,5),(5402,6),(5403,5),(5404,4),(5405,9),(5406,5),(5407,4),(5408,4),(5409,1),(5410,7),(5411,4),(5412,9),(5413,9),(5414,9),(5415,7),(5416,2),(5417,5),(5418,9),(5419,7),(5420,3),(5421,1),(5422,9),(5423,2),(5424,7),(5425,8),(5426,9),(5427,8),(5428,8),(5429,3),(5430,8),(5431,2),(5432,7),(5433,9),(5434,8),(5435,8),(5436,4),(5437,9),(5438,1),(5439,1),(5440,3),(5441,1),(5442,7),(5443,9),(5444,6),(5445,4),(5446,2),(5447,7),(5448,7),(5449,6),(5450,7),(5451,8),(5452,9),(5453,3),(5454,3),(5455,2),(5456,4),(5457,9),(5458,1),(5459,5),(5460,6),(5461,7),(5462,9),(5463,8),(5464,2),(5465,7),(5466,6),(5467,7),(5468,8),(5469,5),(5470,2),(5471,3),(5472,9),(5473,9),(5474,6),(5475,5),(5476,4),(5477,6),(5478,4),(5479,3),(5480,8),(5481,2),(5482,7),(5483,8),(5484,9),(5485,4),(5486,7),(5487,6),(5488,8),(5489,8),(5490,5),(5491,3),(5492,2),(5493,8),(5494,9),(5495,2),(5496,4),(5497,3),(5498,2),(5499,4),(5500,9),(5501,3),(5502,8),(5503,3),(5504,1),(5505,2),(5506,6),(5507,5),(5508,8),(5509,4),(5510,8),(5511,6),(5512,8),(5513,7),(5514,1),(5515,3),(5516,8),(5517,8),(5518,2),(5519,8),(5520,6),(5521,1),(5522,9),(5523,4),(5524,7),(5525,1),(5526,8),(5527,8),(5528,7),(5529,7),(5530,9),(5531,8),(5532,8),(5533,2),(5534,8),(5535,5),(5536,9),(5537,3),(5538,8),(5539,7),(5540,5),(5541,3),(5542,3),(5543,7),(5544,9),(5545,6),(5546,9),(5547,6),(5548,3),(5549,7),(5550,8),(5551,1),(5552,1),(5553,5),(5554,3),(5555,3),(5556,5),(5557,9),(5558,2),(5559,2),(5560,4),(5561,6),(5562,2),(5563,9),(5564,1),(5565,3),(5566,6),(5567,5),(5568,4),(5569,1),(5570,8),(5571,4),(5572,9),(5573,8),(5574,1),(5575,3),(5576,1),(5577,4),(5578,2),(5579,7),(5580,4),(5581,1),(5582,7),(5583,2),(5584,9),(5585,3),(5586,6),(5587,8),(5588,7),(5589,3),(5590,6),(5591,3),(5592,3),(5593,7),(5594,5),(5595,9),(5596,2),(5597,6),(5598,5),(5599,1),(5600,1),(5601,2),(5602,3),(5603,9),(5604,4),(5605,7),(5606,7),(5607,5),(5608,6),(5609,7),(5610,7),(5611,2),(5612,6),(5613,5),(5614,7),(5615,2),(5616,1),(5617,2),(5618,8),(5619,6),(5620,4),(5621,8),(5622,5),(5623,2),(5624,7),(5625,8),(5626,8),(5627,8),(5628,3),(5629,8),(5630,6),(5631,2),(5632,4),(5633,2),(5634,1),(5635,2),(5636,4),(5637,3),(5638,6),(5639,9),(5640,6),(5641,3),(5642,7),(5643,3),(5644,2),(5645,9),(5646,2),(5647,4),(5648,4),(5649,2),(5650,5),(5651,5),(5652,3),(5653,2),(5654,1),(5655,7),(5656,4),(5657,4),(5658,6),(5659,2),(5660,3),(5661,7),(5662,7),(5663,4),(5664,8),(5665,8),(5666,6),(5667,4),(5668,7),(5669,7),(5670,8),(5671,5),(5672,5),(5673,7),(5674,1),(5675,2),(5676,4),(5677,2),(5678,5),(5679,7),(5680,9),(5681,9),(5682,5),(5683,3),(5684,7),(5685,4),(5686,7),(5687,4),(5688,6),(5689,1),(5690,9),(5691,1),(5692,3),(5693,4),(5694,9),(5695,1),(5696,5),(5697,7),(5698,4),(5699,8),(5700,1),(5701,9),(5702,2),(5703,3),(5704,1),(5705,6),(5706,9),(5707,9),(5708,9),(5709,9),(5710,7),(5711,7),(5712,6),(5713,5),(5714,9),(5715,4),(5716,6),(5717,1),(5718,6),(5719,6),(5720,5),(5721,9),(5722,8),(5723,2),(5724,1),(5725,4),(5726,8),(5727,1),(5728,4),(5729,1),(5730,8),(5731,5),(5732,1),(5733,4),(5734,5),(5735,3),(5736,6),(5737,7),(5738,8),(5739,9),(5740,4),(5741,2),(5742,9),(5743,5),(5744,3),(5745,1),(5746,7),(5747,4),(5748,6),(5749,5),(5750,5),(5751,3),(5752,6),(5753,2),(5754,5),(5755,4),(5756,5),(5757,3),(5758,2),(5759,7),(5760,1),(5761,4),(5762,2),(5763,7),(5764,8),(5765,6),(5766,5),(5767,4),(5768,7),(5769,1),(5770,6),(5771,7),(5772,5),(5773,1),(5774,3),(5775,4),(5776,3),(5777,4),(5778,3),(5779,6),(5780,3),(5781,5),(5782,6),(5783,7),(5784,5),(5785,7),(5786,4),(5787,6),(5788,8),(5789,4),(5790,6),(5791,6),(5792,1),(5793,5),(5794,4),(5795,9),(5796,2),(5797,8),(5798,2),(5799,2),(5800,1),(5801,2),(5802,4),(5803,1),(5804,6),(5805,3),(5806,8),(5807,2),(5808,1),(5809,7),(5810,9),(5811,6),(5812,3),(5813,2),(5814,4),(5815,4),(5816,6),(5817,1),(5818,6),(5819,3),(5820,1),(5821,1),(5822,1),(5823,6),(5824,5),(5825,3),(5826,7),(5827,2),(5828,5),(5829,6),(5830,3),(5831,1),(5832,1),(5833,7),(5834,1),(5835,4),(5836,5),(5837,7),(5838,5),(5839,2),(5840,4),(5841,8),(5842,2),(5843,4),(5844,5),(5845,3),(5846,4),(5847,6),(5848,8),(5849,7),(5850,4),(5851,6),(5852,6),(5853,4),(5854,7),(5855,7),(5856,4),(5857,9),(5858,5),(5859,5),(5860,3),(5861,4),(5862,2),(5863,6),(5864,4),(5865,1),(5866,5),(5867,8),(5868,6),(5869,4),(5870,9),(5871,6),(5872,7),(5873,7),(5874,5),(5875,1),(5876,2),(5877,8),(5878,6),(5879,8),(5880,8),(5881,8),(5882,3),(5883,4),(5884,9),(5885,8),(5886,1),(5887,8),(5888,8),(5889,5),(5890,8),(5891,4),(5892,9),(5893,6),(5894,3),(5895,7),(5896,2),(5897,6),(5898,7),(5899,8),(5900,5),(5901,8),(5902,5),(5903,1),(5904,2),(5905,8),(5906,9),(5907,9),(5908,2),(5909,2),(5910,8),(5911,7),(5912,4),(5913,3),(5914,2),(5915,1),(5916,3),(5917,8),(5918,4),(5919,3),(5920,9),(5921,3),(5922,9),(5923,6),(5924,3),(5925,4),(5926,5),(5927,3),(5928,8),(5929,6),(5930,1),(5931,9),(5932,7),(5933,1),(5934,1),(5935,4),(5936,8),(5937,4),(5938,2),(5939,3),(5940,1),(5941,7),(5942,5),(5943,3),(5944,1),(5945,5),(5946,4),(5947,9),(5948,1),(5949,5),(5950,5),(5951,2),(5952,2),(5953,1),(5954,4),(5955,9),(5956,4),(5957,2),(5958,9),(5959,6),(5960,6),(5961,2),(5962,1),(5963,7),(5964,6),(5965,5),(5966,4),(5967,3),(5968,6),(5969,2),(5970,3),(5971,9),(5972,3),(5973,8),(5974,8),(5975,7),(5976,9),(5977,2),(5978,3),(5979,8),(5980,2),(5981,1),(5982,6),(5983,7),(5984,6),(5985,3),(5986,5),(5987,3),(5988,4),(5989,4),(5990,7),(5991,5),(5992,8),(5993,3),(5994,7),(5995,3),(5996,6),(5997,1),(5998,3),(5999,3),(6000,5),(6001,9),(6002,9),(6003,1),(6004,7),(6005,4),(6006,4),(6007,7),(6008,8),(6009,4),(6010,3),(6011,5),(6012,5),(6013,3),(6014,1),(6015,7),(6016,5),(6017,6),(6018,1),(6019,9),(6020,3),(6021,2),(6022,7),(6023,2),(6024,6),(6025,2),(6026,9),(6027,3),(6028,1),(6029,8),(6030,4),(6031,4),(6032,2),(6033,1),(6034,6),(6035,4),(6036,3),(6037,4),(6038,9),(6039,7),(6040,9),(6041,2),(6042,1),(6043,3),(6044,1),(6045,1),(6046,6),(6047,8),(6048,7),(6049,1),(6050,1),(6051,4),(6052,7),(6053,8),(6054,1),(6055,7),(6056,9),(6057,1),(6058,1),(6059,4),(6060,8),(6061,8),(6062,7),(6063,9),(6064,9),(6065,6),(6066,2),(6067,9),(6068,2),(6069,7),(6070,1),(6071,7),(6072,9),(6073,1),(6074,1),(6075,6),(6076,4),(6077,4),(6078,2),(6079,6),(6080,7),(6081,4),(6082,7),(6083,4),(6084,8),(6085,6),(6086,4),(6087,9),(6088,1),(6089,2),(6090,3),(6091,9),(6092,9),(6093,7),(6094,1),(6095,7),(6096,3),(6097,6),(6098,8),(6099,2),(6100,4),(6101,6),(6102,6),(6103,6),(6104,2),(6105,8),(6106,6),(6107,8),(6108,1),(6109,8),(6110,1),(6111,1),(6112,1),(6113,2),(6114,5),(6115,9),(6116,6),(6117,6),(6118,6),(6119,7),(6120,8),(6121,1),(6122,5),(6123,3),(6124,4),(6125,6),(6126,3),(6127,6),(6128,8),(6129,4),(6130,5),(6131,3),(6132,1),(6133,1),(6134,9),(6135,3),(6136,3),(6137,3),(6138,9),(6139,1),(6140,3),(6141,5),(6142,6),(6143,9),(6144,7),(6145,5),(6146,9),(6147,2),(6148,8),(6149,1),(6150,4),(6151,9),(6152,1),(6153,2),(6154,7),(6155,8),(6156,6),(6157,9),(6158,9),(6159,3),(6160,5),(6161,6),(6162,1),(6163,6),(6164,1),(6165,2),(6166,9),(6167,6),(6168,2),(6169,3),(6170,8),(6171,5),(6172,6),(6173,6),(6174,8),(6175,8),(6176,1),(6177,2),(6178,4),(6179,7),(6180,3),(6181,6),(6182,3),(6183,6),(6184,5),(6185,6),(6186,1),(6187,3),(6188,1),(6189,5),(6190,8),(6191,1),(6192,5),(6193,1),(6194,6),(6195,4),(6196,5),(6197,6),(6198,3),(6199,7),(6200,3),(6201,4),(6202,6),(6203,3),(6204,9),(6205,2),(6206,4),(6207,3),(6208,1),(6209,7),(6210,9),(6211,7),(6212,8),(6213,2),(6214,8),(6215,6),(6216,4),(6217,1),(6218,7),(6219,8),(6220,9),(6221,2),(6222,3),(6223,2),(6224,8),(6225,7),(6226,1),(6227,6),(6228,2),(6229,8),(6230,5),(6231,1),(6232,8),(6233,5),(6234,7),(6235,4),(6236,6),(6237,6),(6238,6),(6239,7),(6240,3),(6241,1),(6242,6),(6243,3),(6244,1),(6245,5),(6246,7),(6247,5),(6248,2),(6249,3),(6250,4),(6251,8),(6252,3),(6253,7),(6254,5),(6255,2),(6256,4),(6257,6),(6258,2),(6259,3),(6260,3),(6261,4),(6262,3),(6263,8),(6264,4),(6265,4),(6266,9),(6267,2),(6268,1),(6269,6),(6270,4),(6271,5),(6272,8),(6273,4),(6274,7),(6275,8),(6276,1),(6277,6),(6278,7),(6279,3),(6280,8),(6281,4),(6282,1),(6283,5),(6284,3),(6285,9),(6286,5),(6287,2),(6288,8),(6289,3),(6290,5),(6291,4),(6292,7),(6293,7),(6294,8),(6295,8),(6296,7),(6297,7),(6298,2),(6299,5),(6300,9),(6301,3),(6302,1),(6303,1),(6304,7),(6305,6),(6306,4),(6307,6),(6308,8),(6309,9),(6310,8),(6311,6),(6312,6),(6313,9),(6314,8),(6315,4),(6316,4),(6317,2),(6318,5),(6319,4),(6320,3),(6321,3),(6322,3),(6323,8),(6324,9),(6325,4),(6326,4),(6327,2),(6328,4),(6329,7),(6330,1),(6331,9),(6332,9),(6333,7),(6334,7),(6335,7),(6336,9),(6337,1),(6338,1),(6339,7),(6340,8),(6341,9),(6342,5),(6343,6),(6344,9),(6345,8),(6346,4),(6347,2),(6348,1),(6349,8),(6350,4),(6351,8),(6352,7),(6353,3),(6354,1),(6355,6),(6356,2),(6357,9),(6358,1),(6359,1),(6360,5),(6361,6),(6362,5),(6363,6),(6364,5),(6365,7),(6366,6),(6367,9),(6368,8),(6369,5),(6370,6),(6371,7),(6372,3),(6373,2),(6374,2),(6375,9),(6376,1),(6377,8),(6378,2),(6379,3),(6380,4),(6381,6),(6382,5),(6383,1),(6384,1),(6385,2),(6386,6),(6387,1),(6388,8),(6389,2),(6390,7),(6391,2),(6392,3),(6393,2),(6394,4),(6395,2),(6396,8),(6397,9),(6398,8),(6399,6),(6400,3),(6401,4),(6402,1),(6403,1),(6404,9),(6405,3),(6406,9),(6407,9),(6408,7),(6409,7),(6410,8),(6411,3),(6412,7),(6413,9),(6414,3),(6415,9),(6416,6),(6417,4),(6418,6),(6419,2),(6420,4),(6421,4),(6422,9),(6423,1),(6424,6),(6425,4),(6426,8),(6427,3),(6428,9),(6429,1),(6430,8),(6431,3),(6432,8),(6433,2),(6434,8),(6435,3),(6436,4),(6437,7),(6438,8),(6439,5),(6440,1),(6441,8),(6442,5),(6443,2),(6444,8),(6445,7),(6446,1),(6447,7),(6448,9),(6449,3),(6450,2),(6451,8),(6452,2),(6453,4),(6454,2),(6455,7),(6456,8),(6457,5),(6458,8),(6459,1),(6460,9),(6461,2),(6462,3),(6463,5),(6464,8),(6465,2),(6466,8),(6467,7),(6468,2),(6469,8),(6470,1),(6471,8),(6472,9),(6473,8),(6474,1),(6475,3),(6476,1),(6477,6),(6478,6),(6479,1),(6480,3),(6481,7),(6482,3),(6483,7),(6484,1),(6485,9),(6486,7),(6487,8),(6488,4),(6489,5),(6490,8),(6491,4),(6492,9),(6493,5),(6494,7),(6495,5),(6496,5),(6497,7),(6498,1),(6499,8),(6500,8),(6501,1),(6502,4),(6503,3),(6504,6),(6505,7),(6506,3),(6507,4),(6508,4),(6509,8),(6510,3),(6511,8),(6512,5),(6513,5),(6514,1),(6515,5),(6516,2),(6517,9),(6518,6),(6519,7),(6520,1),(6521,4),(6522,2),(6523,3),(6524,6),(6525,5),(6526,1),(6527,3),(6528,6),(6529,5),(6530,9),(6531,6),(6532,2),(6533,3),(6534,5),(6535,8),(6536,2),(6537,4),(6538,7),(6539,2),(6540,9),(6541,2),(6542,7),(6543,9),(6544,1),(6545,7),(6546,3),(6547,6),(6548,2),(6549,8),(6550,9),(6551,5),(6552,3),(6553,1),(6554,9),(6555,2),(6556,1),(6557,6),(6558,4),(6559,7),(6560,5),(6561,1),(6562,8),(6563,3),(6564,4),(6565,8),(6566,4),(6567,4),(6568,9),(6569,6),(6570,7),(6571,8),(6572,6),(6573,5),(6574,8),(6575,5),(6576,9),(6577,2),(6578,2),(6579,5),(6580,5),(6581,7),(6582,5),(6583,2),(6584,8),(6585,6),(6586,8),(6587,9),(6588,5),(6589,7),(6590,5),(6591,4),(6592,1),(6593,5),(6594,3),(6595,1),(6596,9),(6597,1),(6598,8),(6599,8),(6600,6),(6601,2),(6602,3),(6603,4),(6604,6),(6605,8),(6606,7),(6607,4),(6608,9),(6609,8),(6610,5),(6611,5),(6612,3),(6613,7),(6614,7),(6615,7),(6616,2),(6617,7),(6618,4),(6619,9),(6620,5),(6621,7),(6622,7),(6623,6),(6624,3),(6625,1),(6626,7),(6627,6),(6628,2),(6629,4),(6630,5),(6631,5),(6632,6),(6633,5),(6634,4),(6635,7),(6636,1),(6637,9),(6638,8),(6639,8),(6640,3),(6641,9),(6642,9),(6643,6),(6644,7),(6645,5),(6646,6),(6647,1),(6648,6),(6649,7),(6650,1),(6651,2),(6652,4),(6653,2),(6654,3),(6655,7),(6656,8),(6657,1),(6658,3),(6659,2),(6660,3),(6661,8),(6662,6),(6663,2),(6664,7),(6665,4),(6666,1),(6667,9),(6668,1),(6669,5),(6670,7),(6671,6),(6672,7),(6673,1),(6674,3),(6675,8),(6676,4),(6677,7),(6678,4),(6679,5),(6680,3),(6681,4),(6682,2),(6683,3),(6684,6),(6685,2),(6686,9),(6687,1),(6688,2),(6689,4),(6690,5),(6691,1),(6692,3),(6693,4),(6694,1),(6695,6),(6696,6),(6697,3),(6698,5),(6699,7),(6700,6),(6701,5),(6702,7),(6703,4),(6704,9),(6705,4),(6706,7),(6707,7),(6708,5),(6709,9),(6710,9),(6711,9),(6712,6),(6713,2),(6714,2),(6715,7),(6716,6),(6717,1),(6718,9),(6719,5),(6720,9),(6721,9),(6722,3),(6723,7),(6724,5),(6725,4),(6726,3),(6727,4),(6728,3),(6729,9),(6730,5),(6731,5),(6732,2),(6733,2),(6734,2),(6735,2),(6736,6),(6737,8),(6738,4),(6739,8),(6740,6),(6741,2),(6742,6),(6743,8),(6744,5),(6745,4),(6746,6),(6747,1),(6748,1),(6749,1),(6750,1),(6751,3),(6752,9),(6753,8),(6754,6),(6755,2),(6756,2),(6757,4),(6758,6),(6759,2),(6760,7),(6761,1),(6762,4),(6763,5),(6764,8),(6765,5),(6766,6),(6767,7),(6768,7),(6769,9),(6770,5),(6771,2),(6772,5),(6773,4),(6774,7),(6775,1),(6776,3),(6777,5),(6778,9),(6779,5),(6780,2),(6781,6),(6782,5),(6783,3),(6784,7),(6785,9),(6786,9),(6787,4),(6788,5),(6789,4),(6790,3),(6791,6),(6792,3),(6793,9),(6794,5),(6795,2),(6796,3),(6797,2),(6798,1),(6799,9),(6800,1),(6801,3),(6802,7),(6803,6),(6804,8),(6805,3),(6806,2),(6807,7),(6808,5),(6809,8),(6810,7),(6811,9),(6812,4),(6813,1),(6814,2),(6815,5),(6816,3),(6817,5),(6818,4),(6819,7),(6820,2),(6821,6),(6822,1),(6823,6),(6824,2),(6825,7),(6826,9),(6827,6),(6828,8),(6829,6),(6830,3),(6831,6),(6832,6),(6833,4),(6834,3),(6835,5),(6836,3),(6837,4),(6838,8),(6839,7),(6840,9),(6841,3),(6842,3),(6843,2),(6844,5),(6845,3),(6846,5),(6847,3),(6848,7),(6849,7),(6850,5),(6851,2),(6852,4),(6853,6),(6854,9),(6855,6),(6856,2),(6857,4),(6858,2),(6859,6),(6860,9),(6861,5),(6862,7),(6863,2),(6864,6),(6865,8),(6866,8),(6867,9),(6868,7),(6869,3),(6870,8),(6871,8),(6872,9),(6873,8),(6874,2),(6875,3),(6876,8),(6877,1),(6878,4),(6879,2),(6880,8),(6881,6),(6882,7),(6883,6),(6884,9),(6885,2),(6886,9),(6887,8),(6888,8),(6889,1),(6890,5),(6891,1),(6892,8),(6893,2),(6894,8),(6895,3),(6896,6),(6897,9),(6898,2),(6899,9),(6900,4),(6901,8),(6902,7),(6903,7),(6904,7),(6905,2),(6906,7),(6907,5),(6908,5),(6909,6),(6910,6),(6911,1),(6912,4),(6913,3),(6914,3),(6915,1),(6916,6),(6917,2),(6918,8),(6919,6),(6920,5),(6921,1),(6922,3),(6923,6),(6924,3),(6925,6),(6926,7),(6927,4),(6928,3),(6929,7),(6930,6),(6931,1),(6932,9),(6933,7),(6934,6),(6935,3),(6936,4),(6937,2),(6938,2),(6939,4),(6940,9),(6941,5),(6942,7),(6943,8),(6944,9),(6945,1),(6946,4),(6947,9),(6948,8),(6949,7),(6950,2),(6951,9),(6952,4),(6953,7),(6954,5),(6955,2),(6956,3),(6957,4),(6958,8),(6959,6),(6960,9),(6961,3),(6962,6),(6963,8),(6964,9),(6965,7),(6966,8),(6967,2),(6968,3),(6969,3),(6970,6),(6971,4),(6972,6),(6973,9),(6974,4),(6975,8),(6976,2),(6977,2),(6978,9),(6979,9),(6980,9),(6981,5),(6982,9),(6983,1),(6984,3),(6985,5),(6986,7),(6987,5),(6988,5),(6989,5),(6990,7),(6991,5),(6992,9),(6993,3),(6994,2),(6995,2),(6996,2),(6997,4),(6998,2),(6999,3),(7000,4),(7001,8),(7002,9),(7003,4),(7004,9),(7005,2),(7006,3),(7007,3),(7008,2),(7009,7),(7010,4),(7011,5),(7012,6),(7013,8),(7014,1),(7015,5),(7016,7),(7017,9),(7018,9),(7019,4),(7020,8),(7021,5),(7022,1),(7023,9),(7024,4),(7025,1),(7026,8),(7027,9),(7028,9),(7029,5),(7030,4),(7031,5),(7032,3),(7033,6),(7034,5),(7035,2),(7036,4),(7037,4),(7038,6),(7039,3),(7040,6),(7041,4),(7042,1),(7043,5),(7044,1),(7045,7),(7046,6),(7047,7),(7048,3),(7049,9),(7050,7),(7051,1),(7052,1),(7053,3),(7054,3),(7055,1),(7056,4),(7057,6),(7058,5),(7059,7),(7060,9),(7061,2),(7062,1),(7063,7),(7064,3),(7065,4),(7066,6),(7067,3),(7068,7),(7069,7),(7070,9),(7071,7),(7072,6),(7073,5),(7074,7),(7075,2),(7076,4),(7077,2),(7078,1),(7079,3),(7080,4),(7081,6),(7082,8),(7083,7),(7084,4),(7085,4),(7086,9),(7087,9),(7088,7),(7089,1),(7090,3),(7091,6),(7092,1),(7093,6),(7094,7),(7095,6),(7096,1),(7097,2),(7098,2),(7099,9),(7100,5),(7101,1),(7102,3),(7103,3),(7104,1),(7105,4),(7106,4),(7107,8),(7108,2),(7109,6),(7110,3),(7111,1),(7112,6),(7113,5),(7114,7),(7115,1),(7116,2),(7117,5),(7118,3),(7119,8),(7120,9),(7121,8),(7122,1),(7123,3),(7124,8),(7125,4),(7126,6),(7127,5),(7128,7),(7129,2),(7130,2),(7131,4),(7132,7),(7133,7),(7134,4),(7135,6),(7136,6),(7137,8),(7138,3),(7139,2),(7140,3),(7141,8),(7142,7),(7143,8),(7144,7),(7145,5),(7146,1),(7147,1),(7148,9),(7149,5),(7150,9),(7151,4),(7152,4),(7153,4),(7154,5),(7155,1),(7156,3),(7157,5),(7158,5),(7159,7),(7160,6),(7161,3),(7162,9),(7163,6),(7164,4),(7165,8),(7166,8),(7167,1),(7168,7),(7169,9),(7170,7),(7171,1),(7172,6),(7173,1),(7174,4),(7175,2),(7176,9),(7177,5),(7178,9),(7179,3),(7180,9),(7181,9),(7182,9),(7183,3),(7184,5),(7185,7),(7186,9),(7187,9),(7188,2),(7189,1),(7190,9),(7191,9),(7192,9),(7193,6),(7194,3),(7195,2),(7196,7),(7197,4),(7198,4),(7199,7),(7200,1),(7201,9),(7202,9),(7203,5),(7204,8),(7205,2),(7206,6),(7207,7),(7208,4),(7209,4),(7210,6),(7211,2),(7212,9),(7213,2),(7214,8),(7215,6),(7216,3),(7217,3),(7218,8),(7219,8),(7220,8),(7221,7),(7222,7),(7223,5),(7224,8),(7225,7),(7226,7),(7227,8),(7228,6),(7229,6),(7230,9),(7231,1),(7232,1),(7233,5),(7234,5),(7235,7),(7236,2),(7237,1),(7238,3),(7239,6),(7240,8),(7241,7),(7242,3),(7243,1),(7244,8),(7245,4),(7246,9),(7247,1),(7248,4),(7249,4),(7250,6),(7251,2),(7252,1),(7253,7),(7254,6),(7255,3),(7256,4),(7257,2),(7258,1),(7259,8),(7260,3),(7261,7),(7262,5),(7263,4),(7264,8),(7265,5),(7266,6),(7267,9),(7268,9),(7269,6),(7270,2),(7271,3),(7272,5),(7273,6),(7274,4),(7275,4),(7276,8),(7277,3),(7278,6),(7279,6),(7280,5),(7281,6),(7282,4),(7283,3),(7284,8),(7285,4),(7286,7),(7287,3),(7288,9),(7289,2),(7290,4),(7291,2),(7292,5),(7293,6),(7294,2),(7295,2),(7296,6),(7297,2),(7298,2),(7299,6),(7300,7),(7301,7),(7302,4),(7303,4),(7304,4),(7305,7),(7306,4),(7307,1),(7308,9),(7309,4),(7310,5),(7311,8),(7312,3),(7313,9),(7314,7),(7315,4),(7316,1),(7317,8),(7318,4),(7319,6),(7320,7),(7321,5),(7322,6),(7323,9),(7324,2),(7325,3),(7326,9),(7327,6),(7328,1),(7329,1),(7330,6),(7331,4),(7332,1),(7333,6),(7334,9),(7335,1),(7336,9),(7337,4),(7338,5),(7339,1),(7340,3),(7341,5),(7342,3),(7343,7),(7344,3),(7345,7),(7346,7),(7347,9),(7348,2),(7349,1),(7350,4),(7351,2),(7352,7),(7353,5),(7354,9),(7355,6),(7356,8),(7357,6),(7358,3),(7359,8),(7360,9),(7361,8),(7362,1),(7363,4),(7364,8),(7365,2),(7366,5),(7367,9),(7368,7),(7369,5),(7370,6),(7371,6),(7372,8),(7373,4),(7374,5),(7375,9),(7376,8),(7377,9),(7378,3),(7379,6),(7380,3),(7381,8),(7382,1),(7383,9),(7384,8),(7385,4),(7386,2),(7387,2),(7388,8),(7389,7),(7390,5),(7391,1),(7392,5),(7393,6),(7394,3),(7395,5),(7396,8),(7397,8),(7398,2),(7399,9),(7400,8),(7401,7),(7402,2),(7403,3),(7404,9),(7405,9),(7406,9),(7407,6),(7408,8),(7409,1),(7410,1),(7411,8),(7412,1),(7413,4),(7414,5),(7415,3),(7416,7),(7417,9),(7418,2),(7419,5),(7420,7),(7421,9),(7422,8),(7423,3),(7424,6),(7425,3),(7426,6),(7427,7),(7428,9),(7429,5),(7430,8),(7431,5),(7432,1),(7433,8),(7434,8),(7435,5),(7436,6),(7437,8),(7438,5),(7439,2),(7440,9),(7441,3),(7442,5),(7443,4),(7444,3),(7445,4),(7446,8),(7447,7),(7448,3),(7449,8),(7450,9),(7451,9),(7452,7),(7453,1),(7454,7),(7455,4),(7456,4),(7457,8),(7458,5),(7459,7),(7460,6),(7461,1),(7462,8),(7463,3),(7464,1),(7465,7),(7466,6),(7467,9),(7468,8),(7469,3),(7470,3),(7471,4),(7472,5),(7473,7),(7474,9),(7475,3),(7476,8),(7477,8),(7478,6),(7479,4),(7480,6),(7481,2),(7482,1),(7483,8),(7484,2),(7485,1),(7486,1),(7487,3),(7488,4),(7489,7),(7490,7),(7491,4),(7492,4),(7493,1),(7494,8),(7495,2),(7496,3),(7497,8),(7498,9),(7499,1),(7500,3),(7501,6),(7502,2),(7503,5),(7504,1),(7505,3),(7506,5),(7507,6),(7508,9),(7509,4),(7510,2),(7511,1),(7512,5),(7513,1),(7514,8),(7515,2),(7516,1),(7517,6),(7518,7),(7519,1),(7520,9),(7521,1),(7522,4),(7523,1),(7524,2),(7525,4),(7526,8),(7527,9),(7528,6),(7529,7),(7530,7),(7531,9),(7532,6),(7533,9),(7534,6),(7535,6),(7536,1),(7537,2),(7538,2),(7539,1),(7540,9),(7541,1),(7542,9),(7543,3),(7544,3),(7545,8),(7546,1),(7547,8),(7548,4),(7549,9),(7550,5),(7551,2),(7552,7),(7553,6),(7554,1),(7555,9),(7556,6),(7557,7),(7558,7),(7559,3),(7560,5),(7561,9),(7562,2),(7563,3),(7564,1),(7565,5),(7566,6),(7567,9),(7568,9),(7569,1),(7570,5),(7571,6),(7572,9),(7573,4),(7574,8),(7575,2),(7576,7),(7577,4),(7578,6),(7579,5),(7580,6),(7581,1),(7582,1),(7583,3),(7584,3),(7585,4),(7586,9),(7587,4),(7588,2),(7589,8),(7590,5),(7591,4),(7592,1),(7593,1),(7594,9),(7595,1),(7596,8),(7597,1),(7598,4),(7599,3),(7600,1),(7601,4),(7602,4),(7603,7),(7604,6),(7605,1),(7606,2),(7607,8),(7608,9),(7609,7),(7610,2),(7611,6),(7612,6),(7613,5),(7614,8),(7615,8),(7616,3),(7617,6),(7618,1),(7619,9),(7620,6),(7621,6),(7622,7),(7623,7),(7624,6),(7625,6),(7626,6),(7627,8),(7628,5),(7629,3),(7630,7),(7631,4),(7632,4),(7633,7),(7634,3),(7635,2),(7636,8),(7637,8),(7638,6),(7639,2),(7640,6),(7641,5),(7642,2),(7643,9),(7644,1),(7645,8),(7646,3),(7647,1),(7648,2),(7649,9),(7650,4),(7651,6),(7652,3),(7653,8),(7654,1),(7655,2),(7656,9),(7657,7),(7658,8),(7659,6),(7660,2),(7661,1),(7662,7),(7663,3),(7664,9),(7665,1),(7666,1),(7667,6),(7668,5),(7669,5),(7670,6),(7671,2),(7672,8),(7673,7),(7674,9),(7675,4),(7676,2),(7677,9),(7678,8),(7679,1),(7680,6),(7681,2),(7682,9),(7683,9),(7684,8),(7685,5),(7686,7),(7687,7),(7688,5),(7689,5),(7690,8),(7691,8),(7692,9),(7693,2),(7694,9),(7695,3),(7696,3),(7697,9),(7698,5),(7699,7),(7700,6),(7701,7),(7702,4),(7703,8),(7704,4),(7705,4),(7706,8),(7707,9),(7708,3),(7709,1),(7710,2),(7711,5),(7712,6),(7713,3),(7714,6),(7715,1),(7716,5),(7717,2),(7718,1),(7719,7),(7720,6),(7721,8),(7722,6),(7723,4),(7724,9),(7725,7),(7726,3),(7727,9),(7728,7),(7729,6),(7730,5),(7731,6),(7732,2),(7733,6),(7734,1),(7735,1),(7736,7),(7737,2),(7738,8),(7739,1),(7740,8),(7741,3),(7742,3),(7743,7),(7744,1),(7745,7),(7746,1),(7747,3),(7748,7),(7749,6),(7750,4),(7751,4),(7752,1),(7753,2),(7754,1),(7755,7),(7756,2),(7757,4),(7758,1),(7759,2),(7760,1),(7761,9),(7762,7),(7763,4),(7764,2),(7765,4),(7766,3),(7767,9),(7768,5),(7769,7),(7770,7),(7771,1),(7772,2),(7773,9),(7774,5),(7775,7),(7776,1),(7777,5),(7778,1),(7779,9),(7780,3),(7781,9),(7782,4),(7783,2),(7784,8),(7785,7),(7786,3),(7787,5),(7788,7),(7789,7),(7790,2),(7791,5),(7792,4),(7793,5),(7794,2),(7795,8),(7796,8),(7797,4),(7798,2),(7799,2),(7800,8),(7801,9),(7802,2),(7803,6),(7804,8),(7805,5),(7806,1),(7807,3),(7808,8),(7809,9),(7810,3),(7811,6),(7812,9),(7813,2),(7814,1),(7815,1),(7816,8),(7817,7),(7818,9),(7819,8),(7820,6),(7821,3),(7822,4),(7823,4),(7824,1),(7825,9),(7826,5),(7827,5),(7828,8),(7829,6),(7830,2),(7831,2),(7832,2),(7833,8),(7834,1),(7835,2),(7836,3),(7837,1),(7838,6),(7839,5),(7840,1),(7841,5),(7842,6),(7843,1),(7844,6),(7845,8),(7846,1),(7847,9),(7848,2),(7849,1),(7850,2),(7851,9),(7852,2),(7853,7),(7854,3),(7855,7),(7856,4),(7857,3),(7858,9),(7859,1),(7860,5),(7861,1),(7862,3),(7863,9),(7864,4),(7865,3),(7866,6),(7867,5),(7868,3),(7869,8),(7870,7),(7871,8),(7872,2),(7873,3),(7874,6),(7875,1),(7876,2),(7877,9),(7878,2),(7879,6),(7880,9),(7881,2),(7882,1),(7883,2),(7884,1),(7885,1),(7886,6),(7887,5),(7888,4),(7889,1),(7890,9),(7891,3),(7892,1),(7893,1),(7894,6),(7895,4),(7896,5),(7897,9),(7898,8),(7899,2),(7900,9),(7901,9),(7902,3),(7903,1),(7904,1),(7905,3),(7906,9),(7907,9),(7908,6),(7909,7),(7910,7),(7911,9),(7912,9),(7913,3),(7914,3),(7915,1),(7916,1),(7917,8),(7918,8),(7919,4),(7920,1),(7921,5),(7922,7),(7923,5),(7924,6),(7925,6),(7926,6),(7927,6),(7928,4),(7929,3),(7930,6),(7931,2),(7932,7),(7933,6),(7934,1),(7935,8),(7936,5),(7937,6),(7938,4),(7939,9),(7940,6),(7941,9),(7942,9),(7943,1),(7944,9),(7945,8),(7946,6),(7947,5),(7948,4),(7949,7),(7950,3),(7951,3),(7952,2),(7953,5),(7954,8),(7955,5),(7956,3),(7957,8),(7958,3),(7959,9),(7960,8),(7961,5),(7962,6),(7963,5),(7964,9),(7965,6),(7966,7),(7967,1),(7968,1),(7969,4),(7970,7),(7971,3),(7972,5),(7973,3),(7974,4),(7975,4),(7976,5),(7977,2),(7978,5),(7979,1),(7980,9),(7981,8),(7982,7),(7983,3),(7984,7),(7985,2),(7986,7),(7987,3),(7988,4),(7989,4),(7990,4),(7991,3),(7992,1),(7993,1),(7994,2),(7995,3),(7996,7),(7997,8),(7998,9),(7999,4),(8000,8),(8001,3),(8002,5),(8003,9),(8004,4),(8005,6),(8006,6),(8007,4),(8008,2),(8009,1),(8010,6),(8011,6),(8012,6),(8013,2),(8014,7),(8015,8),(8016,4),(8017,3),(8018,9),(8019,1),(8020,5),(8021,1),(8022,1),(8023,8),(8024,7),(8025,8),(8026,1),(8027,8),(8028,7),(8029,6),(8030,9),(8031,8),(8032,5),(8033,4),(8034,2),(8035,5),(8036,9),(8037,3),(8038,2),(8039,1),(8040,3),(8041,6),(8042,3),(8043,4),(8044,6),(8045,7),(8046,5),(8047,8),(8048,9),(8049,5),(8050,7),(8051,3),(8052,5),(8053,6),(8054,4),(8055,4),(8056,7),(8057,2),(8058,5),(8059,1),(8060,4),(8061,4),(8062,9),(8063,9),(8064,1),(8065,3),(8066,7),(8067,7),(8068,8),(8069,5),(8070,4),(8071,4),(8072,6),(8073,3),(8074,5),(8075,2),(8076,8),(8077,7),(8078,6),(8079,8),(8080,6),(8081,3),(8082,6),(8083,6),(8084,1),(8085,3),(8086,5),(8087,1),(8088,9),(8089,1),(8090,1),(8091,3),(8092,9),(8093,7),(8094,5),(8095,9),(8096,2),(8097,7),(8098,9),(8099,2),(8100,8),(8101,9),(8102,3),(8103,4),(8104,1),(8105,7),(8106,5),(8107,9),(8108,1),(8109,3),(8110,4),(8111,2),(8112,6),(8113,7),(8114,5),(8115,8),(8116,8),(8117,2),(8118,5),(8119,1),(8120,7),(8121,1),(8122,2),(8123,7),(8124,5),(8125,7),(8126,5),(8127,9),(8128,2),(8129,1),(8130,3),(8131,5),(8132,9),(8133,5),(8134,5),(8135,3),(8136,2),(8137,2),(8138,7),(8139,4),(8140,8),(8141,7),(8142,9),(8143,5),(8144,4),(8145,6),(8146,4),(8147,2),(8148,6),(8149,3),(8150,2),(8151,8),(8152,6),(8153,1),(8154,4),(8155,6),(8156,3),(8157,2),(8158,8),(8159,4),(8160,7),(8161,1),(8162,8),(8163,5),(8164,8),(8165,4),(8166,4),(8167,8),(8168,7),(8169,3),(8170,2),(8171,3),(8172,7),(8173,2),(8174,1),(8175,2),(8176,2),(8177,7),(8178,5),(8179,5),(8180,5),(8181,6),(8182,8),(8183,4),(8184,5),(8185,3),(8186,9),(8187,2),(8188,1),(8189,4),(8190,3),(8191,6),(8192,8),(8193,6),(8194,9),(8195,8),(8196,9),(8197,5),(8198,6),(8199,7),(8200,5),(8201,9),(8202,4),(8203,3),(8204,9),(8205,2),(8206,7),(8207,5),(8208,7),(8209,1),(8210,9),(8211,5),(8212,4),(8213,1),(8214,6),(8215,4),(8216,2),(8217,9),(8218,9),(8219,6),(8220,8),(8221,3),(8222,6),(8223,7),(8224,9),(8225,4),(8226,4),(8227,2),(8228,6),(8229,2),(8230,5),(8231,5),(8232,7),(8233,6),(8234,7),(8235,4),(8236,7),(8237,4),(8238,2),(8239,8),(8240,6),(8241,9),(8242,9),(8243,5),(8244,8),(8245,2),(8246,6),(8247,7),(8248,3),(8249,4),(8250,8),(8251,7),(8252,5),(8253,4),(8254,1),(8255,7),(8256,2),(8257,7),(8258,9),(8259,6),(8260,4),(8261,6),(8262,5),(8263,1),(8264,7),(8265,2),(8266,8),(8267,1),(8268,4),(8269,6),(8270,5),(8271,1),(8272,3),(8273,2),(8274,8),(8275,5),(8276,8),(8277,6),(8278,6),(8279,9),(8280,9),(8281,9),(8282,2),(8283,3),(8284,1),(8285,2),(8286,8),(8287,3),(8288,5),(8289,7),(8290,5),(8291,6),(8292,7),(8293,9),(8294,6),(8295,1),(8296,7),(8297,6),(8298,6),(8299,6),(8300,2),(8301,9),(8302,7),(8303,6),(8304,9),(8305,8),(8306,3),(8307,4),(8308,5),(8309,1),(8310,3),(8311,2),(8312,5),(8313,7),(8314,6),(8315,1),(8316,9),(8317,2),(8318,6),(8319,2),(8320,6),(8321,8),(8322,7),(8323,3),(8324,2),(8325,7),(8326,2),(8327,8),(8328,2),(8329,3),(8330,7),(8331,1),(8332,5),(8333,7),(8334,3),(8335,2),(8336,7),(8337,6),(8338,4),(8339,9),(8340,8),(8341,4),(8342,3),(8343,5),(8344,5),(8345,2),(8346,4),(8347,5),(8348,5),(8349,2),(8350,6),(8351,8),(8352,6),(8353,1),(8354,3),(8355,1),(8356,9),(8357,3),(8358,5),(8359,4),(8360,4),(8361,3),(8362,1),(8363,2),(8364,7),(8365,5),(8366,6),(8367,8),(8368,5),(8369,1),(8370,3),(8371,5),(8372,5),(8373,1),(8374,6),(8375,4),(8376,9),(8377,1),(8378,8),(8379,1),(8380,2),(8381,5),(8382,8),(8383,5),(8384,9),(8385,3),(8386,2),(8387,4),(8388,2),(8389,1),(8390,1),(8391,6),(8392,2),(8393,4),(8394,6),(8395,8),(8396,9),(8397,4),(8398,9),(8399,4),(8400,7),(8401,8),(8402,5),(8403,4),(8404,1),(8405,4),(8406,9),(8407,7),(8408,1),(8409,4),(8410,9),(8411,1),(8412,1),(8413,6),(8414,5),(8415,3),(8416,2),(8417,3),(8418,7),(8419,6),(8420,4),(8421,6),(8422,5),(8423,5),(8424,8),(8425,1),(8426,1),(8427,9),(8428,5),(8429,2),(8430,1),(8431,6),(8432,1),(8433,9),(8434,3),(8435,7),(8436,9),(8437,6),(8438,2),(8439,1),(8440,1),(8441,9),(8442,8),(8443,6),(8444,5),(8445,5),(8446,6),(8447,8),(8448,5),(8449,2),(8450,8),(8451,6),(8452,4),(8453,5),(8454,6),(8455,2),(8456,2),(8457,2),(8458,8),(8459,3),(8460,7),(8461,2),(8462,5),(8463,5),(8464,4),(8465,3),(8466,5),(8467,2),(8468,5),(8469,4),(8470,7),(8471,2),(8472,5),(8473,8),(8474,5),(8475,9),(8476,8),(8477,5),(8478,9),(8479,1),(8480,4),(8481,7),(8482,2),(8483,3),(8484,9),(8485,4),(8486,2),(8487,6),(8488,5),(8489,7),(8490,5),(8491,7),(8492,5),(8493,7),(8494,8),(8495,6),(8496,9),(8497,4),(8498,8),(8499,7),(8500,1),(8501,7),(8502,2),(8503,1),(8504,1),(8505,8),(8506,3),(8507,9),(8508,2),(8509,7),(8510,1),(8511,4),(8512,1),(8513,1),(8514,2),(8515,5),(8516,2),(8517,5),(8518,8),(8519,6),(8520,4),(8521,2),(8522,1),(8523,8),(8524,4),(8525,4),(8526,5),(8527,3),(8528,6),(8529,8),(8530,3),(8531,6),(8532,1),(8533,9),(8534,2),(8535,8),(8536,4),(8537,6),(8538,4),(8539,9),(8540,2),(8541,4),(8542,1),(8543,1),(8544,9),(8545,7),(8546,5),(8547,3),(8548,2),(8549,7),(8550,7),(8551,7),(8552,5),(8553,9),(8554,6),(8555,1),(8556,6),(8557,7),(8558,6),(8559,1),(8560,2),(8561,3),(8562,8),(8563,1),(8564,2),(8565,2),(8566,6),(8567,7),(8568,7),(8569,4),(8570,7),(8571,6),(8572,8),(8573,5),(8574,6),(8575,7),(8576,3),(8577,3),(8578,8),(8579,9),(8580,4),(8581,8),(8582,5),(8583,2),(8584,6),(8585,8),(8586,6),(8587,4),(8588,9),(8589,6),(8590,1),(8591,6),(8592,4),(8593,7),(8594,1),(8595,9),(8596,5),(8597,9),(8598,6),(8599,2),(8600,3),(8601,8),(8602,6),(8603,2),(8604,2),(8605,4),(8606,5),(8607,9),(8608,9),(8609,1),(8610,9),(8611,2),(8612,8),(8613,3),(8614,3),(8615,7),(8616,5),(8617,7),(8618,6),(8619,7),(8620,1),(8621,6),(8622,6),(8623,8),(8624,6),(8625,6),(8626,6),(8627,4),(8628,1),(8629,1),(8630,6),(8631,6),(8632,6),(8633,8),(8634,2),(8635,8),(8636,5),(8637,1),(8638,3),(8639,1),(8640,5),(8641,6),(8642,4),(8643,3),(8644,3),(8645,1),(8646,5),(8647,5),(8648,6),(8649,2),(8650,4),(8651,5),(8652,8),(8653,8),(8654,9),(8655,3),(8656,6),(8657,6),(8658,2),(8659,2),(8660,7),(8661,1),(8662,6),(8663,3),(8664,9),(8665,2),(8666,9),(8667,1),(8668,7),(8669,3),(8670,7),(8671,6),(8672,6),(8673,7),(8674,4),(8675,5),(8676,3),(8677,5),(8678,7),(8679,4),(8680,9),(8681,5),(8682,5),(8683,5),(8684,2),(8685,3),(8686,7),(8687,1),(8688,8),(8689,4),(8690,2),(8691,9),(8692,1),(8693,1),(8694,6),(8695,2),(8696,7),(8697,1),(8698,9),(8699,7),(8700,5),(8701,7),(8702,3),(8703,7),(8704,1),(8705,3),(8706,3),(8707,4),(8708,6),(8709,1),(8710,2),(8711,8),(8712,2),(8713,1),(8714,3),(8715,8),(8716,4),(8717,4),(8718,9),(8719,8),(8720,1),(8721,1),(8722,8),(8723,4),(8724,1),(8725,6),(8726,8),(8727,3),(8728,4),(8729,8),(8730,9),(8731,1),(8732,6),(8733,2),(8734,9),(8735,5),(8736,8),(8737,7),(8738,3),(8739,6),(8740,8),(8741,4),(8742,2),(8743,1),(8744,8),(8745,5),(8746,5),(8747,8),(8748,2),(8749,9),(8750,5),(8751,1),(8752,9),(8753,5),(8754,2),(8755,1),(8756,3),(8757,3),(8758,2),(8759,2),(8760,9),(8761,9),(8762,9),(8763,8),(8764,6),(8765,3),(8766,2),(8767,5),(8768,5),(8769,4),(8770,7),(8771,9),(8772,9),(8773,7),(8774,1),(8775,1),(8776,5),(8777,6),(8778,9),(8779,9),(8780,9),(8781,8),(8782,9),(8783,8),(8784,7),(8785,6),(8786,5),(8787,6),(8788,7),(8789,3),(8790,2),(8791,6),(8792,4),(8793,8),(8794,3),(8795,1),(8796,7),(8797,5),(8798,8),(8799,9),(8800,8),(8801,3),(8802,6),(8803,6),(8804,2),(8805,2),(8806,4),(8807,4),(8808,1),(8809,5),(8810,8),(8811,6),(8812,1),(8813,8),(8814,7),(8815,4),(8816,6),(8817,6),(8818,5),(8819,2),(8820,6),(8821,9),(8822,8),(8823,9),(8824,6),(8825,6),(8826,2),(8827,2),(8828,8),(8829,7),(8830,6),(8831,6),(8832,9),(8833,4),(8834,6),(8835,6),(8836,2),(8837,9),(8838,7),(8839,2),(8840,8),(8841,2),(8842,2),(8843,3),(8844,2),(8845,7),(8846,2),(8847,1),(8848,5),(8849,8),(8850,6),(8851,8),(8852,1),(8853,9),(8854,3),(8855,8),(8856,2),(8857,7),(8858,2),(8859,4),(8860,8),(8861,3),(8862,7),(8863,7),(8864,2),(8865,2),(8866,8),(8867,4),(8868,7),(8869,7),(8870,9),(8871,3),(8872,2),(8873,3),(8874,4),(8875,6),(8876,6),(8877,5),(8878,1),(8879,9),(8880,3),(8881,3),(8882,3),(8883,7),(8884,6),(8885,5),(8886,8),(8887,9),(8888,9),(8889,2),(8890,2),(8891,6),(8892,5),(8893,2),(8894,1),(8895,1),(8896,2),(8897,3),(8898,5),(8899,5),(8900,5),(8901,2),(8902,6),(8903,4),(8904,7),(8905,5),(8906,1),(8907,8),(8908,6),(8909,5),(8910,3),(8911,5),(8912,3),(8913,1),(8914,9),(8915,6),(8916,1),(8917,9),(8918,4),(8919,3),(8920,9),(8921,1),(8922,3),(8923,2),(8924,4),(8925,6),(8926,8),(8927,5),(8928,6),(8929,7),(8930,9),(8931,8),(8932,8),(8933,6),(8934,9),(8935,9),(8936,6),(8937,8),(8938,4),(8939,2),(8940,4),(8941,9),(8942,5),(8943,1),(8944,7),(8945,9),(8946,6),(8947,9),(8948,6),(8949,8),(8950,1),(8951,7),(8952,9),(8953,5),(8954,8),(8955,7),(8956,2),(8957,9),(8958,1),(8959,8),(8960,1),(8961,1),(8962,4),(8963,7),(8964,8),(8965,1),(8966,3),(8967,5),(8968,9),(8969,7),(8970,7),(8971,9),(8972,6),(8973,1),(8974,5),(8975,4),(8976,2),(8977,7),(8978,6),(8979,8),(8980,2),(8981,3),(8982,1),(8983,7),(8984,1),(8985,6),(8986,8),(8987,1),(8988,9),(8989,5),(8990,3),(8991,2),(8992,8),(8993,5),(8994,5),(8995,9),(8996,1),(8997,1),(8998,5),(8999,5),(9000,7),(9001,3),(9002,8),(9003,8),(9004,6),(9005,9),(9006,5),(9007,7),(9008,5),(9009,2),(9010,1),(9011,8),(9012,6),(9013,4),(9014,4),(9015,5),(9016,7),(9017,3),(9018,5),(9019,2),(9020,2),(9021,4),(9022,5),(9023,6),(9024,7),(9025,5),(9026,1),(9027,4),(9028,7),(9029,7),(9030,7),(9031,6),(9032,4),(9033,6),(9034,7),(9035,4),(9036,8),(9037,1),(9038,7),(9039,9),(9040,5),(9041,7),(9042,2),(9043,9),(9044,6),(9045,5),(9046,4),(9047,3),(9048,3),(9049,2),(9050,1),(9051,5),(9052,4),(9053,8),(9054,4),(9055,9),(9056,2),(9057,7),(9058,2),(9059,2),(9060,1),(9061,9),(9062,9),(9063,1),(9064,3),(9065,5),(9066,6),(9067,1),(9068,4),(9069,3),(9070,2),(9071,9),(9072,9),(9073,6),(9074,8),(9075,2),(9076,6),(9077,6),(9078,2),(9079,6),(9080,6),(9081,5),(9082,3),(9083,3),(9084,9),(9085,3),(9086,5),(9087,6),(9088,7),(9089,3),(9090,5),(9091,1),(9092,1),(9093,4),(9094,2),(9095,1),(9096,1),(9097,5),(9098,9),(9099,2),(9100,4),(9101,2),(9102,3),(9103,1),(9104,1),(9105,6),(9106,6),(9107,9),(9108,2),(9109,4),(9110,3),(9111,1),(9112,4),(9113,4),(9114,2),(9115,5),(9116,8),(9117,3),(9118,8),(9119,9),(9120,5),(9121,5),(9122,3),(9123,2),(9124,5),(9125,7),(9126,7),(9127,4),(9128,1),(9129,4),(9130,7),(9131,2),(9132,7),(9133,7),(9134,2),(9135,9),(9136,5),(9137,3),(9138,1),(9139,3),(9140,6),(9141,9),(9142,5),(9143,6),(9144,9),(9145,1),(9146,5),(9147,3),(9148,1),(9149,8),(9150,5),(9151,5),(9152,5),(9153,2),(9154,9),(9155,8),(9156,4),(9157,8),(9158,5),(9159,6),(9160,4),(9161,6),(9162,2),(9163,2),(9164,7),(9165,4),(9166,4),(9167,6),(9168,3),(9169,5),(9170,3),(9171,9),(9172,7),(9173,9),(9174,3),(9175,3),(9176,4),(9177,4),(9178,1),(9179,4),(9180,4),(9181,4),(9182,1),(9183,8),(9184,9),(9185,4),(9186,6),(9187,4),(9188,2),(9189,5),(9190,5),(9191,2),(9192,6),(9193,3),(9194,1),(9195,9),(9196,4),(9197,7),(9198,4),(9199,2),(9200,8),(9201,1),(9202,5),(9203,6),(9204,2),(9205,6),(9206,1),(9207,3),(9208,4),(9209,1),(9210,3),(9211,1),(9212,3),(9213,2),(9214,9),(9215,9),(9216,3),(9217,1),(9218,5),(9219,6),(9220,6),(9221,8),(9222,4),(9223,2),(9224,7),(9225,9),(9226,4),(9227,6),(9228,2),(9229,3),(9230,7),(9231,2),(9232,2),(9233,7),(9234,2),(9235,4),(9236,8),(9237,5),(9238,1),(9239,7),(9240,4),(9241,4),(9242,9),(9243,9),(9244,7),(9245,8),(9246,7),(9247,3),(9248,3),(9249,6),(9250,7),(9251,8),(9252,7),(9253,6),(9254,5),(9255,6),(9256,7),(9257,7),(9258,3),(9259,1),(9260,7),(9261,6),(9262,3),(9263,9),(9264,3),(9265,9),(9266,7),(9267,4),(9268,8),(9269,1),(9270,7),(9271,8),(9272,3),(9273,2),(9274,4),(9275,6),(9276,9),(9277,9),(9278,7),(9279,6),(9280,3),(9281,1),(9282,8),(9283,9),(9284,9),(9285,2),(9286,1),(9287,4),(9288,4),(9289,4),(9290,8),(9291,7),(9292,8),(9293,8),(9294,5),(9295,2),(9296,5),(9297,7),(9298,4),(9299,7),(9300,6),(9301,2),(9302,6),(9303,1),(9304,7),(9305,4),(9306,3),(9307,8),(9308,8),(9309,4),(9310,5),(9311,5),(9312,8),(9313,1),(9314,7),(9315,8),(9316,6),(9317,1),(9318,3),(9319,2),(9320,3),(9321,4),(9322,9),(9323,4),(9324,9),(9325,8),(9326,6),(9327,5),(9328,2),(9329,1),(9330,8),(9331,9),(9332,5),(9333,7),(9334,3),(9335,2),(9336,3),(9337,9),(9338,5),(9339,2),(9340,1),(9341,8),(9342,4),(9343,1),(9344,7),(9345,3),(9346,7),(9347,7),(9348,5),(9349,9),(9350,4),(9351,3),(9352,9),(9353,2),(9354,1),(9355,7),(9356,9),(9357,5),(9358,3),(9359,4),(9360,5),(9361,2),(9362,5),(9363,5),(9364,4),(9365,1),(9366,8),(9367,4),(9368,1),(9369,4),(9370,8),(9371,1),(9372,4),(9373,6),(9374,9),(9375,7),(9376,5),(9377,4),(9378,5),(9379,1),(9380,4),(9381,3),(9382,5),(9383,8),(9384,5),(9385,6),(9386,9),(9387,9),(9388,5),(9389,4),(9390,5),(9391,9),(9392,1),(9393,8),(9394,8),(9395,2),(9396,7),(9397,9),(9398,8),(9399,4),(9400,8),(9401,1),(9402,3),(9403,8),(9404,3),(9405,4),(9406,5),(9407,3),(9408,8),(9409,5),(9410,5),(9411,7),(9412,7),(9413,8),(9414,8),(9415,9),(9416,6),(9417,7),(9418,8),(9419,3),(9420,3),(9421,9),(9422,6),(9423,5),(9424,8),(9425,9),(9426,8),(9427,9),(9428,2),(9429,9),(9430,9),(9431,9),(9432,6),(9433,3),(9434,1),(9435,4),(9436,2),(9437,6),(9438,5),(9439,1),(9440,1),(9441,5),(9442,1),(9443,4),(9444,6),(9445,8),(9446,8),(9447,6),(9448,3),(9449,6),(9450,4),(9451,3),(9452,5),(9453,4),(9454,7),(9455,4),(9456,8),(9457,7),(9458,7),(9459,9),(9460,3),(9461,4),(9462,8),(9463,9),(9464,1),(9465,3),(9466,3),(9467,6),(9468,2),(9469,8),(9470,9),(9471,1),(9472,6),(9473,4),(9474,8),(9475,9),(9476,5),(9477,5),(9478,3),(9479,3),(9480,2),(9481,7),(9482,3),(9483,8),(9484,4),(9485,5),(9486,8),(9487,1),(9488,6),(9489,6),(9490,6),(9491,9),(9492,7),(9493,6),(9494,6),(9495,8),(9496,6),(9497,8),(9498,5),(9499,9),(9500,4),(9501,7),(9502,4),(9503,9),(9504,2),(9505,2),(9506,1),(9507,9),(9508,6),(9509,6),(9510,9),(9511,1),(9512,9),(9513,1),(9514,3),(9515,2),(9516,2),(9517,8),(9518,1),(9519,5),(9520,5),(9521,9),(9522,8),(9523,8),(9524,2),(9525,5),(9526,6),(9527,4),(9528,3),(9529,4),(9530,3),(9531,4),(9532,9),(9533,7),(9534,1),(9535,5),(9536,1),(9537,1),(9538,2),(9539,9),(9540,9),(9541,5),(9542,6),(9543,9),(9544,3),(9545,2),(9546,2),(9547,9),(9548,1),(9549,4),(9550,8),(9551,6),(9552,3),(9553,5),(9554,2),(9555,3),(9556,1),(9557,8),(9558,5),(9559,7),(9560,7),(9561,5),(9562,3),(9563,7),(9564,3),(9565,1),(9566,6),(9567,3),(9568,8),(9569,2),(9570,2),(9571,9),(9572,8),(9573,5),(9574,5),(9575,9),(9576,1),(9577,7),(9578,4),(9579,9),(9580,7),(9581,2),(9582,3),(9583,9),(9584,5),(9585,2),(9586,3),(9587,4),(9588,2),(9589,9),(9590,5),(9591,5),(9592,9),(9593,3),(9594,1),(9595,7),(9596,1),(9597,1),(9598,9),(9599,9),(9600,4),(9601,7),(9602,9),(9603,2),(9604,7),(9605,3),(9606,9),(9607,6),(9608,6),(9609,1),(9610,6),(9611,2),(9612,6),(9613,2),(9614,2),(9615,1),(9616,6),(9617,8),(9618,5),(9619,5),(9620,5),(9621,9),(9622,4),(9623,6),(9624,5),(9625,4),(9626,5),(9627,5),(9628,2),(9629,2),(9630,6),(9631,7),(9632,4),(9633,6),(9634,7),(9635,4),(9636,2),(9637,5),(9638,7),(9639,4),(9640,4),(9641,6),(9642,2),(9643,1),(9644,1),(9645,1),(9646,6),(9647,5),(9648,6),(9649,9),(9650,1),(9651,1),(9652,4),(9653,1),(9654,9),(9655,6),(9656,7),(9657,5),(9658,2),(9659,6),(9660,8),(9661,5),(9662,5),(9663,4),(9664,8),(9665,5),(9666,7),(9667,7),(9668,8),(9669,4),(9670,7),(9671,6),(9672,7),(9673,2),(9674,7),(9675,9),(9676,4),(9677,8),(9678,9),(9679,4),(9680,2),(9681,4),(9682,1),(9683,6),(9684,2),(9685,2),(9686,7),(9687,8),(9688,8),(9689,6),(9690,8),(9691,6),(9692,6),(9693,2),(9694,9),(9695,1),(9696,5),(9697,3),(9698,2),(9699,5),(9700,8),(9701,7),(9702,9),(9703,8),(9704,4),(9705,8),(9706,8),(9707,6),(9708,3),(9709,3),(9710,9),(9711,6),(9712,6),(9713,7),(9714,3),(9715,1),(9716,9),(9717,8),(9718,9),(9719,8),(9720,9),(9721,2),(9722,7),(9723,3),(9724,2),(9725,4),(9726,1),(9727,6),(9728,2),(9729,6),(9730,8),(9731,7),(9732,4),(9733,3),(9734,3),(9735,7),(9736,3),(9737,6),(9738,6),(9739,3),(9740,9),(9741,8),(9742,3),(9743,3),(9744,4),(9745,6),(9746,2),(9747,2),(9748,7),(9749,2),(9750,6),(9751,1),(9752,9),(9753,5),(9754,6),(9755,1),(9756,5),(9757,8),(9758,4),(9759,2),(9760,1),(9761,9),(9762,4),(9763,8),(9764,9),(9765,6),(9766,4),(9767,2),(9768,4),(9769,5),(9770,5),(9771,8),(9772,1),(9773,9),(9774,7),(9775,4),(9776,2),(9777,6),(9778,1),(9779,4),(9780,7),(9781,8),(9782,9),(9783,8),(9784,4),(9785,1),(9786,9),(9787,6),(9788,1),(9789,5),(9790,3),(9791,1),(9792,7),(9793,2),(9794,9),(9795,2),(9796,6),(9797,2),(9798,2),(9799,6),(9800,3),(9801,5),(9802,3),(9803,9),(9804,5),(9805,9),(9806,3),(9807,2),(9808,4),(9809,6),(9810,6),(9811,4),(9812,2),(9813,8),(9814,7),(9815,7),(9816,7),(9817,1),(9818,1),(9819,9),(9820,7),(9821,9),(9822,1),(9823,1),(9824,1),(9825,1),(9826,9),(9827,6),(9828,9),(9829,1),(9830,8),(9831,3),(9832,9),(9833,6),(9834,6),(9835,3),(9836,1),(9837,9),(9838,3),(9839,7),(9840,5),(9841,6),(9842,4),(9843,9),(9844,7),(9845,4),(9846,8),(9847,1),(9848,1),(9849,1),(9850,6),(9851,6),(9852,9),(9853,9),(9854,8),(9855,8),(9856,9),(9857,7),(9858,9),(9859,8),(9860,5),(9861,1),(9862,5),(9863,8),(9864,1),(9865,4),(9866,8),(9867,9),(9868,6),(9869,8),(9870,5),(9871,8),(9872,4),(9873,8),(9874,6),(9875,4),(9876,9),(9877,7),(9878,4),(9879,7),(9880,1),(9881,9),(9882,1),(9883,3),(9884,4),(9885,6),(9886,7),(9887,5),(9888,6),(9889,5),(9890,1),(9891,2),(9892,5),(9893,5),(9894,3),(9895,4),(9896,8),(9897,5),(9898,1),(9899,2),(9900,8),(9901,2),(9902,7),(9903,8),(9904,4),(9905,9),(9906,3),(9907,6),(9908,2),(9909,9),(9910,4),(9911,7),(9912,4),(9913,9),(9914,1),(9915,2),(9916,1),(9917,4),(9918,5),(9919,6),(9920,8),(9921,9),(9922,1),(9923,5),(9924,8),(9925,2),(9926,7),(9927,4),(9928,9),(9929,5),(9930,3),(9931,9),(9932,7),(9933,1),(9934,5),(9935,8),(9936,8),(9937,8),(9938,6),(9939,9),(9940,5),(9941,4),(9942,8),(9943,7),(9944,7),(9945,8),(9946,2),(9947,4),(9948,2),(9949,7),(9950,3),(9951,1),(9952,2),(9953,2),(9954,3),(9955,3),(9956,5),(9957,8),(9958,4),(9959,1),(9960,1),(9961,1),(9962,9),(9963,7),(9964,5),(9965,4),(9966,1),(9967,2),(9968,6),(9969,7),(9970,3),(9971,5),(9972,3),(9973,4),(9974,7),(9975,2),(9976,1),(9977,3),(9978,8),(9979,1),(9980,3),(9981,4),(9982,5),(9983,9),(9984,6),(9985,9),(9986,5),(9987,5),(9988,6),(9989,7),(9990,7),(9991,5),(9992,1),(9993,4),(9994,4),(9995,6),(9996,9),(9997,1),(9998,8),(9999,3),(10000,2),(10001,2),(10002,4),(10003,8),(10004,2),(10005,2),(10006,3),(10007,4),(10008,4),(10009,1),(10010,7),(10011,4),(10012,3),(10013,5),(10014,6),(10015,5),(10016,1),(10017,6),(10018,3),(10019,1),(10020,2),(10021,6),(10022,6),(10023,1),(10024,9),(10025,7),(10026,8),(10027,5),(10028,5),(10029,7),(10030,8),(10031,8),(10032,2),(10033,4),(10034,1),(10035,8),(10036,3),(10037,4),(10038,2),(10039,1),(10040,6),(10041,1),(10042,4),(10043,6),(10044,2),(10045,9),(10046,8),(10047,7),(10048,1),(10049,5),(10050,7),(10051,6),(10052,4),(10053,8),(10054,7),(10055,4),(10056,5),(10057,3),(10058,7),(10059,8),(10060,9),(10061,5),(10062,2),(10063,4),(10064,5),(10065,4),(10066,9),(10067,6),(10068,5),(10069,5),(10070,3),(10071,6),(10072,4),(10073,5),(10074,3),(10075,9),(10076,1),(10077,4),(10078,3),(10079,3),(10080,9),(10081,8),(10082,2),(10083,1),(10084,4),(10085,8),(10086,9),(10087,4),(10088,1),(10089,8),(10090,1),(10091,7),(10092,1),(10093,7),(10094,2),(10095,5),(10096,2),(10097,5),(10098,6),(10099,8),(10100,5),(10101,9),(10102,7),(10103,7),(10104,1),(10105,2),(10106,5),(10107,9),(10108,8),(10109,6),(10110,3),(10111,7),(10112,4),(10113,2),(10114,4),(10115,6),(10116,3),(10117,3),(10118,1),(10119,8),(10120,2),(10121,1),(10122,8),(10123,9),(10124,5),(10125,3),(10126,1),(10127,3),(10128,3),(10129,1),(10130,1),(10131,8),(10132,5),(10133,8),(10134,5),(10135,2),(10136,7),(10137,9),(10138,6),(10139,9),(10140,2),(10141,6),(10142,2),(10143,4),(10144,1),(10145,2),(10146,8),(10147,9),(10148,6),(10149,5),(10150,7),(10151,8),(10152,5),(10153,2),(10154,8),(10155,5),(10156,2),(10157,5),(10158,6),(10159,9),(10160,1),(10161,2),(10162,5),(10163,4),(10164,9),(10165,6),(10166,4),(10167,7),(10168,8),(10169,5),(10170,8),(10171,9),(10172,1),(10173,6),(10174,7),(10175,2),(10176,4),(10177,7),(10178,6),(10179,4),(10180,8),(10181,1),(10182,7),(10183,6),(10184,7),(10185,9),(10186,5),(10187,6),(10188,7),(10189,4),(10190,9),(10191,5),(10192,6),(10193,8),(10194,2),(10195,2),(10196,9),(10197,3),(10198,8),(10199,9),(10200,9),(10201,5),(10202,9),(10203,5),(10204,1),(10205,6),(10206,2),(10207,7),(10208,7),(10209,6),(10210,6),(10211,3),(10212,9),(10213,1),(10214,2),(10215,7),(10216,8),(10217,7),(10218,9),(10219,4),(10220,7),(10221,3),(10222,3),(10223,2),(10224,6),(10225,6),(10226,4),(10227,4),(10228,1),(10229,9),(10230,1),(10231,2),(10232,8),(10233,8),(10234,4),(10235,6),(10236,9),(10237,3),(10238,2),(10239,6),(10240,2),(10241,4),(10242,4),(10243,7),(10244,3),(10245,4),(10246,6),(10247,7),(10248,7),(10249,4),(10250,7),(10251,9),(10252,3),(10253,4),(10254,2),(10255,9),(10256,9),(10257,3),(10258,9),(10259,8),(10260,4),(10261,1),(10262,5),(10263,7),(10264,3),(10265,7),(10266,9),(10267,7),(10268,7),(10269,6),(10270,6),(10271,7),(10272,2),(10273,6),(10274,8),(10275,8),(10276,7),(10277,5),(10278,6),(10279,7),(10280,9),(10281,4),(10282,7),(10283,8),(10284,4),(10285,1),(10286,9),(10287,3),(10288,5),(10289,5),(10290,6),(10291,8),(10292,1),(10293,4),(10294,2),(10295,6),(10296,5),(10297,8),(10298,1),(10299,6),(10300,3),(10301,1),(10302,5),(10303,4),(10304,7),(10305,8),(10306,6),(10307,1),(10308,8),(10309,4),(10310,3),(10311,2),(10312,3),(10313,4),(10314,5),(10315,9),(10316,6),(10317,8),(10318,8),(10319,3),(10320,9),(10321,8),(10322,3),(10323,4),(10324,3),(10325,3),(10326,9),(10327,2),(10328,5),(10329,4),(10330,6),(10331,3),(10332,1),(10333,3),(10334,9),(10335,5),(10336,1),(10337,7),(10338,6),(10339,3),(10340,6),(10341,9),(10342,6),(10343,9),(10344,8),(10345,9),(10346,3),(10347,1),(10348,4),(10349,3),(10350,4),(10351,9),(10352,8),(10353,5),(10354,1),(10355,6),(10356,6),(10357,7),(10358,2),(10359,6),(10360,9),(10361,7),(10362,9),(10363,7),(10364,7),(10365,6),(10366,3),(10367,6),(10368,8),(10369,3),(10370,2),(10371,3),(10372,4),(10373,7),(10374,2),(10375,2),(10376,5),(10377,4),(10378,9),(10379,2),(10380,7),(10381,2),(10382,2),(10383,4),(10384,6),(10385,2),(10386,9),(10387,2),(10388,7),(10389,4),(10390,5),(10391,3),(10392,1),(10393,4),(10394,9),(10395,5),(10396,4),(10397,8),(10398,6),(10399,1),(10400,2),(10401,7),(10402,3),(10403,9),(10404,3),(10405,7),(10406,2),(10407,7),(10408,8),(10409,9),(10410,4),(10411,4),(10412,6),(10413,9),(10414,7),(10415,5),(10416,6),(10417,1),(10418,7),(10419,9),(10420,5),(10421,2),(10422,5),(10423,7),(10424,4),(10425,3),(10426,2),(10427,8),(10428,4),(10429,8),(10430,8),(10431,5),(10432,6),(10433,9),(10434,3),(10435,8),(10436,2),(10437,9),(10438,9),(10439,9),(10440,6),(10441,1),(10442,9),(10443,8),(10444,3),(10445,9),(10446,9),(10447,4),(10448,5),(10449,9),(10450,9),(10451,5),(10452,2),(10453,2),(10454,6),(10455,1),(10456,7),(10457,1),(10458,1),(10459,2),(10460,6),(10461,9),(10462,3),(10463,4),(10464,8),(10465,4),(10466,9),(10467,3),(10468,9),(10469,5),(10470,5),(10471,3),(10472,5),(10473,8),(10474,4),(10475,4),(10476,4),(10477,7),(10478,3),(10479,5),(10480,5),(10481,3),(10482,9),(10483,4),(10484,5),(10485,9),(10486,2),(10487,6),(10488,9),(10489,2),(10490,7),(10491,1),(10492,4),(10493,4),(10494,9),(10495,5),(10496,3),(10497,3),(10498,5),(10499,4),(10500,6),(10501,9),(10502,6),(10503,9),(10504,6),(10505,3),(10506,3),(10507,5),(10508,8),(10509,2),(10510,2),(10511,4),(10512,1),(10513,9),(10514,5),(10515,4),(10516,6),(10517,2),(10518,4),(10519,8),(10520,5),(10521,8),(10522,6),(10523,3),(10524,4),(10525,1),(10526,2),(10527,2),(10528,5),(10529,4),(10530,6),(10531,8),(10532,9),(10533,7),(10534,3),(10535,2),(10536,6),(10537,2),(10538,9),(10539,8),(10540,9),(10541,9),(10542,5),(10543,9),(10544,6),(10545,7),(10546,8),(10547,9),(10548,5),(10549,9),(10550,7),(10551,8),(10552,5),(10553,8),(10554,2),(10555,1),(10556,2),(10557,8),(10558,3),(10559,4),(10560,1),(10561,4),(10562,4),(10563,3),(10564,4),(10565,9),(10566,3),(10567,9),(10568,2),(10569,6),(10570,6),(10571,6),(10572,6),(10573,9),(10574,3),(10575,5),(10576,4),(10577,8),(10578,7),(10579,2),(10580,3),(10581,9),(10582,9),(10583,3),(10584,4),(10585,3),(10586,9),(10587,2),(10588,1),(10589,1),(10590,1),(10591,2),(10592,5),(10593,6),(10594,7),(10595,8),(10596,6),(10597,6),(10598,9),(10599,6),(10600,5),(10601,9),(10602,7),(10603,9),(10604,3),(10605,3),(10606,8),(10607,1),(10608,8),(10609,5),(10610,8),(10611,7),(10612,8),(10613,5),(10614,8),(10615,9),(10616,6),(10617,5),(10618,3),(10619,9),(10620,6),(10621,9),(10622,5),(10623,2),(10624,8),(10625,4),(10626,5),(10627,1),(10628,9),(10629,3),(10630,6),(10631,2),(10632,2),(10633,6),(10634,4),(10635,1),(10636,2),(10637,8),(10638,8),(10639,3),(10640,5),(10641,4),(10642,7),(10643,1),(10644,2),(10645,3),(10646,4),(10647,7),(10648,5),(10649,1),(10650,9),(10651,4),(10652,6),(10653,1),(10654,4),(10655,9),(10656,2),(10657,1),(10658,8),(10659,6),(10660,1),(10661,2),(10662,2),(10663,5),(10664,6),(10665,1),(10666,3),(10667,1),(10668,9),(10669,9),(10670,6),(10671,7),(10672,7),(10673,2),(10674,2),(10675,4),(10676,3),(10677,3),(10678,1),(10679,3),(10680,5),(10681,6),(10682,8),(10683,2),(10684,4),(10685,8),(10686,7),(10687,7),(10688,2),(10689,8),(10690,3),(10691,2),(10692,7),(10693,6),(10694,9),(10695,4),(10696,9),(10697,8),(10698,5),(10699,4),(10700,2),(10701,3),(10702,3),(10703,5),(10704,5),(10705,7),(10706,8),(10707,1),(10708,1),(10709,4),(10710,1),(10711,7),(10712,1),(10713,5),(10714,8),(10715,5),(10716,6),(10717,3),(10718,6),(10719,2),(10720,5),(10721,3),(10722,7),(10723,5),(10724,6),(10725,3),(10726,7),(10727,4),(10728,9),(10729,5),(10730,6),(10731,2),(10732,8),(10733,4),(10734,5),(10735,5),(10736,4),(10737,5),(10738,1),(10739,8),(10740,6),(10741,6),(10742,3),(10743,2),(10744,5),(10745,7),(10746,9),(10747,3),(10748,7),(10749,1),(10750,4),(10751,1),(10752,6),(10753,9),(10754,6),(10755,8),(10756,2),(10757,8),(10758,6),(10759,8),(10760,6),(10761,5),(10762,3),(10763,9),(10764,1),(10765,6),(10766,8),(10767,9),(10768,3),(10769,9),(10770,9),(10771,6),(10772,3),(10773,2),(10774,3),(10775,7),(10776,4),(10777,6),(10778,6),(10779,6),(10780,3),(10781,1),(10782,8),(10783,5),(10784,5),(10785,5),(10786,2),(10787,3),(10788,9),(10789,5),(10790,6),(10791,1),(10792,3),(10793,4),(10794,9),(10795,8),(10796,7),(10797,1),(10798,3),(10799,2),(10800,5),(10801,8),(10802,8),(10803,7),(10804,7),(10805,7),(10806,3),(10807,8),(10808,8),(10809,2),(10810,9),(10811,9),(10812,3),(10813,3),(10814,1),(10815,1),(10816,3),(10817,4),(10818,1),(10819,7),(10820,6),(10821,1),(10822,6),(10823,3),(10824,6),(10825,5),(10826,1),(10827,8),(10828,3),(10829,3),(10830,2),(10831,8),(10832,1),(10833,7),(10834,9),(10835,6),(10836,9),(10837,1),(10838,2),(10839,7),(10840,6),(10841,2),(10842,3),(10843,3),(10844,3),(10845,8),(10846,4),(10847,2),(10848,9),(10849,7),(10850,3),(10851,5),(10852,2),(10853,6),(10854,3),(10855,2),(10856,7),(10857,1),(10858,3),(10859,9),(10860,6),(10861,4),(10862,5),(10863,1),(10864,4),(10865,7),(10866,7),(10867,6),(10868,7),(10869,5),(10870,9),(10871,9),(10872,6),(10873,2),(10874,4),(10875,9),(10876,4),(10877,3),(10878,3),(10879,2),(10880,1),(10881,1),(10882,9),(10883,9),(10884,4),(10885,7),(10886,4),(10887,5),(10888,5),(10889,4),(10890,6),(10891,2),(10892,9),(10893,3),(10894,2),(10895,6),(10896,1),(10897,3),(10898,8),(10899,8),(10900,5),(10901,3),(10902,6),(10903,6),(10904,3),(10905,1),(10906,4),(10907,4),(10908,1),(10909,2),(10910,9),(10911,8),(10912,3),(10913,7),(10914,7),(10915,4),(10916,3),(10917,1),(10918,5),(10919,7),(10920,7),(10921,9),(10922,1),(10923,7),(10924,5),(10925,5),(10926,2),(10927,8),(10928,6),(10929,5),(10930,4),(10931,2),(10932,3),(10933,7),(10934,5),(10935,3),(10936,6),(10937,9),(10938,4),(10939,6),(10940,5),(10941,2),(10942,9),(10943,8),(10944,7),(10945,5),(10946,9),(10947,1),(10948,2),(10949,7),(10950,9),(10951,9),(10952,3),(10953,7),(10954,7),(10955,5),(10956,4),(10957,9),(10958,8),(10959,9),(10960,4),(10961,6),(10962,9),(10963,2),(10964,9),(10965,2),(10966,9),(10967,9),(10968,6),(10969,8),(10970,8),(10971,1),(10972,3),(10973,5),(10974,6),(10975,2),(10976,6),(10977,2),(10978,3),(10979,8),(10980,1),(10981,2),(10982,3),(10983,7),(10984,9),(10985,1),(10986,5),(10987,9),(10988,8),(10989,1),(10990,3),(10991,7),(10992,4),(10993,6),(10994,4),(10995,1),(10996,2),(10997,1),(10998,7),(10999,8),(11000,8),(11001,2),(11002,7),(11003,8),(11004,8),(11005,2),(11006,8),(11007,2),(11008,7),(11009,2),(11010,3),(11011,9),(11012,6),(11013,2),(11014,9),(11015,3),(11016,8),(11017,4),(11018,9),(11019,8),(11020,9),(11021,6),(11022,4),(11023,8),(11024,2),(11025,3),(11026,4),(11027,4),(11028,3),(11029,4),(11030,8),(11031,3),(11032,2),(11033,9),(11034,3),(11035,5),(11036,8),(11037,6),(11038,9),(11039,6),(11040,3),(11041,5),(11042,9),(11043,3),(11044,8),(11045,9),(11046,5),(11047,7),(11048,8),(11049,2),(11050,1),(11051,8),(11052,3),(11053,5),(11054,5),(11055,1),(11056,1),(11057,7),(11058,2),(11059,5),(11060,4),(11061,7),(11062,5),(11063,6),(11064,5),(11065,6),(11066,8),(11067,7),(11068,8),(11069,3),(11070,5),(11071,7),(11072,5),(11073,7),(11074,3),(11075,1),(11076,1),(11077,5),(11078,6),(11079,7),(11080,4),(11081,1),(11082,4),(11083,1),(11084,1),(11085,3),(11086,7),(11087,8),(11088,4),(11089,2),(11090,3),(11091,5),(11092,5),(11093,2),(11094,7),(11095,5),(11096,5),(11097,3),(11098,7),(11099,1),(11100,4),(11101,6),(11102,7),(11103,7),(11104,5),(11105,2),(11106,6),(11107,1),(11108,7),(11109,3),(11110,1),(11111,3),(11112,2),(11113,6),(11114,9),(11115,1),(11116,2),(11117,5),(11118,8),(11119,1),(11120,2),(11121,6),(11122,3),(11123,5),(11124,6),(11125,8),(11126,4),(11127,1),(11128,7),(11129,4),(11130,6),(11131,6),(11132,3),(11133,9),(11134,5),(11135,3),(11136,8),(11137,3),(11138,2),(11139,2),(11140,5),(11141,9),(11142,8),(11143,3),(11144,7),(11145,1),(11146,4),(11147,7),(11148,7),(11149,2),(11150,1),(11151,2),(11152,5),(11153,4),(11154,9),(11155,4),(11156,3),(11157,9),(11158,5),(11159,8),(11160,4),(11161,9),(11162,5),(11163,6),(11164,9),(11165,9),(11166,4),(11167,7),(11168,4),(11169,5),(11170,2),(11171,1),(11172,7),(11173,7),(11174,7),(11175,9),(11176,6),(11177,7),(11178,2),(11179,8),(11180,4),(11181,6),(11182,2),(11183,1),(11184,9),(11185,6),(11186,6),(11187,4),(11188,6),(11189,1),(11190,1),(11191,2),(11192,1),(11193,4),(11194,9),(11195,1),(11196,2),(11197,2),(11198,3),(11199,3),(11200,5),(11201,6),(11202,5),(11203,9),(11204,2),(11205,7),(11206,3),(11207,9),(11208,1),(11209,3),(11210,8),(11211,7),(11212,9),(11213,5),(11214,8),(11215,1),(11216,5),(11217,1),(11218,4),(11219,2),(11220,2),(11221,5),(11222,7),(11223,4),(11224,7),(11225,2),(11226,1),(11227,4),(11228,1),(11229,8),(11230,1),(11231,6),(11232,5),(11233,7),(11234,9),(11235,7),(11236,9),(11237,4),(11238,5),(11239,4),(11240,3),(11241,4),(11242,4),(11243,6),(11244,4),(11245,4),(11246,4),(11247,7),(11248,6),(11249,2),(11250,4),(11251,7),(11252,5),(11253,1),(11254,7),(11255,6),(11256,8),(11257,3),(11258,6),(11259,5),(11260,9),(11261,7),(11262,7),(11263,3),(11264,1),(11265,7),(11266,6),(11267,6),(11268,3),(11269,4),(11270,8),(11271,1),(11272,7),(11273,4),(11274,7),(11275,3),(11276,1),(11277,3),(11278,1),(11279,8),(11280,8),(11281,6),(11282,7),(11283,3),(11284,7),(11285,6),(11286,6),(11287,3),(11288,8),(11289,2),(11290,2),(11291,8),(11292,8),(11293,7),(11294,9),(11295,5),(11296,1),(11297,9),(11298,8),(11299,1),(11300,6),(11301,4),(11302,8),(11303,1),(11304,8),(11305,9),(11306,9),(11307,7),(11308,3),(11309,3),(11310,6),(11311,5),(11312,4),(11313,2),(11314,6),(11315,4),(11316,2),(11317,1),(11318,5),(11319,7),(11320,9),(11321,1),(11322,8),(11323,6),(11324,2),(11325,9),(11326,2),(11327,3),(11328,3),(11329,1),(11330,4),(11331,6),(11332,1),(11333,9),(11334,7),(11335,5),(11336,8),(11337,2),(11338,9),(11339,5),(11340,7),(11341,4),(11342,7),(11343,2),(11344,1),(11345,5),(11346,4),(11347,7),(11348,1),(11349,1),(11350,5),(11351,2),(11352,2),(11353,7),(11354,3),(11355,9),(11356,6),(11357,4),(11358,9),(11359,8),(11360,8),(11361,1),(11362,6),(11363,8),(11364,9),(11365,5),(11366,1),(11367,8),(11368,6),(11369,1),(11370,5),(11371,1),(11372,3),(11373,9),(11374,9),(11375,6),(11376,3),(11377,3),(11378,5),(11379,4),(11380,1),(11381,2),(11382,7),(11383,9),(11384,8),(11385,8),(11386,7),(11387,3),(11388,8),(11389,5),(11390,5),(11391,3),(11392,2),(11393,4),(11394,7),(11395,2),(11396,7),(11397,6),(11398,6),(11399,9),(11400,1),(11401,5),(11402,8),(11403,1),(11404,2),(11405,9),(11406,6),(11407,1),(11408,1),(11409,8),(11410,2),(11411,4),(11412,9),(11413,3),(11414,4),(11415,1),(11416,1),(11417,4),(11418,6),(11419,3),(11420,7),(11421,3),(11422,5),(11423,7),(11424,4),(11425,2),(11426,3),(11427,2),(11428,3),(11429,7),(11430,9),(11431,4),(11432,5),(11433,8),(11434,5),(11435,1),(11436,4),(11437,8),(11438,7),(11439,6),(11440,9),(11441,4),(11442,6),(11443,2),(11444,5),(11445,6),(11446,5),(11447,2),(11448,3),(11449,6),(11450,1),(11451,8),(11452,5),(11453,3),(11454,6),(11455,8),(11456,5),(11457,2),(11458,2),(11459,7),(11460,7),(11461,8),(11462,6),(11463,3),(11464,9),(11465,1),(11466,3),(11467,2),(11468,7),(11469,7),(11470,5),(11471,9),(11472,4),(11473,9),(11474,7),(11475,9),(11476,2),(11477,9),(11478,1),(11479,7),(11480,9),(11481,2),(11482,6),(11483,2),(11484,6),(11485,4),(11486,4),(11487,1),(11488,9),(11489,9),(11490,6),(11491,2),(11492,4),(11493,5),(11494,5),(11495,1),(11496,3),(11497,2),(11498,9),(11499,5),(11500,5),(11501,9),(11502,9),(11503,4),(11504,9),(11505,1),(11506,8),(11507,3),(11508,5),(11509,4),(11510,4),(11511,2),(11512,1),(11513,8),(11514,7),(11515,5),(11516,5),(11517,2),(11518,7),(11519,6),(11520,8),(11521,1),(11522,9),(11523,8),(11524,4),(11525,8),(11526,1),(11527,6),(11528,1),(11529,4),(11530,8),(11531,1),(11532,6),(11533,9),(11534,6),(11535,1),(11536,4),(11537,3),(11538,3),(11539,3),(11540,5),(11541,4),(11542,5),(11543,6),(11544,9),(11545,3),(11546,4),(11547,8),(11548,7),(11549,1),(11550,8),(11551,5),(11552,4),(11553,3),(11554,9),(11555,6),(11556,4),(11557,6),(11558,6),(11559,4),(11560,2),(11561,5),(11562,5),(11563,7),(11564,3),(11565,7),(11566,5),(11567,3),(11568,3),(11569,7),(11570,7),(11571,6),(11572,5),(11573,1),(11574,6),(11575,6),(11576,2),(11577,3),(11578,8),(11579,4),(11580,5),(11581,6),(11582,7),(11583,3),(11584,6),(11585,9),(11586,1),(11587,2),(11588,5),(11589,4),(11590,8),(11591,6),(11592,5),(11593,2),(11594,1),(11595,6),(11596,9),(11597,3),(11598,7),(11599,6),(11600,2),(11601,5),(11602,2),(11603,3),(11604,2),(11605,7),(11606,8),(11607,7),(11608,5),(11609,3),(11610,4),(11611,9),(11612,4),(11613,2),(11614,7),(11615,7),(11616,1),(11617,6),(11618,5),(11619,2),(11620,8),(11621,3),(11622,1),(11623,6),(11624,4),(11625,6),(11626,3),(11627,1),(11628,1),(11629,3),(11630,7),(11631,7),(11632,3),(11633,5),(11634,7),(11635,9),(11636,8),(11637,4),(11638,8),(11639,2),(11640,4),(11641,9),(11642,1),(11643,5),(11644,8),(11645,9),(11646,2),(11647,7),(11648,2),(11649,9),(11650,7),(11651,9),(11652,9),(11653,6),(11654,6),(11655,3),(11656,2),(11657,4),(11658,4),(11659,4),(11660,7),(11661,8),(11662,3),(11663,3),(11664,1),(11665,7),(11666,8),(11667,9),(11668,6),(11669,7),(11670,2),(11671,8),(11672,6),(11673,9),(11674,8),(11675,9),(11676,1),(11677,6),(11678,1),(11679,6),(11680,3),(11681,7),(11682,7),(11683,3),(11684,4),(11685,2),(11686,6),(11687,7),(11688,3),(11689,9),(11690,6),(11691,7),(11692,2),(11693,6),(11694,4),(11695,2),(11696,2),(11697,5),(11698,6),(11699,4),(11700,5),(11701,8),(11702,8),(11703,4),(11704,5),(11705,2),(11706,9),(11707,6),(11708,8),(11709,1),(11710,3),(11711,5),(11712,8),(11713,2),(11714,3),(11715,5),(11716,6),(11717,4),(11718,6),(11719,2),(11720,9),(11721,7),(11722,8),(11723,5),(11724,1),(11725,3),(11726,7),(11727,4),(11728,3),(11729,7),(11730,5),(11731,3),(11732,4),(11733,5),(11734,6),(11735,5),(11736,6),(11737,5),(11738,3),(11739,3),(11740,7),(11741,7),(11742,4),(11743,8),(11744,5),(11745,5),(11746,6),(11747,6),(11748,1),(11749,9),(11750,3),(11751,3),(11752,3),(11753,9),(11754,5),(11755,2),(11756,6),(11757,8),(11758,6),(11759,1),(11760,7),(11761,2),(11762,3),(11763,3),(11764,1),(11765,8),(11766,6),(11767,4),(11768,8),(11769,7),(11770,6),(11771,3),(11772,6),(11773,2),(11774,8),(11775,9),(11776,1),(11777,7),(11778,1),(11779,5),(11780,6),(11781,5),(11782,6),(11783,7),(11784,3),(11785,2),(11786,8),(11787,3),(11788,2),(11789,4),(11790,8),(11791,6),(11792,9),(11793,8),(11794,1),(11795,5),(11796,2),(11797,7),(11798,7),(11799,9),(11800,1),(11801,7),(11802,8),(11803,9),(11804,6),(11805,5),(11806,3),(11807,6),(11808,7),(11809,2),(11810,2),(11811,6),(11812,2),(11813,8),(11814,9),(11815,3),(11816,5),(11817,9),(11818,2),(11819,5),(11820,9),(11821,6),(11822,6),(11823,3),(11824,2),(11825,7),(11826,2),(11827,7),(11828,5),(11829,4),(11830,4),(11831,9),(11832,4),(11833,2),(11834,3),(11835,5),(11836,8),(11837,6),(11838,5),(11839,1),(11840,3),(11841,4),(11842,6),(11843,5),(11844,2),(11845,4),(11846,6),(11847,3),(11848,4),(11849,8),(11850,2),(11851,1),(11852,2),(11853,9),(11854,5),(11855,2),(11856,7),(11857,6),(11858,7),(11859,2),(11860,9),(11861,7),(11862,6),(11863,1),(11864,1),(11865,9),(11866,2),(11867,3),(11868,7),(11869,9),(11870,3),(11871,4),(11872,1),(11873,4),(11874,6),(11875,2),(11876,5),(11877,3),(11878,1),(11879,6),(11880,6),(11881,9),(11882,6),(11883,5),(11884,1),(11885,9),(11886,1),(11887,2),(11888,6),(11889,7),(11890,2),(11891,4),(11892,4),(11893,4),(11894,2),(11895,1),(11896,5),(11897,2),(11898,9),(11899,7),(11900,5),(11901,6),(11902,4),(11903,2),(11904,1),(11905,2),(11906,9),(11907,9),(11908,6),(11909,7),(11910,9),(11911,9),(11912,5),(11913,3),(11914,9),(11915,5),(11916,6),(11917,2),(11918,1),(11919,4),(11920,7),(11921,3),(11922,7),(11923,1),(11924,7),(11925,1),(11926,6),(11927,5),(11928,2),(11929,3),(11930,7),(11931,5),(11932,3),(11933,3),(11934,2),(11935,7),(11936,8),(11937,8),(11938,8),(11939,5),(11940,1),(11941,6),(11942,3),(11943,1),(11944,8),(11945,9),(11946,5),(11947,7),(11948,7),(11949,7),(11950,4),(11951,1),(11952,7),(11953,7),(11954,2),(11955,7),(11956,3),(11957,5),(11958,6),(11959,7),(11960,6),(11961,1),(11962,5),(11963,3),(11964,1),(11965,2),(11966,7),(11967,3),(11968,4),(11969,5),(11970,3),(11971,8),(11972,7),(11973,1),(11974,7),(11975,7),(11976,6),(11977,5),(11978,1),(11979,5),(11980,7),(11981,2),(11982,8),(11983,4),(11984,9),(11985,4),(11986,6),(11987,2),(11988,1),(11989,9),(11990,9),(11991,1),(11992,1),(11993,6),(11994,6),(11995,6),(11996,8),(11997,4),(11998,4),(11999,2),(12000,4),(12001,9),(12002,6),(12003,4),(12004,7),(12005,9),(12006,5),(12007,1),(12008,5),(12009,6),(12010,1),(12011,4),(12012,6),(12013,3),(12014,9),(12015,6),(12016,2),(12017,7),(12018,6),(12019,8),(12020,2),(12021,4),(12022,7),(12023,6),(12024,4),(12025,5),(12026,6),(12027,9),(12028,2),(12029,8),(12030,6),(12031,8),(12032,5),(12033,7),(12034,4),(12035,4),(12036,1),(12037,7),(12038,4),(12039,8),(12040,2),(12041,1),(12042,5),(12043,2),(12044,5),(12045,9),(12046,8),(12047,6),(12048,3),(12049,6),(12050,2),(12051,9),(12052,3),(12053,5),(12054,5),(12055,9),(12056,4),(12057,5),(12058,5),(12059,5),(12060,5),(12061,8),(12062,4),(12063,1),(12064,8),(12065,4),(12066,5),(12067,5),(12068,8),(12069,9),(12070,5),(12071,7),(12072,6),(12073,1),(12074,7),(12075,4),(12076,6),(12077,5),(12078,5),(12079,6),(12080,5),(12081,8),(12082,3),(12083,8),(12084,3),(12085,7),(12086,1),(12087,2),(12088,4),(12089,9),(12090,6),(12091,8),(12092,1),(12093,2),(12094,3),(12095,1),(12096,2),(12097,2),(12098,8),(12099,6),(12100,2),(12101,2),(12102,9),(12103,9),(12104,4),(12105,7),(12106,8),(12107,5),(12108,3),(12109,8),(12110,3),(12111,6),(12112,9),(12113,2),(12114,1),(12115,9),(12116,7),(12117,7),(12118,5),(12119,3),(12120,5),(12121,6),(12122,8),(12123,7),(12124,5),(12125,5),(12126,4),(12127,6),(12128,3),(12129,6),(12130,2),(12131,2),(12132,7),(12133,4),(12134,9),(12135,7),(12136,9),(12137,1),(12138,9),(12139,7),(12140,9),(12141,1),(12142,3),(12143,9),(12144,4),(12145,8),(12146,6),(12147,4),(12148,3),(12149,6),(12150,3),(12151,4),(12152,1),(12153,5),(12154,2),(12155,4),(12156,3),(12157,1),(12158,7),(12159,9),(12160,1),(12161,1),(12162,4),(12163,6),(12164,3),(12165,2),(12166,1),(12167,9),(12168,2),(12169,5),(12170,1),(12171,6),(12172,4),(12173,6),(12174,2),(12175,1),(12176,7),(12177,2),(12178,3),(12179,4),(12180,6),(12181,8),(12182,8),(12183,5),(12184,3),(12185,3),(12186,5),(12187,7),(12188,8),(12189,8),(12190,2),(12191,3),(12192,5),(12193,5),(12194,4),(12195,4),(12196,8),(12197,2),(12198,8),(12199,7),(12200,2),(12201,9),(12202,4),(12203,1),(12204,4),(12205,9),(12206,9),(12207,4),(12208,1),(12209,8),(12210,6),(12211,5),(12212,4),(12213,1),(12214,5),(12215,1),(12216,3),(12217,3),(12218,7),(12219,1),(12220,6),(12221,6),(12222,2),(12223,2),(12224,6),(12225,8),(12226,9),(12227,3),(12228,9),(12229,6),(12230,8),(12231,9),(12232,1),(12233,1),(12234,1),(12235,2),(12236,2),(12237,1),(12238,3),(12239,4),(12240,3),(12241,8),(12242,1),(12243,2),(12244,3),(12245,6),(12246,5),(12247,3),(12248,8),(12249,5),(12250,9),(12251,5),(12252,3),(12253,8),(12254,2),(12255,3),(12256,9),(12257,3),(12258,3),(12259,8),(12260,6),(12261,6),(12262,8),(12263,1),(12264,7),(12265,3),(12266,6),(12267,1),(12268,7),(12269,1),(12270,7),(12271,2),(12272,2),(12273,9),(12274,5),(12275,8),(12276,8),(12277,4),(12278,5),(12279,5),(12280,2),(12281,2),(12282,6),(12283,4),(12284,8),(12285,7),(12286,8),(12287,5),(12288,8),(12289,8),(12290,3),(12291,7),(12292,6),(12293,2),(12294,3),(12295,4),(12296,2),(12297,9),(12298,2),(12299,5),(12300,5),(12301,6),(12302,7),(12303,9),(12304,3),(12305,6),(12306,8),(12307,6),(12308,3),(12309,5),(12310,6),(12311,1),(12312,1),(12313,7),(12314,3),(12315,8),(12316,4),(12317,6),(12318,5),(12319,2),(12320,3),(12321,9),(12322,1),(12323,1),(12324,4),(12325,9),(12326,8),(12327,4),(12328,3),(12329,2),(12330,8),(12331,1),(12332,7),(12333,2),(12334,9),(12335,3),(12336,6),(12337,9),(12338,9),(12339,3),(12340,7),(12341,6),(12342,6),(12343,3),(12344,6),(12345,7),(12346,3),(12347,2),(12348,8),(12349,4),(12350,6),(12351,4),(12352,1),(12353,2),(12354,9),(12355,4),(12356,5),(12357,5),(12358,9),(12359,3),(12360,9),(12361,7),(12362,3),(12363,5),(12364,7),(12365,2),(12366,3),(12367,9),(12368,2),(12369,8),(12370,2),(12371,7),(12372,5),(12373,9),(12374,4),(12375,7),(12376,1),(12377,1),(12378,2),(12379,7),(12380,8),(12381,6),(12382,7),(12383,4),(12384,7),(12385,6),(12386,1),(12387,1),(12388,4),(12389,5),(12390,3),(12391,3),(12392,2),(12393,3),(12394,6),(12395,2),(12396,2),(12397,5),(12398,3),(12399,9),(12400,5),(12401,5),(12402,2),(12403,8),(12404,2),(12405,8),(12406,1),(12407,7),(12408,9),(12409,8),(12410,9),(12411,5),(12412,7),(12413,4),(12414,5),(12415,6),(12416,2),(12417,9),(12418,5),(12419,2),(12420,4),(12421,8),(12422,1),(12423,2),(12424,6),(12425,4),(12426,1),(12427,6),(12428,8),(12429,7),(12430,8),(12431,2),(12432,2),(12433,8),(12434,6),(12435,4),(12436,1),(12437,3),(12438,4),(12439,5),(12440,2),(12441,5),(12442,8),(12443,5),(12444,2),(12445,3),(12446,1),(12447,9),(12448,2),(12449,5),(12450,5),(12451,6),(12452,1),(12453,4),(12454,7),(12455,2),(12456,6),(12457,9),(12458,1),(12459,9),(12460,5),(12461,1),(12462,3),(12463,5),(12464,4),(12465,3),(12466,6),(12467,2),(12468,3),(12469,2),(12470,2),(12471,4),(12472,9),(12473,3),(12474,7),(12475,6),(12476,8),(12477,2),(12478,7),(12479,9),(12480,6),(12481,6),(12482,3),(12483,4),(12484,9),(12485,7),(12486,5),(12487,8),(12488,2),(12489,4),(12490,3),(12491,5),(12492,5),(12493,7),(12494,1),(12495,1),(12496,3),(12497,3),(12498,8),(12499,6),(12500,5),(12501,9),(12502,5),(12503,7),(12504,2),(12505,4),(12506,5),(12507,5),(12508,2),(12509,8),(12510,8),(12511,6),(12512,9),(12513,6),(12514,7),(12515,9),(12516,2),(12517,2),(12518,5),(12519,3),(12520,1),(12521,6),(12522,3),(12523,6),(12524,6),(12525,5),(12526,2),(12527,7),(12528,5),(12529,2),(12530,6),(12531,4),(12532,7),(12533,6),(12534,4),(12535,9),(12536,4),(12537,9),(12538,3),(12539,7),(12540,3),(12541,6),(12542,2),(12543,3),(12544,9),(12545,2),(12546,8),(12547,1),(12548,9),(12549,5),(12550,3),(12551,2),(12552,8),(12553,2),(12554,7),(12555,5),(12556,6),(12557,6),(12558,5),(12559,9),(12560,6),(12561,3),(12562,1),(12563,1),(12564,7),(12565,8),(12566,5),(12567,4),(12568,2),(12569,8),(12570,5),(12571,7),(12572,3),(12573,6),(12574,3),(12575,1),(12576,5),(12577,3),(12578,4),(12579,3),(12580,8),(12581,8),(12582,3),(12583,9),(12584,4),(12585,4),(12586,7),(12587,3),(12588,4),(12589,4),(12590,6),(12591,9),(12592,3),(12593,2),(12594,8),(12595,9),(12596,9),(12597,3),(12598,9),(12599,4),(12600,1),(12601,7),(12602,2),(12603,5),(12604,9),(12605,7),(12606,7),(12607,1),(12608,8),(12609,9),(12610,5),(12611,4),(12612,1),(12613,7),(12614,5),(12615,2),(12616,4),(12617,9),(12618,9),(12619,8),(12620,3),(12621,4),(12622,6),(12623,8),(12624,6),(12625,5),(12626,3),(12627,3),(12628,9),(12629,6),(12630,1),(12631,2),(12632,2),(12633,3),(12634,3),(12635,3),(12636,8),(12637,7),(12638,7),(12639,2),(12640,8),(12641,1),(12642,2),(12643,3),(12644,5),(12645,5),(12646,8),(12647,2),(12648,2),(12649,8),(12650,5),(12651,9),(12652,3),(12653,9),(12654,9),(12655,2),(12656,3),(12657,5),(12658,2),(12659,1),(12660,6),(12661,6),(12662,3),(12663,8),(12664,6),(12665,1),(12666,6),(12667,5),(12668,6),(12669,3),(12670,3),(12671,6),(12672,2),(12673,2),(12674,1),(12675,5),(12676,2),(12677,5),(12678,7),(12679,6),(12680,9),(12681,5),(12682,2),(12683,6),(12684,8),(12685,4),(12686,7),(12687,4),(12688,2),(12689,1),(12690,9),(12691,2),(12692,2),(12693,3),(12694,7),(12695,4),(12696,2),(12697,9),(12698,4),(12699,1),(12700,4),(12701,3),(12702,4),(12703,5),(12704,8),(12705,1),(12706,4),(12707,3),(12708,1),(12709,3),(12710,4),(12711,6),(12712,1),(12713,5),(12714,8),(12715,7),(12716,7),(12717,7),(12718,4),(12719,9),(12720,8),(12721,5),(12722,9),(12723,8),(12724,2),(12725,4),(12726,5),(12727,9),(12728,6),(12729,5),(12730,4),(12731,4),(12732,2),(12733,8),(12734,3),(12735,3),(12736,9),(12737,4),(12738,6),(12739,2),(12740,6),(12741,5),(12742,3),(12743,5),(12744,7),(12745,7),(12746,4),(12747,3),(12748,4),(12749,5),(12750,9),(12751,1),(12752,5),(12753,1),(12754,5),(12755,7),(12756,2),(12757,3),(12758,2),(12759,4),(12760,1),(12761,8),(12762,5),(12763,8),(12764,4),(12765,7),(12766,5),(12767,5),(12768,2),(12769,2),(12770,4),(12771,5),(12772,8),(12773,3),(12774,3),(12775,8),(12776,7),(12777,2),(12778,9),(12779,5),(12780,2),(12781,8),(12782,2),(12783,3),(12784,3),(12785,9),(12786,1),(12787,6),(12788,5),(12789,4),(12790,2),(12791,1),(12792,2),(12793,1),(12794,6),(12795,2),(12796,2),(12797,6),(12798,5),(12799,9),(12800,7),(12801,1),(12802,6),(12803,5),(12804,6),(12805,1),(12806,1),(12807,6),(12808,5),(12809,6),(12810,8),(12811,9),(12812,1),(12813,4),(12814,4),(12815,3),(12816,8),(12817,4),(12818,6),(12819,8),(12820,3),(12821,7),(12822,4),(12823,6),(12824,2),(12825,7),(12826,4),(12827,9),(12828,3),(12829,1),(12830,5),(12831,7),(12832,2),(12833,3),(12834,8),(12835,3),(12836,5),(12837,1),(12838,7),(12839,9),(12840,3),(12841,7),(12842,1),(12843,4),(12844,3),(12845,6),(12846,1),(12847,3),(12848,7),(12849,8),(12850,4),(12851,6),(12852,6),(12853,7),(12854,4),(12855,6),(12856,8),(12857,8),(12858,2),(12859,9),(12860,6),(12861,3),(12862,3),(12863,4),(12864,4),(12865,4),(12866,3),(12867,3),(12868,8),(12869,2),(12870,1),(12871,9),(12872,8),(12873,5),(12874,9),(12875,5),(12876,4),(12877,2),(12878,8),(12879,6),(12880,8),(12881,2),(12882,3),(12883,4),(12884,1),(12885,2),(12886,9),(12887,4),(12888,3),(12889,1),(12890,5),(12891,6),(12892,6),(12893,2),(12894,6),(12895,2),(12896,6),(12897,6),(12898,9),(12899,9),(12900,5),(12901,3),(12902,8),(12903,9),(12904,7),(12905,4),(12906,6),(12907,2),(12908,4),(12909,5),(12910,3),(12911,5),(12912,6),(12913,5),(12914,4),(12915,9),(12916,3),(12917,6),(12918,6),(12919,8),(12920,9),(12921,7),(12922,1),(12923,1),(12924,3),(12925,9),(12926,8),(12927,7),(12928,9),(12929,5),(12930,1),(12931,2),(12932,1),(12933,5),(12934,6),(12935,8),(12936,4),(12937,4),(12938,1),(12939,5),(12940,3),(12941,2),(12942,9),(12943,9),(12944,6),(12945,2),(12946,6),(12947,8),(12948,2),(12949,9),(12950,1),(12951,1),(12952,3),(12953,4),(12954,2),(12955,8),(12956,6),(12957,1),(12958,6),(12959,5),(12960,7),(12961,2),(12962,9),(12963,8),(12964,5),(12965,5),(12966,3),(12967,8),(12968,5),(12969,9),(12970,1),(12971,3),(12972,6),(12973,4),(12974,7),(12975,9),(12976,8),(12977,5),(12978,4),(12979,1),(12980,1),(12981,7),(12982,6),(12983,2),(12984,2),(12985,5),(12986,1),(12987,2),(12988,1),(12989,4),(12990,7),(12991,6),(12992,7),(12993,9),(12994,5),(12995,8),(12996,9),(12997,4),(12998,5),(12999,6),(13000,6),(13001,9),(13002,8),(13003,3),(13004,1),(13005,9),(13006,9),(13007,1),(13008,3),(13009,7),(13010,8),(13011,9),(13012,6),(13013,7),(13014,8),(13015,1),(13016,4),(13017,9),(13018,9),(13019,8),(13020,7),(13021,4),(13022,2),(13023,3),(13024,6),(13025,8),(13026,1),(13027,7),(13028,5),(13029,1),(13030,3),(13031,8),(13032,4),(13033,9),(13034,1),(13035,5),(13036,5),(13037,9),(13038,4),(13039,3),(13040,3),(13041,3),(13042,7),(13043,4),(13044,5),(13045,9),(13046,1),(13047,4),(13048,6),(13049,7),(13050,6),(13051,5),(13052,8),(13053,6),(13054,5),(13055,6),(13056,7),(13057,8),(13058,3),(13059,3),(13060,8),(13061,3),(13062,5),(13063,5),(13064,5),(13065,4),(13066,3),(13067,2),(13068,4),(13069,5),(13070,5),(13071,1),(13072,2),(13073,1),(13074,6),(13075,3),(13076,2),(13077,9),(13078,7),(13079,9),(13080,3),(13081,5),(13082,2),(13083,4),(13084,6),(13085,7),(13086,3),(13087,4),(13088,5),(13089,4),(13090,3),(13091,2),(13092,7),(13093,7),(13094,4),(13095,5),(13096,7),(13097,8),(13098,3),(13099,4),(13100,5),(13101,7),(13102,3),(13103,4),(13104,9),(13105,7),(13106,2),(13107,9),(13108,9),(13109,5),(13110,1),(13111,3),(13112,7),(13113,2),(13114,5),(13115,2),(13116,1),(13117,4),(13118,1),(13119,7),(13120,8),(13121,6),(13122,3),(13123,5),(13124,2),(13125,9),(13126,8),(13127,6),(13128,1),(13129,8),(13130,1),(13131,8),(13132,9),(13133,5),(13134,9),(13135,5),(13136,4),(13137,2),(13138,6),(13139,7),(13140,9),(13141,4),(13142,9),(13143,7),(13144,7),(13145,9),(13146,6),(13147,7),(13148,3),(13149,9),(13150,8),(13151,2),(13152,8),(13153,5),(13154,2),(13155,7),(13156,1),(13157,1),(13158,8),(13159,6),(13160,4),(13161,8),(13162,8),(13163,5),(13164,1),(13165,4),(13166,2),(13167,2),(13168,1),(13169,1),(13170,4),(13171,1),(13172,9),(13173,8),(13174,8),(13175,8),(13176,1),(13177,5),(13178,1),(13179,7),(13180,9),(13181,1),(13182,7),(13183,6),(13184,5),(13185,9),(13186,1),(13187,6),(13188,8),(13189,2),(13190,2),(13191,7),(13192,1),(13193,4),(13194,2),(13195,5),(13196,3),(13197,2),(13198,4),(13199,8),(13200,4),(13201,9),(13202,7),(13203,9),(13204,8),(13205,1),(13206,7),(13207,3),(13208,5),(13209,7),(13210,2),(13211,1),(13212,1),(13213,3),(13214,7),(13215,8),(13216,5),(13217,5),(13218,7),(13219,6),(13220,9),(13221,9),(13222,5),(13223,5),(13224,9),(13225,8),(13226,3),(13227,1),(13228,3),(13229,2),(13230,7),(13231,8),(13232,3),(13233,5),(13234,4),(13235,6),(13236,8),(13237,4),(13238,5),(13239,6),(13240,7),(13241,1),(13242,6),(13243,7),(13244,1),(13245,5),(13246,9),(13247,8),(13248,3),(13249,3),(13250,8),(13251,5),(13252,3),(13253,7),(13254,7),(13255,8),(13256,7),(13257,6),(13258,8),(13259,5),(13260,1),(13261,7),(13262,7),(13263,4),(13264,6),(13265,8),(13266,4),(13267,8),(13268,6),(13269,9),(13270,7),(13271,3),(13272,4),(13273,9),(13274,9),(13275,1),(13276,4),(13277,2),(13278,7),(13279,9),(13280,5),(13281,6),(13282,6),(13283,1),(13284,1),(13285,8),(13286,6),(13287,6),(13288,1),(13289,2),(13290,5),(13291,5),(13292,4),(13293,7),(13294,1),(13295,3),(13296,2),(13297,4),(13298,5),(13299,3),(13300,8),(13301,1),(13302,5),(13303,8),(13304,8),(13305,5),(13306,6),(13307,6),(13308,6),(13309,6),(13310,5),(13311,5),(13312,9),(13313,8),(13314,5),(13315,5),(13316,6),(13317,5),(13318,1),(13319,3),(13320,3),(13321,6),(13322,6),(13323,2),(13324,8),(13325,6),(13326,9),(13327,4),(13328,6),(13329,6),(13330,6),(13331,1),(13332,5),(13333,2),(13334,1),(13335,8),(13336,3),(13337,7),(13338,5),(13339,4),(13340,6),(13341,9),(13342,3),(13343,2),(13344,3),(13345,3),(13346,8),(13347,2),(13348,7),(13349,1),(13350,9),(13351,1),(13352,7),(13353,3),(13354,6),(13355,4),(13356,6),(13357,6),(13358,6),(13359,2),(13360,8),(13361,7),(13362,2),(13363,5),(13364,4),(13365,9),(13366,4),(13367,8),(13368,8),(13369,8),(13370,6),(13371,3),(13372,3),(13373,6),(13374,3),(13375,6),(13376,1),(13377,3),(13378,8),(13379,1),(13380,7),(13381,8),(13382,2),(13383,5),(13384,5),(13385,3),(13386,4),(13387,6),(13388,5),(13389,5),(13390,7),(13391,1),(13392,9),(13393,1),(13394,1),(13395,5),(13396,5),(13397,2),(13398,7),(13399,1),(13400,7),(13401,9),(13402,8),(13403,2),(13404,2),(13405,2),(13406,2),(13407,9),(13408,9),(13409,9),(13410,1),(13411,4),(13412,3),(13413,5),(13414,5),(13415,9),(13416,5),(13417,9),(13418,4),(13419,9),(13420,7),(13421,9),(13422,7),(13423,9),(13424,7),(13425,1),(13426,3),(13427,2),(13428,1),(13429,1),(13430,2),(13431,4),(13432,5),(13433,9),(13434,1),(13435,1),(13436,5),(13437,1),(13438,7),(13439,2),(13440,7),(13441,1),(13442,7),(13443,9),(13444,7),(13445,1),(13446,9),(13447,2),(13448,8),(13449,3),(13450,2),(13451,2),(13452,6),(13453,5),(13454,8),(13455,5),(13456,2),(13457,3),(13458,9),(13459,1),(13460,1),(13461,3),(13462,8),(13463,8),(13464,4),(13465,5),(13466,6),(13467,5),(13468,8),(13469,7),(13470,9),(13471,2),(13472,7),(13473,7),(13474,8),(13475,6),(13476,4),(13477,3),(13478,5),(13479,7),(13480,8),(13481,7),(13482,7),(13483,5),(13484,4),(13485,4),(13486,3),(13487,8),(13488,5),(13489,7),(13490,3),(13491,9),(13492,8),(13493,6),(13494,3),(13495,6),(13496,8),(13497,9),(13498,3),(13499,6),(13500,7),(13501,3),(13502,8),(13503,5),(13504,4),(13505,7),(13506,2),(13507,1),(13508,8),(13509,1),(13510,7),(13511,1),(13512,6),(13513,4),(13514,8),(13515,2),(13516,6),(13517,3),(13518,7),(13519,4),(13520,3),(13521,3),(13522,3),(13523,8),(13524,8),(13525,1),(13526,6),(13527,8),(13528,7),(13529,8),(13530,3),(13531,3),(13532,6),(13533,4),(13534,6),(13535,6),(13536,9),(13537,7),(13538,7),(13539,2),(13540,5),(13541,1),(13542,8),(13543,2),(13544,3),(13545,1),(13546,5),(13547,4),(13548,5),(13549,3),(13550,4),(13551,6),(13552,4),(13553,3),(13554,9),(13555,8),(13556,5),(13557,6),(13558,1),(13559,7),(13560,6),(13561,4),(13562,5),(13563,9),(13564,8),(13565,3),(13566,1),(13567,4),(13568,3),(13569,9),(13570,4),(13571,5),(13572,1),(13573,7),(13574,5),(13575,3),(13576,1),(13577,3),(13578,2),(13579,8),(13580,8),(13581,1),(13582,4),(13583,8),(13584,7),(13585,8),(13586,8),(13587,2),(13588,9),(13589,8),(13590,4),(13591,1),(13592,9),(13593,8),(13594,7),(13595,6),(13596,3),(13597,7),(13598,1),(13599,4),(13600,6),(13601,2),(13602,1),(13603,8),(13604,9),(13605,1),(13606,2),(13607,9),(13608,9),(13609,4),(13610,4),(13611,3),(13612,7),(13613,7),(13614,9),(13615,3),(13616,1),(13617,9),(13618,5),(13619,7),(13620,3),(13621,3),(13622,4),(13623,2),(13624,3),(13625,1),(13626,3),(13627,8),(13628,3),(13629,6),(13630,3),(13631,2),(13632,7),(13633,6),(13634,7),(13635,9),(13636,3),(13637,4),(13638,7),(13639,7),(13640,9),(13641,3),(13642,4),(13643,9),(13644,8),(13645,6),(13646,6),(13647,9),(13648,6),(13649,2),(13650,3),(13651,5),(13652,3),(13653,1),(13654,6),(13655,3),(13656,1),(13657,8),(13658,6),(13659,1),(13660,4),(13661,6),(13662,7),(13663,9),(13664,7),(13665,4),(13666,7),(13667,9),(13668,4),(13669,2),(13670,8),(13671,2),(13672,4),(13673,5),(13674,9),(13675,5),(13676,1),(13677,7),(13678,5),(13679,9),(13680,5),(13681,1),(13682,9),(13683,2),(13684,2),(13685,3),(13686,5),(13687,7),(13688,2),(13689,3),(13690,4),(13691,7),(13692,4),(13693,8),(13694,8),(13695,2),(13696,6),(13697,1),(13698,7),(13699,9),(13700,1),(13701,9),(13702,9),(13703,5),(13704,4),(13705,2),(13706,6),(13707,1),(13708,2),(13709,2),(13710,4),(13711,9),(13712,1),(13713,6),(13714,9),(13715,2),(13716,1),(13717,7),(13718,4),(13719,6),(13720,7),(13721,1),(13722,2),(13723,7),(13724,1),(13725,1),(13726,9),(13727,5),(13728,9),(13729,2),(13730,1),(13731,4),(13732,2),(13733,7),(13734,9),(13735,8),(13736,6),(13737,8),(13738,1),(13739,6),(13740,5),(13741,6),(13742,8),(13743,2),(13744,4),(13745,2),(13746,8),(13747,1),(13748,5),(13749,5),(13750,7),(13751,3),(13752,7),(13753,8),(13754,8),(13755,9),(13756,3),(13757,3),(13758,8),(13759,9),(13760,6),(13761,7),(13762,2),(13763,2),(13764,8),(13765,3),(13766,4),(13767,6),(13768,8),(13769,8),(13770,6),(13771,9),(13772,7),(13773,4),(13774,6),(13775,3),(13776,2),(13777,9),(13778,2),(13779,3),(13780,7),(13781,7),(13782,2),(13783,7),(13784,5),(13785,6),(13786,5),(13787,9),(13788,7),(13789,3),(13790,6),(13791,1),(13792,6),(13793,6),(13794,1),(13795,4),(13796,9),(13797,4),(13798,4),(13799,2),(13800,1),(13801,2),(13802,1),(13803,7),(13804,2),(13805,1),(13806,4),(13807,4),(13808,5),(13809,6),(13810,8),(13811,4),(13812,5),(13813,6),(13814,4),(13815,9),(13816,7),(13817,7),(13818,9),(13819,2),(13820,7),(13821,1),(13822,7),(13823,6),(13824,3),(13825,3),(13826,7),(13827,9),(13828,7),(13829,4),(13830,7),(13831,7),(13832,8),(13833,6),(13834,4),(13835,3),(13836,2),(13837,6),(13838,3),(13839,1),(13840,6),(13841,9),(13842,1),(13843,1),(13844,3),(13845,4),(13846,2),(13847,1),(13848,1),(13849,3),(13850,5),(13851,2),(13852,6),(13853,8),(13854,1),(13855,9),(13856,8),(13857,5),(13858,3),(13859,7),(13860,3),(13861,6),(13862,9),(13863,8),(13864,6),(13865,9),(13866,6),(13867,4),(13868,3),(13869,3),(13870,5),(13871,8),(13872,1),(13873,4),(13874,1),(13875,9),(13876,2),(13877,4),(13878,3),(13879,6),(13880,9),(13881,8),(13882,8),(13883,1),(13884,9),(13885,8),(13886,3),(13887,7),(13888,4),(13889,7),(13890,9),(13891,9),(13892,1),(13893,1),(13894,5),(13895,6),(13896,6),(13897,4),(13898,8),(13899,8),(13900,2),(13901,1),(13902,3),(13903,8),(13904,5),(13905,6),(13906,4),(13907,2),(13908,8),(13909,5),(13910,3),(13911,9),(13912,5),(13913,6),(13914,1),(13915,8),(13916,6),(13917,7),(13918,2),(13919,1),(13920,5),(13921,9),(13922,7),(13923,4),(13924,7),(13925,3),(13926,5),(13927,1),(13928,2),(13929,4),(13930,3),(13931,3),(13932,2),(13933,9),(13934,5),(13935,5),(13936,1),(13937,4),(13938,6),(13939,5),(13940,5),(13941,3),(13942,2),(13943,4),(13944,3),(13945,4),(13946,5),(13947,9),(13948,3),(13949,9),(13950,6),(13951,8),(13952,2),(13953,2),(13954,4),(13955,4),(13956,5),(13957,5),(13958,1),(13959,8),(13960,2),(13961,9),(13962,6),(13963,5),(13964,6),(13965,2),(13966,4),(13967,5),(13968,5),(13969,3),(13970,3),(13971,8),(13972,9),(13973,3),(13974,2),(13975,1),(13976,3),(13977,3),(13978,7),(13979,8),(13980,3),(13981,9),(13982,5),(13983,6),(13984,4),(13985,7),(13986,1),(13987,1),(13988,4),(13989,2),(13990,7),(13991,4),(13992,4),(13993,3),(13994,1),(13995,4),(13996,8),(13997,4),(13998,6),(13999,6),(14000,1),(14001,5),(14002,1),(14003,5),(14004,6),(14005,5),(14006,4),(14007,3),(14008,5),(14009,3),(14010,9),(14011,7),(14012,4),(14013,9),(14014,3),(14015,9),(14016,2),(14017,2),(14018,9),(14019,9),(14020,7),(14021,4),(14022,1),(14023,3),(14024,8),(14025,4),(14026,4),(14027,6),(14028,8),(14029,4),(14030,2),(14031,2),(14032,2),(14033,8),(14034,7),(14035,9),(14036,3),(14037,9),(14038,3),(14039,7),(14040,6),(14041,5),(14042,1),(14043,1),(14044,6),(14045,9),(14046,1),(14047,8),(14048,4),(14049,9),(14050,5),(14051,9),(14052,4),(14053,8),(14054,6),(14055,4),(14056,3),(14057,9),(14058,8),(14059,5),(14060,1),(14061,4),(14062,5),(14063,1),(14064,2),(14065,2),(14066,7),(14067,6),(14068,5),(14069,2),(14070,1),(14071,6),(14072,2),(14073,3),(14074,4),(14075,3),(14076,1),(14077,3),(14078,8),(14079,5),(14080,9),(14081,2),(14082,8),(14083,9),(14084,8),(14085,5),(14086,9),(14087,1),(14088,9),(14089,9),(14090,8),(14091,2),(14092,3),(14093,4),(14094,8),(14095,5),(14096,2),(14097,1),(14098,8),(14099,5),(14100,3),(14101,2),(14102,7),(14103,6),(14104,1),(14105,8),(14106,2),(14107,9),(14108,7),(14109,1),(14110,3),(14111,8),(14112,3),(14113,6),(14114,5),(14115,2),(14116,7),(14117,7),(14118,3),(14119,7),(14120,7),(14121,9),(14122,2),(14123,5),(14124,8),(14125,2),(14126,8),(14127,3),(14128,5),(14129,7),(14130,5),(14131,6),(14132,7),(14133,6),(14134,8),(14135,3),(14136,9),(14137,4),(14138,2),(14139,2),(14140,2),(14141,2),(14142,1),(14143,6),(14144,2),(14145,9),(14146,4),(14147,6),(14148,1),(14149,6),(14150,4),(14151,4),(14152,8),(14153,5),(14154,5),(14155,3),(14156,1),(14157,2),(14158,9),(14159,1),(14160,8),(14161,9),(14162,4),(14163,1),(14164,9),(14165,9),(14166,9),(14167,1),(14168,2),(14169,1),(14170,4),(14171,3),(14172,6),(14173,2),(14174,3),(14175,9),(14176,8),(14177,2),(14178,9),(14179,3),(14180,1),(14181,2),(14182,6),(14183,6),(14184,9),(14185,5),(14186,9),(14187,7),(14188,6),(14189,4),(14190,9),(14191,3),(14192,9),(14193,7),(14194,7),(14195,9),(14196,6),(14197,6),(14198,8),(14199,2),(14200,8),(14201,2),(14202,7),(14203,2),(14204,2),(14205,5),(14206,7),(14207,7),(14208,4),(14209,8),(14210,4),(14211,6),(14212,8),(14213,7),(14214,2),(14215,3),(14216,5),(14217,3),(14218,2),(14219,4),(14220,4),(14221,7),(14222,9),(14223,3),(14224,3),(14225,8),(14226,3),(14227,9),(14228,7),(14229,1),(14230,5),(14231,1),(14232,7),(14233,3),(14234,2),(14235,6),(14236,8),(14237,8),(14238,7),(14239,7),(14240,3),(14241,3),(14242,6),(14243,2),(14244,4),(14245,1),(14246,7),(14247,5),(14248,5),(14249,9),(14250,3),(14251,1),(14252,3),(14253,3),(14254,9),(14255,3),(14256,7),(14257,1),(14258,6),(14259,1),(14260,5),(14261,4),(14262,6),(14263,4),(14264,4),(14265,3),(14266,3),(14267,9),(14268,4),(14269,2),(14270,3),(14271,9),(14272,5),(14273,2),(14274,6),(14275,9),(14276,6),(14277,6),(14278,5),(14279,9),(14280,3),(14281,3),(14282,3),(14283,7),(14284,6),(14285,2),(14286,8),(14287,3),(14288,7),(14289,5),(14290,4),(14291,2),(14292,4),(14293,7),(14294,6),(14295,2),(14296,5),(14297,9),(14298,4),(14299,1),(14300,9),(14301,9),(14302,5),(14303,2),(14304,2),(14305,9),(14306,2),(14307,2),(14308,4),(14309,2),(14310,1),(14311,7),(14312,2),(14313,4),(14314,6),(14315,2),(14316,4),(14317,8),(14318,4),(14319,4),(14320,7),(14321,1),(14322,5),(14323,4),(14324,1),(14325,1),(14326,5),(14327,6),(14328,5),(14329,7),(14330,1),(14331,6),(14332,8),(14333,6),(14334,9),(14335,9),(14336,8),(14337,5),(14338,1),(14339,3),(14340,5),(14341,6),(14342,5),(14343,6),(14344,4),(14345,9),(14346,4),(14347,9),(14348,7),(14349,5),(14350,9),(14351,7),(14352,8),(14353,7),(14354,4),(14355,2),(14356,6),(14357,8),(14358,8),(14359,6),(14360,7),(14361,7),(14362,9),(14363,1),(14364,5),(14365,6),(14366,2),(14367,6),(14368,5),(14369,5),(14370,1),(14371,7),(14372,4),(14373,8),(14374,5),(14375,7),(14376,7),(14377,6),(14378,7),(14379,3),(14380,9),(14381,5),(14382,8),(14383,1),(14384,1),(14385,7),(14386,7),(14387,1),(14388,5),(14389,4),(14390,3),(14391,3),(14392,1),(14393,5),(14394,2),(14395,4),(14396,3),(14397,8),(14398,9),(14399,3),(14400,7),(14401,2),(14402,1),(14403,5),(14404,2),(14405,2),(14406,3),(14407,2),(14408,6),(14409,6),(14410,5),(14411,1),(14412,9),(14413,2),(14414,7),(14415,6),(14416,1),(14417,9),(14418,2),(14419,4),(14420,3),(14421,4),(14422,7),(14423,4),(14424,2),(14425,3),(14426,2),(14427,5),(14428,1),(14429,2),(14430,5),(14431,2),(14432,6),(14433,2),(14434,4),(14435,4),(14436,4),(14437,3),(14438,1),(14439,8),(14440,6),(14441,5),(14442,6),(14443,9),(14444,2),(14445,4),(14446,3),(14447,7),(14448,7),(14449,5),(14450,9),(14451,5),(14452,4),(14453,4),(14454,4),(14455,5),(14456,5),(14457,7),(14458,3),(14459,4),(14460,9),(14461,2),(14462,2),(14463,2),(14464,4),(14465,2),(14466,8),(14467,7),(14468,7),(14469,6),(14470,7),(14471,4),(14472,7),(14473,4),(14474,1),(14475,7),(14476,6),(14477,7),(14478,9),(14479,2),(14480,9),(14481,5),(14482,7),(14483,2),(14484,3),(14485,8),(14486,1),(14487,2),(14488,8),(14489,5),(14490,8),(14491,2),(14492,1),(14493,5),(14494,2),(14495,5),(14496,8),(14497,4),(14498,4),(14499,9),(14500,6),(14501,3),(14502,6),(14503,3),(14504,1),(14505,7),(14506,9),(14507,3),(14508,3),(14509,6),(14510,1),(14511,3),(14512,4),(14513,2),(14514,7),(14515,1),(14516,9),(14517,5),(14518,9),(14519,1),(14520,8),(14521,2),(14522,3),(14523,8),(14524,9),(14525,2),(14526,6),(14527,7),(14528,2),(14529,1),(14530,4),(14531,8),(14532,1),(14533,8),(14534,8),(14535,9),(14536,8),(14537,5),(14538,4),(14539,5),(14540,8),(14541,3),(14542,8),(14543,4),(14544,5),(14545,1),(14546,1),(14547,9),(14548,3),(14549,4),(14550,1),(14551,5),(14552,5),(14553,5),(14554,9),(14555,7),(14556,1),(14557,1),(14558,3),(14559,8),(14560,2),(14561,6),(14562,9),(14563,3),(14564,6),(14565,2),(14566,2),(14567,8),(14568,5),(14569,4),(14570,1),(14571,2),(14572,4),(14573,1),(14574,4),(14575,3),(14576,3),(14577,2),(14578,3),(14579,2),(14580,5),(14581,8),(14582,9),(14583,2),(14584,2),(14585,9),(14586,6),(14587,5),(14588,2),(14589,1),(14590,5),(14591,4),(14592,4),(14593,9),(14594,6),(14595,9),(14596,4),(14597,7),(14598,7),(14599,4),(14600,3),(14601,2),(14602,7),(14603,1),(14604,2),(14605,6),(14606,2),(14607,9),(14608,8),(14609,8),(14610,4),(14611,2),(14612,7),(14613,9),(14614,3),(14615,4),(14616,7),(14617,3),(14618,9),(14619,8),(14620,7),(14621,2),(14622,6),(14623,3),(14624,3),(14625,3),(14626,4),(14627,7),(14628,6),(14629,5),(14630,8),(14631,6),(14632,3),(14633,3),(14634,8),(14635,4),(14636,4),(14637,8),(14638,2),(14639,7),(14640,9),(14641,3),(14642,5),(14643,8),(14644,4),(14645,6),(14646,4),(14647,9),(14648,9),(14649,1),(14650,2),(14651,8),(14652,7),(14653,8),(14654,5),(14655,4),(14656,7),(14657,6),(14658,5),(14659,3),(14660,5),(14661,6),(14662,8),(14663,2),(14664,1),(14665,6),(14666,4),(14667,6),(14668,3),(14669,6),(14670,7),(14671,2),(14672,2),(14673,7),(14674,1),(14675,7),(14676,5),(14677,3),(14678,8),(14679,1),(14680,2),(14681,7),(14682,8),(14683,8),(14684,6),(14685,6),(14686,4),(14687,5),(14688,8),(14689,3),(14690,8),(14691,7),(14692,5),(14693,9),(14694,6),(14695,5),(14696,9),(14697,9),(14698,1),(14699,7),(14700,6),(14701,5),(14702,1),(14703,8),(14704,8),(14705,7),(14706,9),(14707,3),(14708,1),(14709,8),(14710,2),(14711,5),(14712,2),(14713,1),(14714,6),(14715,7),(14716,5),(14717,7),(14718,8),(14719,1),(14720,8),(14721,5),(14722,6),(14723,5),(14724,1),(14725,5),(14726,2),(14727,3),(14728,3),(14729,1),(14730,7),(14731,5),(14732,9),(14733,4),(14734,9),(14735,9),(14736,9),(14737,5),(14738,5),(14739,3),(14740,6),(14741,6),(14742,2),(14743,5),(14744,2),(14745,3),(14746,2),(14747,9),(14748,3),(14749,9),(14750,3),(14751,1),(14752,6),(14753,1),(14754,2),(14755,3),(14756,7),(14757,1),(14758,8),(14759,2),(14760,2),(14761,6),(14762,3),(14763,8),(14764,3),(14765,5),(14766,6),(14767,3),(14768,3),(14769,9),(14770,2),(14771,3),(14772,9),(14773,8),(14774,2),(14775,5),(14776,2),(14777,2),(14778,7),(14779,9),(14780,1),(14781,7),(14782,1),(14783,7),(14784,9),(14785,7),(14786,1),(14787,1),(14788,7),(14789,6),(14790,9),(14791,4),(14792,5),(14793,9),(14794,8),(14795,9),(14796,5),(14797,7),(14798,9),(14799,8),(14800,8),(14801,9),(14802,8),(14803,9),(14804,8),(14805,9),(14806,8),(14807,9),(14808,3),(14809,7),(14810,4),(14811,9),(14812,7),(14813,6),(14814,9),(14815,2),(14816,7),(14817,9),(14818,1),(14819,3),(14820,5),(14821,5),(14822,5),(14823,2),(14824,5),(14825,3),(14826,9),(14827,5),(14828,5),(14829,2),(14830,6),(14831,1),(14832,1),(14833,9),(14834,6),(14835,2),(14836,3),(14837,8),(14838,6),(14839,7),(14840,6),(14841,7),(14842,7),(14843,7),(14844,6),(14845,4),(14846,3),(14847,8),(14848,7),(14849,8),(14850,1),(14851,6),(14852,7),(14853,9),(14854,7),(14855,8),(14856,8),(14857,9),(14858,6),(14859,2),(14860,6),(14861,6),(14862,9),(14863,9),(14864,1),(14865,2),(14866,1),(14867,9),(14868,3),(14869,8),(14870,8),(14871,2),(14872,7),(14873,1),(14874,5),(14875,3),(14876,1),(14877,5),(14878,5),(14879,1),(14880,8),(14881,5),(14882,2),(14883,6),(14884,1),(14885,5),(14886,4),(14887,5),(14888,4),(14889,2),(14890,3),(14891,9),(14892,6),(14893,5),(14894,6),(14895,4),(14896,7),(14897,8),(14898,9),(14899,1),(14900,2),(14901,4),(14902,3),(14903,9),(14904,4),(14905,6),(14906,2),(14907,4),(14908,6),(14909,8),(14910,7),(14911,8),(14912,4),(14913,3),(14914,6),(14915,2),(14916,7),(14917,9),(14918,9),(14919,6),(14920,3),(14921,5),(14922,7),(14923,9),(14924,7),(14925,7),(14926,6),(14927,2),(14928,6),(14929,7),(14930,4),(14931,6),(14932,6),(14933,9),(14934,5),(14935,7),(14936,6),(14937,5),(14938,7),(14939,4),(14940,7),(14941,6),(14942,6),(14943,7),(14944,4),(14945,5),(14946,1),(14947,9),(14948,1),(14949,9),(14950,5),(14951,1),(14952,8),(14953,6),(14954,4),(14955,1),(14956,8),(14957,9),(14958,8),(14959,8),(14960,4),(14961,9),(14962,4),(14963,2),(14964,8),(14965,7),(14966,5),(14967,1),(14968,6),(14969,9),(14970,6),(14971,9),(14972,4),(14973,4),(14974,8),(14975,4),(14976,3),(14977,8),(14978,3),(14979,8),(14980,1),(14981,8),(14982,9),(14983,4),(14984,5),(14985,4),(14986,1),(14987,6),(14988,2),(14989,2),(14990,1),(14991,6),(14992,9),(14993,8),(14994,4),(14995,6),(14996,5),(14997,2),(14998,6),(14999,8),(15000,1),(15001,3),(15002,6),(15003,3),(15004,8),(15005,9),(15006,7),(15007,9),(15008,5),(15009,8),(15010,4),(15011,8),(15012,6),(15013,6),(15014,4),(15015,3),(15016,2),(15017,1),(15018,9),(15019,2),(15020,4),(15021,7),(15022,3),(15023,6),(15024,3),(15025,5),(15026,9),(15027,9),(15028,9),(15029,5),(15030,5),(15031,1),(15032,2),(15033,5),(15034,5),(15035,6),(15036,2),(15037,8),(15038,8),(15039,8),(15040,5),(15041,1),(15042,6),(15043,4),(15044,2),(15045,9),(15046,7),(15047,7),(15048,2),(15049,5),(15050,9),(15051,2),(15052,4),(15053,3),(15054,7),(15055,1),(15056,9),(15057,7),(15058,6),(15059,7),(15060,7),(15061,2),(15062,2),(15063,4),(15064,6),(15065,5),(15066,5),(15067,5),(15068,8),(15069,6),(15070,9),(15071,7),(15072,2),(15073,9),(15074,4),(15075,7),(15076,6),(15077,3),(15078,1),(15079,3),(15080,7),(15081,4),(15082,8),(15083,1),(15084,2),(15085,7),(15086,6),(15087,2),(15088,4),(15089,9),(15090,4),(15091,6),(15092,8),(15093,5),(15094,1),(15095,4),(15096,5),(15097,8),(15098,2),(15099,9),(15100,3),(15101,9),(15102,9),(15103,4),(15104,3),(15105,6),(15106,2),(15107,8),(15108,6),(15109,3),(15110,4),(15111,1),(15112,9),(15113,3),(15114,1),(15115,3),(15116,2),(15117,5),(15118,8),(15119,6),(15120,5),(15121,1),(15122,1),(15123,2),(15124,1),(15125,8),(15126,4),(15127,9),(15128,7),(15129,1),(15130,8),(15131,9),(15132,5),(15133,4),(15134,5),(15135,7),(15136,1),(15137,3),(15138,8),(15139,4),(15140,4),(15141,8),(15142,6),(15143,3),(15144,7),(15145,9),(15146,4),(15147,8),(15148,1),(15149,3),(15150,4),(15151,6),(15152,9),(15153,8),(15154,7),(15155,6),(15156,9),(15157,2),(15158,8),(15159,6),(15160,8),(15161,9),(15162,8),(15163,2),(15164,6),(15165,5),(15166,7),(15167,9),(15168,2),(15169,2),(15170,9),(15171,5),(15172,7),(15173,9),(15174,1),(15175,9),(15176,9),(15177,5),(15178,7),(15179,6),(15180,7),(15181,2),(15182,5),(15183,9),(15184,2),(15185,6),(15186,6),(15187,4),(15188,9),(15189,4),(15190,1),(15191,7),(15192,6),(15193,7),(15194,1),(15195,1),(15196,4),(15197,4),(15198,1),(15199,7),(15200,1),(15201,7),(15202,9),(15203,9),(15204,2),(15205,8),(15206,3),(15207,5),(15208,9),(15209,2),(15210,4),(15211,7),(15212,8),(15213,3),(15214,4),(15215,4),(15216,4),(15217,6),(15218,1),(15219,3),(15220,4),(15221,6),(15222,9),(15223,3),(15224,8),(15225,8),(15226,6),(15227,2),(15228,3),(15229,1),(15230,6),(15231,3),(15232,8),(15233,3),(15234,5),(15235,7),(15236,7),(15237,2),(15238,4),(15239,2),(15240,7),(15241,8),(15242,3),(15243,8),(15244,4),(15245,1),(15246,6),(15247,5),(15248,5),(15249,1),(15250,3),(15251,3),(15252,3),(15253,6),(15254,8),(15255,1),(15256,2),(15257,4),(15258,6),(15259,6),(15260,9),(15261,2),(15262,9),(15263,3),(15264,4),(15265,6),(15266,3),(15267,1),(15268,6),(15269,9),(15270,6),(15271,5),(15272,2),(15273,3),(15274,2),(15275,4),(15276,2),(15277,3),(15278,4),(15279,9),(15280,6),(15281,7),(15282,6),(15283,6),(15284,2),(15285,8),(15286,6),(15287,2),(15288,7),(15289,3),(15290,1),(15291,8),(15292,3),(15293,3),(15294,7),(15295,7),(15296,2),(15297,6),(15298,7),(15299,1),(15300,2),(15301,8),(15302,8),(15303,5),(15304,9),(15305,2),(15306,9),(15307,4),(15308,4),(15309,8),(15310,9),(15311,4),(15312,5),(15313,9),(15314,5),(15315,9),(15316,2),(15317,2),(15318,7),(15319,1),(15320,4),(15321,5),(15322,7),(15323,8),(15324,6),(15325,9),(15326,7),(15327,2),(15328,2),(15329,2),(15330,6),(15331,9),(15332,4),(15333,3),(15334,2),(15335,7),(15336,7),(15337,1),(15338,4),(15339,4),(15340,8),(15341,5),(15342,5),(15343,9),(15344,2),(15345,2),(15346,6),(15347,3),(15348,1),(15349,9),(15350,3),(15351,3),(15352,2),(15353,9),(15354,1),(15355,6),(15356,9),(15357,5),(15358,8),(15359,1),(15360,6),(15361,5),(15362,9),(15363,7),(15364,3),(15365,9),(15366,7),(15367,7),(15368,2),(15369,8),(15370,2),(15371,6),(15372,9),(15373,5),(15374,7),(15375,8),(15376,4),(15377,4),(15378,2),(15379,6),(15380,4),(15381,4),(15382,6),(15383,3),(15384,3),(15385,4),(15386,2),(15387,7),(15388,3),(15389,5),(15390,3),(15391,6),(15392,7),(15393,7),(15394,5),(15395,8),(15396,3),(15397,6),(15398,9),(15399,6),(15400,9),(15401,3),(15402,9),(15403,8),(15404,1),(15405,4),(15406,3),(15407,8),(15408,7),(15409,3),(15410,3),(15411,8),(15412,2),(15413,2),(15414,2),(15415,6),(15416,3),(15417,5),(15418,5),(15419,1),(15420,9),(15421,1),(15422,3),(15423,1),(15424,4),(15425,7),(15426,2),(15427,7),(15428,1),(15429,7),(15430,8),(15431,5),(15432,6),(15433,3),(15434,9),(15435,5),(15436,9),(15437,6),(15438,3),(15439,3),(15440,2),(15441,2),(15442,3),(15443,3),(15444,4),(15445,5),(15446,8),(15447,6),(15448,4),(15449,3),(15450,8),(15451,6),(15452,6),(15453,1),(15454,9),(15455,8),(15456,3),(15457,2),(15458,9),(15459,3),(15460,4),(15461,6),(15462,4),(15463,6),(15464,6),(15465,9),(15466,4),(15467,3),(15468,5),(15469,7),(15470,9),(15471,1),(15472,1),(15473,7),(15474,8),(15475,3),(15476,3),(15477,8),(15478,5),(15479,4),(15480,7),(15481,4),(15482,1),(15483,4),(15484,6),(15485,2),(15486,7),(15487,4),(15488,7),(15489,2),(15490,9),(15491,5),(15492,2),(15493,2),(15494,9),(15495,5),(15496,3),(15497,7),(15498,4),(15499,8),(15500,4),(15501,3),(15502,3),(15503,2),(15504,1),(15505,1),(15506,7),(15507,6),(15508,9),(15509,4),(15510,5),(15511,2),(15512,6),(15513,1),(15514,2),(15515,1),(15516,9),(15517,6),(15518,8),(15519,2),(15520,2),(15521,5),(15522,4),(15523,3),(15524,1),(15525,9),(15526,5),(15527,5),(15528,9),(15529,9),(15530,7),(15531,5),(15532,1),(15533,7),(15534,3),(15535,7),(15536,3),(15537,1),(15538,5),(15539,3),(15540,9),(15541,9),(15542,9),(15543,2),(15544,9),(15545,9),(15546,6),(15547,1),(15548,3),(15549,2),(15550,9),(15551,9),(15552,1),(15553,7),(15554,8),(15555,5),(15556,1),(15557,5),(15558,7),(15559,2),(15560,9),(15561,9),(15562,3),(15563,8),(15564,7),(15565,8),(15566,7),(15567,4),(15568,3),(15569,8),(15570,4),(15571,7),(15572,3),(15573,8),(15574,1),(15575,6),(15576,9),(15577,1),(15578,8),(15579,7),(15580,6),(15581,8),(15582,5),(15583,5),(15584,8),(15585,9),(15586,6),(15587,8),(15588,3),(15589,1),(15590,5),(15591,9),(15592,3),(15593,8),(15594,8),(15595,5),(15596,7),(15597,7),(15598,2),(15599,5),(15600,1),(15601,8),(15602,9),(15603,8),(15604,6),(15605,5),(15606,4),(15607,9),(15608,8),(15609,5),(15610,8),(15611,2),(15612,8),(15613,6),(15614,5),(15615,5),(15616,2),(15617,1),(15618,4),(15619,7),(15620,4),(15621,7),(15622,3),(15623,8),(15624,7),(15625,7),(15626,7),(15627,7),(15628,4),(15629,5),(15630,2),(15631,4),(15632,3),(15633,2),(15634,9),(15635,9),(15636,2),(15637,6),(15638,2),(15639,6),(15640,3),(15641,3),(15642,9),(15643,7),(15644,7),(15645,7),(15646,8),(15647,2),(15648,1),(15649,3),(15650,7),(15651,6),(15652,5),(15653,9),(15654,7),(15655,6),(15656,6),(15657,2),(15658,8),(15659,6),(15660,7),(15661,9),(15662,1),(15663,7),(15664,2),(15665,9),(15666,2),(15667,1),(15668,1),(15669,2),(15670,8),(15671,9),(15672,8),(15673,8),(15674,4),(15675,9),(15676,7),(15677,7),(15678,8),(15679,8),(15680,4),(15681,4),(15682,8),(15683,8),(15684,1),(15685,4),(15686,6),(15687,5),(15688,7),(15689,2),(15690,8),(15691,9),(15692,4),(15693,4),(15694,9),(15695,4),(15696,7),(15697,7),(15698,1),(15699,3),(15700,3),(15701,5),(15702,3),(15703,6),(15704,8),(15705,5),(15706,1),(15707,1),(15708,7),(15709,4),(15710,9),(15711,1),(15712,3),(15713,3),(15714,2),(15715,3),(15716,2),(15717,8),(15718,7),(15719,1),(15720,6),(15721,4),(15722,6),(15723,3),(15724,3),(15725,4),(15726,4),(15727,9),(15728,3),(15729,3),(15730,5),(15731,2),(15732,2),(15733,4),(15734,6),(15735,9),(15736,5),(15737,2),(15738,3),(15739,2),(15740,5),(15741,4),(15742,5),(15743,9),(15744,1),(15745,8),(15746,8),(15747,4),(15748,9),(15749,5),(15750,1),(15751,5),(15752,1),(15753,3),(15754,5),(15755,1),(15756,1),(15757,1),(15758,5),(15759,8),(15760,3),(15761,1),(15762,3),(15763,9),(15764,1),(15765,1),(15766,8),(15767,5),(15768,6),(15769,2),(15770,8),(15771,7),(15772,8),(15773,5),(15774,9),(15775,5),(15776,6),(15777,4),(15778,9),(15779,3),(15780,5),(15781,9),(15782,5),(15783,2),(15784,9),(15785,7),(15786,8),(15787,5),(15788,5),(15789,6),(15790,3),(15791,7),(15792,7),(15793,1),(15794,6),(15795,7),(15796,7),(15797,3),(15798,6),(15799,6),(15800,8),(15801,2),(15802,3),(15803,3),(15804,7),(15805,3),(15806,1),(15807,9),(15808,2),(15809,2),(15810,2),(15811,5),(15812,2),(15813,3),(15814,9),(15815,5),(15816,9),(15817,4),(15818,3),(15819,1),(15820,7),(15821,3),(15822,3),(15823,9),(15824,1),(15825,6),(15826,7),(15827,9),(15828,2),(15829,9),(15830,3),(15831,8),(15832,4),(15833,9),(15834,3),(15835,6),(15836,3),(15837,1),(15838,6),(15839,4),(15840,5),(15841,1),(15842,2),(15843,1),(15844,2),(15845,5),(15846,3),(15847,7),(15848,9),(15849,5),(15850,9),(15851,3),(15852,7),(15853,5),(15854,7),(15855,3),(15856,1),(15857,9),(15858,6),(15859,3),(15860,9),(15861,1),(15862,7),(15863,1),(15864,5),(15865,1),(15866,6),(15867,5),(15868,4),(15869,7),(15870,4),(15871,1),(15872,6),(15873,1),(15874,8),(15875,6),(15876,6),(15877,6),(15878,5),(15879,5),(15880,4),(15881,9),(15882,3),(15883,1),(15884,5),(15885,8),(15886,1),(15887,7),(15888,8),(15889,3),(15890,2),(15891,1),(15892,3),(15893,2),(15894,7),(15895,4),(15896,4),(15897,7),(15898,4),(15899,4),(15900,5),(15901,9),(15902,3),(15903,5),(15904,2),(15905,1),(15906,5),(15907,2),(15908,4),(15909,1),(15910,6),(15911,4),(15912,7),(15913,9),(15914,8),(15915,4),(15916,6),(15917,5),(15918,8),(15919,8),(15920,5),(15921,6),(15922,5),(15923,3),(15924,5),(15925,8),(15926,6),(15927,1),(15928,2),(15929,7),(15930,8),(15931,9),(15932,7),(15933,8),(15934,2),(15935,5),(15936,7),(15937,2),(15938,6),(15939,2),(15940,2),(15941,8),(15942,1),(15943,9),(15944,5),(15945,7),(15946,9),(15947,1),(15948,4),(15949,4),(15950,7),(15951,9),(15952,5),(15953,9),(15954,6),(15955,2),(15956,8),(15957,8),(15958,5),(15959,7),(15960,3),(15961,8),(15962,8),(15963,4),(15964,7),(15965,1),(15966,9),(15967,6),(15968,8),(15969,1),(15970,8),(15971,7),(15972,7),(15973,4),(15974,9),(15975,7),(15976,2),(15977,9),(15978,7),(15979,9),(15980,9),(15981,7),(15982,2),(15983,7),(15984,3),(15985,9),(15986,5),(15987,8),(15988,7),(15989,8),(15990,1),(15991,3),(15992,9),(15993,1),(15994,5),(15995,9),(15996,1),(15997,9),(15998,5),(15999,5),(16000,6),(16001,4),(16002,3),(16003,8),(16004,1),(16005,9),(16006,1),(16007,2),(16008,4),(16009,1),(16010,9),(16011,6),(16012,5),(16013,6),(16014,4),(16015,7),(16016,5),(16017,5),(16018,8),(16019,9),(16020,5),(16021,4),(16022,1),(16023,1),(16024,9),(16025,7),(16026,7),(16027,6),(16028,2),(16029,6),(16030,2),(16031,7),(16032,9),(16033,1),(16034,4),(16035,2),(16036,8),(16037,7),(16038,8),(16039,1),(16040,4),(16041,6),(16042,9),(16043,3),(16044,1),(16045,5),(16046,3),(16047,5),(16048,2),(16049,5),(16050,3),(16051,7),(16052,1),(16053,9),(16054,7),(16055,8),(16056,1),(16057,2),(16058,5),(16059,9),(16060,5),(16061,1),(16062,6),(16063,2),(16064,2),(16065,9),(16066,1),(16067,9),(16068,6),(16069,4),(16070,4),(16071,4),(16072,2),(16073,6),(16074,8),(16075,4),(16076,6),(16077,7),(16078,5),(16079,9),(16080,5),(16081,9),(16082,3),(16083,6),(16084,4),(16085,2),(16086,2),(16087,9),(16088,3),(16089,3),(16090,2),(16091,8),(16092,1),(16093,9),(16094,4),(16095,3),(16096,4),(16097,9),(16098,5),(16099,1),(16100,4),(16101,1),(16102,1),(16103,1),(16104,3),(16105,5),(16106,9),(16107,5),(16108,1),(16109,7),(16110,9),(16111,8),(16112,9),(16113,2),(16114,7),(16115,8),(16116,7),(16117,2),(16118,8),(16119,8),(16120,7),(16121,6),(16122,8),(16123,8),(16124,7),(16125,2),(16126,3),(16127,4),(16128,4),(16129,3),(16130,1),(16131,1),(16132,5),(16133,6),(16134,8),(16135,2),(16136,6),(16137,9),(16138,9),(16139,7),(16140,7),(16141,4),(16142,3),(16143,1),(16144,8),(16145,6),(16146,7),(16147,6),(16148,6),(16149,3),(16150,1),(16151,8),(16152,7),(16153,6),(16154,5),(16155,3),(16156,7),(16157,6),(16158,8),(16159,5),(16160,4),(16161,1),(16162,8),(16163,9),(16164,5),(16165,3),(16166,6),(16167,4),(16168,9),(16169,7),(16170,7),(16171,2),(16172,6),(16173,4),(16174,2),(16175,5),(16176,1),(16177,6),(16178,3),(16179,2),(16180,4),(16181,4),(16182,2),(16183,3),(16184,6),(16185,3),(16186,3),(16187,7),(16188,8),(16189,7),(16190,2),(16191,6),(16192,9),(16193,7),(16194,5),(16195,6),(16196,9),(16197,4),(16198,5),(16199,2),(16200,9),(16201,1),(16202,6),(16203,9),(16204,5),(16205,1),(16206,8),(16207,8),(16208,8),(16209,3),(16210,3),(16211,2),(16212,1),(16213,5),(16214,2),(16215,2),(16216,1),(16217,3),(16218,4),(16219,8),(16220,1),(16221,1),(16222,5),(16223,5),(16224,8),(16225,6),(16226,4),(16227,5),(16228,2),(16229,2),(16230,7),(16231,9),(16232,2),(16233,1),(16234,6),(16235,4),(16236,2),(16237,4),(16238,9),(16239,2),(16240,1),(16241,6),(16242,9),(16243,2),(16244,3),(16245,1),(16246,5),(16247,8),(16248,6),(16249,1),(16250,3),(16251,2),(16252,8),(16253,4),(16254,4),(16255,9),(16256,3),(16257,9),(16258,5),(16259,9),(16260,5),(16261,2),(16262,9),(16263,2),(16264,3),(16265,2),(16266,5),(16267,1),(16268,2),(16269,6),(16270,1),(16271,2),(16272,9),(16273,9),(16274,1),(16275,2),(16276,6),(16277,1),(16278,3),(16279,1),(16280,3),(16281,4),(16282,4),(16283,5),(16284,9),(16285,3),(16286,7),(16287,6),(16288,6),(16289,8),(16290,5),(16291,5),(16292,1),(16293,8),(16294,6),(16295,2),(16296,4),(16297,6),(16298,1),(16299,2),(16300,4),(16301,9),(16302,8),(16303,4),(16304,5),(16305,7),(16306,6),(16307,7),(16308,7),(16309,1),(16310,6),(16311,6),(16312,9),(16313,6),(16314,9),(16315,6),(16316,2),(16317,7),(16318,8),(16319,8),(16320,1),(16321,7),(16322,4),(16323,3),(16324,4),(16325,6),(16326,4),(16327,1),(16328,8),(16329,8),(16330,8),(16331,9),(16332,1),(16333,9),(16334,3),(16335,6),(16336,7),(16337,8),(16338,7),(16339,2),(16340,1),(16341,8),(16342,9),(16343,4),(16344,7),(16345,6),(16346,9),(16347,8),(16348,4),(16349,3),(16350,4),(16351,7),(16352,9),(16353,7),(16354,7),(16355,1),(16356,8),(16357,9),(16358,3),(16359,1),(16360,4),(16361,2),(16362,8),(16363,7),(16364,7),(16365,9),(16366,2),(16367,4),(16368,9),(16369,7),(16370,4),(16371,2),(16372,7),(16373,8),(16374,6),(16375,5),(16376,4),(16377,4),(16378,9),(16379,2),(16380,8),(16381,1),(16382,2),(16383,4),(16384,6),(16385,3),(16386,9),(16387,8),(16388,4),(16389,3),(16390,9),(16391,2),(16392,8),(16393,9),(16394,4),(16395,5),(16396,9),(16397,8),(16398,8),(16399,7),(16400,9),(16401,6),(16402,5),(16403,5),(16404,5),(16405,1),(16406,1),(16407,1),(16408,8),(16409,5),(16410,6),(16411,2),(16412,9),(16413,4),(16414,9),(16415,4),(16416,2),(16417,8),(16418,9),(16419,3),(16420,4),(16421,6),(16422,9),(16423,3),(16424,6),(16425,1),(16426,7),(16427,9),(16428,1),(16429,9),(16430,7),(16431,7),(16432,1),(16433,4),(16434,7),(16435,1),(16436,3),(16437,6),(16438,7),(16439,8),(16440,9),(16441,5),(16442,2),(16443,4),(16444,6),(16445,9),(16446,8),(16447,9),(16448,1),(16449,9),(16450,5),(16451,7),(16452,7),(16453,7),(16454,4),(16455,5),(16456,5),(16457,6),(16458,8),(16459,2),(16460,3),(16461,7),(16462,4),(16463,9),(16464,7),(16465,2),(16466,2),(16467,5),(16468,1),(16469,7),(16470,4),(16471,2),(16472,3),(16473,9),(16474,1),(16475,4),(16476,4),(16477,8),(16478,5),(16479,7),(16480,5),(16481,4),(16482,1),(16483,2),(16484,7),(16485,8),(16486,2),(16487,7),(16488,5),(16489,3),(16490,2),(16491,2),(16492,7),(16493,6),(16494,8),(16495,6),(16496,7),(16497,5),(16498,6),(16499,1),(16500,2),(16501,2),(16502,3),(16503,2),(16504,1),(16505,5),(16506,8),(16507,2),(16508,7),(16509,2),(16510,9),(16511,1),(16512,4),(16513,5),(16514,6),(16515,7),(16516,2),(16517,3),(16518,1),(16519,2),(16520,8),(16521,9),(16522,3),(16523,4),(16524,3),(16525,3),(16526,4),(16527,2),(16528,9),(16529,4),(16530,2),(16531,2),(16532,7),(16533,3),(16534,2),(16535,7),(16536,7),(16537,8),(16538,4),(16539,7),(16540,6),(16541,2),(16542,2),(16543,9),(16544,9),(16545,8),(16546,6),(16547,3),(16548,4),(16549,2),(16550,6),(16551,7),(16552,2),(16553,5),(16554,8),(16555,7),(16556,7),(16557,6),(16558,2),(16559,4),(16560,4),(16561,5),(16562,2),(16563,7),(16564,6),(16565,5),(16566,2),(16567,7),(16568,3),(16569,4),(16570,2),(16571,3),(16572,4),(16573,6),(16574,5),(16575,7),(16576,8),(16577,1),(16578,1),(16579,1),(16580,4),(16581,5),(16582,5),(16583,5),(16584,1),(16585,5),(16586,5),(16587,8),(16588,5),(16589,8),(16590,4),(16591,6),(16592,5),(16593,7),(16594,3),(16595,8),(16596,7),(16597,3),(16598,2),(16599,7),(16600,7),(16601,3),(16602,4),(16603,5),(16604,9),(16605,4),(16606,5),(16607,5),(16608,2),(16609,7),(16610,2),(16611,2),(16612,7),(16613,4),(16614,8),(16615,2),(16616,5),(16617,1),(16618,1),(16619,8),(16620,9),(16621,5),(16622,8),(16623,9),(16624,6),(16625,6),(16626,1),(16627,6),(16628,2),(16629,4),(16630,3),(16631,6),(16632,2),(16633,3),(16634,1),(16635,6),(16636,1),(16637,4),(16638,7),(16639,6),(16640,4),(16641,5),(16642,5),(16643,9),(16644,9),(16645,5),(16646,3),(16647,6),(16648,5),(16649,9),(16650,8),(16651,6),(16652,4),(16653,7),(16654,7),(16655,6),(16656,5),(16657,8),(16658,2),(16659,2),(16660,9),(16661,3),(16662,6),(16663,7),(16664,8),(16665,6),(16666,4),(16667,2),(16668,2),(16669,4),(16670,2),(16671,7),(16672,9),(16673,1),(16674,5),(16675,9),(16676,1),(16677,9),(16678,2),(16679,7),(16680,9),(16681,5),(16682,3),(16683,1),(16684,7),(16685,1),(16686,1),(16687,3),(16688,2),(16689,3),(16690,2),(16691,1),(16692,2),(16693,4),(16694,2),(16695,7),(16696,2),(16697,5),(16698,9),(16699,7),(16700,6),(16701,4),(16702,4),(16703,6),(16704,6),(16705,2),(16706,9),(16707,6),(16708,4),(16709,3),(16710,8),(16711,5),(16712,2),(16713,5),(16714,4),(16715,1),(16716,5),(16717,3),(16718,9),(16719,9),(16720,3),(16721,6),(16722,7),(16723,2),(16724,1),(16725,8),(16726,9),(16727,2),(16728,9),(16729,7),(16730,3),(16731,9),(16732,3),(16733,8),(16734,7),(16735,8),(16736,4),(16737,5),(16738,7),(16739,3),(16740,7),(16741,4),(16742,4),(16743,9),(16744,6),(16745,9),(16746,6),(16747,7),(16748,8),(16749,6),(16750,7),(16751,6),(16752,5),(16753,8),(16754,9),(16755,4),(16756,3),(16757,1),(16758,2),(16759,8),(16760,3),(16761,6),(16762,2),(16763,9),(16764,6),(16765,3),(16766,9),(16767,9),(16768,9),(16769,7),(16770,8),(16771,7),(16772,8),(16773,4),(16774,6),(16775,8),(16776,2),(16777,2),(16778,5),(16779,5),(16780,7),(16781,4),(16782,7),(16783,8),(16784,9),(16785,3),(16786,5),(16787,2),(16788,9),(16789,4),(16790,6),(16791,3),(16792,7),(16793,9),(16794,4),(16795,1),(16796,1),(16797,1),(16798,9),(16799,8),(16800,2),(16801,8),(16802,2),(16803,4),(16804,7),(16805,8),(16806,8),(16807,9),(16808,2),(16809,1),(16810,7),(16811,2),(16812,2),(16813,7),(16814,2),(16815,7),(16816,5),(16817,6),(16818,8),(16819,6),(16820,6),(16821,2),(16822,1),(16823,9),(16824,6),(16825,5),(16826,6),(16827,1),(16828,5),(16829,7),(16830,4),(16831,3),(16832,7),(16833,4),(16834,1),(16835,9),(16836,2),(16837,5),(16838,5),(16839,6),(16840,7),(16841,8),(16842,5),(16843,3),(16844,4),(16845,5),(16846,3),(16847,8),(16848,1),(16849,3),(16850,9),(16851,5),(16852,1),(16853,9),(16854,4),(16855,9),(16856,5),(16857,3),(16858,4),(16859,2),(16860,1),(16861,2),(16862,4),(16863,7),(16864,8),(16865,4),(16866,4),(16867,8),(16868,8),(16869,5),(16870,3),(16871,6),(16872,8),(16873,3),(16874,1),(16875,4),(16876,9),(16877,1),(16878,5),(16879,1),(16880,2),(16881,7),(16882,5),(16883,4),(16884,5),(16885,6),(16886,4),(16887,5),(16888,5),(16889,4),(16890,7),(16891,9),(16892,7),(16893,5),(16894,1),(16895,9),(16896,2),(16897,1),(16898,9),(16899,3),(16900,3),(16901,5),(16902,3),(16903,6),(16904,1),(16905,6),(16906,9),(16907,7),(16908,9),(16909,9),(16910,3),(16911,8),(16912,9),(16913,7),(16914,9),(16915,8),(16916,3),(16917,2),(16918,7),(16919,5),(16920,9),(16921,7),(16922,2),(16923,8),(16924,6),(16925,9),(16926,7),(16927,8),(16928,6),(16929,4),(16930,7),(16931,1),(16932,3),(16933,7),(16934,7),(16935,6),(16936,6),(16937,6),(16938,6),(16939,7),(16940,9),(16941,3),(16942,5),(16943,1),(16944,6),(16945,7),(16946,7),(16947,1),(16948,6),(16949,5),(16950,1),(16951,7),(16952,3),(16953,7),(16954,7),(16955,5),(16956,5),(16957,3),(16958,9),(16959,1),(16960,6),(16961,4),(16962,1),(16963,9),(16964,2),(16965,3),(16966,3),(16967,3),(16968,6),(16969,1),(16970,3),(16971,5),(16972,1),(16973,6),(16974,9),(16975,8),(16976,8),(16977,9),(16978,9),(16979,1),(16980,3),(16981,2),(16982,4),(16983,5),(16984,8),(16985,3),(16986,7),(16987,1),(16988,9),(16989,5),(16990,7),(16991,4),(16992,3),(16993,9),(16994,1),(16995,3),(16996,6),(16997,1),(16998,2),(16999,7),(17000,1),(17001,1),(17002,9),(17003,2),(17004,6),(17005,3),(17006,1),(17007,7),(17008,9),(17009,9),(17010,1),(17011,6),(17012,1),(17013,8),(17014,8),(17015,7),(17016,8),(17017,8),(17018,4),(17019,2),(17020,9),(17021,8),(17022,3),(17023,8),(17024,1),(17025,7),(17026,5),(17027,4),(17028,6),(17029,3),(17030,1),(17031,3),(17032,5),(17033,2),(17034,5),(17035,9),(17036,4),(17037,7),(17038,5),(17039,8),(17040,7),(17041,7),(17042,4),(17043,6),(17044,1),(17045,8),(17046,1),(17047,9),(17048,8),(17049,2),(17050,8),(17051,5),(17052,9),(17053,5),(17054,4),(17055,1),(17056,8),(17057,7),(17058,4),(17059,8),(17060,3),(17061,1),(17062,5),(17063,1),(17064,7),(17065,6),(17066,1),(17067,9),(17068,8),(17069,4),(17070,6),(17071,8),(17072,9),(17073,4),(17074,5),(17075,9),(17076,1),(17077,9),(17078,2),(17079,7),(17080,7),(17081,2),(17082,1),(17083,4),(17084,3),(17085,6),(17086,9),(17087,4),(17088,9),(17089,2),(17090,8),(17091,9),(17092,3),(17093,1),(17094,5),(17095,3),(17096,2),(17097,5),(17098,6),(17099,5),(17100,5),(17101,4),(17102,8),(17103,4),(17104,7),(17105,6),(17106,1),(17107,2),(17108,5),(17109,1),(17110,2),(17111,6),(17112,6),(17113,9),(17114,7),(17115,8),(17116,8),(17117,2),(17118,1),(17119,8),(17120,2),(17121,2),(17122,8),(17123,1),(17124,8),(17125,2),(17126,2),(17127,3),(17128,4),(17129,5),(17130,6),(17131,8),(17132,8),(17133,5),(17134,4),(17135,5),(17136,3),(17137,4),(17138,1),(17139,8),(17140,7),(17141,2),(17142,3),(17143,6),(17144,3),(17145,2),(17146,2),(17147,1),(17148,5),(17149,1),(17150,1),(17151,7),(17152,6),(17153,3),(17154,7),(17155,8),(17156,6),(17157,8),(17158,4),(17159,3),(17160,6),(17161,4),(17162,9),(17163,4),(17164,9),(17165,7),(17166,6),(17167,6),(17168,1),(17169,8),(17170,9),(17171,4),(17172,2),(17173,3),(17174,9),(17175,9),(17176,3),(17177,6),(17178,1),(17179,4),(17180,2),(17181,7),(17182,4),(17183,3),(17184,3),(17185,4),(17186,6),(17187,5),(17188,2),(17189,4),(17190,8),(17191,4),(17192,3),(17193,7),(17194,9),(17195,1),(17196,6),(17197,9),(17198,8),(17199,3),(17200,4),(17201,9),(17202,6),(17203,4),(17204,9),(17205,6),(17206,2),(17207,7),(17208,9),(17209,5),(17210,5),(17211,8),(17212,6),(17213,1),(17214,1),(17215,6),(17216,7),(17217,2),(17218,9),(17219,1),(17220,9),(17221,2),(17222,2),(17223,2),(17224,9),(17225,1),(17226,8),(17227,9),(17228,1),(17229,8),(17230,1),(17231,2),(17232,1),(17233,6),(17234,3),(17235,8),(17236,8),(17237,2),(17238,4),(17239,2),(17240,8),(17241,5),(17242,6),(17243,9),(17244,1),(17245,3),(17246,9),(17247,2),(17248,9),(17249,3),(17250,5),(17251,4),(17252,3),(17253,3),(17254,9),(17255,5),(17256,5),(17257,5),(17258,7),(17259,1),(17260,8),(17261,7),(17262,9),(17263,9),(17264,8),(17265,6),(17266,7),(17267,5),(17268,8),(17269,3),(17270,6),(17271,3),(17272,7),(17273,1),(17274,2),(17275,9),(17276,2),(17277,7),(17278,2),(17279,8),(17280,1),(17281,1),(17282,6),(17283,1),(17284,2),(17285,3),(17286,4),(17287,3),(17288,3),(17289,1),(17290,2),(17291,8),(17292,1),(17293,7),(17294,7),(17295,6),(17296,7),(17297,7),(17298,1),(17299,5),(17300,4),(17301,1),(17302,1),(17303,3),(17304,2),(17305,1),(17306,9),(17307,9),(17308,7),(17309,3),(17310,7),(17311,9),(17312,8),(17313,9),(17314,2),(17315,7),(17316,4),(17317,4),(17318,1),(17319,3),(17320,3),(17321,4),(17322,1),(17323,2),(17324,1),(17325,8),(17326,2),(17327,2),(17328,5),(17329,4),(17330,3),(17331,9),(17332,4),(17333,1),(17334,8),(17335,7),(17336,4),(17337,5),(17338,4),(17339,9),(17340,9),(17341,7),(17342,2),(17343,4),(17344,8),(17345,5),(17346,5),(17347,1),(17348,7),(17349,5),(17350,3),(17351,5),(17352,4),(17353,2),(17354,6),(17355,3),(17356,2),(17357,7),(17358,8),(17359,1),(17360,9),(17361,6),(17362,5),(17363,3),(17364,4),(17365,9),(17366,2),(17367,7),(17368,4),(17369,4),(17370,4),(17371,5),(17372,2),(17373,8),(17374,1),(17375,1),(17376,9),(17377,7),(17378,6),(17379,2),(17380,3),(17381,4),(17382,8),(17383,8),(17384,7),(17385,6),(17386,9),(17387,1),(17388,4),(17389,9),(17390,9),(17391,3),(17392,6),(17393,2),(17394,6),(17395,5),(17396,5),(17397,3),(17398,5),(17399,5),(17400,2),(17401,4),(17402,4),(17403,3),(17404,5),(17405,2),(17406,6),(17407,2),(17408,1),(17409,8),(17410,1),(17411,9),(17412,7),(17413,3),(17414,3),(17415,8),(17416,8),(17417,9),(17418,5),(17419,8),(17420,6),(17421,9),(17422,2),(17423,9),(17424,1),(17425,4),(17426,4),(17427,7),(17428,3),(17429,8),(17430,2),(17431,4),(17432,5),(17433,6),(17434,7),(17435,2),(17436,2),(17437,9),(17438,7),(17439,9),(17440,6),(17441,1),(17442,4),(17443,9),(17444,1),(17445,4),(17446,9),(17447,4),(17448,7),(17449,9),(17450,1),(17451,3),(17452,4),(17453,5),(17454,7),(17455,9),(17456,3),(17457,9),(17458,2),(17459,5),(17460,7),(17461,4),(17462,7),(17463,8),(17464,5),(17465,1),(17466,2),(17467,7),(17468,5),(17469,5),(17470,9),(17471,3),(17472,5),(17473,8),(17474,1),(17475,6),(17476,9),(17477,2),(17478,5),(17479,9),(17480,5),(17481,5),(17482,8),(17483,8),(17484,1),(17485,7),(17486,9),(17487,5),(17488,2),(17489,4),(17490,1),(17491,8),(17492,2),(17493,1),(17494,5),(17495,6),(17496,9),(17497,6),(17498,5),(17499,5),(17500,5),(17501,2),(17502,7),(17503,6),(17504,8),(17505,9),(17506,9),(17507,5),(17508,6),(17509,3),(17510,5),(17511,6),(17512,1),(17513,8),(17514,5),(17515,2),(17516,7),(17517,8),(17518,5),(17519,9),(17520,5),(17521,2),(17522,4),(17523,1),(17524,7),(17525,5),(17526,2),(17527,6),(17528,4),(17529,3),(17530,1),(17531,5),(17532,6),(17533,7),(17534,1),(17535,1),(17536,3),(17537,1),(17538,8),(17539,4),(17540,1),(17541,2),(17542,2),(17543,1),(17544,8),(17545,8),(17546,6),(17547,5),(17548,7),(17549,9),(17550,1),(17551,2),(17552,4),(17553,5),(17554,5),(17555,3),(17556,8),(17557,4),(17558,3),(17559,4),(17560,4),(17561,1),(17562,6),(17563,6),(17564,6),(17565,4),(17566,8),(17567,2),(17568,9),(17569,4),(17570,8),(17571,7),(17572,9),(17573,7),(17574,9),(17575,5),(17576,2),(17577,9),(17578,5),(17579,4),(17580,3),(17581,9),(17582,3),(17583,4),(17584,7),(17585,6),(17586,2),(17587,5),(17588,5),(17589,7),(17590,9),(17591,7),(17592,4),(17593,1),(17594,3),(17595,9),(17596,2),(17597,7),(17598,5),(17599,1),(17600,1),(17601,5),(17602,6),(17603,3),(17604,6),(17605,4),(17606,5),(17607,2),(17608,6),(17609,8),(17610,4),(17611,8),(17612,2),(17613,5),(17614,1),(17615,6),(17616,7),(17617,3),(17618,9),(17619,1),(17620,1),(17621,8),(17622,7),(17623,5),(17624,1),(17625,2),(17626,2),(17627,6),(17628,7),(17629,4),(17630,9),(17631,7),(17632,8),(17633,1),(17634,4),(17635,7),(17636,7),(17637,7),(17638,5),(17639,4),(17640,6),(17641,4),(17642,6),(17643,3),(17644,3),(17645,8),(17646,5),(17647,2),(17648,2),(17649,7),(17650,6),(17651,9),(17652,6),(17653,1),(17654,3),(17655,1),(17656,9),(17657,2),(17658,6),(17659,4),(17660,2),(17661,5),(17662,1),(17663,2),(17664,9),(17665,8),(17666,6),(17667,2),(17668,3),(17669,5),(17670,6),(17671,2),(17672,3),(17673,5),(17674,4),(17675,2),(17676,4),(17677,2),(17678,3),(17679,6),(17680,3),(17681,7),(17682,9),(17683,5),(17684,6),(17685,9),(17686,9),(17687,5),(17688,6),(17689,4),(17690,1),(17691,1),(17692,2),(17693,5),(17694,4),(17695,4),(17696,8),(17697,6),(17698,7),(17699,1),(17700,3),(17701,6),(17702,5),(17703,5),(17704,1),(17705,1),(17706,2),(17707,4),(17708,7),(17709,7),(17710,5),(17711,3),(17712,6),(17713,2),(17714,5),(17715,9),(17716,7),(17717,1),(17718,1),(17719,2),(17720,3),(17721,3),(17722,7),(17723,8),(17724,1),(17725,4),(17726,3),(17727,6),(17728,9),(17729,4),(17730,6),(17731,6),(17732,1),(17733,2),(17734,3),(17735,4),(17736,1),(17737,7),(17738,3),(17739,7),(17740,8),(17741,2),(17742,4),(17743,6),(17744,6),(17745,6),(17746,2),(17747,6),(17748,5),(17749,1),(17750,8),(17751,9),(17752,3),(17753,3),(17754,6),(17755,9),(17756,5),(17757,6),(17758,9),(17759,2),(17760,9),(17761,1),(17762,3),(17763,7),(17764,2),(17765,5),(17766,2),(17767,6),(17768,2),(17769,6),(17770,2),(17771,7),(17772,7),(17773,5),(17774,7),(17775,6),(17776,5),(17777,7),(17778,7),(17779,5),(17780,2),(17781,5),(17782,8),(17783,8),(17784,9),(17785,7),(17786,8),(17787,1),(17788,5),(17789,2),(17790,3),(17791,5),(17792,5),(17793,4),(17794,7),(17795,1),(17796,5),(17797,5),(17798,8),(17799,1),(17800,5),(17801,1),(17802,1),(17803,3),(17804,4),(17805,4),(17806,8),(17807,5),(17808,4),(17809,4),(17810,5),(17811,2),(17812,8),(17813,6),(17814,8),(17815,2),(17816,6),(17817,7),(17818,8),(17819,3),(17820,3),(17821,3),(17822,1),(17823,1),(17824,9),(17825,4),(17826,8),(17827,4),(17828,9),(17829,2),(17830,7),(17831,3),(17832,5),(17833,4),(17834,1),(17835,5),(17836,3),(17837,7),(17838,2),(17839,8),(17840,9),(17841,4),(17842,6),(17843,3),(17844,4),(17845,7),(17846,3),(17847,3),(17848,3),(17849,4),(17850,1),(17851,3),(17852,6),(17853,3),(17854,4),(17855,9),(17856,2),(17857,4),(17858,8),(17859,8),(17860,5),(17861,1),(17862,6),(17863,9),(17864,7),(17865,9),(17866,1),(17867,5),(17868,5),(17869,5),(17870,3),(17871,4),(17872,8),(17873,8),(17874,6),(17875,7),(17876,4),(17877,9),(17878,8),(17879,7),(17880,4),(17881,5),(17882,6),(17883,5),(17884,4),(17885,9),(17886,8),(17887,7),(17888,8),(17889,2),(17890,1),(17891,6),(17892,6),(17893,2),(17894,8),(17895,2),(17896,1),(17897,1),(17898,2),(17899,4),(17900,4),(17901,4),(17902,1),(17903,3),(17904,3),(17905,7),(17906,8),(17907,8),(17908,6),(17909,9),(17910,7),(17911,9),(17912,4),(17913,5),(17914,2),(17915,7),(17916,1),(17917,8),(17918,6),(17919,5),(17920,9),(17921,5),(17922,2),(17923,8),(17924,4),(17925,3),(17926,6),(17927,1),(17928,1),(17929,9),(17930,5),(17931,4),(17932,5),(17933,9),(17934,7),(17935,2),(17936,1),(17937,2),(17938,4),(17939,2),(17940,9),(17941,9),(17942,4),(17943,1),(17944,6),(17945,7),(17946,5),(17947,5),(17948,8),(17949,9),(17950,9),(17951,7),(17952,3),(17953,5),(17954,9),(17955,8),(17956,9),(17957,3),(17958,2),(17959,7),(17960,1),(17961,2),(17962,3),(17963,9),(17964,2),(17965,3),(17966,6),(17967,4),(17968,6),(17969,6),(17970,8),(17971,3),(17972,8),(17973,9),(17974,8),(17975,4),(17976,5),(17977,5),(17978,7),(17979,2),(17980,8),(17981,7),(17982,5),(17983,3),(17984,7),(17985,6),(17986,3),(17987,5),(17988,4),(17989,3),(17990,2),(17991,2),(17992,1),(17993,1),(17994,3),(17995,2),(17996,6),(17997,7),(17998,5),(17999,2),(18000,7),(18001,8),(18002,1),(18003,1),(18004,8),(18005,8),(18006,1),(18007,1),(18008,6),(18009,3),(18010,5),(18011,6),(18012,8),(18013,8),(18014,5),(18015,2),(18016,8),(18017,7),(18018,6),(18019,3),(18020,7),(18021,9),(18022,8),(18023,2),(18024,1),(18025,3),(18026,8),(18027,9),(18028,9),(18029,6),(18030,2),(18031,4),(18032,6),(18033,7),(18034,4),(18035,3),(18036,7),(18037,3),(18038,4),(18039,4),(18040,2),(18041,4),(18042,7),(18043,2),(18044,8),(18045,3),(18046,1),(18047,7),(18048,5),(18049,3),(18050,2),(18051,5),(18052,7),(18053,6),(18054,8),(18055,6),(18056,2),(18057,8),(18058,4),(18059,7),(18060,4),(18061,7),(18062,7),(18063,5),(18064,5),(18065,5),(18066,2),(18067,3),(18068,8),(18069,6),(18070,9),(18071,3),(18072,8),(18073,2),(18074,6),(18075,2),(18076,2),(18077,2),(18078,9),(18079,1),(18080,4),(18081,3),(18082,1),(18083,5),(18084,1),(18085,5),(18086,6),(18087,2),(18088,2),(18089,5),(18090,4),(18091,8),(18092,2),(18093,9),(18094,5),(18095,3),(18096,5),(18097,2),(18098,8),(18099,4),(18100,3),(18101,1),(18102,3),(18103,4),(18104,4),(18105,4),(18106,3),(18107,7),(18108,5),(18109,2),(18110,9),(18111,6),(18112,4),(18113,4),(18114,8),(18115,5),(18116,4),(18117,2),(18118,9),(18119,4),(18120,6),(18121,3),(18122,5),(18123,7),(18124,6),(18125,9),(18126,7),(18127,9),(18128,6),(18129,4),(18130,8),(18131,3),(18132,4),(18133,8),(18134,6),(18135,4),(18136,6),(18137,9),(18138,7),(18139,5),(18140,1),(18141,9),(18142,7),(18143,2),(18144,5),(18145,2),(18146,9),(18147,2),(18148,9),(18149,5),(18150,8),(18151,8),(18152,4),(18153,3),(18154,8),(18155,6),(18156,1),(18157,3),(18158,4),(18159,8),(18160,7),(18161,3),(18162,7),(18163,8),(18164,1),(18165,7),(18166,3),(18167,2),(18168,7),(18169,9),(18170,6),(18171,9),(18172,7),(18173,3),(18174,1),(18175,1),(18176,3),(18177,5),(18178,2),(18179,5),(18180,7),(18181,6),(18182,1),(18183,3),(18184,9),(18185,8),(18186,9),(18187,6),(18188,1),(18189,9),(18190,7),(18191,2),(18192,1),(18193,4),(18194,7),(18195,8),(18196,5),(18197,8),(18198,7),(18199,4),(18200,4),(18201,2),(18202,7),(18203,1),(18204,9),(18205,4),(18206,3),(18207,5),(18208,8),(18209,8),(18210,6),(18211,5),(18212,7),(18213,6),(18214,1),(18215,5),(18216,3),(18217,4),(18218,7),(18219,9),(18220,6),(18221,5),(18222,2),(18223,5),(18224,9),(18225,9),(18226,7),(18227,6),(18228,6),(18229,9),(18230,9),(18231,9),(18232,4),(18233,3),(18234,5),(18235,6),(18236,7),(18237,7),(18238,5),(18239,3),(18240,1),(18241,8),(18242,4),(18243,9),(18244,6),(18245,1),(18246,8),(18247,7),(18248,6),(18249,9),(18250,2),(18251,9),(18252,7),(18253,3),(18254,4),(18255,6),(18256,5),(18257,3),(18258,2),(18259,2),(18260,6),(18261,5),(18262,7),(18263,7),(18264,1),(18265,5),(18266,4),(18267,6),(18268,7),(18269,7),(18270,6),(18271,2),(18272,3),(18273,3),(18274,1),(18275,5),(18276,2),(18277,1),(18278,3),(18279,9),(18280,8),(18281,5),(18282,5),(18283,7),(18284,8),(18285,8),(18286,3),(18287,2),(18288,7),(18289,2),(18290,1),(18291,6),(18292,2),(18293,2),(18294,7),(18295,2),(18296,3),(18297,8),(18298,5),(18299,9),(18300,1),(18301,5),(18302,9),(18303,7),(18304,3),(18305,1),(18306,8),(18307,7),(18308,8),(18309,6),(18310,5),(18311,1),(18312,9),(18313,3),(18314,7),(18315,6),(18316,2),(18317,3),(18318,3),(18319,9),(18320,1),(18321,4),(18322,2),(18323,4),(18324,1),(18325,4),(18326,7),(18327,1),(18328,8),(18329,2),(18330,6),(18331,6),(18332,2),(18333,3),(18334,9),(18335,4),(18336,1),(18337,6),(18338,4),(18339,8),(18340,6),(18341,7),(18342,7),(18343,6),(18344,9),(18345,1),(18346,5),(18347,8),(18348,2),(18349,9),(18350,3),(18351,7),(18352,9),(18353,8),(18354,7),(18355,5),(18356,3),(18357,2),(18358,1),(18359,2),(18360,7),(18361,2),(18362,3),(18363,7),(18364,2),(18365,7),(18366,4),(18367,8),(18368,3),(18369,4),(18370,5),(18371,8),(18372,2),(18373,2),(18374,9),(18375,4),(18376,5),(18377,4),(18378,8),(18379,8),(18380,6),(18381,5),(18382,9),(18383,3),(18384,7),(18385,7),(18386,1),(18387,7),(18388,3),(18389,6),(18390,1),(18391,2),(18392,2),(18393,2),(18394,1),(18395,4),(18396,3),(18397,1),(18398,8),(18399,7),(18400,1),(18401,7),(18402,4),(18403,8),(18404,1),(18405,6),(18406,9),(18407,6),(18408,9),(18409,3),(18410,2),(18411,5),(18412,9),(18413,8),(18414,2),(18415,2),(18416,9),(18417,1),(18418,2),(18419,6),(18420,9),(18421,8),(18422,3),(18423,1),(18424,3),(18425,1),(18426,8),(18427,6),(18428,1),(18429,1),(18430,6),(18431,1),(18432,3),(18433,5),(18434,8),(18435,3),(18436,2),(18437,7),(18438,2),(18439,9),(18440,6),(18441,6),(18442,5),(18443,6),(18444,7),(18445,8),(18446,6),(18447,8),(18448,2),(18449,8),(18450,5),(18451,4),(18452,7),(18453,3),(18454,1),(18455,5),(18456,8),(18457,4),(18458,1),(18459,8),(18460,8),(18461,5),(18462,5),(18463,6),(18464,1),(18465,1),(18466,3),(18467,8),(18468,9),(18469,6),(18470,1),(18471,9),(18472,6),(18473,4),(18474,9),(18475,7),(18476,8),(18477,6),(18478,8),(18479,7),(18480,7),(18481,3),(18482,1),(18483,1),(18484,6),(18485,9),(18486,9),(18487,3),(18488,6),(18489,5),(18490,8),(18491,1),(18492,5),(18493,5),(18494,6),(18495,7),(18496,1),(18497,4),(18498,5),(18499,6),(18500,9),(18501,7),(18502,2),(18503,7),(18504,6),(18505,7),(18506,9),(18507,8),(18508,1),(18509,9),(18510,6),(18511,4),(18512,9),(18513,8),(18514,1),(18515,1),(18516,6),(18517,2),(18518,9),(18519,9),(18520,3),(18521,6),(18522,2),(18523,2),(18524,9),(18525,1),(18526,3),(18527,1),(18528,7),(18529,6),(18530,8),(18531,7),(18532,4),(18533,7),(18534,1),(18535,4),(18536,7),(18537,3),(18538,4),(18539,2),(18540,4),(18541,5),(18542,1),(18543,5),(18544,8),(18545,2),(18546,8),(18547,3),(18548,3),(18549,7),(18550,9),(18551,2),(18552,1),(18553,2),(18554,5),(18555,8),(18556,3),(18557,3),(18558,4),(18559,1),(18560,7),(18561,7),(18562,6),(18563,6),(18564,1),(18565,9),(18566,1),(18567,3),(18568,8),(18569,7),(18570,1),(18571,9),(18572,8),(18573,5),(18574,6),(18575,1),(18576,6),(18577,6),(18578,6),(18579,5),(18580,3),(18581,8),(18582,6),(18583,9),(18584,7),(18585,3),(18586,5),(18587,9),(18588,1),(18589,3),(18590,4),(18591,9),(18592,3),(18593,3),(18594,2),(18595,7),(18596,4),(18597,4),(18598,4),(18599,3),(18600,7),(18601,8),(18602,2),(18603,5),(18604,8),(18605,3),(18606,2),(18607,1),(18608,3),(18609,4),(18610,9),(18611,4),(18612,7),(18613,9),(18614,9),(18615,6),(18616,1),(18617,7),(18618,2),(18619,1),(18620,3),(18621,1),(18622,3),(18623,6),(18624,1),(18625,2),(18626,8),(18627,2),(18628,9),(18629,5),(18630,5),(18631,3),(18632,7),(18633,3),(18634,3),(18635,4),(18636,7),(18637,6),(18638,7),(18639,1),(18640,6),(18641,1),(18642,6),(18643,2),(18644,1),(18645,5),(18646,2),(18647,4),(18648,5),(18649,5),(18650,8),(18651,2),(18652,4),(18653,8),(18654,9),(18655,9),(18656,5),(18657,8),(18658,4),(18659,2),(18660,1),(18661,6),(18662,8),(18663,1),(18664,6),(18665,8),(18666,1),(18667,3),(18668,9),(18669,9),(18670,8),(18671,6),(18672,7),(18673,5),(18674,5),(18675,2),(18676,4),(18677,2),(18678,7),(18679,6),(18680,2),(18681,2),(18682,2),(18683,3),(18684,7),(18685,2),(18686,2),(18687,2),(18688,1),(18689,7),(18690,7),(18691,3),(18692,9),(18693,8),(18694,6),(18695,6),(18696,2),(18697,9),(18698,8),(18699,5),(18700,7),(18701,1),(18702,1),(18703,9),(18704,5),(18705,7),(18706,4),(18707,1),(18708,2),(18709,7),(18710,5),(18711,9),(18712,7),(18713,7),(18714,5),(18715,8),(18716,3),(18717,1),(18718,2),(18719,2),(18720,3),(18721,3),(18722,4),(18723,8),(18724,6),(18725,9),(18726,6),(18727,6),(18728,3),(18729,7),(18730,4),(18731,4),(18732,7),(18733,8),(18734,2),(18735,6),(18736,4),(18737,2),(18738,7),(18739,1),(18740,9),(18741,4),(18742,3),(18743,1),(18744,8),(18745,1),(18746,2),(18747,7),(18748,1),(18749,3),(18750,5),(18751,8),(18752,3),(18753,7),(18754,6),(18755,7),(18756,8),(18757,7),(18758,7),(18759,6),(18760,1),(18761,1),(18762,8),(18763,7),(18764,1),(18765,7),(18766,3),(18767,6),(18768,6),(18769,6),(18770,1),(18771,7),(18772,9),(18773,9),(18774,1),(18775,7),(18776,9),(18777,7),(18778,2),(18779,6),(18780,9),(18781,6),(18782,7),(18783,6),(18784,2),(18785,1),(18786,5),(18787,3),(18788,6),(18789,8),(18790,1),(18791,6),(18792,4),(18793,6),(18794,7),(18795,2),(18796,9),(18797,7),(18798,7),(18799,8),(18800,3),(18801,6),(18802,9),(18803,9),(18804,7),(18805,5),(18806,6),(18807,2),(18808,8),(18809,8),(18810,3),(18811,6),(18812,2),(18813,8),(18814,5),(18815,6),(18816,6),(18817,6),(18818,1),(18819,1),(18820,5),(18821,4),(18822,7),(18823,5),(18824,7),(18825,1),(18826,9),(18827,7),(18828,4),(18829,5),(18830,9),(18831,5),(18832,4),(18833,1),(18834,3),(18835,7),(18836,3),(18837,6),(18838,4),(18839,3),(18840,6),(18841,1),(18842,6),(18843,9),(18844,6),(18845,3),(18846,3),(18847,2),(18848,6),(18849,5),(18850,1),(18851,2),(18852,2),(18853,3),(18854,8),(18855,5),(18856,2),(18857,8),(18858,8),(18859,5),(18860,7),(18861,4),(18862,9),(18863,4),(18864,3),(18865,1),(18866,6),(18867,2),(18868,9),(18869,1),(18870,1),(18871,1),(18872,1),(18873,2),(18874,9),(18875,8),(18876,1),(18877,4),(18878,6),(18879,9),(18880,7),(18881,5),(18882,5),(18883,6),(18884,4),(18885,7),(18886,1),(18887,5),(18888,5),(18889,8),(18890,7),(18891,2),(18892,4),(18893,8),(18894,1),(18895,2),(18896,6),(18897,1),(18898,2),(18899,6),(18900,1),(18901,4),(18902,8),(18903,9),(18904,6),(18905,4),(18906,9),(18907,3),(18908,8),(18909,2),(18910,8),(18911,9),(18912,8),(18913,2),(18914,2),(18915,3),(18916,5),(18917,7),(18918,9),(18919,7),(18920,4),(18921,2),(18922,4),(18923,6),(18924,7),(18925,2),(18926,7),(18927,1),(18928,6),(18929,8),(18930,2),(18931,1),(18932,6),(18933,2),(18934,4),(18935,9),(18936,2),(18937,8),(18938,4),(18939,6),(18940,2),(18941,7),(18942,8),(18943,4),(18944,3),(18945,1),(18946,6),(18947,5),(18948,7),(18949,3),(18950,4),(18951,7),(18952,8),(18953,7),(18954,9),(18955,3),(18956,3),(18957,7),(18958,9),(18959,8),(18960,8),(18961,1),(18962,4),(18963,7),(18964,7),(18965,8),(18966,6),(18967,6),(18968,6),(18969,2),(18970,8),(18971,1),(18972,7),(18973,1),(18974,3),(18975,8),(18976,5),(18977,8),(18978,9),(18979,3),(18980,3),(18981,2),(18982,9),(18983,2),(18984,4),(18985,3),(18986,6),(18987,6),(18988,8),(18989,2),(18990,2),(18991,5),(18992,9),(18993,5),(18994,9),(18995,6),(18996,9),(18997,8),(18998,8),(18999,9),(19000,1),(19001,1),(19002,3),(19003,6),(19004,7),(19005,2),(19006,3),(19007,3),(19008,6),(19009,4),(19010,7),(19011,6),(19012,4),(19013,9),(19014,4),(19015,9),(19016,2),(19017,3),(19018,4),(19019,2),(19020,2),(19021,8),(19022,3),(19023,3),(19024,8),(19025,4),(19026,4),(19027,8),(19028,2),(19029,5),(19030,2),(19031,8),(19032,8),(19033,2),(19034,4),(19035,9),(19036,6),(19037,8),(19038,1),(19039,4),(19040,3),(19041,9),(19042,6),(19043,9),(19044,7),(19045,6),(19046,8),(19047,1),(19048,7),(19049,2),(19050,6),(19051,9),(19052,7),(19053,7),(19054,8),(19055,6),(19056,7),(19057,3),(19058,1),(19059,9),(19060,1),(19061,9),(19062,6),(19063,8),(19064,6),(19065,1),(19066,3),(19067,1),(19068,4),(19069,3),(19070,1),(19071,3),(19072,7),(19073,4),(19074,9),(19075,1),(19076,7),(19077,2),(19078,4),(19079,2),(19080,8),(19081,5),(19082,7),(19083,7),(19084,4),(19085,9),(19086,2),(19087,2),(19088,5),(19089,2),(19090,2),(19091,9),(19092,8),(19093,4),(19094,2),(19095,7),(19096,5),(19097,3),(19098,1),(19099,8),(19100,4),(19101,2),(19102,3),(19103,2),(19104,2),(19105,2),(19106,1),(19107,7),(19108,2),(19109,4),(19110,1),(19111,3),(19112,5),(19113,9),(19114,4),(19115,8),(19116,3),(19117,7),(19118,1),(19119,9),(19120,3),(19121,6),(19122,6),(19123,6),(19124,8),(19125,9),(19126,2),(19127,6),(19128,5),(19129,1),(19130,6),(19131,3),(19132,8),(19133,3),(19134,9),(19135,3),(19136,6),(19137,3),(19138,9),(19139,9),(19140,8),(19141,7),(19142,5),(19143,2),(19144,5),(19145,9),(19146,5),(19147,3),(19148,2),(19149,1),(19150,2),(19151,2),(19152,1),(19153,2),(19154,1),(19155,5),(19156,5),(19157,2),(19158,5),(19159,4),(19160,1),(19161,2),(19162,3),(19163,9),(19164,6),(19165,3),(19166,2),(19167,5),(19168,6),(19169,5),(19170,7),(19171,7),(19172,5),(19173,1),(19174,8),(19175,5),(19176,3),(19177,6),(19178,4),(19179,4),(19180,5),(19181,2),(19182,7),(19183,3),(19184,3),(19185,3),(19186,2),(19187,7),(19188,4),(19189,1),(19190,5),(19191,1),(19192,2),(19193,5),(19194,4),(19195,8),(19196,5),(19197,6),(19198,7),(19199,7),(19200,3),(19201,6),(19202,9),(19203,3),(19204,2),(19205,1),(19206,3),(19207,9),(19208,3),(19209,4),(19210,3),(19211,6),(19212,2),(19213,5),(19214,4),(19215,4),(19216,4),(19217,1),(19218,7),(19219,3),(19220,1),(19221,1),(19222,9),(19223,6),(19224,7),(19225,1),(19226,2),(19227,2),(19228,3),(19229,3),(19230,5),(19231,7),(19232,3),(19233,4),(19234,7),(19235,1),(19236,3),(19237,8),(19238,7),(19239,7),(19240,9),(19241,5),(19242,6),(19243,6),(19244,6),(19245,3),(19246,6),(19247,6),(19248,3),(19249,2),(19250,9),(19251,2),(19252,3),(19253,5),(19254,9),(19255,1),(19256,7),(19257,3),(19258,8),(19259,6),(19260,3),(19261,7),(19262,5),(19263,8),(19264,6),(19265,1),(19266,7),(19267,3),(19268,8),(19269,3),(19270,5),(19271,1),(19272,2),(19273,4),(19274,5),(19275,9),(19276,9),(19277,1),(19278,7),(19279,9),(19280,3),(19281,8),(19282,7),(19283,7),(19284,4),(19285,8),(19286,6),(19287,6),(19288,2),(19289,2),(19290,6),(19291,5),(19292,4),(19293,1),(19294,2),(19295,8),(19296,7),(19297,6),(19298,2),(19299,4),(19300,6),(19301,9),(19302,9),(19303,8),(19304,6),(19305,8),(19306,7),(19307,4),(19308,7),(19309,9),(19310,5),(19311,1),(19312,8),(19313,4),(19314,8),(19315,4),(19316,5),(19317,4),(19318,3),(19319,4),(19320,1),(19321,7),(19322,6),(19323,5),(19324,9),(19325,1),(19326,7),(19327,9),(19328,8),(19329,7),(19330,1),(19331,8),(19332,9),(19333,5),(19334,5),(19335,9),(19336,8),(19337,1),(19338,2),(19339,7),(19340,2),(19341,7),(19342,5),(19343,5),(19344,2),(19345,6),(19346,9),(19347,7),(19348,9),(19349,8),(19350,3),(19351,7),(19352,8),(19353,4),(19354,6),(19355,6),(19356,4),(19357,1),(19358,8),(19359,5),(19360,3),(19361,6),(19362,3),(19363,3),(19364,3),(19365,8),(19366,6),(19367,2),(19368,9),(19369,9),(19370,6),(19371,2),(19372,6),(19373,2),(19374,5),(19375,1),(19376,8),(19377,2),(19378,7),(19379,5),(19380,1),(19381,9),(19382,1),(19383,4),(19384,5),(19385,7),(19386,2),(19387,8),(19388,8),(19389,4),(19390,8),(19391,4),(19392,3),(19393,8),(19394,2),(19395,1),(19396,4),(19397,8),(19398,5),(19399,6),(19400,5),(19401,7),(19402,7),(19403,5),(19404,6),(19405,8),(19406,9),(19407,2),(19408,5),(19409,6),(19410,6),(19411,2),(19412,8),(19413,7),(19414,1),(19415,9),(19416,2),(19417,7),(19418,9),(19419,2),(19420,2),(19421,2),(19422,1),(19423,1),(19424,8),(19425,5),(19426,7),(19427,7),(19428,9),(19429,3),(19430,1),(19431,1),(19432,2),(19433,6),(19434,1),(19435,6),(19436,3),(19437,5),(19438,7),(19439,9),(19440,1),(19441,5),(19442,2),(19443,7),(19444,8),(19445,5),(19446,2),(19447,9),(19448,7),(19449,6),(19450,7),(19451,2),(19452,4),(19453,1),(19454,8),(19455,8),(19456,3),(19457,2),(19458,9),(19459,2),(19460,9),(19461,8),(19462,5),(19463,2),(19464,4),(19465,9),(19466,7),(19467,5),(19468,2),(19469,2),(19470,5),(19471,8),(19472,7),(19473,4),(19474,9),(19475,3),(19476,7),(19477,7),(19478,1),(19479,4),(19480,6),(19481,6),(19482,3),(19483,4),(19484,9),(19485,3),(19486,7),(19487,3),(19488,2),(19489,1),(19490,2),(19491,3),(19492,4),(19493,1),(19494,8),(19495,1),(19496,3),(19497,6),(19498,3),(19499,1),(19500,9),(19501,2),(19502,7),(19503,9),(19504,6),(19505,8),(19506,7),(19507,4),(19508,1),(19509,6),(19510,5),(19511,8),(19512,9),(19513,3),(19514,5),(19515,5),(19516,9),(19517,5),(19518,7),(19519,1),(19520,1),(19521,3),(19522,7),(19523,8),(19524,8),(19525,8),(19526,5),(19527,9),(19528,5),(19529,1),(19530,4),(19531,3),(19532,1),(19533,2),(19534,6),(19535,7),(19536,5),(19537,2),(19538,7),(19539,5),(19540,5),(19541,7),(19542,9),(19543,1),(19544,7),(19545,8),(19546,1),(19547,9),(19548,8),(19549,9),(19550,8),(19551,4),(19552,7),(19553,7),(19554,1),(19555,2),(19556,4),(19557,1),(19558,9),(19559,4),(19560,8),(19561,4),(19562,8),(19563,7),(19564,9),(19565,1),(19566,9),(19567,9),(19568,7),(19569,5),(19570,9),(19571,5),(19572,2),(19573,3),(19574,9),(19575,6),(19576,2),(19577,7),(19578,5),(19579,4),(19580,2),(19581,1),(19582,7),(19583,7),(19584,6),(19585,3),(19586,4),(19587,2),(19588,7),(19589,8),(19590,7),(19591,4),(19592,8),(19593,9),(19594,3),(19595,2),(19596,9),(19597,1),(19598,1),(19599,2),(19600,3),(19601,4),(19602,8),(19603,1),(19604,8),(19605,2),(19606,4),(19607,9),(19608,7),(19609,7),(19610,4),(19611,4),(19612,2),(19613,2),(19614,4),(19615,3),(19616,3),(19617,2),(19618,6),(19619,5),(19620,5),(19621,3),(19622,6),(19623,6),(19624,6),(19625,5),(19626,4),(19627,9),(19628,8),(19629,2),(19630,9),(19631,3),(19632,2),(19633,5),(19634,1),(19635,3),(19636,4),(19637,6),(19638,4),(19639,1),(19640,3),(19641,6),(19642,2),(19643,5),(19644,8),(19645,2),(19646,8),(19647,6),(19648,4),(19649,2),(19650,3),(19651,1),(19652,9),(19653,6),(19654,3),(19655,5),(19656,8),(19657,6),(19658,2),(19659,5),(19660,9),(19661,6),(19662,6),(19663,6),(19664,9),(19665,9),(19666,2),(19667,1),(19668,6),(19669,5),(19670,5),(19671,7),(19672,4),(19673,1),(19674,3),(19675,9),(19676,9),(19677,4),(19678,3),(19679,3),(19680,4),(19681,4),(19682,8),(19683,6),(19684,3),(19685,1),(19686,4),(19687,6),(19688,6),(19689,2),(19690,5),(19691,4),(19692,3),(19693,8),(19694,2),(19695,5),(19696,7),(19697,4),(19698,6),(19699,6),(19700,1),(19701,5),(19702,2),(19703,9),(19704,9),(19705,5),(19706,2),(19707,7),(19708,5),(19709,9),(19710,8),(19711,4),(19712,5),(19713,7),(19714,5),(19715,5),(19716,7),(19717,3),(19718,3),(19719,1),(19720,3),(19721,2),(19722,7),(19723,7),(19724,5),(19725,4),(19726,7),(19727,2),(19728,7),(19729,7),(19730,1),(19731,1),(19732,4),(19733,3),(19734,6),(19735,3),(19736,6),(19737,8),(19738,2),(19739,7),(19740,5),(19741,1),(19742,3),(19743,6),(19744,5),(19745,7),(19746,2),(19747,1),(19748,6),(19749,5),(19750,1),(19751,6),(19752,3),(19753,7),(19754,8),(19755,1),(19756,8),(19757,7),(19758,3),(19759,7),(19760,4),(19761,8),(19762,3),(19763,2),(19764,9),(19765,3),(19766,4),(19767,2),(19768,2),(19769,5),(19770,6),(19771,2),(19772,9),(19773,3),(19774,1),(19775,4),(19776,8),(19777,4),(19778,5),(19779,5),(19780,7),(19781,4),(19782,8),(19783,6),(19784,5),(19785,5),(19786,8),(19787,7),(19788,7),(19789,6),(19790,6),(19791,9),(19792,3),(19793,1),(19794,7),(19795,9),(19796,8),(19797,3),(19798,7),(19799,3),(19800,5),(19801,3),(19802,4),(19803,9),(19804,7),(19805,8),(19806,5),(19807,6),(19808,1),(19809,8),(19810,6),(19811,7),(19812,1),(19813,6),(19814,1),(19815,6),(19816,8),(19817,3),(19818,7),(19819,8),(19820,9),(19821,3),(19822,1),(19823,7),(19824,8),(19825,3),(19826,4),(19827,9),(19828,8),(19829,5),(19830,8),(19831,5),(19832,7),(19833,8),(19834,3),(19835,7),(19836,8),(19837,1),(19838,6),(19839,9),(19840,6),(19841,2),(19842,6),(19843,6),(19844,2),(19845,1),(19846,6),(19847,6),(19848,9),(19849,6),(19850,1),(19851,8),(19852,6),(19853,9),(19854,8),(19855,8),(19856,7),(19857,9),(19858,3),(19859,3),(19860,9),(19861,4),(19862,3),(19863,7),(19864,8),(19865,4),(19866,2),(19867,3),(19868,6),(19869,4),(19870,1),(19871,8),(19872,2),(19873,6),(19874,4),(19875,1),(19876,6),(19877,3),(19878,4),(19879,8),(19880,4),(19881,5),(19882,3),(19883,4),(19884,7),(19885,1),(19886,3),(19887,5),(19888,3),(19889,4),(19890,7),(19891,3),(19892,7),(19893,6),(19894,3),(19895,9),(19896,2),(19897,3),(19898,1),(19899,3),(19900,9),(19901,6),(19902,1),(19903,7),(19904,2),(19905,8),(19906,6),(19907,5),(19908,2),(19909,5),(19910,1),(19911,7),(19912,6),(19913,2),(19914,3),(19915,2),(19916,8),(19917,3),(19918,2),(19919,8),(19920,3),(19921,8),(19922,9),(19923,9),(19924,6),(19925,6),(19926,6),(19927,8),(19928,3),(19929,6),(19930,4),(19931,2),(19932,5),(19933,3),(19934,4),(19935,8),(19936,2),(19937,3),(19938,7),(19939,7),(19940,9),(19941,3),(19942,2),(19943,7),(19944,7),(19945,9),(19946,7),(19947,2),(19948,2),(19949,9),(19950,6),(19951,6),(19952,1),(19953,6),(19954,4),(19955,6),(19956,2),(19957,9),(19958,5),(19959,5),(19960,6),(19961,5),(19962,7),(19963,3),(19964,7),(19965,3),(19966,4),(19967,1),(19968,3),(19969,6),(19970,8),(19971,8),(19972,5),(19973,5),(19974,9),(19975,1),(19976,6),(19977,2),(19978,8),(19979,5),(19980,8),(19981,3),(19982,6),(19983,3),(19984,1),(19985,2),(19986,6),(19987,2),(19988,4),(19989,9),(19990,5),(19991,2),(19992,9),(19993,2),(19994,8),(19995,2),(19996,4),(19997,4),(19998,1),(19999,3),(20000,1),(20001,1),(20002,7),(20003,9),(20004,3),(20005,2),(20006,6),(20007,1),(20008,7),(20009,9),(20010,8),(20011,9),(20012,2),(20013,7),(20014,1),(20015,6),(20016,5),(20017,5),(20018,8),(20019,6),(20020,1),(20021,6),(20022,9),(20023,3),(20024,4),(20025,6),(20026,5),(20027,4),(20028,3),(20029,3),(20030,7),(20031,5),(20032,4),(20033,4),(20034,7),(20035,4),(20036,3),(20037,5),(20038,1),(20039,7),(20040,7),(20041,4),(20042,1),(20043,5),(20044,6),(20045,6),(20046,5),(20047,1),(20048,5),(20049,2),(20050,1),(20051,3),(20052,9),(20053,5),(20054,5),(20055,5),(20056,6),(20057,3),(20058,3),(20059,1),(20060,1),(20061,6),(20062,5),(20063,3),(20064,1),(20065,4),(20066,5),(20067,4),(20068,7),(20069,3),(20070,4),(20071,6),(20072,4),(20073,9),(20074,6),(20075,3),(20076,6),(20077,6),(20078,7),(20079,4),(20080,2),(20081,6),(20082,4),(20083,3),(20084,5),(20085,2),(20086,6),(20087,5),(20088,6),(20089,1),(20090,6),(20091,6),(20092,3),(20093,4),(20094,3),(20095,4),(20096,6),(20097,6),(20098,3),(20099,8),(20100,9),(20101,3),(20102,1),(20103,2),(20104,8),(20105,8),(20106,4),(20107,9),(20108,8),(20109,9),(20110,3),(20111,7),(20112,1),(20113,2),(20114,5),(20115,9),(20116,8),(20117,7),(20118,6),(20119,7),(20120,7),(20121,9),(20122,4),(20123,1),(20124,9),(20125,8),(20126,8),(20127,6),(20128,8),(20129,4),(20130,5),(20131,1),(20132,2),(20133,6),(20134,1),(20135,1),(20136,9),(20137,7),(20138,8),(20139,6),(20140,5),(20141,5),(20142,9),(20143,4),(20144,1),(20145,4),(20146,8),(20147,4),(20148,8),(20149,2),(20150,2),(20151,2),(20152,3),(20153,4),(20154,6),(20155,1),(20156,2),(20157,8),(20158,3),(20159,1),(20160,3),(20161,2),(20162,3),(20163,6),(20164,9),(20165,8),(20166,6),(20167,9),(20168,8),(20169,2),(20170,1),(20171,8),(20172,9),(20173,7),(20174,3),(20175,4),(20176,1),(20177,2),(20178,6),(20179,9),(20180,2),(20181,3),(20182,6),(20183,7),(20184,2),(20185,1),(20186,5),(20187,5),(20188,8),(20189,3),(20190,2),(20191,6),(20192,9),(20193,8),(20194,2),(20195,5),(20196,6),(20197,7),(20198,6),(20199,7),(20200,6),(20201,9),(20202,6),(20203,1),(20204,5),(20205,8),(20206,1),(20207,2),(20208,6),(20209,4),(20210,3),(20211,5),(20212,1),(20213,5),(20214,9),(20215,1),(20216,4),(20217,6),(20218,7),(20219,8),(20220,5),(20221,9),(20222,8),(20223,9),(20224,4),(20225,7),(20226,2),(20227,1),(20228,1),(20229,8),(20230,7),(20231,5),(20232,4),(20233,6),(20234,8),(20235,1),(20236,4),(20237,2),(20238,8),(20239,1),(20240,2),(20241,9),(20242,5),(20243,1),(20244,9),(20245,6),(20246,6),(20247,4),(20248,1),(20249,2),(20250,8),(20251,4),(20252,7),(20253,3),(20254,6),(20255,5),(20256,9),(20257,6),(20258,2),(20259,4),(20260,1),(20261,1),(20262,5),(20263,3),(20264,9),(20265,4),(20266,8),(20267,1),(20268,3),(20269,3),(20270,5),(20271,1),(20272,9),(20273,2),(20274,1),(20275,7),(20276,8),(20277,7),(20278,4),(20279,2),(20280,3),(20281,2),(20282,9),(20283,4),(20284,9),(20285,9),(20286,2),(20287,7),(20288,9),(20289,8),(20290,7),(20291,3),(20292,7),(20293,3),(20294,2),(20295,9),(20296,9),(20297,7),(20298,4),(20299,6),(20300,3),(20301,3),(20302,5),(20303,3),(20304,1),(20305,9),(20306,1),(20307,6),(20308,6),(20309,5),(20310,5),(20311,8),(20312,4),(20313,5),(20314,6),(20315,4),(20316,4),(20317,9),(20318,1),(20319,6),(20320,9),(20321,1),(20322,5),(20323,8),(20324,5),(20325,8),(20326,4),(20327,7),(20328,8),(20329,9),(20330,4),(20331,6),(20332,3),(20333,8),(20334,1),(20335,8),(20336,3),(20337,5),(20338,8),(20339,6),(20340,8),(20341,4),(20342,2),(20343,5),(20344,2),(20345,6),(20346,6),(20347,2),(20348,4),(20349,3),(20350,7),(20351,4),(20352,7),(20353,2),(20354,5),(20355,8),(20356,2),(20357,5),(20358,4),(20359,2),(20360,1),(20361,1),(20362,1),(20363,9),(20364,8),(20365,5),(20366,3),(20367,2),(20368,1),(20369,5),(20370,9),(20371,7),(20372,7),(20373,4),(20374,5),(20375,6),(20376,4),(20377,5),(20378,3),(20379,6),(20380,4),(20381,1),(20382,3),(20383,7),(20384,7),(20385,1),(20386,9),(20387,6),(20388,4),(20389,3),(20390,3),(20391,4),(20392,1),(20393,2),(20394,3),(20395,6),(20396,1),(20397,5),(20398,6),(20399,8),(20400,8),(20401,8),(20402,6),(20403,6),(20404,2),(20405,6),(20406,3),(20407,5),(20408,7),(20409,8),(20410,2),(20411,5),(20412,9),(20413,8),(20414,3),(20415,4),(20416,9),(20417,2),(20418,9),(20419,9),(20420,9),(20421,9),(20422,4),(20423,8),(20424,5),(20425,4),(20426,5),(20427,5),(20428,7),(20429,6),(20430,4),(20431,9),(20432,4),(20433,7),(20434,1),(20435,1),(20436,4),(20437,6),(20438,6),(20439,7),(20440,1),(20441,2),(20442,8),(20443,4),(20444,8),(20445,7),(20446,7),(20447,5),(20448,1),(20449,1),(20450,7),(20451,3),(20452,3),(20453,7),(20454,9),(20455,8),(20456,5),(20457,6),(20458,8),(20459,5),(20460,7),(20461,3),(20462,7),(20463,8),(20464,4),(20465,7),(20466,2),(20467,3),(20468,4),(20469,2),(20470,9),(20471,4),(20472,8),(20473,4),(20474,4),(20475,3),(20476,8),(20477,7),(20478,2),(20479,2),(20480,4),(20481,2),(20482,8),(20483,1),(20484,4),(20485,8),(20486,9),(20487,6),(20488,8),(20489,9),(20490,3),(20491,8),(20492,1),(20493,9),(20494,9),(20495,4),(20496,1),(20497,2),(20498,7),(20499,4),(20500,8),(20501,8),(20502,6),(20503,3),(20504,9),(20505,5),(20506,3),(20507,7),(20508,2),(20509,6),(20510,7),(20511,1),(20512,2),(20513,9),(20514,3),(20515,3),(20516,7),(20517,5),(20518,7),(20519,1),(20520,4),(20521,6),(20522,9),(20523,8),(20524,4),(20525,9),(20526,8),(20527,1),(20528,1),(20529,3),(20530,7),(20531,2),(20532,7),(20533,3),(20534,7),(20535,2),(20536,7),(20537,9),(20538,5),(20539,9),(20540,6),(20541,9),(20542,8),(20543,9),(20544,2),(20545,2),(20546,5),(20547,6),(20548,3),(20549,9),(20550,9),(20551,7),(20552,8),(20553,4),(20554,7),(20555,7),(20556,5),(20557,7),(20558,7),(20559,3),(20560,6),(20561,1),(20562,7),(20563,1),(20564,2),(20565,4),(20566,9),(20567,8),(20568,9),(20569,6),(20570,6),(20571,5),(20572,1),(20573,6),(20574,4),(20575,9),(20576,9),(20577,2),(20578,4),(20579,6),(20580,3),(20581,3),(20582,9),(20583,1),(20584,4),(20585,5),(20586,2),(20587,3),(20588,6),(20589,9),(20590,3),(20591,1),(20592,6),(20593,2),(20594,7),(20595,1),(20596,2),(20597,4),(20598,6),(20599,4),(20600,9),(20601,7),(20602,9),(20603,5),(20604,8),(20605,8),(20606,5),(20607,1),(20608,5),(20609,5),(20610,7),(20611,4),(20612,9),(20613,6),(20614,1),(20615,7),(20616,6),(20617,3),(20618,2),(20619,1),(20620,7),(20621,1),(20622,3),(20623,7),(20624,8),(20625,7),(20626,4),(20627,2),(20628,7),(20629,3),(20630,3),(20631,2),(20632,3),(20633,2),(20634,5),(20635,5),(20636,4),(20637,2),(20638,8),(20639,3),(20640,5),(20641,1),(20642,4),(20643,1),(20644,1),(20645,5),(20646,4),(20647,9),(20648,8),(20649,5),(20650,7),(20651,9),(20652,1),(20653,2),(20654,6),(20655,9),(20656,4),(20657,7),(20658,1),(20659,2),(20660,9),(20661,2),(20662,6),(20663,9),(20664,8),(20665,2),(20666,1),(20667,9),(20668,5),(20669,4),(20670,6),(20671,4),(20672,7),(20673,6),(20674,8),(20675,9),(20676,8),(20677,9),(20678,7),(20679,4),(20680,6),(20681,2),(20682,1),(20683,3),(20684,4),(20685,1),(20686,1),(20687,8),(20688,8),(20689,6),(20690,2),(20691,8),(20692,3),(20693,1),(20694,2),(20695,6),(20696,8),(20697,6),(20698,8),(20699,5),(20700,9),(20701,4),(20702,4),(20703,5),(20704,6),(20705,3),(20706,7),(20707,4),(20708,2),(20709,7),(20710,9),(20711,4),(20712,2),(20713,7),(20714,5),(20715,2),(20716,9),(20717,3),(20718,1),(20719,3),(20720,5),(20721,6),(20722,2),(20723,4),(20724,1),(20725,3),(20726,7),(20727,6),(20728,6),(20729,6),(20730,1),(20731,4),(20732,8),(20733,9),(20734,8),(20735,1),(20736,7),(20737,7),(20738,6),(20739,6),(20740,2),(20741,7),(20742,5),(20743,6),(20744,4),(20745,2),(20746,1),(20747,6),(20748,3),(20749,7),(20750,6),(20751,8),(20752,5),(20753,3),(20754,9),(20755,5),(20756,6),(20757,1),(20758,8),(20759,9),(20760,9),(20761,3),(20762,7),(20763,8),(20764,5),(20765,3),(20766,9),(20767,9),(20768,4),(20769,5),(20770,6),(20771,4),(20772,1),(20773,1),(20774,5),(20775,1),(20776,1),(20777,7),(20778,8),(20779,5),(20780,9),(20781,2),(20782,8),(20783,3),(20784,4),(20785,8),(20786,6),(20787,5),(20788,4),(20789,7),(20790,8),(20791,4),(20792,9),(20793,8),(20794,4),(20795,4),(20796,3),(20797,1),(20798,4),(20799,4),(20800,6),(20801,6),(20802,5),(20803,4),(20804,3),(20805,7),(20806,7),(20807,1),(20808,8),(20809,7),(20810,4),(20811,5),(20812,4),(20813,6),(20814,2),(20815,2),(20816,1),(20817,6),(20818,5),(20819,1),(20820,8),(20821,6),(20822,5),(20823,3),(20824,3),(20825,6),(20826,1),(20827,6),(20828,7),(20829,5),(20830,6),(20831,3),(20832,6),(20833,9),(20834,3),(20835,8),(20836,5),(20837,3),(20838,3),(20839,2),(20840,7),(20841,4),(20842,8),(20843,4),(20844,9),(20845,2),(20846,7),(20847,1),(20848,5),(20849,1),(20850,5),(20851,6),(20852,3),(20853,4),(20854,4),(20855,3),(20856,1),(20857,1),(20858,7),(20859,3),(20860,9),(20861,4),(20862,5),(20863,3),(20864,3),(20865,5),(20866,4),(20867,7),(20868,3),(20869,4),(20870,6),(20871,5),(20872,1),(20873,2),(20874,4),(20875,6),(20876,5),(20877,4),(20878,4),(20879,3),(20880,9),(20881,6),(20882,2),(20883,2),(20884,1),(20885,5),(20886,2),(20887,3),(20888,7),(20889,6),(20890,8),(20891,2),(20892,4),(20893,2),(20894,2),(20895,6),(20896,8),(20897,2),(20898,8),(20899,1),(20900,9),(20901,5),(20902,7),(20903,3),(20904,8),(20905,8),(20906,4),(20907,4),(20908,4),(20909,6),(20910,4),(20911,7),(20912,7),(20913,7),(20914,1),(20915,5),(20916,8),(20917,1),(20918,4),(20919,6),(20920,8),(20921,8),(20922,6),(20923,9),(20924,9),(20925,2),(20926,3),(20927,1),(20928,9),(20929,7),(20930,7),(20931,3),(20932,7),(20933,3),(20934,2),(20935,8),(20936,8),(20937,5),(20938,9),(20939,1),(20940,3),(20941,4),(20942,4),(20943,5),(20944,5),(20945,4),(20946,4),(20947,3),(20948,4),(20949,8),(20950,4),(20951,2),(20952,5),(20953,3),(20954,3),(20955,4),(20956,3),(20957,1),(20958,6),(20959,4),(20960,9),(20961,7),(20962,1),(20963,2),(20964,9),(20965,1),(20966,1),(20967,9),(20968,3),(20969,8),(20970,5),(20971,2),(20972,1),(20973,8),(20974,7),(20975,4),(20976,3),(20977,3),(20978,1),(20979,6),(20980,7),(20981,9),(20982,4),(20983,4),(20984,7),(20985,1),(20986,9),(20987,7),(20988,8),(20989,3),(20990,9),(20991,6),(20992,9),(20993,7),(20994,3),(20995,1),(20996,8),(20997,2),(20998,3),(20999,4),(21000,2),(21001,9),(21002,9),(21003,5),(21004,4),(21005,8),(21006,4),(21007,4),(21008,4),(21009,4),(21010,7),(21011,2),(21012,2),(21013,2),(21014,4),(21015,7),(21016,6),(21017,9),(21018,2),(21019,1),(21020,4),(21021,2),(21022,9),(21023,4),(21024,9),(21025,3),(21026,9),(21027,7),(21028,1),(21029,9),(21030,6),(21031,9),(21032,9),(21033,8),(21034,3),(21035,2),(21036,1),(21037,3),(21038,2),(21039,3),(21040,1),(21041,1),(21042,5),(21043,6),(21044,6),(21045,9),(21046,6),(21047,5),(21048,2),(21049,7),(21050,4),(21051,6),(21052,2),(21053,4),(21054,7),(21055,5),(21056,9),(21057,6),(21058,8),(21059,2),(21060,4),(21061,2),(21062,7),(21063,4),(21064,9),(21065,4),(21066,7),(21067,1),(21068,7),(21069,2),(21070,6),(21071,6),(21072,3),(21073,2),(21074,7),(21075,7),(21076,4),(21077,3),(21078,9),(21079,6),(21080,1),(21081,4),(21082,3),(21083,6),(21084,3),(21085,1),(21086,6),(21087,3),(21088,4),(21089,7),(21090,4),(21091,4),(21092,4),(21093,6),(21094,2),(21095,7),(21096,4),(21097,2),(21098,2),(21099,8),(21100,2),(21101,6),(21102,6),(21103,6),(21104,3),(21105,8),(21106,9),(21107,3),(21108,9),(21109,3),(21110,5),(21111,3),(21112,1),(21113,8),(21114,4),(21115,2),(21116,3),(21117,1),(21118,3),(21119,9),(21120,6),(21121,5),(21122,6),(21123,2),(21124,1),(21125,8),(21126,2),(21127,2),(21128,9),(21129,6),(21130,5),(21131,9),(21132,9),(21133,8),(21134,7),(21135,5),(21136,2),(21137,6),(21138,5),(21139,3),(21140,4),(21141,6),(21142,1),(21143,9),(21144,2),(21145,6),(21146,1),(21147,3),(21148,9),(21149,3),(21150,3),(21151,8),(21152,2),(21153,6),(21154,2),(21155,5),(21156,8),(21157,5),(21158,5),(21159,3),(21160,6),(21161,1),(21162,2),(21163,6),(21164,7),(21165,1),(21166,1),(21167,9),(21168,9),(21169,3),(21170,3),(21171,1),(21172,7),(21173,3),(21174,7),(21175,1),(21176,3),(21177,9),(21178,4),(21179,2),(21180,6),(21181,2),(21182,8),(21183,7),(21184,3),(21185,6),(21186,3),(21187,7),(21188,1),(21189,8),(21190,6),(21191,7),(21192,4),(21193,4),(21194,2),(21195,2),(21196,5),(21197,7),(21198,8),(21199,8),(21200,3),(21201,9),(21202,5),(21203,5),(21204,3),(21205,7),(21206,5),(21207,8),(21208,1),(21209,8),(21210,8),(21211,1),(21212,8),(21213,6),(21214,9),(21215,5),(21216,7),(21217,5),(21218,3),(21219,4),(21220,6),(21221,3),(21222,3),(21223,1),(21224,6),(21225,6),(21226,3),(21227,7),(21228,8),(21229,2),(21230,7),(21231,6),(21232,5),(21233,8),(21234,8),(21235,7),(21236,4),(21237,5),(21238,7),(21239,9),(21240,6),(21241,6),(21242,1),(21243,3),(21244,9),(21245,1),(21246,3),(21247,7),(21248,6),(21249,5),(21250,4),(21251,5),(21252,4),(21253,1),(21254,4),(21255,8),(21256,1),(21257,9),(21258,5),(21259,1),(21260,3),(21261,6),(21262,6),(21263,1),(21264,4),(21265,5),(21266,6),(21267,2),(21268,6),(21269,4),(21270,7),(21271,1),(21272,9),(21273,8),(21274,7),(21275,1),(21276,3),(21277,9),(21278,1),(21279,4),(21280,4),(21281,5),(21282,7),(21283,1),(21284,3),(21285,3),(21286,5),(21287,3),(21288,6),(21289,1),(21290,4),(21291,2),(21292,1),(21293,4),(21294,1),(21295,3),(21296,8),(21297,8),(21298,8),(21299,6),(21300,7),(21301,5),(21302,8),(21303,3),(21304,6),(21305,2),(21306,2),(21307,9),(21308,4),(21309,6),(21310,7),(21311,3),(21312,7),(21313,7),(21314,5),(21315,6),(21316,9),(21317,3),(21318,1),(21319,4),(21320,9),(21321,1),(21322,8),(21323,8),(21324,8),(21325,5),(21326,8),(21327,2),(21328,6),(21329,8),(21330,5),(21331,6),(21332,2),(21333,3),(21334,7),(21335,1),(21336,1),(21337,5),(21338,5),(21339,8),(21340,9),(21341,5),(21342,6),(21343,1),(21344,3),(21345,2),(21346,5),(21347,8),(21348,5),(21349,8),(21350,9),(21351,1),(21352,8),(21353,8),(21354,2),(21355,9),(21356,4),(21357,1),(21358,3),(21359,2),(21360,6),(21361,6),(21362,4),(21363,4),(21364,1),(21365,7),(21366,3),(21367,2),(21368,9),(21369,9),(21370,1),(21371,9),(21372,8),(21373,9),(21374,6),(21375,5),(21376,9),(21377,1),(21378,5),(21379,9),(21380,4),(21381,4),(21382,1),(21383,2),(21384,8),(21385,5),(21386,6),(21387,6),(21388,1),(21389,3),(21390,2),(21391,7),(21392,3),(21393,9),(21394,3),(21395,1),(21396,1),(21397,1),(21398,1),(21399,6),(21400,3),(21401,6),(21402,7),(21403,4),(21404,2),(21405,5),(21406,6),(21407,3),(21408,8),(21409,2),(21410,7),(21411,8),(21412,1),(21413,4),(21414,7),(21415,1),(21416,3),(21417,6),(21418,7),(21419,1),(21420,9),(21421,4),(21422,1),(21423,1),(21424,8),(21425,2),(21426,7),(21427,5),(21428,6),(21429,8),(21430,5),(21431,9),(21432,1),(21433,5),(21434,1),(21435,1),(21436,8),(21437,4),(21438,7),(21439,8),(21440,5),(21441,1),(21442,8),(21443,7),(21444,3),(21445,2),(21446,2),(21447,4),(21448,6),(21449,5),(21450,7),(21451,4),(21452,2),(21453,2),(21454,7),(21455,8),(21456,2),(21457,9),(21458,7),(21459,4),(21460,2),(21461,6),(21462,1),(21463,1),(21464,1),(21465,9),(21466,7),(21467,5),(21468,1),(21469,5),(21470,3),(21471,5),(21472,9),(21473,6),(21474,4),(21475,2),(21476,8),(21477,5),(21478,6),(21479,8),(21480,1),(21481,2),(21482,7),(21483,8),(21484,9),(21485,8),(21486,1),(21487,1),(21488,5),(21489,4),(21490,2),(21491,2),(21492,9),(21493,7),(21494,4),(21495,9),(21496,7),(21497,5),(21498,9),(21499,9),(21500,1),(21501,2),(21502,9),(21503,4),(21504,3),(21505,9),(21506,6),(21507,5),(21508,1),(21509,4),(21510,4),(21511,7),(21512,4),(21513,2),(21514,7),(21515,3),(21516,7),(21517,8),(21518,8),(21519,9),(21520,9),(21521,9),(21522,6),(21523,3),(21524,9),(21525,6),(21526,5),(21527,3),(21528,4),(21529,8),(21530,9),(21531,7),(21532,3),(21533,6),(21534,7),(21535,6),(21536,3),(21537,6),(21538,9),(21539,1),(21540,4),(21541,8),(21542,3),(21543,3),(21544,1),(21545,5),(21546,2),(21547,8),(21548,6),(21549,7),(21550,3),(21551,8),(21552,7),(21553,2),(21554,3),(21555,9),(21556,4),(21557,8),(21558,8),(21559,3),(21560,3),(21561,5),(21562,7),(21563,5),(21564,6),(21565,8),(21566,3),(21567,2),(21568,5),(21569,3),(21570,7),(21571,5),(21572,6),(21573,8),(21574,2),(21575,9),(21576,7),(21577,5),(21578,9),(21579,4),(21580,2),(21581,6),(21582,5),(21583,4),(21584,8),(21585,4),(21586,3),(21587,2),(21588,9),(21589,9),(21590,9),(21591,8),(21592,1),(21593,8),(21594,8),(21595,3),(21596,4),(21597,1),(21598,3),(21599,8),(21600,8),(21601,9),(21602,4),(21603,9),(21604,9),(21605,7),(21606,8),(21607,6),(21608,6),(21609,3),(21610,1),(21611,2),(21612,6),(21613,5),(21614,3),(21615,9),(21616,5),(21617,9),(21618,8),(21619,3),(21620,5),(21621,5),(21622,4),(21623,5),(21624,2),(21625,9),(21626,3),(21627,6),(21628,3),(21629,1),(21630,2),(21631,3),(21632,3),(21633,5),(21634,3),(21635,2),(21636,7),(21637,1),(21638,6),(21639,9),(21640,2),(21641,9),(21642,9),(21643,2),(21644,5),(21645,9),(21646,6),(21647,4),(21648,1),(21649,1),(21650,7),(21651,9),(21652,4),(21653,5),(21654,4),(21655,3),(21656,4),(21657,5),(21658,7),(21659,8),(21660,9),(21661,4),(21662,9),(21663,7),(21664,9),(21665,3),(21666,6),(21667,5),(21668,2),(21669,6),(21670,9),(21671,5),(21672,8),(21673,8),(21674,5),(21675,6),(21676,4),(21677,8),(21678,1),(21679,2),(21680,8),(21681,9),(21682,8),(21683,2),(21684,4),(21685,3),(21686,8),(21687,5),(21688,7),(21689,5),(21690,1),(21691,9),(21692,5),(21693,1),(21694,7),(21695,1),(21696,3),(21697,7),(21698,8),(21699,5),(21700,1),(21701,8),(21702,7),(21703,8),(21704,5),(21705,4),(21706,2),(21707,7),(21708,8),(21709,8),(21710,4),(21711,4),(21712,7),(21713,6),(21714,2),(21715,6),(21716,2),(21717,2),(21718,2),(21719,2),(21720,1),(21721,7),(21722,2),(21723,1),(21724,6),(21725,1),(21726,7),(21727,9),(21728,9),(21729,5),(21730,2),(21731,6),(21732,1),(21733,8),(21734,7),(21735,6),(21736,2),(21737,2),(21738,2),(21739,8),(21740,6),(21741,8),(21742,9),(21743,1),(21744,9),(21745,6),(21746,4),(21747,8),(21748,4),(21749,7),(21750,6),(21751,4),(21752,1),(21753,2),(21754,7),(21755,9),(21756,2),(21757,6),(21758,1),(21759,9),(21760,5),(21761,2),(21762,1),(21763,3),(21764,8),(21765,3),(21766,4),(21767,5),(21768,2),(21769,7),(21770,3),(21771,9),(21772,5),(21773,3),(21774,2),(21775,1),(21776,8),(21777,2),(21778,5),(21779,4),(21780,6),(21781,3),(21782,2),(21783,2),(21784,6),(21785,4),(21786,7),(21787,6),(21788,5),(21789,8),(21790,9),(21791,1),(21792,2),(21793,8),(21794,4),(21795,5),(21796,2),(21797,6),(21798,1),(21799,4),(21800,9),(21801,8),(21802,6),(21803,5),(21804,6),(21805,3),(21806,5),(21807,1),(21808,9),(21809,4),(21810,9),(21811,2),(21812,1),(21813,2),(21814,1),(21815,8),(21816,7),(21817,9),(21818,7),(21819,4),(21820,9),(21821,4),(21822,2),(21823,3),(21824,8),(21825,7),(21826,8),(21827,6),(21828,4),(21829,1),(21830,7),(21831,4),(21832,5),(21833,2),(21834,1),(21835,1),(21836,6),(21837,9),(21838,7),(21839,2),(21840,7),(21841,4),(21842,2),(21843,1),(21844,8),(21845,6),(21846,5),(21847,9),(21848,5),(21849,3),(21850,7),(21851,9),(21852,8),(21853,2),(21854,5),(21855,6),(21856,7),(21857,8),(21858,4),(21859,1),(21860,8),(21861,2),(21862,4),(21863,6),(21864,5),(21865,6),(21866,6),(21867,3),(21868,5),(21869,8),(21870,2),(21871,4),(21872,9),(21873,3),(21874,3),(21875,4),(21876,1),(21877,6),(21878,9),(21879,3),(21880,8),(21881,3),(21882,3),(21883,4),(21884,5),(21885,5),(21886,8),(21887,3),(21888,4),(21889,6),(21890,4),(21891,2),(21892,2),(21893,2),(21894,2),(21895,4),(21896,5),(21897,9),(21898,2),(21899,2),(21900,5),(21901,5),(21902,8),(21903,8),(21904,5),(21905,9),(21906,8),(21907,8),(21908,4),(21909,7),(21910,4),(21911,4),(21912,4),(21913,2),(21914,2),(21915,4),(21916,3),(21917,8),(21918,6),(21919,9),(21920,4),(21921,8),(21922,2),(21923,5),(21924,5),(21925,6),(21926,3),(21927,7),(21928,2),(21929,8),(21930,9),(21931,8),(21932,6),(21933,8),(21934,6),(21935,3),(21936,5),(21937,8),(21938,7),(21939,5),(21940,5),(21941,8),(21942,2),(21943,2),(21944,5),(21945,6),(21946,4),(21947,5),(21948,8),(21949,1),(21950,3),(21951,2),(21952,7),(21953,8),(21954,2),(21955,1),(21956,1),(21957,1),(21958,7),(21959,2),(21960,4),(21961,1),(21962,6),(21963,4),(21964,2),(21965,2),(21966,9),(21967,6),(21968,4),(21969,3),(21970,2),(21971,1),(21972,5),(21973,5),(21974,1),(21975,7),(21976,9),(21977,5),(21978,1),(21979,1),(21980,6),(21981,2),(21982,3),(21983,5),(21984,8),(21985,9),(21986,1),(21987,9),(21988,8),(21989,3),(21990,7),(21991,2),(21992,7),(21993,4),(21994,9),(21995,4),(21996,9),(21997,3),(21998,8),(21999,9),(22000,8),(22001,1),(22002,3),(22003,6),(22004,5),(22005,6),(22006,4),(22007,4),(22008,2),(22009,3),(22010,5),(22011,2),(22012,8),(22013,4),(22014,4),(22015,3),(22016,6),(22017,9),(22018,3),(22019,4),(22020,5),(22021,2),(22022,4),(22023,9),(22024,2),(22025,6),(22026,4),(22027,5),(22028,9),(22029,3),(22030,9),(22031,3),(22032,2),(22033,2),(22034,7),(22035,7),(22036,3),(22037,6),(22038,1),(22039,3),(22040,8),(22041,6),(22042,7),(22043,5),(22044,1),(22045,8),(22046,4),(22047,1),(22048,9),(22049,5),(22050,6),(22051,9),(22052,5),(22053,6),(22054,8),(22055,7),(22056,6),(22057,8),(22058,6),(22059,5),(22060,3),(22061,8),(22062,8),(22063,5),(22064,5),(22065,7),(22066,3),(22067,4),(22068,5),(22069,2),(22070,7),(22071,9),(22072,4),(22073,6),(22074,2),(22075,6),(22076,4),(22077,1),(22078,3),(22079,7),(22080,8),(22081,1),(22082,8),(22083,2),(22084,2),(22085,8),(22086,9),(22087,7),(22088,6),(22089,4),(22090,2),(22091,8),(22092,6),(22093,6),(22094,8),(22095,7),(22096,8),(22097,9),(22098,5),(22099,6),(22100,8),(22101,7),(22102,9),(22103,3),(22104,1),(22105,1),(22106,5),(22107,5),(22108,7),(22109,1),(22110,7),(22111,5),(22112,1),(22113,9),(22114,5),(22115,1),(22116,4),(22117,5),(22118,3),(22119,6),(22120,4),(22121,9),(22122,1),(22123,6),(22124,7),(22125,6),(22126,3),(22127,7),(22128,5),(22129,1),(22130,7),(22131,2),(22132,9),(22133,2),(22134,1),(22135,6),(22136,7),(22137,6),(22138,4),(22139,7),(22140,3),(22141,6),(22142,6),(22143,4),(22144,7),(22145,7),(22146,5),(22147,4),(22148,3),(22149,5),(22150,3),(22151,9),(22152,9),(22153,1),(22154,1),(22155,3),(22156,1),(22157,5),(22158,7),(22159,3),(22160,8),(22161,9),(22162,9),(22163,2),(22164,4),(22165,9),(22166,2),(22167,9),(22168,5),(22169,2),(22170,2),(22171,2),(22172,8),(22173,8),(22174,7),(22175,8),(22176,5),(22177,3),(22178,6),(22179,6),(22180,4),(22181,6),(22182,9),(22183,6),(22184,8),(22185,5),(22186,3),(22187,8),(22188,2),(22189,8),(22190,4),(22191,2),(22192,1),(22193,3),(22194,8),(22195,4),(22196,9),(22197,6),(22198,8),(22199,2),(22200,1),(22201,2),(22202,3),(22203,1),(22204,5),(22205,3),(22206,2),(22207,1),(22208,8),(22209,1),(22210,6),(22211,4),(22212,1),(22213,1),(22214,8),(22215,9),(22216,6),(22217,5),(22218,2),(22219,8),(22220,3),(22221,1),(22222,4),(22223,7),(22224,9),(22225,1),(22226,6),(22227,2),(22228,3),(22229,1),(22230,9),(22231,8),(22232,7),(22233,5),(22234,8),(22235,7),(22236,4),(22237,8),(22238,3),(22239,3),(22240,7),(22241,2),(22242,4),(22243,7),(22244,3),(22245,5),(22246,8),(22247,3),(22248,3),(22249,7),(22250,3),(22251,5),(22252,6),(22253,6),(22254,3),(22255,4),(22256,6),(22257,3),(22258,3),(22259,3),(22260,3),(22261,7),(22262,3),(22263,3),(22264,2),(22265,3),(22266,2),(22267,6),(22268,3),(22269,8),(22270,5),(22271,9),(22272,8),(22273,9),(22274,6),(22275,4),(22276,5),(22277,3),(22278,9),(22279,9),(22280,8),(22281,9),(22282,8),(22283,7),(22284,4),(22285,3),(22286,9),(22287,5),(22288,4),(22289,8),(22290,4),(22291,2),(22292,4),(22293,4),(22294,9),(22295,8),(22296,7),(22297,1),(22298,3),(22299,4),(22300,7),(22301,3),(22302,3),(22303,6),(22304,3),(22305,7),(22306,9),(22307,9),(22308,4),(22309,9),(22310,1),(22311,4),(22312,4),(22313,5),(22314,2),(22315,3),(22316,9),(22317,3),(22318,9),(22319,6),(22320,3),(22321,8),(22322,1),(22323,8),(22324,9),(22325,7),(22326,7),(22327,4),(22328,6),(22329,7),(22330,1),(22331,8),(22332,1),(22333,4),(22334,3),(22335,3),(22336,9),(22337,6),(22338,8),(22339,9),(22340,7),(22341,7),(22342,4),(22343,8),(22344,8),(22345,1),(22346,6),(22347,9),(22348,9),(22349,7),(22350,1),(22351,7),(22352,6),(22353,6),(22354,3),(22355,6),(22356,7),(22357,8),(22358,2),(22359,1),(22360,3),(22361,1),(22362,7),(22363,1),(22364,9),(22365,8),(22366,6),(22367,6),(22368,2),(22369,3),(22370,7),(22371,6),(22372,3),(22373,8),(22374,6),(22375,4),(22376,6),(22377,3),(22378,6),(22379,5),(22380,8),(22381,6),(22382,8),(22383,2),(22384,1),(22385,9),(22386,4),(22387,1),(22388,9),(22389,3),(22390,3),(22391,2),(22392,1),(22393,5),(22394,1),(22395,5),(22396,3),(22397,9),(22398,3),(22399,6),(22400,7),(22401,1),(22402,4),(22403,8),(22404,4),(22405,2),(22406,5),(22407,3),(22408,5),(22409,9),(22410,5),(22411,1),(22412,6),(22413,9),(22414,3),(22415,3),(22416,8),(22417,4),(22418,5),(22419,6),(22420,5),(22421,3),(22422,9),(22423,5),(22424,7),(22425,5),(22426,1),(22427,1),(22428,8),(22429,6),(22430,6),(22431,7),(22432,6),(22433,7),(22434,5),(22435,1),(22436,6),(22437,6),(22438,6),(22439,8),(22440,9),(22441,8),(22442,1),(22443,9),(22444,8),(22445,2),(22446,1),(22447,4),(22448,6),(22449,6),(22450,3),(22451,7),(22452,2),(22453,5),(22454,6),(22455,8),(22456,6),(22457,8),(22458,7),(22459,8),(22460,8),(22461,3),(22462,2),(22463,6),(22464,7),(22465,9),(22466,6),(22467,2),(22468,6),(22469,3),(22470,5),(22471,6),(22472,8),(22473,9),(22474,8),(22475,6),(22476,3),(22477,7),(22478,9),(22479,2),(22480,8),(22481,5),(22482,7),(22483,1),(22484,5),(22485,8),(22486,9),(22487,8),(22488,4),(22489,8),(22490,1),(22491,3),(22492,3),(22493,7),(22494,4),(22495,4),(22496,3),(22497,5),(22498,3),(22499,6),(22500,8),(22501,8),(22502,8),(22503,4),(22504,3),(22505,2),(22506,6),(22507,1),(22508,1),(22509,8),(22510,8),(22511,6),(22512,8),(22513,1),(22514,8),(22515,3),(22516,9),(22517,5),(22518,4),(22519,7),(22520,8),(22521,2),(22522,1),(22523,3),(22524,2),(22525,7),(22526,8),(22527,8),(22528,8),(22529,7),(22530,5),(22531,8),(22532,9),(22533,8),(22534,3),(22535,8),(22536,7),(22537,9),(22538,5),(22539,9),(22540,5),(22541,7),(22542,5),(22543,1),(22544,7),(22545,1),(22546,6),(22547,4),(22548,8),(22549,1),(22550,5),(22551,4),(22552,8),(22553,9),(22554,5),(22555,4),(22556,5),(22557,7),(22558,1),(22559,6),(22560,4),(22561,3),(22562,8),(22563,6),(22564,7),(22565,3),(22566,7),(22567,2),(22568,4),(22569,9),(22570,1),(22571,5),(22572,6),(22573,6),(22574,7),(22575,5),(22576,6),(22577,8),(22578,9),(22579,3),(22580,8),(22581,5),(22582,7),(22583,4),(22584,8),(22585,8),(22586,5),(22587,1),(22588,3),(22589,4),(22590,5),(22591,3),(22592,4),(22593,8),(22594,8),(22595,6),(22596,6),(22597,3),(22598,4),(22599,8),(22600,4),(22601,3),(22602,5),(22603,5),(22604,1),(22605,1),(22606,9),(22607,2),(22608,2),(22609,1),(22610,9),(22611,2),(22612,1),(22613,5),(22614,3),(22615,9),(22616,2),(22617,1),(22618,8),(22619,2),(22620,5),(22621,4),(22622,9),(22623,1),(22624,8),(22625,8),(22626,7),(22627,5),(22628,8),(22629,2),(22630,2),(22631,3),(22632,3),(22633,1),(22634,8),(22635,1),(22636,4),(22637,2),(22638,6),(22639,6),(22640,9),(22641,1),(22642,4),(22643,8),(22644,6),(22645,6),(22646,8),(22647,5),(22648,2),(22649,3),(22650,7),(22651,9),(22652,4),(22653,7),(22654,7),(22655,9),(22656,9),(22657,6),(22658,7),(22659,9),(22660,5),(22661,4),(22662,1),(22663,5),(22664,7),(22665,9),(22666,6),(22667,4),(22668,2),(22669,5),(22670,2),(22671,9),(22672,5),(22673,3),(22674,2),(22675,1),(22676,2),(22677,4),(22678,6),(22679,5),(22680,5),(22681,9),(22682,8),(22683,2),(22684,4),(22685,7),(22686,7),(22687,4),(22688,8),(22689,7),(22690,4),(22691,8),(22692,4),(22693,2),(22694,5),(22695,2),(22696,3),(22697,9),(22698,3),(22699,9),(22700,8),(22701,5),(22702,5),(22703,8),(22704,2),(22705,8),(22706,2),(22707,6),(22708,8),(22709,2),(22710,8),(22711,6),(22712,8),(22713,4),(22714,7),(22715,2),(22716,3),(22717,2),(22718,8),(22719,4),(22720,3),(22721,6),(22722,5),(22723,2),(22724,9),(22725,2),(22726,7),(22727,5),(22728,5),(22729,9),(22730,6),(22731,1),(22732,5),(22733,8),(22734,8),(22735,5),(22736,6),(22737,3),(22738,4),(22739,7),(22740,4),(22741,5),(22742,4),(22743,8),(22744,5),(22745,6),(22746,8),(22747,5),(22748,7),(22749,7),(22750,7),(22751,5),(22752,8),(22753,2),(22754,6),(22755,5),(22756,2),(22757,8),(22758,1),(22759,4),(22760,7),(22761,7),(22762,8),(22763,5),(22764,2),(22765,7),(22766,2),(22767,5),(22768,5),(22769,9),(22770,6),(22771,2),(22772,7),(22773,3),(22774,3),(22775,4),(22776,6),(22777,9),(22778,9),(22779,8),(22780,9),(22781,2),(22782,2),(22783,4),(22784,4),(22785,5),(22786,5),(22787,6),(22788,3),(22789,6),(22790,5),(22791,7),(22792,7),(22793,4),(22794,5),(22795,5),(22796,4),(22797,7),(22798,3),(22799,6),(22800,1),(22801,2),(22802,7),(22803,3),(22804,4),(22805,8),(22806,6),(22807,6),(22808,6),(22809,2),(22810,5),(22811,2),(22812,8),(22813,5),(22814,1),(22815,8),(22816,2),(22817,6),(22818,5),(22819,7),(22820,6),(22821,6),(22822,8),(22823,9),(22824,2),(22825,7),(22826,2),(22827,2),(22828,9),(22829,8),(22830,4),(22831,9),(22832,3),(22833,7),(22834,6),(22835,3),(22836,4),(22837,3),(22838,5),(22839,2),(22840,6),(22841,5),(22842,6),(22843,5),(22844,6),(22845,4),(22846,6),(22847,4),(22848,3),(22849,1),(22850,3),(22851,6),(22852,1),(22853,8),(22854,2),(22855,2),(22856,2),(22857,9),(22858,5),(22859,1),(22860,3),(22861,9),(22862,4),(22863,4),(22864,4),(22865,7),(22866,6),(22867,9),(22868,4),(22869,8),(22870,8),(22871,8),(22872,5),(22873,1),(22874,6),(22875,8),(22876,8),(22877,1),(22878,4),(22879,6),(22880,3),(22881,5),(22882,2),(22883,8),(22884,6),(22885,3),(22886,4),(22887,2),(22888,1),(22889,2),(22890,1),(22891,7),(22892,9),(22893,4),(22894,7),(22895,4),(22896,9),(22897,7),(22898,1),(22899,9),(22900,1),(22901,1),(22902,5),(22903,8),(22904,8),(22905,5),(22906,7),(22907,7),(22908,2),(22909,2),(22910,8),(22911,1),(22912,6),(22913,2),(22914,7),(22915,6),(22916,9),(22917,1),(22918,5),(22919,1),(22920,8),(22921,9),(22922,3),(22923,9),(22924,1),(22925,5),(22926,2),(22927,5),(22928,6),(22929,4),(22930,6),(22931,6),(22932,8),(22933,6),(22934,3),(22935,4),(22936,6),(22937,1),(22938,9),(22939,6),(22940,8),(22941,1),(22942,3),(22943,5),(22944,5),(22945,4),(22946,5),(22947,1),(22948,9),(22949,6),(22950,6),(22951,6),(22952,1),(22953,4),(22954,3),(22955,3),(22956,9),(22957,2),(22958,5),(22959,3),(22960,4),(22961,4),(22962,3),(22963,4),(22964,4),(22965,7),(22966,8),(22967,2),(22968,9),(22969,7),(22970,7),(22971,9),(22972,8),(22973,2),(22974,2),(22975,3),(22976,4),(22977,5),(22978,8),(22979,6),(22980,7),(22981,8),(22982,6),(22983,5),(22984,9),(22985,5),(22986,5),(22987,8),(22988,1),(22989,6),(22990,7),(22991,4),(22992,2),(22993,8),(22994,4),(22995,8),(22996,8),(22997,6),(22998,4),(22999,1),(23000,6),(23001,2),(23002,2),(23003,8),(23004,6),(23005,9),(23006,2),(23007,8),(23008,9),(23009,2),(23010,2),(23011,1),(23012,1),(23013,8),(23014,1),(23015,1),(23016,7),(23017,8),(23018,5),(23019,6),(23020,4),(23021,2),(23022,4),(23023,6),(23024,3),(23025,8),(23026,2),(23027,6),(23028,4),(23029,3),(23030,9),(23031,8),(23032,5),(23033,2),(23034,1),(23035,2),(23036,2),(23037,3),(23038,8),(23039,2),(23040,6),(23041,2),(23042,6),(23043,2),(23044,4),(23045,5),(23046,8),(23047,8),(23048,6),(23049,9),(23050,2),(23051,4),(23052,4),(23053,9),(23054,4),(23055,6),(23056,5),(23057,3),(23058,4),(23059,4),(23060,5),(23061,7),(23062,3),(23063,9),(23064,7),(23065,8),(23066,3),(23067,7),(23068,7),(23069,2),(23070,8),(23071,4),(23072,6),(23073,7),(23074,9),(23075,7),(23076,1),(23077,2),(23078,5),(23079,6),(23080,8),(23081,7),(23082,5),(23083,9),(23084,7),(23085,4),(23086,4),(23087,2),(23088,6),(23089,7),(23090,5),(23091,6),(23092,7),(23093,9),(23094,8),(23095,6),(23096,1),(23097,3),(23098,8),(23099,9),(23100,5),(23101,4),(23102,2),(23103,2),(23104,2),(23105,8),(23106,7),(23107,7),(23108,7),(23109,1),(23110,6),(23111,5),(23112,3),(23113,5),(23114,3),(23115,4),(23116,5),(23117,8),(23118,5),(23119,5),(23120,9),(23121,4),(23122,7),(23123,1),(23124,5),(23125,8),(23126,4),(23127,1),(23128,5),(23129,2),(23130,6),(23131,6),(23132,9),(23133,9),(23134,3),(23135,5),(23136,7),(23137,5),(23138,9),(23139,7),(23140,4),(23141,1),(23142,8),(23143,9),(23144,7),(23145,5),(23146,5),(23147,4),(23148,9),(23149,5),(23150,8),(23151,1),(23152,5),(23153,8),(23154,8),(23155,7),(23156,8),(23157,1),(23158,9),(23159,5),(23160,7),(23161,2),(23162,1),(23163,1),(23164,2),(23165,3),(23166,5),(23167,4),(23168,8),(23169,5),(23170,8),(23171,1),(23172,4),(23173,9),(23174,5),(23175,5),(23176,1),(23177,2),(23178,3),(23179,8),(23180,9),(23181,6),(23182,4),(23183,1),(23184,7),(23185,8),(23186,2),(23187,2),(23188,5),(23189,4),(23190,3),(23191,3),(23192,8),(23193,5),(23194,2),(23195,3),(23196,1),(23197,3),(23198,9),(23199,9),(23200,3),(23201,9),(23202,6),(23203,1),(23204,7),(23205,9),(23206,7),(23207,5),(23208,9),(23209,3),(23210,7),(23211,8),(23212,5),(23213,9),(23214,7),(23215,1),(23216,5),(23217,7),(23218,1),(23219,3),(23220,3),(23221,5),(23222,9),(23223,1),(23224,3),(23225,9),(23226,5),(23227,5),(23228,5),(23229,8),(23230,4),(23231,2),(23232,3),(23233,4),(23234,7),(23235,2),(23236,3),(23237,7),(23238,5),(23239,9),(23240,5),(23241,9),(23242,7),(23243,3),(23244,3),(23245,5),(23246,6),(23247,4),(23248,8),(23249,3),(23250,4),(23251,3),(23252,3),(23253,8),(23254,9),(23255,7),(23256,6),(23257,4),(23258,1),(23259,5),(23260,3),(23261,4),(23262,4),(23263,3),(23264,8),(23265,6),(23266,6),(23267,3),(23268,3),(23269,6),(23270,2),(23271,7),(23272,8),(23273,1),(23274,6),(23275,6),(23276,6),(23277,7),(23278,7),(23279,3),(23280,1),(23281,1),(23282,5),(23283,7),(23284,8),(23285,9),(23286,8),(23287,4),(23288,7),(23289,3),(23290,4),(23291,8),(23292,1),(23293,4),(23294,6),(23295,7),(23296,6),(23297,8),(23298,3),(23299,2),(23300,1),(23301,3),(23302,7),(23303,7),(23304,8),(23305,7),(23306,7),(23307,3),(23308,9),(23309,9),(23310,4),(23311,4),(23312,9),(23313,1),(23314,8),(23315,1),(23316,9),(23317,9),(23318,7),(23319,1),(23320,4),(23321,8),(23322,1),(23323,9),(23324,4),(23325,3),(23326,9),(23327,2),(23328,1),(23329,7),(23330,6),(23331,1),(23332,6),(23333,5),(23334,5),(23335,1),(23336,5),(23337,6),(23338,7),(23339,1),(23340,5),(23341,5),(23342,5),(23343,4),(23344,5),(23345,8),(23346,3),(23347,5),(23348,8),(23349,6),(23350,7),(23351,7),(23352,3),(23353,5),(23354,8),(23355,7),(23356,2),(23357,2),(23358,2),(23359,6),(23360,9),(23361,2),(23362,7),(23363,3),(23364,3),(23365,5),(23366,8),(23367,6),(23368,4),(23369,7),(23370,1),(23371,7),(23372,2),(23373,8),(23374,5),(23375,7),(23376,2),(23377,3),(23378,4),(23379,5),(23380,2),(23381,9),(23382,3),(23383,9),(23384,6),(23385,8),(23386,7),(23387,4),(23388,8),(23389,3),(23390,6),(23391,5),(23392,7),(23393,7),(23394,3),(23395,8),(23396,2),(23397,3),(23398,9),(23399,7),(23400,5),(23401,3),(23402,4),(23403,1),(23404,4),(23405,3),(23406,3),(23407,8),(23408,3),(23409,7),(23410,9),(23411,3),(23412,9),(23413,2),(23414,3),(23415,1),(23416,1),(23417,7),(23418,9),(23419,3),(23420,7),(23421,3),(23422,7),(23423,9),(23424,4),(23425,3),(23426,6),(23427,6),(23428,8),(23429,6),(23430,6),(23431,6),(23432,8),(23433,2),(23434,6),(23435,7),(23436,9),(23437,1),(23438,5),(23439,3),(23440,8),(23441,4),(23442,1),(23443,4),(23444,2),(23445,9),(23446,9),(23447,3),(23448,2),(23449,4),(23450,4),(23451,8),(23452,1),(23453,1),(23454,2),(23455,2),(23456,5),(23457,9),(23458,8),(23459,5),(23460,5),(23461,5),(23462,9),(23463,2),(23464,2),(23465,8),(23466,9),(23467,9),(23468,5),(23469,8),(23470,9),(23471,6),(23472,3),(23473,1),(23474,2),(23475,4),(23476,9),(23477,1),(23478,3),(23479,9),(23480,2),(23481,7),(23482,3),(23483,1),(23484,8),(23485,1),(23486,4),(23487,8),(23488,7),(23489,9),(23490,4),(23491,8),(23492,2),(23493,3),(23494,2),(23495,6),(23496,9),(23497,3),(23498,9),(23499,3),(23500,1),(23501,5),(23502,4),(23503,2),(23504,2),(23505,5),(23506,3),(23507,6),(23508,7),(23509,7),(23510,9),(23511,4),(23512,2),(23513,7),(23514,4),(23515,2),(23516,8),(23517,5),(23518,2),(23519,9),(23520,6),(23521,1),(23522,5),(23523,3),(23524,2),(23525,9),(23526,5),(23527,1),(23528,8),(23529,8),(23530,5),(23531,3),(23532,6),(23533,3),(23534,4),(23535,1),(23536,3),(23537,3),(23538,5),(23539,3),(23540,1),(23541,8),(23542,2),(23543,1),(23544,8),(23545,7),(23546,3),(23547,5),(23548,4),(23549,7),(23550,9),(23551,6),(23552,8),(23553,1),(23554,9),(23555,7),(23556,9),(23557,3),(23558,2),(23559,4),(23560,7),(23561,3),(23562,3),(23563,4),(23564,5),(23565,2),(23566,8),(23567,1),(23568,2),(23569,3),(23570,6),(23571,3),(23572,9),(23573,8),(23574,2),(23575,9),(23576,7),(23577,6),(23578,2),(23579,2),(23580,6),(23581,3),(23582,3),(23583,2),(23584,1),(23585,3),(23586,3),(23587,6),(23588,1),(23589,6),(23590,3),(23591,5),(23592,2),(23593,5),(23594,1),(23595,4),(23596,9),(23597,3),(23598,2),(23599,5),(23600,2),(23601,1),(23602,2),(23603,8),(23604,8),(23605,9),(23606,8),(23607,4),(23608,7),(23609,8),(23610,2),(23611,5),(23612,1),(23613,4),(23614,7),(23615,3),(23616,9),(23617,4),(23618,2),(23619,3),(23620,6),(23621,4),(23622,1),(23623,6),(23624,6),(23625,9),(23626,8),(23627,3),(23628,7),(23629,7),(23630,5),(23631,2),(23632,2),(23633,1),(23634,7),(23635,6),(23636,6),(23637,6),(23638,8),(23639,9),(23640,3),(23641,4),(23642,9),(23643,5),(23644,5),(23645,5),(23646,5),(23647,6),(23648,1),(23649,7),(23650,5),(23651,7),(23652,8),(23653,4),(23654,4),(23655,7),(23656,1),(23657,4),(23658,3),(23659,7),(23660,5),(23661,2),(23662,4),(23663,2),(23664,3),(23665,4),(23666,5),(23667,2),(23668,4),(23669,9),(23670,3),(23671,3),(23672,9),(23673,8),(23674,7),(23675,2),(23676,1),(23677,5),(23678,8),(23679,7),(23680,3),(23681,6),(23682,2),(23683,2),(23684,8),(23685,9),(23686,3),(23687,5),(23688,4),(23689,7),(23690,4),(23691,6),(23692,2),(23693,6),(23694,5),(23695,6),(23696,7),(23697,5),(23698,8),(23699,8),(23700,6),(23701,5),(23702,5),(23703,7),(23704,2),(23705,7),(23706,6),(23707,6),(23708,3),(23709,5),(23710,7),(23711,3),(23712,7),(23713,7),(23714,6),(23715,8),(23716,3),(23717,7),(23718,5),(23719,5),(23720,4),(23721,4),(23722,8),(23723,8),(23724,2),(23725,8),(23726,6),(23727,7),(23728,6),(23729,5),(23730,7),(23731,2),(23732,5),(23733,7),(23734,2),(23735,6),(23736,9),(23737,3),(23738,7),(23739,6),(23740,9),(23741,5),(23742,3),(23743,8),(23744,2),(23745,7),(23746,3),(23747,5),(23748,2),(23749,4),(23750,5),(23751,1),(23752,6),(23753,6),(23754,2),(23755,8),(23756,7),(23757,4),(23758,5),(23759,5),(23760,9),(23761,6),(23762,8),(23763,3),(23764,2),(23765,9),(23766,2),(23767,9),(23768,2),(23769,3),(23770,3),(23771,8),(23772,1),(23773,4),(23774,7),(23775,6),(23776,8),(23777,8),(23778,8),(23779,6),(23780,1),(23781,6),(23782,3),(23783,1),(23784,4),(23785,1),(23786,1),(23787,3),(23788,1),(23789,3),(23790,7),(23791,2),(23792,7),(23793,9),(23794,8),(23795,2),(23796,7),(23797,4),(23798,1),(23799,1),(23800,9),(23801,6),(23802,9),(23803,8),(23804,7),(23805,7),(23806,5),(23807,5),(23808,6),(23809,3),(23810,8),(23811,7),(23812,8),(23813,1),(23814,1),(23815,6),(23816,9),(23817,3),(23818,7),(23819,6),(23820,9),(23821,6),(23822,8),(23823,2),(23824,7),(23825,5),(23826,6),(23827,7),(23828,8),(23829,6),(23830,3),(23831,9),(23832,7),(23833,3),(23834,2),(23835,4),(23836,8),(23837,5),(23838,8),(23839,3),(23840,8),(23841,8),(23842,1),(23843,2),(23844,2),(23845,6),(23846,8),(23847,7),(23848,3),(23849,6),(23850,3),(23851,2),(23852,8),(23853,4),(23854,1),(23855,2),(23856,8),(23857,2),(23858,2),(23859,6),(23860,3),(23861,7),(23862,7),(23863,2),(23864,6),(23865,2),(23866,3),(23867,1),(23868,5),(23869,1),(23870,1),(23871,8),(23872,7),(23873,8),(23874,4),(23875,7),(23876,7),(23877,9),(23878,8),(23879,7),(23880,1),(23881,4),(23882,8),(23883,3),(23884,3),(23885,9),(23886,4),(23887,8),(23888,2),(23889,1),(23890,9),(23891,6),(23892,2),(23893,7),(23894,7),(23895,9),(23896,3),(23897,1),(23898,4),(23899,7),(23900,8),(23901,6),(23902,4),(23903,3),(23904,2),(23905,2),(23906,7),(23907,5),(23908,1),(23909,6),(23910,1),(23911,5),(23912,2),(23913,9),(23914,1),(23915,5),(23916,1),(23917,4),(23918,8),(23919,5),(23920,1),(23921,6),(23922,4),(23923,6),(23924,8),(23925,4),(23926,9),(23927,6),(23928,7),(23929,3),(23930,7),(23931,3),(23932,7),(23933,8),(23934,6),(23935,6),(23936,2),(23937,7),(23938,3),(23939,2),(23940,5),(23941,7),(23942,6),(23943,6),(23944,6),(23945,6),(23946,1),(23947,2),(23948,7),(23949,2),(23950,2),(23951,3),(23952,9),(23953,1),(23954,4),(23955,1),(23956,9),(23957,2),(23958,3),(23959,1),(23960,1),(23961,9),(23962,9),(23963,3),(23964,1),(23965,3),(23966,4),(23967,4),(23968,2),(23969,5),(23970,4),(23971,3),(23972,4),(23973,1),(23974,1),(23975,9),(23976,3),(23977,6),(23978,9),(23979,9),(23980,6),(23981,1),(23982,3),(23983,5),(23984,1),(23985,7),(23986,1),(23987,5),(23988,2),(23989,3),(23990,1),(23991,5),(23992,5),(23993,2),(23994,3),(23995,6),(23996,6),(23997,8),(23998,3),(23999,9),(24000,7),(24001,2),(24002,6),(24003,3),(24004,2),(24005,2),(24006,5),(24007,9),(24008,2),(24009,6),(24010,2),(24011,1),(24012,9),(24013,4),(24014,2),(24015,8),(24016,5),(24017,6),(24018,6),(24019,9),(24020,4),(24021,1),(24022,3),(24023,6),(24024,4),(24025,8),(24026,5),(24027,7),(24028,6),(24029,4),(24030,7),(24031,7),(24032,2),(24033,1),(24034,3),(24035,4),(24036,5),(24037,9),(24038,6),(24039,5),(24040,5),(24041,6),(24042,8),(24043,5),(24044,3),(24045,7),(24046,9),(24047,1),(24048,8),(24049,9),(24050,2),(24051,8),(24052,2),(24053,5),(24054,4),(24055,9),(24056,1),(24057,9),(24058,4),(24059,1),(24060,6),(24061,1),(24062,1),(24063,2),(24064,7),(24065,1),(24066,6),(24067,6),(24068,7),(24069,7),(24070,1),(24071,7),(24072,2),(24073,2),(24074,5),(24075,3),(24076,3),(24077,6),(24078,2),(24079,8),(24080,7),(24081,2),(24082,3),(24083,3),(24084,2),(24085,5),(24086,5),(24087,2),(24088,8),(24089,3),(24090,2),(24091,8),(24092,1),(24093,5),(24094,4),(24095,1),(24096,4),(24097,4),(24098,7),(24099,2),(24100,2),(24101,9),(24102,9),(24103,6),(24104,8),(24105,2),(24106,1),(24107,3),(24108,6),(24109,6),(24110,6),(24111,9),(24112,3),(24113,1),(24114,4),(24115,7),(24116,3),(24117,2),(24118,8),(24119,8),(24120,5),(24121,5),(24122,9),(24123,3),(24124,3),(24125,8),(24126,1),(24127,2),(24128,7),(24129,2),(24130,2),(24131,9),(24132,2),(24133,3),(24134,5),(24135,9),(24136,6),(24137,6),(24138,6),(24139,2),(24140,7),(24141,9),(24142,2),(24143,1),(24144,7),(24145,9),(24146,5),(24147,5),(24148,5),(24149,4),(24150,9),(24151,2),(24152,8),(24153,8),(24154,9),(24155,3),(24156,2),(24157,6),(24158,9),(24159,9),(24160,5),(24161,6),(24162,7),(24163,7),(24164,7),(24165,2),(24166,1),(24167,4),(24168,9),(24169,6),(24170,3),(24171,7),(24172,9),(24173,5),(24174,3),(24175,8),(24176,9),(24177,4),(24178,4),(24179,8),(24180,3),(24181,6),(24182,4),(24183,8),(24184,9),(24185,8),(24186,1),(24187,9),(24188,6),(24189,6),(24190,9),(24191,6),(24192,9),(24193,8),(24194,2),(24195,9),(24196,3),(24197,7),(24198,9),(24199,3),(24200,2),(24201,5),(24202,4),(24203,7),(24204,2),(24205,2),(24206,3),(24207,7),(24208,7),(24209,3),(24210,4),(24211,7),(24212,1),(24213,9),(24214,4),(24215,9),(24216,6),(24217,7),(24218,6),(24219,7),(24220,2),(24221,2),(24222,4),(24223,3),(24224,9),(24225,3),(24226,2),(24227,3),(24228,7),(24229,8),(24230,3),(24231,4),(24232,7),(24233,1),(24234,9),(24235,5),(24236,2),(24237,5),(24238,6),(24239,5),(24240,3),(24241,2),(24242,7),(24243,4),(24244,2),(24245,7),(24246,1),(24247,4),(24248,8),(24249,5),(24250,3),(24251,6),(24252,3),(24253,4),(24254,9),(24255,6),(24256,7),(24257,6),(24258,8),(24259,6),(24260,6),(24261,6),(24262,2),(24263,4),(24264,2),(24265,1),(24266,5),(24267,1),(24268,2),(24269,1),(24270,1),(24271,9),(24272,1),(24273,9),(24274,9),(24275,7),(24276,8),(24277,7),(24278,8),(24279,5),(24280,4),(24281,6),(24282,2),(24283,5),(24284,4),(24285,5),(24286,6),(24287,2),(24288,5),(24289,7),(24290,8),(24291,2),(24292,2),(24293,3),(24294,8),(24295,6),(24296,9),(24297,7),(24298,9),(24299,5),(24300,9),(24301,7),(24302,7),(24303,7),(24304,8),(24305,4),(24306,7),(24307,6),(24308,5),(24309,4),(24310,5),(24311,6),(24312,6),(24313,5),(24314,2),(24315,7),(24316,8),(24317,9),(24318,2),(24319,1),(24320,5),(24321,5),(24322,3),(24323,4),(24324,7),(24325,8),(24326,2),(24327,2),(24328,3),(24329,8),(24330,2),(24331,5),(24332,4),(24333,1),(24334,8),(24335,9),(24336,7),(24337,3),(24338,8),(24339,9),(24340,6),(24341,4),(24342,9),(24343,9),(24344,9),(24345,7),(24346,2),(24347,5),(24348,6),(24349,3),(24350,6),(24351,1),(24352,6),(24353,7),(24354,5),(24355,8),(24356,1),(24357,4),(24358,9),(24359,3),(24360,2),(24361,3),(24362,9),(24363,3),(24364,3),(24365,6),(24366,4),(24367,9),(24368,7),(24369,3),(24370,4),(24371,2),(24372,9),(24373,6),(24374,3),(24375,8),(24376,9),(24377,4),(24378,1),(24379,2),(24380,4),(24381,3),(24382,5),(24383,1),(24384,5),(24385,3),(24386,4),(24387,8),(24388,4),(24389,8),(24390,8),(24391,9),(24392,6),(24393,2),(24394,4),(24395,4),(24396,1),(24397,1),(24398,2),(24399,7),(24400,2),(24401,3),(24402,5),(24403,2),(24404,1),(24405,5),(24406,6),(24407,9),(24408,3),(24409,4),(24410,9),(24411,5),(24412,7),(24413,7),(24414,4),(24415,1),(24416,3),(24417,8),(24418,2),(24419,6),(24420,2),(24421,5),(24422,1),(24423,8),(24424,5),(24425,8),(24426,6),(24427,6),(24428,6),(24429,9),(24430,7),(24431,3),(24432,2),(24433,8),(24434,8),(24435,9),(24436,8),(24437,2),(24438,8),(24439,7),(24440,8),(24441,2),(24442,6),(24443,5),(24444,2),(24445,5),(24446,4),(24447,5),(24448,5),(24449,4),(24450,5),(24451,6),(24452,7),(24453,1),(24454,4),(24455,7),(24456,8),(24457,3),(24458,2),(24459,8),(24460,9),(24461,6),(24462,5),(24463,9),(24464,1),(24465,1),(24466,4),(24467,9),(24468,2),(24469,7),(24470,7),(24471,7),(24472,6),(24473,2),(24474,6),(24475,2),(24476,3),(24477,3),(24478,3),(24479,2),(24480,9),(24481,9),(24482,1),(24483,2),(24484,6),(24485,7),(24486,5),(24487,7),(24488,6),(24489,5),(24490,6),(24491,3),(24492,6),(24493,9),(24494,4),(24495,8),(24496,2),(24497,9),(24498,8),(24499,1),(24500,1),(24501,8),(24502,2),(24503,5),(24504,1),(24505,2),(24506,1),(24507,1),(24508,8),(24509,8),(24510,5),(24511,3),(24512,5),(24513,6),(24514,5),(24515,9),(24516,1),(24517,6),(24518,6),(24519,1),(24520,5),(24521,2),(24522,5),(24523,1),(24524,7),(24525,3),(24526,7),(24527,9),(24528,7),(24529,7),(24530,5),(24531,6),(24532,1),(24533,3),(24534,7),(24535,1),(24536,5),(24537,4),(24538,8),(24539,4),(24540,9),(24541,8),(24542,8),(24543,5),(24544,8),(24545,6),(24546,2),(24547,7),(24548,9),(24549,6),(24550,6),(24551,4),(24552,3),(24553,3),(24554,9),(24555,5),(24556,1),(24557,6),(24558,8),(24559,7),(24560,4),(24561,1),(24562,1),(24563,3),(24564,8),(24565,5),(24566,5),(24567,6),(24568,7),(24569,1),(24570,1),(24571,9),(24572,6),(24573,5),(24574,4),(24575,7),(24576,4),(24577,9),(24578,4),(24579,8),(24580,3),(24581,8),(24582,7),(24583,3),(24584,4),(24585,9),(24586,2),(24587,3),(24588,4),(24589,9),(24590,1),(24591,7),(24592,8),(24593,9),(24594,5),(24595,4),(24596,4),(24597,4),(24598,6),(24599,6),(24600,5),(24601,8),(24602,6),(24603,6),(24604,8),(24605,2),(24606,4),(24607,8),(24608,9),(24609,4),(24610,6),(24611,7),(24612,4),(24613,3),(24614,6),(24615,9),(24616,8),(24617,3),(24618,3),(24619,6),(24620,3),(24621,6),(24622,7),(24623,7),(24624,3),(24625,5),(24626,7),(24627,5),(24628,9),(24629,3),(24630,6),(24631,7),(24632,7),(24633,3),(24634,8),(24635,2),(24636,8),(24637,9),(24638,7),(24639,5),(24640,8),(24641,5),(24642,1),(24643,9),(24644,8),(24645,2),(24646,2),(24647,7),(24648,5),(24649,2),(24650,4),(24651,7),(24652,6),(24653,5),(24654,8),(24655,7),(24656,1),(24657,5),(24658,9),(24659,9),(24660,9),(24661,2),(24662,9),(24663,6),(24664,2),(24665,5),(24666,2),(24667,7),(24668,7),(24669,2),(24670,5),(24671,5),(24672,3),(24673,4),(24674,8),(24675,3),(24676,8),(24677,8),(24678,6),(24679,5),(24680,2),(24681,7),(24682,3),(24683,6),(24684,1),(24685,5),(24686,9),(24687,4),(24688,4),(24689,8),(24690,8),(24691,9),(24692,3),(24693,2),(24694,6),(24695,5),(24696,7),(24697,5),(24698,1),(24699,2),(24700,5),(24701,7),(24702,9),(24703,5),(24704,8),(24705,8),(24706,5),(24707,8),(24708,1),(24709,2),(24710,2),(24711,8),(24712,8),(24713,2),(24714,9),(24715,9),(24716,6),(24717,5),(24718,8),(24719,9),(24720,7),(24721,7),(24722,2),(24723,5),(24724,1),(24725,2),(24726,1),(24727,1),(24728,9),(24729,5),(24730,5),(24731,2),(24732,3),(24733,2),(24734,2),(24735,1),(24736,2),(24737,9),(24738,6),(24739,5),(24740,5),(24741,2),(24742,4),(24743,9),(24744,9),(24745,9),(24746,8),(24747,5),(24748,1),(24749,9),(24750,7),(24751,3),(24752,8),(24753,5),(24754,1),(24755,1),(24756,6),(24757,4),(24758,8),(24759,6),(24760,8),(24761,8),(24762,1),(24763,5),(24764,5),(24765,6),(24766,6),(24767,3),(24768,2),(24769,4),(24770,3),(24771,8),(24772,5),(24773,3),(24774,8),(24775,2),(24776,8),(24777,1),(24778,2),(24779,4),(24780,8),(24781,1),(24782,1),(24783,2),(24784,9),(24785,4),(24786,2),(24787,8),(24788,1),(24789,6),(24790,9),(24791,3),(24792,4),(24793,1),(24794,9),(24795,1),(24796,5),(24797,7),(24798,4),(24799,4),(24800,7),(24801,6),(24802,1),(24803,7),(24804,4),(24805,8),(24806,7),(24807,7),(24808,9),(24809,7),(24810,8),(24811,7),(24812,7),(24813,5),(24814,8),(24815,6),(24816,2),(24817,4),(24818,8),(24819,4),(24820,9),(24821,6),(24822,8),(24823,4),(24824,3),(24825,6),(24826,1),(24827,1),(24828,2),(24829,4),(24830,7),(24831,7),(24832,8),(24833,3),(24834,8),(24835,6),(24836,4),(24837,5),(24838,3),(24839,3),(24840,6),(24841,8),(24842,8),(24843,8),(24844,5),(24845,4),(24846,3),(24847,2),(24848,4),(24849,3),(24850,3),(24851,1),(24852,4),(24853,4),(24854,6),(24855,4),(24856,7),(24857,6),(24858,3),(24859,7),(24860,1),(24861,5),(24862,2),(24863,9),(24864,6),(24865,4),(24866,5),(24867,8),(24868,8),(24869,8),(24870,3),(24871,3),(24872,2),(24873,2),(24874,3),(24875,3),(24876,2),(24877,9),(24878,3),(24879,1),(24880,6),(24881,1),(24882,7),(24883,5),(24884,9),(24885,6),(24886,7),(24887,2),(24888,8),(24889,3),(24890,6),(24891,1),(24892,9),(24893,5),(24894,3),(24895,1),(24896,8),(24897,6),(24898,4),(24899,8),(24900,6),(24901,7),(24902,2),(24903,5),(24904,6),(24905,2),(24906,7),(24907,2),(24908,3),(24909,9),(24910,9),(24911,9),(24912,7),(24913,6),(24914,4),(24915,3),(24916,7),(24917,2),(24918,4),(24919,3),(24920,8),(24921,2),(24922,9),(24923,3),(24924,7),(24925,7),(24926,1),(24927,9),(24928,1),(24929,1),(24930,5),(24931,6),(24932,4),(24933,7),(24934,4),(24935,4),(24936,6),(24937,1),(24938,9),(24939,6),(24940,2),(24941,7),(24942,1),(24943,1),(24944,5),(24945,8),(24946,9),(24947,3),(24948,4),(24949,9),(24950,3),(24951,1),(24952,6),(24953,5),(24954,9),(24955,9),(24956,2),(24957,7),(24958,5),(24959,5),(24960,9),(24961,6),(24962,8),(24963,6),(24964,7),(24965,7),(24966,6),(24967,2),(24968,5),(24969,8),(24970,7),(24971,7),(24972,5),(24973,1),(24974,8),(24975,2),(24976,6),(24977,7),(24978,1),(24979,3),(24980,6),(24981,8),(24982,7),(24983,6),(24984,7),(24985,3),(24986,8),(24987,1),(24988,7),(24989,6),(24990,4),(24991,9),(24992,2),(24993,4),(24994,4),(24995,6),(24996,5),(24997,7),(24998,7),(24999,8),(25000,9),(25001,1),(25002,8),(25003,2),(25004,8),(25005,9),(25006,2),(25007,5),(25008,6),(25009,6),(25010,9),(25011,5),(25012,4),(25013,9),(25014,4),(25015,8),(25016,6),(25017,2),(25018,3),(25019,7),(25020,1),(25021,5),(25022,3),(25023,7),(25024,8),(25025,9),(25026,5),(25027,2),(25028,2),(25029,4),(25030,1),(25031,6),(25032,7),(25033,1),(25034,5),(25035,2),(25036,3),(25037,4),(25038,5),(25039,8),(25040,2),(25041,4),(25042,3),(25043,9),(25044,6),(25045,7),(25046,7),(25047,6),(25048,9),(25049,6),(25050,4),(25051,5),(25052,3),(25053,4),(25054,5),(25055,2),(25056,2),(25057,3),(25058,9),(25059,8),(25060,1),(25061,3),(25062,6),(25063,1),(25064,7),(25065,7),(25066,2),(25067,4),(25068,6),(25069,1),(25070,4),(25071,2),(25072,7),(25073,7),(25074,7),(25075,5),(25076,3),(25077,8),(25078,4),(25079,5),(25080,8),(25081,7),(25082,5),(25083,7),(25084,8),(25085,7),(25086,3),(25087,7),(25088,7),(25089,8),(25090,8),(25091,3),(25092,1),(25093,8),(25094,5),(25095,8),(25096,6),(25097,5),(25098,5),(25099,4),(25100,3),(25101,3),(25102,5),(25103,3),(25104,9),(25105,2),(25106,1),(25107,3),(25108,6),(25109,8),(25110,8),(25111,5),(25112,4),(25113,7),(25114,3),(25115,3),(25116,8),(25117,3),(25118,4),(25119,9),(25120,9),(25121,8),(25122,6),(25123,1),(25124,5),(25125,2),(25126,9),(25127,2),(25128,8),(25129,5),(25130,8),(25131,8),(25132,5),(25133,2),(25134,9),(25135,5),(25136,1),(25137,2),(25138,7),(25139,3),(25140,4),(25141,8),(25142,7),(25143,3),(25144,1),(25145,6),(25146,9),(25147,1),(25148,9),(25149,5),(25150,9),(25151,7),(25152,6),(25153,9),(25154,6),(25155,3),(25156,1),(25157,8),(25158,1),(25159,6),(25160,1),(25161,5),(25162,2),(25163,5),(25164,1),(25165,2),(25166,3),(25167,4),(25168,4),(25169,6),(25170,7),(25171,7),(25172,1),(25173,5),(25174,4),(25175,4),(25176,6),(25177,4),(25178,2),(25179,9),(25180,6),(25181,6),(25182,5),(25183,7),(25184,4),(25185,1),(25186,4),(25187,6),(25188,6),(25189,7),(25190,2),(25191,4),(25192,7),(25193,6),(25194,9),(25195,6),(25196,1),(25197,3),(25198,5),(25199,8),(25200,3),(25201,2),(25202,4),(25203,2),(25204,9),(25205,3),(25206,1),(25207,7),(25208,9),(25209,7),(25210,2),(25211,6),(25212,9),(25213,9),(25214,7),(25215,1),(25216,8),(25217,5),(25218,5),(25219,3),(25220,2),(25221,1),(25222,2),(25223,6),(25224,7),(25225,6),(25226,8),(25227,3),(25228,7),(25229,3),(25230,6),(25231,1),(25232,5),(25233,1),(25234,6),(25235,1),(25236,3),(25237,4),(25238,4),(25239,3),(25240,7),(25241,1),(25242,8),(25243,3),(25244,7),(25245,3),(25246,4),(25247,6),(25248,6),(25249,9),(25250,1),(25251,4),(25252,2),(25253,4),(25254,4),(25255,6),(25256,5),(25257,9),(25258,8),(25259,1),(25260,7),(25261,9),(25262,5),(25263,8),(25264,4),(25265,8),(25266,7),(25267,7),(25268,2),(25269,6),(25270,1),(25271,3),(25272,1),(25273,1),(25274,4),(25275,3),(25276,3),(25277,4),(25278,1),(25279,4),(25280,1),(25281,6),(25282,5),(25283,7),(25284,5),(25285,1),(25286,9),(25287,5),(25288,2),(25289,1),(25290,9),(25291,4),(25292,7),(25293,2),(25294,7),(25295,4),(25296,2),(25297,9),(25298,9),(25299,6),(25300,9),(25301,2),(25302,5),(25303,4),(25304,4),(25305,8),(25306,3),(25307,3),(25308,8),(25309,1),(25310,3),(25311,6),(25312,4),(25313,1),(25314,4),(25315,8),(25316,1),(25317,1),(25318,8),(25319,2),(25320,8),(25321,2),(25322,2),(25323,6),(25324,8),(25325,5),(25326,6),(25327,2),(25328,3),(25329,4),(25330,7),(25331,2),(25332,8),(25333,6),(25334,1),(25335,6),(25336,2),(25337,5),(25338,6),(25339,6),(25340,7),(25341,2),(25342,5),(25343,2),(25344,8),(25345,3),(25346,7),(25347,6),(25348,1),(25349,6),(25350,4),(25351,2),(25352,8),(25353,1),(25354,2),(25355,7),(25356,3),(25357,9),(25358,6),(25359,7),(25360,4),(25361,8),(25362,7),(25363,6),(25364,6),(25365,5),(25366,1),(25367,3),(25368,8),(25369,8),(25370,9),(25371,9),(25372,8),(25373,4),(25374,3),(25375,8),(25376,9),(25377,4),(25378,4),(25379,7),(25380,9),(25381,2),(25382,1),(25383,2),(25384,8),(25385,1),(25386,9),(25387,8),(25388,2),(25389,7),(25390,7),(25391,1),(25392,3),(25393,5),(25394,6),(25395,1),(25396,4),(25397,6),(25398,4),(25399,5),(25400,5),(25401,9),(25402,1),(25403,5),(25404,8),(25405,8),(25406,2),(25407,8),(25408,7),(25409,6),(25410,4),(25411,1),(25412,2),(25413,6),(25414,6),(25415,1),(25416,4),(25417,4),(25418,5),(25419,2),(25420,2),(25421,5),(25422,4),(25423,7),(25424,3),(25425,8),(25426,7),(25427,9),(25428,6),(25429,3),(25430,7),(25431,9),(25432,1),(25433,3),(25434,3),(25435,8),(25436,4),(25437,9),(25438,7),(25439,2),(25440,9),(25441,1),(25442,4),(25443,9),(25444,6),(25445,2),(25446,6),(25447,2),(25448,8),(25449,9),(25450,5),(25451,5),(25452,2),(25453,1),(25454,8),(25455,8),(25456,2),(25457,2),(25458,8),(25459,9),(25460,5),(25461,4),(25462,7),(25463,3),(25464,2),(25465,3),(25466,6),(25467,4),(25468,2),(25469,8),(25470,5),(25471,2),(25472,2),(25473,7),(25474,6),(25475,6),(25476,6),(25477,2),(25478,4),(25479,5),(25480,2),(25481,8),(25482,1),(25483,5),(25484,2),(25485,4),(25486,9),(25487,6),(25488,3),(25489,9),(25490,7),(25491,7),(25492,5),(25493,7),(25494,4),(25495,4),(25496,2),(25497,5),(25498,3),(25499,2),(25500,8),(25501,5),(25502,5),(25503,9),(25504,9),(25505,8),(25506,2),(25507,3),(25508,7),(25509,7),(25510,9),(25511,5),(25512,4),(25513,2),(25514,5),(25515,4),(25516,2),(25517,4),(25518,1),(25519,6),(25520,5),(25521,2),(25522,8),(25523,5),(25524,7),(25525,8),(25526,4),(25527,2),(25528,1),(25529,1),(25530,4),(25531,9),(25532,4),(25533,3),(25534,6),(25535,1),(25536,9),(25537,8),(25538,8),(25539,9),(25540,8),(25541,2),(25542,4),(25543,2),(25544,8),(25545,4),(25546,1),(25547,4),(25548,2),(25549,7),(25550,1),(25551,7),(25552,7),(25553,3),(25554,6),(25555,9),(25556,5),(25557,8),(25558,3),(25559,1),(25560,5),(25561,4),(25562,6),(25563,5),(25564,3),(25565,2),(25566,7),(25567,1),(25568,3),(25569,5),(25570,2),(25571,2),(25572,9),(25573,3),(25574,7),(25575,9),(25576,6),(25577,3),(25578,5),(25579,2),(25580,4),(25581,8),(25582,7),(25583,9),(25584,4),(25585,7),(25586,8),(25587,8),(25588,9),(25589,5),(25590,1),(25591,9),(25592,5),(25593,3),(25594,7),(25595,6),(25596,8),(25597,8),(25598,5),(25599,2),(25600,5),(25601,2),(25602,5),(25603,3),(25604,1),(25605,2),(25606,3),(25607,7),(25608,4),(25609,9),(25610,1),(25611,4),(25612,4),(25613,6),(25614,2),(25615,5),(25616,5),(25617,7),(25618,1),(25619,9),(25620,2),(25621,6),(25622,5),(25623,6),(25624,7),(25625,5),(25626,4),(25627,2),(25628,6),(25629,9),(25630,5),(25631,9),(25632,4),(25633,2),(25634,7),(25635,7),(25636,5),(25637,6),(25638,8),(25639,9),(25640,5),(25641,2),(25642,8),(25643,4),(25644,4),(25645,9),(25646,6),(25647,6),(25648,1),(25649,2),(25650,4),(25651,6),(25652,7),(25653,4),(25654,9),(25655,7),(25656,9),(25657,9),(25658,2),(25659,7),(25660,7),(25661,9),(25662,5),(25663,8),(25664,2),(25665,5),(25666,6),(25667,8),(25668,5),(25669,8),(25670,2),(25671,8),(25672,1),(25673,1),(25674,4),(25675,5),(25676,6),(25677,3),(25678,7),(25679,4),(25680,2),(25681,4),(25682,9),(25683,3),(25684,7),(25685,3),(25686,7),(25687,5),(25688,1),(25689,7),(25690,9),(25691,1),(25692,6),(25693,4),(25694,8),(25695,8),(25696,3),(25697,2),(25698,4),(25699,1),(25700,8),(25701,5),(25702,1),(25703,1),(25704,4),(25705,8),(25706,6),(25707,3),(25708,5),(25709,3),(25710,3),(25711,1),(25712,4),(25713,3),(25714,7),(25715,6),(25716,1),(25717,1),(25718,8),(25719,3),(25720,1),(25721,5),(25722,8),(25723,2),(25724,2),(25725,9),(25726,8),(25727,9),(25728,1),(25729,5),(25730,5),(25731,8),(25732,5),(25733,2),(25734,8),(25735,6),(25736,4),(25737,4),(25738,8),(25739,4),(25740,8),(25741,8),(25742,7),(25743,5),(25744,3),(25745,9),(25746,6),(25747,8),(25748,7),(25749,1),(25750,2),(25751,7),(25752,6),(25753,8),(25754,7),(25755,6),(25756,4),(25757,9),(25758,9),(25759,5),(25760,2),(25761,6),(25762,6),(25763,6),(25764,9),(25765,5),(25766,9),(25767,6),(25768,4),(25769,7),(25770,3),(25771,8),(25772,2),(25773,8),(25774,6),(25775,5),(25776,5),(25777,3),(25778,8),(25779,2),(25780,6),(25781,2),(25782,2),(25783,8),(25784,5),(25785,5),(25786,1),(25787,4),(25788,7),(25789,4),(25790,3),(25791,1),(25792,3),(25793,4),(25794,2),(25795,6),(25796,5),(25797,4),(25798,8),(25799,2),(25800,5),(25801,5),(25802,8),(25803,3),(25804,9),(25805,7),(25806,8),(25807,2),(25808,1),(25809,4),(25810,3),(25811,9),(25812,1),(25813,8),(25814,7),(25815,7),(25816,9),(25817,9),(25818,1),(25819,3),(25820,2),(25821,1),(25822,8),(25823,4),(25824,6),(25825,9),(25826,8),(25827,4),(25828,1),(25829,6),(25830,6),(25831,1),(25832,2),(25833,3),(25834,4),(25835,2),(25836,8),(25837,3),(25838,6),(25839,9),(25840,6),(25841,1),(25842,7),(25843,5),(25844,9),(25845,2),(25846,4),(25847,5),(25848,9),(25849,7),(25850,2),(25851,6),(25852,3),(25853,6),(25854,6),(25855,2),(25856,9),(25857,2),(25858,1),(25859,5),(25860,4),(25861,2),(25862,2),(25863,1),(25864,6),(25865,1),(25866,4),(25867,7),(25868,9),(25869,4),(25870,4),(25871,8),(25872,1),(25873,3),(25874,9),(25875,1),(25876,1),(25877,9),(25878,7),(25879,2),(25880,7),(25881,8),(25882,7),(25883,6),(25884,2),(25885,6),(25886,7),(25887,6),(25888,8),(25889,2),(25890,5),(25891,1),(25892,9),(25893,2),(25894,1),(25895,8),(25896,6),(25897,8),(25898,2),(25899,9),(25900,7),(25901,3),(25902,6),(25903,8),(25904,2),(25905,4),(25906,7),(25907,6),(25908,3),(25909,8),(25910,3),(25911,3),(25912,3),(25913,4),(25914,6),(25915,8),(25916,1),(25917,8),(25918,1),(25919,9),(25920,2),(25921,5),(25922,5),(25923,7),(25924,1),(25925,8),(25926,1),(25927,1),(25928,3),(25929,1),(25930,5),(25931,9),(25932,7),(25933,2),(25934,1),(25935,6),(25936,5),(25937,4),(25938,1),(25939,7),(25940,7),(25941,4),(25942,2),(25943,3),(25944,9),(25945,2),(25946,5),(25947,4),(25948,9),(25949,2),(25950,4),(25951,6),(25952,5),(25953,9),(25954,5),(25955,1),(25956,5),(25957,7),(25958,2),(25959,1),(25960,2),(25961,3),(25962,7),(25963,8),(25964,8),(25965,5),(25966,9),(25967,5),(25968,8),(25969,6),(25970,9),(25971,7),(25972,1),(25973,6),(25974,4),(25975,7),(25976,1),(25977,7),(25978,6),(25979,9),(25980,3),(25981,4),(25982,6),(25983,4),(25984,7),(25985,1),(25986,2),(25987,5),(25988,9),(25989,6),(25990,5),(25991,4),(25992,2),(25993,4),(25994,5),(25995,2),(25996,1),(25997,5),(25998,4),(25999,7),(26000,7),(26001,2),(26002,8),(26003,2),(26004,1),(26005,4),(26006,7),(26007,9),(26008,7),(26009,1),(26010,5),(26011,1),(26012,4),(26013,7),(26014,4),(26015,5),(26016,7),(26017,2),(26018,2),(26019,1),(26020,5),(26021,2),(26022,9),(26023,4),(26024,3),(26025,4),(26026,1),(26027,8),(26028,8),(26029,8),(26030,8),(26031,4),(26032,5),(26033,9),(26034,4),(26035,6),(26036,6),(26037,9),(26038,9),(26039,8),(26040,7),(26041,8),(26042,7),(26043,4),(26044,3),(26045,5),(26046,7),(26047,3),(26048,8),(26049,9),(26050,3),(26051,2),(26052,3),(26053,5),(26054,8),(26055,5),(26056,7),(26057,9),(26058,2),(26059,5),(26060,6),(26061,4),(26062,6),(26063,8),(26064,3),(26065,8),(26066,8),(26067,7),(26068,3),(26069,6),(26070,8),(26071,1),(26072,8),(26073,7),(26074,7),(26075,2),(26076,1),(26077,7),(26078,9),(26079,3),(26080,2),(26081,8),(26082,6),(26083,2),(26084,1),(26085,3),(26086,7),(26087,2),(26088,7),(26089,1),(26090,1),(26091,2),(26092,4),(26093,1),(26094,9),(26095,1),(26096,9),(26097,3),(26098,1),(26099,3),(26100,6),(26101,5),(26102,5),(26103,4),(26104,8),(26105,9),(26106,9),(26107,1),(26108,1),(26109,4),(26110,6),(26111,5),(26112,8),(26113,8),(26114,3),(26115,2),(26116,5),(26117,8),(26118,7),(26119,1),(26120,3),(26121,4),(26122,9),(26123,9),(26124,8),(26125,7),(26126,6),(26127,1),(26128,5),(26129,8),(26130,3),(26131,9),(26132,3),(26133,2),(26134,1),(26135,5),(26136,9),(26137,2),(26138,7),(26139,9),(26140,4),(26141,8),(26142,4),(26143,2),(26144,8),(26145,1),(26146,1),(26147,1),(26148,4),(26149,2),(26150,2),(26151,1),(26152,3),(26153,5),(26154,7),(26155,2),(26156,2),(26157,5),(26158,2),(26159,1),(26160,7),(26161,7),(26162,1),(26163,7),(26164,9),(26165,6),(26166,1),(26167,5),(26168,5),(26169,7),(26170,4),(26171,7),(26172,3),(26173,7),(26174,1),(26175,9),(26176,7),(26177,2),(26178,7),(26179,2),(26180,3),(26181,8),(26182,9),(26183,6),(26184,5),(26185,6),(26186,4),(26187,1),(26188,3),(26189,2),(26190,7),(26191,9),(26192,3),(26193,9),(26194,3),(26195,2),(26196,4),(26197,3),(26198,7),(26199,6),(26200,8),(26201,6),(26202,2),(26203,2),(26204,7),(26205,2),(26206,8),(26207,6),(26208,4),(26209,6),(26210,5),(26211,5),(26212,5),(26213,8),(26214,5),(26215,2),(26216,9),(26217,9),(26218,1),(26219,8),(26220,3),(26221,1),(26222,4),(26223,7),(26224,2),(26225,3),(26226,7),(26227,1),(26228,9),(26229,4),(26230,8),(26231,3),(26232,3),(26233,1),(26234,1),(26235,4),(26236,5),(26237,7),(26238,8),(26239,6),(26240,7),(26241,5),(26242,4),(26243,6),(26244,5),(26245,5),(26246,4),(26247,2),(26248,7),(26249,8),(26250,9),(26251,9),(26252,9),(26253,2),(26254,7),(26255,5),(26256,9),(26257,7),(26258,2),(26259,9),(26260,9),(26261,6),(26262,9),(26263,3),(26264,8),(26265,6),(26266,6),(26267,9),(26268,7),(26269,8),(26270,2),(26271,1),(26272,3),(26273,4),(26274,9),(26275,3),(26276,6),(26277,8),(26278,8),(26279,2),(26280,4),(26281,3),(26282,7),(26283,4),(26284,9),(26285,9),(26286,2),(26287,2),(26288,2),(26289,8),(26290,6),(26291,9),(26292,3),(26293,1),(26294,2),(26295,7),(26296,9),(26297,9),(26298,8),(26299,8),(26300,2),(26301,2),(26302,2),(26303,4),(26304,4),(26305,9),(26306,2),(26307,4),(26308,4),(26309,4),(26310,8),(26311,2),(26312,6),(26313,9),(26314,4),(26315,5),(26316,2),(26317,1),(26318,9),(26319,2),(26320,6),(26321,5),(26322,5),(26323,5),(26324,7),(26325,7),(26326,7),(26327,5),(26328,3),(26329,4),(26330,5),(26331,8),(26332,5),(26333,1),(26334,6),(26335,6),(26336,5),(26337,5),(26338,4),(26339,1),(26340,3),(26341,8),(26342,2),(26343,1),(26344,6),(26345,9),(26346,2),(26347,7),(26348,7),(26349,8),(26350,5),(26351,2),(26352,9),(26353,6),(26354,6),(26355,8),(26356,4),(26357,7),(26358,2),(26359,6),(26360,3),(26361,8),(26362,8),(26363,7),(26364,8),(26365,5),(26366,9),(26367,3),(26368,5),(26369,8),(26370,8),(26371,2),(26372,1),(26373,2),(26374,7),(26375,5),(26376,4),(26377,3),(26378,8),(26379,8),(26380,2),(26381,2),(26382,5),(26383,5),(26384,8),(26385,5),(26386,6),(26387,9),(26388,2),(26389,3),(26390,7),(26391,6),(26392,6),(26393,9),(26394,5),(26395,2),(26396,5),(26397,6),(26398,5),(26399,8),(26400,2),(26401,6),(26402,8),(26403,2),(26404,1),(26405,3),(26406,6),(26407,3),(26408,3),(26409,5),(26410,2),(26411,6),(26412,8),(26413,1),(26414,3),(26415,6),(26416,6),(26417,5),(26418,8),(26419,9),(26420,4),(26421,6),(26422,5),(26423,3),(26424,5),(26425,3),(26426,5),(26427,6),(26428,1),(26429,2),(26430,5),(26431,3),(26432,5),(26433,3),(26434,9),(26435,8),(26436,4),(26437,2),(26438,9),(26439,4),(26440,5),(26441,3),(26442,6),(26443,7),(26444,9),(26445,1),(26446,2),(26447,2),(26448,2),(26449,7),(26450,2),(26451,7),(26452,9),(26453,1),(26454,1),(26455,6),(26456,3),(26457,9),(26458,4),(26459,9),(26460,5),(26461,5),(26462,2),(26463,8),(26464,2),(26465,7),(26466,5),(26467,1),(26468,1),(26469,2),(26470,5),(26471,4),(26472,9),(26473,9),(26474,9),(26475,2),(26476,9),(26477,7),(26478,7),(26479,9),(26480,5),(26481,9),(26482,3),(26483,2),(26484,8),(26485,3),(26486,9),(26487,1),(26488,6),(26489,1),(26490,7),(26491,9),(26492,2),(26493,8),(26494,6),(26495,9),(26496,3),(26497,8),(26498,3),(26499,5),(26500,9),(26501,5),(26502,5),(26503,9),(26504,7),(26505,5),(26506,7),(26507,5),(26508,9),(26509,7),(26510,4),(26511,6),(26512,9),(26513,5),(26514,4),(26515,4),(26516,1),(26517,7),(26518,7),(26519,5),(26520,9),(26521,9),(26522,4),(26523,3),(26524,5),(26525,4),(26526,5),(26527,3),(26528,7),(26529,4),(26530,6),(26531,3),(26532,4),(26533,2),(26534,1),(26535,7),(26536,9),(26537,7),(26538,1),(26539,8),(26540,1),(26541,3),(26542,2),(26543,7),(26544,4),(26545,6),(26546,3),(26547,9),(26548,2),(26549,4),(26550,5),(26551,7),(26552,1),(26553,2),(26554,5),(26555,7),(26556,3),(26557,1),(26558,8),(26559,2),(26560,2),(26561,7),(26562,4),(26563,7),(26564,2),(26565,6),(26566,9),(26567,4),(26568,3),(26569,4),(26570,8),(26571,3),(26572,3),(26573,5),(26574,3),(26575,3),(26576,5),(26577,3),(26578,7),(26579,2),(26580,2),(26581,2),(26582,5),(26583,5),(26584,6),(26585,5),(26586,5),(26587,3),(26588,4),(26589,5),(26590,9),(26591,8),(26592,1),(26593,5),(26594,7),(26595,6),(26596,2),(26597,2),(26598,5),(26599,1),(26600,6),(26601,6),(26602,2),(26603,5),(26604,6),(26605,3),(26606,5),(26607,9),(26608,1),(26609,5),(26610,7),(26611,5),(26612,7),(26613,1),(26614,3),(26615,3),(26616,5),(26617,7),(26618,3),(26619,8),(26620,7),(26621,3),(26622,8),(26623,2),(26624,1),(26625,7),(26626,6),(26627,1),(26628,1),(26629,7),(26630,1),(26631,8),(26632,9),(26633,7),(26634,3),(26635,2),(26636,4),(26637,1),(26638,7),(26639,7),(26640,8),(26641,3),(26642,8),(26643,8),(26644,6),(26645,9),(26646,5),(26647,9),(26648,2),(26649,9),(26650,4),(26651,7),(26652,1),(26653,4),(26654,7),(26655,9),(26656,5),(26657,2),(26658,5),(26659,6),(26660,4),(26661,8),(26662,3),(26663,1),(26664,1),(26665,9),(26666,7),(26667,1),(26668,8),(26669,6),(26670,3),(26671,1),(26672,7),(26673,9),(26674,4),(26675,5),(26676,4),(26677,4),(26678,4),(26679,8),(26680,1),(26681,5),(26682,1),(26683,8),(26684,7),(26685,4),(26686,9),(26687,7),(26688,3),(26689,2),(26690,4),(26691,3),(26692,7),(26693,5),(26694,9),(26695,8),(26696,2),(26697,4),(26698,3),(26699,6),(26700,7),(26701,8),(26702,1),(26703,8),(26704,5),(26705,4),(26706,4),(26707,3),(26708,9),(26709,7),(26710,5),(26711,8),(26712,7),(26713,5),(26714,6),(26715,8),(26716,1),(26717,1),(26718,8),(26719,6),(26720,3),(26721,3),(26722,7),(26723,9),(26724,2),(26725,4),(26726,3),(26727,3),(26728,8),(26729,3),(26730,4),(26731,2),(26732,1),(26733,2),(26734,4),(26735,7),(26736,5),(26737,9),(26738,3),(26739,7),(26740,6),(26741,6),(26742,8),(26743,8),(26744,2),(26745,4),(26746,4),(26747,2),(26748,4),(26749,7),(26750,6),(26751,6),(26752,8),(26753,4),(26754,1),(26755,2),(26756,6),(26757,1),(26758,5),(26759,3),(26760,4),(26761,1),(26762,6),(26763,8),(26764,1),(26765,2),(26766,6),(26767,6),(26768,2),(26769,5),(26770,2),(26771,7),(26772,9),(26773,5),(26774,4),(26775,6),(26776,6),(26777,5),(26778,3),(26779,2),(26780,3),(26781,6),(26782,7),(26783,1),(26784,3),(26785,7),(26786,9),(26787,6),(26788,3),(26789,7),(26790,2),(26791,1),(26792,1),(26793,9),(26794,7),(26795,1),(26796,3),(26797,8),(26798,1),(26799,8),(26800,6),(26801,4),(26802,2),(26803,1),(26804,4),(26805,3),(26806,5),(26807,4),(26808,7),(26809,3),(26810,7),(26811,6),(26812,7),(26813,4),(26814,8),(26815,7),(26816,9),(26817,9),(26818,9),(26819,3),(26820,9),(26821,4),(26822,4),(26823,3),(26824,4),(26825,7),(26826,4),(26827,3),(26828,2),(26829,2),(26830,2),(26831,5),(26832,6),(26833,2),(26834,8),(26835,3),(26836,3),(26837,9),(26838,9),(26839,6),(26840,9),(26841,2),(26842,9),(26843,5),(26844,4),(26845,6),(26846,6),(26847,5),(26848,6),(26849,3),(26850,5),(26851,7),(26852,5),(26853,3),(26854,1),(26855,7),(26856,8),(26857,8),(26858,1),(26859,7),(26860,8),(26861,1),(26862,4),(26863,9),(26864,4),(26865,9),(26866,1),(26867,3),(26868,7),(26869,2),(26870,2),(26871,2),(26872,8),(26873,3),(26874,2),(26875,3),(26876,2),(26877,3),(26878,2),(26879,7),(26880,7),(26881,5),(26882,2),(26883,4),(26884,4),(26885,7),(26886,6),(26887,7),(26888,4),(26889,2),(26890,1),(26891,3),(26892,7),(26893,2),(26894,7),(26895,7),(26896,6),(26897,5),(26898,3),(26899,4),(26900,3),(26901,7),(26902,5),(26903,6),(26904,3),(26905,1),(26906,2),(26907,4),(26908,2),(26909,2),(26910,3),(26911,3),(26912,7),(26913,1),(26914,6),(26915,4),(26916,3),(26917,1),(26918,3),(26919,1),(26920,4),(26921,5),(26922,7),(26923,5),(26924,1),(26925,1),(26926,8),(26927,4),(26928,7),(26929,5),(26930,9),(26931,2),(26932,5),(26933,1),(26934,1),(26935,1),(26936,5),(26937,7),(26938,4),(26939,9),(26940,6),(26941,6),(26942,6),(26943,6),(26944,8),(26945,8),(26946,2),(26947,1),(26948,8),(26949,6),(26950,3),(26951,3),(26952,6),(26953,9),(26954,5),(26955,6),(26956,5),(26957,8),(26958,2),(26959,6),(26960,1),(26961,6),(26962,1),(26963,9),(26964,2),(26965,2),(26966,4),(26967,7),(26968,2),(26969,4),(26970,1),(26971,8),(26972,8),(26973,3),(26974,7),(26975,7),(26976,2),(26977,5),(26978,7),(26979,5),(26980,5),(26981,3),(26982,9),(26983,1),(26984,5),(26985,9),(26986,6),(26987,9),(26988,7),(26989,2),(26990,8),(26991,2),(26992,3),(26993,4),(26994,8),(26995,8),(26996,7),(26997,8),(26998,5),(26999,7),(27000,8),(27001,7),(27002,1),(27003,5),(27004,5),(27005,9),(27006,1),(27007,3),(27008,9),(27009,9),(27010,8),(27011,8),(27012,9),(27013,5),(27014,1),(27015,4),(27016,8),(27017,6),(27018,4),(27019,5),(27020,3),(27021,8),(27022,3),(27023,1),(27024,6),(27025,6),(27026,3),(27027,4),(27028,9),(27029,8),(27030,8),(27031,9),(27032,4),(27033,5),(27034,7),(27035,8),(27036,5),(27037,1),(27038,9),(27039,5),(27040,7),(27041,8),(27042,3),(27043,6),(27044,8),(27045,5),(27046,7),(27047,1),(27048,9),(27049,8),(27050,5),(27051,2),(27052,9),(27053,1),(27054,5),(27055,3),(27056,1),(27057,1),(27058,5),(27059,7),(27060,4),(27061,4),(27062,1),(27063,6),(27064,1),(27065,6),(27066,6),(27067,3),(27068,8),(27069,2),(27070,9),(27071,8),(27072,1),(27073,4),(27074,1),(27075,6),(27076,1),(27077,3),(27078,1),(27079,6),(27080,5),(27081,7),(27082,4),(27083,4),(27084,8),(27085,6),(27086,6),(27087,5),(27088,3),(27089,9),(27090,8),(27091,4),(27092,1),(27093,9),(27094,4),(27095,9),(27096,8),(27097,9),(27098,6),(27099,7),(27100,9),(27101,4),(27102,4),(27103,7),(27104,5),(27105,7),(27106,4),(27107,3),(27108,2),(27109,7),(27110,2),(27111,3),(27112,6),(27113,2),(27114,7),(27115,8),(27116,3),(27117,2),(27118,3),(27119,9),(27120,9),(27121,8),(27122,7),(27123,9),(27124,8),(27125,9),(27126,8),(27127,9),(27128,7),(27129,1),(27130,3),(27131,4),(27132,7),(27133,8),(27134,2),(27135,2),(27136,8),(27137,5),(27138,9),(27139,2),(27140,5),(27141,5),(27142,5),(27143,4),(27144,3),(27145,3),(27146,5),(27147,9),(27148,3),(27149,4),(27150,8),(27151,5),(27152,8),(27153,3),(27154,6),(27155,8),(27156,4),(27157,4),(27158,9),(27159,4),(27160,4),(27161,3),(27162,2),(27163,6),(27164,4),(27165,5),(27166,1),(27167,8),(27168,7),(27169,7),(27170,8),(27171,3),(27172,4),(27173,1),(27174,3),(27175,8),(27176,9),(27177,1),(27178,6),(27179,3),(27180,4),(27181,1),(27182,4),(27183,8),(27184,1),(27185,2),(27186,1),(27187,5),(27188,5),(27189,7),(27190,5),(27191,7),(27192,7),(27193,7),(27194,6),(27195,3),(27196,5),(27197,9),(27198,8),(27199,5),(27200,1),(27201,2),(27202,2),(27203,2),(27204,4),(27205,5),(27206,1),(27207,4),(27208,5),(27209,4),(27210,8),(27211,5),(27212,8),(27213,8),(27214,6),(27215,9),(27216,3),(27217,3),(27218,6),(27219,1),(27220,5),(27221,1),(27222,2),(27223,6),(27224,8),(27225,9),(27226,9),(27227,6),(27228,2),(27229,1),(27230,7),(27231,7),(27232,5),(27233,3),(27234,6),(27235,4),(27236,8),(27237,8),(27238,3),(27239,7),(27240,4),(27241,8),(27242,2),(27243,8),(27244,2),(27245,4),(27246,1),(27247,4),(27248,2),(27249,6),(27250,4),(27251,6),(27252,3),(27253,6),(27254,6),(27255,6),(27256,6),(27257,2),(27258,3),(27259,4),(27260,3),(27261,3),(27262,6),(27263,9),(27264,7),(27265,5),(27266,3),(27267,5),(27268,5),(27269,7),(27270,7),(27271,7),(27272,8),(27273,3),(27274,6),(27275,2),(27276,9),(27277,1),(27278,7),(27279,9),(27280,9),(27281,9),(27282,1),(27283,2),(27284,3),(27285,1),(27286,5),(27287,7),(27288,5),(27289,5),(27290,1),(27291,9),(27292,6),(27293,7),(27294,7),(27295,2),(27296,6),(27297,6),(27298,5),(27299,8),(27300,7),(27301,7),(27302,1),(27303,8),(27304,6),(27305,1),(27306,2),(27307,8),(27308,7),(27309,9),(27310,8),(27311,8),(27312,3),(27313,1),(27314,7),(27315,8),(27316,8),(27317,8),(27318,5),(27319,7),(27320,9),(27321,7),(27322,4),(27323,8),(27324,3),(27325,9),(27326,3),(27327,1),(27328,3),(27329,8),(27330,4),(27331,8),(27332,5),(27333,4),(27334,9),(27335,4),(27336,6),(27337,3),(27338,9),(27339,7),(27340,6),(27341,4),(27342,6),(27343,9),(27344,6),(27345,2),(27346,5),(27347,2),(27348,1),(27349,7),(27350,5),(27351,5),(27352,8),(27353,5),(27354,1),(27355,2),(27356,1),(27357,7),(27358,3),(27359,4),(27360,9),(27361,6),(27362,8),(27363,4),(27364,2),(27365,1),(27366,7),(27367,5),(27368,3),(27369,5),(27370,4),(27371,1),(27372,2),(27373,1),(27374,7),(27375,9),(27376,5),(27377,7),(27378,1),(27379,1),(27380,9),(27381,2),(27382,2),(27383,9),(27384,6),(27385,3),(27386,4),(27387,1),(27388,9),(27389,8),(27390,8),(27391,3),(27392,3),(27393,6),(27394,2),(27395,4),(27396,9),(27397,2),(27398,1),(27399,2),(27400,4),(27401,8),(27402,3),(27403,1),(27404,7),(27405,9),(27406,1),(27407,3),(27408,8),(27409,6),(27410,3),(27411,4),(27412,8),(27413,6),(27414,4),(27415,6),(27416,1),(27417,8),(27418,3),(27419,6),(27420,2),(27421,1),(27422,6),(27423,6),(27424,7),(27425,2),(27426,9),(27427,2),(27428,5),(27429,4),(27430,2),(27431,6),(27432,4),(27433,3),(27434,7),(27435,8),(27436,5),(27437,6),(27438,8),(27439,2),(27440,5),(27441,7),(27442,1),(27443,3),(27444,9),(27445,3),(27446,7),(27447,8),(27448,6),(27449,7),(27450,2),(27451,4),(27452,1),(27453,7),(27454,6),(27455,7),(27456,2),(27457,3),(27458,7),(27459,5),(27460,4),(27461,4),(27462,5),(27463,9),(27464,2),(27465,1),(27466,3),(27467,7),(27468,8),(27469,5),(27470,3),(27471,7),(27472,1),(27473,1),(27474,2),(27475,2),(27476,2),(27477,9),(27478,1),(27479,6),(27480,1),(27481,2),(27482,4),(27483,6),(27484,1),(27485,5),(27486,8),(27487,3),(27488,8),(27489,5),(27490,9),(27491,6),(27492,6),(27493,3),(27494,9),(27495,4),(27496,2),(27497,3),(27498,8),(27499,3),(27500,6),(27501,3),(27502,8),(27503,1),(27504,1),(27505,1),(27506,4),(27507,7),(27508,4),(27509,9),(27510,2),(27511,6),(27512,7),(27513,4),(27514,2),(27515,2),(27516,6),(27517,1),(27518,6),(27519,4),(27520,4),(27521,6),(27522,3),(27523,9),(27524,2),(27525,4),(27526,3),(27527,7),(27528,6),(27529,3),(27530,4),(27531,2),(27532,4),(27533,4),(27534,6),(27535,1),(27536,3),(27537,3),(27538,9),(27539,9),(27540,6),(27541,6),(27542,5),(27543,3),(27544,4),(27545,3),(27546,9),(27547,3),(27548,3),(27549,6),(27550,8),(27551,3),(27552,3),(27553,6),(27554,5),(27555,4),(27556,9),(27557,4),(27558,2),(27559,1),(27560,8),(27561,7),(27562,6),(27563,6),(27564,9),(27565,6),(27566,2),(27567,3),(27568,8),(27569,6),(27570,5),(27571,3),(27572,6),(27573,7),(27574,1),(27575,8),(27576,3),(27577,7),(27578,7),(27579,2),(27580,9),(27581,1),(27582,7),(27583,5),(27584,1),(27585,3),(27586,2),(27587,5),(27588,1),(27589,3),(27590,6),(27591,9),(27592,7),(27593,6),(27594,2),(27595,1),(27596,7),(27597,4),(27598,7),(27599,8),(27600,1),(27601,1),(27602,7),(27603,2),(27604,6),(27605,7),(27606,1),(27607,9),(27608,1),(27609,9),(27610,1),(27611,6),(27612,5),(27613,3),(27614,7),(27615,2),(27616,9),(27617,9),(27618,3),(27619,3),(27620,2),(27621,7),(27622,1),(27623,9),(27624,9),(27625,5),(27626,8),(27627,1),(27628,4),(27629,7),(27630,6),(27631,4),(27632,2),(27633,3),(27634,4),(27635,2),(27636,9),(27637,3),(27638,9),(27639,9),(27640,7),(27641,4),(27642,1),(27643,1),(27644,1),(27645,3),(27646,1),(27647,5),(27648,2),(27649,8),(27650,4),(27651,2),(27652,2),(27653,9),(27654,9),(27655,7),(27656,7),(27657,7),(27658,1),(27659,8),(27660,9),(27661,1),(27662,2),(27663,3),(27664,5),(27665,2),(27666,3),(27667,1),(27668,8),(27669,5),(27670,1),(27671,7),(27672,9),(27673,4),(27674,3),(27675,2),(27676,9),(27677,8),(27678,5),(27679,5),(27680,7),(27681,4),(27682,5),(27683,6),(27684,5),(27685,6),(27686,9),(27687,6),(27688,3),(27689,8),(27690,7),(27691,3),(27692,8),(27693,1),(27694,2),(27695,9),(27696,4),(27697,2),(27698,4),(27699,4),(27700,3),(27701,6),(27702,1),(27703,9),(27704,3),(27705,7),(27706,1),(27707,1),(27708,5),(27709,1),(27710,6),(27711,9),(27712,3),(27713,7),(27714,8),(27715,8),(27716,1),(27717,7),(27718,2),(27719,6),(27720,4),(27721,6),(27722,3),(27723,5),(27724,6),(27725,8),(27726,9),(27727,2),(27728,9),(27729,7),(27730,5),(27731,5),(27732,1),(27733,5),(27734,2),(27735,2),(27736,7),(27737,7),(27738,2),(27739,3),(27740,7),(27741,3),(27742,3),(27743,3),(27744,3),(27745,4),(27746,8),(27747,5),(27748,9),(27749,8),(27750,5),(27751,7),(27752,2),(27753,6),(27754,6),(27755,1),(27756,6),(27757,6),(27758,4),(27759,3),(27760,1),(27761,8),(27762,3),(27763,2),(27764,4),(27765,3),(27766,3),(27767,5),(27768,4),(27769,3),(27770,9),(27771,9),(27772,8),(27773,8),(27774,4),(27775,1),(27776,5),(27777,9),(27778,2),(27779,4),(27780,3),(27781,1),(27782,7),(27783,5),(27784,8),(27785,5),(27786,7),(27787,7),(27788,3),(27789,1),(27790,8),(27791,4),(27792,1),(27793,5),(27794,4),(27795,2),(27796,4),(27797,4),(27798,1),(27799,1),(27800,5),(27801,4),(27802,9),(27803,5),(27804,1),(27805,8),(27806,9),(27807,4),(27808,6),(27809,5),(27810,5),(27811,2),(27812,4),(27813,8),(27814,7),(27815,5),(27816,4),(27817,3),(27818,8),(27819,1),(27820,3),(27821,5),(27822,5),(27823,4),(27824,5),(27825,3),(27826,6),(27827,4),(27828,8),(27829,1),(27830,3),(27831,8),(27832,5),(27833,3),(27834,1),(27835,1),(27836,2),(27837,2),(27838,4),(27839,5),(27840,1),(27841,4),(27842,8),(27843,1),(27844,7),(27845,5),(27846,5),(27847,6),(27848,6),(27849,4),(27850,6),(27851,1),(27852,7),(27853,3),(27854,3),(27855,7),(27856,4),(27857,6),(27858,3),(27859,9),(27860,5),(27861,5),(27862,8),(27863,6),(27864,6),(27865,6),(27866,8),(27867,4),(27868,6),(27869,9),(27870,2),(27871,7),(27872,9),(27873,5),(27874,6),(27875,8),(27876,5),(27877,2),(27878,5),(27879,6),(27880,8),(27881,8),(27882,8),(27883,3),(27884,6),(27885,1),(27886,6),(27887,5),(27888,7),(27889,5),(27890,5),(27891,3),(27892,4),(27893,8),(27894,8),(27895,7),(27896,2),(27897,8),(27898,3),(27899,8),(27900,5),(27901,2),(27902,3),(27903,3),(27904,7),(27905,7),(27906,3),(27907,4),(27908,1),(27909,7),(27910,7),(27911,3),(27912,4),(27913,8),(27914,3),(27915,7),(27916,6),(27917,1),(27918,5),(27919,2),(27920,3),(27921,9),(27922,4),(27923,6),(27924,6),(27925,2),(27926,6),(27927,2),(27928,3),(27929,5),(27930,1),(27931,9),(27932,3),(27933,9),(27934,1),(27935,5),(27936,1),(27937,9),(27938,6),(27939,5),(27940,4),(27941,6),(27942,9),(27943,7),(27944,5),(27945,8),(27946,4),(27947,2),(27948,1),(27949,4),(27950,7),(27951,4),(27952,5),(27953,9),(27954,4),(27955,5),(27956,3),(27957,1),(27958,4),(27959,3),(27960,3),(27961,9),(27962,1),(27963,1),(27964,7),(27965,8),(27966,7),(27967,9),(27968,6),(27969,2),(27970,7),(27971,5),(27972,3),(27973,6),(27974,3),(27975,7),(27976,2),(27977,7),(27978,9),(27979,8),(27980,7),(27981,7),(27982,8),(27983,1),(27984,7),(27985,4),(27986,4),(27987,7),(27988,9),(27989,3),(27990,2),(27991,8),(27992,5),(27993,2),(27994,7),(27995,9),(27996,1),(27997,4),(27998,2),(27999,6),(28000,3),(28001,2),(28002,2),(28003,7),(28004,3),(28005,9),(28006,5),(28007,6),(28008,5),(28009,8),(28010,7),(28011,9),(28012,3),(28013,1),(28014,1),(28015,3),(28016,9),(28017,5),(28018,3),(28019,7),(28020,2),(28021,4),(28022,3),(28023,8),(28024,5),(28025,2),(28026,3),(28027,3),(28028,1),(28029,6),(28030,3),(28031,8),(28032,2),(28033,1),(28034,1),(28035,7),(28036,9),(28037,6),(28038,4),(28039,2),(28040,9),(28041,5),(28042,7),(28043,4),(28044,9),(28045,2),(28046,7),(28047,3),(28048,8),(28049,3),(28050,1),(28051,1),(28052,5),(28053,2),(28054,3),(28055,1),(28056,1),(28057,4),(28058,2),(28059,8),(28060,7),(28061,3),(28062,7),(28063,8),(28064,8),(28065,3),(28066,9),(28067,8),(28068,5),(28069,5),(28070,4),(28071,5),(28072,4),(28073,1),(28074,2),(28075,3),(28076,7),(28077,4),(28078,9),(28079,2),(28080,7),(28081,7),(28082,7),(28083,5),(28084,1),(28085,6),(28086,1),(28087,7),(28088,4),(28089,7),(28090,1),(28091,4),(28092,4),(28093,6),(28094,3),(28095,3),(28096,4),(28097,6),(28098,7),(28099,7),(28100,8),(28101,2),(28102,3),(28103,3),(28104,3),(28105,5),(28106,1),(28107,6),(28108,4),(28109,4),(28110,5),(28111,8),(28112,7),(28113,8),(28114,7),(28115,6),(28116,7),(28117,2),(28118,5),(28119,1),(28120,2),(28121,7),(28122,7),(28123,5),(28124,3),(28125,5),(28126,2),(28127,3),(28128,3),(28129,3),(28130,1),(28131,6),(28132,2),(28133,1),(28134,3),(28135,8),(28136,9),(28137,2),(28138,2),(28139,5),(28140,7),(28141,9),(28142,7),(28143,2),(28144,3),(28145,5),(28146,4),(28147,7),(28148,2),(28149,5),(28150,1),(28151,3),(28152,3),(28153,3),(28154,1),(28155,9),(28156,4),(28157,2),(28158,9),(28159,3),(28160,8),(28161,7),(28162,3),(28163,3),(28164,1),(28165,8),(28166,7),(28167,5),(28168,4),(28169,1),(28170,3),(28171,8),(28172,9),(28173,2),(28174,7),(28175,2),(28176,3),(28177,2),(28178,5),(28179,2),(28180,5),(28181,2),(28182,3),(28183,5),(28184,8),(28185,2),(28186,3),(28187,1),(28188,7),(28189,4),(28190,7),(28191,5),(28192,5),(28193,3),(28194,6),(28195,1),(28196,2),(28197,3),(28198,7),(28199,2),(28200,3),(28201,2),(28202,6),(28203,2),(28204,7),(28205,3),(28206,6),(28207,4),(28208,7),(28209,6),(28210,5),(28211,4),(28212,6),(28213,2),(28214,1),(28215,5),(28216,3),(28217,3),(28218,6),(28219,1),(28220,4),(28221,2),(28222,5),(28223,6),(28224,2),(28225,5),(28226,1),(28227,3),(28228,7),(28229,3),(28230,1),(28231,4),(28232,3),(28233,8),(28234,8),(28235,2),(28236,9),(28237,4),(28238,7),(28239,8),(28240,9),(28241,8),(28242,5),(28243,8),(28244,5),(28245,4),(28246,2),(28247,6),(28248,9),(28249,9),(28250,3),(28251,3),(28252,8),(28253,5),(28254,1),(28255,2),(28256,8),(28257,1),(28258,4),(28259,5),(28260,9),(28261,1),(28262,2),(28263,3),(28264,8),(28265,5),(28266,8),(28267,6),(28268,6),(28269,5),(28270,2),(28271,8),(28272,5),(28273,3),(28274,5),(28275,9),(28276,5),(28277,3),(28278,7),(28279,5),(28280,2),(28281,6),(28282,2),(28283,8),(28284,8),(28285,2),(28286,8),(28287,1),(28288,3),(28289,7),(28290,3),(28291,2),(28292,4),(28293,9),(28294,8),(28295,5),(28296,9),(28297,3),(28298,2),(28299,1),(28300,5),(28301,5),(28302,2),(28303,1),(28304,6),(28305,5),(28306,6),(28307,2),(28308,8),(28309,8),(28310,4),(28311,4),(28312,2),(28313,4),(28314,5),(28315,3),(28316,9),(28317,3),(28318,7),(28319,7),(28320,3),(28321,2),(28322,8),(28323,9),(28324,1),(28325,1),(28326,4),(28327,4),(28328,3),(28329,6),(28330,2),(28331,2),(28332,6),(28333,2),(28334,7),(28335,1),(28336,2),(28337,2),(28338,5),(28339,5),(28340,5),(28341,8),(28342,1),(28343,2),(28344,9),(28345,5),(28346,1),(28347,1),(28348,3),(28349,8),(28350,2),(28351,4),(28352,6),(28353,3),(28354,9),(28355,5),(28356,3),(28357,7),(28358,3),(28359,1),(28360,2),(28361,1),(28362,8),(28363,8),(28364,6),(28365,3),(28366,8),(28367,2),(28368,1),(28369,4),(28370,4),(28371,3),(28372,6),(28373,2),(28374,2),(28375,7),(28376,8),(28377,6),(28378,5),(28379,6),(28380,1),(28381,4),(28382,4),(28383,4),(28384,1),(28385,3),(28386,3),(28387,4),(28388,5),(28389,5),(28390,2),(28391,3),(28392,2),(28393,5),(28394,5),(28395,9),(28396,8),(28397,2),(28398,6),(28399,4),(28400,3),(28401,4),(28402,7),(28403,3),(28404,5),(28405,4),(28406,2),(28407,1),(28408,9),(28409,8),(28410,8),(28411,8),(28412,6),(28413,8),(28414,5),(28415,3),(28416,1),(28417,4),(28418,1),(28419,8),(28420,2),(28421,5),(28422,2),(28423,2),(28424,3),(28425,3),(28426,2),(28427,1),(28428,3),(28429,7),(28430,2),(28431,6),(28432,3),(28433,9),(28434,1),(28435,6),(28436,2),(28437,1),(28438,3),(28439,6),(28440,4),(28441,6),(28442,8),(28443,8),(28444,5),(28445,8),(28446,7),(28447,9),(28448,4),(28449,9),(28450,4),(28451,1),(28452,6),(28453,1),(28454,6),(28455,4),(28456,8),(28457,9),(28458,9),(28459,7),(28460,9),(28461,9),(28462,8),(28463,9),(28464,9),(28465,7),(28466,6),(28467,6),(28468,7),(28469,7),(28470,4),(28471,4),(28472,6),(28473,7),(28474,8),(28475,7),(28476,5),(28477,7),(28478,5),(28479,8),(28480,7),(28481,9),(28482,6),(28483,6),(28484,4),(28485,4),(28486,4),(28487,1),(28488,9),(28489,6),(28490,2),(28491,9),(28492,1),(28493,7),(28494,7),(28495,8),(28496,1),(28497,1),(28498,8),(28499,5),(28500,2),(28501,3),(28502,8),(28503,3),(28504,3),(28505,8),(28506,7),(28507,8),(28508,9),(28509,7),(28510,5),(28511,1),(28512,3),(28513,4),(28514,7),(28515,2),(28516,5),(28517,9),(28518,1),(28519,4),(28520,6),(28521,3),(28522,5),(28523,1),(28524,3),(28525,2),(28526,9),(28527,7),(28528,5),(28529,5),(28530,3),(28531,5),(28532,3),(28533,5),(28534,8),(28535,4),(28536,4),(28537,1),(28538,8),(28539,7),(28540,1),(28541,4),(28542,2),(28543,4),(28544,7),(28545,5),(28546,4),(28547,3),(28548,8),(28549,4),(28550,1),(28551,4),(28552,2),(28553,4),(28554,7),(28555,7),(28556,3),(28557,5),(28558,3),(28559,5),(28560,6),(28561,4),(28562,8),(28563,5),(28564,8),(28565,8),(28566,7),(28567,8),(28568,2),(28569,9),(28570,8),(28571,6),(28572,6),(28573,3),(28574,9),(28575,9),(28576,8),(28577,8),(28578,8),(28579,3),(28580,7),(28581,1),(28582,5),(28583,2),(28584,6),(28585,4),(28586,7),(28587,6),(28588,1),(28589,6),(28590,8),(28591,3),(28592,3),(28593,9),(28594,4),(28595,7),(28596,6),(28597,3),(28598,4),(28599,7),(28600,9),(28601,6),(28602,3),(28603,7),(28604,7),(28605,5),(28606,3),(28607,7),(28608,7),(28609,6),(28610,7),(28611,3),(28612,1),(28613,9),(28614,6),(28615,1),(28616,5),(28617,3),(28618,7),(28619,5),(28620,5),(28621,7),(28622,5),(28623,1),(28624,8),(28625,5),(28626,6),(28627,5),(28628,6),(28629,8),(28630,5),(28631,9),(28632,5),(28633,4),(28634,2),(28635,4),(28636,7),(28637,8),(28638,3),(28639,4),(28640,1),(28641,1),(28642,8),(28643,9),(28644,1),(28645,2),(28646,9),(28647,4),(28648,9),(28649,2),(28650,4),(28651,6),(28652,1),(28653,7),(28654,8),(28655,5),(28656,3),(28657,2),(28658,6),(28659,7),(28660,4),(28661,4),(28662,4),(28663,8),(28664,9),(28665,2),(28666,8),(28667,9),(28668,6),(28669,6),(28670,7),(28671,7),(28672,2),(28673,2),(28674,2),(28675,7),(28676,5),(28677,5),(28678,7),(28679,9),(28680,7),(28681,5),(28682,3),(28683,3),(28684,7),(28685,7),(28686,3),(28687,2),(28688,1),(28689,7),(28690,9),(28691,7),(28692,4),(28693,4),(28694,6),(28695,9),(28696,2),(28697,6),(28698,9),(28699,4),(28700,2),(28701,2),(28702,6),(28703,5),(28704,2),(28705,9),(28706,9),(28707,9),(28708,9),(28709,1),(28710,6),(28711,7),(28712,5),(28713,5),(28714,5),(28715,3),(28716,7),(28717,3),(28718,5),(28719,2),(28720,9),(28721,3),(28722,8),(28723,9),(28724,4),(28725,2),(28726,9),(28727,4),(28728,3),(28729,7),(28730,6),(28731,7),(28732,4),(28733,7),(28734,4),(28735,2),(28736,5),(28737,6),(28738,8),(28739,8),(28740,5),(28741,5),(28742,8),(28743,5),(28744,4),(28745,7),(28746,5),(28747,9),(28748,1),(28749,7),(28750,2),(28751,6),(28752,3),(28753,7),(28754,1),(28755,8),(28756,5),(28757,3),(28758,2),(28759,9),(28760,5),(28761,3),(28762,1),(28763,3),(28764,9),(28765,5),(28766,9),(28767,5),(28768,2),(28769,6),(28770,6),(28771,3),(28772,2),(28773,6),(28774,4),(28775,5),(28776,9),(28777,9),(28778,9),(28779,9),(28780,5),(28781,1),(28782,9),(28783,1),(28784,1),(28785,4),(28786,7),(28787,5),(28788,3),(28789,3),(28790,4),(28791,7),(28792,7),(28793,3),(28794,1),(28795,2),(28796,5),(28797,1),(28798,6),(28799,2),(28800,4),(28801,8),(28802,9),(28803,2),(28804,5),(28805,2),(28806,5),(28807,2),(28808,1),(28809,6),(28810,9),(28811,8),(28812,4),(28813,4),(28814,6),(28815,5),(28816,8),(28817,5),(28818,8),(28819,7),(28820,8),(28821,7),(28822,6),(28823,7),(28824,8),(28825,2),(28826,6),(28827,6),(28828,2),(28829,6),(28830,4),(28831,9),(28832,1),(28833,1),(28834,8),(28835,9),(28836,8),(28837,2),(28838,3),(28839,9),(28840,3),(28841,4),(28842,4),(28843,8),(28844,4),(28845,6),(28846,2),(28847,6),(28848,6),(28849,2),(28850,5),(28851,7),(28852,4),(28853,7),(28854,6),(28855,8),(28856,9),(28857,5),(28858,3),(28859,6),(28860,8),(28861,7),(28862,3),(28863,4),(28864,3),(28865,7),(28866,7),(28867,8),(28868,9),(28869,5),(28870,3),(28871,3),(28872,8),(28873,6),(28874,6),(28875,8),(28876,4),(28877,5),(28878,7),(28879,1),(28880,3),(28881,4),(28882,1),(28883,5),(28884,3),(28885,1),(28886,2),(28887,6),(28888,7),(28889,9),(28890,1),(28891,7),(28892,3),(28893,6),(28894,1),(28895,1),(28896,2),(28897,1),(28898,9),(28899,4),(28900,6),(28901,9),(28902,7),(28903,8),(28904,7),(28905,5),(28906,4),(28907,2),(28908,9),(28909,2),(28910,3),(28911,9),(28912,3),(28913,1),(28914,4),(28915,4),(28916,4),(28917,3),(28918,6),(28919,5),(28920,4),(28921,9),(28922,7),(28923,9),(28924,3),(28925,7),(28926,1),(28927,1),(28928,5),(28929,3),(28930,3),(28931,9),(28932,3),(28933,1),(28934,6),(28935,1),(28936,9),(28937,9),(28938,1),(28939,1),(28940,8),(28941,4),(28942,6),(28943,5),(28944,9),(28945,4),(28946,6),(28947,6),(28948,1),(28949,9),(28950,3),(28951,7),(28952,6),(28953,5),(28954,6),(28955,3),(28956,6),(28957,7),(28958,6),(28959,1),(28960,6),(28961,5),(28962,5),(28963,8),(28964,7),(28965,6),(28966,9),(28967,8),(28968,3),(28969,4),(28970,8),(28971,6),(28972,7),(28973,5),(28974,7),(28975,8),(28976,5),(28977,4),(28978,8),(28979,6),(28980,7),(28981,6),(28982,2),(28983,7),(28984,5),(28985,5),(28986,1),(28987,6),(28988,3),(28989,4),(28990,1),(28991,9),(28992,9),(28993,3),(28994,8),(28995,8),(28996,9),(28997,8),(28998,4),(28999,1),(29000,5),(29001,3),(29002,5),(29003,3),(29004,8),(29005,9),(29006,3),(29007,2),(29008,2),(29009,1),(29010,4),(29011,9),(29012,1),(29013,1),(29014,9),(29015,7),(29016,9),(29017,5),(29018,1),(29019,1),(29020,1),(29021,3),(29022,9),(29023,2),(29024,3),(29025,8),(29026,8),(29027,6),(29028,8),(29029,9),(29030,1),(29031,9),(29032,4),(29033,1),(29034,1),(29035,2),(29036,7),(29037,7),(29038,6),(29039,7),(29040,9),(29041,8),(29042,3),(29043,6),(29044,5),(29045,5),(29046,2),(29047,9),(29048,2),(29049,9),(29050,6),(29051,2),(29052,3),(29053,2),(29054,2),(29055,2),(29056,4),(29057,5),(29058,4),(29059,7),(29060,4),(29061,4),(29062,6),(29063,4),(29064,7),(29065,6),(29066,1),(29067,2),(29068,5),(29069,2),(29070,5),(29071,3),(29072,5),(29073,9),(29074,5),(29075,9),(29076,9),(29077,6),(29078,8),(29079,4),(29080,6),(29081,2),(29082,7),(29083,1),(29084,3),(29085,5),(29086,8),(29087,4),(29088,6),(29089,6),(29090,7),(29091,1),(29092,3),(29093,6),(29094,3),(29095,9),(29096,4),(29097,2),(29098,9),(29099,5),(29100,7),(29101,9),(29102,8),(29103,4),(29104,1),(29105,7),(29106,1),(29107,9),(29108,7),(29109,5),(29110,2),(29111,4),(29112,6),(29113,2),(29114,8),(29115,4),(29116,7),(29117,9),(29118,9),(29119,4),(29120,5),(29121,5),(29122,4),(29123,1),(29124,1),(29125,6),(29126,2),(29127,8),(29128,9),(29129,2),(29130,9),(29131,9),(29132,8),(29133,5),(29134,4),(29135,8),(29136,4),(29137,4),(29138,2),(29139,3),(29140,8),(29141,2),(29142,3),(29143,6),(29144,5),(29145,4),(29146,2),(29147,7),(29148,4),(29149,1),(29150,7),(29151,4),(29152,4),(29153,9),(29154,3),(29155,7),(29156,6),(29157,2),(29158,7),(29159,3),(29160,7),(29161,2),(29162,4),(29163,8),(29164,2),(29165,6),(29166,8),(29167,2),(29168,1),(29169,6),(29170,7),(29171,1),(29172,7),(29173,3),(29174,3),(29175,3),(29176,1),(29177,5),(29178,6),(29179,1),(29180,6),(29181,5),(29182,8),(29183,3),(29184,5),(29185,5),(29186,7),(29187,5),(29188,1),(29189,3),(29190,3),(29191,4),(29192,6),(29193,1),(29194,5),(29195,9),(29196,6),(29197,3),(29198,6),(29199,1),(29200,2),(29201,8),(29202,2),(29203,1),(29204,5),(29205,2),(29206,5),(29207,1),(29208,5),(29209,3),(29210,4),(29211,8),(29212,6),(29213,4),(29214,7),(29215,7),(29216,8),(29217,1),(29218,9),(29219,5),(29220,5),(29221,8),(29222,8),(29223,2),(29224,6),(29225,7),(29226,3),(29227,4),(29228,2),(29229,9),(29230,5),(29231,9),(29232,2),(29233,5),(29234,3),(29235,3),(29236,7),(29237,2),(29238,6),(29239,3),(29240,3),(29241,9),(29242,7),(29243,9),(29244,7),(29245,2),(29246,3),(29247,1),(29248,5),(29249,9),(29250,9),(29251,8),(29252,5),(29253,6),(29254,4),(29255,2),(29256,6),(29257,3),(29258,5),(29259,1),(29260,7),(29261,6),(29262,7),(29263,1),(29264,8),(29265,2),(29266,5),(29267,3),(29268,3),(29269,2),(29270,4),(29271,8),(29272,1),(29273,5),(29274,9),(29275,4),(29276,5),(29277,2),(29278,5),(29279,5),(29280,4),(29281,4),(29282,3),(29283,2),(29284,1),(29285,4),(29286,1),(29287,2),(29288,5),(29289,3),(29290,4),(29291,6),(29292,2),(29293,5),(29294,2),(29295,4),(29296,6),(29297,6),(29298,4),(29299,3),(29300,4),(29301,4),(29302,4),(29303,9),(29304,2),(29305,1),(29306,7),(29307,2),(29308,5),(29309,7),(29310,6),(29311,5),(29312,7),(29313,6),(29314,2),(29315,3),(29316,6),(29317,9),(29318,4),(29319,1),(29320,3),(29321,5),(29322,9),(29323,2),(29324,8),(29325,5),(29326,4),(29327,3),(29328,1),(29329,2),(29330,4),(29331,3),(29332,8),(29333,9),(29334,6),(29335,1),(29336,7),(29337,1),(29338,1),(29339,2),(29340,7),(29341,6),(29342,2),(29343,4),(29344,9),(29345,4),(29346,8),(29347,9),(29348,5),(29349,8),(29350,6),(29351,3),(29352,9),(29353,7),(29354,4),(29355,1),(29356,8),(29357,6),(29358,4),(29359,7),(29360,6),(29361,5),(29362,2),(29363,3),(29364,8),(29365,7),(29366,3),(29367,9),(29368,7),(29369,8),(29370,5),(29371,6),(29372,9),(29373,5),(29374,6),(29375,2),(29376,3),(29377,1),(29378,7),(29379,5),(29380,5),(29381,4),(29382,2),(29383,4),(29384,3),(29385,1),(29386,9),(29387,8),(29388,5),(29389,4),(29390,7),(29391,9),(29392,4),(29393,4),(29394,9),(29395,8),(29396,2),(29397,2),(29398,8),(29399,7),(29400,1),(29401,7),(29402,5),(29403,5),(29404,1),(29405,9),(29406,9),(29407,8),(29408,9),(29409,3),(29410,6),(29411,8),(29412,2),(29413,7),(29414,9),(29415,2),(29416,4),(29417,2),(29418,7),(29419,2),(29420,1),(29421,2),(29422,7),(29423,2),(29424,7),(29425,4),(29426,5),(29427,9),(29428,4),(29429,1),(29430,6),(29431,4),(29432,6),(29433,6),(29434,7),(29435,8),(29436,1),(29437,2),(29438,5),(29439,4),(29440,3),(29441,7),(29442,6),(29443,6),(29444,3),(29445,5),(29446,9),(29447,2),(29448,7),(29449,1),(29450,5),(29451,6),(29452,8),(29453,2),(29454,5),(29455,1),(29456,3),(29457,2),(29458,1),(29459,3),(29460,7),(29461,6),(29462,1),(29463,6),(29464,9),(29465,8),(29466,5),(29467,6),(29468,6),(29469,8),(29470,4),(29471,1),(29472,6),(29473,3),(29474,4),(29475,3),(29476,7),(29477,3),(29478,3),(29479,7),(29480,3),(29481,7),(29482,9),(29483,4),(29484,6),(29485,2),(29486,2),(29487,3),(29488,9),(29489,5),(29490,7),(29491,6),(29492,5),(29493,7),(29494,2),(29495,2),(29496,2),(29497,6),(29498,9),(29499,5),(29500,8),(29501,7),(29502,7),(29503,6),(29504,2),(29505,6),(29506,5),(29507,2),(29508,8),(29509,6),(29510,5),(29511,1),(29512,6),(29513,2),(29514,4),(29515,7),(29516,9),(29517,7),(29518,6),(29519,3),(29520,9),(29521,8),(29522,7),(29523,7),(29524,3),(29525,3),(29526,5),(29527,6),(29528,9),(29529,6),(29530,7),(29531,7),(29532,6),(29533,4),(29534,1),(29535,3),(29536,7),(29537,4),(29538,2),(29539,7),(29540,4),(29541,1),(29542,7),(29543,8),(29544,5),(29545,2),(29546,6),(29547,2),(29548,8),(29549,5),(29550,6),(29551,7),(29552,4),(29553,3),(29554,4),(29555,8),(29556,7),(29557,9),(29558,3),(29559,6),(29560,3),(29561,9),(29562,8),(29563,6),(29564,8),(29565,2),(29566,3),(29567,6),(29568,3),(29569,1),(29570,1),(29571,9),(29572,1),(29573,8),(29574,6),(29575,4),(29576,8),(29577,4),(29578,4),(29579,5),(29580,6),(29581,9),(29582,8),(29583,2),(29584,7),(29585,5),(29586,5),(29587,1),(29588,4),(29589,9),(29590,1),(29591,2),(29592,1),(29593,3),(29594,9),(29595,3),(29596,6),(29597,3),(29598,8),(29599,6),(29600,7),(29601,9),(29602,6),(29603,1),(29604,2),(29605,3),(29606,8),(29607,4),(29608,9),(29609,8),(29610,2),(29611,1),(29612,1),(29613,4),(29614,9),(29615,9),(29616,1),(29617,6),(29618,8),(29619,2),(29620,4),(29621,1),(29622,5),(29623,2),(29624,6),(29625,1),(29626,3),(29627,3),(29628,5),(29629,5),(29630,1),(29631,5),(29632,2),(29633,5),(29634,7),(29635,2),(29636,6),(29637,6),(29638,5),(29639,1),(29640,6),(29641,4),(29642,9),(29643,5),(29644,7),(29645,6),(29646,5),(29647,4),(29648,7),(29649,8),(29650,6),(29651,9),(29652,3),(29653,2),(29654,1),(29655,7),(29656,8),(29657,8),(29658,6),(29659,3),(29660,4),(29661,6),(29662,7),(29663,5),(29664,9),(29665,6),(29666,2),(29667,1),(29668,7),(29669,6),(29670,2),(29671,5),(29672,5),(29673,4),(29674,2),(29675,4),(29676,1),(29677,9),(29678,1),(29679,6),(29680,2),(29681,4),(29682,9),(29683,8),(29684,3),(29685,7),(29686,5),(29687,8),(29688,9),(29689,4),(29690,8),(29691,2),(29692,7),(29693,8),(29694,1),(29695,7),(29696,4),(29697,2),(29698,9),(29699,5),(29700,3),(29701,7),(29702,8),(29703,1),(29704,6),(29705,5),(29706,4),(29707,3),(29708,3),(29709,2),(29710,4),(29711,8),(29712,8),(29713,2),(29714,1),(29715,4),(29716,4),(29717,4),(29718,8),(29719,5),(29720,9),(29721,6),(29722,9),(29723,5),(29724,5),(29725,1),(29726,7),(29727,8),(29728,9),(29729,8),(29730,1),(29731,7),(29732,5),(29733,1),(29734,4),(29735,9),(29736,8),(29737,4),(29738,4),(29739,6),(29740,5),(29741,1),(29742,1),(29743,5),(29744,3),(29745,7),(29746,2),(29747,4),(29748,6),(29749,4),(29750,5),(29751,2),(29752,1),(29753,9),(29754,8),(29755,8),(29756,1),(29757,5),(29758,9),(29759,2),(29760,4),(29761,1),(29762,2),(29763,5),(29764,3),(29765,6),(29766,1),(29767,4),(29768,3),(29769,5),(29770,9),(29771,1),(29772,7),(29773,8),(29774,3),(29775,4),(29776,7),(29777,6),(29778,6),(29779,8),(29780,8),(29781,9),(29782,1),(29783,7),(29784,9),(29785,1),(29786,6),(29787,2),(29788,2),(29789,9),(29790,7),(29791,2),(29792,5),(29793,7),(29794,2),(29795,8),(29796,6),(29797,9),(29798,6),(29799,9),(29800,5),(29801,7),(29802,1),(29803,5),(29804,9),(29805,8),(29806,3),(29807,9),(29808,6),(29809,4),(29810,8),(29811,2),(29812,2),(29813,8),(29814,7),(29815,5),(29816,2),(29817,3),(29818,8),(29819,6),(29820,5),(29821,8),(29822,5),(29823,9),(29824,5),(29825,9),(29826,8),(29827,4),(29828,9),(29829,5),(29830,8),(29831,1),(29832,5),(29833,6),(29834,3),(29835,7),(29836,3),(29837,4),(29838,3),(29839,4),(29840,3),(29841,5),(29842,8),(29843,6),(29844,9),(29845,6),(29846,9),(29847,1),(29848,4),(29849,4),(29850,2),(29851,1),(29852,8),(29853,8),(29854,5),(29855,1),(29856,6),(29857,4),(29858,2),(29859,1),(29860,3),(29861,6),(29862,7),(29863,5),(29864,5),(29865,8),(29866,8),(29867,6),(29868,7),(29869,2),(29870,6),(29871,4),(29872,3),(29873,7),(29874,3),(29875,4),(29876,9),(29877,3),(29878,2),(29879,3),(29880,4),(29881,6),(29882,9),(29883,1),(29884,5),(29885,4),(29886,9),(29887,6),(29888,9),(29889,7),(29890,6),(29891,3),(29892,1),(29893,2),(29894,6),(29895,6),(29896,1),(29897,3),(29898,9),(29899,1),(29900,1),(29901,8),(29902,3),(29903,7),(29904,6),(29905,7),(29906,6),(29907,6),(29908,4),(29909,1),(29910,6),(29911,6),(29912,4),(29913,9),(29914,1),(29915,4),(29916,5),(29917,5),(29918,5),(29919,9),(29920,1),(29921,7),(29922,8),(29923,3),(29924,4),(29925,9),(29926,1),(29927,9),(29928,9),(29929,8),(29930,5),(29931,3),(29932,1),(29933,3),(29934,8),(29935,6),(29936,3),(29937,4),(29938,2),(29939,3),(29940,8),(29941,4),(29942,9),(29943,2),(29944,5),(29945,9),(29946,1),(29947,6),(29948,2),(29949,5),(29950,1),(29951,3),(29952,1),(29953,9),(29954,5),(29955,8),(29956,4),(29957,9),(29958,1),(29959,3),(29960,1),(29961,9),(29962,9),(29963,6),(29964,8),(29965,2),(29966,5),(29967,5),(29968,5),(29969,9),(29970,2),(29971,4),(29972,2),(29973,4),(29974,2),(29975,1),(29976,9),(29977,9),(29978,2),(29979,4),(29980,2),(29981,2),(29982,2),(29983,8),(29984,5),(29985,7),(29986,7),(29987,6),(29988,6),(29989,3),(29990,7),(29991,6),(29992,1),(29993,9),(29994,9),(29995,4),(29996,6),(29997,2),(29998,9),(29999,2),(30000,3),(30001,1),(30002,5),(30003,2),(30004,5),(30005,5),(30006,5),(30007,4),(30008,7),(30009,1),(30010,6),(30011,3),(30012,8),(30013,5),(30014,3),(30015,5),(30016,1),(30017,3),(30018,1),(30019,7),(30020,3),(30021,3),(30022,6),(30023,5),(30024,5),(30025,8),(30026,2),(30027,6),(30028,1),(30029,7),(30030,1),(30031,9),(30032,3),(30033,9),(30034,7),(30035,4),(30036,5),(30037,3),(30038,4),(30039,5),(30040,3),(30041,3),(30042,6),(30043,9),(30044,6),(30045,2),(30046,3),(30047,7),(30048,4),(30049,8),(30050,3),(30051,5),(30052,2),(30053,9),(30054,1),(30055,5),(30056,3),(30057,3),(30058,2),(30059,2),(30060,8),(30061,3),(30062,7),(30063,4),(30064,2),(30065,9),(30066,9),(30067,9),(30068,5),(30069,5),(30070,2),(30071,1),(30072,2),(30073,9),(30074,8),(30075,3),(30076,8),(30077,9),(30078,7),(30079,7),(30080,7),(30081,2),(30082,9),(30083,6),(30084,2),(30085,9),(30086,2),(30087,1),(30088,7),(30089,9),(30090,2),(30091,7),(30092,7),(30093,6),(30094,6),(30095,5),(30096,3),(30097,7),(30098,3),(30099,6),(30100,2),(30101,8),(30102,4),(30103,4),(30104,7),(30105,3),(30106,4),(30107,8),(30108,8),(30109,9),(30110,5),(30111,6),(30112,1),(30113,5),(30114,7),(30115,7),(30116,8),(30117,3),(30118,2),(30119,8),(30120,4),(30121,2),(30122,7),(30123,1),(30124,4),(30125,4),(30126,8),(30127,1),(30128,6),(30129,6),(30130,4),(30131,2),(30132,3),(30133,8),(30134,3),(30135,8),(30136,7),(30137,8),(30138,8),(30139,2),(30140,3),(30141,8),(30142,4),(30143,9),(30144,7),(30145,8),(30146,6),(30147,7),(30148,8),(30149,9),(30150,7),(30151,8),(30152,8),(30153,3),(30154,4),(30155,9),(30156,1),(30157,7),(30158,1),(30159,4),(30160,6),(30161,3),(30162,8),(30163,9),(30164,4),(30165,9),(30166,1),(30167,2),(30168,6),(30169,4),(30170,2),(30171,7),(30172,4),(30173,8),(30174,8),(30175,9),(30176,3),(30177,5),(30178,6),(30179,5),(30180,4),(30181,7),(30182,4),(30183,1),(30184,3),(30185,2),(30186,1),(30187,4),(30188,9),(30189,3),(30190,9),(30191,1),(30192,3),(30193,1),(30194,6),(30195,8),(30196,4),(30197,1),(30198,3),(30199,4),(30200,4),(30201,6),(30202,6),(30203,5),(30204,2),(30205,5),(30206,9),(30207,9),(30208,5),(30209,3),(30210,8),(30211,9),(30212,9),(30213,8),(30214,3),(30215,2),(30216,1),(30217,6),(30218,7),(30219,9),(30220,8),(30221,1),(30222,4),(30223,1),(30224,9),(30225,4),(30226,1),(30227,6),(30228,5),(30229,8),(30230,9),(30231,9),(30232,3),(30233,3),(30234,8),(30235,3),(30236,1),(30237,4),(30238,1),(30239,3),(30240,2),(30241,6),(30242,7),(30243,1),(30244,6),(30245,7),(30246,7),(30247,6),(30248,9),(30249,7),(30250,7),(30251,9),(30252,6),(30253,2),(30254,5),(30255,6),(30256,1),(30257,3),(30258,1),(30259,7),(30260,2),(30261,4),(30262,6),(30263,6),(30264,5),(30265,7),(30266,7),(30267,1),(30268,1),(30269,8),(30270,7),(30271,4),(30272,7),(30273,5),(30274,3),(30275,8),(30276,5),(30277,9),(30278,4),(30279,7),(30280,7),(30281,5),(30282,3),(30283,6),(30284,3),(30285,7),(30286,5),(30287,1),(30288,5),(30289,9),(30290,3),(30291,6),(30292,6),(30293,6),(30294,5),(30295,9),(30296,6),(30297,8),(30298,2),(30299,4),(30300,6),(30301,4),(30302,5),(30303,6),(30304,9),(30305,9),(30306,7),(30307,6),(30308,9),(30309,7),(30310,6),(30311,2),(30312,5),(30313,3),(30314,6),(30315,9),(30316,8),(30317,2),(30318,1),(30319,4),(30320,1),(30321,3),(30322,5),(30323,2),(30324,8),(30325,7),(30326,4),(30327,5),(30328,8),(30329,2),(30330,1),(30331,4),(30332,9),(30333,1),(30334,4),(30335,9),(30336,3),(30337,6),(30338,2),(30339,1),(30340,7),(30341,1),(30342,7),(30343,7),(30344,7),(30345,6),(30346,9),(30347,1),(30348,4),(30349,1),(30350,9),(30351,8),(30352,9),(30353,4),(30354,9),(30355,5),(30356,4),(30357,8),(30358,5),(30359,4),(30360,7),(30361,1),(30362,1),(30363,2),(30364,3),(30365,3),(30366,9),(30367,5),(30368,7),(30369,5),(30370,4),(30371,1),(30372,7),(30373,4),(30374,7),(30375,5),(30376,4),(30377,9),(30378,5),(30379,8),(30380,9),(30381,2),(30382,8),(30383,1),(30384,9),(30385,5),(30386,1),(30387,6),(30388,8),(30389,1),(30390,5),(30391,9),(30392,4),(30393,6),(30394,7),(30395,5),(30396,4),(30397,3),(30398,8),(30399,1),(30400,4),(30401,1),(30402,5),(30403,2),(30404,4),(30405,1),(30406,4),(30407,4),(30408,3),(30409,2),(30410,8),(30411,3),(30412,2),(30413,1),(30414,5),(30415,2),(30416,6),(30417,5),(30418,4),(30419,1),(30420,6),(30421,1),(30422,7),(30423,2),(30424,9),(30425,8),(30426,8),(30427,3),(30428,2),(30429,7),(30430,4),(30431,3),(30432,3),(30433,7),(30434,6),(30435,4),(30436,6),(30437,4),(30438,4),(30439,1),(30440,7),(30441,8),(30442,2),(30443,7),(30444,5),(30445,7),(30446,5),(30447,6),(30448,6),(30449,4),(30450,2),(30451,4),(30452,1),(30453,1),(30454,5),(30455,6),(30456,9),(30457,2),(30458,1),(30459,1),(30460,1),(30461,9),(30462,5),(30463,3),(30464,4),(30465,3),(30466,4),(30467,8),(30468,1),(30469,8),(30470,4),(30471,6),(30472,9),(30473,3),(30474,7),(30475,5),(30476,7),(30477,8),(30478,9),(30479,8),(30480,5),(30481,3),(30482,5),(30483,7),(30484,7),(30485,1),(30486,7),(30487,4),(30488,3),(30489,5),(30490,7),(30491,6),(30492,8),(30493,8),(30494,1),(30495,2),(30496,2),(30497,2),(30498,8),(30499,6),(30500,7),(30501,6),(30502,1),(30503,2),(30504,4),(30505,6),(30506,8),(30507,9),(30508,9),(30509,8),(30510,3),(30511,6),(30512,5),(30513,8),(30514,8),(30515,8),(30516,3),(30517,9),(30518,2),(30519,6),(30520,2),(30521,8),(30522,5),(30523,8),(30524,1),(30525,8),(30526,3),(30527,2),(30528,5),(30529,4),(30530,4),(30531,2),(30532,9),(30533,8),(30534,7),(30535,6),(30536,6),(30537,7),(30538,2),(30539,5),(30540,4),(30541,1),(30542,1),(30543,9),(30544,9),(30545,3),(30546,1),(30547,4),(30548,6),(30549,4),(30550,9),(30551,4),(30552,5),(30553,5),(30554,4),(30555,8),(30556,1),(30557,8),(30558,2),(30559,2),(30560,3),(30561,4),(30562,5),(30563,6),(30564,2),(30565,3),(30566,6),(30567,5),(30568,7),(30569,3),(30570,2),(30571,6),(30572,6),(30573,5),(30574,2),(30575,2),(30576,3),(30577,5),(30578,4),(30579,6),(30580,3),(30581,3),(30582,6),(30583,6),(30584,5),(30585,9),(30586,9),(30587,3),(30588,9),(30589,3),(30590,7),(30591,8),(30592,2),(30593,8),(30594,3),(30595,7),(30596,7),(30597,1),(30598,1),(30599,6),(30600,7),(30601,4),(30602,5),(30603,9),(30604,1),(30605,5),(30606,4),(30607,2),(30608,9),(30609,9),(30610,2),(30611,4),(30612,1),(30613,8),(30614,4),(30615,2),(30616,5),(30617,1),(30618,7),(30619,7),(30620,4),(30621,5),(30622,5),(30623,9),(30624,8),(30625,1),(30626,3),(30627,4),(30628,1),(30629,6),(30630,5),(30631,7),(30632,3),(30633,4),(30634,7),(30635,7),(30636,4),(30637,2),(30638,7),(30639,2),(30640,4),(30641,7),(30642,4),(30643,1),(30644,3),(30645,3),(30646,1),(30647,5),(30648,9),(30649,2),(30650,5),(30651,7),(30652,5),(30653,9),(30654,7),(30655,6),(30656,5),(30657,4),(30658,1),(30659,5),(30660,8),(30661,5),(30662,4),(30663,2),(30664,1),(30665,8),(30666,9),(30667,2),(30668,2),(30669,1),(30670,2),(30671,3),(30672,6),(30673,8),(30674,5),(30675,9),(30676,2),(30677,3),(30678,8),(30679,8),(30680,9),(30681,7),(30682,8),(30683,7),(30684,7),(30685,9),(30686,4),(30687,4),(30688,4),(30689,8),(30690,5),(30691,5),(30692,3),(30693,5),(30694,9),(30695,2),(30696,8),(30697,4),(30698,6),(30699,2),(30700,1),(30701,6),(30702,8),(30703,6),(30704,4),(30705,8),(30706,6),(30707,5),(30708,7),(30709,3),(30710,8),(30711,6),(30712,4),(30713,7),(30714,7),(30715,5),(30716,1),(30717,7),(30718,9),(30719,4),(30720,8),(30721,3),(30722,3),(30723,9),(30724,5),(30725,6),(30726,1),(30727,8),(30728,7),(30729,8),(30730,4),(30731,4),(30732,7),(30733,8),(30734,5),(30735,9),(30736,4),(30737,8),(30738,8),(30739,7),(30740,9),(30741,8),(30742,5),(30743,3),(30744,3),(30745,2),(30746,2),(30747,5),(30748,4),(30749,4),(30750,9),(30751,2),(30752,2),(30753,2),(30754,5),(30755,1),(30756,9),(30757,9),(30758,4),(30759,9),(30760,9),(30761,7),(30762,4),(30763,5),(30764,5),(30765,4),(30766,5),(30767,9),(30768,2),(30769,2),(30770,3),(30771,3),(30772,2),(30773,8),(30774,1),(30775,4),(30776,8),(30777,4),(30778,6),(30779,8),(30780,3),(30781,2),(30782,9),(30783,7),(30784,6),(30785,8),(30786,3),(30787,8),(30788,6),(30789,2),(30790,6),(30791,1),(30792,9),(30793,6),(30794,7),(30795,5),(30796,2),(30797,5),(30798,7),(30799,5),(30800,9),(30801,3),(30802,1),(30803,1),(30804,9),(30805,7),(30806,3),(30807,7),(30808,9),(30809,7),(30810,2),(30811,7),(30812,1),(30813,8),(30814,9),(30815,8),(30816,1),(30817,8),(30818,8),(30819,5),(30820,5),(30821,8),(30822,4),(30823,8),(30824,1),(30825,8),(30826,8),(30827,1),(30828,6),(30829,3),(30830,6),(30831,3),(30832,1),(30833,2),(30834,1),(30835,1),(30836,1),(30837,3),(30838,8),(30839,6),(30840,5),(30841,6),(30842,4),(30843,2),(30844,1),(30845,6),(30846,7),(30847,5),(30848,9),(30849,5),(30850,8),(30851,2),(30852,5),(30853,7),(30854,7),(30855,5),(30856,6),(30857,6),(30858,9),(30859,4),(30860,1),(30861,4),(30862,7),(30863,5),(30864,3),(30865,5),(30866,3),(30867,6),(30868,5),(30869,7),(30870,9),(30871,8),(30872,8),(30873,5),(30874,4),(30875,2),(30876,7),(30877,5),(30878,8),(30879,2),(30880,7),(30881,2),(30882,2),(30883,3),(30884,7),(30885,6),(30886,4),(30887,2),(30888,8),(30889,6),(30890,5),(30891,8),(30892,7),(30893,9),(30894,7),(30895,5),(30896,2),(30897,3),(30898,8),(30899,6),(30900,7),(30901,6),(30902,4),(30903,6),(30904,1),(30905,3),(30906,1),(30907,6),(30908,7),(30909,5),(30910,5),(30911,8),(30912,5),(30913,9),(30914,9),(30915,6),(30916,7),(30917,4),(30918,6),(30919,9),(30920,7),(30921,8),(30922,4),(30923,7),(30924,2),(30925,8),(30926,7),(30927,8),(30928,1),(30929,9),(30930,5),(30931,2),(30932,7),(30933,6),(30934,2),(30935,4),(30936,6),(30937,2),(30938,5),(30939,8),(30940,4),(30941,7),(30942,6),(30943,7),(30944,7),(30945,2),(30946,4),(30947,3),(30948,7),(30949,9),(30950,7),(30951,4),(30952,7),(30953,9),(30954,9),(30955,6),(30956,3),(30957,2),(30958,6),(30959,9),(30960,8),(30961,7),(30962,4),(30963,9),(30964,4),(30965,3),(30966,2),(30967,2),(30968,5),(30969,8),(30970,3),(30971,7),(30972,2),(30973,1),(30974,9),(30975,8),(30976,9),(30977,6),(30978,4),(30979,4),(30980,4),(30981,9),(30982,7),(30983,6),(30984,1),(30985,8),(30986,1),(30987,9),(30988,1),(30989,8),(30990,1),(30991,4),(30992,8),(30993,5),(30994,8),(30995,6),(30996,9),(30997,4),(30998,9),(30999,2),(31000,3),(31001,3),(31002,4),(31003,8),(31004,7),(31005,4),(31006,8),(31007,9),(31008,2),(31009,8),(31010,9),(31011,4),(31012,2),(31013,4),(31014,6),(31015,8),(31016,3),(31017,2),(31018,1),(31019,9),(31020,6),(31021,4),(31022,1),(31023,3),(31024,5),(31025,2),(31026,8),(31027,3),(31028,2),(31029,6),(31030,4),(31031,5),(31032,9),(31033,9),(31034,1),(31035,4),(31036,2),(31037,4),(31038,1),(31039,7),(31040,7),(31041,5),(31042,7),(31043,4),(31044,5),(31045,1),(31046,2),(31047,8),(31048,3),(31049,1),(31050,4),(31051,5),(31052,3),(31053,8),(31054,2),(31055,3),(31056,9),(31057,1),(31058,4),(31059,5),(31060,6),(31061,4),(31062,3),(31063,4),(31064,9),(31065,6),(31066,1),(31067,4),(31068,8),(31069,5),(31070,8),(31071,4),(31072,8),(31073,7),(31074,3),(31075,4),(31076,6),(31077,8),(31078,6),(31079,6),(31080,7),(31081,6),(31082,6),(31083,8),(31084,9),(31085,4),(31086,9),(31087,3),(31088,6),(31089,9),(31090,5),(31091,5),(31092,3),(31093,6),(31094,9),(31095,4),(31096,1),(31097,2),(31098,5),(31099,8),(31100,6),(31101,3),(31102,1),(31103,7),(31104,7),(31105,3),(31106,8),(31107,4),(31108,8),(31109,4),(31110,9),(31111,1),(31112,8),(31113,7),(31114,4),(31115,3),(31116,3),(31117,5),(31118,3),(31119,7),(31120,5),(31121,1),(31122,8),(31123,4),(31124,8),(31125,6),(31126,4),(31127,3),(31128,7),(31129,7),(31130,3),(31131,2),(31132,9),(31133,7),(31134,8),(31135,4),(31136,6),(31137,9),(31138,2),(31139,7),(31140,2),(31141,5),(31142,1),(31143,5),(31144,9),(31145,6),(31146,8),(31147,9),(31148,4),(31149,2),(31150,2),(31151,2),(31152,3),(31153,3),(31154,1),(31155,1),(31156,3),(31157,2),(31158,4),(31159,7),(31160,2),(31161,1),(31162,2),(31163,2),(31164,7),(31165,1),(31166,4),(31167,5),(31168,5),(31169,3),(31170,1),(31171,7),(31172,6),(31173,1),(31174,8),(31175,7),(31176,1),(31177,3),(31178,9),(31179,6),(31180,5),(31181,9),(31182,3),(31183,5),(31184,1),(31185,3),(31186,6),(31187,3),(31188,6),(31189,7),(31190,8),(31191,6),(31192,9),(31193,1),(31194,6),(31195,4),(31196,9),(31197,6),(31198,6),(31199,2),(31200,8),(31201,8),(31202,4),(31203,2),(31204,2),(31205,7),(31206,7),(31207,9),(31208,4),(31209,4),(31210,2),(31211,2),(31212,7),(31213,7),(31214,6),(31215,1),(31216,1),(31217,5),(31218,4),(31219,5),(31220,7),(31221,9),(31222,3),(31223,3),(31224,6),(31225,6),(31226,9),(31227,1),(31228,3),(31229,9),(31230,5),(31231,1),(31232,1),(31233,7),(31234,1),(31235,5),(31236,3),(31237,9),(31238,5),(31239,3),(31240,5),(31241,4),(31242,6),(31243,9),(31244,5),(31245,1),(31246,9),(31247,3),(31248,6),(31249,5),(31250,7),(31251,8),(31252,4),(31253,4),(31254,5),(31255,4),(31256,5),(31257,3),(31258,7),(31259,9),(31260,6),(31261,3),(31262,1),(31263,1),(31264,8),(31265,2),(31266,7),(31267,2),(31268,3),(31269,7),(31270,2),(31271,4),(31272,2),(31273,4),(31274,2),(31275,9),(31276,2),(31277,7),(31278,5),(31279,9),(31280,4),(31281,7),(31282,7),(31283,8),(31284,6),(31285,7),(31286,2),(31287,8),(31288,8),(31289,7),(31290,4),(31291,1),(31292,4),(31293,9),(31294,5),(31295,5),(31296,4),(31297,1),(31298,1),(31299,9),(31300,5),(31301,2),(31302,1),(31303,1),(31304,5),(31305,3),(31306,4),(31307,6),(31308,2),(31309,8),(31310,5),(31311,7),(31312,3),(31313,2),(31314,3),(31315,2),(31316,8),(31317,4),(31318,4),(31319,6),(31320,9),(31321,4),(31322,2),(31323,9),(31324,8),(31325,7),(31326,7),(31327,5),(31328,8),(31329,6),(31330,2),(31331,9),(31332,7),(31333,7),(31334,9),(31335,4),(31336,4),(31337,6),(31338,5),(31339,2),(31340,6),(31341,5),(31342,1),(31343,4),(31344,8),(31345,7),(31346,3),(31347,3),(31348,6),(31349,3),(31350,8),(31351,4),(31352,5),(31353,6),(31354,8),(31355,8),(31356,3),(31357,5),(31358,7),(31359,1),(31360,4),(31361,3),(31362,6),(31363,9),(31364,7),(31365,8),(31366,1),(31367,5),(31368,4),(31369,7),(31370,4),(31371,5),(31372,3),(31373,2),(31374,1),(31375,3),(31376,7),(31377,7),(31378,6),(31379,9),(31380,1),(31381,9),(31382,2),(31383,7),(31384,1),(31385,3),(31386,5),(31387,1),(31388,5),(31389,1),(31390,2),(31391,5),(31392,2),(31393,7),(31394,4),(31395,8),(31396,3),(31397,5),(31398,9),(31399,2),(31400,3),(31401,1),(31402,5),(31403,2),(31404,2),(31405,3),(31406,9),(31407,1),(31408,8),(31409,1),(31410,8),(31411,6),(31412,9),(31413,2),(31414,6),(31415,6),(31416,1),(31417,8),(31418,9),(31419,8),(31420,2),(31421,5),(31422,9),(31423,4),(31424,4),(31425,2),(31426,9),(31427,8),(31428,6),(31429,6),(31430,9),(31431,1),(31432,6),(31433,8),(31434,4),(31435,3),(31436,4),(31437,8),(31438,3),(31439,1),(31440,8),(31441,1),(31442,6),(31443,4),(31444,2),(31445,5),(31446,3),(31447,8),(31448,1),(31449,7),(31450,7),(31451,4),(31452,9),(31453,9),(31454,8),(31455,9),(31456,7),(31457,3),(31458,9),(31459,3),(31460,2),(31461,8),(31462,4),(31463,2),(31464,7),(31465,8),(31466,2),(31467,4),(31468,5),(31469,5),(31470,3),(31471,7),(31472,6),(31473,7),(31474,6),(31475,4),(31476,7),(31477,9),(31478,1),(31479,1),(31480,3),(31481,8),(31482,5),(31483,4),(31484,1),(31485,1),(31486,9),(31487,3),(31488,9),(31489,6),(31490,5),(31491,8),(31492,4),(31493,2),(31494,3),(31495,9),(31496,6),(31497,9),(31498,2),(31499,6),(31500,2),(31501,7),(31502,6),(31503,9),(31504,8),(31505,7),(31506,7),(31507,4),(31508,8),(31509,8),(31510,7),(31511,2),(31512,7),(31513,4),(31514,1),(31515,9),(31516,5),(31517,6),(31518,8),(31519,6),(31520,5),(31521,8),(31522,9),(31523,5),(31524,3),(31525,8),(31526,1),(31527,6),(31528,8),(31529,9),(31530,3),(31531,9),(31532,8),(31533,6),(31534,2),(31535,7),(31536,3),(31537,4),(31538,4),(31539,8),(31540,1),(31541,4),(31542,6),(31543,2),(31544,4),(31545,6),(31546,2),(31547,9),(31548,6),(31549,7),(31550,8),(31551,1),(31552,1),(31553,6),(31554,4),(31555,1),(31556,5),(31557,7),(31558,3),(31559,9),(31560,1),(31561,8),(31562,1),(31563,9),(31564,9),(31565,3),(31566,1),(31567,3),(31568,4),(31569,4),(31570,8),(31571,5),(31572,1),(31573,3),(31574,5),(31575,8),(31576,8),(31577,2),(31578,5),(31579,9),(31580,7),(31581,8),(31582,1),(31583,7),(31584,9),(31585,4),(31586,2),(31587,5),(31588,9),(31589,4),(31590,2),(31591,5),(31592,9),(31593,9),(31594,1),(31595,4),(31596,8),(31597,9),(31598,8),(31599,9),(31600,5),(31601,3),(31602,2),(31603,8),(31604,7),(31605,6),(31606,1),(31607,8),(31608,4),(31609,5),(31610,5),(31611,9),(31612,5),(31613,4),(31614,6),(31615,4),(31616,3),(31617,8),(31618,8),(31619,2),(31620,4),(31621,4),(31622,1),(31623,9),(31624,5),(31625,4),(31626,4),(31627,6),(31628,1),(31629,6),(31630,3),(31631,5),(31632,7),(31633,4),(31634,8),(31635,4),(31636,2),(31637,4),(31638,5),(31639,4),(31640,4),(31641,7),(31642,8),(31643,8),(31644,9),(31645,5),(31646,5),(31647,9),(31648,5),(31649,2),(31650,3),(31651,5),(31652,7),(31653,4),(31654,8),(31655,2),(31656,4),(31657,2),(31658,7),(31659,7),(31660,3),(31661,9),(31662,6),(31663,6),(31664,6),(31665,5),(31666,1),(31667,7),(31668,6),(31669,8),(31670,6),(31671,6),(31672,5),(31673,4),(31674,6),(31675,6),(31676,9),(31677,2),(31678,5),(31679,7),(31680,4),(31681,1),(31682,2),(31683,9),(31684,4),(31685,3),(31686,8),(31687,2),(31688,2),(31689,1),(31690,5),(31691,3),(31692,9),(31693,1),(31694,4),(31695,3),(31696,5),(31697,8),(31698,3),(31699,3),(31700,9),(31701,3),(31702,3),(31703,7),(31704,2),(31705,5),(31706,1),(31707,2),(31708,5),(31709,4),(31710,8),(31711,7),(31712,4),(31713,5),(31714,5),(31715,2),(31716,3),(31717,2),(31718,3),(31719,6),(31720,1),(31721,2),(31722,2),(31723,2),(31724,7),(31725,2),(31726,5),(31727,2),(31728,7),(31729,6),(31730,4),(31731,2),(31732,6),(31733,6),(31734,2),(31735,2),(31736,7),(31737,2),(31738,2),(31739,2),(31740,7),(31741,2),(31742,4),(31743,1),(31744,2),(31745,5),(31746,8),(31747,2),(31748,8),(31749,8),(31750,9),(31751,5),(31752,4),(31753,1),(31754,5),(31755,6),(31756,3),(31757,1),(31758,7),(31759,6),(31760,8),(31761,3),(31762,6),(31763,2),(31764,5),(31765,6),(31766,5),(31767,9),(31768,1),(31769,8),(31770,7),(31771,1),(31772,5),(31773,3),(31774,3),(31775,7),(31776,7),(31777,2),(31778,2),(31779,7),(31780,7),(31781,8),(31782,7),(31783,4),(31784,8),(31785,9),(31786,3),(31787,6),(31788,1),(31789,6),(31790,5),(31791,5),(31792,5),(31793,4),(31794,4),(31795,5),(31796,4),(31797,8),(31798,5),(31799,8),(31800,5),(31801,6),(31802,8),(31803,2),(31804,8),(31805,7),(31806,8),(31807,8),(31808,5),(31809,6),(31810,6),(31811,8),(31812,7),(31813,1),(31814,9),(31815,7),(31816,2),(31817,4),(31818,2),(31819,2),(31820,5),(31821,9),(31822,1),(31823,1),(31824,5),(31825,2),(31826,2),(31827,3),(31828,8),(31829,5),(31830,4),(31831,5),(31832,5),(31833,6),(31834,9),(31835,3),(31836,5),(31837,3),(31838,1),(31839,4),(31840,7),(31841,8),(31842,1),(31843,9),(31844,9),(31845,5),(31846,3),(31847,9),(31848,4),(31849,5),(31850,4),(31851,1),(31852,1),(31853,5),(31854,8),(31855,8),(31856,4),(31857,1),(31858,3),(31859,1),(31860,6),(31861,5),(31862,5),(31863,9),(31864,3),(31865,1),(31866,9),(31867,6),(31868,8),(31869,8),(31870,9),(31871,5),(31872,1),(31873,6),(31874,6),(31875,6),(31876,7),(31877,6),(31878,9),(31879,8),(31880,9),(31881,5),(31882,5),(31883,5),(31884,3),(31885,4),(31886,6),(31887,1),(31888,3),(31889,8),(31890,8),(31891,2),(31892,5),(31893,5),(31894,1),(31895,5),(31896,4),(31897,3),(31898,7),(31899,5),(31900,9),(31901,9),(31902,1),(31903,1),(31904,5),(31905,8),(31906,6),(31907,7),(31908,3),(31909,6),(31910,9),(31911,6),(31912,9),(31913,1),(31914,3),(31915,2),(31916,2),(31917,8),(31918,9),(31919,3),(31920,4),(31921,6),(31922,6),(31923,7),(31924,6),(31925,1),(31926,2),(31927,5),(31928,4),(31929,3),(31930,3),(31931,1),(31932,2),(31933,5),(31934,6),(31935,1),(31936,6),(31937,3),(31938,9),(31939,9),(31940,3),(31941,4),(31942,6),(31943,5),(31944,5),(31945,6),(31946,5),(31947,2),(31948,8),(31949,2),(31950,6),(31951,5),(31952,2),(31953,6),(31954,9),(31955,8),(31956,2),(31957,2),(31958,8),(31959,1),(31960,1),(31961,5),(31962,2),(31963,9),(31964,9),(31965,3),(31966,2),(31967,7),(31968,6),(31969,7),(31970,8),(31971,4),(31972,5),(31973,4),(31974,4),(31975,6),(31976,1),(31977,7),(31978,9),(31979,2),(31980,9),(31981,9),(31982,9),(31983,5),(31984,1),(31985,8),(31986,5),(31987,6),(31988,2),(31989,4),(31990,1),(31991,7),(31992,2),(31993,9),(31994,4),(31995,2),(31996,1),(31997,5),(31998,3),(31999,7),(32000,3),(32001,1),(32002,2),(32003,9),(32004,2),(32005,6),(32006,7),(32007,3),(32008,2),(32009,7),(32010,1),(32011,1),(32012,5),(32013,2),(32014,1),(32015,5),(32016,9),(32017,8),(32018,8),(32019,2),(32020,8),(32021,8),(32022,2),(32023,8),(32024,1),(32025,5),(32026,6),(32027,3),(32028,6),(32029,3),(32030,6),(32031,6),(32032,7),(32033,7),(32034,5),(32035,2),(32036,7),(32037,9),(32038,5),(32039,1),(32040,7),(32041,7),(32042,5),(32043,6),(32044,5),(32045,8),(32046,1),(32047,8),(32048,3),(32049,8),(32050,7),(32051,3),(32052,1),(32053,1),(32054,3),(32055,7),(32056,3),(32057,1),(32058,3),(32059,4),(32060,6),(32061,7),(32062,8),(32063,2),(32064,8),(32065,4),(32066,3),(32067,3),(32068,6),(32069,2),(32070,7),(32071,1),(32072,9),(32073,2),(32074,7),(32075,6),(32076,3),(32077,1),(32078,2),(32079,4),(32080,8),(32081,4),(32082,8),(32083,9),(32084,2),(32085,2),(32086,2),(32087,3),(32088,3),(32089,3),(32090,5),(32091,7),(32092,8),(32093,4),(32094,5),(32095,5),(32096,4),(32097,6),(32098,2),(32099,9),(32100,3),(32101,3),(32102,6),(32103,5),(32104,6),(32105,9),(32106,3),(32107,9),(32108,6),(32109,5),(32110,6),(32111,6),(32112,5),(32113,5),(32114,5),(32115,2),(32116,2),(32117,1),(32118,1),(32119,2),(32120,9),(32121,8),(32122,5),(32123,2),(32124,9),(32125,6),(32126,7),(32127,7),(32128,5),(32129,9),(32130,3),(32131,7),(32132,4),(32133,9),(32134,1),(32135,7),(32136,6),(32137,7),(32138,5),(32139,8),(32140,2),(32141,6),(32142,7),(32143,2),(32144,6),(32145,8),(32146,4),(32147,3),(32148,6),(32149,3),(32150,3),(32151,1),(32152,6),(32153,1),(32154,9),(32155,9),(32156,1),(32157,7),(32158,4),(32159,5),(32160,7),(32161,5),(32162,9),(32163,9),(32164,3),(32165,6),(32166,6),(32167,7),(32168,7),(32169,9),(32170,9),(32171,5),(32172,3),(32173,9),(32174,1),(32175,8),(32176,2),(32177,2),(32178,2),(32179,4),(32180,7),(32181,6),(32182,5),(32183,8),(32184,9),(32185,6),(32186,7),(32187,2),(32188,9),(32189,3),(32190,2),(32191,8),(32192,9),(32193,1),(32194,1),(32195,7),(32196,8),(32197,3),(32198,6),(32199,9),(32200,6),(32201,7),(32202,2),(32203,8),(32204,1),(32205,8),(32206,3),(32207,9),(32208,5),(32209,8),(32210,1),(32211,9),(32212,3),(32213,9),(32214,4),(32215,3),(32216,6),(32217,7),(32218,3),(32219,4),(32220,8),(32221,7),(32222,3),(32223,7),(32224,3),(32225,3),(32226,4),(32227,8),(32228,5),(32229,2),(32230,6),(32231,5),(32232,8),(32233,3),(32234,2),(32235,9),(32236,2),(32237,6),(32238,2),(32239,4),(32240,3),(32241,4),(32242,4),(32243,7),(32244,3),(32245,3),(32246,5),(32247,9),(32248,8),(32249,5),(32250,5),(32251,2),(32252,9),(32253,3),(32254,5),(32255,6),(32256,6),(32257,6),(32258,3),(32259,1),(32260,4),(32261,4),(32262,3),(32263,2),(32264,7),(32265,8),(32266,9),(32267,8),(32268,6),(32269,5),(32270,4),(32271,9),(32272,6),(32273,5),(32274,9),(32275,4),(32276,1),(32277,2),(32278,4),(32279,1),(32280,4),(32281,6),(32282,4),(32283,9),(32284,4),(32285,7),(32286,4),(32287,2),(32288,8),(32289,9),(32290,2),(32291,8),(32292,3),(32293,9),(32294,8),(32295,4),(32296,1),(32297,4),(32298,8),(32299,8),(32300,1),(32301,8),(32302,5),(32303,6),(32304,9),(32305,8),(32306,9),(32307,8),(32308,8),(32309,2),(32310,5),(32311,6),(32312,2),(32313,3),(32314,3),(32315,8),(32316,6),(32317,5),(32318,3),(32319,6),(32320,9),(32321,3),(32322,7),(32323,6),(32324,2),(32325,3),(32326,3),(32327,7),(32328,6),(32329,6),(32330,3),(32331,1),(32332,8),(32333,9),(32334,2),(32335,5),(32336,8),(32337,9),(32338,9),(32339,5),(32340,1),(32341,3),(32342,7),(32343,8),(32344,5),(32345,1),(32346,5),(32347,5),(32348,9),(32349,3),(32350,9),(32351,4),(32352,8),(32353,8),(32354,8),(32355,1),(32356,3),(32357,7),(32358,3),(32359,3),(32360,2),(32361,4),(32362,8),(32363,5),(32364,2),(32365,3),(32366,3),(32367,3),(32368,8),(32369,2),(32370,1),(32371,5),(32372,7),(32373,7),(32374,2),(32375,2),(32376,7),(32377,4),(32378,9),(32379,6),(32380,3),(32381,4),(32382,7),(32383,4),(32384,2),(32385,9),(32386,1),(32387,4),(32388,1),(32389,5),(32390,1),(32391,2),(32392,1),(32393,6),(32394,8),(32395,7),(32396,4),(32397,8),(32398,2),(32399,8),(32400,4),(32401,9),(32402,1),(32403,1),(32404,7),(32405,6),(32406,8),(32407,3),(32408,3),(32409,5),(32410,2),(32411,9),(32412,7),(32413,5),(32414,5),(32415,8),(32416,3),(32417,9),(32418,1),(32419,4),(32420,4),(32421,6),(32422,4),(32423,7),(32424,6),(32425,5),(32426,2),(32427,2),(32428,4),(32429,7),(32430,9),(32431,1),(32432,3),(32433,1),(32434,2),(32435,7),(32436,5),(32437,8),(32438,9),(32439,9),(32440,8),(32441,6),(32442,2),(32443,3),(32444,1),(32445,9),(32446,1),(32447,1),(32448,4),(32449,4),(32450,6),(32451,6),(32452,9),(32453,2),(32454,8),(32455,2),(32456,4),(32457,9),(32458,9),(32459,8),(32460,6),(32461,1),(32462,1),(32463,5),(32464,4),(32465,9),(32466,4),(32467,3),(32468,6),(32469,4),(32470,9),(32471,1),(32472,7),(32473,6),(32474,3),(32475,9),(32476,7),(32477,7),(32478,4),(32479,7),(32480,7),(32481,4),(32482,3),(32483,1),(32484,3),(32485,8),(32486,4),(32487,5),(32488,8),(32489,5),(32490,1),(32491,5),(32492,4),(32493,8),(32494,1),(32495,3),(32496,7),(32497,6),(32498,7),(32499,8),(32500,7),(32501,6),(32502,9),(32503,3),(32504,6),(32505,8),(32506,5),(32507,8),(32508,6),(32509,8),(32510,4),(32511,1),(32512,1),(32513,8),(32514,4),(32515,9),(32516,6),(32517,2),(32518,9),(32519,4),(32520,2),(32521,8),(32522,5),(32523,4),(32524,8),(32525,7),(32526,1),(32527,4),(32528,8),(32529,6),(32530,1),(32531,4),(32532,5),(32533,8),(32534,1),(32535,1),(32536,1),(32537,3),(32538,4),(32539,1),(32540,5),(32541,2),(32542,6),(32543,7),(32544,2),(32545,3),(32546,8),(32547,7),(32548,5),(32549,4),(32550,4),(32551,6),(32552,8),(32553,6),(32554,7),(32555,1),(32556,5),(32557,8),(32558,8),(32559,4),(32560,1),(32561,7),(32562,2),(32563,6),(32564,4),(32565,1),(32566,1),(32567,2),(32568,8),(32569,3),(32570,8),(32571,2),(32572,2),(32573,5),(32574,5),(32575,4),(32576,1),(32577,9),(32578,9),(32579,9),(32580,8),(32581,8),(32582,1),(32583,4),(32584,5),(32585,7),(32586,6),(32587,4),(32588,8),(32589,9),(32590,6),(32591,5),(32592,8),(32593,2),(32594,4),(32595,1),(32596,4),(32597,5),(32598,3),(32599,9),(32600,3),(32601,4),(32602,6),(32603,9),(32604,7),(32605,3),(32606,2),(32607,9),(32608,3),(32609,7),(32610,6),(32611,8),(32612,6),(32613,3),(32614,4),(32615,4),(32616,8),(32617,2),(32618,4),(32619,1),(32620,3),(32621,9),(32622,1),(32623,5),(32624,1),(32625,3),(32626,9),(32627,2),(32628,8),(32629,6),(32630,7),(32631,9),(32632,2),(32633,2),(32634,5),(32635,8),(32636,1),(32637,3),(32638,4),(32639,8),(32640,2),(32641,7),(32642,6),(32643,3),(32644,7),(32645,2),(32646,7),(32647,6),(32648,3),(32649,8),(32650,3),(32651,5),(32652,9),(32653,4),(32654,1),(32655,8),(32656,6),(32657,5),(32658,8),(32659,3),(32660,3),(32661,8),(32662,2),(32663,3),(32664,2),(32665,1),(32666,9),(32667,4),(32668,6),(32669,1),(32670,2),(32671,2),(32672,7),(32673,6),(32674,9),(32675,4),(32676,6),(32677,9),(32678,1),(32679,8),(32680,4),(32681,1),(32682,8),(32683,9),(32684,1),(32685,7),(32686,5),(32687,3),(32688,7),(32689,1),(32690,9),(32691,3),(32692,7),(32693,3),(32694,4),(32695,4),(32696,3),(32697,4),(32698,5),(32699,8),(32700,8),(32701,8),(32702,2),(32703,9),(32704,9),(32705,9),(32706,1),(32707,4),(32708,7),(32709,1),(32710,5),(32711,3),(32712,1),(32713,2),(32714,8),(32715,4),(32716,5),(32717,5),(32718,5),(32719,1),(32720,3),(32721,8),(32722,9),(32723,6),(32724,2),(32725,8),(32726,2),(32727,6),(32728,2),(32729,1),(32730,5),(32731,7),(32732,4),(32733,6),(32734,6),(32735,3),(32736,2),(32737,3),(32738,5),(32739,6),(32740,6),(32741,5),(32742,2),(32743,4),(32744,1),(32745,1),(32746,6),(32747,7),(32748,1),(32749,9),(32750,1),(32751,7),(32752,2),(32753,8),(32754,6),(32755,4),(32756,1),(32757,9),(32758,5),(32759,2),(32760,9),(32761,4),(32762,3),(32763,8),(32764,7),(32765,2),(32766,2),(32767,7),(32768,3),(32769,2),(32770,9),(32771,2),(32772,9),(32773,1),(32774,1),(32775,3),(32776,9),(32777,9),(32778,4),(32779,4),(32780,6),(32781,5),(32782,7),(32783,3),(32784,2),(32785,7),(32786,3),(32787,2),(32788,4),(32789,4),(32790,4),(32791,7),(32792,2),(32793,4),(32794,5),(32795,3),(32796,6),(32797,6),(32798,6),(32799,1),(32800,8),(32801,8),(32802,5),(32803,5),(32804,5),(32805,1),(32806,2),(32807,5),(32808,9),(32809,6),(32810,4),(32811,2),(32812,6),(32813,9),(32814,2),(32815,5),(32816,5),(32817,4),(32818,3),(32819,9),(32820,4),(32821,7),(32822,2),(32823,1),(32824,8),(32825,2),(32826,9),(32827,1),(32828,1),(32829,6),(32830,6),(32831,1),(32832,3),(32833,3),(32834,7),(32835,8),(32836,9),(32837,6),(32838,5),(32839,3),(32840,8),(32841,3),(32842,9),(32843,5),(32844,1),(32845,2),(32846,8),(32847,8),(32848,5),(32849,1),(32850,9),(32851,9),(32852,6),(32853,9),(32854,7),(32855,2),(32856,7),(32857,7),(32858,7),(32859,9),(32860,5),(32861,5),(32862,6),(32863,2),(32864,4),(32865,8),(32866,8),(32867,3),(32868,1),(32869,7),(32870,8),(32871,1),(32872,3),(32873,7),(32874,3),(32875,4),(32876,2),(32877,5),(32878,7),(32879,3),(32880,1),(32881,5),(32882,2),(32883,2),(32884,4),(32885,6),(32886,9),(32887,7),(32888,5),(32889,6),(32890,1),(32891,6),(32892,7),(32893,4),(32894,6),(32895,1),(32896,9),(32897,7),(32898,2),(32899,3),(32900,3),(32901,5),(32902,9),(32903,2),(32904,8),(32905,6),(32906,6),(32907,4),(32908,1),(32909,1),(32910,6),(32911,8),(32912,8),(32913,3),(32914,7),(32915,3),(32916,1),(32917,1),(32918,1),(32919,4),(32920,4),(32921,5),(32922,8),(32923,1),(32924,7),(32925,3),(32926,5),(32927,7),(32928,2),(32929,7),(32930,3),(32931,9),(32932,4),(32933,2),(32934,2),(32935,2),(32936,5),(32937,4),(32938,3),(32939,7),(32940,4),(32941,8),(32942,3),(32943,5),(32944,2),(32945,7),(32946,3),(32947,9),(32948,4),(32949,7),(32950,3),(32951,1),(32952,3),(32953,2),(32954,5),(32955,9),(32956,5),(32957,5),(32958,1),(32959,7),(32960,6),(32961,5),(32962,9),(32963,6),(32964,2),(32965,9),(32966,2),(32967,8),(32968,8),(32969,6),(32970,6),(32971,3),(32972,4),(32973,3),(32974,7),(32975,5),(32976,5),(32977,3),(32978,9),(32979,1),(32980,8),(32981,4),(32982,1),(32983,8),(32984,8),(32985,2),(32986,6),(32987,2),(32988,2),(32989,8),(32990,9),(32991,2),(32992,8),(32993,9),(32994,7),(32995,8),(32996,7),(32997,7),(32998,7),(32999,6),(33000,6),(33001,5),(33002,7),(33003,2),(33004,9),(33005,5),(33006,5),(33007,1),(33008,7),(33009,5),(33010,6),(33011,6),(33012,2),(33013,8),(33014,4),(33015,4),(33016,1),(33017,3),(33018,1),(33019,8),(33020,1),(33021,6),(33022,6),(33023,6),(33024,9),(33025,4),(33026,9),(33027,3),(33028,4),(33029,3),(33030,4),(33031,2),(33032,5),(33033,3),(33034,3),(33035,8),(33036,9),(33037,8),(33038,1),(33039,2),(33040,6),(33041,7),(33042,4),(33043,3),(33044,7),(33045,3),(33046,7),(33047,3),(33048,5),(33049,9),(33050,6),(33051,6),(33052,5),(33053,6),(33054,9),(33055,5),(33056,8),(33057,7),(33058,7),(33059,2),(33060,6),(33061,9),(33062,4),(33063,1),(33064,7),(33065,6),(33066,7),(33067,6),(33068,6),(33069,6),(33070,6),(33071,7),(33072,7),(33073,4),(33074,5),(33075,1),(33076,8),(33077,4),(33078,1),(33079,4),(33080,9),(33081,8),(33082,7),(33083,4),(33084,4),(33085,5),(33086,2),(33087,2),(33088,2),(33089,9),(33090,5),(33091,8),(33092,5),(33093,8),(33094,1),(33095,8),(33096,7),(33097,6),(33098,1),(33099,1),(33100,1),(33101,7),(33102,3),(33103,3),(33104,6),(33105,2),(33106,2),(33107,3),(33108,6),(33109,6),(33110,4),(33111,3),(33112,6),(33113,2),(33114,5),(33115,3),(33116,6),(33117,4),(33118,3),(33119,8),(33120,6),(33121,7),(33122,6),(33123,9),(33124,9),(33125,9),(33126,1),(33127,7),(33128,3),(33129,5),(33130,4),(33131,1),(33132,3),(33133,1),(33134,7),(33135,4),(33136,9),(33137,6),(33138,1),(33139,1),(33140,5),(33141,8),(33142,4),(33143,3),(33144,8),(33145,9),(33146,6),(33147,7),(33148,7),(33149,9),(33150,4),(33151,6),(33152,6),(33153,1),(33154,9),(33155,5),(33156,7),(33157,7),(33158,7),(33159,4),(33160,4),(33161,9),(33162,7),(33163,6),(33164,7),(33165,6),(33166,5),(33167,6),(33168,1),(33169,2),(33170,3),(33171,7),(33172,6),(33173,3),(33174,5),(33175,3),(33176,5),(33177,7),(33178,6),(33179,2),(33180,7),(33181,1),(33182,2),(33183,7),(33184,9),(33185,7),(33186,1),(33187,3),(33188,5),(33189,7),(33190,3),(33191,9),(33192,1),(33193,8),(33194,7),(33195,2),(33196,8),(33197,3),(33198,6),(33199,1),(33200,9),(33201,5),(33202,2),(33203,9),(33204,9),(33205,1),(33206,5),(33207,3),(33208,7),(33209,3),(33210,5),(33211,6),(33212,2),(33213,6),(33214,5),(33215,7),(33216,7),(33217,8),(33218,7),(33219,6),(33220,2),(33221,3),(33222,5),(33223,3),(33224,9),(33225,2),(33226,1),(33227,1),(33228,1),(33229,3),(33230,5),(33231,7),(33232,2),(33233,3),(33234,2),(33235,1),(33236,8),(33237,6),(33238,1),(33239,2),(33240,6),(33241,2),(33242,9),(33243,1),(33244,8),(33245,3),(33246,7),(33247,3),(33248,5),(33249,4),(33250,4),(33251,3),(33252,8),(33253,4),(33254,7),(33255,7),(33256,5),(33257,7),(33258,2),(33259,7),(33260,1),(33261,8),(33262,1),(33263,1),(33264,2),(33265,3),(33266,3),(33267,9),(33268,5),(33269,8),(33270,4),(33271,4),(33272,4),(33273,6),(33274,9),(33275,7),(33276,7),(33277,3),(33278,2),(33279,4),(33280,1),(33281,7),(33282,7),(33283,3),(33284,3),(33285,1),(33286,9),(33287,9),(33288,2),(33289,9),(33290,3),(33291,8),(33292,4),(33293,2),(33294,8),(33295,5),(33296,1),(33297,7),(33298,1),(33299,4),(33300,2),(33301,5),(33302,4),(33303,7),(33304,1),(33305,2),(33306,2),(33307,9),(33308,1),(33309,3),(33310,3),(33311,6),(33312,4),(33313,4),(33314,6),(33315,7),(33316,7),(33317,3),(33318,4),(33319,7),(33320,8),(33321,8),(33322,1),(33323,7),(33324,3),(33325,8),(33326,7),(33327,4),(33328,1),(33329,7),(33330,7),(33331,1),(33332,8),(33333,3),(33334,1),(33335,6),(33336,9),(33337,6),(33338,3),(33339,3),(33340,1),(33341,3),(33342,3),(33343,8),(33344,6),(33345,2),(33346,5),(33347,6),(33348,5),(33349,9),(33350,5),(33351,8),(33352,8),(33353,3),(33354,7),(33355,5),(33356,3),(33357,9),(33358,8),(33359,4),(33360,3),(33361,5),(33362,3),(33363,3),(33364,8),(33365,4),(33366,9),(33367,4),(33368,4),(33369,7),(33370,2),(33371,4),(33372,4),(33373,7),(33374,2),(33375,4),(33376,8),(33377,9),(33378,6),(33379,6),(33380,8),(33381,6),(33382,4),(33383,2),(33384,5),(33385,8),(33386,8),(33387,8),(33388,8),(33389,4),(33390,1),(33391,9),(33392,1),(33393,6),(33394,3),(33395,7),(33396,8),(33397,9),(33398,8),(33399,6),(33400,3),(33401,5),(33402,4),(33403,8),(33404,5),(33405,8),(33406,2),(33407,5),(33408,2),(33409,1),(33410,4),(33411,5),(33412,2),(33413,9),(33414,9),(33415,9),(33416,9),(33417,2),(33418,4),(33419,4),(33420,4),(33421,3),(33422,4),(33423,5),(33424,6),(33425,3),(33426,9),(33427,3),(33428,8),(33429,7),(33430,4),(33431,3),(33432,2),(33433,9),(33434,6),(33435,6),(33436,8),(33437,7),(33438,7),(33439,1),(33440,4),(33441,5),(33442,7),(33443,6),(33444,9),(33445,4),(33446,1),(33447,7),(33448,8),(33449,9),(33450,9),(33451,5),(33452,9),(33453,3),(33454,8),(33455,1),(33456,8),(33457,1),(33458,6),(33459,8),(33460,4),(33461,5),(33462,7),(33463,8),(33464,3),(33465,7),(33466,8),(33467,6),(33468,7),(33469,6),(33470,8),(33471,2),(33472,6),(33473,6),(33474,7),(33475,3),(33476,4),(33477,8),(33478,1),(33479,4),(33480,1),(33481,7),(33482,7),(33483,9),(33484,4),(33485,7),(33486,2),(33487,4),(33488,4),(33489,4),(33490,8),(33491,4),(33492,3),(33493,1),(33494,1),(33495,5),(33496,5),(33497,8),(33498,7),(33499,4),(33500,7),(33501,8),(33502,4),(33503,7),(33504,2),(33505,6),(33506,9),(33507,6),(33508,4),(33509,6),(33510,9),(33511,2),(33512,7),(33513,5),(33514,9),(33515,4),(33516,2),(33517,6),(33518,3),(33519,6),(33520,8),(33521,4),(33522,5),(33523,2),(33524,1),(33525,2),(33526,4),(33527,3),(33528,6),(33529,5),(33530,1),(33531,3),(33532,1),(33533,3),(33534,2),(33535,6),(33536,3),(33537,3),(33538,6),(33539,1),(33540,4),(33541,9),(33542,8),(33543,1),(33544,4),(33545,1),(33546,5),(33547,7),(33548,9),(33549,1),(33550,4),(33551,5),(33552,8),(33553,1),(33554,2),(33555,6),(33556,4),(33557,5),(33558,6),(33559,5),(33560,5),(33561,3),(33562,1),(33563,9),(33564,2),(33565,1),(33566,5),(33567,2),(33568,6),(33569,3),(33570,8),(33571,5),(33572,1),(33573,7),(33574,9),(33575,5),(33576,4),(33577,1),(33578,5),(33579,9),(33580,9),(33581,2),(33582,1),(33583,1),(33584,4),(33585,1),(33586,6),(33587,9),(33588,2),(33589,1),(33590,6),(33591,2),(33592,5),(33593,1),(33594,6),(33595,6),(33596,5),(33597,4),(33598,8),(33599,7),(33600,6),(33601,9),(33602,1),(33603,9),(33604,6),(33605,8),(33606,8),(33607,1),(33608,8),(33609,9),(33610,8),(33611,5),(33612,2),(33613,9),(33614,7),(33615,6),(33616,8),(33617,1),(33618,2),(33619,2),(33620,8),(33621,1),(33622,7),(33623,4),(33624,9),(33625,7),(33626,3),(33627,2),(33628,6),(33629,2),(33630,5),(33631,4),(33632,6),(33633,1),(33634,2),(33635,1),(33636,1),(33637,9),(33638,4),(33639,5),(33640,9),(33641,4),(33642,7),(33643,4),(33644,9),(33645,7),(33646,7),(33647,8),(33648,5),(33649,2),(33650,4),(33651,7),(33652,1),(33653,3),(33654,7),(33655,4),(33656,8),(33657,2),(33658,2),(33659,6),(33660,9),(33661,5),(33662,1),(33663,8),(33664,7),(33665,1),(33666,7),(33667,7),(33668,7),(33669,7),(33670,1),(33671,4),(33672,6),(33673,8),(33674,1),(33675,3),(33676,2),(33677,3),(33678,2),(33679,5),(33680,6),(33681,5),(33682,4),(33683,5),(33684,2),(33685,9),(33686,9),(33687,9),(33688,5),(33689,9),(33690,9),(33691,9),(33692,8),(33693,9),(33694,9),(33695,5),(33696,2),(33697,8),(33698,4),(33699,1),(33700,9),(33701,7),(33702,4),(33703,2),(33704,1),(33705,1),(33706,5),(33707,9),(33708,3),(33709,6),(33710,9),(33711,9),(33712,9),(33713,6),(33714,4),(33715,9),(33716,8),(33717,4),(33718,2),(33719,8),(33720,6),(33721,2),(33722,2),(33723,4),(33724,4),(33725,3),(33726,4),(33727,1),(33728,5),(33729,8),(33730,9),(33731,9),(33732,7),(33733,8),(33734,6),(33735,6),(33736,9),(33737,8),(33738,9),(33739,3),(33740,3),(33741,4),(33742,3),(33743,2),(33744,9),(33745,7),(33746,8),(33747,5),(33748,7),(33749,4),(33750,1),(33751,1),(33752,3),(33753,3),(33754,9),(33755,4),(33756,2),(33757,9),(33758,1),(33759,7),(33760,3),(33761,3),(33762,5),(33763,9),(33764,6),(33765,8),(33766,8),(33767,4),(33768,1),(33769,3),(33770,5),(33771,2),(33772,5),(33773,1),(33774,9),(33775,7),(33776,9),(33777,3),(33778,9),(33779,6),(33780,5),(33781,1),(33782,2),(33783,3),(33784,6),(33785,9),(33786,9),(33787,3),(33788,8),(33789,6),(33790,4),(33791,7),(33792,4),(33793,2),(33794,8),(33795,2),(33796,8),(33797,2),(33798,7),(33799,6),(33800,9),(33801,5),(33802,9),(33803,4),(33804,6),(33805,5),(33806,2),(33807,7),(33808,2),(33809,7),(33810,5),(33811,5),(33812,7),(33813,9),(33814,2),(33815,3),(33816,1),(33817,5),(33818,7),(33819,5),(33820,4),(33821,8),(33822,4),(33823,9),(33824,8),(33825,7),(33826,9),(33827,8),(33828,6),(33829,5),(33830,7),(33831,7),(33832,9),(33833,9),(33834,2),(33835,6),(33836,5),(33837,6),(33838,3),(33839,9),(33840,2),(33841,6),(33842,4),(33843,9),(33844,6),(33845,2),(33846,4),(33847,1),(33848,8),(33849,8),(33850,6),(33851,1),(33852,2),(33853,1),(33854,5),(33855,7),(33856,6),(33857,3),(33858,3),(33859,2),(33860,5),(33861,1),(33862,5),(33863,9),(33864,8),(33865,8),(33866,8),(33867,2),(33868,6),(33869,6),(33870,5),(33871,9),(33872,1),(33873,6),(33874,8),(33875,9),(33876,9),(33877,1),(33878,7),(33879,9),(33880,9),(33881,5),(33882,2),(33883,8),(33884,2),(33885,9),(33886,3),(33887,7),(33888,4),(33889,9),(33890,5),(33891,9),(33892,7),(33893,7),(33894,8),(33895,7),(33896,5),(33897,6),(33898,7),(33899,3),(33900,8),(33901,8),(33902,2),(33903,2),(33904,9),(33905,4),(33906,6),(33907,8),(33908,3),(33909,8),(33910,8),(33911,2),(33912,2),(33913,7),(33914,3),(33915,6),(33916,9),(33917,9),(33918,9),(33919,3),(33920,8),(33921,3),(33922,2),(33923,2),(33924,2),(33925,8),(33926,3),(33927,5),(33928,6),(33929,2),(33930,5),(33931,5),(33932,5),(33933,4),(33934,4),(33935,6),(33936,3),(33937,1),(33938,4),(33939,5),(33940,5),(33941,1),(33942,1),(33943,8),(33944,4),(33945,9),(33946,7),(33947,1),(33948,2),(33949,8),(33950,1),(33951,8),(33952,8),(33953,1),(33954,4),(33955,3),(33956,4),(33957,5),(33958,7),(33959,3),(33960,9),(33961,6),(33962,5),(33963,7),(33964,1),(33965,8),(33966,7),(33967,5),(33968,7),(33969,5),(33970,5),(33971,7),(33972,5),(33973,1),(33974,4),(33975,9),(33976,1),(33977,1),(33978,2),(33979,6),(33980,1),(33981,5),(33982,6),(33983,7),(33984,3),(33985,4),(33986,4),(33987,7),(33988,7),(33989,6),(33990,6),(33991,5),(33992,4),(33993,7),(33994,6),(33995,9),(33996,6),(33997,9),(33998,8),(33999,3),(34000,1),(34001,8),(34002,9),(34003,7),(34004,7),(34005,6),(34006,1),(34007,3),(34008,6),(34009,9),(34010,8),(34011,1),(34012,7),(34013,5),(34014,7),(34015,5),(34016,3),(34017,2),(34018,2),(34019,3),(34020,5),(34021,7),(34022,9),(34023,7),(34024,2),(34025,9),(34026,8),(34027,7),(34028,4),(34029,3),(34030,4),(34031,3),(34032,6),(34033,5),(34034,7),(34035,6),(34036,8),(34037,3),(34038,4),(34039,5),(34040,6),(34041,9),(34042,4),(34043,5),(34044,3),(34045,3),(34046,2),(34047,5),(34048,4),(34049,2),(34050,9),(34051,1),(34052,1),(34053,2),(34054,8),(34055,1),(34056,4),(34057,4),(34058,7),(34059,3),(34060,4),(34061,3),(34062,1),(34063,4),(34064,5),(34065,4),(34066,1),(34067,2),(34068,8),(34069,7),(34070,2),(34071,7),(34072,8),(34073,3),(34074,9),(34075,1),(34076,3),(34077,8),(34078,5),(34079,2),(34080,5),(34081,4),(34082,4),(34083,4),(34084,2),(34085,9),(34086,2),(34087,3),(34088,1),(34089,1),(34090,7),(34091,4),(34092,8),(34093,6),(34094,2),(34095,4),(34096,7),(34097,6),(34098,8),(34099,5),(34100,3),(34101,8),(34102,2),(34103,8),(34104,6),(34105,3),(34106,9),(34107,1),(34108,9),(34109,7),(34110,3),(34111,6),(34112,9),(34113,5),(34114,6),(34115,1),(34116,1),(34117,2),(34118,4),(34119,2),(34120,8),(34121,1),(34122,3),(34123,1),(34124,8),(34125,3),(34126,6),(34127,3),(34128,6),(34129,5),(34130,4),(34131,6),(34132,7),(34133,5),(34134,4),(34135,7),(34136,6),(34137,8),(34138,4),(34139,6),(34140,2),(34141,4),(34142,6),(34143,6),(34144,9),(34145,5),(34146,1),(34147,1),(34148,3),(34149,4),(34150,1),(34151,7),(34152,2),(34153,8),(34154,5),(34155,9),(34156,2),(34157,2),(34158,2),(34159,7),(34160,5),(34161,7),(34162,2),(34163,4),(34164,2),(34165,8),(34166,7),(34167,8),(34168,6),(34169,1),(34170,8),(34171,1),(34172,5),(34173,6),(34174,2),(34175,5),(34176,6),(34177,4),(34178,7),(34179,6),(34180,6),(34181,8),(34182,8),(34183,7),(34184,5),(34185,2),(34186,2),(34187,1),(34188,3),(34189,6),(34190,6),(34191,3),(34192,9),(34193,6),(34194,2),(34195,2),(34196,9),(34197,5),(34198,8),(34199,4),(34200,6),(34201,6),(34202,7),(34203,2),(34204,2),(34205,3),(34206,4),(34207,3),(34208,1),(34209,8),(34210,8),(34211,8),(34212,9),(34213,6),(34214,5),(34215,6),(34216,2),(34217,3),(34218,7),(34219,8),(34220,7),(34221,7),(34222,1),(34223,4),(34224,3),(34225,4),(34226,7),(34227,4),(34228,5),(34229,5),(34230,9),(34231,7),(34232,1),(34233,5),(34234,5),(34235,6),(34236,2),(34237,7),(34238,2),(34239,8),(34240,5),(34241,3),(34242,6),(34243,3),(34244,9),(34245,2),(34246,4),(34247,2),(34248,7),(34249,5),(34250,2),(34251,4),(34252,2),(34253,8),(34254,3),(34255,2),(34256,4),(34257,2),(34258,7),(34259,1),(34260,3),(34261,8),(34262,2),(34263,2),(34264,8),(34265,8),(34266,1),(34267,4),(34268,9),(34269,5),(34270,6),(34271,5),(34272,7),(34273,8),(34274,5),(34275,3),(34276,6),(34277,7),(34278,9),(34279,6),(34280,1),(34281,6),(34282,5),(34283,7),(34284,2),(34285,9),(34286,3),(34287,6),(34288,4),(34289,9),(34290,3),(34291,6),(34292,3),(34293,5),(34294,8),(34295,9),(34296,2),(34297,4),(34298,9),(34299,2),(34300,6),(34301,6),(34302,9),(34303,1),(34304,5),(34305,2),(34306,5),(34307,4),(34308,3),(34309,6),(34310,7),(34311,1),(34312,1),(34313,6),(34314,8),(34315,5),(34316,1),(34317,6),(34318,8),(34319,6),(34320,4),(34321,6),(34322,6),(34323,6),(34324,4),(34325,3),(34326,4),(34327,1),(34328,1),(34329,2),(34330,1),(34331,8),(34332,2),(34333,1),(34334,2),(34335,4),(34336,6),(34337,3),(34338,3),(34339,7),(34340,5),(34341,6),(34342,9),(34343,5),(34344,7),(34345,2),(34346,1),(34347,6),(34348,5),(34349,2),(34350,4),(34351,8),(34352,7),(34353,4),(34354,3),(34355,6),(34356,8),(34357,5),(34358,3),(34359,9),(34360,8),(34361,9),(34362,5),(34363,9),(34364,4),(34365,2),(34366,9),(34367,7),(34368,9),(34369,3),(34370,7),(34371,3),(34372,3),(34373,3),(34374,4),(34375,3),(34376,4),(34377,9),(34378,5),(34379,5),(34380,6),(34381,9),(34382,2),(34383,3),(34384,9),(34385,1),(34386,5),(34387,8),(34388,6),(34389,9),(34390,5),(34391,7),(34392,8),(34393,4),(34394,4),(34395,3),(34396,8),(34397,9),(34398,3),(34399,8),(34400,5),(34401,7),(34402,4),(34403,8),(34404,3),(34405,6),(34406,7),(34407,7),(34408,7),(34409,4),(34410,7),(34411,9),(34412,9),(34413,7),(34414,1),(34415,4),(34416,5),(34417,5),(34418,3),(34419,4),(34420,9),(34421,2),(34422,2),(34423,3),(34424,4),(34425,6),(34426,9),(34427,7),(34428,6),(34429,5),(34430,1),(34431,5),(34432,1),(34433,9),(34434,1),(34435,8),(34436,8),(34437,9),(34438,5),(34439,4),(34440,8),(34441,9),(34442,3),(34443,9),(34444,7),(34445,7),(34446,1),(34447,2),(34448,7),(34449,1),(34450,7),(34451,1),(34452,9),(34453,1),(34454,6),(34455,2),(34456,6),(34457,5),(34458,9),(34459,4),(34460,4),(34461,7),(34462,2),(34463,9),(34464,9),(34465,9),(34466,6),(34467,1),(34468,4),(34469,7),(34470,6),(34471,6),(34472,8),(34473,8),(34474,9),(34475,3),(34476,8),(34477,2),(34478,1),(34479,4),(34480,5),(34481,2),(34482,3),(34483,4),(34484,2),(34485,3),(34486,2),(34487,3),(34488,1),(34489,4),(34490,5),(34491,8),(34492,6),(34493,2),(34494,6),(34495,9),(34496,3),(34497,8),(34498,2),(34499,5),(34500,9),(34501,5),(34502,7),(34503,7),(34504,9),(34505,1),(34506,4),(34507,7),(34508,6),(34509,7),(34510,8),(34511,8),(34512,8),(34513,5),(34514,6),(34515,7),(34516,4),(34517,2),(34518,5),(34519,2),(34520,4),(34521,2),(34522,8),(34523,2),(34524,6),(34525,7),(34526,7),(34527,8),(34528,4),(34529,3),(34530,8),(34531,9),(34532,5),(34533,8),(34534,9),(34535,3),(34536,7),(34537,6),(34538,6),(34539,5),(34540,8),(34541,1),(34542,3),(34543,2),(34544,8),(34545,2),(34546,1),(34547,3),(34548,1),(34549,8),(34550,4),(34551,8),(34552,7),(34553,5),(34554,7),(34555,1),(34556,1),(34557,2),(34558,8),(34559,9),(34560,1),(34561,8),(34562,1),(34563,9),(34564,8),(34565,1),(34566,5),(34567,7),(34568,6),(34569,2),(34570,8),(34571,7),(34572,1),(34573,5),(34574,7),(34575,3),(34576,4),(34577,8),(34578,4),(34579,3),(34580,6),(34581,1),(34582,1),(34583,6),(34584,1),(34585,4),(34586,3),(34587,2),(34588,1),(34589,9),(34590,3),(34591,7),(34592,1),(34593,6),(34594,7),(34595,7),(34596,1),(34597,7),(34598,6),(34599,7),(34600,5),(34601,4),(34602,9),(34603,3),(34604,3),(34605,6),(34606,9),(34607,6),(34608,5),(34609,7),(34610,4),(34611,8),(34612,7),(34613,1),(34614,9),(34615,1),(34616,4),(34617,9),(34618,9),(34619,7),(34620,9),(34621,6),(34622,9),(34623,2),(34624,5),(34625,8),(34626,6),(34627,1),(34628,6),(34629,9),(34630,9),(34631,7),(34632,5),(34633,8),(34634,4),(34635,3),(34636,6),(34637,3),(34638,8),(34639,6),(34640,2),(34641,6),(34642,2),(34643,8),(34644,1),(34645,6),(34646,1),(34647,2),(34648,5),(34649,2),(34650,5),(34651,7),(34652,6),(34653,2),(34654,9),(34655,4),(34656,3),(34657,9),(34658,6),(34659,9),(34660,2),(34661,8),(34662,4),(34663,5),(34664,9),(34665,1),(34666,8),(34667,1),(34668,6),(34669,9),(34670,3),(34671,7),(34672,6),(34673,2),(34674,5),(34675,3),(34676,8),(34677,5),(34678,3),(34679,2),(34680,5),(34681,3),(34682,1),(34683,7),(34684,9),(34685,7),(34686,5),(34687,4),(34688,4),(34689,8),(34690,5),(34691,4),(34692,6),(34693,6),(34694,3),(34695,2),(34696,8),(34697,9),(34698,1),(34699,7),(34700,5),(34701,4),(34702,9),(34703,1),(34704,2),(34705,2),(34706,2),(34707,3),(34708,9),(34709,1),(34710,6),(34711,3),(34712,5),(34713,5),(34714,6),(34715,8),(34716,2),(34717,5),(34718,3),(34719,8),(34720,1),(34721,4),(34722,5),(34723,2),(34724,9),(34725,4),(34726,6),(34727,6),(34728,7),(34729,3),(34730,3),(34731,7),(34732,6),(34733,2),(34734,8),(34735,6),(34736,5),(34737,7),(34738,1),(34739,9),(34740,9),(34741,5),(34742,7),(34743,4),(34744,8),(34745,6),(34746,3),(34747,7),(34748,9),(34749,8),(34750,1),(34751,2),(34752,5),(34753,8),(34754,2),(34755,4),(34756,9),(34757,5),(34758,5),(34759,9),(34760,3),(34761,2),(34762,1),(34763,1),(34764,7),(34765,2),(34766,9),(34767,3),(34768,1),(34769,1),(34770,5),(34771,9),(34772,5),(34773,9),(34774,6),(34775,3),(34776,7),(34777,1),(34778,7),(34779,9),(34780,5),(34781,4),(34782,4),(34783,9),(34784,2),(34785,2),(34786,2),(34787,2),(34788,1),(34789,2),(34790,4),(34791,5),(34792,5),(34793,6),(34794,7),(34795,8),(34796,7),(34797,5),(34798,6),(34799,3),(34800,5),(34801,4),(34802,8),(34803,1),(34804,3),(34805,2),(34806,8),(34807,5),(34808,9),(34809,6),(34810,7),(34811,1),(34812,7),(34813,8),(34814,2),(34815,1),(34816,6),(34817,4),(34818,1),(34819,1),(34820,9),(34821,9),(34822,4),(34823,9),(34824,3),(34825,7),(34826,5),(34827,4),(34828,9),(34829,7),(34830,3),(34831,6),(34832,2),(34833,8),(34834,3),(34835,3),(34836,6),(34837,4),(34838,9),(34839,1),(34840,9),(34841,3),(34842,7),(34843,4),(34844,9),(34845,3),(34846,1),(34847,7),(34848,9),(34849,8),(34850,1),(34851,8),(34852,8),(34853,6),(34854,8),(34855,5),(34856,9),(34857,7),(34858,5),(34859,9),(34860,5),(34861,8),(34862,2),(34863,2),(34864,8),(34865,3),(34866,4),(34867,5),(34868,2),(34869,5),(34870,4),(34871,1),(34872,4),(34873,4),(34874,6),(34875,4),(34876,3),(34877,3),(34878,5),(34879,5),(34880,4),(34881,3),(34882,1),(34883,8),(34884,8),(34885,7),(34886,8),(34887,2),(34888,6),(34889,1),(34890,7),(34891,6),(34892,2),(34893,9),(34894,7),(34895,9),(34896,3),(34897,1),(34898,4),(34899,4),(34900,8),(34901,4),(34902,1),(34903,7),(34904,2),(34905,1),(34906,9),(34907,6),(34908,9),(34909,9),(34910,7),(34911,8),(34912,7),(34913,3),(34914,3),(34915,6),(34916,2),(34917,9),(34918,1),(34919,5),(34920,8),(34921,4),(34922,3),(34923,5),(34924,5),(34925,1),(34926,2),(34927,2),(34928,4),(34929,8),(34930,8),(34931,2),(34932,3),(34933,9),(34934,2),(34935,4),(34936,6),(34937,2),(34938,6),(34939,3),(34940,7),(34941,9),(34942,3),(34943,9),(34944,3),(34945,5),(34946,8),(34947,1),(34948,6),(34949,1),(34950,5),(34951,1),(34952,1),(34953,9),(34954,7),(34955,9),(34956,9),(34957,6),(34958,6),(34959,7),(34960,4),(34961,2),(34962,7),(34963,6),(34964,5),(34965,7),(34966,6),(34967,1),(34968,7),(34969,1),(34970,1),(34971,5),(34972,8),(34973,8),(34974,7),(34975,5),(34976,8),(34977,1),(34978,1),(34979,9),(34980,4),(34981,9),(34982,4),(34983,7),(34984,1),(34985,9),(34986,3),(34987,2),(34988,8),(34989,4),(34990,8),(34991,3),(34992,1),(34993,5),(34994,1),(34995,1),(34996,8),(34997,7),(34998,7),(34999,4),(35000,5),(35001,4),(35002,3),(35003,6),(35004,2),(35005,2),(35006,4),(35007,7),(35008,7),(35009,7),(35010,7),(35011,1),(35012,3),(35013,2),(35014,2),(35015,1),(35016,1),(35017,9),(35018,9),(35019,7),(35020,7),(35021,2),(35022,2),(35023,2),(35024,2),(35025,3),(35026,3),(35027,9),(35028,8),(35029,9),(35030,7),(35031,7),(35032,1),(35033,3),(35034,6),(35035,2),(35036,8),(35037,2),(35038,6),(35039,6),(35040,7),(35041,3),(35042,1),(35043,1),(35044,2),(35045,5),(35046,2),(35047,1),(35048,2),(35049,2),(35050,5),(35051,8),(35052,7),(35053,1),(35054,7),(35055,9),(35056,4),(35057,6),(35058,7),(35059,8),(35060,6),(35061,1),(35062,6),(35063,4),(35064,2),(35065,5),(35066,4),(35067,5),(35068,4),(35069,6),(35070,6),(35071,9),(35072,1),(35073,8),(35074,7),(35075,8),(35076,2),(35077,9),(35078,5),(35079,6),(35080,4),(35081,8),(35082,8),(35083,2),(35084,2),(35085,9),(35086,7),(35087,7),(35088,5),(35089,2),(35090,8),(35091,8),(35092,1),(35093,2),(35094,9),(35095,8),(35096,1),(35097,5),(35098,2),(35099,6),(35100,7),(35101,8),(35102,5),(35103,8),(35104,9),(35105,5),(35106,1),(35107,9),(35108,4),(35109,3),(35110,9),(35111,7),(35112,6),(35113,9),(35114,3),(35115,8),(35116,9),(35117,9),(35118,4),(35119,8),(35120,6),(35121,9),(35122,1),(35123,9),(35124,8),(35125,4),(35126,1),(35127,3),(35128,5),(35129,8),(35130,6),(35131,6),(35132,5),(35133,4),(35134,6),(35135,9),(35136,5),(35137,1),(35138,5),(35139,8),(35140,1),(35141,2),(35142,8),(35143,7),(35144,6),(35145,7),(35146,2),(35147,4),(35148,5),(35149,2),(35150,5),(35151,8),(35152,5),(35153,7),(35154,5),(35155,3),(35156,2),(35157,4),(35158,6),(35159,5),(35160,9),(35161,7),(35162,4),(35163,3),(35164,5),(35165,4),(35166,3),(35167,3),(35168,5),(35169,3),(35170,9),(35171,6),(35172,9),(35173,8),(35174,3),(35175,6),(35176,7),(35177,8),(35178,7),(35179,6),(35180,4),(35181,5),(35182,2),(35183,6),(35184,3),(35185,1),(35186,3),(35187,6),(35188,5),(35189,5),(35190,5),(35191,6),(35192,8),(35193,4),(35194,1),(35195,2),(35196,9),(35197,9),(35198,7),(35199,9),(35200,9),(35201,3),(35202,4),(35203,7),(35204,1),(35205,6),(35206,7),(35207,4),(35208,1),(35209,2),(35210,6),(35211,1),(35212,1),(35213,2),(35214,8),(35215,1),(35216,1),(35217,1),(35218,2),(35219,4),(35220,8),(35221,7),(35222,3),(35223,6),(35224,2),(35225,2),(35226,7),(35227,2),(35228,6),(35229,9),(35230,9),(35231,1),(35232,5),(35233,1),(35234,7),(35235,2),(35236,4),(35237,5),(35238,9),(35239,3),(35240,5),(35241,5),(35242,2),(35243,1),(35244,8),(35245,7),(35246,1),(35247,6),(35248,4),(35249,6),(35250,2),(35251,6),(35252,3),(35253,5),(35254,6),(35255,4),(35256,3),(35257,3),(35258,9),(35259,2),(35260,2),(35261,6),(35262,6),(35263,3),(35264,5),(35265,2),(35266,2),(35267,2),(35268,7),(35269,4),(35270,5),(35271,4),(35272,3),(35273,3),(35274,8),(35275,7),(35276,9),(35277,5),(35278,5),(35279,2),(35280,6),(35281,5),(35282,6),(35283,1),(35284,4),(35285,2),(35286,6),(35287,7),(35288,2),(35289,7),(35290,4),(35291,8),(35292,4),(35293,1),(35294,5),(35295,1),(35296,1),(35297,8),(35298,5),(35299,6),(35300,2),(35301,9),(35302,7),(35303,2),(35304,2),(35305,5),(35306,6),(35307,3),(35308,6),(35309,5),(35310,5),(35311,8),(35312,9),(35313,4),(35314,9),(35315,2),(35316,9),(35317,7),(35318,8),(35319,4),(35320,8),(35321,2),(35322,1),(35323,8),(35324,9),(35325,5),(35326,4),(35327,1),(35328,9),(35329,6),(35330,2),(35331,8),(35332,2),(35333,3),(35334,9),(35335,7),(35336,7),(35337,6),(35338,4),(35339,7),(35340,1),(35341,2),(35342,9),(35343,1),(35344,6),(35345,5),(35346,4),(35347,3),(35348,8),(35349,5),(35350,6),(35351,5),(35352,2),(35353,6),(35354,7),(35355,4),(35356,7),(35357,5),(35358,2),(35359,2),(35360,7),(35361,9),(35362,3),(35363,4),(35364,2),(35365,4),(35366,9),(35367,9),(35368,2),(35369,7),(35370,6),(35371,2),(35372,7),(35373,2),(35374,5),(35375,3),(35376,5),(35377,2),(35378,9),(35379,1),(35380,4),(35381,5),(35382,8),(35383,3),(35384,1),(35385,4),(35386,5),(35387,3),(35388,4),(35389,2),(35390,8),(35391,1),(35392,3),(35393,5),(35394,4),(35395,3),(35396,1),(35397,5),(35398,9),(35399,3),(35400,4),(35401,6),(35402,9),(35403,8),(35404,8),(35405,2),(35406,1),(35407,6),(35408,4),(35409,8),(35410,3),(35411,1),(35412,9),(35413,4),(35414,1),(35415,9),(35416,6),(35417,1),(35418,1),(35419,6),(35420,4),(35421,8),(35422,4),(35423,6),(35424,9),(35425,3),(35426,9),(35427,2),(35428,9),(35429,2),(35430,2),(35431,7),(35432,9),(35433,2),(35434,7),(35435,5),(35436,2),(35437,2),(35438,4),(35439,8),(35440,2),(35441,2),(35442,7),(35443,2),(35444,4),(35445,8),(35446,6),(35447,6),(35448,7),(35449,9),(35450,8),(35451,3),(35452,3),(35453,9),(35454,4),(35455,7),(35456,8),(35457,1),(35458,1),(35459,2),(35460,5),(35461,7),(35462,1),(35463,7),(35464,7),(35465,2),(35466,6),(35467,9),(35468,8),(35469,5),(35470,2),(35471,9),(35472,3),(35473,6),(35474,7),(35475,9),(35476,3),(35477,2),(35478,2),(35479,5),(35480,8),(35481,9),(35482,3),(35483,6),(35484,4),(35485,1),(35486,2),(35487,5),(35488,8),(35489,9),(35490,1),(35491,7),(35492,4),(35493,8),(35494,2),(35495,8),(35496,4),(35497,9),(35498,8),(35499,3),(35500,7),(35501,7),(35502,6),(35503,9),(35504,2),(35505,6),(35506,6),(35507,7),(35508,4),(35509,1),(35510,2),(35511,8),(35512,5),(35513,1),(35514,5),(35515,7),(35516,3),(35517,3),(35518,5),(35519,6),(35520,5),(35521,6),(35522,9),(35523,3),(35524,5),(35525,2),(35526,1),(35527,8),(35528,8),(35529,9),(35530,9),(35531,5),(35532,5),(35533,1),(35534,1),(35535,7),(35536,1),(35537,4),(35538,7),(35539,8),(35540,4),(35541,7),(35542,4),(35543,5),(35544,5),(35545,3),(35546,9),(35547,9),(35548,9),(35549,5),(35550,9),(35551,6),(35552,7),(35553,4),(35554,8),(35555,7),(35556,5),(35557,5),(35558,6),(35559,9),(35560,2),(35561,4),(35562,9),(35563,5),(35564,6),(35565,7),(35566,2),(35567,8),(35568,6),(35569,8),(35570,7),(35571,2),(35572,8),(35573,7),(35574,9),(35575,8),(35576,2),(35577,2),(35578,1),(35579,3),(35580,3),(35581,5),(35582,4),(35583,7),(35584,7),(35585,9),(35586,9),(35587,8),(35588,1),(35589,8),(35590,3),(35591,7),(35592,6),(35593,4),(35594,4),(35595,1),(35596,5),(35597,9),(35598,3),(35599,4),(35600,8),(35601,4),(35602,5),(35603,9),(35604,8),(35605,5),(35606,6),(35607,8),(35608,6),(35609,9),(35610,1),(35611,2),(35612,9),(35613,2),(35614,4),(35615,2),(35616,7),(35617,7),(35618,7),(35619,7),(35620,4),(35621,5),(35622,2),(35623,5),(35624,3),(35625,7),(35626,5),(35627,5),(35628,5),(35629,3),(35630,4),(35631,3),(35632,4),(35633,6),(35634,5),(35635,8),(35636,2),(35637,7),(35638,1),(35639,6),(35640,2),(35641,8),(35642,2),(35643,7),(35644,9),(35645,1),(35646,1),(35647,3),(35648,1),(35649,8),(35650,3),(35651,4),(35652,3),(35653,5),(35654,1),(35655,7),(35656,6),(35657,2),(35658,6),(35659,8),(35660,4),(35661,7),(35662,5),(35663,2),(35664,9),(35665,7),(35666,2),(35667,8),(35668,3),(35669,3),(35670,3),(35671,2),(35672,1),(35673,6),(35674,3),(35675,6),(35676,3),(35677,9),(35678,5),(35679,8),(35680,4),(35681,4),(35682,4),(35683,1),(35684,7),(35685,1),(35686,9),(35687,9),(35688,7),(35689,7),(35690,9),(35691,5),(35692,4),(35693,3),(35694,9),(35695,1),(35696,1),(35697,1),(35698,5),(35699,1),(35700,9),(35701,3),(35702,9),(35703,7),(35704,3),(35705,7),(35706,6),(35707,2),(35708,2),(35709,7),(35710,9),(35711,9),(35712,9),(35713,9),(35714,3),(35715,3),(35716,1),(35717,3),(35718,7),(35719,7),(35720,6),(35721,2),(35722,5),(35723,2),(35724,3),(35725,6),(35726,5),(35727,1),(35728,1),(35729,3),(35730,4),(35731,3),(35732,1),(35733,5),(35734,2),(35735,9),(35736,1),(35737,9),(35738,7),(35739,4),(35740,4),(35741,8),(35742,8),(35743,9),(35744,1),(35745,4),(35746,2),(35747,4),(35748,3),(35749,5),(35750,5),(35751,4),(35752,5),(35753,8),(35754,1),(35755,2),(35756,5),(35757,2),(35758,4),(35759,3),(35760,6),(35761,6),(35762,8),(35763,4),(35764,1),(35765,4),(35766,1),(35767,3),(35768,9),(35769,5),(35770,9),(35771,7),(35772,9),(35773,4),(35774,2),(35775,8),(35776,2),(35777,5),(35778,2),(35779,5),(35780,2),(35781,2),(35782,4),(35783,4),(35784,4),(35785,8),(35786,8),(35787,9),(35788,3),(35789,7),(35790,4),(35791,3),(35792,6),(35793,9),(35794,6),(35795,9),(35796,3),(35797,4),(35798,7),(35799,6),(35800,4),(35801,2),(35802,3),(35803,9),(35804,4),(35805,6),(35806,2),(35807,7),(35808,9),(35809,7),(35810,2),(35811,1),(35812,4),(35813,5),(35814,7),(35815,5),(35816,7),(35817,3),(35818,5),(35819,2),(35820,5),(35821,7),(35822,7),(35823,5),(35824,1),(35825,7),(35826,3),(35827,3),(35828,1),(35829,6),(35830,4),(35831,8),(35832,7),(35833,5),(35834,2),(35835,9),(35836,7),(35837,6),(35838,9),(35839,3),(35840,9),(35841,6),(35842,7),(35843,4),(35844,9),(35845,1),(35846,5),(35847,9),(35848,1),(35849,4),(35850,6),(35851,9),(35852,6),(35853,9),(35854,6),(35855,2),(35856,3),(35857,6),(35858,4),(35859,7),(35860,4),(35861,3),(35862,8),(35863,9),(35864,2),(35865,4),(35866,3),(35867,9),(35868,2),(35869,4),(35870,3),(35871,7),(35872,3),(35873,1),(35874,2),(35875,6),(35876,6),(35877,5),(35878,9),(35879,1),(35880,1),(35881,5),(35882,9),(35883,6),(35884,8),(35885,6),(35886,4),(35887,4),(35888,6),(35889,1),(35890,6),(35891,4),(35892,9),(35893,2),(35894,8),(35895,4),(35896,1),(35897,4),(35898,9),(35899,2),(35900,1),(35901,7),(35902,9),(35903,7),(35904,8),(35905,8),(35906,9),(35907,5),(35908,3),(35909,1),(35910,5),(35911,4),(35912,9),(35913,8),(35914,8),(35915,3),(35916,8),(35917,1),(35918,9),(35919,8),(35920,8),(35921,9),(35922,1),(35923,7),(35924,4),(35925,5),(35926,3),(35927,8),(35928,1),(35929,6),(35930,4),(35931,6),(35932,3),(35933,2),(35934,6),(35935,3),(35936,7),(35937,6),(35938,6),(35939,1),(35940,3),(35941,8),(35942,8),(35943,4),(35944,2),(35945,6),(35946,4),(35947,1),(35948,9),(35949,3),(35950,2),(35951,3),(35952,3),(35953,6),(35954,3),(35955,4),(35956,3),(35957,9),(35958,6),(35959,4),(35960,9),(35961,8),(35962,5),(35963,1),(35964,3),(35965,4),(35966,3),(35967,6),(35968,1),(35969,7),(35970,9),(35971,7),(35972,7),(35973,4),(35974,3),(35975,6),(35976,7),(35977,9),(35978,6),(35979,5),(35980,1),(35981,7),(35982,6),(35983,8),(35984,1),(35985,8),(35986,1),(35987,5),(35988,7),(35989,9),(35990,1),(35991,6),(35992,9),(35993,6),(35994,2),(35995,7),(35996,5),(35997,8),(35998,2),(35999,8),(36000,5),(36001,5),(36002,2),(36003,1),(36004,1),(36005,6),(36006,9),(36007,2),(36008,9),(36009,6),(36010,2),(36011,8),(36012,3),(36013,1),(36014,5),(36015,5),(36016,4),(36017,3),(36018,8),(36019,7),(36020,5),(36021,6),(36022,8),(36023,2),(36024,4),(36025,2),(36026,2),(36027,7),(36028,6),(36029,8),(36030,5),(36031,9),(36032,5),(36033,7),(36034,5),(36035,2),(36036,6),(36037,7),(36038,2),(36039,3),(36040,3),(36041,4),(36042,5),(36043,3),(36044,1),(36045,8),(36046,5),(36047,6),(36048,9),(36049,7),(36050,1),(36051,8),(36052,9),(36053,4),(36054,1),(36055,2),(36056,7),(36057,6),(36058,2),(36059,9),(36060,9),(36061,5),(36062,7),(36063,9),(36064,6),(36065,7),(36066,1),(36067,1),(36068,4),(36069,4),(36070,8),(36071,5),(36072,7),(36073,2),(36074,5),(36075,3),(36076,4),(36077,2),(36078,8),(36079,1),(36080,2),(36081,9),(36082,6),(36083,4),(36084,3),(36085,6),(36086,1),(36087,2),(36088,8),(36089,4),(36090,5),(36091,2),(36092,4),(36093,4),(36094,6),(36095,2),(36096,6),(36097,3),(36098,5),(36099,7),(36100,6),(36101,9),(36102,4),(36103,1),(36104,3),(36105,1),(36106,1),(36107,1),(36108,3),(36109,4),(36110,5),(36111,8),(36112,8),(36113,8),(36114,4),(36115,4),(36116,2),(36117,8),(36118,9),(36119,1),(36120,3),(36121,9),(36122,5),(36123,7),(36124,2),(36125,9),(36126,9),(36127,5),(36128,8),(36129,4),(36130,2),(36131,5),(36132,4),(36133,6),(36134,5),(36135,2),(36136,4),(36137,5),(36138,5),(36139,7),(36140,2),(36141,9),(36142,4),(36143,3),(36144,2),(36145,1),(36146,6),(36147,5),(36148,1),(36149,5),(36150,5),(36151,8),(36152,2),(36153,8),(36154,6),(36155,6),(36156,1),(36157,3),(36158,9),(36159,7),(36160,6),(36161,6),(36162,4),(36163,9),(36164,8),(36165,9),(36166,3),(36167,8),(36168,5),(36169,2),(36170,4),(36171,1),(36172,3),(36173,2),(36174,9),(36175,7),(36176,9),(36177,8),(36178,7),(36179,9),(36180,9),(36181,4),(36182,8),(36183,3),(36184,3),(36185,7),(36186,3),(36187,2),(36188,4),(36189,9),(36190,7),(36191,5),(36192,7),(36193,6),(36194,2),(36195,7),(36196,8),(36197,2),(36198,1),(36199,3),(36200,5),(36201,6),(36202,1),(36203,1),(36204,8),(36205,1),(36206,3),(36207,7),(36208,6),(36209,6),(36210,4),(36211,2),(36212,5),(36213,5),(36214,9),(36215,3),(36216,5),(36217,8),(36218,4),(36219,4),(36220,6),(36221,2),(36222,7),(36223,1),(36224,1),(36225,4),(36226,8),(36227,8),(36228,7),(36229,6),(36230,9),(36231,6),(36232,8),(36233,5),(36234,2),(36235,3),(36236,2),(36237,9),(36238,3),(36239,6),(36240,9),(36241,3),(36242,4),(36243,6),(36244,6),(36245,9),(36246,1),(36247,6),(36248,7),(36249,6),(36250,5),(36251,4),(36252,4),(36253,3),(36254,5),(36255,8),(36256,2),(36257,1),(36258,1),(36259,1),(36260,3),(36261,8),(36262,7),(36263,7),(36264,6),(36265,3),(36266,1),(36267,1),(36268,8),(36269,1),(36270,1),(36271,2),(36272,7),(36273,2),(36274,5),(36275,8),(36276,9),(36277,2),(36278,1),(36279,1),(36280,8),(36281,3),(36282,1),(36283,3),(36284,5),(36285,7),(36286,8),(36287,5),(36288,3),(36289,8),(36290,4),(36291,7),(36292,1),(36293,3),(36294,1),(36295,4),(36296,8),(36297,7),(36298,7),(36299,2),(36300,5),(36301,2),(36302,4),(36303,1),(36304,8),(36305,5),(36306,4),(36307,2),(36308,3),(36309,4),(36310,4),(36311,6),(36312,4),(36313,8),(36314,2),(36315,1),(36316,2),(36317,1),(36318,2),(36319,9),(36320,8),(36321,3),(36322,9),(36323,7),(36324,1),(36325,5),(36326,1),(36327,5),(36328,2),(36329,7),(36330,8),(36331,3),(36332,3),(36333,7),(36334,7),(36335,7),(36336,4),(36337,3),(36338,7),(36339,8),(36340,4),(36341,9),(36342,8),(36343,7),(36344,4),(36345,7),(36346,9),(36347,9),(36348,9),(36349,9),(36350,7),(36351,9),(36352,5),(36353,3),(36354,8),(36355,6),(36356,5),(36357,6),(36358,6),(36359,7),(36360,6),(36361,3),(36362,2),(36363,7),(36364,5),(36365,3),(36366,6),(36367,9),(36368,9),(36369,1),(36370,8),(36371,1),(36372,8),(36373,7),(36374,6),(36375,3),(36376,5),(36377,7),(36378,7),(36379,4),(36380,1),(36381,1),(36382,1),(36383,6),(36384,5),(36385,5),(36386,4),(36387,3),(36388,9),(36389,4),(36390,8),(36391,3),(36392,8),(36393,6),(36394,4),(36395,7),(36396,8),(36397,7),(36398,7),(36399,9),(36400,9),(36401,7),(36402,7),(36403,7),(36404,1),(36405,6),(36406,3),(36407,4),(36408,8),(36409,8),(36410,7),(36411,2),(36412,3),(36413,6),(36414,1),(36415,3),(36416,3),(36417,8),(36418,4),(36419,5),(36420,9),(36421,3),(36422,6),(36423,6),(36424,4),(36425,9),(36426,9),(36427,4),(36428,2),(36429,8),(36430,7),(36431,4),(36432,7),(36433,8),(36434,5),(36435,3),(36436,9),(36437,9),(36438,4),(36439,2),(36440,4),(36441,8),(36442,7),(36443,4),(36444,4),(36445,1),(36446,7),(36447,5),(36448,1),(36449,6),(36450,2),(36451,8),(36452,6),(36453,8),(36454,4),(36455,4),(36456,5),(36457,7),(36458,8),(36459,1),(36460,1),(36461,5),(36462,1),(36463,8),(36464,1),(36465,6),(36466,2),(36467,2),(36468,8),(36469,6),(36470,6),(36471,7),(36472,9),(36473,8),(36474,8),(36475,2),(36476,4),(36477,4),(36478,4),(36479,8),(36480,3),(36481,4),(36482,4),(36483,4),(36484,2),(36485,6),(36486,5),(36487,2),(36488,5),(36489,7),(36490,5),(36491,9),(36492,2),(36493,8),(36494,9),(36495,9),(36496,3),(36497,9),(36498,2),(36499,3),(36500,3),(36501,1),(36502,8),(36503,9),(36504,6),(36505,6),(36506,9),(36507,4),(36508,2),(36509,4),(36510,2),(36511,2),(36512,4),(36513,1),(36514,1),(36515,3),(36516,1),(36517,5),(36518,6),(36519,7),(36520,6),(36521,1),(36522,1),(36523,2),(36524,1),(36525,1),(36526,3),(36527,6),(36528,8),(36529,9),(36530,1),(36531,8),(36532,4),(36533,6),(36534,6),(36535,2),(36536,2),(36537,6),(36538,9),(36539,7),(36540,4),(36541,8),(36542,9),(36543,8),(36544,1),(36545,8),(36546,6),(36547,4),(36548,8),(36549,2),(36550,8),(36551,7),(36552,9),(36553,5),(36554,1),(36555,1),(36556,3),(36557,1),(36558,6),(36559,4),(36560,5),(36561,6),(36562,4),(36563,2),(36564,3),(36565,9),(36566,8),(36567,5),(36568,3),(36569,9),(36570,1),(36571,9),(36572,4),(36573,6),(36574,3),(36575,8),(36576,5),(36577,8),(36578,9),(36579,2),(36580,7),(36581,7),(36582,2),(36583,4),(36584,9),(36585,7),(36586,5),(36587,1),(36588,4),(36589,3),(36590,4),(36591,5),(36592,5),(36593,9),(36594,5),(36595,2),(36596,6),(36597,4),(36598,8),(36599,6),(36600,7),(36601,4),(36602,2),(36603,8),(36604,7),(36605,6),(36606,3),(36607,1),(36608,4),(36609,4),(36610,4),(36611,9),(36612,1),(36613,8),(36614,8),(36615,1),(36616,7),(36617,2),(36618,8),(36619,8),(36620,9),(36621,6),(36622,8),(36623,7),(36624,7),(36625,8),(36626,7),(36627,9),(36628,2),(36629,9),(36630,5),(36631,3),(36632,6),(36633,3),(36634,9),(36635,2),(36636,1),(36637,9),(36638,8),(36639,8),(36640,9),(36641,7),(36642,7),(36643,7),(36644,1),(36645,4),(36646,2),(36647,1),(36648,3),(36649,6),(36650,4),(36651,2),(36652,7),(36653,9),(36654,8),(36655,2),(36656,1),(36657,4),(36658,6),(36659,5),(36660,4),(36661,6),(36662,8),(36663,5),(36664,3),(36665,9),(36666,9),(36667,5),(36668,9),(36669,2),(36670,5),(36671,4),(36672,5),(36673,8),(36674,6),(36675,7),(36676,6),(36677,7),(36678,6),(36679,5),(36680,1),(36681,4),(36682,8),(36683,3),(36684,6),(36685,1),(36686,7),(36687,6),(36688,3),(36689,5),(36690,8),(36691,5),(36692,4),(36693,8),(36694,4),(36695,4),(36696,4),(36697,1),(36698,7),(36699,4),(36700,2),(36701,6),(36702,8),(36703,4),(36704,1),(36705,6),(36706,4),(36707,8),(36708,8),(36709,3),(36710,7),(36711,2),(36712,4),(36713,9),(36714,1),(36715,7),(36716,7),(36717,6),(36718,9),(36719,3),(36720,3),(36721,3),(36722,6),(36723,1),(36724,9),(36725,2),(36726,3),(36727,5),(36728,6),(36729,1),(36730,4),(36731,9),(36732,2),(36733,4),(36734,8),(36735,6),(36736,6),(36737,2),(36738,9),(36739,1),(36740,4),(36741,9),(36742,7),(36743,3),(36744,4),(36745,4),(36746,8),(36747,8),(36748,7),(36749,2),(36750,9),(36751,8),(36752,9),(36753,8),(36754,2),(36755,4),(36756,1),(36757,9),(36758,7),(36759,5),(36760,6),(36761,5),(36762,5),(36763,7),(36764,3),(36765,2),(36766,7),(36767,1),(36768,2),(36769,4),(36770,5),(36771,2),(36772,2),(36773,6),(36774,8),(36775,7),(36776,5),(36777,3),(36778,1),(36779,1),(36780,2),(36781,3),(36782,4),(36783,1),(36784,7),(36785,2),(36786,5),(36787,6),(36788,7),(36789,5),(36790,1),(36791,3),(36792,4),(36793,4),(36794,2),(36795,7),(36796,3),(36797,8),(36798,9),(36799,2),(36800,5),(36801,5),(36802,8),(36803,3),(36804,8),(36805,2),(36806,3),(36807,1),(36808,5),(36809,5),(36810,6),(36811,6),(36812,9),(36813,7),(36814,6),(36815,1),(36816,5),(36817,8),(36818,2),(36819,9),(36820,5),(36821,2),(36822,1),(36823,4),(36824,9),(36825,3),(36826,5),(36827,1),(36828,1),(36829,5),(36830,8),(36831,3),(36832,7),(36833,9),(36834,2),(36835,3),(36836,6),(36837,8),(36838,6),(36839,3),(36840,1),(36841,5),(36842,1),(36843,4),(36844,2),(36845,9),(36846,3),(36847,5),(36848,5),(36849,8),(36850,9),(36851,2),(36852,3),(36853,1),(36854,1),(36855,5),(36856,1),(36857,7),(36858,8),(36859,1),(36860,8),(36861,4),(36862,7),(36863,3),(36864,2),(36865,8),(36866,1),(36867,2),(36868,9),(36869,5),(36870,9),(36871,3),(36872,6),(36873,8),(36874,6),(36875,3),(36876,3),(36877,7),(36878,9),(36879,8),(36880,2),(36881,2),(36882,8),(36883,9),(36884,5),(36885,2),(36886,5),(36887,1),(36888,5),(36889,2),(36890,4),(36891,1),(36892,4),(36893,4),(36894,4),(36895,4),(36896,2),(36897,3),(36898,8),(36899,3),(36900,8),(36901,8),(36902,4),(36903,1),(36904,5),(36905,5),(36906,8),(36907,9),(36908,1),(36909,8),(36910,4),(36911,7),(36912,3),(36913,9),(36914,4),(36915,9),(36916,4),(36917,4),(36918,9),(36919,4),(36920,1),(36921,6),(36922,4),(36923,7),(36924,8),(36925,2),(36926,4),(36927,7),(36928,4),(36929,3),(36930,9),(36931,7),(36932,1),(36933,1),(36934,7),(36935,7),(36936,6),(36937,3),(36938,9),(36939,7),(36940,8),(36941,3),(36942,4),(36943,7),(36944,5),(36945,5),(36946,3),(36947,1),(36948,8),(36949,2),(36950,1),(36951,9),(36952,6),(36953,8),(36954,9),(36955,4),(36956,5),(36957,9),(36958,5),(36959,6),(36960,3),(36961,7),(36962,4),(36963,6),(36964,1),(36965,3),(36966,5),(36967,7),(36968,7),(36969,3),(36970,5),(36971,9),(36972,4),(36973,3),(36974,3),(36975,7),(36976,1),(36977,9),(36978,9),(36979,8),(36980,5),(36981,6),(36982,9),(36983,1),(36984,5),(36985,4),(36986,5),(36987,9),(36988,9),(36989,3),(36990,1),(36991,6),(36992,2),(36993,4),(36994,4),(36995,8),(36996,5),(36997,9),(36998,4),(36999,4),(37000,5),(37001,4),(37002,4),(37003,4),(37004,4),(37005,3),(37006,5),(37007,3),(37008,4),(37009,8),(37010,7),(37011,2),(37012,4),(37013,4),(37014,3),(37015,5),(37016,1),(37017,7),(37018,6),(37019,9),(37020,7),(37021,1),(37022,5),(37023,1),(37024,7),(37025,7),(37026,6),(37027,3),(37028,6),(37029,4),(37030,5),(37031,1),(37032,5),(37033,5),(37034,4),(37035,1),(37036,9),(37037,2),(37038,1),(37039,1),(37040,7),(37041,4),(37042,3),(37043,3),(37044,9),(37045,3),(37046,6),(37047,6),(37048,1),(37049,2),(37050,8),(37051,4),(37052,4),(37053,4),(37054,8),(37055,9),(37056,4),(37057,4),(37058,1),(37059,9),(37060,4),(37061,7),(37062,6),(37063,3),(37064,2),(37065,7),(37066,8),(37067,4),(37068,6),(37069,2),(37070,3),(37071,8),(37072,5),(37073,4),(37074,2),(37075,1),(37076,7),(37077,3),(37078,4),(37079,2),(37080,5),(37081,9),(37082,6),(37083,1),(37084,3),(37085,1),(37086,6),(37087,7),(37088,8),(37089,3),(37090,8),(37091,1),(37092,4),(37093,5),(37094,3),(37095,8),(37096,1),(37097,3),(37098,4),(37099,3),(37100,6),(37101,9),(37102,6),(37103,3),(37104,2),(37105,1),(37106,1),(37107,6),(37108,9),(37109,9),(37110,8),(37111,1),(37112,8),(37113,3),(37114,1),(37115,8),(37116,5),(37117,8),(37118,2),(37119,8),(37120,6),(37121,9),(37122,2),(37123,4),(37124,4),(37125,8),(37126,8),(37127,9),(37128,4),(37129,5),(37130,6),(37131,4),(37132,8),(37133,3),(37134,5),(37135,6),(37136,2),(37137,3),(37138,8),(37139,2),(37140,1),(37141,4),(37142,4),(37143,1),(37144,9),(37145,3),(37146,1),(37147,4),(37148,7),(37149,3),(37150,3),(37151,5),(37152,3),(37153,3),(37154,9),(37155,9),(37156,7),(37157,8),(37158,8),(37159,5),(37160,4),(37161,2),(37162,3),(37163,2),(37164,1),(37165,3),(37166,1),(37167,5),(37168,2),(37169,8),(37170,9),(37171,2),(37172,8),(37173,7),(37174,2),(37175,6),(37176,7),(37177,4),(37178,9),(37179,3),(37180,9),(37181,7),(37182,2),(37183,7),(37184,6),(37185,6),(37186,2),(37187,8),(37188,8),(37189,7),(37190,4),(37191,8),(37192,8),(37193,7),(37194,3),(37195,5),(37196,2),(37197,4),(37198,6),(37199,3),(37200,2),(37201,4),(37202,4),(37203,6),(37204,7),(37205,8),(37206,4),(37207,6),(37208,7),(37209,8),(37210,7),(37211,7),(37212,3),(37213,1),(37214,3),(37215,5),(37216,6),(37217,9),(37218,3),(37219,6),(37220,6),(37221,5),(37222,7),(37223,8),(37224,7),(37225,9),(37226,3),(37227,2),(37228,7),(37229,8),(37230,3),(37231,5),(37232,8),(37233,6),(37234,9),(37235,1),(37236,1),(37237,7),(37238,5),(37239,2),(37240,5),(37241,4),(37242,4),(37243,2),(37244,6),(37245,7),(37246,9),(37247,6),(37248,2),(37249,6),(37250,6),(37251,3),(37252,1),(37253,8),(37254,4),(37255,2),(37256,8),(37257,6),(37258,8),(37259,1),(37260,8),(37261,5),(37262,2),(37263,6),(37264,2),(37265,8),(37266,9),(37267,4),(37268,2),(37269,7),(37270,7),(37271,9),(37272,2),(37273,6),(37274,2),(37275,5),(37276,2),(37277,9),(37278,9),(37279,6),(37280,9),(37281,3),(37282,4),(37283,1),(37284,2),(37285,1),(37286,4),(37287,8),(37288,4),(37289,4),(37290,3),(37291,9),(37292,1),(37293,8),(37294,9),(37295,8),(37296,2),(37297,9),(37298,7),(37299,4),(37300,4),(37301,7),(37302,7),(37303,5),(37304,9),(37305,5),(37306,8),(37307,7),(37308,4),(37309,3),(37310,6),(37311,8),(37312,4),(37313,7),(37314,4),(37315,6),(37316,4),(37317,2),(37318,2),(37319,6),(37320,4),(37321,2),(37322,2),(37323,3),(37324,3),(37325,6),(37326,2),(37327,9),(37328,1),(37329,2),(37330,3),(37331,4),(37332,9),(37333,1),(37334,3),(37335,5),(37336,1),(37337,5),(37338,5),(37339,2),(37340,3),(37341,3),(37342,9),(37343,1),(37344,5),(37345,2),(37346,9),(37347,3),(37348,8),(37349,2),(37350,9),(37351,5),(37352,6),(37353,8),(37354,8),(37355,1),(37356,4),(37357,8),(37358,9),(37359,9),(37360,7),(37361,1),(37362,1),(37363,4),(37364,8),(37365,8),(37366,1),(37367,2),(37368,6),(37369,2),(37370,3),(37371,1),(37372,1),(37373,5),(37374,1),(37375,1),(37376,4),(37377,7),(37378,6),(37379,2),(37380,5),(37381,4),(37382,4),(37383,6),(37384,1),(37385,5),(37386,3),(37387,3),(37388,3),(37389,3),(37390,3),(37391,1),(37392,6),(37393,8),(37394,4),(37395,7),(37396,6),(37397,1),(37398,8),(37399,1),(37400,4),(37401,3),(37402,6),(37403,1),(37404,5),(37405,4),(37406,5),(37407,3),(37408,8),(37409,7),(37410,2),(37411,1),(37412,4),(37413,7),(37414,4),(37415,4),(37416,3),(37417,8),(37418,8),(37419,5),(37420,7),(37421,9),(37422,6),(37423,7),(37424,4),(37425,4),(37426,8),(37427,6),(37428,2),(37429,4),(37430,3),(37431,9),(37432,8),(37433,4),(37434,7),(37435,8),(37436,4),(37437,6),(37438,8),(37439,9),(37440,2),(37441,2),(37442,7),(37443,4),(37444,6),(37445,5),(37446,9),(37447,3),(37448,1),(37449,6),(37450,2),(37451,3),(37452,3),(37453,2),(37454,8),(37455,6),(37456,1),(37457,3),(37458,8),(37459,9),(37460,1),(37461,4),(37462,4),(37463,7),(37464,5),(37465,8),(37466,2),(37467,6),(37468,8),(37469,7),(37470,8),(37471,7),(37472,5),(37473,2),(37474,2),(37475,2),(37476,9),(37477,9),(37478,3),(37479,1),(37480,9),(37481,4),(37482,7),(37483,8),(37484,2),(37485,3),(37486,5),(37487,5),(37488,6),(37489,2),(37490,5),(37491,9),(37492,6),(37493,1),(37494,6),(37495,9),(37496,5),(37497,4),(37498,2),(37499,4),(37500,4),(37501,3),(37502,4),(37503,5),(37504,2),(37505,7),(37506,1),(37507,8),(37508,3),(37509,8),(37510,3),(37511,6),(37512,7),(37513,4),(37514,6),(37515,4),(37516,1),(37517,9),(37518,9),(37519,3),(37520,3),(37521,9),(37522,8),(37523,4),(37524,5),(37525,9),(37526,4),(37527,5),(37528,5),(37529,8),(37530,7),(37531,8),(37532,9),(37533,3),(37534,4),(37535,2),(37536,3),(37537,9),(37538,6),(37539,5),(37540,8),(37541,8),(37542,8),(37543,6),(37544,8),(37545,9),(37546,1),(37547,1),(37548,3),(37549,4),(37550,1),(37551,3),(37552,1),(37553,3),(37554,4),(37555,5),(37556,6),(37557,1),(37558,8),(37559,9),(37560,5),(37561,4),(37562,6),(37563,3),(37564,3),(37565,5),(37566,9),(37567,3),(37568,2),(37569,6),(37570,5),(37571,2),(37572,4),(37573,6),(37574,3),(37575,6),(37576,4),(37577,9),(37578,7),(37579,8),(37580,3),(37581,7),(37582,2),(37583,2),(37584,2),(37585,2),(37586,8),(37587,9),(37588,5),(37589,2),(37590,9),(37591,9),(37592,3),(37593,3),(37594,4),(37595,2),(37596,1),(37597,3),(37598,1),(37599,9),(37600,1),(37601,1),(37602,1),(37603,8),(37604,8),(37605,1),(37606,5),(37607,4),(37608,5),(37609,2),(37610,9),(37611,1),(37612,3),(37613,6),(37614,7),(37615,4),(37616,2),(37617,6),(37618,4),(37619,8),(37620,7),(37621,2),(37622,3),(37623,5),(37624,8),(37625,4),(37626,3),(37627,8),(37628,8),(37629,4),(37630,5),(37631,9),(37632,3),(37633,8),(37634,9),(37635,1),(37636,9),(37637,4),(37638,9),(37639,5),(37640,3),(37641,2),(37642,7),(37643,9),(37644,7),(37645,7),(37646,9),(37647,7),(37648,5),(37649,9),(37650,4),(37651,6),(37652,2),(37653,1),(37654,3),(37655,7),(37656,3),(37657,4),(37658,7),(37659,8),(37660,4),(37661,5),(37662,6),(37663,6),(37664,6),(37665,2),(37666,7),(37667,1),(37668,4),(37669,6),(37670,4),(37671,1),(37672,9),(37673,7),(37674,9),(37675,4),(37676,2),(37677,1),(37678,2),(37679,9),(37680,4),(37681,2),(37682,9),(37683,3),(37684,1),(37685,4),(37686,1),(37687,7),(37688,4),(37689,7),(37690,1),(37691,7),(37692,5),(37693,5),(37694,1),(37695,6),(37696,1),(37697,3),(37698,6),(37699,5),(37700,2),(37701,1),(37702,3),(37703,9),(37704,6),(37705,1),(37706,8),(37707,5),(37708,5),(37709,2),(37710,1),(37711,1),(37712,1),(37713,1),(37714,4),(37715,6),(37716,9),(37717,3),(37718,7),(37719,2),(37720,8),(37721,9),(37722,4),(37723,8),(37724,2),(37725,5),(37726,1),(37727,4),(37728,1),(37729,7),(37730,9),(37731,2),(37732,6),(37733,1),(37734,3),(37735,2),(37736,4),(37737,6),(37738,6),(37739,6),(37740,8),(37741,3),(37742,1),(37743,9),(37744,6),(37745,8),(37746,5),(37747,4),(37748,2),(37749,3),(37750,4),(37751,6),(37752,8),(37753,2),(37754,1),(37755,4),(37756,9),(37757,5),(37758,9),(37759,3),(37760,6),(37761,7),(37762,5),(37763,3),(37764,4),(37765,1),(37766,1),(37767,8),(37768,6),(37769,2),(37770,5),(37771,9),(37772,3),(37773,5),(37774,1),(37775,6),(37776,4),(37777,9),(37778,3),(37779,2),(37780,6),(37781,7),(37782,5),(37783,8),(37784,9),(37785,9),(37786,9),(37787,1),(37788,2),(37789,4),(37790,5),(37791,2),(37792,5),(37793,2),(37794,3),(37795,2),(37796,3),(37797,8),(37798,7),(37799,1),(37800,7),(37801,7),(37802,8),(37803,3),(37804,7),(37805,9),(37806,4),(37807,7),(37808,7),(37809,4),(37810,7),(37811,9),(37812,2),(37813,2),(37814,1),(37815,6),(37816,5),(37817,2),(37818,2),(37819,5),(37820,5),(37821,8),(37822,7),(37823,1),(37824,5),(37825,2),(37826,8),(37827,7),(37828,2),(37829,5),(37830,4),(37831,7),(37832,3),(37833,9),(37834,3),(37835,2),(37836,9),(37837,3),(37838,9),(37839,3),(37840,4),(37841,2),(37842,4),(37843,9),(37844,6),(37845,4),(37846,2),(37847,5),(37848,6),(37849,3),(37850,5),(37851,6),(37852,6),(37853,4),(37854,6),(37855,9),(37856,9),(37857,8),(37858,2),(37859,7),(37860,8),(37861,1),(37862,9),(37863,8),(37864,6),(37865,5),(37866,3),(37867,9),(37868,8),(37869,4),(37870,8),(37871,4),(37872,1),(37873,3),(37874,1),(37875,3),(37876,3),(37877,1),(37878,3),(37879,3),(37880,7),(37881,9),(37882,4),(37883,9),(37884,2),(37885,2),(37886,8),(37887,9),(37888,3),(37889,5),(37890,1),(37891,5),(37892,3),(37893,9),(37894,3),(37895,5),(37896,5),(37897,1),(37898,8),(37899,9),(37900,2),(37901,3),(37902,2),(37903,1),(37904,1),(37905,2),(37906,2),(37907,9),(37908,9),(37909,9),(37910,1),(37911,7),(37912,6),(37913,9),(37914,4),(37915,5),(37916,1),(37917,2),(37918,1),(37919,4),(37920,4),(37921,2),(37922,9),(37923,3),(37924,7),(37925,1),(37926,1),(37927,9),(37928,9),(37929,1),(37930,3),(37931,5),(37932,9),(37933,7),(37934,1),(37935,5),(37936,7),(37937,9),(37938,7),(37939,9),(37940,4),(37941,8),(37942,1),(37943,9),(37944,6),(37945,4),(37946,7),(37947,5),(37948,6),(37949,1),(37950,9),(37951,9),(37952,6),(37953,1),(37954,9),(37955,3),(37956,9),(37957,1),(37958,1),(37959,7),(37960,7),(37961,3),(37962,5),(37963,9),(37964,8),(37965,6),(37966,9),(37967,2),(37968,2),(37969,4),(37970,6),(37971,6),(37972,6),(37973,9),(37974,5),(37975,3),(37976,9),(37977,7),(37978,4),(37979,6),(37980,2),(37981,3),(37982,7),(37983,4),(37984,4),(37985,6),(37986,9),(37987,6),(37988,9),(37989,1),(37990,6),(37991,4),(37992,5),(37993,2),(37994,4),(37995,9),(37996,9),(37997,3),(37998,1),(37999,7),(38000,8),(38001,9),(38002,6),(38003,7),(38004,6),(38005,7),(38006,2),(38007,7),(38008,2),(38009,4),(38010,8),(38011,9),(38012,9),(38013,4),(38014,1),(38015,5),(38016,1),(38017,9),(38018,1),(38019,4),(38020,6),(38021,4),(38022,4),(38023,9),(38024,5),(38025,8),(38026,7),(38027,2),(38028,5),(38029,3),(38030,4),(38031,3),(38032,9),(38033,6),(38034,6),(38035,1),(38036,5),(38037,5),(38038,5),(38039,4),(38040,7),(38041,4),(38042,2),(38043,6),(38044,1),(38045,7),(38046,2),(38047,9),(38048,2),(38049,1),(38050,1),(38051,8),(38052,5),(38053,7),(38054,9),(38055,7),(38056,5),(38057,6),(38058,2),(38059,9),(38060,8),(38061,5),(38062,1),(38063,6),(38064,6),(38065,5),(38066,3),(38067,2),(38068,9),(38069,9),(38070,5),(38071,6),(38072,6),(38073,1),(38074,2),(38075,5),(38076,6),(38077,8),(38078,5),(38079,6),(38080,8),(38081,2),(38082,7),(38083,3),(38084,2),(38085,8),(38086,5),(38087,1),(38088,6),(38089,6),(38090,9),(38091,2),(38092,4),(38093,7),(38094,8),(38095,6),(38096,7),(38097,5),(38098,1),(38099,4),(38100,2),(38101,2),(38102,5),(38103,2),(38104,9),(38105,2),(38106,5),(38107,4),(38108,3),(38109,4),(38110,3),(38111,6),(38112,9),(38113,4),(38114,7),(38115,7),(38116,1),(38117,5),(38118,3),(38119,7),(38120,5),(38121,1),(38122,3),(38123,9),(38124,1),(38125,3),(38126,6),(38127,1),(38128,3),(38129,8),(38130,1),(38131,5),(38132,7),(38133,7),(38134,6),(38135,9),(38136,4),(38137,5),(38138,4),(38139,7),(38140,3),(38141,6),(38142,2),(38143,4),(38144,6),(38145,9),(38146,4),(38147,6),(38148,4),(38149,9),(38150,9),(38151,9),(38152,2),(38153,8),(38154,3),(38155,2),(38156,1),(38157,7),(38158,3),(38159,9),(38160,2),(38161,6),(38162,5),(38163,8),(38164,9),(38165,8),(38166,1),(38167,7),(38168,2),(38169,3),(38170,4),(38171,3),(38172,7),(38173,8),(38174,5),(38175,5),(38176,1),(38177,6),(38178,7),(38179,7),(38180,9),(38181,6),(38182,8),(38183,5),(38184,7),(38185,5),(38186,9),(38187,2),(38188,9),(38189,2),(38190,2),(38191,4),(38192,8),(38193,3),(38194,2),(38195,8),(38196,9),(38197,7),(38198,2),(38199,4),(38200,8),(38201,8),(38202,4),(38203,1),(38204,3),(38205,3),(38206,6),(38207,4),(38208,1),(38209,5),(38210,2),(38211,2),(38212,9),(38213,7),(38214,9),(38215,3),(38216,9),(38217,4),(38218,7),(38219,8),(38220,4),(38221,5),(38222,5),(38223,2),(38224,8),(38225,4),(38226,1),(38227,2),(38228,8),(38229,1),(38230,7),(38231,6),(38232,5),(38233,6),(38234,1),(38235,5),(38236,3),(38237,7),(38238,1),(38239,6),(38240,7),(38241,4),(38242,3),(38243,5),(38244,5),(38245,9),(38246,4),(38247,8),(38248,7),(38249,4),(38250,8),(38251,7),(38252,3),(38253,7),(38254,9),(38255,8),(38256,3),(38257,3),(38258,7),(38259,4),(38260,6),(38261,8),(38262,7),(38263,8),(38264,2),(38265,8),(38266,6),(38267,2),(38268,5),(38269,8),(38270,2),(38271,7),(38272,8),(38273,6),(38274,8),(38275,4),(38276,7),(38277,7),(38278,1),(38279,8),(38280,1),(38281,3),(38282,5),(38283,8),(38284,3),(38285,5),(38286,4),(38287,1),(38288,4),(38289,2),(38290,6),(38291,3),(38292,4),(38293,2),(38294,1),(38295,7),(38296,5),(38297,5),(38298,4),(38299,5),(38300,2),(38301,9),(38302,2),(38303,8),(38304,5),(38305,2),(38306,1),(38307,5),(38308,8),(38309,5),(38310,6),(38311,7),(38312,9),(38313,7),(38314,5),(38315,5),(38316,4),(38317,8),(38318,1),(38319,6),(38320,2),(38321,5),(38322,2),(38323,2),(38324,9),(38325,9),(38326,8),(38327,5),(38328,9),(38329,7),(38330,1),(38331,9),(38332,6),(38333,3),(38334,8),(38335,9),(38336,5),(38337,3),(38338,9),(38339,3),(38340,1),(38341,5),(38342,3),(38343,4),(38344,3),(38345,6),(38346,4),(38347,5),(38348,2),(38349,2),(38350,8),(38351,6),(38352,3),(38353,6),(38354,1),(38355,6),(38356,4),(38357,6),(38358,2),(38359,9),(38360,8),(38361,9),(38362,8),(38363,1),(38364,5),(38365,1),(38366,7),(38367,8),(38368,6),(38369,6),(38370,5),(38371,9),(38372,3),(38373,1),(38374,5),(38375,8),(38376,1),(38377,7),(38378,8),(38379,4),(38380,3),(38381,8),(38382,5),(38383,1),(38384,8),(38385,9),(38386,3),(38387,4),(38388,8),(38389,9),(38390,1),(38391,8),(38392,8),(38393,6),(38394,6),(38395,6),(38396,7),(38397,3),(38398,1),(38399,7),(38400,7),(38401,3),(38402,8),(38403,4),(38404,3),(38405,9),(38406,4),(38407,2),(38408,7),(38409,4),(38410,9),(38411,5),(38412,1),(38413,9),(38414,1),(38415,2),(38416,7),(38417,1),(38418,4),(38419,2),(38420,9),(38421,7),(38422,5),(38423,5),(38424,4),(38425,7),(38426,8),(38427,3),(38428,1),(38429,6),(38430,4),(38431,2),(38432,6),(38433,3),(38434,2),(38435,1),(38436,4),(38437,1),(38438,4),(38439,9),(38440,8),(38441,1),(38442,5),(38443,5),(38444,1),(38445,6),(38446,1),(38447,9),(38448,7),(38449,1),(38450,9),(38451,4),(38452,6),(38453,3),(38454,5),(38455,2),(38456,1),(38457,9),(38458,7),(38459,1),(38460,6),(38461,8),(38462,6),(38463,4),(38464,9),(38465,9),(38466,4),(38467,2),(38468,5),(38469,3),(38470,9),(38471,1),(38472,7),(38473,7),(38474,6),(38475,3),(38476,6),(38477,2),(38478,9),(38479,6),(38480,1),(38481,4),(38482,9),(38483,5),(38484,1),(38485,9),(38486,2),(38487,5),(38488,8),(38489,7),(38490,2),(38491,8),(38492,9),(38493,7),(38494,6),(38495,7),(38496,2),(38497,3),(38498,1),(38499,7),(38500,6),(38501,3),(38502,8),(38503,4),(38504,5),(38505,7),(38506,9),(38507,1),(38508,3),(38509,3),(38510,1),(38511,7),(38512,4),(38513,5),(38514,9),(38515,2),(38516,4),(38517,6),(38518,1),(38519,7),(38520,7),(38521,9),(38522,1),(38523,8),(38524,3),(38525,8),(38526,8),(38527,3),(38528,5),(38529,5),(38530,2),(38531,8),(38532,6),(38533,2),(38534,7),(38535,1),(38536,2),(38537,2),(38538,5),(38539,9),(38540,3),(38541,5),(38542,2),(38543,6),(38544,4),(38545,4),(38546,2),(38547,5),(38548,4),(38549,3),(38550,4),(38551,7),(38552,8),(38553,6),(38554,8),(38555,6),(38556,3),(38557,5),(38558,8),(38559,7),(38560,5),(38561,3),(38562,5),(38563,2),(38564,5),(38565,1),(38566,6),(38567,1),(38568,1),(38569,1),(38570,6),(38571,3),(38572,8),(38573,2),(38574,7),(38575,3),(38576,7),(38577,6),(38578,8),(38579,5),(38580,3),(38581,6),(38582,7),(38583,6),(38584,1),(38585,4),(38586,2),(38587,2),(38588,3),(38589,2),(38590,4),(38591,9),(38592,8),(38593,8),(38594,3),(38595,3),(38596,5),(38597,2),(38598,2),(38599,4),(38600,8),(38601,8),(38602,7),(38603,9),(38604,2),(38605,9),(38606,3),(38607,1),(38608,6),(38609,4),(38610,4),(38611,3),(38612,2),(38613,4),(38614,7),(38615,5),(38616,5),(38617,2),(38618,3),(38619,3),(38620,7),(38621,4),(38622,2),(38623,4),(38624,7),(38625,3),(38626,5),(38627,1),(38628,4),(38629,8),(38630,1),(38631,1),(38632,2),(38633,4),(38634,4),(38635,3),(38636,2),(38637,6),(38638,5),(38639,9),(38640,7),(38641,7),(38642,8),(38643,4),(38644,1),(38645,7),(38646,3),(38647,9),(38648,2),(38649,5),(38650,9),(38651,7),(38652,1),(38653,5),(38654,1),(38655,7),(38656,3),(38657,6),(38658,5),(38659,4),(38660,9),(38661,6),(38662,7),(38663,2),(38664,5),(38665,8),(38666,1),(38667,1),(38668,3),(38669,6),(38670,3),(38671,8),(38672,8),(38673,9),(38674,5),(38675,1),(38676,7),(38677,4),(38678,3),(38679,9),(38680,7),(38681,1),(38682,9),(38683,5),(38684,2),(38685,4),(38686,8),(38687,3),(38688,5),(38689,4),(38690,4),(38691,6),(38692,5),(38693,2),(38694,6),(38695,6),(38696,7),(38697,7),(38698,2),(38699,7),(38700,8),(38701,4),(38702,5),(38703,7),(38704,9),(38705,6),(38706,4),(38707,8),(38708,3),(38709,6),(38710,7),(38711,4),(38712,1),(38713,1),(38714,2),(38715,9),(38716,3),(38717,3),(38718,5),(38719,1),(38720,1),(38721,8),(38722,3),(38723,8),(38724,7),(38725,6),(38726,8),(38727,3),(38728,7),(38729,9),(38730,4),(38731,8),(38732,5),(38733,8),(38734,5),(38735,3),(38736,5),(38737,2),(38738,8),(38739,9),(38740,6),(38741,6),(38742,9),(38743,7),(38744,7),(38745,2),(38746,9),(38747,2),(38748,6),(38749,6),(38750,7),(38751,6),(38752,4),(38753,5),(38754,6),(38755,3),(38756,8),(38757,8),(38758,3),(38759,2),(38760,2),(38761,4),(38762,7),(38763,8),(38764,1),(38765,7),(38766,3),(38767,5),(38768,6),(38769,4),(38770,6),(38771,5),(38772,2),(38773,7),(38774,2),(38775,9),(38776,8),(38777,8),(38778,5),(38779,8),(38780,1),(38781,9),(38782,3),(38783,6),(38784,1),(38785,9),(38786,7),(38787,9),(38788,5),(38789,3),(38790,7),(38791,6),(38792,2),(38793,6),(38794,2),(38795,5),(38796,5),(38797,5),(38798,1),(38799,8),(38800,7),(38801,4),(38802,3),(38803,3),(38804,9),(38805,6),(38806,7),(38807,7),(38808,6),(38809,9),(38810,4),(38811,5),(38812,8),(38813,1),(38814,1),(38815,7),(38816,1),(38817,6),(38818,7),(38819,4),(38820,3),(38821,1),(38822,5),(38823,2),(38824,9),(38825,2),(38826,5),(38827,9),(38828,6),(38829,4),(38830,5),(38831,7),(38832,3),(38833,3),(38834,4),(38835,6),(38836,5),(38837,6),(38838,2),(38839,7),(38840,9),(38841,6),(38842,1),(38843,8),(38844,6),(38845,9),(38846,9),(38847,6),(38848,1),(38849,1),(38850,9),(38851,5),(38852,5),(38853,1),(38854,9),(38855,1),(38856,1),(38857,2),(38858,8),(38859,5),(38860,7),(38861,2),(38862,3),(38863,4),(38864,8),(38865,7),(38866,3),(38867,7),(38868,9),(38869,7),(38870,7),(38871,7),(38872,5),(38873,2),(38874,9),(38875,2),(38876,2),(38877,2),(38878,6),(38879,1),(38880,4),(38881,9),(38882,2),(38883,1),(38884,6),(38885,6),(38886,9),(38887,7),(38888,6),(38889,9),(38890,7),(38891,6),(38892,9),(38893,6),(38894,6),(38895,8),(38896,9),(38897,4),(38898,7),(38899,8),(38900,3),(38901,8),(38902,6),(38903,4),(38904,1),(38905,5),(38906,7),(38907,9),(38908,9),(38909,6),(38910,3),(38911,1),(38912,7),(38913,8),(38914,1),(38915,7),(38916,1),(38917,9),(38918,7),(38919,2),(38920,5),(38921,8),(38922,6),(38923,4),(38924,4),(38925,9),(38926,7),(38927,7),(38928,8),(38929,3),(38930,8),(38931,3),(38932,2),(38933,2),(38934,5),(38935,1),(38936,4),(38937,1),(38938,5),(38939,4),(38940,4),(38941,2),(38942,1),(38943,9),(38944,4),(38945,7),(38946,8),(38947,6),(38948,2),(38949,3),(38950,9),(38951,5),(38952,7),(38953,5),(38954,5),(38955,8),(38956,7),(38957,5),(38958,9),(38959,7),(38960,6),(38961,1),(38962,4),(38963,1),(38964,9),(38965,3),(38966,3),(38967,3),(38968,9),(38969,6),(38970,3),(38971,4),(38972,6),(38973,8),(38974,8),(38975,2),(38976,7),(38977,2),(38978,5),(38979,3),(38980,9),(38981,8),(38982,5),(38983,8),(38984,6),(38985,6),(38986,7),(38987,2),(38988,2),(38989,4),(38990,6),(38991,3),(38992,4),(38993,1),(38994,2),(38995,3),(38996,7),(38997,9),(38998,7),(38999,2),(39000,2),(39001,7),(39002,9),(39003,3),(39004,7),(39005,9),(39006,4),(39007,4),(39008,3),(39009,5),(39010,4),(39011,7),(39012,2),(39013,1),(39014,9),(39015,1),(39016,9),(39017,8),(39018,9),(39019,6),(39020,4),(39021,1),(39022,1),(39023,1),(39024,6),(39025,9),(39026,2),(39027,4),(39028,4),(39029,4),(39030,1),(39031,9),(39032,2),(39033,8),(39034,8),(39035,5),(39036,5),(39037,7),(39038,6),(39039,2),(39040,7),(39041,8),(39042,5),(39043,6),(39044,5),(39045,1),(39046,7),(39047,7),(39048,6),(39049,1),(39050,7),(39051,2),(39052,1),(39053,3),(39054,1),(39055,8),(39056,3),(39057,3),(39058,1),(39059,7),(39060,2),(39061,6),(39062,7),(39063,3),(39064,8),(39065,2),(39066,7),(39067,4),(39068,1),(39069,5),(39070,9),(39071,2),(39072,9),(39073,8),(39074,2),(39075,7),(39076,1),(39077,7),(39078,8),(39079,2),(39080,1),(39081,7),(39082,6),(39083,4),(39084,8),(39085,9),(39086,6),(39087,6),(39088,4),(39089,2),(39090,6),(39091,3),(39092,8),(39093,7),(39094,7),(39095,8),(39096,4),(39097,6),(39098,8),(39099,4),(39100,1),(39101,8),(39102,1),(39103,1),(39104,3),(39105,8),(39106,1),(39107,1),(39108,5),(39109,8),(39110,9),(39111,5),(39112,6),(39113,7),(39114,4),(39115,7),(39116,1),(39117,1),(39118,2),(39119,6),(39120,6),(39121,1),(39122,5),(39123,2),(39124,9),(39125,7),(39126,9),(39127,1),(39128,1),(39129,8),(39130,8),(39131,8),(39132,7),(39133,6),(39134,4),(39135,2),(39136,1),(39137,6),(39138,5),(39139,1),(39140,2),(39141,6),(39142,4),(39143,8),(39144,1),(39145,6),(39146,2),(39147,7),(39148,3),(39149,7),(39150,6),(39151,9),(39152,9),(39153,6),(39154,8),(39155,4),(39156,6),(39157,5),(39158,1),(39159,3),(39160,5),(39161,1),(39162,2),(39163,7),(39164,2),(39165,1),(39166,4),(39167,5),(39168,3),(39169,1),(39170,1),(39171,3),(39172,4),(39173,7),(39174,4),(39175,7),(39176,9),(39177,8),(39178,4),(39179,7),(39180,2),(39181,1),(39182,4),(39183,8),(39184,8),(39185,6),(39186,4),(39187,8),(39188,3),(39189,7),(39190,6),(39191,9),(39192,4),(39193,2),(39194,9),(39195,9),(39196,5),(39197,6),(39198,1),(39199,2),(39200,7),(39201,6),(39202,1),(39203,1),(39204,1),(39205,9),(39206,3),(39207,8),(39208,8),(39209,8),(39210,9),(39211,8),(39212,4),(39213,2),(39214,1),(39215,3),(39216,4),(39217,9),(39218,9),(39219,9),(39220,4),(39221,8),(39222,3),(39223,1),(39224,3),(39225,4),(39226,7),(39227,1),(39228,8),(39229,9),(39230,5),(39231,1),(39232,9),(39233,4),(39234,4),(39235,8),(39236,1),(39237,4),(39238,3),(39239,3),(39240,7),(39241,7),(39242,7),(39243,2),(39244,1),(39245,7),(39246,6),(39247,4),(39248,1),(39249,8),(39250,7),(39251,4),(39252,5),(39253,7),(39254,8),(39255,8),(39256,4),(39257,5),(39258,6),(39259,2),(39260,7),(39261,5),(39262,8),(39263,3),(39264,3),(39265,9),(39266,7),(39267,9),(39268,2),(39269,2),(39270,8),(39271,5),(39272,5),(39273,5),(39274,5),(39275,8),(39276,7),(39277,1),(39278,1),(39279,6),(39280,4),(39281,8),(39282,9),(39283,5),(39284,8),(39285,8),(39286,6),(39287,6),(39288,7),(39289,6),(39290,7),(39291,2),(39292,9),(39293,1),(39294,4),(39295,8),(39296,4),(39297,3),(39298,6),(39299,8),(39300,7),(39301,6),(39302,3),(39303,4),(39304,2),(39305,2),(39306,8),(39307,9),(39308,4),(39309,4),(39310,3),(39311,6),(39312,9),(39313,7),(39314,4),(39315,6),(39316,7),(39317,3),(39318,8),(39319,6),(39320,1),(39321,2),(39322,6),(39323,5),(39324,4),(39325,4),(39326,7),(39327,2),(39328,2),(39329,7),(39330,5),(39331,4),(39332,7),(39333,8),(39334,8),(39335,2),(39336,5),(39337,6),(39338,6),(39339,4),(39340,2),(39341,9),(39342,8),(39343,5),(39344,3),(39345,2),(39346,9),(39347,7),(39348,8),(39349,6),(39350,9),(39351,5),(39352,9),(39353,4),(39354,3),(39355,3),(39356,1),(39357,8),(39358,9),(39359,1),(39360,1),(39361,9),(39362,1),(39363,8),(39364,1),(39365,6),(39366,8),(39367,1),(39368,9),(39369,5),(39370,8),(39371,5),(39372,3),(39373,3),(39374,8),(39375,4),(39376,2),(39377,6),(39378,2),(39379,1),(39380,5),(39381,9),(39382,5),(39383,1),(39384,9),(39385,9),(39386,1),(39387,2),(39388,8),(39389,6),(39390,1),(39391,8),(39392,7),(39393,8),(39394,1),(39395,3),(39396,5),(39397,4),(39398,2),(39399,9),(39400,8),(39401,6),(39402,5),(39403,1),(39404,9),(39405,7),(39406,9),(39407,9),(39408,1),(39409,5),(39410,3),(39411,1),(39412,7),(39413,5),(39414,6),(39415,8),(39416,6),(39417,5),(39418,3),(39419,3),(39420,6),(39421,5),(39422,2),(39423,1),(39424,4),(39425,7),(39426,7),(39427,1),(39428,8),(39429,1),(39430,5),(39431,3),(39432,2),(39433,1),(39434,4),(39435,4),(39436,3),(39437,4),(39438,8),(39439,2),(39440,2),(39441,5),(39442,6),(39443,5),(39444,3),(39445,6),(39446,7),(39447,2),(39448,8),(39449,8),(39450,9),(39451,2),(39452,9),(39453,4),(39454,3),(39455,7),(39456,1),(39457,8),(39458,9),(39459,2),(39460,2),(39461,5),(39462,1),(39463,4),(39464,3),(39465,3),(39466,4),(39467,8),(39468,5),(39469,5),(39470,9),(39471,4),(39472,8),(39473,3),(39474,5),(39475,2),(39476,7),(39477,2),(39478,4),(39479,5),(39480,7),(39481,6),(39482,1),(39483,8),(39484,7),(39485,5),(39486,9),(39487,7),(39488,6),(39489,6),(39490,7),(39491,6),(39492,4),(39493,4),(39494,1),(39495,5),(39496,1),(39497,2),(39498,4),(39499,6),(39500,6),(39501,1),(39502,2),(39503,9),(39504,5),(39505,2),(39506,1),(39507,7),(39508,9),(39509,9),(39510,3),(39511,3),(39512,9),(39513,7),(39514,9),(39515,3),(39516,8),(39517,1),(39518,8),(39519,8),(39520,3),(39521,7),(39522,2),(39523,5),(39524,3),(39525,1),(39526,4),(39527,3),(39528,5),(39529,8),(39530,8),(39531,3),(39532,6),(39533,3),(39534,9),(39535,1),(39536,5),(39537,4),(39538,7),(39539,3),(39540,5),(39541,4),(39542,4),(39543,8),(39544,2),(39545,5),(39546,2),(39547,1),(39548,6),(39549,7),(39550,5),(39551,6),(39552,5),(39553,9),(39554,9),(39555,6),(39556,3),(39557,4),(39558,3),(39559,7),(39560,2),(39561,5),(39562,2),(39563,9),(39564,9),(39565,9),(39566,7),(39567,5),(39568,9),(39569,3),(39570,3),(39571,2),(39572,2),(39573,4),(39574,2),(39575,3),(39576,8),(39577,8),(39578,9),(39579,7),(39580,2),(39581,3),(39582,9),(39583,7),(39584,5),(39585,4),(39586,8),(39587,3),(39588,8),(39589,4),(39590,6),(39591,8),(39592,6),(39593,2),(39594,4),(39595,4),(39596,5),(39597,9),(39598,4),(39599,5),(39600,9),(39601,5),(39602,4),(39603,9),(39604,5),(39605,5),(39606,9),(39607,1),(39608,7),(39609,6),(39610,4),(39611,2),(39612,4),(39613,3),(39614,3),(39615,8),(39616,4),(39617,1),(39618,9),(39619,4),(39620,7),(39621,8),(39622,9),(39623,7),(39624,4),(39625,2),(39626,3),(39627,6),(39628,5),(39629,9),(39630,1),(39631,9),(39632,4),(39633,5),(39634,8),(39635,7),(39636,2),(39637,6),(39638,1),(39639,1),(39640,1),(39641,4),(39642,2),(39643,9),(39644,9),(39645,9),(39646,1),(39647,8),(39648,5),(39649,2),(39650,8),(39651,9),(39652,8),(39653,5),(39654,5),(39655,6),(39656,1),(39657,1),(39658,2),(39659,3),(39660,6),(39661,7),(39662,2),(39663,1),(39664,9),(39665,9),(39666,7),(39667,3),(39668,9),(39669,1),(39670,6),(39671,2),(39672,5),(39673,2),(39674,4),(39675,4),(39676,8),(39677,2),(39678,3),(39679,1),(39680,3),(39681,2),(39682,1),(39683,7),(39684,1),(39685,9),(39686,2),(39687,4),(39688,2),(39689,5),(39690,9),(39691,7),(39692,2),(39693,5),(39694,3),(39695,6),(39696,1),(39697,4),(39698,6),(39699,5),(39700,9),(39701,2),(39702,8),(39703,5),(39704,2),(39705,9),(39706,3),(39707,2),(39708,9),(39709,5),(39710,7),(39711,3),(39712,9),(39713,1),(39714,6),(39715,2),(39716,3),(39717,5),(39718,1),(39719,6),(39720,1),(39721,6),(39722,6),(39723,1),(39724,2),(39725,7),(39726,3),(39727,6),(39728,9),(39729,1),(39730,4),(39731,9),(39732,1),(39733,8),(39734,3),(39735,8),(39736,6),(39737,3),(39738,2),(39739,9),(39740,4),(39741,1),(39742,7),(39743,7),(39744,3),(39745,2),(39746,8),(39747,8),(39748,1),(39749,4),(39750,2),(39751,1),(39752,3),(39753,3),(39754,4),(39755,4),(39756,5),(39757,6),(39758,2),(39759,5),(39760,6),(39761,4),(39762,2),(39763,5),(39764,8),(39765,7),(39766,8),(39767,9),(39768,7),(39769,5),(39770,7),(39771,5),(39772,2),(39773,6),(39774,9),(39775,9),(39776,9),(39777,2),(39778,5),(39779,7),(39780,5),(39781,4),(39782,5),(39783,6),(39784,5),(39785,4),(39786,6),(39787,2),(39788,8),(39789,5),(39790,1),(39791,3),(39792,7),(39793,2),(39794,3),(39795,5),(39796,9),(39797,5),(39798,1),(39799,7),(39800,3),(39801,9),(39802,7),(39803,9),(39804,9),(39805,5),(39806,2),(39807,1),(39808,8),(39809,9),(39810,6),(39811,8),(39812,1),(39813,8),(39814,5),(39815,5),(39816,5),(39817,7),(39818,2),(39819,2),(39820,8),(39821,5),(39822,1),(39823,5),(39824,8),(39825,1),(39826,5),(39827,2),(39828,8),(39829,7),(39830,7),(39831,4),(39832,5),(39833,9),(39834,5),(39835,4),(39836,5),(39837,4),(39838,9),(39839,4),(39840,6),(39841,3),(39842,1),(39843,7),(39844,6),(39845,7),(39846,2),(39847,3),(39848,3),(39849,7),(39850,6),(39851,1),(39852,4),(39853,4),(39854,3),(39855,8),(39856,3),(39857,6),(39858,2),(39859,7),(39860,6),(39861,9),(39862,8),(39863,7),(39864,6),(39865,5),(39866,6),(39867,4),(39868,5),(39869,4),(39870,9),(39871,2),(39872,9),(39873,9),(39874,4),(39875,7),(39876,1),(39877,8),(39878,7),(39879,4),(39880,4),(39881,7),(39882,1),(39883,1),(39884,8),(39885,4),(39886,2),(39887,9),(39888,5),(39889,4),(39890,5),(39891,2),(39892,2),(39893,3),(39894,1),(39895,7),(39896,5),(39897,4),(39898,6),(39899,4),(39900,4),(39901,8),(39902,1),(39903,8),(39904,9),(39905,7),(39906,6),(39907,6),(39908,5),(39909,7),(39910,2),(39911,8),(39912,7),(39913,4),(39914,2),(39915,1),(39916,3),(39917,6),(39918,3),(39919,5),(39920,2),(39921,2),(39922,1),(39923,9),(39924,7),(39925,2),(39926,1),(39927,4),(39928,9),(39929,4),(39930,2),(39931,9),(39932,3),(39933,4),(39934,3),(39935,4),(39936,4),(39937,9),(39938,9),(39939,7),(39940,9),(39941,5),(39942,7),(39943,7),(39944,9),(39945,5),(39946,2),(39947,9),(39948,6),(39949,6),(39950,1),(39951,5),(39952,5),(39953,4),(39954,3),(39955,4),(39956,9),(39957,6),(39958,7),(39959,3),(39960,6),(39961,8),(39962,8),(39963,7),(39964,8),(39965,1),(39966,2),(39967,3),(39968,8),(39969,9),(39970,7),(39971,1),(39972,3),(39973,1),(39974,2),(39975,8),(39976,7),(39977,6),(39978,2),(39979,1),(39980,4),(39981,2),(39982,8),(39983,3),(39984,9),(39985,1),(39986,2),(39987,3),(39988,7),(39989,5),(39990,7),(39991,5),(39992,5),(39993,3),(39994,3),(39995,8),(39996,6),(39997,9),(39998,2),(39999,7),(40000,9),(40001,3),(40002,6),(40003,8),(40004,8),(40005,2),(40006,8),(40007,9),(40008,2),(40009,2),(40010,8),(40011,6),(40012,6),(40013,6),(40014,8),(40015,9),(40016,4),(40017,8),(40018,8),(40019,9),(40020,5),(40021,9),(40022,4),(40023,5),(40024,8),(40025,7),(40026,2),(40027,2),(40028,5),(40029,7),(40030,5),(40031,5),(40032,8),(40033,4),(40034,3),(40035,4),(40036,3),(40037,5),(40038,4),(40039,8),(40040,6),(40041,4),(40042,9),(40043,1),(40044,8),(40045,4),(40046,3),(40047,8),(40048,8),(40049,8),(40050,4),(40051,6),(40052,3),(40053,4),(40054,8),(40055,7),(40056,5),(40057,9),(40058,2),(40059,3),(40060,2),(40061,9),(40062,7),(40063,3),(40064,9),(40065,7),(40066,9),(40067,4),(40068,2),(40069,7),(40070,7),(40071,2),(40072,3),(40073,1),(40074,2),(40075,7),(40076,5),(40077,9),(40078,9),(40079,9),(40080,5),(40081,5),(40082,8),(40083,9),(40084,3),(40085,6),(40086,7),(40087,7),(40088,2),(40089,3),(40090,5),(40091,6),(40092,4),(40093,5),(40094,5),(40095,5),(40096,2),(40097,9),(40098,6),(40099,9),(40100,4),(40101,8),(40102,9),(40103,1),(40104,8),(40105,8),(40106,6),(40107,6),(40108,6),(40109,3),(40110,2),(40111,9),(40112,7),(40113,3),(40114,1),(40115,4),(40116,4),(40117,9),(40118,2),(40119,5),(40120,1),(40121,8),(40122,5),(40123,2),(40124,3),(40125,6),(40126,5),(40127,9),(40128,8),(40129,4),(40130,9),(40131,9),(40132,8),(40133,6),(40134,4),(40135,2),(40136,5),(40137,4),(40138,4),(40139,4),(40140,4),(40141,2),(40142,1),(40143,9),(40144,3),(40145,3),(40146,2),(40147,9),(40148,9),(40149,2),(40150,9),(40151,9),(40152,2),(40153,2),(40154,2),(40155,5),(40156,2),(40157,5),(40158,9),(40159,6),(40160,1),(40161,6),(40162,4),(40163,9),(40164,7),(40165,2),(40166,8),(40167,2),(40168,9),(40169,7),(40170,4),(40171,1),(40172,2),(40173,8),(40174,6),(40175,2),(40176,5),(40177,9),(40178,8),(40179,5),(40180,1),(40181,5),(40182,2),(40183,4),(40184,4),(40185,9),(40186,8),(40187,5),(40188,9),(40189,6),(40190,6),(40191,4),(40192,2),(40193,1),(40194,6),(40195,5),(40196,8),(40197,8),(40198,7),(40199,7),(40200,4),(40201,4),(40202,9),(40203,3),(40204,8),(40205,1),(40206,8),(40207,8),(40208,9),(40209,2),(40210,9),(40211,1),(40212,5),(40213,4),(40214,4),(40215,5),(40216,8),(40217,7),(40218,7),(40219,1),(40220,8),(40221,7),(40222,9),(40223,6),(40224,6),(40225,1),(40226,9),(40227,1),(40228,2),(40229,9),(40230,1),(40231,7),(40232,9),(40233,8),(40234,2),(40235,9),(40236,6),(40237,5),(40238,6),(40239,3),(40240,1),(40241,9),(40242,8),(40243,7),(40244,2),(40245,7),(40246,2),(40247,4),(40248,4),(40249,4),(40250,2),(40251,6),(40252,1),(40253,8),(40254,8),(40255,4),(40256,7),(40257,4),(40258,4),(40259,2),(40260,3),(40261,1),(40262,9),(40263,9),(40264,8),(40265,5),(40266,4),(40267,5),(40268,5),(40269,1),(40270,7),(40271,4),(40272,6),(40273,7),(40274,7),(40275,8),(40276,7),(40277,4),(40278,5),(40279,1),(40280,9),(40281,7),(40282,1),(40283,7),(40284,1),(40285,1),(40286,8),(40287,6),(40288,3),(40289,1),(40290,4),(40291,6),(40292,1),(40293,4),(40294,1),(40295,2),(40296,9),(40297,6),(40298,9),(40299,7),(40300,8),(40301,6),(40302,3),(40303,5),(40304,8),(40305,2),(40306,8),(40307,5),(40308,8),(40309,2),(40310,7),(40311,5),(40312,3),(40313,1),(40314,8),(40315,5),(40316,3),(40317,7),(40318,2),(40319,1),(40320,2),(40321,8),(40322,3),(40323,2),(40324,7),(40325,4),(40326,2),(40327,4),(40328,8),(40329,8),(40330,9),(40331,6),(40332,4),(40333,6),(40334,3),(40335,1),(40336,9),(40337,6),(40338,3),(40339,3),(40340,5),(40341,5),(40342,6),(40343,9),(40344,4),(40345,6),(40346,9),(40347,6),(40348,1),(40349,9),(40350,2),(40351,8),(40352,9),(40353,7),(40354,9),(40355,5),(40356,3),(40357,1),(40358,9),(40359,8),(40360,5),(40361,7),(40362,7),(40363,9),(40364,8),(40365,9),(40366,5),(40367,2),(40368,6),(40369,8),(40370,2),(40371,1),(40372,2),(40373,9),(40374,1),(40375,8),(40376,4),(40377,3),(40378,2),(40379,1),(40380,2),(40381,3),(40382,6),(40383,4),(40384,5),(40385,8),(40386,5),(40387,7),(40388,4),(40389,2),(40390,8),(40391,6),(40392,3),(40393,1),(40394,7),(40395,9),(40396,6),(40397,5),(40398,1),(40399,3),(40400,3),(40401,1),(40402,3),(40403,9),(40404,4),(40405,1),(40406,3),(40407,2),(40408,8),(40409,6),(40410,9),(40411,6),(40412,3),(40413,8),(40414,7),(40415,8),(40416,5),(40417,9),(40418,2),(40419,7),(40420,6),(40421,1),(40422,2),(40423,9),(40424,3),(40425,7),(40426,6),(40427,6),(40428,3),(40429,8),(40430,6),(40431,2),(40432,6),(40433,4),(40434,3),(40435,3),(40436,2),(40437,8),(40438,5),(40439,8),(40440,6),(40441,8),(40442,6),(40443,6),(40444,2),(40445,6),(40446,5),(40447,4),(40448,9),(40449,4),(40450,3),(40451,4),(40452,9),(40453,1),(40454,9),(40455,5),(40456,7),(40457,1),(40458,4),(40459,6),(40460,7),(40461,1),(40462,3),(40463,5),(40464,9),(40465,6),(40466,7),(40467,4),(40468,9),(40469,1),(40470,5),(40471,5),(40472,5),(40473,5),(40474,4),(40475,3),(40476,2),(40477,8),(40478,3),(40479,8),(40480,6),(40481,7),(40482,1),(40483,2),(40484,4),(40485,4),(40486,1),(40487,5),(40488,3),(40489,4),(40490,9),(40491,9),(40492,6),(40493,3),(40494,4),(40495,3),(40496,3),(40497,6),(40498,2),(40499,1),(40500,7),(40501,6),(40502,7),(40503,7),(40504,4),(40505,9),(40506,5),(40507,1),(40508,8),(40509,6),(40510,1),(40511,4),(40512,7),(40513,6),(40514,1),(40515,5),(40516,4),(40517,5),(40518,3),(40519,6),(40520,8),(40521,6),(40522,3),(40523,4),(40524,7),(40525,7),(40526,3),(40527,6),(40528,9),(40529,3),(40530,7),(40531,9),(40532,9),(40533,8),(40534,6),(40535,1),(40536,9),(40537,3),(40538,3),(40539,4),(40540,6),(40541,6),(40542,2),(40543,2),(40544,6),(40545,3),(40546,1),(40547,2),(40548,1),(40549,3),(40550,9),(40551,3),(40552,7),(40553,2),(40554,3),(40555,1),(40556,5),(40557,5),(40558,3),(40559,1),(40560,4),(40561,4),(40562,9),(40563,2),(40564,5),(40565,5),(40566,7),(40567,6),(40568,8),(40569,9),(40570,4),(40571,9),(40572,8),(40573,9),(40574,9),(40575,5),(40576,6),(40577,6),(40578,1),(40579,8),(40580,1),(40581,4),(40582,5),(40583,5),(40584,3),(40585,9),(40586,7),(40587,8),(40588,9),(40589,6),(40590,5),(40591,8),(40592,3),(40593,5),(40594,5),(40595,8),(40596,8),(40597,7),(40598,8),(40599,7),(40600,8),(40601,1),(40602,7),(40603,8),(40604,4),(40605,1),(40606,9),(40607,2),(40608,5),(40609,5),(40610,7),(40611,1),(40612,1),(40613,2),(40614,2),(40615,6),(40616,8),(40617,3),(40618,8),(40619,9),(40620,7),(40621,3),(40622,4),(40623,4),(40624,3),(40625,9),(40626,5),(40627,5),(40628,1),(40629,5),(40630,7),(40631,9),(40632,4),(40633,9),(40634,3),(40635,5),(40636,1),(40637,6),(40638,2),(40639,6),(40640,8),(40641,7),(40642,6),(40643,4),(40644,3),(40645,6),(40646,1),(40647,3),(40648,1),(40649,4),(40650,9),(40651,9),(40652,4),(40653,2),(40654,6),(40655,9),(40656,3),(40657,5),(40658,2),(40659,6),(40660,7),(40661,7),(40662,9),(40663,9),(40664,9),(40665,4),(40666,1),(40667,4),(40668,9),(40669,2),(40670,7),(40671,9),(40672,4),(40673,2),(40674,5),(40675,9),(40676,9),(40677,2),(40678,7),(40679,3),(40680,3),(40681,1),(40682,1),(40683,8),(40684,5),(40685,2),(40686,9),(40687,9),(40688,5),(40689,2),(40690,3),(40691,2),(40692,4),(40693,5),(40694,1),(40695,2),(40696,9),(40697,6),(40698,4),(40699,8),(40700,1),(40701,7),(40702,4),(40703,4),(40704,9),(40705,8),(40706,8),(40707,5),(40708,1),(40709,2),(40710,1),(40711,4),(40712,1),(40713,8),(40714,6),(40715,3),(40716,3),(40717,3),(40718,1),(40719,3),(40720,8),(40721,4),(40722,7),(40723,1),(40724,1),(40725,5),(40726,3),(40727,2),(40728,2),(40729,5),(40730,7),(40731,7),(40732,1),(40733,6),(40734,7),(40735,7),(40736,7),(40737,1),(40738,5),(40739,8),(40740,2),(40741,1),(40742,2),(40743,6),(40744,8),(40745,7),(40746,1),(40747,8),(40748,5),(40749,3),(40750,2),(40751,3),(40752,8),(40753,1),(40754,1),(40755,1),(40756,8),(40757,2),(40758,8),(40759,2),(40760,9),(40761,7),(40762,1),(40763,1),(40764,5),(40765,7),(40766,8),(40767,2),(40768,4),(40769,1),(40770,7),(40771,2),(40772,6),(40773,3),(40774,6),(40775,5),(40776,8),(40777,7),(40778,9),(40779,2),(40780,1),(40781,9),(40782,6),(40783,7),(40784,7),(40785,8),(40786,1),(40787,2),(40788,6),(40789,9),(40790,1),(40791,1),(40792,9),(40793,4),(40794,2),(40795,2),(40796,1),(40797,3),(40798,1),(40799,5),(40800,7),(40801,1),(40802,4),(40803,6),(40804,2),(40805,1),(40806,3),(40807,4),(40808,6),(40809,6),(40810,4),(40811,6),(40812,7),(40813,6),(40814,5),(40815,9),(40816,4),(40817,5),(40818,1),(40819,4),(40820,9),(40821,9),(40822,2),(40823,9),(40824,1),(40825,1),(40826,4),(40827,5),(40828,4),(40829,8),(40830,3),(40831,8),(40832,8),(40833,3),(40834,7),(40835,6),(40836,3),(40837,7),(40838,4),(40839,8),(40840,7),(40841,3),(40842,1),(40843,7),(40844,3),(40845,2),(40846,1),(40847,6),(40848,7),(40849,7),(40850,5),(40851,4),(40852,1),(40853,6),(40854,5),(40855,1),(40856,9),(40857,5),(40858,4),(40859,8),(40860,3),(40861,9),(40862,9),(40863,6),(40864,4),(40865,1),(40866,3),(40867,7),(40868,8),(40869,3),(40870,8),(40871,4),(40872,5),(40873,3),(40874,2),(40875,6),(40876,3),(40877,2),(40878,1),(40879,6),(40880,1),(40881,5),(40882,2),(40883,6),(40884,2),(40885,5),(40886,2),(40887,6),(40888,9),(40889,9),(40890,2),(40891,2),(40892,4),(40893,9),(40894,5),(40895,9),(40896,8),(40897,1),(40898,4),(40899,3),(40900,5),(40901,9),(40902,1),(40903,8),(40904,9),(40905,5),(40906,2),(40907,3),(40908,5),(40909,6),(40910,9),(40911,5),(40912,9),(40913,9),(40914,7),(40915,6),(40916,9),(40917,2),(40918,4),(40919,8),(40920,1),(40921,5),(40922,7),(40923,2),(40924,2),(40925,5),(40926,6),(40927,9),(40928,5),(40929,3),(40930,4),(40931,8),(40932,4),(40933,9),(40934,1),(40935,1),(40936,7),(40937,8),(40938,3),(40939,1),(40940,9),(40941,9),(40942,2),(40943,5),(40944,5),(40945,6),(40946,4),(40947,3),(40948,5),(40949,7),(40950,8),(40951,8),(40952,6),(40953,1),(40954,9),(40955,3),(40956,7),(40957,1),(40958,7),(40959,5),(40960,6),(40961,8),(40962,9),(40963,4),(40964,4),(40965,3),(40966,6),(40967,7),(40968,2),(40969,4),(40970,3),(40971,7),(40972,5),(40973,1),(40974,4),(40975,4),(40976,2),(40977,6),(40978,4),(40979,9),(40980,7),(40981,7),(40982,3),(40983,4),(40984,3),(40985,8),(40986,2),(40987,1),(40988,2),(40989,2),(40990,4),(40991,5),(40992,6),(40993,7),(40994,8),(40995,9),(40996,1),(40997,7),(40998,6),(40999,7),(41000,8),(41001,2),(41002,9),(41003,2),(41004,9),(41005,1),(41006,8),(41007,9),(41008,9),(41009,7),(41010,8),(41011,3),(41012,2),(41013,3),(41014,7),(41015,4),(41016,4),(41017,4),(41018,3),(41019,2),(41020,7),(41021,6),(41022,3),(41023,9),(41024,4),(41025,5),(41026,7),(41027,3),(41028,2),(41029,6),(41030,8),(41031,6),(41032,7),(41033,1),(41034,3),(41035,2),(41036,4),(41037,2),(41038,1),(41039,2),(41040,7),(41041,4),(41042,9),(41043,1),(41044,4),(41045,4),(41046,4),(41047,1),(41048,2),(41049,8),(41050,9),(41051,3),(41052,8),(41053,4),(41054,2),(41055,1),(41056,8),(41057,1),(41058,5),(41059,2),(41060,4),(41061,5),(41062,6),(41063,2),(41064,7),(41065,8),(41066,9),(41067,4),(41068,2),(41069,5),(41070,4),(41071,5),(41072,2),(41073,4),(41074,2),(41075,3),(41076,4),(41077,9),(41078,5),(41079,2),(41080,1),(41081,3),(41082,9),(41083,9),(41084,4),(41085,6),(41086,9),(41087,2),(41088,9),(41089,6),(41090,9),(41091,8),(41092,9),(41093,8),(41094,8),(41095,5),(41096,2),(41097,1),(41098,8),(41099,4),(41100,7),(41101,2),(41102,3),(41103,7),(41104,6),(41105,2),(41106,3),(41107,1),(41108,5),(41109,6),(41110,6),(41111,7),(41112,7),(41113,2),(41114,7),(41115,6),(41116,8),(41117,8),(41118,7),(41119,8),(41120,1),(41121,7),(41122,1),(41123,9),(41124,5),(41125,5),(41126,9),(41127,5),(41128,9),(41129,3),(41130,7),(41131,9),(41132,8),(41133,7),(41134,3),(41135,5),(41136,5),(41137,7),(41138,7),(41139,9),(41140,7),(41141,2),(41142,8),(41143,6),(41144,6),(41145,9),(41146,4),(41147,8),(41148,5),(41149,7),(41150,8),(41151,5),(41152,6),(41153,8),(41154,5),(41155,8),(41156,8),(41157,3),(41158,1),(41159,4),(41160,5),(41161,2),(41162,1),(41163,6),(41164,6),(41165,9),(41166,6),(41167,4),(41168,3),(41169,1),(41170,5),(41171,8),(41172,1),(41173,8),(41174,7),(41175,8),(41176,4),(41177,5),(41178,9),(41179,6),(41180,3),(41181,1),(41182,1),(41183,5),(41184,8),(41185,2),(41186,4),(41187,1),(41188,9),(41189,6),(41190,2),(41191,8),(41192,9),(41193,3),(41194,9),(41195,2),(41196,9),(41197,2),(41198,7),(41199,8),(41200,3),(41201,6),(41202,4),(41203,2),(41204,3),(41205,3),(41206,2),(41207,7),(41208,7),(41209,8),(41210,9),(41211,2),(41212,4),(41213,4),(41214,8),(41215,6),(41216,6),(41217,9),(41218,6),(41219,6),(41220,1),(41221,7),(41222,4),(41223,7),(41224,7),(41225,3),(41226,9),(41227,5),(41228,2),(41229,8),(41230,7),(41231,3),(41232,4),(41233,3),(41234,6),(41235,6),(41236,9),(41237,7),(41238,9),(41239,3),(41240,3),(41241,3),(41242,4),(41243,9),(41244,1),(41245,8),(41246,8),(41247,4),(41248,8),(41249,5),(41250,8),(41251,7),(41252,9),(41253,8),(41254,7),(41255,5),(41256,8),(41257,3),(41258,7),(41259,6),(41260,7),(41261,8),(41262,9),(41263,3),(41264,2),(41265,6),(41266,2),(41267,3),(41268,7),(41269,1),(41270,7),(41271,4),(41272,3),(41273,3),(41274,5),(41275,2),(41276,1),(41277,4),(41278,9),(41279,4),(41280,9),(41281,7),(41282,2),(41283,8),(41284,1),(41285,4),(41286,3),(41287,4),(41288,8),(41289,8),(41290,9),(41291,3),(41292,9),(41293,2),(41294,3),(41295,1),(41296,3),(41297,7),(41298,5),(41299,1),(41300,4),(41301,1),(41302,6),(41303,2),(41304,6),(41305,5),(41306,3),(41307,5),(41308,3),(41309,6),(41310,6),(41311,7),(41312,3),(41313,8),(41314,5),(41315,4),(41316,3),(41317,9),(41318,7),(41319,1),(41320,9),(41321,6),(41322,8),(41323,8),(41324,7),(41325,8),(41326,1),(41327,4),(41328,9),(41329,1),(41330,8),(41331,8),(41332,2),(41333,6),(41334,7),(41335,9),(41336,2),(41337,6),(41338,7),(41339,6),(41340,5),(41341,9),(41342,9),(41343,7),(41344,5),(41345,8),(41346,9),(41347,8),(41348,2),(41349,4),(41350,1),(41351,3),(41352,8),(41353,6),(41354,9),(41355,5),(41356,1),(41357,3),(41358,8),(41359,7),(41360,5),(41361,6),(41362,5),(41363,3),(41364,8),(41365,5),(41366,7),(41367,6),(41368,2),(41369,3),(41370,5),(41371,5),(41372,7),(41373,4),(41374,9),(41375,3),(41376,3),(41377,7),(41378,2),(41379,1),(41380,8),(41381,5),(41382,3),(41383,4),(41384,1),(41385,8),(41386,2),(41387,8),(41388,3),(41389,5),(41390,9),(41391,4),(41392,3),(41393,6),(41394,9),(41395,9),(41396,6),(41397,6),(41398,7),(41399,5),(41400,2),(41401,3),(41402,6),(41403,8),(41404,3),(41405,1),(41406,2),(41407,8),(41408,2),(41409,1),(41410,5),(41411,2),(41412,3),(41413,9),(41414,9),(41415,4),(41416,4),(41417,4),(41418,5),(41419,4),(41420,8),(41421,3),(41422,9),(41423,2),(41424,6),(41425,1),(41426,7),(41427,1),(41428,8),(41429,2),(41430,1),(41431,7),(41432,3),(41433,1),(41434,2),(41435,4),(41436,9),(41437,6),(41438,4),(41439,4),(41440,5),(41441,8),(41442,3),(41443,2),(41444,3),(41445,9),(41446,7),(41447,4),(41448,2),(41449,5),(41450,5),(41451,9),(41452,9),(41453,5),(41454,7),(41455,7),(41456,6),(41457,5),(41458,9),(41459,3),(41460,7),(41461,5),(41462,6),(41463,5),(41464,3),(41465,7),(41466,8),(41467,3),(41468,7),(41469,7),(41470,3),(41471,9),(41472,9),(41473,1),(41474,2),(41475,3),(41476,3),(41477,1),(41478,7),(41479,2),(41480,7),(41481,9),(41482,3),(41483,5),(41484,6),(41485,6),(41486,1),(41487,5),(41488,8),(41489,1),(41490,7),(41491,5),(41492,4),(41493,3),(41494,9),(41495,3),(41496,6),(41497,8),(41498,3),(41499,4),(41500,2),(41501,9),(41502,7),(41503,6),(41504,7),(41505,8),(41506,7),(41507,5),(41508,1),(41509,6),(41510,3),(41511,6),(41512,1),(41513,1),(41514,1),(41515,4),(41516,9),(41517,5),(41518,2),(41519,8),(41520,7),(41521,2),(41522,8),(41523,7),(41524,2),(41525,2),(41526,5),(41527,7),(41528,6),(41529,6),(41530,3),(41531,8),(41532,8),(41533,2),(41534,2),(41535,7),(41536,7),(41537,5),(41538,3),(41539,4),(41540,9),(41541,9),(41542,4),(41543,1),(41544,3),(41545,1),(41546,3),(41547,1),(41548,6),(41549,6),(41550,5),(41551,4),(41552,7),(41553,9),(41554,1),(41555,1),(41556,6),(41557,7),(41558,5),(41559,7),(41560,6),(41561,4),(41562,9),(41563,9),(41564,1),(41565,5),(41566,2),(41567,2),(41568,9),(41569,9),(41570,8),(41571,7),(41572,6),(41573,1),(41574,6),(41575,6),(41576,8),(41577,8),(41578,2),(41579,4),(41580,1),(41581,2),(41582,2),(41583,3),(41584,5),(41585,5),(41586,7),(41587,1),(41588,2),(41589,9),(41590,2),(41591,2),(41592,7),(41593,8),(41594,2),(41595,6),(41596,5),(41597,9),(41598,3),(41599,1),(41600,2),(41601,1),(41602,6),(41603,6),(41604,8),(41605,6),(41606,6),(41607,9),(41608,7),(41609,6),(41610,6),(41611,3),(41612,2),(41613,1),(41614,8),(41615,1),(41616,3),(41617,8),(41618,4),(41619,8),(41620,7),(41621,4),(41622,2),(41623,8),(41624,6),(41625,4),(41626,5),(41627,5),(41628,4),(41629,6),(41630,1),(41631,3),(41632,4),(41633,5),(41634,3),(41635,5),(41636,9),(41637,7),(41638,5),(41639,6),(41640,5),(41641,9),(41642,5),(41643,8),(41644,1),(41645,7),(41646,1),(41647,8),(41648,9),(41649,2),(41650,4),(41651,3),(41652,2),(41653,6),(41654,5),(41655,2),(41656,2),(41657,1),(41658,3),(41659,7),(41660,8),(41661,1),(41662,7),(41663,1),(41664,4),(41665,5),(41666,1),(41667,1),(41668,1),(41669,1),(41670,6),(41671,7),(41672,8),(41673,3),(41674,9),(41675,1),(41676,8),(41677,8),(41678,9),(41679,9),(41680,3),(41681,2),(41682,1),(41683,8),(41684,9),(41685,3),(41686,2),(41687,2),(41688,8),(41689,7),(41690,1),(41691,9),(41692,8),(41693,6),(41694,4),(41695,4),(41696,5),(41697,1),(41698,6),(41699,1),(41700,4),(41701,8),(41702,4),(41703,1),(41704,5),(41705,1),(41706,6),(41707,8),(41708,4),(41709,3),(41710,1),(41711,7),(41712,1),(41713,5),(41714,3),(41715,6),(41716,9),(41717,6),(41718,3),(41719,6),(41720,1),(41721,7),(41722,6),(41723,1),(41724,2),(41725,8),(41726,1),(41727,8),(41728,2),(41729,4),(41730,8),(41731,1),(41732,8),(41733,1),(41734,4),(41735,9),(41736,8),(41737,7),(41738,9),(41739,7),(41740,7),(41741,1),(41742,6),(41743,9),(41744,6),(41745,7),(41746,2),(41747,2),(41748,7),(41749,4),(41750,8),(41751,5),(41752,9),(41753,2),(41754,4),(41755,5),(41756,5),(41757,6),(41758,4),(41759,9),(41760,6),(41761,9),(41762,1),(41763,8),(41764,5),(41765,4),(41766,5),(41767,3),(41768,7),(41769,6),(41770,8),(41771,1),(41772,9),(41773,7),(41774,2),(41775,2),(41776,4),(41777,1),(41778,1),(41779,9),(41780,7),(41781,7),(41782,5),(41783,7),(41784,9),(41785,2),(41786,8),(41787,5),(41788,5),(41789,4),(41790,5),(41791,3),(41792,6),(41793,4),(41794,3),(41795,2),(41796,1),(41797,7),(41798,8),(41799,1),(41800,3),(41801,6),(41802,5),(41803,1),(41804,5),(41805,2),(41806,6),(41807,7),(41808,8),(41809,5),(41810,6),(41811,4),(41812,5),(41813,8),(41814,2),(41815,2),(41816,6),(41817,4),(41818,8),(41819,2),(41820,7),(41821,9),(41822,4),(41823,1),(41824,4),(41825,4),(41826,2),(41827,4),(41828,3),(41829,4),(41830,9),(41831,6),(41832,3),(41833,9),(41834,7),(41835,1),(41836,4),(41837,1),(41838,6),(41839,2),(41840,1),(41841,4),(41842,2),(41843,5),(41844,7),(41845,3),(41846,7),(41847,5),(41848,4),(41849,4),(41850,1),(41851,2),(41852,5),(41853,8),(41854,2),(41855,6),(41856,3),(41857,3),(41858,2),(41859,9),(41860,2),(41861,8),(41862,5),(41863,1),(41864,4),(41865,3),(41866,8),(41867,3),(41868,7),(41869,3),(41870,4),(41871,7),(41872,8),(41873,5),(41874,7),(41875,3),(41876,1),(41877,9),(41878,5),(41879,4),(41880,7),(41881,5),(41882,1),(41883,9),(41884,4),(41885,7),(41886,7),(41887,7),(41888,1),(41889,9),(41890,8),(41891,7),(41892,8),(41893,4),(41894,5),(41895,8),(41896,8),(41897,5),(41898,9),(41899,1),(41900,6),(41901,1),(41902,6),(41903,9),(41904,5),(41905,6),(41906,4),(41907,1),(41908,8),(41909,7),(41910,1),(41911,8),(41912,9),(41913,2),(41914,4),(41915,1),(41916,2),(41917,9),(41918,3),(41919,3),(41920,3),(41921,9),(41922,1),(41923,4),(41924,4),(41925,8),(41926,3),(41927,2),(41928,3),(41929,5),(41930,7),(41931,5),(41932,5),(41933,6),(41934,6),(41935,4),(41936,2),(41937,9),(41938,3),(41939,5),(41940,7),(41941,4),(41942,5),(41943,8),(41944,4),(41945,8),(41946,5),(41947,9),(41948,7),(41949,8),(41950,8),(41951,7),(41952,7),(41953,4),(41954,5),(41955,9),(41956,8),(41957,2),(41958,3),(41959,7),(41960,4),(41961,6),(41962,8),(41963,8),(41964,5),(41965,5),(41966,6),(41967,6),(41968,2),(41969,2),(41970,7),(41971,7),(41972,1),(41973,1),(41974,8),(41975,7),(41976,1),(41977,5),(41978,6),(41979,5),(41980,4),(41981,5),(41982,9),(41983,9),(41984,5),(41985,7),(41986,5),(41987,6),(41988,9),(41989,9),(41990,6),(41991,6),(41992,9),(41993,7),(41994,6),(41995,8),(41996,2),(41997,6),(41998,1),(41999,1),(42000,6),(42001,3),(42002,7),(42003,6),(42004,4),(42005,2),(42006,5),(42007,7),(42008,5),(42009,7),(42010,1),(42011,3),(42012,1),(42013,7),(42014,8),(42015,2),(42016,9),(42017,9),(42018,2),(42019,7),(42020,6),(42021,2),(42022,4),(42023,6),(42024,4),(42025,8),(42026,6),(42027,3),(42028,7),(42029,1),(42030,9),(42031,9),(42032,4),(42033,9),(42034,6),(42035,3),(42036,2),(42037,9),(42038,5),(42039,7),(42040,5),(42041,8),(42042,8),(42043,7),(42044,7),(42045,2),(42046,6),(42047,6),(42048,3),(42049,1),(42050,8),(42051,9),(42052,1),(42053,7),(42054,2),(42055,9),(42056,5),(42057,1),(42058,9),(42059,4),(42060,1),(42061,9),(42062,1),(42063,2),(42064,3),(42065,7),(42066,5),(42067,2),(42068,4),(42069,9),(42070,4),(42071,9),(42072,9),(42073,1),(42074,4),(42075,3),(42076,4),(42077,1),(42078,5),(42079,9),(42080,3),(42081,2),(42082,2),(42083,6),(42084,3),(42085,9),(42086,9),(42087,2),(42088,1),(42089,6),(42090,3),(42091,1),(42092,1),(42093,2),(42094,7),(42095,1),(42096,8),(42097,7),(42098,6),(42099,7),(42100,4),(42101,8),(42102,8),(42103,8),(42104,4),(42105,1),(42106,6),(42107,7),(42108,4),(42109,7),(42110,9),(42111,8),(42112,6),(42113,4),(42114,3),(42115,9),(42116,3),(42117,3),(42118,5),(42119,3),(42120,2),(42121,4),(42122,5),(42123,3),(42124,3),(42125,5),(42126,4),(42127,5),(42128,5),(42129,9),(42130,9),(42131,3),(42132,2),(42133,1),(42134,5),(42135,3),(42136,4),(42137,3),(42138,6),(42139,6),(42140,6),(42141,1),(42142,8),(42143,5),(42144,4),(42145,8),(42146,2),(42147,2),(42148,4),(42149,5),(42150,1),(42151,8),(42152,6),(42153,3),(42154,3),(42155,7),(42156,5),(42157,8),(42158,1),(42159,1),(42160,4),(42161,7),(42162,5),(42163,3),(42164,7),(42165,4),(42166,7),(42167,2),(42168,7),(42169,3),(42170,6),(42171,3),(42172,5),(42173,5),(42174,4),(42175,1),(42176,9),(42177,6),(42178,3),(42179,3),(42180,7),(42181,8),(42182,7),(42183,2),(42184,4),(42185,8),(42186,3),(42187,3),(42188,2),(42189,8),(42190,9),(42191,7),(42192,2),(42193,5),(42194,1),(42195,6),(42196,8),(42197,4),(42198,7),(42199,5),(42200,1),(42201,7),(42202,6),(42203,4),(42204,9),(42205,8),(42206,1),(42207,1),(42208,7),(42209,2),(42210,5),(42211,9),(42212,3),(42213,1),(42214,4),(42215,4),(42216,1),(42217,2),(42218,3),(42219,3),(42220,6),(42221,3),(42222,1),(42223,4),(42224,5),(42225,8),(42226,4),(42227,9),(42228,2),(42229,6),(42230,6),(42231,8),(42232,3),(42233,6),(42234,7),(42235,8),(42236,1),(42237,4),(42238,6),(42239,1),(42240,1),(42241,5),(42242,5),(42243,6),(42244,2),(42245,7),(42246,7),(42247,6),(42248,6),(42249,8),(42250,8),(42251,5),(42252,4),(42253,9),(42254,3),(42255,5),(42256,3),(42257,1),(42258,8),(42259,6),(42260,9),(42261,3),(42262,4),(42263,3),(42264,7),(42265,1),(42266,6),(42267,2),(42268,2),(42269,4),(42270,7),(42271,2),(42272,5),(42273,2),(42274,9),(42275,3),(42276,7),(42277,1),(42278,8),(42279,3),(42280,4),(42281,1),(42282,3),(42283,9),(42284,9),(42285,3),(42286,3),(42287,6),(42288,6),(42289,5),(42290,9),(42291,4),(42292,8),(42293,9),(42294,6),(42295,8),(42296,6),(42297,4),(42298,1),(42299,7),(42300,7),(42301,3),(42302,4),(42303,6),(42304,9),(42305,2),(42306,1),(42307,4),(42308,9),(42309,1),(42310,8),(42311,1),(42312,9),(42313,6),(42314,6),(42315,2),(42316,3),(42317,9),(42318,2),(42319,9),(42320,2),(42321,3),(42322,3),(42323,9),(42324,6),(42325,9),(42326,1),(42327,3),(42328,5),(42329,9),(42330,6),(42331,9),(42332,8),(42333,1),(42334,8),(42335,1),(42336,6),(42337,9),(42338,6),(42339,7),(42340,1),(42341,3),(42342,2),(42343,8),(42344,7),(42345,8),(42346,8),(42347,4),(42348,1),(42349,6),(42350,7),(42351,8),(42352,7),(42353,8),(42354,8),(42355,8),(42356,9),(42357,8),(42358,5),(42359,6),(42360,2),(42361,8),(42362,4),(42363,8),(42364,9),(42365,3),(42366,2),(42367,1),(42368,3),(42369,9),(42370,9),(42371,3),(42372,2),(42373,1),(42374,3),(42375,2),(42376,2),(42377,5),(42378,9),(42379,6),(42380,2),(42381,2),(42382,5),(42383,9),(42384,9),(42385,7),(42386,4),(42387,7),(42388,8),(42389,2),(42390,8),(42391,1),(42392,9),(42393,2),(42394,6),(42395,7),(42396,6),(42397,9),(42398,7),(42399,1),(42400,9),(42401,8),(42402,2),(42403,9),(42404,7),(42405,4),(42406,5),(42407,6),(42408,9),(42409,5),(42410,6),(42411,7),(42412,1),(42413,4),(42414,3),(42415,1),(42416,1),(42417,2),(42418,5),(42419,5),(42420,5),(42421,7),(42422,6),(42423,8),(42424,1),(42425,3),(42426,9),(42427,6),(42428,7),(42429,4),(42430,5),(42431,7),(42432,5),(42433,5),(42434,7),(42435,7),(42436,8),(42437,1),(42438,4),(42439,9),(42440,4),(42441,8),(42442,5),(42443,2),(42444,9),(42445,2),(42446,9),(42447,2),(42448,7),(42449,8),(42450,4),(42451,9),(42452,9),(42453,1),(42454,9),(42455,5),(42456,1),(42457,5),(42458,4),(42459,4),(42460,3),(42461,1),(42462,1),(42463,8),(42464,7),(42465,8),(42466,6),(42467,4),(42468,1),(42469,5),(42470,7),(42471,6),(42472,3),(42473,6),(42474,2),(42475,2),(42476,7),(42477,6),(42478,7),(42479,1),(42480,8),(42481,9),(42482,7),(42483,3),(42484,5),(42485,3),(42486,5),(42487,3),(42488,4),(42489,9),(42490,9),(42491,5),(42492,8),(42493,8),(42494,5),(42495,3),(42496,5),(42497,9),(42498,6),(42499,5),(42500,2),(42501,2),(42502,2),(42503,6),(42504,9),(42505,8),(42506,5),(42507,5),(42508,3),(42509,9),(42510,2),(42511,3),(42512,8),(42513,9),(42514,3),(42515,4),(42516,5),(42517,2),(42518,8),(42519,2),(42520,5),(42521,8),(42522,1),(42523,8),(42524,8),(42525,3),(42526,3),(42527,2),(42528,3),(42529,7),(42530,9),(42531,8),(42532,7),(42533,4),(42534,5),(42535,5),(42536,4),(42537,4),(42538,3),(42539,6),(42540,1),(42541,1),(42542,6),(42543,8),(42544,5),(42545,5),(42546,9),(42547,8),(42548,2),(42549,6),(42550,7),(42551,6),(42552,7),(42553,2),(42554,2),(42555,8),(42556,5),(42557,9),(42558,7),(42559,9),(42560,5),(42561,3),(42562,4),(42563,5),(42564,4),(42565,8),(42566,1),(42567,2),(42568,1),(42569,1),(42570,7),(42571,6),(42572,3),(42573,5),(42574,7),(42575,1),(42576,1),(42577,6),(42578,7),(42579,9),(42580,5),(42581,4),(42582,9),(42583,9),(42584,4),(42585,6),(42586,4),(42587,7),(42588,5),(42589,5),(42590,7),(42591,7),(42592,1),(42593,6),(42594,7),(42595,3),(42596,7),(42597,1),(42598,1),(42599,4),(42600,1),(42601,1),(42602,7),(42603,3),(42604,5),(42605,2),(42606,8),(42607,2),(42608,5),(42609,6),(42610,5),(42611,7),(42612,4),(42613,5),(42614,4),(42615,8),(42616,8),(42617,6),(42618,6),(42619,1),(42620,7),(42621,2),(42622,4),(42623,2),(42624,7),(42625,4),(42626,1),(42627,3),(42628,3),(42629,4),(42630,1),(42631,2),(42632,6),(42633,7),(42634,3),(42635,4),(42636,1),(42637,2),(42638,6),(42639,6),(42640,4),(42641,4),(42642,4),(42643,7),(42644,4),(42645,7),(42646,2),(42647,8),(42648,9),(42649,9),(42650,5),(42651,4),(42652,6),(42653,6),(42654,3),(42655,4),(42656,4),(42657,3),(42658,4),(42659,2),(42660,7),(42661,9),(42662,3),(42663,2),(42664,6),(42665,4),(42666,1),(42667,8),(42668,4),(42669,2),(42670,3),(42671,2),(42672,1),(42673,3),(42674,1),(42675,2),(42676,1),(42677,7),(42678,1),(42679,6),(42680,2),(42681,8),(42682,9),(42683,7),(42684,5),(42685,1),(42686,2),(42687,1),(42688,9),(42689,2),(42690,4),(42691,2),(42692,1),(42693,8),(42694,4),(42695,2),(42696,1),(42697,6),(42698,7),(42699,5),(42700,7),(42701,5),(42702,1),(42703,5),(42704,1),(42705,2),(42706,9),(42707,1),(42708,6),(42709,4),(42710,7),(42711,7),(42712,9),(42713,7),(42714,6),(42715,5),(42716,3),(42717,4),(42718,2),(42719,2),(42720,6),(42721,6),(42722,7),(42723,3),(42724,7),(42725,3),(42726,4),(42727,2),(42728,1),(42729,3),(42730,8),(42731,2),(42732,2),(42733,2),(42734,8),(42735,3),(42736,5),(42737,5),(42738,5),(42739,1),(42740,1),(42741,5),(42742,6),(42743,9),(42744,4),(42745,9),(42746,5),(42747,4),(42748,3),(42749,7),(42750,4),(42751,3),(42752,2),(42753,6),(42754,3),(42755,1),(42756,1),(42757,5),(42758,6),(42759,2),(42760,4),(42761,6),(42762,4),(42763,8),(42764,2),(42765,9),(42766,9),(42767,2),(42768,5),(42769,3),(42770,3),(42771,8),(42772,1),(42773,2),(42774,2),(42775,3),(42776,5),(42777,5),(42778,7),(42779,7),(42780,1),(42781,5),(42782,5),(42783,5),(42784,2),(42785,5),(42786,2),(42787,4),(42788,2),(42789,9),(42790,8),(42791,8),(42792,8),(42793,5),(42794,2),(42795,8),(42796,3),(42797,4),(42798,2),(42799,3),(42800,2),(42801,8),(42802,7),(42803,1),(42804,1),(42805,1),(42806,2),(42807,6),(42808,7),(42809,3),(42810,6),(42811,3),(42812,7),(42813,7),(42814,5),(42815,8),(42816,2),(42817,4),(42818,4),(42819,1),(42820,5),(42821,2),(42822,5),(42823,7),(42824,1),(42825,5),(42826,5),(42827,4),(42828,6),(42829,8),(42830,1),(42831,8),(42832,4),(42833,3),(42834,2),(42835,1),(42836,4),(42837,1),(42838,6),(42839,5),(42840,8),(42841,8),(42842,4),(42843,8),(42844,8),(42845,5),(42846,3),(42847,3),(42848,9),(42849,6),(42850,6),(42851,8),(42852,1),(42853,4),(42854,3),(42855,7),(42856,6),(42857,7),(42858,6),(42859,3),(42860,2),(42861,3),(42862,9),(42863,3),(42864,9),(42865,9),(42866,8),(42867,5),(42868,6),(42869,5),(42870,2),(42871,7),(42872,4),(42873,7),(42874,5),(42875,1),(42876,7),(42877,9),(42878,9),(42879,1),(42880,5),(42881,7),(42882,9),(42883,7),(42884,2),(42885,9),(42886,5),(42887,3),(42888,7),(42889,8),(42890,2),(42891,2),(42892,9),(42893,1),(42894,2),(42895,6),(42896,3),(42897,3),(42898,5),(42899,8),(42900,2),(42901,4),(42902,4),(42903,9),(42904,6),(42905,7),(42906,4),(42907,4),(42908,4),(42909,3),(42910,6),(42911,4),(42912,8),(42913,2),(42914,9),(42915,7),(42916,7),(42917,9),(42918,3),(42919,3),(42920,2),(42921,2),(42922,8),(42923,4),(42924,9),(42925,8),(42926,6),(42927,2),(42928,4),(42929,4),(42930,4),(42931,8),(42932,7),(42933,9),(42934,1),(42935,1),(42936,9),(42937,8),(42938,6),(42939,4),(42940,6),(42941,4),(42942,2),(42943,2),(42944,2),(42945,5),(42946,9),(42947,6),(42948,5),(42949,6),(42950,2),(42951,2),(42952,6),(42953,8),(42954,6),(42955,9),(42956,9),(42957,7),(42958,6),(42959,4),(42960,5),(42961,1),(42962,9),(42963,4),(42964,4),(42965,8),(42966,2),(42967,3),(42968,9),(42969,7),(42970,5),(42971,1),(42972,4),(42973,1),(42974,7),(42975,2),(42976,9),(42977,5),(42978,8),(42979,3),(42980,4),(42981,3),(42982,6),(42983,3),(42984,9),(42985,1),(42986,9),(42987,6),(42988,1),(42989,2),(42990,8),(42991,9),(42992,6),(42993,8),(42994,2),(42995,3),(42996,7),(42997,6),(42998,4),(42999,5),(43000,2),(43001,4),(43002,3),(43003,2),(43004,8),(43005,3),(43006,9),(43007,8),(43008,8),(43009,5),(43010,1),(43011,3),(43012,1),(43013,4),(43014,6),(43015,7),(43016,5),(43017,6),(43018,5),(43019,4),(43020,6),(43021,8),(43022,6),(43023,1),(43024,4),(43025,3),(43026,3),(43027,3),(43028,5),(43029,8),(43030,3),(43031,3),(43032,5),(43033,2),(43034,3),(43035,3),(43036,2),(43037,8),(43038,3),(43039,1),(43040,3),(43041,6),(43042,5),(43043,2),(43044,3),(43045,3),(43046,1),(43047,2),(43048,9),(43049,7),(43050,5),(43051,3),(43052,9),(43053,3),(43054,7),(43055,2),(43056,7),(43057,4),(43058,6),(43059,8),(43060,6),(43061,7),(43062,1),(43063,4),(43064,9),(43065,1),(43066,3),(43067,2),(43068,9),(43069,2),(43070,8),(43071,2),(43072,6),(43073,3),(43074,4),(43075,4),(43076,1),(43077,2),(43078,8),(43079,7),(43080,9),(43081,7),(43082,2),(43083,4),(43084,8),(43085,1),(43086,6),(43087,1),(43088,5),(43089,6),(43090,6),(43091,9),(43092,9),(43093,6),(43094,8),(43095,8),(43096,4),(43097,6),(43098,3),(43099,5),(43100,7),(43101,1),(43102,8),(43103,6),(43104,6),(43105,5),(43106,8),(43107,6),(43108,7),(43109,9),(43110,2),(43111,5),(43112,8),(43113,8),(43114,8),(43115,1),(43116,9),(43117,3),(43118,7),(43119,8),(43120,7),(43121,2),(43122,4),(43123,9),(43124,7),(43125,7),(43126,5),(43127,1),(43128,6),(43129,9),(43130,3),(43131,3),(43132,3),(43133,7),(43134,7),(43135,5),(43136,7),(43137,9),(43138,3),(43139,2),(43140,2),(43141,7),(43142,7),(43143,5),(43144,5),(43145,8),(43146,6),(43147,1),(43148,8),(43149,7),(43150,8),(43151,8),(43152,4),(43153,2),(43154,2),(43155,9),(43156,6),(43157,8),(43158,1),(43159,8),(43160,6),(43161,2),(43162,9),(43163,8),(43164,9),(43165,7),(43166,4),(43167,4),(43168,4),(43169,6),(43170,5),(43171,5),(43172,3),(43173,8),(43174,1),(43175,7),(43176,4),(43177,9),(43178,8),(43179,7),(43180,2),(43181,1),(43182,2),(43183,8),(43184,4),(43185,2),(43186,9),(43187,2),(43188,9),(43189,2),(43190,7),(43191,7),(43192,6),(43193,3),(43194,3),(43195,4),(43196,1),(43197,4),(43198,7),(43199,8),(43200,6),(43201,5),(43202,2),(43203,5),(43204,3),(43205,9),(43206,6),(43207,1),(43208,4),(43209,8),(43210,7),(43211,6),(43212,5),(43213,8),(43214,2),(43215,2),(43216,4),(43217,7),(43218,2),(43219,6),(43220,1),(43221,9),(43222,8),(43223,4),(43224,6),(43225,5),(43226,4),(43227,2),(43228,6),(43229,9),(43230,8),(43231,7),(43232,9),(43233,7),(43234,6),(43235,8),(43236,9),(43237,4),(43238,1),(43239,4),(43240,4),(43241,7),(43242,1),(43243,4),(43244,9),(43245,9),(43246,2),(43247,4),(43248,1),(43249,1),(43250,4),(43251,7),(43252,1),(43253,3),(43254,7),(43255,1),(43256,2),(43257,5),(43258,8),(43259,9),(43260,9),(43261,8),(43262,5),(43263,3),(43264,9),(43265,8),(43266,9),(43267,9),(43268,6),(43269,2),(43270,4),(43271,5),(43272,8),(43273,6),(43274,5),(43275,5),(43276,8),(43277,1),(43278,8),(43279,3),(43280,7),(43281,9),(43282,1),(43283,1),(43284,3),(43285,2),(43286,2),(43287,7),(43288,8),(43289,7),(43290,3),(43291,9),(43292,6),(43293,6),(43294,7),(43295,7),(43296,1),(43297,1),(43298,6),(43299,8),(43300,9),(43301,5),(43302,3),(43303,8),(43304,5),(43305,5),(43306,5),(43307,1),(43308,5),(43309,7),(43310,1),(43311,6),(43312,8),(43313,5),(43314,2),(43315,6),(43316,2),(43317,8),(43318,8),(43319,6),(43320,3),(43321,2),(43322,8),(43323,8),(43324,6),(43325,4),(43326,5),(43327,5),(43328,6),(43329,6),(43330,5),(43331,9),(43332,6),(43333,8),(43334,3),(43335,4),(43336,9),(43337,2),(43338,9),(43339,2),(43340,5),(43341,8),(43342,7),(43343,9),(43344,1),(43345,4),(43346,2),(43347,2),(43348,2),(43349,9),(43350,6),(43351,3),(43352,6),(43353,6),(43354,3),(43355,1),(43356,4),(43357,4),(43358,2),(43359,3),(43360,8),(43361,1),(43362,9),(43363,7),(43364,4),(43365,5),(43366,8),(43367,9),(43368,3),(43369,7),(43370,3),(43371,9),(43372,5),(43373,6),(43374,3),(43375,2),(43376,3),(43377,6),(43378,2),(43379,4),(43380,3),(43381,6),(43382,6),(43383,3),(43384,6),(43385,7),(43386,5),(43387,3),(43388,7),(43389,7),(43390,5),(43391,4),(43392,9),(43393,1),(43394,4),(43395,6),(43396,3),(43397,1),(43398,8),(43399,6),(43400,1),(43401,9),(43402,8),(43403,7),(43404,2),(43405,2),(43406,4),(43407,7),(43408,2),(43409,6),(43410,8),(43411,3),(43412,3),(43413,1),(43414,9),(43415,1),(43416,1),(43417,6),(43418,8),(43419,3),(43420,5),(43421,8),(43422,6),(43423,3),(43424,3),(43425,3),(43426,3),(43427,7),(43428,5),(43429,9),(43430,8),(43431,3),(43432,2),(43433,8),(43434,8),(43435,9),(43436,7),(43437,4),(43438,4),(43439,2),(43440,7),(43441,7),(43442,8),(43443,3),(43444,3),(43445,8),(43446,9),(43447,2),(43448,6),(43449,1),(43450,2),(43451,9),(43452,3),(43453,1),(43454,6),(43455,5),(43456,7),(43457,8),(43458,1),(43459,6),(43460,8),(43461,8),(43462,6),(43463,6),(43464,6),(43465,8),(43466,3),(43467,2),(43468,1),(43469,9),(43470,1),(43471,7),(43472,6),(43473,6),(43474,7),(43475,7),(43476,5),(43477,8),(43478,5),(43479,1),(43480,7),(43481,7),(43482,5),(43483,2),(43484,6),(43485,3),(43486,6),(43487,8),(43488,1),(43489,3),(43490,3),(43491,4),(43492,2),(43493,1),(43494,4),(43495,3),(43496,7),(43497,4),(43498,8),(43499,8),(43500,8),(43501,2),(43502,5),(43503,2),(43504,4),(43505,1),(43506,5),(43507,4),(43508,9),(43509,7),(43510,4),(43511,3),(43512,1),(43513,7),(43514,4),(43515,8),(43516,5),(43517,9),(43518,1),(43519,1),(43520,5),(43521,3),(43522,3),(43523,8),(43524,1),(43525,9),(43526,8),(43527,2),(43528,1),(43529,3),(43530,3),(43531,8),(43532,5),(43533,2),(43534,8),(43535,5),(43536,3),(43537,5),(43538,3),(43539,4),(43540,6),(43541,2),(43542,7),(43543,4),(43544,4),(43545,1),(43546,4),(43547,6),(43548,2),(43549,7),(43550,9),(43551,8),(43552,3),(43553,6),(43554,5),(43555,7),(43556,5),(43557,7),(43558,7),(43559,2),(43560,8),(43561,2),(43562,9),(43563,2),(43564,2),(43565,9),(43566,3),(43567,5),(43568,5),(43569,1),(43570,5),(43571,3),(43572,9),(43573,5),(43574,3),(43575,5),(43576,5),(43577,1),(43578,1),(43579,3),(43580,3),(43581,7),(43582,2),(43583,8),(43584,1),(43585,6),(43586,9),(43587,5),(43588,3),(43589,7),(43590,6),(43591,5),(43592,7),(43593,8),(43594,6),(43595,8),(43596,2),(43597,7),(43598,5),(43599,6),(43600,4),(43601,2),(43602,1),(43603,1),(43604,4),(43605,2),(43606,5),(43607,6),(43608,4),(43609,9),(43610,8),(43611,6),(43612,3),(43613,1),(43614,3),(43615,8),(43616,2),(43617,5),(43618,3),(43619,2),(43620,3),(43621,8),(43622,1),(43623,7),(43624,5),(43625,4),(43626,6),(43627,7),(43628,8),(43629,7),(43630,2),(43631,5),(43632,7),(43633,4),(43634,5),(43635,9),(43636,3),(43637,3),(43638,3),(43639,9),(43640,1),(43641,5),(43642,4),(43643,7),(43644,7),(43645,2),(43646,5),(43647,2),(43648,7),(43649,9),(43650,5),(43651,1),(43652,8),(43653,2),(43654,1),(43655,9),(43656,6),(43657,9),(43658,9),(43659,2),(43660,3),(43661,9),(43662,9),(43663,7),(43664,4),(43665,3),(43666,1),(43667,8),(43668,3),(43669,2),(43670,2),(43671,2),(43672,3),(43673,3),(43674,1),(43675,6),(43676,4),(43677,6),(43678,8),(43679,7),(43680,5),(43681,8),(43682,3),(43683,5),(43684,6),(43685,2),(43686,6),(43687,6),(43688,6),(43689,3),(43690,4),(43691,6),(43692,5),(43693,7),(43694,3),(43695,9),(43696,2),(43697,1),(43698,7),(43699,2),(43700,6),(43701,6),(43702,6),(43703,4),(43704,2),(43705,9),(43706,1),(43707,4),(43708,1),(43709,7),(43710,7),(43711,4),(43712,1),(43713,2),(43714,4),(43715,1),(43716,1),(43717,9),(43718,2),(43719,4),(43720,3),(43721,6),(43722,1),(43723,7),(43724,6),(43725,5),(43726,4),(43727,3),(43728,2),(43729,5),(43730,1),(43731,1),(43732,3),(43733,3),(43734,1),(43735,4),(43736,8),(43737,1),(43738,8),(43739,6),(43740,6),(43741,5),(43742,2),(43743,8),(43744,2),(43745,5),(43746,4),(43747,2),(43748,9),(43749,6),(43750,9),(43751,7),(43752,4),(43753,1),(43754,3),(43755,6),(43756,4),(43757,1),(43758,1),(43759,5),(43760,1),(43761,9),(43762,7),(43763,7),(43764,1),(43765,3),(43766,2),(43767,9),(43768,6),(43769,8),(43770,1),(43771,2),(43772,5),(43773,9),(43774,5),(43775,9),(43776,8),(43777,3),(43778,8),(43779,7),(43780,5),(43781,4),(43782,3),(43783,1),(43784,6),(43785,9),(43786,1),(43787,3),(43788,5),(43789,5),(43790,6),(43791,1),(43792,4),(43793,1),(43794,4),(43795,8),(43796,6),(43797,4),(43798,5),(43799,5),(43800,9),(43801,4),(43802,3),(43803,1),(43804,2),(43805,3),(43806,5),(43807,5),(43808,6),(43809,8),(43810,1),(43811,6),(43812,8),(43813,4),(43814,7),(43815,2),(43816,4),(43817,3),(43818,6),(43819,3),(43820,8),(43821,6),(43822,8),(43823,7),(43824,3),(43825,8),(43826,2),(43827,4),(43828,2),(43829,9),(43830,5),(43831,9),(43832,3),(43833,1),(43834,6),(43835,2),(43836,4),(43837,9),(43838,4),(43839,2),(43840,1),(43841,3),(43842,1),(43843,7),(43844,5),(43845,9),(43846,4),(43847,2),(43848,1),(43849,1),(43850,2),(43851,3),(43852,3),(43853,5),(43854,6),(43855,9),(43856,8),(43857,9),(43858,9),(43859,6),(43860,7),(43861,8),(43862,3),(43863,8),(43864,3),(43865,9),(43866,4),(43867,5),(43868,4),(43869,8),(43870,7),(43871,9),(43872,3),(43873,4),(43874,7),(43875,4),(43876,8),(43877,2),(43878,6),(43879,2),(43880,8),(43881,9),(43882,6),(43883,4),(43884,2),(43885,1),(43886,9),(43887,8),(43888,9),(43889,8),(43890,5),(43891,3),(43892,3),(43893,2),(43894,4),(43895,8),(43896,3),(43897,7),(43898,6),(43899,2),(43900,7),(43901,3),(43902,8),(43903,1),(43904,1),(43905,4),(43906,1),(43907,9),(43908,5),(43909,6),(43910,1),(43911,4),(43912,8),(43913,2),(43914,7),(43915,6),(43916,1),(43917,4),(43918,1),(43919,9),(43920,6),(43921,1),(43922,5),(43923,2),(43924,2),(43925,4),(43926,6),(43927,5),(43928,9),(43929,6),(43930,8),(43931,5),(43932,6),(43933,3),(43934,5),(43935,6),(43936,9),(43937,1),(43938,3),(43939,7),(43940,3),(43941,1),(43942,6),(43943,4),(43944,3),(43945,6),(43946,3),(43947,8),(43948,3),(43949,6),(43950,7),(43951,6),(43952,2),(43953,1),(43954,6),(43955,9),(43956,8),(43957,9),(43958,3),(43959,1),(43960,4),(43961,4),(43962,6),(43963,4),(43964,7),(43965,4),(43966,3),(43967,1),(43968,2),(43969,3),(43970,4),(43971,4),(43972,8),(43973,7),(43974,7),(43975,1),(43976,5),(43977,3),(43978,2),(43979,8),(43980,9),(43981,2),(43982,1),(43983,1),(43984,4),(43985,1),(43986,1),(43987,1),(43988,9),(43989,5),(43990,6),(43991,7),(43992,4),(43993,9),(43994,1),(43995,7),(43996,1),(43997,8),(43998,2),(43999,6),(44000,3),(44001,6),(44002,6),(44003,4),(44004,5),(44005,3),(44006,7),(44007,1),(44008,1),(44009,2),(44010,8),(44011,2),(44012,3),(44013,9),(44014,4),(44015,8),(44016,5),(44017,9),(44018,4),(44019,5),(44020,8),(44021,8),(44022,6),(44023,7),(44024,8),(44025,3),(44026,5),(44027,7),(44028,6),(44029,6),(44030,6),(44031,1),(44032,6),(44033,3),(44034,3),(44035,1),(44036,6),(44037,1),(44038,4),(44039,5),(44040,6),(44041,2),(44042,5),(44043,7),(44044,4),(44045,2),(44046,6),(44047,5),(44048,5),(44049,4),(44050,1),(44051,1),(44052,3),(44053,6),(44054,2),(44055,2),(44056,8),(44057,5),(44058,1),(44059,1),(44060,9),(44061,7),(44062,9),(44063,1),(44064,2),(44065,4),(44066,9),(44067,3),(44068,6),(44069,7),(44070,2),(44071,2),(44072,4),(44073,5),(44074,3),(44075,4),(44076,8),(44077,7),(44078,4),(44079,4),(44080,7),(44081,7),(44082,8),(44083,7),(44084,9),(44085,7),(44086,5),(44087,6),(44088,8),(44089,1),(44090,3),(44091,1),(44092,6),(44093,3),(44094,4),(44095,2),(44096,8),(44097,1),(44098,6),(44099,6),(44100,4),(44101,4),(44102,7),(44103,1),(44104,1),(44105,6),(44106,4),(44107,7),(44108,3),(44109,6),(44110,7),(44111,6),(44112,6),(44113,4),(44114,2),(44115,1),(44116,8),(44117,9),(44118,6),(44119,4),(44120,3),(44121,6),(44122,9),(44123,7),(44124,2),(44125,4),(44126,7),(44127,5),(44128,3),(44129,6),(44130,9),(44131,3),(44132,5),(44133,9),(44134,6),(44135,8),(44136,7),(44137,5),(44138,6),(44139,6),(44140,8),(44141,1),(44142,3),(44143,6),(44144,3),(44145,7),(44146,8),(44147,7),(44148,6),(44149,1),(44150,8),(44151,3),(44152,3),(44153,3),(44154,6),(44155,1),(44156,1),(44157,2),(44158,3),(44159,7),(44160,8),(44161,6),(44162,5),(44163,1),(44164,7),(44165,2),(44166,1),(44167,1),(44168,2),(44169,6),(44170,8),(44171,6),(44172,3),(44173,7),(44174,9),(44175,5),(44176,1),(44177,2),(44178,1),(44179,9),(44180,6),(44181,6),(44182,8),(44183,2),(44184,2),(44185,8),(44186,7),(44187,8),(44188,1),(44189,8),(44190,7),(44191,9),(44192,4),(44193,4),(44194,9),(44195,3),(44196,1),(44197,6),(44198,4),(44199,2),(44200,1),(44201,7),(44202,6),(44203,7),(44204,3),(44205,9),(44206,4),(44207,4),(44208,6),(44209,6),(44210,7),(44211,1),(44212,3),(44213,7),(44214,9),(44215,9),(44216,6),(44217,6),(44218,9),(44219,4),(44220,7),(44221,1),(44222,3),(44223,9),(44224,2),(44225,3),(44226,3),(44227,1),(44228,4),(44229,4),(44230,8),(44231,8),(44232,1),(44233,4),(44234,2),(44235,9),(44236,7),(44237,4),(44238,5),(44239,9),(44240,4),(44241,8),(44242,5),(44243,5),(44244,4),(44245,8),(44246,7),(44247,3),(44248,7),(44249,3),(44250,1),(44251,3),(44252,2),(44253,2),(44254,7),(44255,3),(44256,2),(44257,6),(44258,8),(44259,1),(44260,9),(44261,5),(44262,4),(44263,7),(44264,1),(44265,8),(44266,9),(44267,1),(44268,2),(44269,8),(44270,3),(44271,9),(44272,1),(44273,5),(44274,6),(44275,2),(44276,6),(44277,1),(44278,3),(44279,8),(44280,8),(44281,6),(44282,2),(44283,9),(44284,2),(44285,3),(44286,4),(44287,4),(44288,3),(44289,1),(44290,7),(44291,4),(44292,4),(44293,9),(44294,5),(44295,2),(44296,3),(44297,3),(44298,8),(44299,9),(44300,3),(44301,4),(44302,2),(44303,7),(44304,2),(44305,9),(44306,3),(44307,4),(44308,9),(44309,3),(44310,8),(44311,5),(44312,8),(44313,7),(44314,2),(44315,3),(44316,2),(44317,9),(44318,5),(44319,5),(44320,3),(44321,6),(44322,8),(44323,7),(44324,2),(44325,1),(44326,9),(44327,2),(44328,8),(44329,1),(44330,9),(44331,6),(44332,1),(44333,2),(44334,3),(44335,4),(44336,5),(44337,9),(44338,4),(44339,3),(44340,1),(44341,3),(44342,7),(44343,2),(44344,7),(44345,1),(44346,7),(44347,1),(44348,6),(44349,6),(44350,5),(44351,8),(44352,7),(44353,4),(44354,3),(44355,9),(44356,6),(44357,7),(44358,2),(44359,8),(44360,6),(44361,6),(44362,4),(44363,5),(44364,7),(44365,9),(44366,9),(44367,2),(44368,5),(44369,7),(44370,1),(44371,4),(44372,3),(44373,9),(44374,4),(44375,3),(44376,5),(44377,2),(44378,4),(44379,7),(44380,3),(44381,6),(44382,9),(44383,4),(44384,3),(44385,8),(44386,5),(44387,2),(44388,4),(44389,8),(44390,1),(44391,8),(44392,4),(44393,9),(44394,9),(44395,4),(44396,6),(44397,1),(44398,1),(44399,2),(44400,1),(44401,2),(44402,7),(44403,5),(44404,9),(44405,5),(44406,5),(44407,2),(44408,5),(44409,4),(44410,4),(44411,4),(44412,7),(44413,7),(44414,6),(44415,4),(44416,2),(44417,7),(44418,2),(44419,9),(44420,1),(44421,5),(44422,7),(44423,1),(44424,8),(44425,2),(44426,2),(44427,5),(44428,5),(44429,8),(44430,9),(44431,4),(44432,4),(44433,5),(44434,1),(44435,1),(44436,6),(44437,4),(44438,4),(44439,9),(44440,1),(44441,5),(44442,2),(44443,9),(44444,6),(44445,7),(44446,1),(44447,7),(44448,7),(44449,3),(44450,8),(44451,6),(44452,3),(44453,8),(44454,9),(44455,4),(44456,6),(44457,9),(44458,4),(44459,3),(44460,6),(44461,3),(44462,2),(44463,1),(44464,9),(44465,7),(44466,1),(44467,2),(44468,7),(44469,7),(44470,4),(44471,2),(44472,8),(44473,8),(44474,1),(44475,2),(44476,2),(44477,1),(44478,6),(44479,8),(44480,7),(44481,5),(44482,3),(44483,4),(44484,6),(44485,1),(44486,9),(44487,9),(44488,2),(44489,1),(44490,6),(44491,8),(44492,2),(44493,7),(44494,3),(44495,7),(44496,7),(44497,3),(44498,2),(44499,4),(44500,3),(44501,8),(44502,9),(44503,6),(44504,6),(44505,2),(44506,1),(44507,5),(44508,2),(44509,5),(44510,6),(44511,1),(44512,4),(44513,9),(44514,3),(44515,6),(44516,1),(44517,8),(44518,9),(44519,8),(44520,4),(44521,7),(44522,2),(44523,2),(44524,2),(44525,2),(44526,7),(44527,4),(44528,9),(44529,5),(44530,5),(44531,9),(44532,9),(44533,2),(44534,1),(44535,3),(44536,4),(44537,2),(44538,9),(44539,1),(44540,6),(44541,1),(44542,9),(44543,4),(44544,5),(44545,8),(44546,4),(44547,3),(44548,2),(44549,6),(44550,5),(44551,1),(44552,3),(44553,6),(44554,6),(44555,4),(44556,1),(44557,2),(44558,8),(44559,5),(44560,8),(44561,1),(44562,5),(44563,8),(44564,1),(44565,9),(44566,1),(44567,7),(44568,9),(44569,4),(44570,3),(44571,1),(44572,7),(44573,3),(44574,4),(44575,8),(44576,4),(44577,2),(44578,8),(44579,9),(44580,8),(44581,6),(44582,1),(44583,8),(44584,3),(44585,9),(44586,9),(44587,6),(44588,4),(44589,6),(44590,6),(44591,4),(44592,1),(44593,2),(44594,5),(44595,6),(44596,3),(44597,7),(44598,6),(44599,1),(44600,8),(44601,1),(44602,4),(44603,8),(44604,7),(44605,4),(44606,3),(44607,6),(44608,4),(44609,9),(44610,9),(44611,8),(44612,3),(44613,6),(44614,9),(44615,1),(44616,2),(44617,3),(44618,8),(44619,1),(44620,2),(44621,4),(44622,8),(44623,2),(44624,4),(44625,5),(44626,3),(44627,3),(44628,5),(44629,9),(44630,7),(44631,5),(44632,7),(44633,3),(44634,7),(44635,2),(44636,6),(44637,1),(44638,9),(44639,6),(44640,3),(44641,4),(44642,5),(44643,4),(44644,8),(44645,6),(44646,6),(44647,1),(44648,4),(44649,9),(44650,7),(44651,1),(44652,1),(44653,2),(44654,7),(44655,9),(44656,5),(44657,5),(44658,5),(44659,9),(44660,9),(44661,5),(44662,2),(44663,3),(44664,4),(44665,2),(44666,7),(44667,4),(44668,2),(44669,7),(44670,9),(44671,4),(44672,1),(44673,2),(44674,2),(44675,7),(44676,3),(44677,6),(44678,6),(44679,5),(44680,6),(44681,5),(44682,7),(44683,5),(44684,6),(44685,5),(44686,2),(44687,2),(44688,8),(44689,5),(44690,3),(44691,1),(44692,6),(44693,9),(44694,9),(44695,4),(44696,4),(44697,2),(44698,5),(44699,2),(44700,1),(44701,8),(44702,5),(44703,6),(44704,1),(44705,8),(44706,8),(44707,8),(44708,8),(44709,4),(44710,5),(44711,6),(44712,3),(44713,9),(44714,3),(44715,1),(44716,2),(44717,4),(44718,3),(44719,5),(44720,4),(44721,1),(44722,1),(44723,4),(44724,8),(44725,1),(44726,6),(44727,9),(44728,1),(44729,9),(44730,6),(44731,9),(44732,2),(44733,7),(44734,6),(44735,3),(44736,7),(44737,3),(44738,7),(44739,8),(44740,5),(44741,7),(44742,3),(44743,4),(44744,4),(44745,5),(44746,6),(44747,4),(44748,4),(44749,1),(44750,1),(44751,4),(44752,1),(44753,4),(44754,3),(44755,1),(44756,6),(44757,2),(44758,8),(44759,3),(44760,8),(44761,9),(44762,3),(44763,6),(44764,7),(44765,6),(44766,5),(44767,3),(44768,6),(44769,4),(44770,2),(44771,2),(44772,5),(44773,6),(44774,6),(44775,4),(44776,4),(44777,8),(44778,7),(44779,7),(44780,1),(44781,9),(44782,1),(44783,3),(44784,7),(44785,5),(44786,2),(44787,7),(44788,6),(44789,9),(44790,4),(44791,3),(44792,9),(44793,3),(44794,5),(44795,8),(44796,2),(44797,1),(44798,8),(44799,8),(44800,8),(44801,3),(44802,9),(44803,2),(44804,3),(44805,2),(44806,7),(44807,9),(44808,8),(44809,2),(44810,8),(44811,2),(44812,1),(44813,3),(44814,2),(44815,6),(44816,8),(44817,1),(44818,2),(44819,3),(44820,8),(44821,7),(44822,2),(44823,8),(44824,3),(44825,1),(44826,4),(44827,4),(44828,8),(44829,2),(44830,7),(44831,7),(44832,6),(44833,4),(44834,8),(44835,2),(44836,6),(44837,2),(44838,3),(44839,3),(44840,5),(44841,5),(44842,3),(44843,3),(44844,9),(44845,1),(44846,1),(44847,1),(44848,6),(44849,7),(44850,8),(44851,1),(44852,1),(44853,3),(44854,2),(44855,6),(44856,3),(44857,6),(44858,5),(44859,3),(44860,1),(44861,7),(44862,2),(44863,6),(44864,5),(44865,6),(44866,7),(44867,7),(44868,5),(44869,2),(44870,9),(44871,7),(44872,9),(44873,3),(44874,2),(44875,8),(44876,9),(44877,1),(44878,4),(44879,3),(44880,7),(44881,5),(44882,2),(44883,2),(44884,5),(44885,3),(44886,3),(44887,5),(44888,5),(44889,1),(44890,1),(44891,7),(44892,3),(44893,7),(44894,7),(44895,3),(44896,7),(44897,5),(44898,5),(44899,4),(44900,6),(44901,7),(44902,5),(44903,4),(44904,3),(44905,8),(44906,2),(44907,5),(44908,9),(44909,7),(44910,7),(44911,4),(44912,6),(44913,7),(44914,8),(44915,1),(44916,6),(44917,3),(44918,1),(44919,7),(44920,2),(44921,7),(44922,6),(44923,2),(44924,4),(44925,4),(44926,6),(44927,6),(44928,2),(44929,7),(44930,1),(44931,9),(44932,9),(44933,3),(44934,2),(44935,1),(44936,3),(44937,3),(44938,1),(44939,1),(44940,8),(44941,5),(44942,6),(44943,1),(44944,3),(44945,1),(44946,8),(44947,6),(44948,3),(44949,3),(44950,7),(44951,5),(44952,7),(44953,9),(44954,1),(44955,7),(44956,5),(44957,4),(44958,1),(44959,3),(44960,7),(44961,2),(44962,5),(44963,8),(44964,1),(44965,4),(44966,3),(44967,8),(44968,7),(44969,5),(44970,4),(44971,8),(44972,1),(44973,2),(44974,9),(44975,4),(44976,6),(44977,9),(44978,6),(44979,1),(44980,6),(44981,7),(44982,2),(44983,3),(44984,5),(44985,2),(44986,9),(44987,3),(44988,3),(44989,2),(44990,2),(44991,5),(44992,5),(44993,2),(44994,4),(44995,3),(44996,7),(44997,2),(44998,4),(44999,2),(45000,6),(45001,3),(45002,9),(45003,5),(45004,4),(45005,5),(45006,4),(45007,7),(45008,7),(45009,1),(45010,8),(45011,5),(45012,5),(45013,4),(45014,2),(45015,7),(45016,1),(45017,7),(45018,9),(45019,9),(45020,7),(45021,6),(45022,3),(45023,3),(45024,8),(45025,2),(45026,9),(45027,4),(45028,9),(45029,6),(45030,5),(45031,5),(45032,5),(45033,6),(45034,1),(45035,9),(45036,8),(45037,5),(45038,3),(45039,3),(45040,4),(45041,2),(45042,7),(45043,2),(45044,7),(45045,2),(45046,1),(45047,2),(45048,4),(45049,2),(45050,6),(45051,6),(45052,3),(45053,3),(45054,9),(45055,8),(45056,9),(45057,2),(45058,8),(45059,6),(45060,2),(45061,1),(45062,9),(45063,5),(45064,7),(45065,5),(45066,9),(45067,4),(45068,5),(45069,7),(45070,7),(45071,2),(45072,2),(45073,4),(45074,3),(45075,4),(45076,9),(45077,9),(45078,3),(45079,7),(45080,2),(45081,5),(45082,7),(45083,4),(45084,1),(45085,6),(45086,2),(45087,2),(45088,8),(45089,8),(45090,5),(45091,2),(45092,4),(45093,4),(45094,7),(45095,8),(45096,1),(45097,8),(45098,8),(45099,6),(45100,7),(45101,4),(45102,3),(45103,4),(45104,2),(45105,3),(45106,3),(45107,5),(45108,9),(45109,4),(45110,2),(45111,7),(45112,2),(45113,7),(45114,9),(45115,1),(45116,4),(45117,4),(45118,8),(45119,3),(45120,2),(45121,4),(45122,8),(45123,1),(45124,4),(45125,5),(45126,5),(45127,7),(45128,6),(45129,9),(45130,4),(45131,8),(45132,2),(45133,6),(45134,2),(45135,7),(45136,2),(45137,7),(45138,6),(45139,2),(45140,5),(45141,1),(45142,6),(45143,5),(45144,9),(45145,2),(45146,8),(45147,5),(45148,7),(45149,3),(45150,8),(45151,8),(45152,7),(45153,4),(45154,4),(45155,8),(45156,2),(45157,5),(45158,8),(45159,3),(45160,1),(45161,1),(45162,2),(45163,4),(45164,6),(45165,6),(45166,4),(45167,6),(45168,7),(45169,3),(45170,6),(45171,7),(45172,8),(45173,3),(45174,2),(45175,4),(45176,9),(45177,3),(45178,2),(45179,8),(45180,4),(45181,6),(45182,5),(45183,5),(45184,2),(45185,4),(45186,3),(45187,5),(45188,8),(45189,1),(45190,8),(45191,5),(45192,1),(45193,2),(45194,4),(45195,5),(45196,9),(45197,3),(45198,2),(45199,6),(45200,9),(45201,9),(45202,6),(45203,9),(45204,1),(45205,1),(45206,5),(45207,1),(45208,2),(45209,4),(45210,2),(45211,2),(45212,1),(45213,9),(45214,7),(45215,4),(45216,5),(45217,4),(45218,6),(45219,9),(45220,5),(45221,8),(45222,1),(45223,6),(45224,4),(45225,3),(45226,6),(45227,2),(45228,8),(45229,1),(45230,3),(45231,8),(45232,6),(45233,8),(45234,5),(45235,9),(45236,3),(45237,6),(45238,4),(45239,3),(45240,2),(45241,4),(45242,1),(45243,3),(45244,7),(45245,1),(45246,6),(45247,7),(45248,1),(45249,3),(45250,6),(45251,2),(45252,3),(45253,4),(45254,6),(45255,1),(45256,1),(45257,3),(45258,7),(45259,7),(45260,7),(45261,8),(45262,2),(45263,1),(45264,9),(45265,3),(45266,5),(45267,6),(45268,1),(45269,3),(45270,2),(45271,4),(45272,5),(45273,8),(45274,8),(45275,3),(45276,5),(45277,1),(45278,5),(45279,4),(45280,6),(45281,6),(45282,2),(45283,7),(45284,3),(45285,9),(45286,9),(45287,2),(45288,1),(45289,9),(45290,1),(45291,4),(45292,5),(45293,3),(45294,5),(45295,5),(45296,8),(45297,9),(45298,6),(45299,3),(45300,6),(45301,5),(45302,7),(45303,6),(45304,9),(45305,8),(45306,5),(45307,3),(45308,4),(45309,7),(45310,8),(45311,3),(45312,2),(45313,8),(45314,1),(45315,3),(45316,8),(45317,3),(45318,1),(45319,6),(45320,3),(45321,5),(45322,5),(45323,7),(45324,3),(45325,2),(45326,5),(45327,4),(45328,4),(45329,9),(45330,8),(45331,5),(45332,3),(45333,1),(45334,8),(45335,8),(45336,8),(45337,6),(45338,5),(45339,3),(45340,1),(45341,4),(45342,3),(45343,7),(45344,7),(45345,6),(45346,7),(45347,3),(45348,4),(45349,8),(45350,6),(45351,3),(45352,2),(45353,9),(45354,4),(45355,2),(45356,4),(45357,8),(45358,6),(45359,6),(45360,7),(45361,3),(45362,1),(45363,9),(45364,2),(45365,2),(45366,5),(45367,1),(45368,7),(45369,7),(45370,6),(45371,6),(45372,6),(45373,3),(45374,8),(45375,9),(45376,4),(45377,3),(45378,1),(45379,2),(45380,4),(45381,8),(45382,9),(45383,7),(45384,2),(45385,7),(45386,6),(45387,7),(45388,3),(45389,3),(45390,4),(45391,7),(45392,4),(45393,4),(45394,5),(45395,4),(45396,9),(45397,9),(45398,4),(45399,9),(45400,1),(45401,5),(45402,1),(45403,3),(45404,1),(45405,8),(45406,9),(45407,6),(45408,8),(45409,1),(45410,3),(45411,1),(45412,1),(45413,2),(45414,3),(45415,2),(45416,6),(45417,1),(45418,6),(45419,1),(45420,1),(45421,6),(45422,5),(45423,5),(45424,3),(45425,4),(45426,2),(45427,4),(45428,2),(45429,3),(45430,4),(45431,9),(45432,1),(45433,6),(45434,3),(45435,9),(45436,4),(45437,2),(45438,8),(45439,3),(45440,5),(45441,8),(45442,5),(45443,7),(45444,5),(45445,1),(45446,6),(45447,3),(45448,2),(45449,2),(45450,8),(45451,7),(45452,6),(45453,6),(45454,2),(45455,1),(45456,6),(45457,2),(45458,4),(45459,8),(45460,6),(45461,8),(45462,6),(45463,9),(45464,3),(45465,9),(45466,1),(45467,1),(45468,1),(45469,2),(45470,8),(45471,7),(45472,8),(45473,8),(45474,6),(45475,4),(45476,5),(45477,8),(45478,3),(45479,4),(45480,2),(45481,1),(45482,7),(45483,2),(45484,1),(45485,6),(45486,7),(45487,1),(45488,6),(45489,2),(45490,7),(45491,3),(45492,3),(45493,7),(45494,7),(45495,1),(45496,2),(45497,3),(45498,2),(45499,4),(45500,8),(45501,1),(45502,1),(45503,8),(45504,6),(45505,1),(45506,5),(45507,6),(45508,4),(45509,1),(45510,9),(45511,9),(45512,9),(45513,3),(45514,1),(45515,7),(45516,2),(45517,6),(45518,2),(45519,5),(45520,5),(45521,6),(45522,7),(45523,3),(45524,9),(45525,3),(45526,7),(45527,8),(45528,4),(45529,8),(45530,4),(45531,6),(45532,1),(45533,7),(45534,2),(45535,2),(45536,1),(45537,1),(45538,8),(45539,7),(45540,3),(45541,6),(45542,8),(45543,1),(45544,2),(45545,9),(45546,1),(45547,3),(45548,1),(45549,3),(45550,3),(45551,8),(45552,7),(45553,4),(45554,3),(45555,6),(45556,7),(45557,9),(45558,7),(45559,5),(45560,1),(45561,9),(45562,7),(45563,2),(45564,4),(45565,5),(45566,8),(45567,2),(45568,2),(45569,8),(45570,8),(45571,7),(45572,2),(45573,3),(45574,4),(45575,5),(45576,1),(45577,5),(45578,5),(45579,9),(45580,1),(45581,1),(45582,3),(45583,9),(45584,8),(45585,4),(45586,5),(45587,7),(45588,3),(45589,3),(45590,9),(45591,3),(45592,2),(45593,5),(45594,2),(45595,9),(45596,6),(45597,5),(45598,6),(45599,9),(45600,9),(45601,6),(45602,6),(45603,6),(45604,1),(45605,7),(45606,4),(45607,3),(45608,5),(45609,3),(45610,7),(45611,3),(45612,3),(45613,6),(45614,8),(45615,3),(45616,7),(45617,5),(45618,2),(45619,6),(45620,1),(45621,8),(45622,4),(45623,5),(45624,7),(45625,2),(45626,2),(45627,8),(45628,3),(45629,4),(45630,9),(45631,2),(45632,9),(45633,6),(45634,5),(45635,4),(45636,7),(45637,6),(45638,7),(45639,5),(45640,6),(45641,1),(45642,6),(45643,5),(45644,3),(45645,7),(45646,7),(45647,5),(45648,7),(45649,4),(45650,6),(45651,5),(45652,5),(45653,5),(45654,7),(45655,4),(45656,5),(45657,9),(45658,2),(45659,9),(45660,5),(45661,2),(45662,2),(45663,3),(45664,1),(45665,4),(45666,8),(45667,5),(45668,8),(45669,4),(45670,1),(45671,2),(45672,5),(45673,5),(45674,2),(45675,4),(45676,2),(45677,4),(45678,8),(45679,6),(45680,9),(45681,2),(45682,6),(45683,6),(45684,2),(45685,8),(45686,8),(45687,5),(45688,6),(45689,4),(45690,2),(45691,1),(45692,1),(45693,8),(45694,4),(45695,8),(45696,8),(45697,8),(45698,6),(45699,3),(45700,9),(45701,3),(45702,8),(45703,2),(45704,6),(45705,3),(45706,4),(45707,4),(45708,8),(45709,5),(45710,8),(45711,6),(45712,3),(45713,1),(45714,5),(45715,2),(45716,2),(45717,7),(45718,3),(45719,4),(45720,6),(45721,7),(45722,8),(45723,6),(45724,1),(45725,2),(45726,1),(45727,4),(45728,8),(45729,7),(45730,2),(45731,8),(45732,1),(45733,2),(45734,6),(45735,1),(45736,8),(45737,7),(45738,7),(45739,2),(45740,5),(45741,9),(45742,8),(45743,6),(45744,5),(45745,5),(45746,6),(45747,6),(45748,1),(45749,7),(45750,8),(45751,3),(45752,9),(45753,2),(45754,9),(45755,4),(45756,3),(45757,2),(45758,7),(45759,1),(45760,3),(45761,8),(45762,4),(45763,7),(45764,2),(45765,6),(45766,8),(45767,6),(45768,4),(45769,6),(45770,3),(45771,6),(45772,6),(45773,4),(45774,4),(45775,8),(45776,5),(45777,5),(45778,7),(45779,1),(45780,2),(45781,8),(45782,7),(45783,1),(45784,9),(45785,3),(45786,8),(45787,5),(45788,7),(45789,7),(45790,2),(45791,6),(45792,7),(45793,3),(45794,7),(45795,9),(45796,5),(45797,5),(45798,7),(45799,5),(45800,6),(45801,3),(45802,5),(45803,6),(45804,6),(45805,9),(45806,2),(45807,2),(45808,6),(45809,9),(45810,6),(45811,9),(45812,7),(45813,2),(45814,8),(45815,2),(45816,3),(45817,6),(45818,3),(45819,5),(45820,6),(45821,6),(45822,9),(45823,8),(45824,3),(45825,1),(45826,7),(45827,3),(45828,5),(45829,9),(45830,2),(45831,8),(45832,6),(45833,5),(45834,5),(45835,2),(45836,5),(45837,3),(45838,2),(45839,4),(45840,3),(45841,6),(45842,6),(45843,2),(45844,9),(45845,3),(45846,5),(45847,2),(45848,7),(45849,6),(45850,7),(45851,5),(45852,8),(45853,9),(45854,5),(45855,7),(45856,3),(45857,8),(45858,1),(45859,9),(45860,5),(45861,9),(45862,1),(45863,8),(45864,9),(45865,5),(45866,4),(45867,9),(45868,3),(45869,3),(45870,5),(45871,6),(45872,4),(45873,7),(45874,8),(45875,2),(45876,3),(45877,2),(45878,3),(45879,5),(45880,9),(45881,5),(45882,7),(45883,7),(45884,4),(45885,8),(45886,5),(45887,3),(45888,4),(45889,7),(45890,2),(45891,6),(45892,2),(45893,9),(45894,5),(45895,3),(45896,5),(45897,1),(45898,6),(45899,4),(45900,1),(45901,6),(45902,8),(45903,7),(45904,9),(45905,4),(45906,1),(45907,7),(45908,8),(45909,5),(45910,7),(45911,6),(45912,6),(45913,6),(45914,7),(45915,8),(45916,6),(45917,9),(45918,3),(45919,6),(45920,4),(45921,7),(45922,7),(45923,3),(45924,5),(45925,3),(45926,7),(45927,9),(45928,3),(45929,6),(45930,7),(45931,8),(45932,7),(45933,9),(45934,5),(45935,6),(45936,3),(45937,6),(45938,5),(45939,6),(45940,8),(45941,5),(45942,9),(45943,8),(45944,8),(45945,2),(45946,3),(45947,1),(45948,4),(45949,5),(45950,2),(45951,4),(45952,5),(45953,7),(45954,1),(45955,5),(45956,5),(45957,6),(45958,6),(45959,2),(45960,1),(45961,4),(45962,1),(45963,7),(45964,9),(45965,7),(45966,3),(45967,5),(45968,6),(45969,4),(45970,5),(45971,9),(45972,7),(45973,2),(45974,5),(45975,5),(45976,7),(45977,6),(45978,8),(45979,6),(45980,2),(45981,4),(45982,9),(45983,1),(45984,1),(45985,7),(45986,4),(45987,3),(45988,1),(45989,2),(45990,9),(45991,6),(45992,4),(45993,5),(45994,5),(45995,8),(45996,6),(45997,7),(45998,7),(45999,1),(46000,5),(46001,3),(46002,8),(46003,7),(46004,9),(46005,1),(46006,4),(46007,7),(46008,9),(46009,7),(46010,1),(46011,4),(46012,6),(46013,1),(46014,3),(46015,8),(46016,6),(46017,1),(46018,8),(46019,4),(46020,4),(46021,3),(46022,3),(46023,2),(46024,7),(46025,9),(46026,6),(46027,7),(46028,6),(46029,9),(46030,7),(46031,7),(46032,5),(46033,7),(46034,4),(46035,8),(46036,1),(46037,9),(46038,2),(46039,5),(46040,9),(46041,9),(46042,8),(46043,6),(46044,7),(46045,8),(46046,9),(46047,9),(46048,6),(46049,7),(46050,6),(46051,5),(46052,7),(46053,9),(46054,8),(46055,4),(46056,3),(46057,2),(46058,2),(46059,7),(46060,5),(46061,2),(46062,9),(46063,6),(46064,6),(46065,7),(46066,4),(46067,3),(46068,5),(46069,3),(46070,4),(46071,8),(46072,4),(46073,2),(46074,7),(46075,8),(46076,4),(46077,1),(46078,6),(46079,2),(46080,5),(46081,5),(46082,3),(46083,2),(46084,9),(46085,9),(46086,8),(46087,3),(46088,7),(46089,9),(46090,7),(46091,3),(46092,3),(46093,2),(46094,3),(46095,8),(46096,2),(46097,2),(46098,3),(46099,1),(46100,7),(46101,2),(46102,3),(46103,9),(46104,1),(46105,3),(46106,5),(46107,7),(46108,4),(46109,5),(46110,7),(46111,7),(46112,2),(46113,1),(46114,6),(46115,4),(46116,1),(46117,4),(46118,2),(46119,2),(46120,5),(46121,7),(46122,8),(46123,7),(46124,6),(46125,5),(46126,8),(46127,8),(46128,1),(46129,5),(46130,6),(46131,4),(46132,1),(46133,5),(46134,3),(46135,7),(46136,9),(46137,9),(46138,6),(46139,3),(46140,1),(46141,4),(46142,1),(46143,8),(46144,7),(46145,1),(46146,6),(46147,9),(46148,3),(46149,3),(46150,8),(46151,6),(46152,5),(46153,5),(46154,3),(46155,6),(46156,8),(46157,1),(46158,1),(46159,1),(46160,1),(46161,2),(46162,9),(46163,5),(46164,8),(46165,4),(46166,3),(46167,7),(46168,9),(46169,6),(46170,1),(46171,9),(46172,1),(46173,5),(46174,6),(46175,6),(46176,2),(46177,9),(46178,6),(46179,9),(46180,7),(46181,8),(46182,3),(46183,7),(46184,3),(46185,3),(46186,3),(46187,8),(46188,2),(46189,7),(46190,7),(46191,5),(46192,4),(46193,7),(46194,9),(46195,9),(46196,4),(46197,3),(46198,2),(46199,3),(46200,8),(46201,2),(46202,4),(46203,7),(46204,4),(46205,5),(46206,2),(46207,6),(46208,2),(46209,8),(46210,2),(46211,3),(46212,8),(46213,7),(46214,5),(46215,5),(46216,5),(46217,5),(46218,4),(46219,7),(46220,5),(46221,9),(46222,2),(46223,8),(46224,3),(46225,7),(46226,3),(46227,3),(46228,4),(46229,1),(46230,1),(46231,8),(46232,1),(46233,6),(46234,8),(46235,7),(46236,4),(46237,9),(46238,9),(46239,4),(46240,8),(46241,7),(46242,3),(46243,9),(46244,8),(46245,1),(46246,7),(46247,8),(46248,3),(46249,2),(46250,9),(46251,5),(46252,8),(46253,9),(46254,4),(46255,7),(46256,6),(46257,4),(46258,3),(46259,5),(46260,4),(46261,1),(46262,7),(46263,7),(46264,7),(46265,5),(46266,9),(46267,8),(46268,3),(46269,3),(46270,2),(46271,1),(46272,4),(46273,9),(46274,5),(46275,2),(46276,2),(46277,1),(46278,8),(46279,7),(46280,4),(46281,3),(46282,3),(46283,7),(46284,8),(46285,4),(46286,4),(46287,6),(46288,3),(46289,3),(46290,2),(46291,2),(46292,5),(46293,5),(46294,7),(46295,1),(46296,1),(46297,7),(46298,8),(46299,9),(46300,9),(46301,2),(46302,3),(46303,9),(46304,6),(46305,6),(46306,5),(46307,2),(46308,1),(46309,9),(46310,2),(46311,2),(46312,1),(46313,7),(46314,5),(46315,3),(46316,2),(46317,5),(46318,3),(46319,6),(46320,2),(46321,6),(46322,7),(46323,6),(46324,7),(46325,7),(46326,2),(46327,8),(46328,8),(46329,2),(46330,9),(46331,2),(46332,9),(46333,2),(46334,7),(46335,9),(46336,2),(46337,1),(46338,3),(46339,6),(46340,6),(46341,7),(46342,6),(46343,3),(46344,8),(46345,6),(46346,7),(46347,5),(46348,2),(46349,9),(46350,3),(46351,9),(46352,3),(46353,7),(46354,4),(46355,6),(46356,4),(46357,9),(46358,6),(46359,3),(46360,7),(46361,9),(46362,8),(46363,3),(46364,7),(46365,8),(46366,4),(46367,5),(46368,1),(46369,3),(46370,3),(46371,9),(46372,3),(46373,4),(46374,7),(46375,2),(46376,4),(46377,9),(46378,9),(46379,8),(46380,9),(46381,8),(46382,4),(46383,1),(46384,9),(46385,6),(46386,4),(46387,8),(46388,6),(46389,6),(46390,4),(46391,6),(46392,2),(46393,6),(46394,6),(46395,4),(46396,2),(46397,8),(46398,8),(46399,5),(46400,4),(46401,7),(46402,5),(46403,8),(46404,6),(46405,4),(46406,1),(46407,6),(46408,8),(46409,5),(46410,2),(46411,4),(46412,3),(46413,3),(46414,6),(46415,2),(46416,9),(46417,2),(46418,6),(46419,5),(46420,9),(46421,3),(46422,6),(46423,6),(46424,9),(46425,4),(46426,9),(46427,6),(46428,9),(46429,1),(46430,1),(46431,3),(46432,1),(46433,4),(46434,3),(46435,2),(46436,5),(46437,2),(46438,6),(46439,9),(46440,2),(46441,2),(46442,7),(46443,1),(46444,4),(46445,4),(46446,7),(46447,6),(46448,7),(46449,8),(46450,7),(46451,6),(46452,5),(46453,7),(46454,4),(46455,5),(46456,4),(46457,7),(46458,8),(46459,5),(46460,9),(46461,6),(46462,2),(46463,9),(46464,7),(46465,5),(46466,2),(46467,9),(46468,7),(46469,7),(46470,2),(46471,8),(46472,7),(46473,5),(46474,2),(46475,6),(46476,9),(46477,5),(46478,4),(46479,7),(46480,7),(46481,1),(46482,1),(46483,4),(46484,1),(46485,6),(46486,8),(46487,8),(46488,4),(46489,8),(46490,6),(46491,5),(46492,7),(46493,5),(46494,7),(46495,4),(46496,5),(46497,6),(46498,5),(46499,6),(46500,9),(46501,8),(46502,5),(46503,4),(46504,3),(46505,3),(46506,5),(46507,5),(46508,3),(46509,1),(46510,1),(46511,3),(46512,9),(46513,7),(46514,8),(46515,8),(46516,2),(46517,4),(46518,1),(46519,4),(46520,7),(46521,3),(46522,5),(46523,2),(46524,5),(46525,4),(46526,9),(46527,1),(46528,8),(46529,8),(46530,8),(46531,9),(46532,6),(46533,3),(46534,9),(46535,8),(46536,3),(46537,4),(46538,1),(46539,2),(46540,3),(46541,4),(46542,1),(46543,1),(46544,2),(46545,7),(46546,5),(46547,8),(46548,3),(46549,6),(46550,7),(46551,6),(46552,7),(46553,2),(46554,6),(46555,6),(46556,6),(46557,9),(46558,9),(46559,3),(46560,3),(46561,6),(46562,6),(46563,6),(46564,2),(46565,6),(46566,2),(46567,8),(46568,7),(46569,9),(46570,4),(46571,8),(46572,7),(46573,6),(46574,1),(46575,8),(46576,7),(46577,8),(46578,3),(46579,2),(46580,2),(46581,2),(46582,3),(46583,3),(46584,2),(46585,2),(46586,2),(46587,6),(46588,8),(46589,6),(46590,8),(46591,6),(46592,7),(46593,6),(46594,3),(46595,9),(46596,8),(46597,5),(46598,9),(46599,5),(46600,6),(46601,3),(46602,5),(46603,4),(46604,8),(46605,5),(46606,2),(46607,8),(46608,6),(46609,4),(46610,4),(46611,7),(46612,1),(46613,9),(46614,5),(46615,2),(46616,6),(46617,8),(46618,7),(46619,1),(46620,3),(46621,6),(46622,3),(46623,9),(46624,8),(46625,5),(46626,7),(46627,4),(46628,3),(46629,4),(46630,3),(46631,7),(46632,8),(46633,1),(46634,2),(46635,4),(46636,3),(46637,6),(46638,8),(46639,6),(46640,4),(46641,3),(46642,2),(46643,7),(46644,7),(46645,8),(46646,6),(46647,2),(46648,8),(46649,8),(46650,5),(46651,2),(46652,5),(46653,4),(46654,9),(46655,5),(46656,7),(46657,2),(46658,8),(46659,6),(46660,9),(46661,6),(46662,8),(46663,7),(46664,9),(46665,6),(46666,1),(46667,9),(46668,3),(46669,3),(46670,5),(46671,5),(46672,9),(46673,3),(46674,1),(46675,9),(46676,3),(46677,7),(46678,5),(46679,7),(46680,6),(46681,1),(46682,8),(46683,7),(46684,4),(46685,1),(46686,2),(46687,2),(46688,3),(46689,5),(46690,4),(46691,8),(46692,3),(46693,5),(46694,4),(46695,9),(46696,9),(46697,1),(46698,9),(46699,6),(46700,8),(46701,5),(46702,1),(46703,1),(46704,2),(46705,2),(46706,1),(46707,7),(46708,3),(46709,8),(46710,8),(46711,5),(46712,5),(46713,1),(46714,6),(46715,7),(46716,7),(46717,3),(46718,7),(46719,3),(46720,4),(46721,7),(46722,5),(46723,5),(46724,6),(46725,9),(46726,9),(46727,7),(46728,5),(46729,7),(46730,2),(46731,5),(46732,9),(46733,1),(46734,3),(46735,9),(46736,7),(46737,7),(46738,3),(46739,7),(46740,7),(46741,5),(46742,3),(46743,6),(46744,6),(46745,7),(46746,6),(46747,5),(46748,1),(46749,9),(46750,3),(46751,5),(46752,7),(46753,7),(46754,9),(46755,8),(46756,5),(46757,3),(46758,8),(46759,9),(46760,3),(46761,9),(46762,2),(46763,5),(46764,5),(46765,9),(46766,9),(46767,9),(46768,8),(46769,1),(46770,4),(46771,5),(46772,9),(46773,7),(46774,5),(46775,8),(46776,7),(46777,6),(46778,7),(46779,1),(46780,6),(46781,5),(46782,6),(46783,7),(46784,2),(46785,5),(46786,2),(46787,2),(46788,8),(46789,8),(46790,7),(46791,9),(46792,3),(46793,4),(46794,2),(46795,1),(46796,5),(46797,1),(46798,9),(46799,4),(46800,5),(46801,2),(46802,5),(46803,9),(46804,6),(46805,9),(46806,6),(46807,8),(46808,8),(46809,6),(46810,9),(46811,7),(46812,4),(46813,9),(46814,8),(46815,5),(46816,4),(46817,3),(46818,6),(46819,7),(46820,6),(46821,4),(46822,6),(46823,6),(46824,5),(46825,3),(46826,3),(46827,7),(46828,8),(46829,3),(46830,1),(46831,1),(46832,4),(46833,8),(46834,6),(46835,6),(46836,1),(46837,9),(46838,8),(46839,2),(46840,8),(46841,1),(46842,5),(46843,1),(46844,4),(46845,8),(46846,8),(46847,5),(46848,5),(46849,9),(46850,4),(46851,8),(46852,4),(46853,8),(46854,7),(46855,8),(46856,9),(46857,1),(46858,1),(46859,5),(46860,4),(46861,9),(46862,2),(46863,7),(46864,6),(46865,8),(46866,5),(46867,8),(46868,3),(46869,2),(46870,6),(46871,8),(46872,1),(46873,6),(46874,9),(46875,5),(46876,3),(46877,2),(46878,7),(46879,3),(46880,1),(46881,1),(46882,5),(46883,1),(46884,4),(46885,6),(46886,7),(46887,5),(46888,9),(46889,5),(46890,1),(46891,3),(46892,7),(46893,5),(46894,2),(46895,9),(46896,5),(46897,4),(46898,2),(46899,7),(46900,8),(46901,1),(46902,4),(46903,3),(46904,1),(46905,1),(46906,5),(46907,5),(46908,9),(46909,3),(46910,5),(46911,2),(46912,7),(46913,4),(46914,5),(46915,4),(46916,5),(46917,7),(46918,3),(46919,9),(46920,9),(46921,6),(46922,3),(46923,2),(46924,7),(46925,2),(46926,4),(46927,2),(46928,4),(46929,1),(46930,2),(46931,2),(46932,3),(46933,6),(46934,7),(46935,1),(46936,9),(46937,4),(46938,5),(46939,6),(46940,3),(46941,6),(46942,1),(46943,3),(46944,9),(46945,3),(46946,5),(46947,9),(46948,6),(46949,1),(46950,4),(46951,2),(46952,8),(46953,5),(46954,2),(46955,7),(46956,6),(46957,7),(46958,5),(46959,8),(46960,7),(46961,1),(46962,2),(46963,3),(46964,3),(46965,5),(46966,9),(46967,9),(46968,9),(46969,1),(46970,3),(46971,4),(46972,9),(46973,3),(46974,6),(46975,2),(46976,4),(46977,3),(46978,5),(46979,8),(46980,3),(46981,3),(46982,7),(46983,3),(46984,8),(46985,7),(46986,1),(46987,9),(46988,1),(46989,6),(46990,8),(46991,7),(46992,8),(46993,7),(46994,5),(46995,2),(46996,5),(46997,7),(46998,1),(46999,9),(47000,3),(47001,8),(47002,1),(47003,9),(47004,7),(47005,2),(47006,8),(47007,7),(47008,1),(47009,6),(47010,9),(47011,1),(47012,9),(47013,7),(47014,6),(47015,4),(47016,6),(47017,4),(47018,6),(47019,9),(47020,6),(47021,1),(47022,9),(47023,9),(47024,3),(47025,7),(47026,1),(47027,7),(47028,3),(47029,4),(47030,8),(47031,9),(47032,2),(47033,5),(47034,9),(47035,4),(47036,2),(47037,1),(47038,8),(47039,9),(47040,3),(47041,9),(47042,5),(47043,3),(47044,4),(47045,7),(47046,1),(47047,3),(47048,6),(47049,5),(47050,2),(47051,5),(47052,6),(47053,5),(47054,5),(47055,4),(47056,3),(47057,1),(47058,9),(47059,8),(47060,3),(47061,1),(47062,1),(47063,4),(47064,9),(47065,7),(47066,9),(47067,3),(47068,2),(47069,6),(47070,2),(47071,9),(47072,6),(47073,2),(47074,9),(47075,8),(47076,9),(47077,8),(47078,7),(47079,9),(47080,2),(47081,4),(47082,4),(47083,1),(47084,5),(47085,3),(47086,1),(47087,8),(47088,9),(47089,1),(47090,4),(47091,5),(47092,3),(47093,8),(47094,9),(47095,6),(47096,4),(47097,2),(47098,6),(47099,2),(47100,4),(47101,8),(47102,4),(47103,8),(47104,7),(47105,3),(47106,5),(47107,4),(47108,7),(47109,5),(47110,1),(47111,8),(47112,7),(47113,9),(47114,7),(47115,1),(47116,8),(47117,7),(47118,5),(47119,4),(47120,3),(47121,1),(47122,9),(47123,9),(47124,7),(47125,7),(47126,6),(47127,1),(47128,9),(47129,1),(47130,4),(47131,1),(47132,8),(47133,6),(47134,1),(47135,9),(47136,7),(47137,1),(47138,5),(47139,9),(47140,4),(47141,6),(47142,1),(47143,2),(47144,8),(47145,1),(47146,5),(47147,2),(47148,9),(47149,7),(47150,9),(47151,5),(47152,1),(47153,6),(47154,1),(47155,4),(47156,8),(47157,1),(47158,3),(47159,4),(47160,5),(47161,9),(47162,1),(47163,2),(47164,2),(47165,2),(47166,7),(47167,8),(47168,5),(47169,7),(47170,5),(47171,8),(47172,2),(47173,8),(47174,7),(47175,9),(47176,6),(47177,2),(47178,1),(47179,6),(47180,5),(47181,5),(47182,2),(47183,1),(47184,5),(47185,2),(47186,7),(47187,2),(47188,9),(47189,4),(47190,1),(47191,9),(47192,5),(47193,5),(47194,4),(47195,7),(47196,9),(47197,4),(47198,1),(47199,4),(47200,5),(47201,7),(47202,8),(47203,1),(47204,3),(47205,2),(47206,5),(47207,4),(47208,6),(47209,9),(47210,1),(47211,1),(47212,8),(47213,6),(47214,6),(47215,9),(47216,2),(47217,4),(47218,2),(47219,4),(47220,4),(47221,3),(47222,1),(47223,7),(47224,8),(47225,9),(47226,5),(47227,2),(47228,4),(47229,8),(47230,3),(47231,2),(47232,6),(47233,8),(47234,8),(47235,7),(47236,6),(47237,3),(47238,7),(47239,6),(47240,6),(47241,4),(47242,2),(47243,1),(47244,3),(47245,8),(47246,6),(47247,5),(47248,4),(47249,6),(47250,4),(47251,2),(47252,9),(47253,6),(47254,8),(47255,8),(47256,2),(47257,5),(47258,9),(47259,2),(47260,2),(47261,6),(47262,5),(47263,8),(47264,1),(47265,1),(47266,2),(47267,2),(47268,2),(47269,8),(47270,8),(47271,3),(47272,4),(47273,7),(47274,2),(47275,8),(47276,5),(47277,2),(47278,6),(47279,5),(47280,9),(47281,7),(47282,8),(47283,8),(47284,8),(47285,9),(47286,9),(47287,5),(47288,2),(47289,2),(47290,6),(47291,4),(47292,6),(47293,7),(47294,4),(47295,3),(47296,4),(47297,8),(47298,5),(47299,4),(47300,7),(47301,1),(47302,1),(47303,1),(47304,8),(47305,9),(47306,7),(47307,9),(47308,2),(47309,2),(47310,7),(47311,1),(47312,2),(47313,4),(47314,1),(47315,2),(47316,5),(47317,7),(47318,3),(47319,2),(47320,2),(47321,8),(47322,7),(47323,8),(47324,7),(47325,1),(47326,4),(47327,2),(47328,9),(47329,6),(47330,3),(47331,8),(47332,9),(47333,4),(47334,4),(47335,7),(47336,9),(47337,2),(47338,2),(47339,7),(47340,2),(47341,5),(47342,7),(47343,9),(47344,3),(47345,7),(47346,1),(47347,3),(47348,3),(47349,6),(47350,2),(47351,7),(47352,5),(47353,3),(47354,5),(47355,7),(47356,1),(47357,4),(47358,1),(47359,7),(47360,5),(47361,6),(47362,6),(47363,4),(47364,9),(47365,6),(47366,5),(47367,1),(47368,9),(47369,1),(47370,5),(47371,7),(47372,5),(47373,6),(47374,2),(47375,4),(47376,5),(47377,3),(47378,9),(47379,2),(47380,2),(47381,7),(47382,5),(47383,6),(47384,8),(47385,9),(47386,2),(47387,9),(47388,5),(47389,5),(47390,9),(47391,3),(47392,9),(47393,9),(47394,5),(47395,2),(47396,6),(47397,7),(47398,3),(47399,1),(47400,9),(47401,8),(47402,4),(47403,2),(47404,3),(47405,5),(47406,8),(47407,6),(47408,1),(47409,2),(47410,8),(47411,5),(47412,9),(47413,5),(47414,9),(47415,7),(47416,1),(47417,8),(47418,7),(47419,4),(47420,5),(47421,4),(47422,9),(47423,8),(47424,2),(47425,6),(47426,7),(47427,1),(47428,3),(47429,1),(47430,8),(47431,5),(47432,4),(47433,4),(47434,5),(47435,4),(47436,7),(47437,2),(47438,7),(47439,3),(47440,2),(47441,8),(47442,8),(47443,4),(47444,7),(47445,6),(47446,8),(47447,2),(47448,5),(47449,9),(47450,3),(47451,8),(47452,9),(47453,3),(47454,7),(47455,3),(47456,5),(47457,7),(47458,2),(47459,4),(47460,5),(47461,7),(47462,3),(47463,4),(47464,1),(47465,5),(47466,3),(47467,7),(47468,4),(47469,4),(47470,1),(47471,2),(47472,4),(47473,4),(47474,9),(47475,8),(47476,8),(47477,3),(47478,7),(47479,4),(47480,3),(47481,7),(47482,8),(47483,8),(47484,3),(47485,1),(47486,2),(47487,5),(47488,5),(47489,7),(47490,2),(47491,7),(47492,2),(47493,1),(47494,2),(47495,1),(47496,9),(47497,1),(47498,2),(47499,3),(47500,7),(47501,6),(47502,1),(47503,1),(47504,1),(47505,5),(47506,8),(47507,2),(47508,3),(47509,8),(47510,5),(47511,6),(47512,5),(47513,1),(47514,2),(47515,3),(47516,5),(47517,1),(47518,8),(47519,3),(47520,6),(47521,4),(47522,1),(47523,5),(47524,7),(47525,4),(47526,2),(47527,9),(47528,1),(47529,4),(47530,4),(47531,4),(47532,4),(47533,3),(47534,7),(47535,3),(47536,1),(47537,4),(47538,1),(47539,2),(47540,9),(47541,7),(47542,3),(47543,1),(47544,9),(47545,9),(47546,7),(47547,6),(47548,3),(47549,5),(47550,6),(47551,1),(47552,5),(47553,8),(47554,5),(47555,4),(47556,6),(47557,7),(47558,4),(47559,4),(47560,3),(47561,9),(47562,1),(47563,2),(47564,4),(47565,3),(47566,7),(47567,6),(47568,3),(47569,3),(47570,8),(47571,6),(47572,8),(47573,7),(47574,1),(47575,2),(47576,7),(47577,9),(47578,9),(47579,7),(47580,6),(47581,5),(47582,9),(47583,5),(47584,1),(47585,6),(47586,6),(47587,8),(47588,2),(47589,2),(47590,9),(47591,3),(47592,6),(47593,9),(47594,1),(47595,3),(47596,5),(47597,3),(47598,1),(47599,7),(47600,9),(47601,3),(47602,2),(47603,4),(47604,6),(47605,2),(47606,3),(47607,8),(47608,5),(47609,4),(47610,3),(47611,2),(47612,2),(47613,1),(47614,5),(47615,8),(47616,7),(47617,8),(47618,4),(47619,4),(47620,5),(47621,5),(47622,4),(47623,6),(47624,7),(47625,3),(47626,4),(47627,1),(47628,1),(47629,2),(47630,6),(47631,1),(47632,6),(47633,9),(47634,7),(47635,2),(47636,2),(47637,6),(47638,8),(47639,1),(47640,2),(47641,9),(47642,4),(47643,1),(47644,8),(47645,2),(47646,5),(47647,9),(47648,4),(47649,4),(47650,4),(47651,6),(47652,1),(47653,4),(47654,7),(47655,1),(47656,1),(47657,3),(47658,1),(47659,4),(47660,2),(47661,2),(47662,6),(47663,1),(47664,7),(47665,7),(47666,5),(47667,5),(47668,7),(47669,1),(47670,7),(47671,8),(47672,4),(47673,7),(47674,9),(47675,2),(47676,8),(47677,2),(47678,1),(47679,2),(47680,2),(47681,7),(47682,9),(47683,7),(47684,1),(47685,8),(47686,5),(47687,4),(47688,6),(47689,1),(47690,3),(47691,3),(47692,9),(47693,8),(47694,1),(47695,1),(47696,1),(47697,2),(47698,2),(47699,4),(47700,8),(47701,7),(47702,8),(47703,6),(47704,5),(47705,3),(47706,1),(47707,9),(47708,2),(47709,1),(47710,9),(47711,7),(47712,5),(47713,2),(47714,5),(47715,1),(47716,1),(47717,3),(47718,9),(47719,1),(47720,8),(47721,7),(47722,8),(47723,1),(47724,9),(47725,4),(47726,3),(47727,2),(47728,1),(47729,7),(47730,7),(47731,2),(47732,5),(47733,9),(47734,4),(47735,7),(47736,8),(47737,4),(47738,3),(47739,1),(47740,9),(47741,5),(47742,9),(47743,4),(47744,8),(47745,5),(47746,6),(47747,2),(47748,3),(47749,1),(47750,3),(47751,3),(47752,2),(47753,4),(47754,9),(47755,7),(47756,9),(47757,3),(47758,7),(47759,1),(47760,4),(47761,3),(47762,3),(47763,1),(47764,3),(47765,1),(47766,7),(47767,5),(47768,6),(47769,7),(47770,9),(47771,3),(47772,2),(47773,4),(47774,1),(47775,9),(47776,7),(47777,8),(47778,1),(47779,8),(47780,7),(47781,5),(47782,4),(47783,5),(47784,1),(47785,2),(47786,4),(47787,9),(47788,5),(47789,9),(47790,3),(47791,7),(47792,6),(47793,5),(47794,4),(47795,4),(47796,8),(47797,2),(47798,6),(47799,5),(47800,8),(47801,6),(47802,8),(47803,3),(47804,8),(47805,1),(47806,6),(47807,4),(47808,3),(47809,7),(47810,8),(47811,5),(47812,7),(47813,2),(47814,7),(47815,6),(47816,3),(47817,9),(47818,7),(47819,6),(47820,6),(47821,9),(47822,5),(47823,4),(47824,1),(47825,4),(47826,1),(47827,2),(47828,5),(47829,9),(47830,3),(47831,8),(47832,8),(47833,3),(47834,2),(47835,6),(47836,3),(47837,6),(47838,6),(47839,9),(47840,1),(47841,8),(47842,1),(47843,4),(47844,6),(47845,4),(47846,6),(47847,5),(47848,2),(47849,4),(47850,8),(47851,3),(47852,7),(47853,9),(47854,3),(47855,4),(47856,2),(47857,1),(47858,2),(47859,4),(47860,4),(47861,3),(47862,3),(47863,2),(47864,3),(47865,3),(47866,2),(47867,7),(47868,2),(47869,5),(47870,3),(47871,8),(47872,9),(47873,8),(47874,9),(47875,6),(47876,4),(47877,1),(47878,9),(47879,1),(47880,3),(47881,3),(47882,5),(47883,3),(47884,7),(47885,7),(47886,5),(47887,2),(47888,5),(47889,8),(47890,2),(47891,4),(47892,9),(47893,5),(47894,1),(47895,3),(47896,7),(47897,7),(47898,1),(47899,2),(47900,8),(47901,4),(47902,9),(47903,8),(47904,6),(47905,8),(47906,1),(47907,2),(47908,2),(47909,5),(47910,7),(47911,9),(47912,2),(47913,3),(47914,8),(47915,9),(47916,5),(47917,4),(47918,1),(47919,8),(47920,3),(47921,9),(47922,9),(47923,8),(47924,6),(47925,5),(47926,5),(47927,6),(47928,9),(47929,2),(47930,1),(47931,3),(47932,9),(47933,2),(47934,6),(47935,7),(47936,8),(47937,7),(47938,8),(47939,4),(47940,5),(47941,8),(47942,8),(47943,6),(47944,6),(47945,6),(47946,3),(47947,1),(47948,1),(47949,8),(47950,5),(47951,9),(47952,3),(47953,1),(47954,2),(47955,1),(47956,4),(47957,9),(47958,1),(47959,6),(47960,2),(47961,3),(47962,9),(47963,9),(47964,1),(47965,7),(47966,4),(47967,2),(47968,2),(47969,1),(47970,2),(47971,6),(47972,6),(47973,1),(47974,9),(47975,1),(47976,7),(47977,6),(47978,5),(47979,3),(47980,5),(47981,1),(47982,6),(47983,6),(47984,3),(47985,2),(47986,5),(47987,6),(47988,6),(47989,3),(47990,4),(47991,4),(47992,8),(47993,6),(47994,3),(47995,9),(47996,8),(47997,3),(47998,5),(47999,6),(48000,7),(48001,6),(48002,7),(48003,5),(48004,3),(48005,5),(48006,1),(48007,5),(48008,9),(48009,6),(48010,8),(48011,9),(48012,7),(48013,7),(48014,2),(48015,9),(48016,5),(48017,6),(48018,6),(48019,8),(48020,8),(48021,2),(48022,7),(48023,6),(48024,4),(48025,8),(48026,2),(48027,5),(48028,6),(48029,8),(48030,7),(48031,1),(48032,8),(48033,9),(48034,4),(48035,4),(48036,7),(48037,5),(48038,1),(48039,7),(48040,9),(48041,4),(48042,2),(48043,4),(48044,3),(48045,5),(48046,3),(48047,1),(48048,9),(48049,1),(48050,3),(48051,5),(48052,9),(48053,4),(48054,7),(48055,6),(48056,8),(48057,5),(48058,8),(48059,3),(48060,1),(48061,6),(48062,8),(48063,3),(48064,2),(48065,1),(48066,3),(48067,2),(48068,4),(48069,3),(48070,8),(48071,2),(48072,6),(48073,6),(48074,7),(48075,4),(48076,6),(48077,8),(48078,8),(48079,1),(48080,2),(48081,9),(48082,6),(48083,6),(48084,8),(48085,4),(48086,7),(48087,1),(48088,3),(48089,3),(48090,9),(48091,5),(48092,8),(48093,9),(48094,2),(48095,2),(48096,7),(48097,7),(48098,1),(48099,3),(48100,2),(48101,4),(48102,4),(48103,6),(48104,1),(48105,3),(48106,4),(48107,9),(48108,7),(48109,8),(48110,3),(48111,1),(48112,8),(48113,2),(48114,4),(48115,8),(48116,1),(48117,4),(48118,9),(48119,1),(48120,2),(48121,7),(48122,2),(48123,2),(48124,5),(48125,6),(48126,4),(48127,2),(48128,6),(48129,8),(48130,7),(48131,1),(48132,7),(48133,3),(48134,8),(48135,2),(48136,7),(48137,5),(48138,8),(48139,1),(48140,1),(48141,2),(48142,6),(48143,9),(48144,2),(48145,5),(48146,9),(48147,6),(48148,2),(48149,2),(48150,9),(48151,2),(48152,9),(48153,4),(48154,7),(48155,1),(48156,1),(48157,2),(48158,8),(48159,2),(48160,8),(48161,9),(48162,7),(48163,1),(48164,6),(48165,2),(48166,7),(48167,7),(48168,7),(48169,5),(48170,5),(48171,4),(48172,7),(48173,3),(48174,1),(48175,2),(48176,5),(48177,5),(48178,9),(48179,7),(48180,8),(48181,4),(48182,3),(48183,1),(48184,2),(48185,4),(48186,4),(48187,3),(48188,6),(48189,1),(48190,3),(48191,7),(48192,3),(48193,7),(48194,5),(48195,3),(48196,6),(48197,4),(48198,9),(48199,2),(48200,5),(48201,4),(48202,2),(48203,2),(48204,8),(48205,7),(48206,5),(48207,9),(48208,3),(48209,1),(48210,4),(48211,6),(48212,2),(48213,4),(48214,4),(48215,9),(48216,6),(48217,7),(48218,2),(48219,9),(48220,1),(48221,6),(48222,1),(48223,7),(48224,2),(48225,9),(48226,2),(48227,7),(48228,6),(48229,5),(48230,1),(48231,3),(48232,8),(48233,5),(48234,3),(48235,2),(48236,3),(48237,1),(48238,8),(48239,6),(48240,2),(48241,2),(48242,2),(48243,5),(48244,2),(48245,4),(48246,6),(48247,7),(48248,7),(48249,5),(48250,7),(48251,4),(48252,8),(48253,9),(48254,6),(48255,9),(48256,6),(48257,7),(48258,1),(48259,8),(48260,3),(48261,6),(48262,1),(48263,8),(48264,2),(48265,9),(48266,3),(48267,8),(48268,3),(48269,1),(48270,2),(48271,1),(48272,2),(48273,6),(48274,4),(48275,2),(48276,7),(48277,7),(48278,7),(48279,1),(48280,6),(48281,2),(48282,3),(48283,2),(48284,2),(48285,4),(48286,3),(48287,5),(48288,9),(48289,8),(48290,2),(48291,5),(48292,6),(48293,4),(48294,2),(48295,9),(48296,6),(48297,7),(48298,2),(48299,8),(48300,3),(48301,5),(48302,4),(48303,6),(48304,2),(48305,3),(48306,1),(48307,7),(48308,2),(48309,1),(48310,5),(48311,2),(48312,3),(48313,9),(48314,1),(48315,6),(48316,5),(48317,6),(48318,9),(48319,2),(48320,8),(48321,6),(48322,3),(48323,7),(48324,1),(48325,1),(48326,9),(48327,4),(48328,6),(48329,2),(48330,6),(48331,5),(48332,9),(48333,7),(48334,2),(48335,7),(48336,1),(48337,9),(48338,9),(48339,4),(48340,8),(48341,7),(48342,7),(48343,3),(48344,1),(48345,2),(48346,5),(48347,5),(48348,7),(48349,9),(48350,7),(48351,2),(48352,6),(48353,6),(48354,2),(48355,8),(48356,6),(48357,5),(48358,1),(48359,9),(48360,2),(48361,8),(48362,6),(48363,8),(48364,2),(48365,2),(48366,1),(48367,2),(48368,5),(48369,5),(48370,1),(48371,4),(48372,7),(48373,7),(48374,9),(48375,9),(48376,8),(48377,8),(48378,9),(48379,5),(48380,1),(48381,2),(48382,6),(48383,8),(48384,6),(48385,3),(48386,6),(48387,9),(48388,1),(48389,1),(48390,6),(48391,8),(48392,9),(48393,9),(48394,1),(48395,1),(48396,2),(48397,7),(48398,1),(48399,5),(48400,5),(48401,6),(48402,2),(48403,5),(48404,6),(48405,5),(48406,5),(48407,2),(48408,5),(48409,8),(48410,8),(48411,4),(48412,3),(48413,4),(48414,8),(48415,3),(48416,1),(48417,3),(48418,7),(48419,1),(48420,6),(48421,7),(48422,9),(48423,3),(48424,3),(48425,2),(48426,5),(48427,3),(48428,2),(48429,9),(48430,4),(48431,7),(48432,1),(48433,4),(48434,7),(48435,7),(48436,4),(48437,5),(48438,1),(48439,5),(48440,2),(48441,6),(48442,4),(48443,3),(48444,8),(48445,6),(48446,9),(48447,6),(48448,2),(48449,5),(48450,1),(48451,2),(48452,7),(48453,9),(48454,1),(48455,7),(48456,8),(48457,6),(48458,1),(48459,4),(48460,7),(48461,6),(48462,5),(48463,8),(48464,5),(48465,2),(48466,5),(48467,3),(48468,7),(48469,1),(48470,1),(48471,4),(48472,3),(48473,2),(48474,6),(48475,3),(48476,7),(48477,6),(48478,1),(48479,1),(48480,8),(48481,9),(48482,8),(48483,4),(48484,9),(48485,7),(48486,6),(48487,6),(48488,6),(48489,2),(48490,6),(48491,7),(48492,7),(48493,5),(48494,1),(48495,1),(48496,6),(48497,2),(48498,3),(48499,7),(48500,7),(48501,7),(48502,4),(48503,5),(48504,3),(48505,2),(48506,4),(48507,1),(48508,1),(48509,3),(48510,8),(48511,6),(48512,6),(48513,8),(48514,4),(48515,4),(48516,1),(48517,6),(48518,7),(48519,2),(48520,2),(48521,9),(48522,2),(48523,2),(48524,3),(48525,9),(48526,1),(48527,2),(48528,2),(48529,3),(48530,6),(48531,4),(48532,6),(48533,1),(48534,4),(48535,5),(48536,4),(48537,9),(48538,1),(48539,7),(48540,8),(48541,7),(48542,4),(48543,9),(48544,3),(48545,8),(48546,6),(48547,4),(48548,1),(48549,7),(48550,3),(48551,4),(48552,9),(48553,6),(48554,9),(48555,2),(48556,2),(48557,7),(48558,9),(48559,7),(48560,6),(48561,1),(48562,5),(48563,7),(48564,5),(48565,3),(48566,4),(48567,6),(48568,2),(48569,9),(48570,8),(48571,5),(48572,6),(48573,7),(48574,3),(48575,2),(48576,8),(48577,5),(48578,1),(48579,5),(48580,8),(48581,2),(48582,1),(48583,9),(48584,6),(48585,4),(48586,8),(48587,2),(48588,3),(48589,2),(48590,1),(48591,7),(48592,5),(48593,5),(48594,3),(48595,1),(48596,3),(48597,2),(48598,1),(48599,9),(48600,2),(48601,6),(48602,3),(48603,1),(48604,7),(48605,7),(48606,7),(48607,4),(48608,9),(48609,5),(48610,3),(48611,2),(48612,1),(48613,4),(48614,7),(48615,4),(48616,6),(48617,2),(48618,1),(48619,7),(48620,1),(48621,2),(48622,3),(48623,8),(48624,6),(48625,5),(48626,7),(48627,5),(48628,4),(48629,9),(48630,2),(48631,3),(48632,4),(48633,8),(48634,5),(48635,2),(48636,9),(48637,5),(48638,2),(48639,2),(48640,7),(48641,2),(48642,6),(48643,8),(48644,9),(48645,4),(48646,3),(48647,3),(48648,7),(48649,4),(48650,3),(48651,3),(48652,3),(48653,2),(48654,8),(48655,4),(48656,5),(48657,6),(48658,5),(48659,1),(48660,7),(48661,3),(48662,9),(48663,3),(48664,7),(48665,7),(48666,1),(48667,7),(48668,1),(48669,7),(48670,4),(48671,9),(48672,2),(48673,8),(48674,2),(48675,7),(48676,7),(48677,6),(48678,4),(48679,6),(48680,7),(48681,6),(48682,8),(48683,5),(48684,7),(48685,8),(48686,4),(48687,1),(48688,3),(48689,6),(48690,1),(48691,9),(48692,8),(48693,6),(48694,3),(48695,6),(48696,9),(48697,7),(48698,1),(48699,4),(48700,7),(48701,3),(48702,5),(48703,2),(48704,4),(48705,3),(48706,6),(48707,7),(48708,9),(48709,3),(48710,8),(48711,3),(48712,7),(48713,7),(48714,5),(48715,5),(48716,9),(48717,8),(48718,4),(48719,3),(48720,7),(48721,3),(48722,9),(48723,6),(48724,5),(48725,2),(48726,1),(48727,8),(48728,6),(48729,2),(48730,2),(48731,3),(48732,3),(48733,7),(48734,9),(48735,7),(48736,6),(48737,7),(48738,8),(48739,1),(48740,3),(48741,1),(48742,5),(48743,9),(48744,5),(48745,5),(48746,3),(48747,2),(48748,3),(48749,4),(48750,3),(48751,5),(48752,6),(48753,5),(48754,9),(48755,1),(48756,9),(48757,3),(48758,3),(48759,3),(48760,5),(48761,4),(48762,6),(48763,2),(48764,5),(48765,3),(48766,6),(48767,2),(48768,4),(48769,9),(48770,9),(48771,4),(48772,7),(48773,9),(48774,9),(48775,7),(48776,8),(48777,8),(48778,6),(48779,4),(48780,1),(48781,3),(48782,1),(48783,1),(48784,9),(48785,8),(48786,5),(48787,8),(48788,6),(48789,2),(48790,3),(48791,5),(48792,9),(48793,5),(48794,1),(48795,3),(48796,5),(48797,8),(48798,7),(48799,9),(48800,5),(48801,9),(48802,7),(48803,9),(48804,2),(48805,9),(48806,5),(48807,9),(48808,2),(48809,3),(48810,5),(48811,3),(48812,5),(48813,4),(48814,1),(48815,9),(48816,2),(48817,6),(48818,3),(48819,4),(48820,4),(48821,9),(48822,5),(48823,3),(48824,8),(48825,9),(48826,3),(48827,6),(48828,6),(48829,9),(48830,5),(48831,7),(48832,8),(48833,8),(48834,7),(48835,5),(48836,3),(48837,1),(48838,1),(48839,3),(48840,1),(48841,8),(48842,2),(48843,5),(48844,6),(48845,5),(48846,4),(48847,4),(48848,4),(48849,5),(48850,3),(48851,8),(48852,8),(48853,8),(48854,6),(48855,3),(48856,2),(48857,1),(48858,9),(48859,1),(48860,3),(48861,6),(48862,2),(48863,1),(48864,9),(48865,1),(48866,3),(48867,8),(48868,3),(48869,8),(48870,2),(48871,7),(48872,1),(48873,7),(48874,4),(48875,1),(48876,9),(48877,7),(48878,2),(48879,6),(48880,3),(48881,8),(48882,8),(48883,7),(48884,2),(48885,3),(48886,1),(48887,1),(48888,6),(48889,5),(48890,5),(48891,9),(48892,7),(48893,9),(48894,4),(48895,2),(48896,5),(48897,4),(48898,5),(48899,8),(48900,8),(48901,2),(48902,5),(48903,6),(48904,6),(48905,3),(48906,1),(48907,5),(48908,4),(48909,1),(48910,6),(48911,8),(48912,6),(48913,3),(48914,6),(48915,1),(48916,2),(48917,6),(48918,7),(48919,9),(48920,7),(48921,3),(48922,5),(48923,7),(48924,2),(48925,5),(48926,1),(48927,3),(48928,6),(48929,7),(48930,3),(48931,8),(48932,6),(48933,3),(48934,4),(48935,9),(48936,5),(48937,9),(48938,9),(48939,7),(48940,9),(48941,1),(48942,8),(48943,3),(48944,8),(48945,4),(48946,5),(48947,1),(48948,7),(48949,7),(48950,8),(48951,9),(48952,8),(48953,7),(48954,3),(48955,9),(48956,1),(48957,8),(48958,6),(48959,9),(48960,2),(48961,3),(48962,9),(48963,5),(48964,1),(48965,9),(48966,3),(48967,5),(48968,4),(48969,7),(48970,5),(48971,7),(48972,7),(48973,4),(48974,6),(48975,4),(48976,1),(48977,5),(48978,8),(48979,9),(48980,5),(48981,3),(48982,5),(48983,6),(48984,2),(48985,6),(48986,7),(48987,6),(48988,6),(48989,6),(48990,4),(48991,9),(48992,3),(48993,2),(48994,7),(48995,9),(48996,9),(48997,5),(48998,2),(48999,9),(49000,6),(49001,9),(49002,2),(49003,8),(49004,5),(49005,7),(49006,5),(49007,2),(49008,1),(49009,1),(49010,3),(49011,4),(49012,8),(49013,1),(49014,5),(49015,6),(49016,1),(49017,9),(49018,5),(49019,3),(49020,3),(49021,8),(49022,4),(49023,8),(49024,2),(49025,3),(49026,1),(49027,3),(49028,5),(49029,7),(49030,8),(49031,8),(49032,2),(49033,9),(49034,4),(49035,4),(49036,7),(49037,2),(49038,4),(49039,4),(49040,6),(49041,8),(49042,3),(49043,7),(49044,1),(49045,8),(49046,8),(49047,3),(49048,6),(49049,1),(49050,5),(49051,9),(49052,7),(49053,3),(49054,4),(49055,3),(49056,9),(49057,3),(49058,2),(49059,5),(49060,5),(49061,2),(49062,8),(49063,2),(49064,6),(49065,2),(49066,7),(49067,4),(49068,3),(49069,1),(49070,3),(49071,5),(49072,3),(49073,7),(49074,4),(49075,2),(49076,6),(49077,4),(49078,9),(49079,4),(49080,9),(49081,1),(49082,7),(49083,8),(49084,3),(49085,6),(49086,1),(49087,6),(49088,9),(49089,2),(49090,4),(49091,1),(49092,6),(49093,1),(49094,8),(49095,6),(49096,5),(49097,5),(49098,3),(49099,6),(49100,7),(49101,2),(49102,2),(49103,8),(49104,2),(49105,1),(49106,4),(49107,3),(49108,4),(49109,2),(49110,6),(49111,1),(49112,4),(49113,8),(49114,4),(49115,3),(49116,1),(49117,2),(49118,1),(49119,7),(49120,7),(49121,9),(49122,1),(49123,3),(49124,8),(49125,3),(49126,3),(49127,8),(49128,5),(49129,5),(49130,7),(49131,7),(49132,5),(49133,7),(49134,7),(49135,1),(49136,3),(49137,5),(49138,6),(49139,6),(49140,2),(49141,4),(49142,3),(49143,8),(49144,9),(49145,9),(49146,4),(49147,1),(49148,4),(49149,5),(49150,7),(49151,5),(49152,2),(49153,2),(49154,3),(49155,1),(49156,7),(49157,5),(49158,4),(49159,6),(49160,9),(49161,1),(49162,7),(49163,8),(49164,9),(49165,1),(49166,2),(49167,5),(49168,1),(49169,3),(49170,6),(49171,4),(49172,8),(49173,3),(49174,6),(49175,6),(49176,8),(49177,8),(49178,4),(49179,2),(49180,4),(49181,1),(49182,4),(49183,2),(49184,5),(49185,7),(49186,5),(49187,9),(49188,4),(49189,2),(49190,9),(49191,9),(49192,4),(49193,9),(49194,6),(49195,1),(49196,9),(49197,3),(49198,4),(49199,5),(49200,9),(49201,6),(49202,7),(49203,6),(49204,4),(49205,9),(49206,6),(49207,5),(49208,9),(49209,7),(49210,7),(49211,2),(49212,2),(49213,3),(49214,1),(49215,3),(49216,3),(49217,9),(49218,1),(49219,9),(49220,1),(49221,9),(49222,5),(49223,2),(49224,9),(49225,8),(49226,8),(49227,6),(49228,8),(49229,9),(49230,2),(49231,5),(49232,2),(49233,2),(49234,8),(49235,9),(49236,7),(49237,6),(49238,8),(49239,9),(49240,9),(49241,3),(49242,5),(49243,9),(49244,9),(49245,5),(49246,8),(49247,7),(49248,5),(49249,3),(49250,4),(49251,2),(49252,7),(49253,2),(49254,3),(49255,9),(49256,8),(49257,9),(49258,7),(49259,5),(49260,1),(49261,2),(49262,1),(49263,7),(49264,5),(49265,4),(49266,4),(49267,3),(49268,4),(49269,1),(49270,3),(49271,3),(49272,5),(49273,7),(49274,5),(49275,8),(49276,4),(49277,7),(49278,9),(49279,6),(49280,1),(49281,3),(49282,6),(49283,8),(49284,9),(49285,1),(49286,3),(49287,2),(49288,8),(49289,3),(49290,7),(49291,8),(49292,8),(49293,3),(49294,7),(49295,8),(49296,5),(49297,9),(49298,1),(49299,3),(49300,2),(49301,3),(49302,7),(49303,3),(49304,5),(49305,9),(49306,3),(49307,8),(49308,4),(49309,7),(49310,6),(49311,5),(49312,1),(49313,9),(49314,4),(49315,8),(49316,5),(49317,1),(49318,3),(49319,3),(49320,1),(49321,3),(49322,2),(49323,8),(49324,7),(49325,2),(49326,2),(49327,6),(49328,2),(49329,1),(49330,2),(49331,2),(49332,3),(49333,9),(49334,1),(49335,4),(49336,7),(49337,6),(49338,2),(49339,2),(49340,1),(49341,6),(49342,7),(49343,8),(49344,9),(49345,9),(49346,5),(49347,9),(49348,7),(49349,6),(49350,2),(49351,6),(49352,2),(49353,8),(49354,5),(49355,9),(49356,3),(49357,8),(49358,2),(49359,6),(49360,5),(49361,5),(49362,3),(49363,8),(49364,8),(49365,8),(49366,3),(49367,2),(49368,7),(49369,6),(49370,3),(49371,7),(49372,9),(49373,1),(49374,3),(49375,6),(49376,1),(49377,9),(49378,9),(49379,2),(49380,8),(49381,7),(49382,4),(49383,1),(49384,9),(49385,1),(49386,5),(49387,4),(49388,5),(49389,2),(49390,5),(49391,2),(49392,2),(49393,7),(49394,7),(49395,3),(49396,5),(49397,7),(49398,1),(49399,6),(49400,9),(49401,7),(49402,2),(49403,1),(49404,2),(49405,5),(49406,2),(49407,8),(49408,9),(49409,3),(49410,6),(49411,5),(49412,3),(49413,9),(49414,5),(49415,9),(49416,4),(49417,3),(49418,7),(49419,6),(49420,3),(49421,6),(49422,5),(49423,7),(49424,4),(49425,3),(49426,9),(49427,1),(49428,5),(49429,7),(49430,2),(49431,9),(49432,5),(49433,8),(49434,2),(49435,1),(49436,1),(49437,8),(49438,5),(49439,9),(49440,3),(49441,2),(49442,7),(49443,7),(49444,6),(49445,7),(49446,6),(49447,4),(49448,7),(49449,3),(49450,9),(49451,5),(49452,7),(49453,7),(49454,1),(49455,7),(49456,4),(49457,4),(49458,3),(49459,6),(49460,7),(49461,5),(49462,4),(49463,2),(49464,8),(49465,9),(49466,7),(49467,7),(49468,7),(49469,5),(49470,3),(49471,5),(49472,8),(49473,3),(49474,3),(49475,9),(49476,6),(49477,7),(49478,8),(49479,5),(49480,7),(49481,8),(49482,4),(49483,9),(49484,3),(49485,1),(49486,8),(49487,5),(49488,3),(49489,9),(49490,2),(49491,2),(49492,7),(49493,8),(49494,1),(49495,5),(49496,2),(49497,6),(49498,2),(49499,7),(49500,7),(49501,4),(49502,8),(49503,5),(49504,8),(49505,8),(49506,8),(49507,1),(49508,9),(49509,3),(49510,7),(49511,2),(49512,1),(49513,5),(49514,7),(49515,8),(49516,3),(49517,4),(49518,4),(49519,4),(49520,7),(49521,1),(49522,7),(49523,3),(49524,5),(49525,9),(49526,1),(49527,3),(49528,8),(49529,2),(49530,8),(49531,7),(49532,4),(49533,2),(49534,4),(49535,9),(49536,4),(49537,2),(49538,3),(49539,5),(49540,1),(49541,9),(49542,3),(49543,2),(49544,5),(49545,6),(49546,6),(49547,3),(49548,7),(49549,3),(49550,5),(49551,4),(49552,6),(49553,8),(49554,9),(49555,9),(49556,3),(49557,3),(49558,5),(49559,3),(49560,4),(49561,1),(49562,6),(49563,8),(49564,4),(49565,5),(49566,2),(49567,8),(49568,8),(49569,7),(49570,9),(49571,7),(49572,4),(49573,3),(49574,4),(49575,8),(49576,4),(49577,7),(49578,8),(49579,7),(49580,3),(49581,5),(49582,9),(49583,4),(49584,2),(49585,3),(49586,3),(49587,1),(49588,7),(49589,7),(49590,5),(49591,5),(49592,4),(49593,4),(49594,5),(49595,5),(49596,1),(49597,7),(49598,4),(49599,4),(49600,1),(49601,9),(49602,4),(49603,2),(49604,8),(49605,1),(49606,9),(49607,2),(49608,3),(49609,6),(49610,5),(49611,8),(49612,2),(49613,9),(49614,5),(49615,3),(49616,3),(49617,2),(49618,1),(49619,6),(49620,2),(49621,1),(49622,7),(49623,5),(49624,5),(49625,4),(49626,7),(49627,9),(49628,5),(49629,8),(49630,4),(49631,6),(49632,5),(49633,3),(49634,4),(49635,2),(49636,1),(49637,9),(49638,4),(49639,6),(49640,3),(49641,9),(49642,1),(49643,7),(49644,1),(49645,9),(49646,6),(49647,3),(49648,1),(49649,5),(49650,7),(49651,5),(49652,4),(49653,6),(49654,8),(49655,5),(49656,2),(49657,2),(49658,4),(49659,8),(49660,7),(49661,5),(49662,1),(49663,3),(49664,1),(49665,8),(49666,2),(49667,8),(49668,9),(49669,5),(49670,6),(49671,3),(49672,8),(49673,1),(49674,3),(49675,4),(49676,6),(49677,1),(49678,4),(49679,4),(49680,1),(49681,7),(49682,2),(49683,3),(49684,3),(49685,4),(49686,7),(49687,8),(49688,4),(49689,3),(49690,2),(49691,6),(49692,5),(49693,9),(49694,2),(49695,8),(49696,3),(49697,9),(49698,6),(49699,9),(49700,7),(49701,7),(49702,7),(49703,6),(49704,1),(49705,6),(49706,2),(49707,5),(49708,1),(49709,2),(49710,8),(49711,5),(49712,3),(49713,7),(49714,1),(49715,3),(49716,4),(49717,3),(49718,9),(49719,9),(49720,4),(49721,4),(49722,2),(49723,1),(49724,5),(49725,4),(49726,1),(49727,7),(49728,6),(49729,5),(49730,8),(49731,3),(49732,6),(49733,2),(49734,9),(49735,7),(49736,5),(49737,9),(49738,6),(49739,1),(49740,2),(49741,2),(49742,4),(49743,6),(49744,6),(49745,6),(49746,6),(49747,7),(49748,6),(49749,4),(49750,3),(49751,9),(49752,3),(49753,4),(49754,8),(49755,5),(49756,2),(49757,4),(49758,4),(49759,5),(49760,3),(49761,9),(49762,2),(49763,2),(49764,1),(49765,4),(49766,3),(49767,4),(49768,7),(49769,5),(49770,7),(49771,9),(49772,5),(49773,3),(49774,9),(49775,1),(49776,4),(49777,4),(49778,8),(49779,8),(49780,8),(49781,2),(49782,5),(49783,5),(49784,4),(49785,7),(49786,8),(49787,5),(49788,2),(49789,9),(49790,8),(49791,7),(49792,1),(49793,2),(49794,1),(49795,9),(49796,1),(49797,6),(49798,5),(49799,4),(49800,5),(49801,5),(49802,4),(49803,7),(49804,6),(49805,1),(49806,1),(49807,9),(49808,5),(49809,2),(49810,5),(49811,3),(49812,8),(49813,2),(49814,7),(49815,5),(49816,5),(49817,1),(49818,7),(49819,9),(49820,3),(49821,2),(49822,6),(49823,7),(49824,1),(49825,1),(49826,9),(49827,4),(49828,8),(49829,6),(49830,5),(49831,1),(49832,4),(49833,3),(49834,4),(49835,4),(49836,1),(49837,2),(49838,9),(49839,8),(49840,5),(49841,3),(49842,9),(49843,7),(49844,6),(49845,7),(49846,9),(49847,5),(49848,7),(49849,3),(49850,8),(49851,2),(49852,3),(49853,3),(49854,1),(49855,8),(49856,5),(49857,4),(49858,8),(49859,4),(49860,7),(49861,8),(49862,8),(49863,5),(49864,2),(49865,1),(49866,1),(49867,1),(49868,6),(49869,4),(49870,3),(49871,4),(49872,7),(49873,1),(49874,6),(49875,7),(49876,5),(49877,6),(49878,3),(49879,5),(49880,3),(49881,1),(49882,4),(49883,8),(49884,1),(49885,7),(49886,6),(49887,3),(49888,4),(49889,6),(49890,1),(49891,2),(49892,5),(49893,3),(49894,6),(49895,6),(49896,9),(49897,4),(49898,6),(49899,6),(49900,8),(49901,6),(49902,5),(49903,1),(49904,9),(49905,9),(49906,2),(49907,6),(49908,6),(49909,5),(49910,8),(49911,4),(49912,6),(49913,1),(49914,2),(49915,6),(49916,5),(49917,5),(49918,8),(49919,2),(49920,6),(49921,3),(49922,6),(49923,6),(49924,4),(49925,2),(49926,8),(49927,5),(49928,1),(49929,2),(49930,1),(49931,3),(49932,1),(49933,6),(49934,1),(49935,4),(49936,6),(49937,6),(49938,1),(49939,3),(49940,7),(49941,6),(49942,3),(49943,5),(49944,6),(49945,3),(49946,7),(49947,4),(49948,6),(49949,7),(49950,3),(49951,9),(49952,5),(49953,6),(49954,5),(49955,8),(49956,4),(49957,2),(49958,7),(49959,9),(49960,6),(49961,4),(49962,5),(49963,6),(49964,9),(49965,2),(49966,3),(49967,8),(49968,3),(49969,2),(49970,2),(49971,1),(49972,4),(49973,1),(49974,8),(49975,4),(49976,1),(49977,7),(49978,1),(49979,1),(49980,4),(49981,5),(49982,5),(49983,3),(49984,7),(49985,6),(49986,7),(49987,7),(49988,8),(49989,3),(49990,6),(49991,6),(49992,6),(49993,9),(49994,3),(49995,4),(49996,1),(49997,6),(49998,8),(49999,1),(50000,1),(50001,4),(50002,2),(50003,2),(50004,6),(50005,6),(50006,7),(50007,7),(50008,5),(50009,9),(50010,1),(50011,9),(50012,7),(50013,4),(50014,4),(50015,1),(50016,7),(50017,1),(50018,5),(50019,8),(50020,6),(50021,7),(50022,5),(50023,1),(50024,8),(50025,7),(50026,5),(50027,2),(50028,8),(50029,1),(50030,8),(50031,1),(50032,7),(50033,2),(50034,7),(50035,2),(50036,1),(50037,6),(50038,7),(50039,7),(50040,6),(50041,3),(50042,4),(50043,2),(50044,4),(50045,1),(50046,7),(50047,3),(50048,2),(50049,7),(50050,2),(50051,1),(50052,1),(50053,1),(50054,7),(50055,6),(50056,4),(50057,5),(50058,9),(50059,4),(50060,7),(50061,7),(50062,2),(50063,9),(50064,1),(50065,4),(50066,4),(50067,9),(50068,6),(50069,1),(50070,8),(50071,4),(50072,8),(50073,8),(50074,7),(50075,5),(50076,2),(50077,1),(50078,2),(50079,3),(50080,9),(50081,5),(50082,6),(50083,3),(50084,9),(50085,4),(50086,9),(50087,7),(50088,7),(50089,4),(50090,5),(50091,4),(50092,6),(50093,1),(50094,9),(50095,2),(50096,8),(50097,7),(50098,1),(50099,9),(50100,7),(50101,6),(50102,8),(50103,7),(50104,8),(50105,7),(50106,2),(50107,5),(50108,9),(50109,7),(50110,5),(50111,2),(50112,3),(50113,1),(50114,3),(50115,5),(50116,5),(50117,5),(50118,3),(50119,5),(50120,1),(50121,6),(50122,9),(50123,8),(50124,5),(50125,4),(50126,9),(50127,4),(50128,7),(50129,8),(50130,8),(50131,4),(50132,1),(50133,1),(50134,7),(50135,7),(50136,2),(50137,1),(50138,1),(50139,6),(50140,4),(50141,8),(50142,9),(50143,9),(50144,9),(50145,8),(50146,8),(50147,1),(50148,4),(50149,3),(50150,5),(50151,9),(50152,1),(50153,5),(50154,1),(50155,6),(50156,3),(50157,1),(50158,5),(50159,1),(50160,7),(50161,7),(50162,7),(50163,2),(50164,1),(50165,3),(50166,1),(50167,2),(50168,5),(50169,1),(50170,9),(50171,6),(50172,1),(50173,7),(50174,8),(50175,6),(50176,9),(50177,2),(50178,5),(50179,2),(50180,8),(50181,4),(50182,6),(50183,5),(50184,7),(50185,8),(50186,6),(50187,8),(50188,1),(50189,9),(50190,7),(50191,7),(50192,1),(50193,3),(50194,4),(50195,6),(50196,4),(50197,1),(50198,7),(50199,1),(50200,4),(50201,7),(50202,1),(50203,1),(50204,3),(50205,7),(50206,6),(50207,6),(50208,2),(50209,3),(50210,1),(50211,6),(50212,2),(50213,1),(50214,7),(50215,7),(50216,9),(50217,2),(50218,6),(50219,6),(50220,7),(50221,6),(50222,3),(50223,1),(50224,2),(50225,8),(50226,6),(50227,1),(50228,2),(50229,5),(50230,3),(50231,5),(50232,3),(50233,6),(50234,8),(50235,8),(50236,3),(50237,7),(50238,8),(50239,2),(50240,6),(50241,1),(50242,5),(50243,4),(50244,8),(50245,7),(50246,3),(50247,8),(50248,7),(50249,1),(50250,6),(50251,7),(50252,2),(50253,2),(50254,2),(50255,5),(50256,6),(50257,8),(50258,6),(50259,1),(50260,6),(50261,7),(50262,9),(50263,7),(50264,4),(50265,3),(50266,9),(50267,3),(50268,3),(50269,1),(50270,6),(50271,8),(50272,1),(50273,8),(50274,2),(50275,3),(50276,3),(50277,8),(50278,2),(50279,3),(50280,7),(50281,9),(50282,9),(50283,2),(50284,6),(50285,2),(50286,6),(50287,2),(50288,2),(50289,6),(50290,2),(50291,3),(50292,6),(50293,9),(50294,2),(50295,6),(50296,5),(50297,9),(50298,3),(50299,1),(50300,7),(50301,5),(50302,7),(50303,8),(50304,1),(50305,7),(50306,7),(50307,1),(50308,2),(50309,7),(50310,2),(50311,3),(50312,7),(50313,5),(50314,2),(50315,3),(50316,7),(50317,2),(50318,1),(50319,8),(50320,9),(50321,2),(50322,2),(50323,8),(50324,7),(50325,9),(50326,8),(50327,2),(50328,7),(50329,9),(50330,1),(50331,1),(50332,4),(50333,4),(50334,2),(50335,3),(50336,2),(50337,4),(50338,9),(50339,9),(50340,1),(50341,9),(50342,6),(50343,1),(50344,7),(50345,1),(50346,6),(50347,7),(50348,6),(50349,2),(50350,9),(50351,7),(50352,9),(50353,8),(50354,5),(50355,3),(50356,4),(50357,5),(50358,6),(50359,3),(50360,4),(50361,4),(50362,5),(50363,6),(50364,4),(50365,6),(50366,9),(50367,4),(50368,5),(50369,7),(50370,6),(50371,1),(50372,3),(50373,4),(50374,5),(50375,6),(50376,2),(50377,2),(50378,9),(50379,2),(50380,3),(50381,1),(50382,9),(50383,8),(50384,5),(50385,6),(50386,7),(50387,5),(50388,2),(50389,3),(50390,3),(50391,8),(50392,1),(50393,5),(50394,9),(50395,8),(50396,5),(50397,7),(50398,3),(50399,2),(50400,1),(50401,9),(50402,4),(50403,1),(50404,3),(50405,9),(50406,6),(50407,7),(50408,8),(50409,7),(50410,5),(50411,3),(50412,6),(50413,8),(50414,4),(50415,1),(50416,6),(50417,7),(50418,6),(50419,7),(50420,5),(50421,9),(50422,6),(50423,5),(50424,1),(50425,1),(50426,5),(50427,5),(50428,9),(50429,6),(50430,7),(50431,9),(50432,5),(50433,3),(50434,6),(50435,1),(50436,7),(50437,2),(50438,8),(50439,6),(50440,6),(50441,5),(50442,2),(50443,6),(50444,3),(50445,4),(50446,7),(50447,4),(50448,9),(50449,9),(50450,4),(50451,9),(50452,7),(50453,3),(50454,8),(50455,2),(50456,9),(50457,4),(50458,7),(50459,9),(50460,9),(50461,5),(50462,4),(50463,8),(50464,2),(50465,3),(50466,3),(50467,2),(50468,4),(50469,1),(50470,6),(50471,6),(50472,9),(50473,6),(50474,5),(50475,4),(50476,3),(50477,2),(50478,9),(50479,3),(50480,1),(50481,5),(50482,8),(50483,5),(50484,8),(50485,9),(50486,4),(50487,6),(50488,7),(50489,9),(50490,9),(50491,8),(50492,5),(50493,8),(50494,3),(50495,6),(50496,2),(50497,6),(50498,5),(50499,3),(50500,4),(50501,7),(50502,1),(50503,4),(50504,6),(50505,6),(50506,4),(50507,3),(50508,8),(50509,8),(50510,8),(50511,4),(50512,5),(50513,6),(50514,3),(50515,5),(50516,3),(50517,4),(50518,5),(50519,7),(50520,2),(50521,7),(50522,4),(50523,9),(50524,3),(50525,4),(50526,7),(50527,4),(50528,2),(50529,6),(50530,4),(50531,4),(50532,4),(50533,9),(50534,8),(50535,5),(50536,1),(50537,8),(50538,1),(50539,6),(50540,9),(50541,6),(50542,1),(50543,8),(50544,6),(50545,9),(50546,5),(50547,7),(50548,7),(50549,4),(50550,5),(50551,2),(50552,5),(50553,8),(50554,3),(50555,9),(50556,5),(50557,5),(50558,5),(50559,7),(50560,5),(50561,1),(50562,3),(50563,2),(50564,6),(50565,1),(50566,2),(50567,1),(50568,5),(50569,3),(50570,1),(50571,6),(50572,2),(50573,3),(50574,7),(50575,4),(50576,4),(50577,1),(50578,2),(50579,3),(50580,1),(50581,4),(50582,3),(50583,9),(50584,4),(50585,1),(50586,4),(50587,9),(50588,3),(50589,9),(50590,2),(50591,1),(50592,1),(50593,7),(50594,6),(50595,9),(50596,5),(50597,2),(50598,8),(50599,5),(50600,4),(50601,8),(50602,1),(50603,7),(50604,9),(50605,5),(50606,1),(50607,6),(50608,8),(50609,6),(50610,9),(50611,1),(50612,1),(50613,1),(50614,2),(50615,2),(50616,4),(50617,6),(50618,2),(50619,2),(50620,6),(50621,6),(50622,4),(50623,5),(50624,1),(50625,8),(50626,3),(50627,2),(50628,2),(50629,8),(50630,8),(50631,1),(50632,8),(50633,3),(50634,2),(50635,3),(50636,9),(50637,5),(50638,6),(50639,4),(50640,1),(50641,6),(50642,5),(50643,1),(50644,3),(50645,2),(50646,4),(50647,5),(50648,7),(50649,4),(50650,8),(50651,6),(50652,8),(50653,2),(50654,6),(50655,6),(50656,6),(50657,4),(50658,6),(50659,6),(50660,7),(50661,3),(50662,9),(50663,1),(50664,4),(50665,5),(50666,6),(50667,6),(50668,4),(50669,1),(50670,3),(50671,5),(50672,8),(50673,5),(50674,4),(50675,4),(50676,5),(50677,6),(50678,6),(50679,7),(50680,7),(50681,6),(50682,1),(50683,6),(50684,9),(50685,7),(50686,3),(50687,4),(50688,7),(50689,2),(50690,9),(50691,2),(50692,6),(50693,6),(50694,1),(50695,2),(50696,4),(50697,3),(50698,9),(50699,7),(50700,5),(50701,7),(50702,6),(50703,7),(50704,8),(50705,1),(50706,7),(50707,5),(50708,1),(50709,1),(50710,2),(50711,7),(50712,6),(50713,2),(50714,7),(50715,6),(50716,1),(50717,7),(50718,3),(50719,3),(50720,3),(50721,1),(50722,6),(50723,9),(50724,9),(50725,9),(50726,8),(50727,1),(50728,4),(50729,5),(50730,8),(50731,6),(50732,7),(50733,6),(50734,8),(50735,6),(50736,8),(50737,7),(50738,2),(50739,7),(50740,7),(50741,6),(50742,3),(50743,2),(50744,4),(50745,5),(50746,1),(50747,2),(50748,4),(50749,1),(50750,1),(50751,6),(50752,6),(50753,2),(50754,6),(50755,5),(50756,3),(50757,5),(50758,3),(50759,1),(50760,6),(50761,9),(50762,2),(50763,1),(50764,3),(50765,7),(50766,4),(50767,6),(50768,3),(50769,3),(50770,5),(50771,9),(50772,3),(50773,2),(50774,7),(50775,5),(50776,9),(50777,4),(50778,5),(50779,7),(50780,1),(50781,1),(50782,5),(50783,5),(50784,2),(50785,1),(50786,7),(50787,3),(50788,2),(50789,6),(50790,7),(50791,7),(50792,6),(50793,3),(50794,4),(50795,8),(50796,6),(50797,9),(50798,8),(50799,3),(50800,8),(50801,8),(50802,2),(50803,8),(50804,2),(50805,8),(50806,5),(50807,1),(50808,1),(50809,3),(50810,7),(50811,4),(50812,2),(50813,2),(50814,2),(50815,8),(50816,1),(50817,2),(50818,1),(50819,2),(50820,7),(50821,5),(50822,6),(50823,6),(50824,8),(50825,3),(50826,4),(50827,2),(50828,6),(50829,6),(50830,9),(50831,2),(50832,6),(50833,4),(50834,4),(50835,8),(50836,7),(50837,2),(50838,5),(50839,4),(50840,7),(50841,8),(50842,7),(50843,3),(50844,5),(50845,2),(50846,2),(50847,9),(50848,7),(50849,6),(50850,1),(50851,6),(50852,1),(50853,4),(50854,3),(50855,9),(50856,2),(50857,4),(50858,5),(50859,3),(50860,1),(50861,6),(50862,8),(50863,5),(50864,4),(50865,6),(50866,8),(50867,4),(50868,7),(50869,6),(50870,6),(50871,2),(50872,8),(50873,1),(50874,5),(50875,2),(50876,3),(50877,4),(50878,2),(50879,4),(50880,7),(50881,3),(50882,2),(50883,3),(50884,5),(50885,1),(50886,5),(50887,6),(50888,2),(50889,5),(50890,4),(50891,2),(50892,5),(50893,7),(50894,8),(50895,9),(50896,6),(50897,9),(50898,4),(50899,6),(50900,2),(50901,3),(50902,5),(50903,9),(50904,9),(50905,9),(50906,2),(50907,5),(50908,9),(50909,1),(50910,6),(50911,6),(50912,1),(50913,7),(50914,3),(50915,8),(50916,2),(50917,2),(50918,4),(50919,5),(50920,6),(50921,1),(50922,8),(50923,1),(50924,3),(50925,1),(50926,8),(50927,9),(50928,9),(50929,3),(50930,3),(50931,3),(50932,8),(50933,3),(50934,9),(50935,3),(50936,9),(50937,1),(50938,6),(50939,5),(50940,3),(50941,6),(50942,2),(50943,7),(50944,5),(50945,5),(50946,6),(50947,6),(50948,6),(50949,7),(50950,7),(50951,2),(50952,9),(50953,9),(50954,7),(50955,7),(50956,2),(50957,6),(50958,7),(50959,6),(50960,5),(50961,5),(50962,8),(50963,9),(50964,6),(50965,2),(50966,8),(50967,8),(50968,3),(50969,1),(50970,1),(50971,1),(50972,8),(50973,7),(50974,7),(50975,6),(50976,2),(50977,2),(50978,3),(50979,7),(50980,9),(50981,9),(50982,1),(50983,4),(50984,6),(50985,8),(50986,6),(50987,5),(50988,4),(50989,6),(50990,6),(50991,6),(50992,4),(50993,8),(50994,6),(50995,7),(50996,2),(50997,6),(50998,1),(50999,2),(51000,6),(51001,8),(51002,6),(51003,3),(51004,3),(51005,4),(51006,6),(51007,7),(51008,5),(51009,3),(51010,5),(51011,9),(51012,6),(51013,8),(51014,5),(51015,5),(51016,6),(51017,6),(51018,5),(51019,8),(51020,4),(51021,7),(51022,5),(51023,7),(51024,5),(51025,8),(51026,5),(51027,2),(51028,4),(51029,3),(51030,5),(51031,8),(51032,2),(51033,5),(51034,7),(51035,5),(51036,4),(51037,4),(51038,1),(51039,1),(51040,8),(51041,3),(51042,1),(51043,2),(51044,7),(51045,8),(51046,3),(51047,6),(51048,2),(51049,5),(51050,4),(51051,9),(51052,2),(51053,7),(51054,2),(51055,4),(51056,5),(51057,9),(51058,3),(51059,4),(51060,3),(51061,2),(51062,8),(51063,9),(51064,3),(51065,7),(51066,2),(51067,1),(51068,3),(51069,5),(51070,4),(51071,9),(51072,8),(51073,4),(51074,7),(51075,1),(51076,4),(51077,6),(51078,6),(51079,6),(51080,1),(51081,3),(51082,7),(51083,2),(51084,3),(51085,4),(51086,3),(51087,7),(51088,8),(51089,1),(51090,4),(51091,7),(51092,9),(51093,1),(51094,6),(51095,5),(51096,5),(51097,4),(51098,5),(51099,4),(51100,3),(51101,1),(51102,2),(51103,7),(51104,5),(51105,3),(51106,6),(51107,3),(51108,4),(51109,7),(51110,3),(51111,4),(51112,1),(51113,4),(51114,1),(51115,5),(51116,9),(51117,3),(51118,8),(51119,7),(51120,8),(51121,5),(51122,1),(51123,5),(51124,9),(51125,6),(51126,7),(51127,2),(51128,7),(51129,1),(51130,1),(51131,1),(51132,9),(51133,1),(51134,7),(51135,4),(51136,3),(51137,4),(51138,1),(51139,3),(51140,9),(51141,1),(51142,7),(51143,9),(51144,9),(51145,4),(51146,9),(51147,5),(51148,6),(51149,4),(51150,4),(51151,3),(51152,4),(51153,5),(51154,1),(51155,4),(51156,8),(51157,6),(51158,9),(51159,9),(51160,7),(51161,3),(51162,3),(51163,9),(51164,3),(51165,4),(51166,3),(51167,8),(51168,9),(51169,3),(51170,3),(51171,9),(51172,9),(51173,4),(51174,3),(51175,1),(51176,4),(51177,2),(51178,1),(51179,1),(51180,3),(51181,1),(51182,7),(51183,5),(51184,3),(51185,1),(51186,1),(51187,5),(51188,6),(51189,4),(51190,1),(51191,7),(51192,1),(51193,2),(51194,9),(51195,3),(51196,1),(51197,5),(51198,7),(51199,8),(51200,2),(51201,1),(51202,7),(51203,3),(51204,7),(51205,5),(51206,8),(51207,6),(51208,9),(51209,5),(51210,9),(51211,4),(51212,7),(51213,6),(51214,8),(51215,5),(51216,1),(51217,8),(51218,2),(51219,9),(51220,1),(51221,8),(51222,2),(51223,9),(51224,3),(51225,4),(51226,4),(51227,4),(51228,8),(51229,4),(51230,7),(51231,9),(51232,1),(51233,7),(51234,1),(51235,9),(51236,7),(51237,9),(51238,3),(51239,3),(51240,2),(51241,1),(51242,1),(51243,1),(51244,1),(51245,5),(51246,1),(51247,2),(51248,3),(51249,1),(51250,6),(51251,5),(51252,6),(51253,5),(51254,7),(51255,7),(51256,3),(51257,9),(51258,4),(51259,5),(51260,7),(51261,6),(51262,6),(51263,7),(51264,1),(51265,2),(51266,4),(51267,6),(51268,3),(51269,3),(51270,8),(51271,3),(51272,8),(51273,4),(51274,2),(51275,4),(51276,6),(51277,4),(51278,3),(51279,9),(51280,4),(51281,3),(51282,6),(51283,4),(51284,1),(51285,2),(51286,1),(51287,8),(51288,1),(51289,2),(51290,4),(51291,3),(51292,9),(51293,9),(51294,9),(51295,4),(51296,8),(51297,3),(51298,6),(51299,9),(51300,2),(51301,9),(51302,3),(51303,1),(51304,3),(51305,9),(51306,6),(51307,4),(51308,9),(51309,8),(51310,5),(51311,3),(51312,8),(51313,3),(51314,3),(51315,1),(51316,4),(51317,4),(51318,9),(51319,1),(51320,3),(51321,7),(51322,2),(51323,2),(51324,8),(51325,9),(51326,8),(51327,3),(51328,7),(51329,6),(51330,8),(51331,8),(51332,6),(51333,4),(51334,7),(51335,8),(51336,1),(51337,7),(51338,3),(51339,1),(51340,5),(51341,9),(51342,1),(51343,7),(51344,4),(51345,6),(51346,5),(51347,9),(51348,2),(51349,1),(51350,5),(51351,7),(51352,4),(51353,9),(51354,2),(51355,6),(51356,8),(51357,1),(51358,6),(51359,1),(51360,3),(51361,1),(51362,1),(51363,5),(51364,2),(51365,1),(51366,6),(51367,4),(51368,2),(51369,6),(51370,7),(51371,3),(51372,4),(51373,4),(51374,7),(51375,2),(51376,9),(51377,6),(51378,2),(51379,6),(51380,6),(51381,1),(51382,6),(51383,5),(51384,8),(51385,8),(51386,8),(51387,4),(51388,7),(51389,9),(51390,3),(51391,6),(51392,1),(51393,6),(51394,6),(51395,8),(51396,9),(51397,3),(51398,5),(51399,4),(51400,8),(51401,5),(51402,3),(51403,9),(51404,9),(51405,7),(51406,5),(51407,8),(51408,8),(51409,7),(51410,9),(51411,6),(51412,9),(51413,7),(51414,6),(51415,7),(51416,2),(51417,6),(51418,4),(51419,9),(51420,5),(51421,7),(51422,7),(51423,6),(51424,7),(51425,9),(51426,2),(51427,1),(51428,9),(51429,6),(51430,5),(51431,2),(51432,3),(51433,7),(51434,1),(51435,1),(51436,4),(51437,5),(51438,5),(51439,3),(51440,5),(51441,2),(51442,8),(51443,9),(51444,5),(51445,5),(51446,4),(51447,4),(51448,3),(51449,3),(51450,5),(51451,2),(51452,5),(51453,8),(51454,6),(51455,3),(51456,9),(51457,4),(51458,6),(51459,9),(51460,5),(51461,3),(51462,6),(51463,2),(51464,7),(51465,8),(51466,2),(51467,3),(51468,4),(51469,8),(51470,8),(51471,5),(51472,2),(51473,3),(51474,6),(51475,7),(51476,3),(51477,9),(51478,2),(51479,9),(51480,9),(51481,1),(51482,5),(51483,1),(51484,1),(51485,5),(51486,2),(51487,2),(51488,5),(51489,3),(51490,1),(51491,9),(51492,5),(51493,4),(51494,4),(51495,2),(51496,5),(51497,9),(51498,3),(51499,1),(51500,8),(51501,5),(51502,3),(51503,2),(51504,5),(51505,9),(51506,1),(51507,3),(51508,8),(51509,7),(51510,9),(51511,5),(51512,1),(51513,5),(51514,1),(51515,3),(51516,6),(51517,1),(51518,9),(51519,4),(51520,2),(51521,7),(51522,1),(51523,3),(51524,6),(51525,3),(51526,9),(51527,2),(51528,5),(51529,2),(51530,9),(51531,9),(51532,2),(51533,8),(51534,3),(51535,4),(51536,5),(51537,1),(51538,4),(51539,8),(51540,4),(51541,3),(51542,5),(51543,5),(51544,3),(51545,3),(51546,9),(51547,2),(51548,4),(51549,2),(51550,8),(51551,9),(51552,1),(51553,3),(51554,4),(51555,9),(51556,9),(51557,5),(51558,4),(51559,1),(51560,2),(51561,9),(51562,1),(51563,2),(51564,1),(51565,9),(51566,4),(51567,6),(51568,8),(51569,6),(51570,6),(51571,3),(51572,7),(51573,7),(51574,5),(51575,2),(51576,2),(51577,2),(51578,3),(51579,8),(51580,5),(51581,5),(51582,2),(51583,4),(51584,3),(51585,7),(51586,3),(51587,1),(51588,9),(51589,2),(51590,4),(51591,4),(51592,2),(51593,2),(51594,6),(51595,9),(51596,9),(51597,7),(51598,8),(51599,4),(51600,4),(51601,3),(51602,1),(51603,8),(51604,2),(51605,6),(51606,5),(51607,3),(51608,5),(51609,8),(51610,1),(51611,3),(51612,8),(51613,4),(51614,7),(51615,8),(51616,2),(51617,2),(51618,4),(51619,1),(51620,9),(51621,7),(51622,9),(51623,3),(51624,9),(51625,3),(51626,8),(51627,5),(51628,8),(51629,1),(51630,7),(51631,7),(51632,2),(51633,3),(51634,7),(51635,5),(51636,6),(51637,9),(51638,7),(51639,9),(51640,4),(51641,6),(51642,1),(51643,5),(51644,2),(51645,2),(51646,5),(51647,5),(51648,3),(51649,6),(51650,2),(51651,6),(51652,1),(51653,6),(51654,8),(51655,4),(51656,8),(51657,3),(51658,6),(51659,2),(51660,6),(51661,8),(51662,9),(51663,1),(51664,7),(51665,5),(51666,9),(51667,2),(51668,8),(51669,5),(51670,6),(51671,7),(51672,8),(51673,2),(51674,6),(51675,6),(51676,9),(51677,2),(51678,6),(51679,4),(51680,4),(51681,5),(51682,5),(51683,9),(51684,8),(51685,6),(51686,5),(51687,9),(51688,3),(51689,8),(51690,2),(51691,6),(51692,7),(51693,2),(51694,8),(51695,6),(51696,5),(51697,9),(51698,6),(51699,2),(51700,8),(51701,2),(51702,4),(51703,4),(51704,2),(51705,4),(51706,8),(51707,2),(51708,7),(51709,5),(51710,5),(51711,9),(51712,8),(51713,1),(51714,2),(51715,2),(51716,1),(51717,5),(51718,7),(51719,4),(51720,9),(51721,2),(51722,2),(51723,8),(51724,4),(51725,1),(51726,8),(51727,2),(51728,4),(51729,4),(51730,4),(51731,4),(51732,8),(51733,7),(51734,5),(51735,5),(51736,2),(51737,2),(51738,1),(51739,7),(51740,9),(51741,1),(51742,8),(51743,5),(51744,3),(51745,3),(51746,4),(51747,7),(51748,2),(51749,6),(51750,9),(51751,9),(51752,4),(51753,3),(51754,9),(51755,8),(51756,4),(51757,2),(51758,3),(51759,9),(51760,9),(51761,3),(51762,7),(51763,9),(51764,2),(51765,4),(51766,5),(51767,6),(51768,8),(51769,1),(51770,2),(51771,6),(51772,2),(51773,8),(51774,2),(51775,5),(51776,6),(51777,4),(51778,3),(51779,2),(51780,2),(51781,3),(51782,7),(51783,8),(51784,3),(51785,6),(51786,5),(51787,6),(51788,5),(51789,5),(51790,9),(51791,9),(51792,8),(51793,2),(51794,7),(51795,6),(51796,3),(51797,9),(51798,2),(51799,2),(51800,3),(51801,2),(51802,6),(51803,9),(51804,1),(51805,3),(51806,6),(51807,8),(51808,1),(51809,4),(51810,8),(51811,3),(51812,3),(51813,2),(51814,6),(51815,7),(51816,5),(51817,5),(51818,7),(51819,5),(51820,2),(51821,7),(51822,4),(51823,6),(51824,1),(51825,2),(51826,3),(51827,9),(51828,1),(51829,5),(51830,7),(51831,7),(51832,4),(51833,1),(51834,9),(51835,2),(51836,3),(51837,8),(51838,7),(51839,2),(51840,6),(51841,8),(51842,8),(51843,5),(51844,9),(51845,8),(51846,8),(51847,9),(51848,2),(51849,8),(51850,8),(51851,7),(51852,8),(51853,9),(51854,4),(51855,4),(51856,2),(51857,3),(51858,5),(51859,5),(51860,5),(51861,4),(51862,2),(51863,8),(51864,5),(51865,7),(51866,1),(51867,8),(51868,5),(51869,8),(51870,2),(51871,9),(51872,5),(51873,8),(51874,6),(51875,4),(51876,8),(51877,9),(51878,8),(51879,7),(51880,8),(51881,6),(51882,8),(51883,2),(51884,3),(51885,5),(51886,1),(51887,8),(51888,3),(51889,9),(51890,1),(51891,2),(51892,2),(51893,9),(51894,6),(51895,4),(51896,4),(51897,6),(51898,5),(51899,2),(51900,9),(51901,9),(51902,4),(51903,5),(51904,1),(51905,9),(51906,9),(51907,1),(51908,3),(51909,7),(51910,3),(51911,8),(51912,7),(51913,3),(51914,1),(51915,4),(51916,9),(51917,1),(51918,6),(51919,2),(51920,2),(51921,4),(51922,2),(51923,2),(51924,9),(51925,5),(51926,1),(51927,1),(51928,6),(51929,5),(51930,6),(51931,4),(51932,6),(51933,7),(51934,1),(51935,2),(51936,1),(51937,6),(51938,4),(51939,7),(51940,4),(51941,1),(51942,8),(51943,7),(51944,9),(51945,9),(51946,8),(51947,1),(51948,5),(51949,9),(51950,3),(51951,3),(51952,2),(51953,7),(51954,5),(51955,2),(51956,9),(51957,3),(51958,7),(51959,7),(51960,1),(51961,1),(51962,2),(51963,5),(51964,2),(51965,9),(51966,8),(51967,3),(51968,7),(51969,1),(51970,7),(51971,4),(51972,3),(51973,7),(51974,9),(51975,1),(51976,7),(51977,4),(51978,2),(51979,9),(51980,6),(51981,8),(51982,5),(51983,4),(51984,5),(51985,8),(51986,6),(51987,6),(51988,1),(51989,8),(51990,8),(51991,4),(51992,6),(51993,7),(51994,9),(51995,9),(51996,6),(51997,9),(51998,9),(51999,6),(52000,2),(52001,7),(52002,7),(52003,5),(52004,9),(52005,1),(52006,2),(52007,8),(52008,7),(52009,9),(52010,2),(52011,3),(52012,8),(52013,6),(52014,5),(52015,3),(52016,4),(52017,7),(52018,3),(52019,1),(52020,8),(52021,3),(52022,7),(52023,6),(52024,1),(52025,1),(52026,2),(52027,9),(52028,2),(52029,5),(52030,8),(52031,5),(52032,9),(52033,3),(52034,7),(52035,7),(52036,2),(52037,9),(52038,3),(52039,1),(52040,7),(52041,3),(52042,3),(52043,4),(52044,1),(52045,7),(52046,6),(52047,8),(52048,3),(52049,3),(52050,8),(52051,3),(52052,9),(52053,7),(52054,4),(52055,7),(52056,7),(52057,4),(52058,8),(52059,5),(52060,6),(52061,7),(52062,3),(52063,4),(52064,9),(52065,3),(52066,1),(52067,8),(52068,5),(52069,6),(52070,3),(52071,7),(52072,4),(52073,2),(52074,3),(52075,7),(52076,5),(52077,7),(52078,6),(52079,4),(52080,1),(52081,7),(52082,7),(52083,6),(52084,4),(52085,2),(52086,2),(52087,8),(52088,8),(52089,1),(52090,1),(52091,3),(52092,7),(52093,6),(52094,2),(52095,1),(52096,5),(52097,3),(52098,4),(52099,5),(52100,6),(52101,2),(52102,2),(52103,5),(52104,6),(52105,4),(52106,5),(52107,6),(52108,3),(52109,5),(52110,8),(52111,8),(52112,1),(52113,1),(52114,8),(52115,7),(52116,7),(52117,9),(52118,2),(52119,6),(52120,1),(52121,4),(52122,4),(52123,9),(52124,7),(52125,9),(52126,7),(52127,9),(52128,9),(52129,1),(52130,6),(52131,8),(52132,4),(52133,3),(52134,2),(52135,4),(52136,9),(52137,7),(52138,2),(52139,4),(52140,3),(52141,9),(52142,4),(52143,5),(52144,3),(52145,5),(52146,5),(52147,2),(52148,5),(52149,4),(52150,4),(52151,2),(52152,9),(52153,8),(52154,9),(52155,4),(52156,2),(52157,4),(52158,9),(52159,5),(52160,1),(52161,1),(52162,1),(52163,1),(52164,9),(52165,8),(52166,4),(52167,6),(52168,6),(52169,3),(52170,1),(52171,4),(52172,1),(52173,1),(52174,3),(52175,8),(52176,3),(52177,5),(52178,7),(52179,6),(52180,3),(52181,3),(52182,7),(52183,9),(52184,1),(52185,3),(52186,5),(52187,9),(52188,5),(52189,9),(52190,8),(52191,1),(52192,9),(52193,9),(52194,5),(52195,8),(52196,8),(52197,1),(52198,7),(52199,8),(52200,9),(52201,4),(52202,7),(52203,4),(52204,4),(52205,9),(52206,9),(52207,8),(52208,8),(52209,4),(52210,1),(52211,5),(52212,8),(52213,7),(52214,1),(52215,1),(52216,7),(52217,3),(52218,2),(52219,8),(52220,6),(52221,9),(52222,7),(52223,2),(52224,2),(52225,7),(52226,5),(52227,9),(52228,6),(52229,2),(52230,4),(52231,8),(52232,7),(52233,3),(52234,4),(52235,1),(52236,8),(52237,9),(52238,6),(52239,2),(52240,7),(52241,8),(52242,6),(52243,3),(52244,5),(52245,5),(52246,6),(52247,8),(52248,8),(52249,3),(52250,6),(52251,6),(52252,7),(52253,7),(52254,4),(52255,7),(52256,3),(52257,2),(52258,1),(52259,1),(52260,5),(52261,2),(52262,6),(52263,7),(52264,1),(52265,2),(52266,8),(52267,8),(52268,4),(52269,3),(52270,1),(52271,1),(52272,5),(52273,9),(52274,7),(52275,6),(52276,6),(52277,9),(52278,3),(52279,9),(52280,5),(52281,8),(52282,4),(52283,7),(52284,8),(52285,8),(52286,2),(52287,5),(52288,2),(52289,6),(52290,4),(52291,2),(52292,3),(52293,9),(52294,8),(52295,2),(52296,3),(52297,2),(52298,1),(52299,4),(52300,9),(52301,6),(52302,3),(52303,4),(52304,1),(52305,3),(52306,5),(52307,1),(52308,6),(52309,3),(52310,8),(52311,7),(52312,5),(52313,6),(52314,4),(52315,7),(52316,7),(52317,1),(52318,1),(52319,8),(52320,3),(52321,2),(52322,9),(52323,4),(52324,7),(52325,9),(52326,6),(52327,7),(52328,5),(52329,8),(52330,1),(52331,5),(52332,9),(52333,3),(52334,5),(52335,4),(52336,3),(52337,5),(52338,7),(52339,5),(52340,3),(52341,3),(52342,5),(52343,8),(52344,6),(52345,4),(52346,2),(52347,4),(52348,9),(52349,6),(52350,9),(52351,7),(52352,3),(52353,8),(52354,5),(52355,1),(52356,6),(52357,7),(52358,5),(52359,4),(52360,4),(52361,6),(52362,7),(52363,9),(52364,5),(52365,6),(52366,9),(52367,9),(52368,4),(52369,4),(52370,3),(52371,3),(52372,6),(52373,4),(52374,2),(52375,9),(52376,6),(52377,6),(52378,8),(52379,3),(52380,5),(52381,2),(52382,2),(52383,5),(52384,6),(52385,1),(52386,2),(52387,6),(52388,6),(52389,7),(52390,2),(52391,1),(52392,3),(52393,5),(52394,1),(52395,4),(52396,5),(52397,5),(52398,5),(52399,4),(52400,2),(52401,7),(52402,9),(52403,7),(52404,9),(52405,7),(52406,6),(52407,7),(52408,5),(52409,6),(52410,3),(52411,2),(52412,2),(52413,8),(52414,9),(52415,6),(52416,3),(52417,3),(52418,4),(52419,8),(52420,4),(52421,2),(52422,2),(52423,9),(52424,6),(52425,6),(52426,7),(52427,2),(52428,5),(52429,4),(52430,8),(52431,1),(52432,8),(52433,3),(52434,2),(52435,4),(52436,6),(52437,4),(52438,1),(52439,3),(52440,4),(52441,6),(52442,4),(52443,9),(52444,3),(52445,8),(52446,9),(52447,2),(52448,5),(52449,4),(52450,7),(52451,3),(52452,1),(52453,4),(52454,9),(52455,1),(52456,2),(52457,4),(52458,8),(52459,5),(52460,7),(52461,1),(52462,5),(52463,5),(52464,4),(52465,4),(52466,7),(52467,7),(52468,7),(52469,1),(52470,5),(52471,7),(52472,1),(52473,5),(52474,6),(52475,2),(52476,5),(52477,9),(52478,9),(52479,4),(52480,3),(52481,9),(52482,9),(52483,6),(52484,6),(52485,9),(52486,1),(52487,3),(52488,9),(52489,9),(52490,5),(52491,8),(52492,5),(52493,4),(52494,8),(52495,5),(52496,9),(52497,6),(52498,9),(52499,2),(52500,3),(52501,9),(52502,8),(52503,5),(52504,7),(52505,1),(52506,9),(52507,9),(52508,8),(52509,2),(52510,4),(52511,5),(52512,8),(52513,4),(52514,3),(52515,3),(52516,2),(52517,7),(52518,9),(52519,8),(52520,6),(52521,1),(52522,7),(52523,5),(52524,8),(52525,5),(52526,3),(52527,6),(52528,3),(52529,7),(52530,8),(52531,7),(52532,4),(52533,5),(52534,9),(52535,3),(52536,5),(52537,6),(52538,3),(52539,4),(52540,3),(52541,1),(52542,3),(52543,8),(52544,3),(52545,4),(52546,3),(52547,7),(52548,9),(52549,2),(52550,3),(52551,3),(52552,3),(52553,1),(52554,6),(52555,1),(52556,5),(52557,3),(52558,3),(52559,7),(52560,2),(52561,5),(52562,4),(52563,3),(52564,5),(52565,7),(52566,5),(52567,8),(52568,6),(52569,6),(52570,5),(52571,4),(52572,3),(52573,8),(52574,6),(52575,3),(52576,5),(52577,9),(52578,5),(52579,8),(52580,7),(52581,4),(52582,4),(52583,9),(52584,7),(52585,6),(52586,5),(52587,3),(52588,6),(52589,7),(52590,9),(52591,6),(52592,4),(52593,2),(52594,3),(52595,9),(52596,6),(52597,3),(52598,8),(52599,9),(52600,1),(52601,4),(52602,8),(52603,4),(52604,4),(52605,7),(52606,8),(52607,9),(52608,6),(52609,8),(52610,3),(52611,1),(52612,7),(52613,5),(52614,9),(52615,6),(52616,2),(52617,1),(52618,9),(52619,7),(52620,9),(52621,7),(52622,4),(52623,3),(52624,1),(52625,4),(52626,5),(52627,2),(52628,7),(52629,6),(52630,4),(52631,3),(52632,6),(52633,6),(52634,2),(52635,3),(52636,1),(52637,1),(52638,3),(52639,2),(52640,9),(52641,6),(52642,4),(52643,5),(52644,4),(52645,8),(52646,5),(52647,9),(52648,5),(52649,2),(52650,8),(52651,5),(52652,2),(52653,6),(52654,8),(52655,3),(52656,1),(52657,6),(52658,7),(52659,3),(52660,9),(52661,4),(52662,1),(52663,6),(52664,5),(52665,3),(52666,8),(52667,4),(52668,7),(52669,6),(52670,2),(52671,4),(52672,1),(52673,3),(52674,4),(52675,4),(52676,1),(52677,2),(52678,2),(52679,5),(52680,6),(52681,6),(52682,5),(52683,3),(52684,6),(52685,6),(52686,7),(52687,6),(52688,5),(52689,3),(52690,4),(52691,9),(52692,9),(52693,7),(52694,1),(52695,2),(52696,1),(52697,6),(52698,8),(52699,4),(52700,3),(52701,4),(52702,1),(52703,8),(52704,4),(52705,9),(52706,1),(52707,7),(52708,8),(52709,1),(52710,1),(52711,2),(52712,4),(52713,2),(52714,9),(52715,9),(52716,2),(52717,4),(52718,4),(52719,7),(52720,5),(52721,3),(52722,3),(52723,4),(52724,5),(52725,3),(52726,9),(52727,1),(52728,4),(52729,8),(52730,9),(52731,3),(52732,8),(52733,3),(52734,4),(52735,8),(52736,3),(52737,3),(52738,1),(52739,8),(52740,5),(52741,6),(52742,9),(52743,2),(52744,2),(52745,8),(52746,9),(52747,9),(52748,5),(52749,5),(52750,9),(52751,2),(52752,5),(52753,5),(52754,5),(52755,9),(52756,6),(52757,3),(52758,8),(52759,8),(52760,6),(52761,6),(52762,3),(52763,6),(52764,6),(52765,5),(52766,5),(52767,8),(52768,1),(52769,5),(52770,2),(52771,3),(52772,7),(52773,4),(52774,2),(52775,8),(52776,7),(52777,8),(52778,7),(52779,4),(52780,4),(52781,4),(52782,6),(52783,6),(52784,5),(52785,5),(52786,4),(52787,9),(52788,4),(52789,1),(52790,6),(52791,7),(52792,3),(52793,5),(52794,1),(52795,7),(52796,4),(52797,7),(52798,4),(52799,7),(52800,9),(52801,2),(52802,5),(52803,1),(52804,4),(52805,6),(52806,1),(52807,3),(52808,2),(52809,9),(52810,8),(52811,8),(52812,4),(52813,3),(52814,1),(52815,3),(52816,3),(52817,8),(52818,3),(52819,5),(52820,7),(52821,4),(52822,1),(52823,1),(52824,8),(52825,3),(52826,7),(52827,7),(52828,6),(52829,6),(52830,4),(52831,8),(52832,7),(52833,2),(52834,9),(52835,9),(52836,1),(52837,1),(52838,8),(52839,3),(52840,8),(52841,9),(52842,7),(52843,5),(52844,8),(52845,7),(52846,9),(52847,7),(52848,9),(52849,8),(52850,1),(52851,8),(52852,9),(52853,9),(52854,2),(52855,6),(52856,2),(52857,5),(52858,6),(52859,1),(52860,5),(52861,1),(52862,7),(52863,6),(52864,4),(52865,9),(52866,3),(52867,3),(52868,2),(52869,6),(52870,5),(52871,8),(52872,9),(52873,8),(52874,9),(52875,3),(52876,6),(52877,6),(52878,4),(52879,1),(52880,4),(52881,9),(52882,4),(52883,6),(52884,4),(52885,8),(52886,8),(52887,5),(52888,1),(52889,3),(52890,3),(52891,7),(52892,1),(52893,2),(52894,6),(52895,5),(52896,3),(52897,7),(52898,8),(52899,4),(52900,9),(52901,7),(52902,6),(52903,1),(52904,9),(52905,7),(52906,7),(52907,3),(52908,5),(52909,5),(52910,9),(52911,4),(52912,7),(52913,9),(52914,9),(52915,8),(52916,1),(52917,7),(52918,4),(52919,8),(52920,3),(52921,3),(52922,4),(52923,6),(52924,5),(52925,4),(52926,5),(52927,4),(52928,7),(52929,4),(52930,1),(52931,7),(52932,8),(52933,5),(52934,5),(52935,9),(52936,9),(52937,4),(52938,6),(52939,8),(52940,7),(52941,8),(52942,7),(52943,7),(52944,4),(52945,5),(52946,6),(52947,2),(52948,7),(52949,2),(52950,8),(52951,6),(52952,2),(52953,1),(52954,4),(52955,9),(52956,1),(52957,1),(52958,8),(52959,8),(52960,6),(52961,3),(52962,7),(52963,9),(52964,4),(52965,7),(52966,9),(52967,2),(52968,4),(52969,7),(52970,3),(52971,9),(52972,4),(52973,4),(52974,6),(52975,5),(52976,3),(52977,9),(52978,7),(52979,8),(52980,4),(52981,7),(52982,2),(52983,7),(52984,3),(52985,6),(52986,6),(52987,6),(52988,2),(52989,2),(52990,8),(52991,1),(52992,8),(52993,4),(52994,9),(52995,3),(52996,9),(52997,1),(52998,9),(52999,4),(53000,1),(53001,5),(53002,3),(53003,8),(53004,6),(53005,2),(53006,9),(53007,1),(53008,6),(53009,1),(53010,5),(53011,6),(53012,2),(53013,8),(53014,6),(53015,8),(53016,5),(53017,7),(53018,3),(53019,6),(53020,5),(53021,9),(53022,9),(53023,8),(53024,6),(53025,9),(53026,2),(53027,6),(53028,1),(53029,6),(53030,3),(53031,1),(53032,4),(53033,6),(53034,6),(53035,7),(53036,6),(53037,9),(53038,7),(53039,6),(53040,1),(53041,6),(53042,3),(53043,4),(53044,6),(53045,4),(53046,6),(53047,7),(53048,7),(53049,7),(53050,6),(53051,2),(53052,8),(53053,6),(53054,4),(53055,5),(53056,1),(53057,9),(53058,3),(53059,5),(53060,1),(53061,4),(53062,1),(53063,4),(53064,9),(53065,2),(53066,9),(53067,2),(53068,4),(53069,3),(53070,7),(53071,8),(53072,5),(53073,1),(53074,9),(53075,7),(53076,7),(53077,2),(53078,7),(53079,5),(53080,6),(53081,5),(53082,5),(53083,3),(53084,7),(53085,3),(53086,2),(53087,1),(53088,2),(53089,8),(53090,1),(53091,9),(53092,1),(53093,1),(53094,4),(53095,9),(53096,3),(53097,5),(53098,5),(53099,2),(53100,4),(53101,8),(53102,9),(53103,1),(53104,2),(53105,2),(53106,4),(53107,5),(53108,5),(53109,6),(53110,2),(53111,6),(53112,6),(53113,2),(53114,9),(53115,3),(53116,4),(53117,9),(53118,7),(53119,2),(53120,6),(53121,2),(53122,3),(53123,8),(53124,5),(53125,2),(53126,2),(53127,6),(53128,7),(53129,1),(53130,2),(53131,6),(53132,4),(53133,6),(53134,6),(53135,7),(53136,6),(53137,1),(53138,5),(53139,9),(53140,5),(53141,9),(53142,2),(53143,7),(53144,4),(53145,1),(53146,1),(53147,5),(53148,3),(53149,5),(53150,2),(53151,7),(53152,7),(53153,2),(53154,4),(53155,2),(53156,1),(53157,9),(53158,3),(53159,3),(53160,6),(53161,8),(53162,1),(53163,3),(53164,6),(53165,2),(53166,9),(53167,7),(53168,5),(53169,9),(53170,8),(53171,6),(53172,6),(53173,6),(53174,3),(53175,3),(53176,6),(53177,3),(53178,4),(53179,9),(53180,1),(53181,1),(53182,8),(53183,8),(53184,6),(53185,5),(53186,5),(53187,4),(53188,5),(53189,2),(53190,4),(53191,4),(53192,1),(53193,8),(53194,1),(53195,6),(53196,1),(53197,7),(53198,9),(53199,1),(53200,3),(53201,6),(53202,8),(53203,5),(53204,9),(53205,5),(53206,2),(53207,7),(53208,6),(53209,1),(53210,9),(53211,1),(53212,7),(53213,6),(53214,8),(53215,8),(53216,3),(53217,5),(53218,3),(53219,5),(53220,2),(53221,4),(53222,2),(53223,4),(53224,8),(53225,2),(53226,2),(53227,8),(53228,6),(53229,1),(53230,7),(53231,9),(53232,6),(53233,4),(53234,5),(53235,9),(53236,1),(53237,2),(53238,9),(53239,8),(53240,7),(53241,9),(53242,7),(53243,2),(53244,8),(53245,5),(53246,7),(53247,5),(53248,1),(53249,8),(53250,1),(53251,1),(53252,7),(53253,5),(53254,4),(53255,6),(53256,6),(53257,5),(53258,8),(53259,9),(53260,5),(53261,7),(53262,1),(53263,7),(53264,9),(53265,7),(53266,3),(53267,6),(53268,5),(53269,2),(53270,7),(53271,8),(53272,9),(53273,8),(53274,2),(53275,6),(53276,4),(53277,1),(53278,7),(53279,9),(53280,7),(53281,9),(53282,4),(53283,1),(53284,8),(53285,4),(53286,1),(53287,5),(53288,6),(53289,6),(53290,8),(53291,6),(53292,4),(53293,7),(53294,1),(53295,2),(53296,5),(53297,4),(53298,8),(53299,8),(53300,1),(53301,3),(53302,2),(53303,1),(53304,5),(53305,8),(53306,8),(53307,5),(53308,1),(53309,7),(53310,7),(53311,7),(53312,9),(53313,6),(53314,4),(53315,4),(53316,4),(53317,2),(53318,8),(53319,7),(53320,2),(53321,5),(53322,9),(53323,7),(53324,9),(53325,4),(53326,5),(53327,9),(53328,3),(53329,1),(53330,2),(53331,6),(53332,8),(53333,8),(53334,5),(53335,5),(53336,1),(53337,9),(53338,4),(53339,4),(53340,4),(53341,7),(53342,7),(53343,8),(53344,9),(53345,4),(53346,1),(53347,4),(53348,6),(53349,6),(53350,1),(53351,2),(53352,5),(53353,2),(53354,7),(53355,4),(53356,4),(53357,3),(53358,6),(53359,2),(53360,1),(53361,2),(53362,1),(53363,7),(53364,6),(53365,3),(53366,5),(53367,8),(53368,9),(53369,4),(53370,3),(53371,3),(53372,8),(53373,1),(53374,9),(53375,2),(53376,5),(53377,7),(53378,4),(53379,9),(53380,8),(53381,4),(53382,9),(53383,3),(53384,1),(53385,1),(53386,1),(53387,6),(53388,1),(53389,1),(53390,5),(53391,2),(53392,8),(53393,6),(53394,2),(53395,8),(53396,4),(53397,6),(53398,3),(53399,4),(53400,5),(53401,3),(53402,2),(53403,5),(53404,8),(53405,8),(53406,6),(53407,4),(53408,3),(53409,5),(53410,1),(53411,3),(53412,9),(53413,3),(53414,9),(53415,2),(53416,9),(53417,5),(53418,1),(53419,2),(53420,8),(53421,5),(53422,7),(53423,4),(53424,5),(53425,7),(53426,1),(53427,2),(53428,9),(53429,6),(53430,5),(53431,1),(53432,1),(53433,6),(53434,9),(53435,7),(53436,5),(53437,5),(53438,8),(53439,2),(53440,4),(53441,3),(53442,6),(53443,4),(53444,4),(53445,7),(53446,7),(53447,4),(53448,1),(53449,5),(53450,6),(53451,7),(53452,7),(53453,1),(53454,7),(53455,2),(53456,2),(53457,3),(53458,4),(53459,4),(53460,6),(53461,2),(53462,3),(53463,3),(53464,3),(53465,1),(53466,3),(53467,1),(53468,4),(53469,1),(53470,9),(53471,3),(53472,4),(53473,4),(53474,7),(53475,3),(53476,3),(53477,3),(53478,1),(53479,6),(53480,5),(53481,8),(53482,4),(53483,2),(53484,9),(53485,3),(53486,9),(53487,3),(53488,5),(53489,5),(53490,5),(53491,5),(53492,5),(53493,1),(53494,8),(53495,8),(53496,2),(53497,8),(53498,3),(53499,8),(53500,9),(53501,3),(53502,1),(53503,2),(53504,6),(53505,9),(53506,5),(53507,5),(53508,6),(53509,9),(53510,8),(53511,2),(53512,1),(53513,4),(53514,2),(53515,6),(53516,4),(53517,7),(53518,7),(53519,2),(53520,2),(53521,4),(53522,6),(53523,1),(53524,2),(53525,3),(53526,6),(53527,1),(53528,5),(53529,2),(53530,4),(53531,5),(53532,4),(53533,7),(53534,9),(53535,1),(53536,6),(53537,6),(53538,7),(53539,4),(53540,6),(53541,5),(53542,3),(53543,6),(53544,7),(53545,8),(53546,3),(53547,7),(53548,1),(53549,7),(53550,5),(53551,8),(53552,5),(53553,3),(53554,6),(53555,5),(53556,8),(53557,5),(53558,3),(53559,7),(53560,1),(53561,4),(53562,9),(53563,2),(53564,5),(53565,7),(53566,5),(53567,4),(53568,5),(53569,7),(53570,1),(53571,5),(53572,4),(53573,4),(53574,6),(53575,6),(53576,3),(53577,2),(53578,5),(53579,7),(53580,4),(53581,3),(53582,3),(53583,1),(53584,2),(53585,8),(53586,6),(53587,7),(53588,9),(53589,4),(53590,9),(53591,4),(53592,5),(53593,6),(53594,6),(53595,3),(53596,3),(53597,6),(53598,2),(53599,5),(53600,7),(53601,9),(53602,6),(53603,3),(53604,5),(53605,3),(53606,8),(53607,5),(53608,5),(53609,4),(53610,3),(53611,9),(53612,3),(53613,9),(53614,8),(53615,1),(53616,9),(53617,5),(53618,1),(53619,7),(53620,7),(53621,8),(53622,1),(53623,3),(53624,8),(53625,9),(53626,1),(53627,9),(53628,6),(53629,2),(53630,1),(53631,9),(53632,4),(53633,8),(53634,9),(53635,9),(53636,9),(53637,3),(53638,6),(53639,6),(53640,5),(53641,6),(53642,5),(53643,2),(53644,2),(53645,7),(53646,6),(53647,2),(53648,1),(53649,1),(53650,3),(53651,9),(53652,1),(53653,2),(53654,6),(53655,3),(53656,9),(53657,5),(53658,5),(53659,6),(53660,3),(53661,6),(53662,6),(53663,9),(53664,4),(53665,4),(53666,8),(53667,3),(53668,8),(53669,9),(53670,3),(53671,3),(53672,5),(53673,1),(53674,1),(53675,5),(53676,8),(53677,2),(53678,3),(53679,5),(53680,7),(53681,4),(53682,1),(53683,5),(53684,4),(53685,2),(53686,6),(53687,4),(53688,7),(53689,1),(53690,1),(53691,1),(53692,6),(53693,3),(53694,2),(53695,1),(53696,1),(53697,5),(53698,2),(53699,5),(53700,4),(53701,7),(53702,3),(53703,9),(53704,8),(53705,5),(53706,8),(53707,8),(53708,8),(53709,8),(53710,9),(53711,1),(53712,2),(53713,6),(53714,8),(53715,7),(53716,8),(53717,4),(53718,2),(53719,1),(53720,3),(53721,9),(53722,3),(53723,7),(53724,7),(53725,3),(53726,8),(53727,3),(53728,3),(53729,3),(53730,3),(53731,8),(53732,1),(53733,4),(53734,7),(53735,5),(53736,2),(53737,6),(53738,2),(53739,1),(53740,9),(53741,3),(53742,1),(53743,8),(53744,3),(53745,5),(53746,4),(53747,2),(53748,5),(53749,9),(53750,2),(53751,4),(53752,8),(53753,7),(53754,7),(53755,6),(53756,3),(53757,8),(53758,9),(53759,4),(53760,5),(53761,7),(53762,5),(53763,8),(53764,8),(53765,6),(53766,3),(53767,3),(53768,3),(53769,9),(53770,5),(53771,9),(53772,2),(53773,1),(53774,5),(53775,5),(53776,3),(53777,6),(53778,2),(53779,7),(53780,4),(53781,9),(53782,1),(53783,6),(53784,8),(53785,7),(53786,6),(53787,6),(53788,1),(53789,9),(53790,5),(53791,8),(53792,5),(53793,7),(53794,1),(53795,7),(53796,8),(53797,4),(53798,2),(53799,5),(53800,8),(53801,5),(53802,4),(53803,1),(53804,4),(53805,4),(53806,1),(53807,6),(53808,8),(53809,2),(53810,5),(53811,2),(53812,4),(53813,8),(53814,6),(53815,6),(53816,3),(53817,8),(53818,2),(53819,4),(53820,4),(53821,4),(53822,4),(53823,4),(53824,9),(53825,7),(53826,9),(53827,8),(53828,2),(53829,6),(53830,5),(53831,2),(53832,8),(53833,8),(53834,5),(53835,7),(53836,8),(53837,2),(53838,2),(53839,3),(53840,1),(53841,7),(53842,1),(53843,2),(53844,4),(53845,7),(53846,3),(53847,8),(53848,1),(53849,2),(53850,2),(53851,3),(53852,2),(53853,5),(53854,4),(53855,4),(53856,8),(53857,4),(53858,8),(53859,6),(53860,2),(53861,4),(53862,6),(53863,6),(53864,2),(53865,5),(53866,4),(53867,6),(53868,2),(53869,1),(53870,7),(53871,3),(53872,1),(53873,6),(53874,9),(53875,1),(53876,1),(53877,7),(53878,8),(53879,2),(53880,2),(53881,8),(53882,5),(53883,2),(53884,1),(53885,7),(53886,8),(53887,3),(53888,1),(53889,7),(53890,5),(53891,9),(53892,7),(53893,5),(53894,7),(53895,3),(53896,9),(53897,4),(53898,6),(53899,4),(53900,3),(53901,3),(53902,6),(53903,9),(53904,9),(53905,5),(53906,9),(53907,4),(53908,2),(53909,1),(53910,3),(53911,7),(53912,2),(53913,5),(53914,8),(53915,6),(53916,8),(53917,7),(53918,7),(53919,9),(53920,1),(53921,4),(53922,3),(53923,3),(53924,5),(53925,1),(53926,7),(53927,4),(53928,4),(53929,6),(53930,2),(53931,1),(53932,1),(53933,6),(53934,5),(53935,1),(53936,1),(53937,3),(53938,3),(53939,1),(53940,6),(53941,9),(53942,7),(53943,9),(53944,7),(53945,8),(53946,3),(53947,3),(53948,4),(53949,4),(53950,5),(53951,3),(53952,8),(53953,9),(53954,4),(53955,5),(53956,2),(53957,1),(53958,6),(53959,5),(53960,1),(53961,7),(53962,5),(53963,2),(53964,7),(53965,1),(53966,7),(53967,1),(53968,9),(53969,1),(53970,7),(53971,3),(53972,1),(53973,4),(53974,5),(53975,3),(53976,1),(53977,4),(53978,8),(53979,3),(53980,5),(53981,7),(53982,4),(53983,2),(53984,5),(53985,7),(53986,1),(53987,4),(53988,2),(53989,2),(53990,5),(53991,5),(53992,1),(53993,1),(53994,5),(53995,6),(53996,6),(53997,1),(53998,6),(53999,4),(54000,9),(54001,6),(54002,2),(54003,2),(54004,7),(54005,9),(54006,4),(54007,4),(54008,2),(54009,7),(54010,1),(54011,8),(54012,9),(54013,4),(54014,7),(54015,2),(54016,9),(54017,7),(54018,2),(54019,3),(54020,3),(54021,1),(54022,4),(54023,5),(54024,5),(54025,6),(54026,8),(54027,4),(54028,8),(54029,5),(54030,2),(54031,5),(54032,8),(54033,4),(54034,3),(54035,4),(54036,2),(54037,8),(54038,7),(54039,2),(54040,2),(54041,9),(54042,5),(54043,2),(54044,8),(54045,4),(54046,2),(54047,7),(54048,9),(54049,1),(54050,3),(54051,4),(54052,9),(54053,4),(54054,6),(54055,6),(54056,8),(54057,5),(54058,2),(54059,5),(54060,8),(54061,4),(54062,7),(54063,1),(54064,4),(54065,8),(54066,6),(54067,7),(54068,6),(54069,3),(54070,1),(54071,1),(54072,4),(54073,3),(54074,1),(54075,3),(54076,2),(54077,6),(54078,7),(54079,3),(54080,6),(54081,5),(54082,7),(54083,1),(54084,1),(54085,4),(54086,7),(54087,7),(54088,4),(54089,1),(54090,4),(54091,6),(54092,5),(54093,7),(54094,2),(54095,1),(54096,5),(54097,3),(54098,3),(54099,8),(54100,4),(54101,5),(54102,3),(54103,8),(54104,1),(54105,2),(54106,2),(54107,1),(54108,2),(54109,3),(54110,2),(54111,4),(54112,9),(54113,9),(54114,7),(54115,8),(54116,3),(54117,3),(54118,2),(54119,2),(54120,8),(54121,2),(54122,9),(54123,3),(54124,3),(54125,1),(54126,3),(54127,1),(54128,7),(54129,3),(54130,6),(54131,8),(54132,7),(54133,4),(54134,8),(54135,1),(54136,1),(54137,7),(54138,5),(54139,1),(54140,1),(54141,7),(54142,1),(54143,9),(54144,6),(54145,8),(54146,8),(54147,8),(54148,2),(54149,9),(54150,3),(54151,7),(54152,1),(54153,4),(54154,1),(54155,8),(54156,4),(54157,4),(54158,5),(54159,5),(54160,5),(54161,9),(54162,5),(54163,4),(54164,3),(54165,2),(54166,7),(54167,1),(54168,8),(54169,1),(54170,1),(54171,6),(54172,2),(54173,6),(54174,3),(54175,4),(54176,1),(54177,7),(54178,2),(54179,6),(54180,6),(54181,2),(54182,5),(54183,2),(54184,5),(54185,3),(54186,7),(54187,9),(54188,7),(54189,7),(54190,9),(54191,2),(54192,4),(54193,1),(54194,9),(54195,1),(54196,8),(54197,6),(54198,3),(54199,8),(54200,1),(54201,9),(54202,5),(54203,6),(54204,3),(54205,3),(54206,3),(54207,6),(54208,1),(54209,8),(54210,9),(54211,8),(54212,2),(54213,2),(54214,6),(54215,5),(54216,9),(54217,4),(54218,3),(54219,3),(54220,3),(54221,7),(54222,5),(54223,6),(54224,8),(54225,7),(54226,4),(54227,7),(54228,4),(54229,3),(54230,1),(54231,5),(54232,5),(54233,4),(54234,6),(54235,5),(54236,4),(54237,6),(54238,3),(54239,5),(54240,5),(54241,9),(54242,8),(54243,5),(54244,2),(54245,7),(54246,1),(54247,4),(54248,6),(54249,6),(54250,9),(54251,4),(54252,1),(54253,4),(54254,8),(54255,4),(54256,1),(54257,6),(54258,5),(54259,6),(54260,4),(54261,8),(54262,4),(54263,5),(54264,2),(54265,5),(54266,7),(54267,7),(54268,4),(54269,7),(54270,9),(54271,2),(54272,1),(54273,6),(54274,2),(54275,8),(54276,4),(54277,6),(54278,1),(54279,6),(54280,8),(54281,6),(54282,4),(54283,5),(54284,4),(54285,4),(54286,7),(54287,5),(54288,7),(54289,3),(54290,2),(54291,8),(54292,7),(54293,3),(54294,2),(54295,1),(54296,7),(54297,7),(54298,9),(54299,8),(54300,9),(54301,1),(54302,3),(54303,9),(54304,1),(54305,8),(54306,7),(54307,2),(54308,5),(54309,1),(54310,2),(54311,2),(54312,3),(54313,3),(54314,4),(54315,8),(54316,6),(54317,1),(54318,4),(54319,6),(54320,9),(54321,8),(54322,2),(54323,6),(54324,8),(54325,6),(54326,2),(54327,1),(54328,9),(54329,3),(54330,3),(54331,6),(54332,1),(54333,4),(54334,5),(54335,5),(54336,3),(54337,6),(54338,7),(54339,8),(54340,5),(54341,8),(54342,7),(54343,1),(54344,1),(54345,8),(54346,3),(54347,2),(54348,1),(54349,2),(54350,6),(54351,3),(54352,9),(54353,1),(54354,4),(54355,5),(54356,5),(54357,6),(54358,9),(54359,7),(54360,5),(54361,2),(54362,5),(54363,2),(54364,5),(54365,6),(54366,4),(54367,4),(54368,2),(54369,3),(54370,7),(54371,1),(54372,2),(54373,6),(54374,7),(54375,3),(54376,9),(54377,2),(54378,5),(54379,7),(54380,3),(54381,3),(54382,9),(54383,9),(54384,1),(54385,6),(54386,1),(54387,2),(54388,5),(54389,9),(54390,7),(54391,9),(54392,1),(54393,2),(54394,4),(54395,7),(54396,8),(54397,8),(54398,2),(54399,3),(54400,5),(54401,9),(54402,6),(54403,6),(54404,9),(54405,9),(54406,5),(54407,3),(54408,8),(54409,8),(54410,5),(54411,6),(54412,7),(54413,9),(54414,2),(54415,5),(54416,4),(54417,1),(54418,3),(54419,2),(54420,8),(54421,6),(54422,3),(54423,9),(54424,4),(54425,6),(54426,9),(54427,7),(54428,3),(54429,4),(54430,6),(54431,8),(54432,1),(54433,8),(54434,1),(54435,3),(54436,5),(54437,6),(54438,4),(54439,5),(54440,9),(54441,5),(54442,3),(54443,4),(54444,5),(54445,4),(54446,5),(54447,3),(54448,9),(54449,8),(54450,1),(54451,3),(54452,9),(54453,9),(54454,3),(54455,9),(54456,5),(54457,2),(54458,3),(54459,5),(54460,8),(54461,3),(54462,7),(54463,1),(54464,2),(54465,2),(54466,9),(54467,6),(54468,3),(54469,4),(54470,6),(54471,3),(54472,8),(54473,8),(54474,6),(54475,9),(54476,7),(54477,1),(54478,2),(54479,4),(54480,9),(54481,5),(54482,6),(54483,3),(54484,8),(54485,5),(54486,1),(54487,5),(54488,2),(54489,5),(54490,2),(54491,5),(54492,3),(54493,6),(54494,1),(54495,4),(54496,3),(54497,9),(54498,8),(54499,5),(54500,3),(54501,5),(54502,8),(54503,1),(54504,4),(54505,4),(54506,6),(54507,7),(54508,3),(54509,1),(54510,2),(54511,1),(54512,8),(54513,7),(54514,3),(54515,4),(54516,9),(54517,3),(54518,2),(54519,6),(54520,6),(54521,2),(54522,5),(54523,1),(54524,3),(54525,3),(54526,8),(54527,4),(54528,1),(54529,7),(54530,2),(54531,1),(54532,5),(54533,3),(54534,7),(54535,6),(54536,1),(54537,6),(54538,9),(54539,4),(54540,6),(54541,1),(54542,8),(54543,6),(54544,8),(54545,9),(54546,7),(54547,9),(54548,3),(54549,7),(54550,9),(54551,2),(54552,2),(54553,1),(54554,1),(54555,6),(54556,8),(54557,6),(54558,2),(54559,9),(54560,6),(54561,6),(54562,7),(54563,5),(54564,9),(54565,7),(54566,3),(54567,4),(54568,9),(54569,4),(54570,9),(54571,5),(54572,3),(54573,3),(54574,1),(54575,2),(54576,7),(54577,2),(54578,6),(54579,5),(54580,2),(54581,2),(54582,9),(54583,9),(54584,1),(54585,7),(54586,6),(54587,9),(54588,9),(54589,1),(54590,5),(54591,4),(54592,2),(54593,7),(54594,9),(54595,6),(54596,4),(54597,1),(54598,3),(54599,2),(54600,7),(54601,5),(54602,4),(54603,1),(54604,7),(54605,7),(54606,8),(54607,5),(54608,2),(54609,8),(54610,2),(54611,9),(54612,1),(54613,9),(54614,6),(54615,9),(54616,5),(54617,3),(54618,5),(54619,5),(54620,8),(54621,5),(54622,2),(54623,4),(54624,1),(54625,3),(54626,6),(54627,1),(54628,8),(54629,8),(54630,3),(54631,8),(54632,9),(54633,5),(54634,8),(54635,8),(54636,5),(54637,3),(54638,6),(54639,6),(54640,4),(54641,9),(54642,2),(54643,2),(54644,3),(54645,6),(54646,7),(54647,3),(54648,2),(54649,4),(54650,6),(54651,1),(54652,5),(54653,6),(54654,3),(54655,7),(54656,2),(54657,6),(54658,1),(54659,2),(54660,5),(54661,9),(54662,4),(54663,2),(54664,1),(54665,1),(54666,5),(54667,7),(54668,1),(54669,2),(54670,7),(54671,6),(54672,3),(54673,5),(54674,9),(54675,2),(54676,8),(54677,8),(54678,3),(54679,6),(54680,2),(54681,2),(54682,4),(54683,7),(54684,2),(54685,2),(54686,1),(54687,9),(54688,2),(54689,1),(54690,1),(54691,1),(54692,5),(54693,8),(54694,6),(54695,7),(54696,9),(54697,5),(54698,8),(54699,5),(54700,3),(54701,2),(54702,1),(54703,9),(54704,1),(54705,4),(54706,5),(54707,4),(54708,7),(54709,2),(54710,9),(54711,4),(54712,4),(54713,9),(54714,5),(54715,8),(54716,3),(54717,5),(54718,4),(54719,7),(54720,9),(54721,4),(54722,2),(54723,1),(54724,9),(54725,1),(54726,1),(54727,6),(54728,9),(54729,1),(54730,9),(54731,3),(54732,4),(54733,6),(54734,6),(54735,3),(54736,9),(54737,3),(54738,7),(54739,9),(54740,6),(54741,8),(54742,3),(54743,6),(54744,8),(54745,6),(54746,6),(54747,2),(54748,8),(54749,5),(54750,8),(54751,5),(54752,6),(54753,3),(54754,6),(54755,9),(54756,5),(54757,5),(54758,1),(54759,7),(54760,5),(54761,4),(54762,7),(54763,4),(54764,6),(54765,4),(54766,2),(54767,5),(54768,8),(54769,3),(54770,4),(54771,5),(54772,3),(54773,2),(54774,8),(54775,1),(54776,7),(54777,2),(54778,8),(54779,2),(54780,9),(54781,2),(54782,6),(54783,1),(54784,5),(54785,3),(54786,5),(54787,5),(54788,3),(54789,2),(54790,9),(54791,1),(54792,7),(54793,9),(54794,4),(54795,2),(54796,8),(54797,5),(54798,5),(54799,9),(54800,4),(54801,1),(54802,1),(54803,9),(54804,8),(54805,4),(54806,1),(54807,1),(54808,7),(54809,3),(54810,8),(54811,9),(54812,9),(54813,1),(54814,6),(54815,7),(54816,3),(54817,8),(54818,6),(54819,5),(54820,2),(54821,3),(54822,6),(54823,5),(54824,3),(54825,9),(54826,4),(54827,4),(54828,5),(54829,9),(54830,2),(54831,4),(54832,8),(54833,5),(54834,8),(54835,1),(54836,7),(54837,9),(54838,2),(54839,3),(54840,8),(54841,1),(54842,1),(54843,6),(54844,3),(54845,7),(54846,6),(54847,2),(54848,3),(54849,4),(54850,6),(54851,8),(54852,4),(54853,3),(54854,8),(54855,2),(54856,5),(54857,4),(54858,6),(54859,8),(54860,8),(54861,1),(54862,6),(54863,2),(54864,7),(54865,4),(54866,5),(54867,2),(54868,4),(54869,1),(54870,9),(54871,7),(54872,2),(54873,4),(54874,2),(54875,2),(54876,5),(54877,6),(54878,7),(54879,3),(54880,3),(54881,1),(54882,4),(54883,4),(54884,5),(54885,4),(54886,5),(54887,4),(54888,6),(54889,9),(54890,4),(54891,9),(54892,3),(54893,5),(54894,1),(54895,8),(54896,3),(54897,9),(54898,2),(54899,5),(54900,7),(54901,3),(54902,5),(54903,9),(54904,7),(54905,5),(54906,4),(54907,2),(54908,8),(54909,5),(54910,3),(54911,1),(54912,9),(54913,1),(54914,6),(54915,7),(54916,8),(54917,4),(54918,7),(54919,7),(54920,8),(54921,6),(54922,6),(54923,9),(54924,9),(54925,2),(54926,8),(54927,8),(54928,4),(54929,6),(54930,4),(54931,5),(54932,4),(54933,3),(54934,2),(54935,3),(54936,9),(54937,8),(54938,6),(54939,1),(54940,6),(54941,5),(54942,2),(54943,6),(54944,8),(54945,5),(54946,9),(54947,4),(54948,6),(54949,8),(54950,2),(54951,4),(54952,4),(54953,8),(54954,6),(54955,5),(54956,3),(54957,9),(54958,8),(54959,3),(54960,7),(54961,8),(54962,3),(54963,4),(54964,9),(54965,8),(54966,8),(54967,3),(54968,1),(54969,1),(54970,2),(54971,9),(54972,5),(54973,4),(54974,1),(54975,7),(54976,8),(54977,6),(54978,8),(54979,5),(54980,8),(54981,4),(54982,6),(54983,9),(54984,5),(54985,1),(54986,9),(54987,7),(54988,8),(54989,9),(54990,3),(54991,5),(54992,6),(54993,8),(54994,6),(54995,6),(54996,5),(54997,9),(54998,3),(54999,8),(55000,1),(55001,8),(55002,6),(55003,5),(55004,4),(55005,8),(55006,2),(55007,8),(55008,3),(55009,9),(55010,5),(55011,4),(55012,3),(55013,4),(55014,7),(55015,5),(55016,9),(55017,8),(55018,6),(55019,4),(55020,8),(55021,3),(55022,1),(55023,6),(55024,2),(55025,8),(55026,1),(55027,9),(55028,3),(55029,9),(55030,9),(55031,2),(55032,5),(55033,3),(55034,6),(55035,1),(55036,3),(55037,6),(55038,9),(55039,9),(55040,8),(55041,4),(55042,2),(55043,9),(55044,7),(55045,1),(55046,9),(55047,2),(55048,7),(55049,7),(55050,2),(55051,3),(55052,1),(55053,1),(55054,8),(55055,2),(55056,5),(55057,9),(55058,7),(55059,1),(55060,5),(55061,9),(55062,5),(55063,7),(55064,3),(55065,2),(55066,4),(55067,7),(55068,6),(55069,8),(55070,3),(55071,7),(55072,7),(55073,9),(55074,3),(55075,8),(55076,4),(55077,7),(55078,8),(55079,9),(55080,9),(55081,5),(55082,2),(55083,8),(55084,7),(55085,9),(55086,2),(55087,3),(55088,2),(55089,6),(55090,7),(55091,3),(55092,4),(55093,1),(55094,3),(55095,5),(55096,3),(55097,4),(55098,2),(55099,9),(55100,3),(55101,6),(55102,2),(55103,3),(55104,7),(55105,5),(55106,2),(55107,1),(55108,2),(55109,8),(55110,2),(55111,1),(55112,2),(55113,9),(55114,1),(55115,3),(55116,7),(55117,7),(55118,2),(55119,7),(55120,8),(55121,2),(55122,9),(55123,5),(55124,6),(55125,5),(55126,6),(55127,7),(55128,2),(55129,9),(55130,2),(55131,4),(55132,9),(55133,6),(55134,3),(55135,7),(55136,2),(55137,5),(55138,4),(55139,2),(55140,1),(55141,5),(55142,2),(55143,5),(55144,6),(55145,7),(55146,9),(55147,2),(55148,7),(55149,9),(55150,4),(55151,6),(55152,4),(55153,3),(55154,9),(55155,9),(55156,5),(55157,8),(55158,5),(55159,6),(55160,5),(55161,7),(55162,5),(55163,7),(55164,6),(55165,4),(55166,5),(55167,7),(55168,6),(55169,1),(55170,3),(55171,3),(55172,3),(55173,7),(55174,5),(55175,6),(55176,2),(55177,6),(55178,4),(55179,1),(55180,6),(55181,4),(55182,1),(55183,8),(55184,7),(55185,2),(55186,6),(55187,9),(55188,7),(55189,2),(55190,8),(55191,8),(55192,6),(55193,5),(55194,2),(55195,6),(55196,9),(55197,8),(55198,5),(55199,7),(55200,8),(55201,8),(55202,1),(55203,4),(55204,5),(55205,9),(55206,1),(55207,5),(55208,5),(55209,3),(55210,9),(55211,3),(55212,5),(55213,6),(55214,7),(55215,8),(55216,7),(55217,8),(55218,5),(55219,7),(55220,1),(55221,5),(55222,1),(55223,8),(55224,6),(55225,5),(55226,8),(55227,8),(55228,3),(55229,3),(55230,2),(55231,5),(55232,6),(55233,9),(55234,8),(55235,7),(55236,1),(55237,2),(55238,8),(55239,6),(55240,3),(55241,6),(55242,9),(55243,2),(55244,5),(55245,1),(55246,3),(55247,1),(55248,3),(55249,1),(55250,5),(55251,5),(55252,7),(55253,2),(55254,1),(55255,1),(55256,7),(55257,6),(55258,8),(55259,5),(55260,5),(55261,6),(55262,5),(55263,2),(55264,2),(55265,5),(55266,9),(55267,6),(55268,1),(55269,2),(55270,7),(55271,9),(55272,5),(55273,3),(55274,1),(55275,6),(55276,7),(55277,9),(55278,4),(55279,4),(55280,2),(55281,9),(55282,6),(55283,8),(55284,1),(55285,5),(55286,4),(55287,7),(55288,8),(55289,3),(55290,7),(55291,7),(55292,9),(55293,4),(55294,5),(55295,2),(55296,7),(55297,7),(55298,7),(55299,4),(55300,6),(55301,7),(55302,9),(55303,2),(55304,7),(55305,8),(55306,2),(55307,1),(55308,8),(55309,9),(55310,7),(55311,4),(55312,8),(55313,4),(55314,1),(55315,6),(55316,5),(55317,2),(55318,4),(55319,8),(55320,4),(55321,3),(55322,5),(55323,5),(55324,1),(55325,1),(55326,9),(55327,8),(55328,8),(55329,4),(55330,6),(55331,6),(55332,5),(55333,9),(55334,4),(55335,2),(55336,4),(55337,9),(55338,9),(55339,3),(55340,8),(55341,8),(55342,7),(55343,5),(55344,4),(55345,9),(55346,8),(55347,6),(55348,9),(55349,9),(55350,3),(55351,7),(55352,5),(55353,3),(55354,3),(55355,2),(55356,1),(55357,4),(55358,6),(55359,9),(55360,4),(55361,2),(55362,1),(55363,5),(55364,9),(55365,4),(55366,9),(55367,4),(55368,1),(55369,2),(55370,6),(55371,3),(55372,6),(55373,1),(55374,2),(55375,2),(55376,4),(55377,3),(55378,7),(55379,8),(55380,3),(55381,3),(55382,3),(55383,5),(55384,5),(55385,3),(55386,7),(55387,9),(55388,3),(55389,3),(55390,1),(55391,9),(55392,6),(55393,9),(55394,4),(55395,8),(55396,6),(55397,5),(55398,9),(55399,3),(55400,1),(55401,7),(55402,5),(55403,6),(55404,8),(55405,7),(55406,3),(55407,8),(55408,3),(55409,4),(55410,6),(55411,5),(55412,8),(55413,5),(55414,5),(55415,2),(55416,5),(55417,8),(55418,8),(55419,6),(55420,1),(55421,4),(55422,9),(55423,9),(55424,9),(55425,5),(55426,5),(55427,8),(55428,2),(55429,4),(55430,8),(55431,3),(55432,4),(55433,1),(55434,6),(55435,3),(55436,5),(55437,9),(55438,4),(55439,9),(55440,7),(55441,5),(55442,5),(55443,6),(55444,7),(55445,4),(55446,6),(55447,6),(55448,3),(55449,6),(55450,9),(55451,7),(55452,8),(55453,7),(55454,5),(55455,4),(55456,1),(55457,9),(55458,2),(55459,3),(55460,9),(55461,9),(55462,6),(55463,1),(55464,1),(55465,7),(55466,6),(55467,8),(55468,1),(55469,2),(55470,8),(55471,4),(55472,5),(55473,1),(55474,1),(55475,9),(55476,8),(55477,1),(55478,1),(55479,2),(55480,4),(55481,9),(55482,6),(55483,6),(55484,5),(55485,6),(55486,9),(55487,2),(55488,5),(55489,7),(55490,3),(55491,4),(55492,1),(55493,9),(55494,2),(55495,7),(55496,8),(55497,6),(55498,4),(55499,9),(55500,5),(55501,9),(55502,6),(55503,5),(55504,6),(55505,1),(55506,1),(55507,3),(55508,1),(55509,6),(55510,1),(55511,9),(55512,5),(55513,9),(55514,5),(55515,8),(55516,9),(55517,3),(55518,5),(55519,2),(55520,8),(55521,3),(55522,7),(55523,9),(55524,2),(55525,4),(55526,9),(55527,1),(55528,2),(55529,5),(55530,2),(55531,1),(55532,6),(55533,9),(55534,7),(55535,2),(55536,7),(55537,4),(55538,3),(55539,5),(55540,3),(55541,6),(55542,5),(55543,8),(55544,2),(55545,3),(55546,5),(55547,4),(55548,6),(55549,5),(55550,7),(55551,5),(55552,2),(55553,4),(55554,9),(55555,9),(55556,8),(55557,4),(55558,3),(55559,9),(55560,5),(55561,2),(55562,5),(55563,1),(55564,2),(55565,7),(55566,2),(55567,1),(55568,7),(55569,7),(55570,8),(55571,6),(55572,5),(55573,3),(55574,5),(55575,2),(55576,8),(55577,3),(55578,3),(55579,9),(55580,8),(55581,5),(55582,1),(55583,2),(55584,5),(55585,9),(55586,3),(55587,2),(55588,2),(55589,1),(55590,8),(55591,6),(55592,5),(55593,6),(55594,5),(55595,3),(55596,2),(55597,6),(55598,1),(55599,8),(55600,9),(55601,7),(55602,5),(55603,9),(55604,9),(55605,9),(55606,6),(55607,1),(55608,3),(55609,1),(55610,3),(55611,2),(55612,9),(55613,5),(55614,2),(55615,5),(55616,5),(55617,2),(55618,4),(55619,4),(55620,2),(55621,3),(55622,9),(55623,6),(55624,6),(55625,5),(55626,4),(55627,8),(55628,5),(55629,4),(55630,6),(55631,3),(55632,5),(55633,9),(55634,3),(55635,7),(55636,2),(55637,4),(55638,5),(55639,6),(55640,2),(55641,8),(55642,5),(55643,3),(55644,2),(55645,5),(55646,5),(55647,3),(55648,3),(55649,8),(55650,6),(55651,3),(55652,1),(55653,2),(55654,3),(55655,7),(55656,8),(55657,2),(55658,8),(55659,2),(55660,3),(55661,9),(55662,7),(55663,9),(55664,5),(55665,6),(55666,9),(55667,1),(55668,9),(55669,8),(55670,5),(55671,2),(55672,9),(55673,4),(55674,1),(55675,9),(55676,9),(55677,2),(55678,6),(55679,5),(55680,7),(55681,4),(55682,6),(55683,4),(55684,1),(55685,1),(55686,5),(55687,4),(55688,6),(55689,4),(55690,6),(55691,3),(55692,7),(55693,2),(55694,2),(55695,8),(55696,4),(55697,6),(55698,6),(55699,9),(55700,9),(55701,2),(55702,2),(55703,8),(55704,3),(55705,5),(55706,7),(55707,7),(55708,6),(55709,6),(55710,6),(55711,8),(55712,5),(55713,6),(55714,8),(55715,5),(55716,8),(55717,3),(55718,2),(55719,4),(55720,5),(55721,8),(55722,8),(55723,4),(55724,9),(55725,1),(55726,9),(55727,9),(55728,5),(55729,1),(55730,7),(55731,4),(55732,5),(55733,5),(55734,2),(55735,2),(55736,1),(55737,9),(55738,4),(55739,2),(55740,6),(55741,2),(55742,5),(55743,3),(55744,9),(55745,7),(55746,4),(55747,6),(55748,6),(55749,8),(55750,7),(55751,3),(55752,7),(55753,4),(55754,5),(55755,3),(55756,8),(55757,8),(55758,2),(55759,4),(55760,9),(55761,2),(55762,7),(55763,3),(55764,3),(55765,9),(55766,7),(55767,2),(55768,3),(55769,8),(55770,4),(55771,5),(55772,5),(55773,4),(55774,7),(55775,9),(55776,4),(55777,5),(55778,1),(55779,9),(55780,3),(55781,8),(55782,4),(55783,8),(55784,1),(55785,6),(55786,5),(55787,6),(55788,7),(55789,1),(55790,6),(55791,6),(55792,5),(55793,1),(55794,3),(55795,1),(55796,7),(55797,4),(55798,3),(55799,5),(55800,8),(55801,1),(55802,3),(55803,9),(55804,6),(55805,7),(55806,8),(55807,1),(55808,7),(55809,7),(55810,4),(55811,3),(55812,2),(55813,4),(55814,1),(55815,3),(55816,1),(55817,6),(55818,8),(55819,7),(55820,8),(55821,7),(55822,3),(55823,1),(55824,7),(55825,2),(55826,9),(55827,3),(55828,4),(55829,7),(55830,4),(55831,7),(55832,3),(55833,8),(55834,4),(55835,9),(55836,9),(55837,7),(55838,9),(55839,6),(55840,7),(55841,7),(55842,1),(55843,2),(55844,6),(55845,4),(55846,4),(55847,1),(55848,3),(55849,1),(55850,2),(55851,2),(55852,8),(55853,1),(55854,5),(55855,1),(55856,2),(55857,9),(55858,9),(55859,8),(55860,5),(55861,1),(55862,7),(55863,7),(55864,1),(55865,8),(55866,4),(55867,4),(55868,5),(55869,4),(55870,2),(55871,2),(55872,3),(55873,2),(55874,8),(55875,5),(55876,8),(55877,7),(55878,3),(55879,4),(55880,1),(55881,8),(55882,6),(55883,5),(55884,9),(55885,1),(55886,3),(55887,7),(55888,3),(55889,5),(55890,5),(55891,8),(55892,6),(55893,2),(55894,2),(55895,2),(55896,7),(55897,2),(55898,3),(55899,3),(55900,4),(55901,1),(55902,2),(55903,1),(55904,1),(55905,2),(55906,5),(55907,1),(55908,1),(55909,2),(55910,9),(55911,9),(55912,8),(55913,7),(55914,1),(55915,7),(55916,5),(55917,8),(55918,8),(55919,6),(55920,1),(55921,1),(55922,5),(55923,3),(55924,1),(55925,2),(55926,9),(55927,1),(55928,9),(55929,4),(55930,7),(55931,2),(55932,5),(55933,1),(55934,2),(55935,7),(55936,6),(55937,5),(55938,2),(55939,6),(55940,8),(55941,5),(55942,9),(55943,3),(55944,3),(55945,1),(55946,5),(55947,7),(55948,6),(55949,2),(55950,8),(55951,4),(55952,3),(55953,1),(55954,1),(55955,6),(55956,6),(55957,3),(55958,9),(55959,7),(55960,5),(55961,4),(55962,9),(55963,1),(55964,3),(55965,6),(55966,5),(55967,6),(55968,2),(55969,3),(55970,3),(55971,9),(55972,1),(55973,5),(55974,3),(55975,8),(55976,2),(55977,4),(55978,4),(55979,9),(55980,6),(55981,3),(55982,4),(55983,8),(55984,9),(55985,2),(55986,7),(55987,3),(55988,2),(55989,9),(55990,7),(55991,8),(55992,8),(55993,6),(55994,2),(55995,4),(55996,5),(55997,9),(55998,4),(55999,8),(56000,6),(56001,8),(56002,5),(56003,5),(56004,8),(56005,4),(56006,1),(56007,9),(56008,6),(56009,7),(56010,4),(56011,9),(56012,1),(56013,6),(56014,5),(56015,6),(56016,8),(56017,1),(56018,3),(56019,3),(56020,8),(56021,6),(56022,2),(56023,9),(56024,5),(56025,8),(56026,6),(56027,8),(56028,4),(56029,6),(56030,9),(56031,9),(56032,7),(56033,9),(56034,2),(56035,3),(56036,9),(56037,5),(56038,3),(56039,6),(56040,7),(56041,2),(56042,2),(56043,3),(56044,2),(56045,8),(56046,4),(56047,6),(56048,4),(56049,5),(56050,4),(56051,9),(56052,7),(56053,1),(56054,2),(56055,9),(56056,5),(56057,1),(56058,6),(56059,6),(56060,3),(56061,9),(56062,4),(56063,8),(56064,6),(56065,5),(56066,1),(56067,5),(56068,6),(56069,2),(56070,2),(56071,2),(56072,4),(56073,7),(56074,1),(56075,1),(56076,5),(56077,1),(56078,7),(56079,8),(56080,7),(56081,9),(56082,7),(56083,9),(56084,1),(56085,3),(56086,3),(56087,4),(56088,9),(56089,5),(56090,5),(56091,4),(56092,9),(56093,1),(56094,4),(56095,8),(56096,5),(56097,6),(56098,7),(56099,5),(56100,9),(56101,3),(56102,2),(56103,9),(56104,6),(56105,2),(56106,4),(56107,3),(56108,6),(56109,9),(56110,7),(56111,6),(56112,7),(56113,7),(56114,7),(56115,1),(56116,8),(56117,7),(56118,3),(56119,8),(56120,3),(56121,3),(56122,7),(56123,1),(56124,6),(56125,6),(56126,5),(56127,1),(56128,2),(56129,9),(56130,7),(56131,1),(56132,5),(56133,2),(56134,3),(56135,7),(56136,3),(56137,5),(56138,3),(56139,2),(56140,2),(56141,1),(56142,8),(56143,6),(56144,5),(56145,9),(56146,9),(56147,5),(56148,2),(56149,6),(56150,2),(56151,2),(56152,8),(56153,5),(56154,8),(56155,8),(56156,7),(56157,2),(56158,1),(56159,8),(56160,2),(56161,4),(56162,6),(56163,5),(56164,1),(56165,3),(56166,4),(56167,9),(56168,6),(56169,5),(56170,3),(56171,7),(56172,3),(56173,6),(56174,7),(56175,8),(56176,5),(56177,8),(56178,5),(56179,3),(56180,3),(56181,2),(56182,5),(56183,7),(56184,2),(56185,3),(56186,8),(56187,9),(56188,4),(56189,2),(56190,2),(56191,8),(56192,6),(56193,3),(56194,9),(56195,7),(56196,4),(56197,5),(56198,3),(56199,9),(56200,5),(56201,8),(56202,6),(56203,1),(56204,8),(56205,2),(56206,6),(56207,5),(56208,3),(56209,6),(56210,3),(56211,1),(56212,3),(56213,9),(56214,8),(56215,2),(56216,8),(56217,6),(56218,6),(56219,4),(56220,9),(56221,3),(56222,6),(56223,3),(56224,2),(56225,5),(56226,1),(56227,6),(56228,6),(56229,9),(56230,1),(56231,5),(56232,4),(56233,2),(56234,9),(56235,2),(56236,3),(56237,7),(56238,8),(56239,7),(56240,9),(56241,9),(56242,5),(56243,9),(56244,2),(56245,7),(56246,1),(56247,1),(56248,1),(56249,1),(56250,5),(56251,6),(56252,5),(56253,4),(56254,3),(56255,7),(56256,8),(56257,2),(56258,5),(56259,2),(56260,3),(56261,5),(56262,7),(56263,8),(56264,7),(56265,2),(56266,2),(56267,9),(56268,1),(56269,4),(56270,3),(56271,3),(56272,3),(56273,7),(56274,7),(56275,4),(56276,6),(56277,2),(56278,5),(56279,3),(56280,6),(56281,3),(56282,7),(56283,9),(56284,8),(56285,3),(56286,5),(56287,3),(56288,8),(56289,1),(56290,4),(56291,2),(56292,2),(56293,6),(56294,8),(56295,8),(56296,1),(56297,4),(56298,8),(56299,2),(56300,3),(56301,9),(56302,4),(56303,2),(56304,8),(56305,1),(56306,7),(56307,1),(56308,2),(56309,1),(56310,6),(56311,8),(56312,9),(56313,8),(56314,9),(56315,2),(56316,7),(56317,4),(56318,7),(56319,5),(56320,9),(56321,6),(56322,9),(56323,9),(56324,5),(56325,6),(56326,8),(56327,3),(56328,8),(56329,3),(56330,7),(56331,6),(56332,7),(56333,3),(56334,5),(56335,5),(56336,3),(56337,3),(56338,4),(56339,5),(56340,8),(56341,9),(56342,5),(56343,9),(56344,5),(56345,6),(56346,1),(56347,4),(56348,6),(56349,9),(56350,1),(56351,8),(56352,2),(56353,3),(56354,2),(56355,7),(56356,2),(56357,8),(56358,7),(56359,9),(56360,6),(56361,3),(56362,7),(56363,2),(56364,9),(56365,2),(56366,5),(56367,3),(56368,2),(56369,3),(56370,2),(56371,1),(56372,1),(56373,4),(56374,8),(56375,9),(56376,2),(56377,8),(56378,3),(56379,6),(56380,3),(56381,8),(56382,9),(56383,5),(56384,9),(56385,2),(56386,3),(56387,3),(56388,6),(56389,9),(56390,8),(56391,5),(56392,1),(56393,8),(56394,4),(56395,3),(56396,7),(56397,8),(56398,9),(56399,5),(56400,2),(56401,3),(56402,4),(56403,8),(56404,5),(56405,8),(56406,9),(56407,4),(56408,7),(56409,6),(56410,4),(56411,6),(56412,6),(56413,4),(56414,8),(56415,5),(56416,3),(56417,2),(56418,8),(56419,4),(56420,1),(56421,3),(56422,8),(56423,9),(56424,4),(56425,2),(56426,4),(56427,7),(56428,9),(56429,4),(56430,7),(56431,2),(56432,4),(56433,8),(56434,2),(56435,1),(56436,5),(56437,4),(56438,4),(56439,1),(56440,2),(56441,2),(56442,3),(56443,8),(56444,9),(56445,1),(56446,3),(56447,1),(56448,4),(56449,2),(56450,3),(56451,3),(56452,8),(56453,3),(56454,4),(56455,1),(56456,4),(56457,7),(56458,4),(56459,8),(56460,5),(56461,3),(56462,1),(56463,3),(56464,3),(56465,2),(56466,5),(56467,3),(56468,6),(56469,6),(56470,3),(56471,2),(56472,2),(56473,3),(56474,8),(56475,4),(56476,8),(56477,1),(56478,1),(56479,7),(56480,9),(56481,9),(56482,2),(56483,5),(56484,8),(56485,9),(56486,8),(56487,8),(56488,6),(56489,3),(56490,6),(56491,6),(56492,2),(56493,6),(56494,7),(56495,8),(56496,8),(56497,1),(56498,2),(56499,7),(56500,9),(56501,4),(56502,7),(56503,1),(56504,6),(56505,7),(56506,3),(56507,9),(56508,3),(56509,4),(56510,5),(56511,9),(56512,7),(56513,9),(56514,9),(56515,2),(56516,9),(56517,3),(56518,1),(56519,2),(56520,5),(56521,4),(56522,1),(56523,7),(56524,6),(56525,7),(56526,5),(56527,8),(56528,9),(56529,7),(56530,2),(56531,8),(56532,7),(56533,9),(56534,8),(56535,2),(56536,4),(56537,2),(56538,9),(56539,7),(56540,6),(56541,5),(56542,5),(56543,7),(56544,6),(56545,5),(56546,5),(56547,7),(56548,6),(56549,6),(56550,1),(56551,5),(56552,1),(56553,1),(56554,4),(56555,9),(56556,5),(56557,1),(56558,9),(56559,7),(56560,1),(56561,4),(56562,5),(56563,2),(56564,1),(56565,1),(56566,6),(56567,1),(56568,4),(56569,8),(56570,1),(56571,6),(56572,5),(56573,4),(56574,8),(56575,1),(56576,9),(56577,7),(56578,9),(56579,9),(56580,7),(56581,6),(56582,3),(56583,2),(56584,8),(56585,4),(56586,1),(56587,8),(56588,8),(56589,1),(56590,5),(56591,3),(56592,4),(56593,1),(56594,5),(56595,7),(56596,3),(56597,1),(56598,4),(56599,2),(56600,8),(56601,8),(56602,3),(56603,4),(56604,6),(56605,1),(56606,5),(56607,8),(56608,9),(56609,2),(56610,3),(56611,2),(56612,5),(56613,5),(56614,6),(56615,4),(56616,6),(56617,1),(56618,3),(56619,6),(56620,9),(56621,6),(56622,2),(56623,3),(56624,1),(56625,9),(56626,7),(56627,6),(56628,9),(56629,3),(56630,9),(56631,1),(56632,9),(56633,9),(56634,5),(56635,7),(56636,7),(56637,3),(56638,6),(56639,4),(56640,6),(56641,5),(56642,2),(56643,8),(56644,9),(56645,9),(56646,9),(56647,2),(56648,5),(56649,4),(56650,5),(56651,6),(56652,7),(56653,3),(56654,9),(56655,3),(56656,9),(56657,6),(56658,4),(56659,5),(56660,1),(56661,9),(56662,5),(56663,5),(56664,7),(56665,6),(56666,3),(56667,5),(56668,6),(56669,6),(56670,8),(56671,6),(56672,4),(56673,8),(56674,8),(56675,9),(56676,5),(56677,1),(56678,5),(56679,1),(56680,1),(56681,9),(56682,5),(56683,2),(56684,3),(56685,2),(56686,5),(56687,9),(56688,9),(56689,9),(56690,8),(56691,3),(56692,1),(56693,6),(56694,3),(56695,2),(56696,8),(56697,5),(56698,4),(56699,7),(56700,1),(56701,8),(56702,6),(56703,8),(56704,1),(56705,6),(56706,2),(56707,2),(56708,2),(56709,5),(56710,7),(56711,5),(56712,2),(56713,8),(56714,3),(56715,7),(56716,3),(56717,6),(56718,1),(56719,2),(56720,2),(56721,4),(56722,4),(56723,2),(56724,6),(56725,9),(56726,4),(56727,3),(56728,4),(56729,2),(56730,7),(56731,1),(56732,7),(56733,9),(56734,2),(56735,5),(56736,4),(56737,1),(56738,9),(56739,9),(56740,9),(56741,9),(56742,4),(56743,2),(56744,4),(56745,9),(56746,4),(56747,8),(56748,4),(56749,7),(56750,3),(56751,9),(56752,2),(56753,2),(56754,9),(56755,6),(56756,7),(56757,1),(56758,5),(56759,5),(56760,8),(56761,9),(56762,9),(56763,5),(56764,1),(56765,7),(56766,1),(56767,1),(56768,9),(56769,4),(56770,2),(56771,8),(56772,6),(56773,4),(56774,6),(56775,2),(56776,8),(56777,5),(56778,2),(56779,9),(56780,9),(56781,6),(56782,1),(56783,8),(56784,7),(56785,8),(56786,7),(56787,2),(56788,9),(56789,2),(56790,1),(56791,9),(56792,7),(56793,7),(56794,6),(56795,3),(56796,9),(56797,7),(56798,2),(56799,8),(56800,4),(56801,7),(56802,6),(56803,9),(56804,9),(56805,2),(56806,8),(56807,7),(56808,4),(56809,2),(56810,9),(56811,8),(56812,7),(56813,7),(56814,1),(56815,5),(56816,5),(56817,2),(56818,5),(56819,7),(56820,1),(56821,6),(56822,6),(56823,3),(56824,1),(56825,3),(56826,6),(56827,7),(56828,2),(56829,9),(56830,4),(56831,2),(56832,7),(56833,7),(56834,7),(56835,6),(56836,7),(56837,5),(56838,8),(56839,2),(56840,9),(56841,6),(56842,1),(56843,2),(56844,1),(56845,2),(56846,4),(56847,7),(56848,4),(56849,2),(56850,5),(56851,3),(56852,1),(56853,2),(56854,2),(56855,6),(56856,5),(56857,6),(56858,7),(56859,2),(56860,1),(56861,4),(56862,2),(56863,7),(56864,8),(56865,7),(56866,4),(56867,4),(56868,6),(56869,8),(56870,1),(56871,2),(56872,7),(56873,6),(56874,4),(56875,7),(56876,7),(56877,2),(56878,3),(56879,5),(56880,5),(56881,9),(56882,2),(56883,7),(56884,2),(56885,4),(56886,9),(56887,3),(56888,7),(56889,1),(56890,5),(56891,8),(56892,4),(56893,1),(56894,3),(56895,1),(56896,2),(56897,4),(56898,2),(56899,1),(56900,9),(56901,9),(56902,2),(56903,5),(56904,5),(56905,1),(56906,4),(56907,6),(56908,6),(56909,5),(56910,8),(56911,5),(56912,5),(56913,5),(56914,3),(56915,3),(56916,6),(56917,9),(56918,9),(56919,2),(56920,6),(56921,4),(56922,7),(56923,2),(56924,6),(56925,7),(56926,2),(56927,6),(56928,1),(56929,6),(56930,5),(56931,5),(56932,3),(56933,3),(56934,5),(56935,7),(56936,1),(56937,5),(56938,9),(56939,1),(56940,5),(56941,1),(56942,4),(56943,9),(56944,5),(56945,5),(56946,8),(56947,2),(56948,6),(56949,9),(56950,8),(56951,7),(56952,2),(56953,2),(56954,3),(56955,9),(56956,8),(56957,5),(56958,3),(56959,4),(56960,9),(56961,6),(56962,5),(56963,9),(56964,6),(56965,6),(56966,1),(56967,3),(56968,1),(56969,5),(56970,7),(56971,6),(56972,1),(56973,2),(56974,1),(56975,1),(56976,2),(56977,1),(56978,5),(56979,1),(56980,4),(56981,9),(56982,2),(56983,6),(56984,6),(56985,8),(56986,1),(56987,1),(56988,2),(56989,3),(56990,7),(56991,3),(56992,8),(56993,6),(56994,1),(56995,7),(56996,3),(56997,5),(56998,3),(56999,5),(57000,9),(57001,5),(57002,1),(57003,1),(57004,8),(57005,6),(57006,6),(57007,8),(57008,9),(57009,9),(57010,8),(57011,4),(57012,4),(57013,5),(57014,8),(57015,7),(57016,6),(57017,1),(57018,3),(57019,2),(57020,3),(57021,3),(57022,1),(57023,7),(57024,3),(57025,4),(57026,2),(57027,3),(57028,7),(57029,3),(57030,5),(57031,9),(57032,6),(57033,7),(57034,6),(57035,5),(57036,8),(57037,5),(57038,2),(57039,3),(57040,9),(57041,7),(57042,6),(57043,8),(57044,6),(57045,8),(57046,2),(57047,6),(57048,5),(57049,2),(57050,6),(57051,5),(57052,4),(57053,9),(57054,9),(57055,6),(57056,1),(57057,8),(57058,1),(57059,4),(57060,9),(57061,5),(57062,5),(57063,7),(57064,9),(57065,9),(57066,3),(57067,3),(57068,1),(57069,2),(57070,6),(57071,9),(57072,4),(57073,3),(57074,6),(57075,3),(57076,2),(57077,5),(57078,8),(57079,6),(57080,5),(57081,3),(57082,7),(57083,3),(57084,9),(57085,6),(57086,2),(57087,2),(57088,6),(57089,6),(57090,4),(57091,9),(57092,5),(57093,6),(57094,1),(57095,8),(57096,9),(57097,3),(57098,4),(57099,1),(57100,9),(57101,9),(57102,9),(57103,8),(57104,1),(57105,7),(57106,1),(57107,6),(57108,2),(57109,7),(57110,7),(57111,7),(57112,6),(57113,4),(57114,6),(57115,2),(57116,2),(57117,6),(57118,2),(57119,1),(57120,6),(57121,1),(57122,1),(57123,7),(57124,6),(57125,3),(57126,2),(57127,9),(57128,3),(57129,9),(57130,1),(57131,7),(57132,6),(57133,7),(57134,5),(57135,3),(57136,7),(57137,5),(57138,3),(57139,5),(57140,2),(57141,5),(57142,4),(57143,3),(57144,5),(57145,7),(57146,6),(57147,7),(57148,2),(57149,7),(57150,1),(57151,6),(57152,9),(57153,1),(57154,2),(57155,3),(57156,9),(57157,4),(57158,1),(57159,3),(57160,6),(57161,8),(57162,1),(57163,1),(57164,7),(57165,6),(57166,8),(57167,2),(57168,9),(57169,1),(57170,9),(57171,6),(57172,4),(57173,1),(57174,8),(57175,6),(57176,2),(57177,5),(57178,1),(57179,9),(57180,1),(57181,7),(57182,6),(57183,5),(57184,2),(57185,7),(57186,1),(57187,7),(57188,7),(57189,5),(57190,1),(57191,2),(57192,7),(57193,5),(57194,6),(57195,8),(57196,6),(57197,7),(57198,6),(57199,7),(57200,6),(57201,6),(57202,6),(57203,8),(57204,5),(57205,3),(57206,5),(57207,4),(57208,2),(57209,1),(57210,8),(57211,1),(57212,4),(57213,3),(57214,7),(57215,2),(57216,9),(57217,5),(57218,3),(57219,4),(57220,5),(57221,8),(57222,5),(57223,8),(57224,6),(57225,4),(57226,5),(57227,6),(57228,3),(57229,9),(57230,6),(57231,3),(57232,7),(57233,1),(57234,3),(57235,2),(57236,8),(57237,8),(57238,2),(57239,3),(57240,2),(57241,1),(57242,5),(57243,4),(57244,3),(57245,5),(57246,1),(57247,2),(57248,4),(57249,3),(57250,4),(57251,1),(57252,4),(57253,4),(57254,4),(57255,7),(57256,7),(57257,7),(57258,3),(57259,2),(57260,8),(57261,5),(57262,4),(57263,2),(57264,2),(57265,6),(57266,7),(57267,2),(57268,6),(57269,3),(57270,2),(57271,6),(57272,1),(57273,3),(57274,3),(57275,8),(57276,8),(57277,9),(57278,1),(57279,3),(57280,8),(57281,2),(57282,2),(57283,1),(57284,7),(57285,3),(57286,3),(57287,3),(57288,4),(57289,1),(57290,4),(57291,5),(57292,4),(57293,9),(57294,7),(57295,2),(57296,6),(57297,8),(57298,7),(57299,1),(57300,8),(57301,5),(57302,6),(57303,7),(57304,3),(57305,2),(57306,2),(57307,4),(57308,7),(57309,6),(57310,7),(57311,7),(57312,3),(57313,8),(57314,3),(57315,1),(57316,2),(57317,7),(57318,8),(57319,8),(57320,9),(57321,8),(57322,6),(57323,8),(57324,2),(57325,8),(57326,2),(57327,8),(57328,1),(57329,4),(57330,4),(57331,2),(57332,4),(57333,7),(57334,4),(57335,3),(57336,3),(57337,6),(57338,1),(57339,2),(57340,5),(57341,3),(57342,7),(57343,5),(57344,1),(57345,5),(57346,6),(57347,6),(57348,8),(57349,6),(57350,9),(57351,1),(57352,8),(57353,7),(57354,6),(57355,6),(57356,4),(57357,2),(57358,9),(57359,1),(57360,2),(57361,1),(57362,9),(57363,1),(57364,9),(57365,6),(57366,7),(57367,2),(57368,1),(57369,4),(57370,9),(57371,9),(57372,7),(57373,9),(57374,5),(57375,5),(57376,2),(57377,1),(57378,5),(57379,6),(57380,5),(57381,7),(57382,8),(57383,4),(57384,7),(57385,2),(57386,8),(57387,7),(57388,6),(57389,5),(57390,2),(57391,7),(57392,9),(57393,8),(57394,5),(57395,2),(57396,7),(57397,9),(57398,5),(57399,9),(57400,6),(57401,2),(57402,6),(57403,5),(57404,1),(57405,9),(57406,1),(57407,8),(57408,1),(57409,6),(57410,6),(57411,7),(57412,6),(57413,2),(57414,4),(57415,4),(57416,8),(57417,3),(57418,9),(57419,9),(57420,3),(57421,8),(57422,6),(57423,9),(57424,4),(57425,4),(57426,9),(57427,1),(57428,8),(57429,3),(57430,2),(57431,5),(57432,1),(57433,6),(57434,2),(57435,4),(57436,6),(57437,7),(57438,6),(57439,7),(57440,5),(57441,4),(57442,2),(57443,6),(57444,8),(57445,5),(57446,4),(57447,8),(57448,1),(57449,7),(57450,2),(57451,5),(57452,8),(57453,3),(57454,7),(57455,5),(57456,8),(57457,6),(57458,7),(57459,8),(57460,6),(57461,9),(57462,6),(57463,4),(57464,7),(57465,9),(57466,5),(57467,8),(57468,1),(57469,3),(57470,5),(57471,9),(57472,1),(57473,7),(57474,8),(57475,6),(57476,4),(57477,2),(57478,8),(57479,2),(57480,5),(57481,5),(57482,6),(57483,1),(57484,9),(57485,6),(57486,2),(57487,6),(57488,8),(57489,3),(57490,9),(57491,6),(57492,9),(57493,8),(57494,4),(57495,6),(57496,3),(57497,3),(57498,9),(57499,8),(57500,9),(57501,3),(57502,5),(57503,4),(57504,7),(57505,5),(57506,4),(57507,3),(57508,1),(57509,6),(57510,7),(57511,5),(57512,8),(57513,3),(57514,3),(57515,2),(57516,9),(57517,6),(57518,6),(57519,4),(57520,6),(57521,4),(57522,5),(57523,9),(57524,2),(57525,2),(57526,7),(57527,1),(57528,5),(57529,6),(57530,5),(57531,4),(57532,7),(57533,6),(57534,6),(57535,5),(57536,2),(57537,8),(57538,5),(57539,9),(57540,6),(57541,4),(57542,5),(57543,4),(57544,1),(57545,2),(57546,1),(57547,6),(57548,4),(57549,5),(57550,9),(57551,6),(57552,4),(57553,6),(57554,4),(57555,6),(57556,1),(57557,9),(57558,1),(57559,2),(57560,6),(57561,1),(57562,7),(57563,8),(57564,9),(57565,6),(57566,6),(57567,2),(57568,6),(57569,3),(57570,3),(57571,8),(57572,1),(57573,5),(57574,6),(57575,7),(57576,4),(57577,4),(57578,3),(57579,4),(57580,8),(57581,1),(57582,4),(57583,4),(57584,5),(57585,8),(57586,1),(57587,2),(57588,6),(57589,7),(57590,8),(57591,6),(57592,4),(57593,2),(57594,5),(57595,8),(57596,6),(57597,4),(57598,5),(57599,5),(57600,9),(57601,4),(57602,5),(57603,7),(57604,2),(57605,5),(57606,9),(57607,1),(57608,1),(57609,9),(57610,6),(57611,1),(57612,5),(57613,5),(57614,4),(57615,1),(57616,5),(57617,8),(57618,5),(57619,1),(57620,2),(57621,4),(57622,5),(57623,9),(57624,5),(57625,8),(57626,5),(57627,9),(57628,9),(57629,5),(57630,7),(57631,1),(57632,9),(57633,8),(57634,5),(57635,2),(57636,6),(57637,9),(57638,4),(57639,8),(57640,6),(57641,9),(57642,7),(57643,8),(57644,7),(57645,9),(57646,3),(57647,6),(57648,5),(57649,3),(57650,3),(57651,9),(57652,5),(57653,9),(57654,6),(57655,9),(57656,2),(57657,8),(57658,7),(57659,3),(57660,5),(57661,7),(57662,6),(57663,8),(57664,6),(57665,7),(57666,8),(57667,9),(57668,6),(57669,1),(57670,1),(57671,2),(57672,8),(57673,1),(57674,1),(57675,4),(57676,7),(57677,7),(57678,3),(57679,7),(57680,5),(57681,5),(57682,9),(57683,6),(57684,6),(57685,5),(57686,8),(57687,4),(57688,8),(57689,4),(57690,6),(57691,3),(57692,4),(57693,3),(57694,6),(57695,8),(57696,4),(57697,7),(57698,6),(57699,3),(57700,2),(57701,6),(57702,4),(57703,5),(57704,4),(57705,3),(57706,9),(57707,7),(57708,2),(57709,7),(57710,9),(57711,2),(57712,3),(57713,8),(57714,9),(57715,1),(57716,4),(57717,6),(57718,8),(57719,5),(57720,2),(57721,4),(57722,5),(57723,3),(57724,1),(57725,7),(57726,4),(57727,1),(57728,3),(57729,3),(57730,2),(57731,7),(57732,8),(57733,7),(57734,7),(57735,9),(57736,9),(57737,1),(57738,2),(57739,3),(57740,1),(57741,4),(57742,7),(57743,9),(57744,3),(57745,7),(57746,5),(57747,4),(57748,6),(57749,2),(57750,1),(57751,8),(57752,2),(57753,4),(57754,7),(57755,6),(57756,8),(57757,9),(57758,6),(57759,4),(57760,7),(57761,9),(57762,6),(57763,2),(57764,6),(57765,5),(57766,5),(57767,5),(57768,3),(57769,1),(57770,1),(57771,3),(57772,8),(57773,1),(57774,1),(57775,3),(57776,9),(57777,6),(57778,2),(57779,4),(57780,2),(57781,8),(57782,7),(57783,5),(57784,7),(57785,5),(57786,6),(57787,7),(57788,8),(57789,8),(57790,2),(57791,2),(57792,9),(57793,3),(57794,5),(57795,5),(57796,8),(57797,6),(57798,4),(57799,6),(57800,6),(57801,1),(57802,9),(57803,4),(57804,4),(57805,9),(57806,4),(57807,1),(57808,8),(57809,4),(57810,3),(57811,4),(57812,2),(57813,4),(57814,2),(57815,2),(57816,1),(57817,7),(57818,3),(57819,6),(57820,1),(57821,8),(57822,4),(57823,9),(57824,7),(57825,1),(57826,1),(57827,8),(57828,7),(57829,6),(57830,2),(57831,6),(57832,7),(57833,2),(57834,7),(57835,1),(57836,6),(57837,3),(57838,1),(57839,1),(57840,5),(57841,3),(57842,7),(57843,5),(57844,8),(57845,5),(57846,1),(57847,8),(57848,4),(57849,4),(57850,3),(57851,3),(57852,2),(57853,8),(57854,9),(57855,2),(57856,5),(57857,9),(57858,1),(57859,1),(57860,3),(57861,9),(57862,6),(57863,2),(57864,7),(57865,2),(57866,2),(57867,4),(57868,9),(57869,1),(57870,5),(57871,8),(57872,1),(57873,8),(57874,8),(57875,4),(57876,2),(57877,7),(57878,2),(57879,3),(57880,8),(57881,7),(57882,6),(57883,1),(57884,7),(57885,3),(57886,9),(57887,1),(57888,2),(57889,9),(57890,6),(57891,9),(57892,4),(57893,9),(57894,9),(57895,4),(57896,8),(57897,3),(57898,5),(57899,2),(57900,5),(57901,9),(57902,5),(57903,6),(57904,2),(57905,5),(57906,4),(57907,3),(57908,8),(57909,4),(57910,6),(57911,1),(57912,1),(57913,2),(57914,9),(57915,6),(57916,5),(57917,5),(57918,5),(57919,2),(57920,6),(57921,7),(57922,3),(57923,7),(57924,2),(57925,2),(57926,5),(57927,4),(57928,5),(57929,5),(57930,4),(57931,7),(57932,8),(57933,9),(57934,9),(57935,4),(57936,6),(57937,8),(57938,2),(57939,9),(57940,3),(57941,1),(57942,7),(57943,1),(57944,1),(57945,3),(57946,4),(57947,8),(57948,9),(57949,8),(57950,7),(57951,6),(57952,9),(57953,8),(57954,8),(57955,8),(57956,7),(57957,3),(57958,2),(57959,5),(57960,6),(57961,4),(57962,8),(57963,9),(57964,8),(57965,2),(57966,2),(57967,5),(57968,3),(57969,8),(57970,8),(57971,4),(57972,5),(57973,9),(57974,4),(57975,9),(57976,6),(57977,3),(57978,2),(57979,3),(57980,8),(57981,8),(57982,2),(57983,8),(57984,5),(57985,4),(57986,7),(57987,6),(57988,2),(57989,5),(57990,3),(57991,1),(57992,2),(57993,1),(57994,2),(57995,8),(57996,1),(57997,6),(57998,6),(57999,7),(58000,5),(58001,7),(58002,6),(58003,6),(58004,9),(58005,6),(58006,8),(58007,3),(58008,1),(58009,5),(58010,5),(58011,5),(58012,7),(58013,5),(58014,1),(58015,6),(58016,5),(58017,5),(58018,5),(58019,4),(58020,8),(58021,8),(58022,5),(58023,1),(58024,4),(58025,2),(58026,3),(58027,2),(58028,6),(58029,2),(58030,4),(58031,4),(58032,4),(58033,2),(58034,6),(58035,5),(58036,6),(58037,1),(58038,7),(58039,7),(58040,7),(58041,7),(58042,2),(58043,7),(58044,6),(58045,7),(58046,1),(58047,8),(58048,3),(58049,9),(58050,6),(58051,4),(58052,5),(58053,2),(58054,1),(58055,1),(58056,4),(58057,3),(58058,1),(58059,4),(58060,8),(58061,2),(58062,9),(58063,7),(58064,2),(58065,1),(58066,5),(58067,1),(58068,1),(58069,8),(58070,7),(58071,9),(58072,4),(58073,3),(58074,3),(58075,2),(58076,8),(58077,1),(58078,6),(58079,8),(58080,7),(58081,2),(58082,9),(58083,7),(58084,1),(58085,3),(58086,8),(58087,7),(58088,8),(58089,8),(58090,5),(58091,8),(58092,1),(58093,5),(58094,1),(58095,2),(58096,5),(58097,9),(58098,3),(58099,3),(58100,1),(58101,5),(58102,9),(58103,7),(58104,8),(58105,5),(58106,1),(58107,1),(58108,5),(58109,3),(58110,1),(58111,3),(58112,6),(58113,6),(58114,6),(58115,4),(58116,6),(58117,6),(58118,4),(58119,1),(58120,2),(58121,5),(58122,9),(58123,3),(58124,1),(58125,3),(58126,9),(58127,3),(58128,3),(58129,9),(58130,8),(58131,1),(58132,8),(58133,7),(58134,9),(58135,8),(58136,8),(58137,8),(58138,3),(58139,3),(58140,5),(58141,7),(58142,4),(58143,2),(58144,4),(58145,7),(58146,8),(58147,9),(58148,1),(58149,8),(58150,1),(58151,3),(58152,3),(58153,4),(58154,8),(58155,9),(58156,7),(58157,9),(58158,3),(58159,2),(58160,9),(58161,2),(58162,6),(58163,4),(58164,6),(58165,4),(58166,6),(58167,9),(58168,2),(58169,7),(58170,8),(58171,4),(58172,9),(58173,2),(58174,8),(58175,6),(58176,2),(58177,4),(58178,9),(58179,3),(58180,3),(58181,9),(58182,5),(58183,7),(58184,3),(58185,5),(58186,9),(58187,6),(58188,3),(58189,6),(58190,2),(58191,7),(58192,2),(58193,5),(58194,4),(58195,4),(58196,3),(58197,2),(58198,7),(58199,9),(58200,6),(58201,7),(58202,9),(58203,3),(58204,9),(58205,9),(58206,1),(58207,8),(58208,7),(58209,4),(58210,6),(58211,1),(58212,3),(58213,6),(58214,8),(58215,1),(58216,8),(58217,6),(58218,7),(58219,4),(58220,6),(58221,4),(58222,4),(58223,3),(58224,1),(58225,7),(58226,7),(58227,4),(58228,4),(58229,6),(58230,6),(58231,9),(58232,3),(58233,5),(58234,5),(58235,8),(58236,3),(58237,9),(58238,9),(58239,3),(58240,7),(58241,4),(58242,7),(58243,8),(58244,4),(58245,8),(58246,8),(58247,8),(58248,1),(58249,7),(58250,8),(58251,9),(58252,7),(58253,3),(58254,9),(58255,3),(58256,9),(58257,5),(58258,8),(58259,7),(58260,2),(58261,7),(58262,1),(58263,5),(58264,1),(58265,1),(58266,1),(58267,2),(58268,6),(58269,4),(58270,4),(58271,6),(58272,4),(58273,6),(58274,4),(58275,1),(58276,1),(58277,4),(58278,6),(58279,9),(58280,4),(58281,9),(58282,7),(58283,7),(58284,7),(58285,4),(58286,1),(58287,1),(58288,7),(58289,6),(58290,3),(58291,9),(58292,7),(58293,6),(58294,2),(58295,4),(58296,1),(58297,8),(58298,2),(58299,2),(58300,7),(58301,4),(58302,3),(58303,4),(58304,8),(58305,2),(58306,8),(58307,6),(58308,5),(58309,2),(58310,2),(58311,1),(58312,5),(58313,4),(58314,4),(58315,1),(58316,4),(58317,2),(58318,5),(58319,6),(58320,3),(58321,5),(58322,8),(58323,8),(58324,9),(58325,1),(58326,6),(58327,8),(58328,6),(58329,2),(58330,1),(58331,9),(58332,4),(58333,1),(58334,6),(58335,5),(58336,5),(58337,9),(58338,5),(58339,8),(58340,9),(58341,5),(58342,5),(58343,6),(58344,3),(58345,5),(58346,4),(58347,5),(58348,4),(58349,4),(58350,5),(58351,4),(58352,3),(58353,8),(58354,3),(58355,6),(58356,4),(58357,5),(58358,5),(58359,9),(58360,4),(58361,4),(58362,6),(58363,8),(58364,3),(58365,5),(58366,1),(58367,9),(58368,2),(58369,3),(58370,5),(58371,1),(58372,5),(58373,3),(58374,2),(58375,9),(58376,7),(58377,1),(58378,4),(58379,3),(58380,4),(58381,1),(58382,8),(58383,8),(58384,2),(58385,4),(58386,5),(58387,7),(58388,5),(58389,2),(58390,9),(58391,9),(58392,5),(58393,6),(58394,1),(58395,1),(58396,9),(58397,8),(58398,1),(58399,1),(58400,9),(58401,9),(58402,4),(58403,3),(58404,6),(58405,8),(58406,4),(58407,5),(58408,4),(58409,7),(58410,2),(58411,2),(58412,7),(58413,7),(58414,7),(58415,5),(58416,5),(58417,1),(58418,4),(58419,9),(58420,5),(58421,6),(58422,5),(58423,2),(58424,5),(58425,4),(58426,6),(58427,3),(58428,2),(58429,3),(58430,3),(58431,7),(58432,9),(58433,5),(58434,1),(58435,3),(58436,2),(58437,8),(58438,6),(58439,1),(58440,8),(58441,4),(58442,5),(58443,7),(58444,4),(58445,6),(58446,2),(58447,7),(58448,6),(58449,8),(58450,6),(58451,3),(58452,2),(58453,5),(58454,4),(58455,6),(58456,4),(58457,9),(58458,7),(58459,8),(58460,4),(58461,5),(58462,4),(58463,5),(58464,5),(58465,1),(58466,2),(58467,4),(58468,2),(58469,7),(58470,7),(58471,4),(58472,9),(58473,6),(58474,9),(58475,3),(58476,4),(58477,1),(58478,8),(58479,5),(58480,9),(58481,7),(58482,9),(58483,9),(58484,5),(58485,1),(58486,6),(58487,8),(58488,8),(58489,5),(58490,5),(58491,8),(58492,6),(58493,8),(58494,1),(58495,7),(58496,5),(58497,5),(58498,9),(58499,7),(58500,7),(58501,8),(58502,2),(58503,1),(58504,1),(58505,3),(58506,4),(58507,4),(58508,1),(58509,2),(58510,4),(58511,1),(58512,3),(58513,2),(58514,1),(58515,8),(58516,4),(58517,3),(58518,5),(58519,8),(58520,9),(58521,6),(58522,9),(58523,1),(58524,1),(58525,9),(58526,9),(58527,2),(58528,7),(58529,6),(58530,9),(58531,9),(58532,8),(58533,6),(58534,4),(58535,7),(58536,5),(58537,2),(58538,1),(58539,4),(58540,6),(58541,9),(58542,5),(58543,9),(58544,7),(58545,4),(58546,2),(58547,5),(58548,1),(58549,3),(58550,8),(58551,2),(58552,5),(58553,6),(58554,7),(58555,5),(58556,7),(58557,8),(58558,1),(58559,7),(58560,7),(58561,2),(58562,5),(58563,3),(58564,5),(58565,9),(58566,9),(58567,5),(58568,2),(58569,4),(58570,3),(58571,9),(58572,8),(58573,6),(58574,9),(58575,1),(58576,1),(58577,7),(58578,4),(58579,4),(58580,4),(58581,6),(58582,5),(58583,4),(58584,2),(58585,7),(58586,9),(58587,9),(58588,3),(58589,4),(58590,8),(58591,6),(58592,4),(58593,3),(58594,5),(58595,1),(58596,2),(58597,6),(58598,2),(58599,4),(58600,6),(58601,4),(58602,2),(58603,2),(58604,6),(58605,2),(58606,3),(58607,1),(58608,5),(58609,3),(58610,1),(58611,7),(58612,6),(58613,6),(58614,1),(58615,2),(58616,4),(58617,1),(58618,1),(58619,8),(58620,6),(58621,7),(58622,4),(58623,9),(58624,9),(58625,5),(58626,7),(58627,5),(58628,1),(58629,5),(58630,5),(58631,6),(58632,8),(58633,5),(58634,5),(58635,8),(58636,3),(58637,6),(58638,5),(58639,8),(58640,8),(58641,4),(58642,5),(58643,5),(58644,4),(58645,1),(58646,9),(58647,4),(58648,1),(58649,4),(58650,4),(58651,6),(58652,6),(58653,8),(58654,5),(58655,5),(58656,6),(58657,5),(58658,5),(58659,4),(58660,3),(58661,7),(58662,8),(58663,6),(58664,5),(58665,6),(58666,2),(58667,9),(58668,6),(58669,9),(58670,4),(58671,2),(58672,1),(58673,8),(58674,3),(58675,8),(58676,1),(58677,2),(58678,2),(58679,9),(58680,4),(58681,9),(58682,3),(58683,5),(58684,7),(58685,1),(58686,9),(58687,2),(58688,1),(58689,9),(58690,3),(58691,7),(58692,2),(58693,7),(58694,5),(58695,7),(58696,9),(58697,8),(58698,1),(58699,6),(58700,4),(58701,1),(58702,4),(58703,4),(58704,7),(58705,9),(58706,8),(58707,4),(58708,6),(58709,9),(58710,6),(58711,1),(58712,4),(58713,6),(58714,3),(58715,9),(58716,5),(58717,6),(58718,6),(58719,4),(58720,2),(58721,4),(58722,5),(58723,2),(58724,2),(58725,5),(58726,7),(58727,4),(58728,1),(58729,8),(58730,8),(58731,4),(58732,4),(58733,6),(58734,9),(58735,4),(58736,1),(58737,6),(58738,3),(58739,2),(58740,8),(58741,5),(58742,2),(58743,1),(58744,6),(58745,9),(58746,9),(58747,6),(58748,3),(58749,2),(58750,8),(58751,2),(58752,7),(58753,6),(58754,5),(58755,3),(58756,7),(58757,6),(58758,6),(58759,3),(58760,1),(58761,2),(58762,6),(58763,8),(58764,2),(58765,7),(58766,6),(58767,5),(58768,3),(58769,2),(58770,3),(58771,6),(58772,5),(58773,7),(58774,3),(58775,5),(58776,2),(58777,6),(58778,1),(58779,6),(58780,9),(58781,8),(58782,8),(58783,4),(58784,6),(58785,7),(58786,2),(58787,5),(58788,6),(58789,9),(58790,8),(58791,7),(58792,6),(58793,7),(58794,5),(58795,5),(58796,5),(58797,8),(58798,8),(58799,6),(58800,5),(58801,9),(58802,4),(58803,8),(58804,4),(58805,8),(58806,3),(58807,3),(58808,8),(58809,6),(58810,8),(58811,6),(58812,8),(58813,9),(58814,5),(58815,6),(58816,6),(58817,4),(58818,4),(58819,7),(58820,3),(58821,1),(58822,5),(58823,3),(58824,9),(58825,4),(58826,3),(58827,4),(58828,8),(58829,1),(58830,7),(58831,4),(58832,1),(58833,3),(58834,3),(58835,5),(58836,4),(58837,6),(58838,7),(58839,7),(58840,6),(58841,5),(58842,3),(58843,8),(58844,4),(58845,4),(58846,5),(58847,8),(58848,5),(58849,3),(58850,9),(58851,5),(58852,1),(58853,1),(58854,7),(58855,5),(58856,3),(58857,8),(58858,1),(58859,7),(58860,5),(58861,6),(58862,8),(58863,7),(58864,7),(58865,1),(58866,8),(58867,8),(58868,5),(58869,4),(58870,1),(58871,7),(58872,7),(58873,2),(58874,9),(58875,6),(58876,5),(58877,7),(58878,1),(58879,8),(58880,7),(58881,5),(58882,3),(58883,4),(58884,1),(58885,7),(58886,3),(58887,4),(58888,3),(58889,4),(58890,2),(58891,5),(58892,5),(58893,1),(58894,8),(58895,9),(58896,4),(58897,1),(58898,8),(58899,3),(58900,4),(58901,8),(58902,9),(58903,8),(58904,2),(58905,3),(58906,2),(58907,1),(58908,2),(58909,4),(58910,2),(58911,4),(58912,1),(58913,7),(58914,3),(58915,7),(58916,2),(58917,2),(58918,9),(58919,1),(58920,5),(58921,7),(58922,9),(58923,8),(58924,3),(58925,9),(58926,4),(58927,7),(58928,1),(58929,5),(58930,7),(58931,9),(58932,1),(58933,4),(58934,7),(58935,2),(58936,8),(58937,8),(58938,3),(58939,7),(58940,7),(58941,4),(58942,3),(58943,1),(58944,1),(58945,9),(58946,3),(58947,1),(58948,2),(58949,5),(58950,5),(58951,8),(58952,8),(58953,1),(58954,4),(58955,2),(58956,6),(58957,4),(58958,1),(58959,2),(58960,3),(58961,9),(58962,1),(58963,4),(58964,9),(58965,2),(58966,6),(58967,8),(58968,1),(58969,9),(58970,6),(58971,9),(58972,4),(58973,5),(58974,2),(58975,8),(58976,8),(58977,1),(58978,7),(58979,7),(58980,4),(58981,2),(58982,1),(58983,6),(58984,9),(58985,1),(58986,2),(58987,8),(58988,3),(58989,9),(58990,5),(58991,8),(58992,7),(58993,6),(58994,7),(58995,4),(58996,2),(58997,6),(58998,1),(58999,7),(59000,5),(59001,6),(59002,7),(59003,2),(59004,2),(59005,3),(59006,9),(59007,8),(59008,4),(59009,5),(59010,6),(59011,4),(59012,7),(59013,2),(59014,3),(59015,9),(59016,8),(59017,6),(59018,9),(59019,6),(59020,5),(59021,6),(59022,4),(59023,7),(59024,1),(59025,4),(59026,2),(59027,1),(59028,9),(59029,4),(59030,7),(59031,4),(59032,6),(59033,9),(59034,6),(59035,3),(59036,7),(59037,1),(59038,5),(59039,2),(59040,5),(59041,4),(59042,5),(59043,7),(59044,5),(59045,2),(59046,7),(59047,7),(59048,1),(59049,6),(59050,5),(59051,2),(59052,5),(59053,3),(59054,4),(59055,1),(59056,4),(59057,3),(59058,3),(59059,4),(59060,2),(59061,9),(59062,8),(59063,5),(59064,7),(59065,7),(59066,6),(59067,9),(59068,7),(59069,1),(59070,2),(59071,6),(59072,7),(59073,5),(59074,2),(59075,7),(59076,8),(59077,1),(59078,6),(59079,5),(59080,8),(59081,6),(59082,7),(59083,9),(59084,2),(59085,4),(59086,9),(59087,3),(59088,7),(59089,6),(59090,6),(59091,9),(59092,7),(59093,6),(59094,5),(59095,4),(59096,7),(59097,7),(59098,3),(59099,2),(59100,5),(59101,3),(59102,2),(59103,5),(59104,2),(59105,3),(59106,5),(59107,3),(59108,7),(59109,8),(59110,6),(59111,1),(59112,5),(59113,5),(59114,9),(59115,7),(59116,1),(59117,4),(59118,8),(59119,3),(59120,9),(59121,2),(59122,3),(59123,7),(59124,5),(59125,8),(59126,7),(59127,5),(59128,3),(59129,8),(59130,9),(59131,8),(59132,3),(59133,4),(59134,9),(59135,1),(59136,3),(59137,9),(59138,9),(59139,1),(59140,3),(59141,2),(59142,5),(59143,7),(59144,8),(59145,3),(59146,9),(59147,9),(59148,2),(59149,7),(59150,7),(59151,8),(59152,5),(59153,4),(59154,4),(59155,7),(59156,2),(59157,7),(59158,4),(59159,1),(59160,6),(59161,9),(59162,6),(59163,7),(59164,6),(59165,6),(59166,9),(59167,3),(59168,5),(59169,6),(59170,2),(59171,2),(59172,3),(59173,2),(59174,8),(59175,1),(59176,8),(59177,4),(59178,3),(59179,1),(59180,4),(59181,4),(59182,5),(59183,1),(59184,5),(59185,7),(59186,1),(59187,4),(59188,8),(59189,2),(59190,8),(59191,4),(59192,2),(59193,1),(59194,3),(59195,7),(59196,3),(59197,6),(59198,8),(59199,7),(59200,4),(59201,7),(59202,9),(59203,3),(59204,4),(59205,3),(59206,3),(59207,9),(59208,1),(59209,8),(59210,3),(59211,7),(59212,7),(59213,8),(59214,1),(59215,1),(59216,3),(59217,1),(59218,3),(59219,1),(59220,1),(59221,1),(59222,7),(59223,7),(59224,7),(59225,3),(59226,3),(59227,9),(59228,4),(59229,2),(59230,9),(59231,8),(59232,6),(59233,7),(59234,6),(59235,9),(59236,8),(59237,9),(59238,3),(59239,3),(59240,8),(59241,9),(59242,6),(59243,4),(59244,3),(59245,1),(59246,7),(59247,9),(59248,5),(59249,6),(59250,3),(59251,5),(59252,4),(59253,9),(59254,2),(59255,6),(59256,9),(59257,9),(59258,5),(59259,3),(59260,4),(59261,7),(59262,9),(59263,5),(59264,9),(59265,7),(59266,9),(59267,1),(59268,4),(59269,8),(59270,2),(59271,2),(59272,8),(59273,7),(59274,3),(59275,2),(59276,1),(59277,4),(59278,1),(59279,6),(59280,5),(59281,7),(59282,1),(59283,5),(59284,7),(59285,2),(59286,2),(59287,7),(59288,6),(59289,2),(59290,8),(59291,2),(59292,6),(59293,4),(59294,8),(59295,9),(59296,2),(59297,7),(59298,3),(59299,7),(59300,1),(59301,7),(59302,4),(59303,6),(59304,9),(59305,3),(59306,5),(59307,7),(59308,9),(59309,3),(59310,8),(59311,9),(59312,3),(59313,4),(59314,1),(59315,1),(59316,6),(59317,2),(59318,1),(59319,4),(59320,4),(59321,2),(59322,2),(59323,3),(59324,7),(59325,5),(59326,1),(59327,4),(59328,9),(59329,3),(59330,5),(59331,7),(59332,8),(59333,9),(59334,9),(59335,6),(59336,2),(59337,9),(59338,1),(59339,4),(59340,6),(59341,8),(59342,3),(59343,7),(59344,5),(59345,1),(59346,4),(59347,1),(59348,1),(59349,7),(59350,4),(59351,3),(59352,3),(59353,5),(59354,2),(59355,4),(59356,3),(59357,9),(59358,3),(59359,5),(59360,1),(59361,1),(59362,8),(59363,5),(59364,5),(59365,8),(59366,1),(59367,5),(59368,6),(59369,5),(59370,5),(59371,4),(59372,5),(59373,7),(59374,6),(59375,8),(59376,3),(59377,9),(59378,8),(59379,5),(59380,5),(59381,1),(59382,5),(59383,5),(59384,2),(59385,9),(59386,9),(59387,5),(59388,7),(59389,8),(59390,5),(59391,9),(59392,2),(59393,4),(59394,4),(59395,2),(59396,1),(59397,7),(59398,1),(59399,5),(59400,8),(59401,4),(59402,6),(59403,1),(59404,2),(59405,8),(59406,8),(59407,3),(59408,6),(59409,8),(59410,2),(59411,8),(59412,1),(59413,4),(59414,2),(59415,9),(59416,2),(59417,2),(59418,8),(59419,7),(59420,5),(59421,4),(59422,5),(59423,2),(59424,5),(59425,4),(59426,4),(59427,6),(59428,6),(59429,9),(59430,2),(59431,8),(59432,5),(59433,1),(59434,2),(59435,7),(59436,3),(59437,5),(59438,1),(59439,4),(59440,1),(59441,2),(59442,2),(59443,1),(59444,4),(59445,8),(59446,8),(59447,5),(59448,8),(59449,4),(59450,1),(59451,9),(59452,7),(59453,5),(59454,7),(59455,4),(59456,8),(59457,5),(59458,4),(59459,3),(59460,2),(59461,7),(59462,1),(59463,3),(59464,8),(59465,8),(59466,8),(59467,8),(59468,4),(59469,6),(59470,2),(59471,8),(59472,2),(59473,8),(59474,5),(59475,2),(59476,4),(59477,7),(59478,9),(59479,8),(59480,8),(59481,3),(59482,2),(59483,2),(59484,8),(59485,6),(59486,3),(59487,9),(59488,6),(59489,8),(59490,2),(59491,4),(59492,4),(59493,4),(59494,8),(59495,9),(59496,8),(59497,5),(59498,1),(59499,7),(59500,8),(59501,3),(59502,4),(59503,7),(59504,7),(59505,5),(59506,9),(59507,6),(59508,5),(59509,7),(59510,2),(59511,4),(59512,6),(59513,5),(59514,8),(59515,9),(59516,9),(59517,3),(59518,6),(59519,1),(59520,8),(59521,3),(59522,4),(59523,6),(59524,7),(59525,2),(59526,4),(59527,8),(59528,1),(59529,5),(59530,7),(59531,8),(59532,7),(59533,2),(59534,3),(59535,8),(59536,4),(59537,4),(59538,7),(59539,5),(59540,2),(59541,8),(59542,9),(59543,2),(59544,3),(59545,6),(59546,7),(59547,6),(59548,7),(59549,5),(59550,9),(59551,2),(59552,9),(59553,5),(59554,3),(59555,2),(59556,2),(59557,7),(59558,1),(59559,2),(59560,9),(59561,8),(59562,1),(59563,6),(59564,8),(59565,2),(59566,8),(59567,4),(59568,6),(59569,5),(59570,7),(59571,6),(59572,9),(59573,4),(59574,5),(59575,3),(59576,9),(59577,5),(59578,3),(59579,7),(59580,1),(59581,7),(59582,2),(59583,3),(59584,2),(59585,5),(59586,6),(59587,1),(59588,8),(59589,6),(59590,3),(59591,5),(59592,3),(59593,9),(59594,6),(59595,1),(59596,5),(59597,5),(59598,9),(59599,2),(59600,4),(59601,4),(59602,6),(59603,6),(59604,6),(59605,2),(59606,6),(59607,3),(59608,5),(59609,7),(59610,4),(59611,6),(59612,9),(59613,1),(59614,1),(59615,4),(59616,2),(59617,8),(59618,6),(59619,8),(59620,4),(59621,3),(59622,7),(59623,6),(59624,8),(59625,1),(59626,6),(59627,8),(59628,5),(59629,6),(59630,9),(59631,6),(59632,3),(59633,6),(59634,3),(59635,8),(59636,9),(59637,5),(59638,1),(59639,4),(59640,8),(59641,9),(59642,5),(59643,3),(59644,9),(59645,4),(59646,3),(59647,6),(59648,6),(59649,8),(59650,6),(59651,3),(59652,3),(59653,5),(59654,3),(59655,4),(59656,6),(59657,4),(59658,7),(59659,2),(59660,1),(59661,9),(59662,3),(59663,3),(59664,4),(59665,7),(59666,4),(59667,3),(59668,9),(59669,7),(59670,6),(59671,8),(59672,6),(59673,5),(59674,6),(59675,6),(59676,9),(59677,3),(59678,2),(59679,3),(59680,4),(59681,3),(59682,8),(59683,8),(59684,8),(59685,4),(59686,4),(59687,9),(59688,3),(59689,2),(59690,1),(59691,7),(59692,4),(59693,4),(59694,6),(59695,6),(59696,4),(59697,2),(59698,4),(59699,6),(59700,1),(59701,8),(59702,1),(59703,6),(59704,5),(59705,7),(59706,8),(59707,6),(59708,4),(59709,5),(59710,7),(59711,1),(59712,1),(59713,2),(59714,4),(59715,5),(59716,2),(59717,8),(59718,2),(59719,2),(59720,4),(59721,5),(59722,1),(59723,5),(59724,5),(59725,2),(59726,1),(59727,2),(59728,8),(59729,1),(59730,3),(59731,6),(59732,6),(59733,2),(59734,8),(59735,2),(59736,8),(59737,7),(59738,8),(59739,8),(59740,8),(59741,8),(59742,4),(59743,4),(59744,4),(59745,9),(59746,4),(59747,6),(59748,1),(59749,5),(59750,8),(59751,1),(59752,2),(59753,9),(59754,4),(59755,2),(59756,3),(59757,7),(59758,9),(59759,4),(59760,9),(59761,8),(59762,6),(59763,9),(59764,4),(59765,3),(59766,9),(59767,2),(59768,8),(59769,8),(59770,8),(59771,2),(59772,6),(59773,1),(59774,6),(59775,5),(59776,2),(59777,7),(59778,7),(59779,6),(59780,8),(59781,8),(59782,2),(59783,1),(59784,7),(59785,4),(59786,5),(59787,8),(59788,5),(59789,2),(59790,9),(59791,9),(59792,7),(59793,8),(59794,3),(59795,2),(59796,4),(59797,1),(59798,1),(59799,9),(59800,6),(59801,4),(59802,4),(59803,4),(59804,9),(59805,8),(59806,3),(59807,2),(59808,2),(59809,7),(59810,9),(59811,5),(59812,5),(59813,9),(59814,6),(59815,4),(59816,7),(59817,4),(59818,2),(59819,6),(59820,3),(59821,9),(59822,9),(59823,2),(59824,7),(59825,6),(59826,1),(59827,5),(59828,5),(59829,4),(59830,3),(59831,4),(59832,3),(59833,1),(59834,2),(59835,5),(59836,9),(59837,8),(59838,9),(59839,7),(59840,5),(59841,3),(59842,1),(59843,4),(59844,8),(59845,7),(59846,3),(59847,2),(59848,1),(59849,9),(59850,7),(59851,7),(59852,4),(59853,3),(59854,4),(59855,8),(59856,7),(59857,9),(59858,2),(59859,1),(59860,7),(59861,8),(59862,8),(59863,5),(59864,4),(59865,9),(59866,4),(59867,3),(59868,9),(59869,2),(59870,3),(59871,6),(59872,6),(59873,1),(59874,1),(59875,4),(59876,4),(59877,4),(59878,2),(59879,9),(59880,5),(59881,4),(59882,3),(59883,1),(59884,8),(59885,4),(59886,6),(59887,7),(59888,2),(59889,6),(59890,6),(59891,1),(59892,1),(59893,2),(59894,6),(59895,6),(59896,2),(59897,3),(59898,8),(59899,3),(59900,5),(59901,1),(59902,8),(59903,2),(59904,5),(59905,3),(59906,4),(59907,9),(59908,4),(59909,6),(59910,4),(59911,7),(59912,5),(59913,7),(59914,5),(59915,7),(59916,8),(59917,2),(59918,6),(59919,8),(59920,1),(59921,1),(59922,9),(59923,6),(59924,6),(59925,6),(59926,9),(59927,2),(59928,6),(59929,8),(59930,2),(59931,7),(59932,7),(59933,5),(59934,6),(59935,5),(59936,1),(59937,6),(59938,2),(59939,5),(59940,7),(59941,2),(59942,8),(59943,2),(59944,9),(59945,6),(59946,2),(59947,8),(59948,2),(59949,9),(59950,3),(59951,4),(59952,9),(59953,7),(59954,1),(59955,2),(59956,6),(59957,2),(59958,4),(59959,6),(59960,6),(59961,2),(59962,1),(59963,6),(59964,6),(59965,6),(59966,8),(59967,8),(59968,9),(59969,8),(59970,6),(59971,8),(59972,4),(59973,2),(59974,8),(59975,9),(59976,5),(59977,3),(59978,2),(59979,5),(59980,2),(59981,2),(59982,4),(59983,8),(59984,7),(59985,6),(59986,6),(59987,1),(59988,6),(59989,2),(59990,8),(59991,5),(59992,5),(59993,5),(59994,3),(59995,9),(59996,6),(59997,1),(59998,5),(59999,3),(60000,4),(60001,4),(60002,6),(60003,5),(60004,2),(60005,5),(60006,6),(60007,9),(60008,6),(60009,8),(60010,8),(60011,2),(60012,8),(60013,4),(60014,6),(60015,1),(60016,3),(60017,6),(60018,7),(60019,1),(60020,1),(60021,6),(60022,5),(60023,3),(60024,5),(60025,2),(60026,1),(60027,1),(60028,4),(60029,8),(60030,4),(60031,4),(60032,6),(60033,3),(60034,3),(60035,1),(60036,3),(60037,2),(60038,9),(60039,4),(60040,4),(60041,2),(60042,2),(60043,5),(60044,3),(60045,9),(60046,7),(60047,8),(60048,8),(60049,3),(60050,9),(60051,9),(60052,5),(60053,7),(60054,8),(60055,2),(60056,7),(60057,6),(60058,8),(60059,2),(60060,5),(60061,7),(60062,7),(60063,9),(60064,5),(60065,2),(60066,3),(60067,8),(60068,1),(60069,7),(60070,5),(60071,3),(60072,1),(60073,5),(60074,1),(60075,8),(60076,2),(60077,8),(60078,1),(60079,5),(60080,1),(60081,2),(60082,4),(60083,4),(60084,4),(60085,7),(60086,8),(60087,4),(60088,8),(60089,9),(60090,5),(60091,7),(60092,5),(60093,1),(60094,6),(60095,7),(60096,1),(60097,5),(60098,5),(60099,4),(60100,4),(60101,6),(60102,2),(60103,6),(60104,3),(60105,7),(60106,6),(60107,4),(60108,4),(60109,5),(60110,9),(60111,9),(60112,6),(60113,2),(60114,5),(60115,6),(60116,7),(60117,7),(60118,1),(60119,5),(60120,9),(60121,8),(60122,1),(60123,8),(60124,6),(60125,2),(60126,2),(60127,3),(60128,6),(60129,3),(60130,4),(60131,5),(60132,2),(60133,7),(60134,8),(60135,3),(60136,6),(60137,7),(60138,2),(60139,9),(60140,8),(60141,9),(60142,6),(60143,3),(60144,2),(60145,3),(60146,7),(60147,6),(60148,9),(60149,4),(60150,2),(60151,1),(60152,4),(60153,4),(60154,8),(60155,1),(60156,9),(60157,3),(60158,8),(60159,9),(60160,5),(60161,1),(60162,2),(60163,6),(60164,5),(60165,8),(60166,3),(60167,2),(60168,4),(60169,7),(60170,6),(60171,3),(60172,7),(60173,2),(60174,3),(60175,4),(60176,9),(60177,9),(60178,9),(60179,2),(60180,1),(60181,8),(60182,8),(60183,4),(60184,3),(60185,6),(60186,9),(60187,9),(60188,8),(60189,3),(60190,7),(60191,9),(60192,3),(60193,1),(60194,5),(60195,8),(60196,7),(60197,3),(60198,5),(60199,7),(60200,6),(60201,6),(60202,9),(60203,1),(60204,4),(60205,1),(60206,5),(60207,6),(60208,4),(60209,7),(60210,4),(60211,5),(60212,7),(60213,7),(60214,9),(60215,8),(60216,4),(60217,4),(60218,4),(60219,6),(60220,4),(60221,2),(60222,6),(60223,5),(60224,8),(60225,5),(60226,9),(60227,2),(60228,6),(60229,1),(60230,3),(60231,5),(60232,7),(60233,6),(60234,2),(60235,5),(60236,8),(60237,9),(60238,1),(60239,9),(60240,3),(60241,9),(60242,6),(60243,8),(60244,3),(60245,5),(60246,1),(60247,2),(60248,2),(60249,9),(60250,9),(60251,6),(60252,2),(60253,1),(60254,5),(60255,8),(60256,4),(60257,1),(60258,7),(60259,1),(60260,5),(60261,7),(60262,7),(60263,9),(60264,6),(60265,5),(60266,4),(60267,8),(60268,4),(60269,1),(60270,9),(60271,1),(60272,5),(60273,5),(60274,3),(60275,6),(60276,1),(60277,4),(60278,8),(60279,1),(60280,4),(60281,5),(60282,5),(60283,9),(60284,1),(60285,7),(60286,6),(60287,5),(60288,1),(60289,5),(60290,3),(60291,7),(60292,7),(60293,7),(60294,4),(60295,8),(60296,7),(60297,8),(60298,8),(60299,3),(60300,3),(60301,4),(60302,4),(60303,3),(60304,9),(60305,9),(60306,2),(60307,4),(60308,7),(60309,7),(60310,2),(60311,4),(60312,1),(60313,1),(60314,3),(60315,5),(60316,3),(60317,3),(60318,4),(60319,9),(60320,3),(60321,1),(60322,9),(60323,7),(60324,1),(60325,8),(60326,1),(60327,2),(60328,7),(60329,7),(60330,1),(60331,3),(60332,8),(60333,4),(60334,3),(60335,3),(60336,4),(60337,8),(60338,2),(60339,3),(60340,8),(60341,5),(60342,4),(60343,3),(60344,9),(60345,6),(60346,3),(60347,1),(60348,3),(60349,5),(60350,5),(60351,7),(60352,6),(60353,2),(60354,2),(60355,9),(60356,1),(60357,4),(60358,9),(60359,6),(60360,4),(60361,7),(60362,9),(60363,7),(60364,5),(60365,4),(60366,3),(60367,3),(60368,4),(60369,6),(60370,9),(60371,9),(60372,2),(60373,9),(60374,3),(60375,3),(60376,1),(60377,5),(60378,9),(60379,2),(60380,5),(60381,6),(60382,6),(60383,5),(60384,7),(60385,3),(60386,5),(60387,4),(60388,6),(60389,5),(60390,8),(60391,9),(60392,2),(60393,6),(60394,9),(60395,4),(60396,4),(60397,2),(60398,9),(60399,6),(60400,3),(60401,4),(60402,2),(60403,8),(60404,8),(60405,8),(60406,3),(60407,4),(60408,6),(60409,2),(60410,7),(60411,4),(60412,5),(60413,2),(60414,4),(60415,8),(60416,8),(60417,1),(60418,3),(60419,1),(60420,1),(60421,1),(60422,8),(60423,5),(60424,5),(60425,7),(60426,6),(60427,7),(60428,5),(60429,6),(60430,4),(60431,5),(60432,2),(60433,9),(60434,6),(60435,2),(60436,6),(60437,6),(60438,2),(60439,1),(60440,3),(60441,1),(60442,7),(60443,2),(60444,1),(60445,1),(60446,2),(60447,9),(60448,2),(60449,7),(60450,8),(60451,7),(60452,5),(60453,7),(60454,8),(60455,9),(60456,3),(60457,6),(60458,8),(60459,1),(60460,9),(60461,6),(60462,9),(60463,8),(60464,9),(60465,8),(60466,8),(60467,5),(60468,8),(60469,2),(60470,2),(60471,7),(60472,9),(60473,2),(60474,9),(60475,3),(60476,1),(60477,7),(60478,2),(60479,9),(60480,4),(60481,7),(60482,8),(60483,9),(60484,6),(60485,8),(60486,8),(60487,9),(60488,7),(60489,9),(60490,7),(60491,2),(60492,6),(60493,4),(60494,1),(60495,7),(60496,5),(60497,4),(60498,3),(60499,4),(60500,3),(60501,1),(60502,4),(60503,9),(60504,1),(60505,7),(60506,5),(60507,4),(60508,4),(60509,5),(60510,8),(60511,4),(60512,4),(60513,5),(60514,8),(60515,1),(60516,1),(60517,9),(60518,5),(60519,7),(60520,7),(60521,4),(60522,5),(60523,7),(60524,1),(60525,6),(60526,6),(60527,8),(60528,2),(60529,8),(60530,6),(60531,2),(60532,4),(60533,6),(60534,8),(60535,3),(60536,6),(60537,7),(60538,6),(60539,9),(60540,3),(60541,4),(60542,3),(60543,5),(60544,4),(60545,1),(60546,1),(60547,7),(60548,5),(60549,4),(60550,6),(60551,6),(60552,5),(60553,3),(60554,5),(60555,5),(60556,8),(60557,5),(60558,6),(60559,9),(60560,5),(60561,8),(60562,4),(60563,3),(60564,3),(60565,8),(60566,3),(60567,6),(60568,2),(60569,1),(60570,1),(60571,4),(60572,8),(60573,8),(60574,8),(60575,2),(60576,7),(60577,7),(60578,9),(60579,6),(60580,1),(60581,5),(60582,6),(60583,5),(60584,1),(60585,4),(60586,8),(60587,5),(60588,3),(60589,4),(60590,1),(60591,7),(60592,3),(60593,7),(60594,9),(60595,1),(60596,8),(60597,8),(60598,3),(60599,8),(60600,1),(60601,4),(60602,5),(60603,6),(60604,9),(60605,4),(60606,6),(60607,4),(60608,1),(60609,3),(60610,5),(60611,8),(60612,6),(60613,5),(60614,9),(60615,5),(60616,4),(60617,2),(60618,6),(60619,9),(60620,4),(60621,6),(60622,7),(60623,6),(60624,3),(60625,8),(60626,8),(60627,8),(60628,1),(60629,4),(60630,6),(60631,9),(60632,8),(60633,2),(60634,4),(60635,5),(60636,8),(60637,8),(60638,2),(60639,4),(60640,5),(60641,2),(60642,5),(60643,6),(60644,8),(60645,1),(60646,9),(60647,7),(60648,7),(60649,4),(60650,6),(60651,9),(60652,7),(60653,7),(60654,1),(60655,8),(60656,4),(60657,8),(60658,6),(60659,7),(60660,2),(60661,2),(60662,4),(60663,2),(60664,2),(60665,9),(60666,4),(60667,7),(60668,6),(60669,4),(60670,9),(60671,6),(60672,3),(60673,8),(60674,6),(60675,7),(60676,2),(60677,7),(60678,1),(60679,1),(60680,1),(60681,6),(60682,7),(60683,7),(60684,1),(60685,6),(60686,4),(60687,9),(60688,8),(60689,5),(60690,8),(60691,6),(60692,7),(60693,4),(60694,7),(60695,8),(60696,1),(60697,3),(60698,8),(60699,1),(60700,9),(60701,8),(60702,6),(60703,8),(60704,4),(60705,8),(60706,5),(60707,5),(60708,5),(60709,1),(60710,7),(60711,6),(60712,5),(60713,8),(60714,1),(60715,8),(60716,5),(60717,8),(60718,9),(60719,1),(60720,6),(60721,7),(60722,2),(60723,8),(60724,5),(60725,8),(60726,2),(60727,5),(60728,1),(60729,8),(60730,4),(60731,4),(60732,5),(60733,9),(60734,4),(60735,6),(60736,1),(60737,2),(60738,5),(60739,1),(60740,2),(60741,5),(60742,4),(60743,9),(60744,2),(60745,9),(60746,3),(60747,2),(60748,7),(60749,3),(60750,3),(60751,2),(60752,8),(60753,5),(60754,6),(60755,2),(60756,9),(60757,2),(60758,5),(60759,5),(60760,1),(60761,4),(60762,6),(60763,1),(60764,3),(60765,2),(60766,1),(60767,1),(60768,6),(60769,2),(60770,3),(60771,7),(60772,8),(60773,5),(60774,9),(60775,9),(60776,1),(60777,4),(60778,4),(60779,5),(60780,6),(60781,2),(60782,4),(60783,4),(60784,3),(60785,1),(60786,5),(60787,1),(60788,7),(60789,5),(60790,1),(60791,4),(60792,5),(60793,8),(60794,8),(60795,1),(60796,4),(60797,4),(60798,6),(60799,5),(60800,7),(60801,3),(60802,3),(60803,3),(60804,2),(60805,7),(60806,6),(60807,6),(60808,2),(60809,7),(60810,5),(60811,1),(60812,2),(60813,7),(60814,6),(60815,6),(60816,8),(60817,9),(60818,7),(60819,6),(60820,7),(60821,5),(60822,3),(60823,5),(60824,9),(60825,9),(60826,9),(60827,2),(60828,5),(60829,8),(60830,7),(60831,1),(60832,7),(60833,1),(60834,1),(60835,9),(60836,5),(60837,1),(60838,9),(60839,4),(60840,4),(60841,7),(60842,8),(60843,1),(60844,9),(60845,9),(60846,6),(60847,1),(60848,7),(60849,8),(60850,9),(60851,9),(60852,7),(60853,6),(60854,9),(60855,2),(60856,8),(60857,2),(60858,8),(60859,7),(60860,1),(60861,8),(60862,4),(60863,3),(60864,3),(60865,6),(60866,4),(60867,3),(60868,8),(60869,7),(60870,1),(60871,4),(60872,6),(60873,8),(60874,2),(60875,6),(60876,8),(60877,9),(60878,3),(60879,6),(60880,5),(60881,7),(60882,9),(60883,4),(60884,6),(60885,6),(60886,9),(60887,9),(60888,7),(60889,8),(60890,1),(60891,7),(60892,1),(60893,9),(60894,9),(60895,3),(60896,7),(60897,8),(60898,2),(60899,5),(60900,9),(60901,2),(60902,2),(60903,8),(60904,2),(60905,8),(60906,8),(60907,7),(60908,7),(60909,7),(60910,6),(60911,9),(60912,4),(60913,3),(60914,6),(60915,9),(60916,3),(60917,7),(60918,5),(60919,6),(60920,6),(60921,6),(60922,3),(60923,9),(60924,1),(60925,8),(60926,1),(60927,7),(60928,9),(60929,5),(60930,1),(60931,8),(60932,5),(60933,9),(60934,7),(60935,9),(60936,5),(60937,5),(60938,1),(60939,4),(60940,9),(60941,2),(60942,8),(60943,4),(60944,5),(60945,2),(60946,3),(60947,9),(60948,7),(60949,5),(60950,2),(60951,8),(60952,1),(60953,7),(60954,9),(60955,2),(60956,4),(60957,5),(60958,9),(60959,1),(60960,7),(60961,2),(60962,1),(60963,4),(60964,9),(60965,3),(60966,3),(60967,9),(60968,7),(60969,2),(60970,3),(60971,3),(60972,5),(60973,9),(60974,1),(60975,9),(60976,7),(60977,6),(60978,6),(60979,8),(60980,1),(60981,2),(60982,4),(60983,3),(60984,5),(60985,3),(60986,1),(60987,7),(60988,8),(60989,7),(60990,5),(60991,2),(60992,1),(60993,4),(60994,5),(60995,5),(60996,5),(60997,2),(60998,2),(60999,4),(61000,5),(61001,8),(61002,8),(61003,7),(61004,5),(61005,8),(61006,7),(61007,8),(61008,3),(61009,9),(61010,6),(61011,2),(61012,2),(61013,2),(61014,2),(61015,7),(61016,2),(61017,3),(61018,1),(61019,8),(61020,9),(61021,8),(61022,6),(61023,2),(61024,8),(61025,3),(61026,8),(61027,8),(61028,5),(61029,2),(61030,1),(61031,8),(61032,6),(61033,8),(61034,9),(61035,7),(61036,7),(61037,6),(61038,9),(61039,4),(61040,9),(61041,6),(61042,5),(61043,3),(61044,4),(61045,3),(61046,9),(61047,7),(61048,2),(61049,8),(61050,3),(61051,4),(61052,9),(61053,6),(61054,3),(61055,6),(61056,3),(61057,5),(61058,7),(61059,1),(61060,4),(61061,2),(61062,5),(61063,6),(61064,3),(61065,6),(61066,4),(61067,5),(61068,9),(61069,8),(61070,4),(61071,9),(61072,5),(61073,2),(61074,7),(61075,2),(61076,1),(61077,3),(61078,5),(61079,9),(61080,2),(61081,3),(61082,1),(61083,7),(61084,5),(61085,1),(61086,3),(61087,9),(61088,6),(61089,9),(61090,2),(61091,5),(61092,9),(61093,7),(61094,4),(61095,8),(61096,7),(61097,9),(61098,9),(61099,9),(61100,8),(61101,3),(61102,2),(61103,3),(61104,6),(61105,5),(61106,4),(61107,8),(61108,6),(61109,2),(61110,1),(61111,3),(61112,7),(61113,9),(61114,8),(61115,3),(61116,5),(61117,8),(61118,9),(61119,6),(61120,7),(61121,2),(61122,3),(61123,8),(61124,4),(61125,2),(61126,6),(61127,3),(61128,5),(61129,2),(61130,6),(61131,1),(61132,6),(61133,2),(61134,2),(61135,3),(61136,8),(61137,3),(61138,4),(61139,2),(61140,4),(61141,1),(61142,2),(61143,4),(61144,6),(61145,7),(61146,7),(61147,4),(61148,8),(61149,9),(61150,4),(61151,5),(61152,7),(61153,6),(61154,1),(61155,3),(61156,5),(61157,2),(61158,5),(61159,3),(61160,6),(61161,2),(61162,7),(61163,1),(61164,7),(61165,6),(61166,8),(61167,2),(61168,5),(61169,1),(61170,9),(61171,7),(61172,7),(61173,6),(61174,6),(61175,8),(61176,4),(61177,7),(61178,5),(61179,3),(61180,3),(61181,8),(61182,9),(61183,4),(61184,3),(61185,4),(61186,6),(61187,6),(61188,2),(61189,7),(61190,6),(61191,8),(61192,9),(61193,6),(61194,2),(61195,8),(61196,9),(61197,9),(61198,6),(61199,7),(61200,6),(61201,1),(61202,6),(61203,4),(61204,3),(61205,7),(61206,7),(61207,4),(61208,7),(61209,8),(61210,2),(61211,4),(61212,7),(61213,9),(61214,1),(61215,7),(61216,5),(61217,1),(61218,5),(61219,9),(61220,8),(61221,6),(61222,9),(61223,4),(61224,8),(61225,2),(61226,6),(61227,2),(61228,1),(61229,5),(61230,4),(61231,4),(61232,5),(61233,1),(61234,6),(61235,1),(61236,1),(61237,9),(61238,1),(61239,2),(61240,6),(61241,2),(61242,4),(61243,3),(61244,1),(61245,7),(61246,1),(61247,2),(61248,2),(61249,7),(61250,1),(61251,5),(61252,9),(61253,8),(61254,4),(61255,3),(61256,1),(61257,2),(61258,8),(61259,1),(61260,8),(61261,9),(61262,6),(61263,9),(61264,2),(61265,1),(61266,2),(61267,6),(61268,6),(61269,1),(61270,4),(61271,7),(61272,4),(61273,3),(61274,8),(61275,1),(61276,1),(61277,2),(61278,9),(61279,3),(61280,5),(61281,5),(61282,8),(61283,6),(61284,8),(61285,3),(61286,1),(61287,2),(61288,9),(61289,7),(61290,5),(61291,8),(61292,2),(61293,9),(61294,8),(61295,7),(61296,3),(61297,3),(61298,6),(61299,1),(61300,2),(61301,5),(61302,4),(61303,8),(61304,8),(61305,4),(61306,3),(61307,3),(61308,4),(61309,2),(61310,1),(61311,1),(61312,1),(61313,7),(61314,4),(61315,5),(61316,7),(61317,2),(61318,3),(61319,7),(61320,1),(61321,4),(61322,8),(61323,2),(61324,9),(61325,6),(61326,6),(61327,7),(61328,5),(61329,8),(61330,5),(61331,4),(61332,6),(61333,8),(61334,3),(61335,8),(61336,1),(61337,9),(61338,5),(61339,4),(61340,8),(61341,6),(61342,5),(61343,6),(61344,8),(61345,3),(61346,2),(61347,8),(61348,3),(61349,2),(61350,4),(61351,3),(61352,6),(61353,3),(61354,2),(61355,5),(61356,3),(61357,3),(61358,8),(61359,2),(61360,3),(61361,9),(61362,1),(61363,2),(61364,8),(61365,3),(61366,5),(61367,1),(61368,6),(61369,2),(61370,7),(61371,2),(61372,2),(61373,1),(61374,2),(61375,3),(61376,8),(61377,4),(61378,9),(61379,1),(61380,5),(61381,1),(61382,2),(61383,2),(61384,5),(61385,8),(61386,5),(61387,4),(61388,4),(61389,4),(61390,5),(61391,5),(61392,5),(61393,1),(61394,5),(61395,5),(61396,8),(61397,6),(61398,8),(61399,3),(61400,6),(61401,8),(61402,5),(61403,8),(61404,6),(61405,5),(61406,5),(61407,5),(61408,5),(61409,2),(61410,7),(61411,7),(61412,4),(61413,1),(61414,8),(61415,9),(61416,9),(61417,1),(61418,6),(61419,9),(61420,8),(61421,2),(61422,1),(61423,2),(61424,5),(61425,7),(61426,4),(61427,4),(61428,7),(61429,1),(61430,6),(61431,3),(61432,8),(61433,3),(61434,7),(61435,2),(61436,2),(61437,5),(61438,1),(61439,1),(61440,1),(61441,6),(61442,4),(61443,9),(61444,2),(61445,8),(61446,4),(61447,6),(61448,4),(61449,6),(61450,1),(61451,2),(61452,9),(61453,5),(61454,5),(61455,6),(61456,4),(61457,4),(61458,8),(61459,1),(61460,3),(61461,1),(61462,3),(61463,1),(61464,7),(61465,3),(61466,9),(61467,2),(61468,1),(61469,7),(61470,3),(61471,8),(61472,2),(61473,4),(61474,9),(61475,3),(61476,4),(61477,2),(61478,8),(61479,9),(61480,9),(61481,4),(61482,8),(61483,4),(61484,9),(61485,5),(61486,4),(61487,1),(61488,1),(61489,4),(61490,7),(61491,9),(61492,5),(61493,9),(61494,3),(61495,4),(61496,1),(61497,2),(61498,5),(61499,4),(61500,6),(61501,7),(61502,3),(61503,6),(61504,8),(61505,7),(61506,3),(61507,7),(61508,1),(61509,5),(61510,4),(61511,4),(61512,6),(61513,7),(61514,9),(61515,8),(61516,2),(61517,6),(61518,9),(61519,3),(61520,7),(61521,8),(61522,6),(61523,2),(61524,7),(61525,8),(61526,7),(61527,9),(61528,1),(61529,4),(61530,1),(61531,3),(61532,1),(61533,8),(61534,3),(61535,9),(61536,9),(61537,1),(61538,3),(61539,6),(61540,3),(61541,5),(61542,5),(61543,9),(61544,5),(61545,1),(61546,8),(61547,4),(61548,3),(61549,3),(61550,7),(61551,8),(61552,9),(61553,8),(61554,4),(61555,1),(61556,8),(61557,8),(61558,3),(61559,4),(61560,6),(61561,1),(61562,2),(61563,1),(61564,2),(61565,9),(61566,9),(61567,5),(61568,4),(61569,1),(61570,3),(61571,6),(61572,9),(61573,7),(61574,6),(61575,9),(61576,1),(61577,6),(61578,3),(61579,5),(61580,3),(61581,8),(61582,4),(61583,5),(61584,2),(61585,9),(61586,3),(61587,4),(61588,3),(61589,5),(61590,1),(61591,1),(61592,1),(61593,6),(61594,9),(61595,7),(61596,2),(61597,6),(61598,9),(61599,8),(61600,1),(61601,3),(61602,3),(61603,7),(61604,7),(61605,5),(61606,1),(61607,8),(61608,4),(61609,2),(61610,6),(61611,7),(61612,3),(61613,2),(61614,7),(61615,4),(61616,7),(61617,2),(61618,2),(61619,9),(61620,1),(61621,1),(61622,1),(61623,1),(61624,2),(61625,6),(61626,3),(61627,7),(61628,4),(61629,7),(61630,5),(61631,1),(61632,1),(61633,5),(61634,8),(61635,3),(61636,2),(61637,3),(61638,1),(61639,1),(61640,3),(61641,7),(61642,8),(61643,5),(61644,9),(61645,8),(61646,6),(61647,3),(61648,8),(61649,7),(61650,2),(61651,9),(61652,8),(61653,5),(61654,1),(61655,4),(61656,8),(61657,2),(61658,9),(61659,4),(61660,2),(61661,3),(61662,5),(61663,4),(61664,9),(61665,8),(61666,4),(61667,3),(61668,1),(61669,8),(61670,1),(61671,5),(61672,6),(61673,2),(61674,2),(61675,3),(61676,3),(61677,5),(61678,5),(61679,1),(61680,9),(61681,7),(61682,5),(61683,7),(61684,9),(61685,4),(61686,5),(61687,7),(61688,1),(61689,2),(61690,9),(61691,3),(61692,6),(61693,2),(61694,3),(61695,9),(61696,1),(61697,3),(61698,8),(61699,1),(61700,2),(61701,9),(61702,1),(61703,4),(61704,1),(61705,9),(61706,4),(61707,1),(61708,6),(61709,4),(61710,5),(61711,4),(61712,4),(61713,6),(61714,5),(61715,6),(61716,8),(61717,5),(61718,3),(61719,6),(61720,2),(61721,1),(61722,3),(61723,9),(61724,6),(61725,5),(61726,3),(61727,1),(61728,1),(61729,6),(61730,7),(61731,6),(61732,7),(61733,7),(61734,1),(61735,8),(61736,1),(61737,6),(61738,1),(61739,1),(61740,5),(61741,4),(61742,4),(61743,1),(61744,1),(61745,8),(61746,7),(61747,7),(61748,5),(61749,4),(61750,2),(61751,7),(61752,7),(61753,6),(61754,2),(61755,4),(61756,5),(61757,2),(61758,4),(61759,8),(61760,3),(61761,6),(61762,5),(61763,2),(61764,7),(61765,3),(61766,8),(61767,7),(61768,9),(61769,4),(61770,2),(61771,1),(61772,7),(61773,3),(61774,5),(61775,7),(61776,5),(61777,7),(61778,8),(61779,5),(61780,3),(61781,2),(61782,7),(61783,3),(61784,3),(61785,5),(61786,5),(61787,9),(61788,5),(61789,7),(61790,1),(61791,2),(61792,2),(61793,4),(61794,1),(61795,1),(61796,8),(61797,5),(61798,2),(61799,1),(61800,6),(61801,4),(61802,6),(61803,6),(61804,4),(61805,8),(61806,9),(61807,9),(61808,1),(61809,3),(61810,2),(61811,1),(61812,8),(61813,2),(61814,1),(61815,8),(61816,9),(61817,3),(61818,6),(61819,8),(61820,2),(61821,7),(61822,8),(61823,1),(61824,2),(61825,3),(61826,5),(61827,4),(61828,7),(61829,2),(61830,2),(61831,2),(61832,1),(61833,7),(61834,4),(61835,5),(61836,8),(61837,1),(61838,9),(61839,4),(61840,3),(61841,9),(61842,5),(61843,4),(61844,6),(61845,9),(61846,4),(61847,5),(61848,4),(61849,8),(61850,6),(61851,6),(61852,3),(61853,8),(61854,4),(61855,1),(61856,8),(61857,5),(61858,6),(61859,1),(61860,1),(61861,2),(61862,4),(61863,2),(61864,9),(61865,8),(61866,9),(61867,1),(61868,1),(61869,8),(61870,8),(61871,4),(61872,7),(61873,9),(61874,3),(61875,3),(61876,1),(61877,7),(61878,6),(61879,9),(61880,7),(61881,5),(61882,9),(61883,9),(61884,7),(61885,2),(61886,1),(61887,9),(61888,4),(61889,5),(61890,4),(61891,1),(61892,9),(61893,3),(61894,3),(61895,5),(61896,5),(61897,7),(61898,7),(61899,1),(61900,8),(61901,8),(61902,8),(61903,4),(61904,6),(61905,7),(61906,8),(61907,5),(61908,7),(61909,1),(61910,5),(61911,7),(61912,4),(61913,9),(61914,2),(61915,3),(61916,5),(61917,3),(61918,5),(61919,4),(61920,6),(61921,5),(61922,3),(61923,9),(61924,3),(61925,9),(61926,3),(61927,2),(61928,5),(61929,3),(61930,1),(61931,8),(61932,4),(61933,1),(61934,3),(61935,8),(61936,8),(61937,1),(61938,2),(61939,2),(61940,6),(61941,2),(61942,9),(61943,1),(61944,1),(61945,7),(61946,9),(61947,1),(61948,6),(61949,3),(61950,9),(61951,8),(61952,2),(61953,7),(61954,9),(61955,5),(61956,8),(61957,1),(61958,8),(61959,3),(61960,2),(61961,2),(61962,8),(61963,2),(61964,9),(61965,3),(61966,8),(61967,9),(61968,8),(61969,9),(61970,4),(61971,4),(61972,9),(61973,4),(61974,3),(61975,5),(61976,3),(61977,9),(61978,2),(61979,8),(61980,8),(61981,2),(61982,5),(61983,2),(61984,8),(61985,4),(61986,4),(61987,2),(61988,1),(61989,7),(61990,8),(61991,6),(61992,8),(61993,6),(61994,8),(61995,7),(61996,5),(61997,7),(61998,5),(61999,4),(62000,1),(62001,8),(62002,2),(62003,8),(62004,3),(62005,2),(62006,4),(62007,5),(62008,2),(62009,5),(62010,8),(62011,2),(62012,8),(62013,8),(62014,4),(62015,1),(62016,9),(62017,9),(62018,2),(62019,6),(62020,7),(62021,8),(62022,2),(62023,3),(62024,1),(62025,7),(62026,6),(62027,5),(62028,5),(62029,7),(62030,7),(62031,2),(62032,4),(62033,4),(62034,7),(62035,1),(62036,8),(62037,4),(62038,7),(62039,3),(62040,3),(62041,3),(62042,4),(62043,2),(62044,8),(62045,5),(62046,1),(62047,9),(62048,6),(62049,9),(62050,9),(62051,1),(62052,4),(62053,7),(62054,1),(62055,6),(62056,1),(62057,7),(62058,3),(62059,3),(62060,4),(62061,4),(62062,2),(62063,8),(62064,2),(62065,8),(62066,2),(62067,8),(62068,6),(62069,1),(62070,3),(62071,6),(62072,6),(62073,7),(62074,7),(62075,1),(62076,5),(62077,7),(62078,6),(62079,5),(62080,8),(62081,3),(62082,7),(62083,7),(62084,6),(62085,7),(62086,8),(62087,6),(62088,8),(62089,5),(62090,5),(62091,3),(62092,2),(62093,9),(62094,8),(62095,1),(62096,1),(62097,1),(62098,1),(62099,5),(62100,8),(62101,4),(62102,8),(62103,4),(62104,7),(62105,4),(62106,3),(62107,6),(62108,2),(62109,1),(62110,1),(62111,8),(62112,3),(62113,3),(62114,2),(62115,1),(62116,6),(62117,3),(62118,5),(62119,8),(62120,2),(62121,3),(62122,7),(62123,9),(62124,6),(62125,1),(62126,1),(62127,1),(62128,5),(62129,6),(62130,7),(62131,7),(62132,1),(62133,3),(62134,1),(62135,7),(62136,2),(62137,8),(62138,2),(62139,9),(62140,2),(62141,3),(62142,1),(62143,8),(62144,5),(62145,8),(62146,3),(62147,6),(62148,8),(62149,2),(62150,8),(62151,9),(62152,5),(62153,2),(62154,3),(62155,1),(62156,8),(62157,3),(62158,2),(62159,7),(62160,2),(62161,5),(62162,3),(62163,5),(62164,5),(62165,3),(62166,9),(62167,9),(62168,2),(62169,1),(62170,4),(62171,6),(62172,4),(62173,7),(62174,4),(62175,1),(62176,7),(62177,1),(62178,4),(62179,1),(62180,5),(62181,6),(62182,3),(62183,8),(62184,4),(62185,3),(62186,6),(62187,9),(62188,4),(62189,8),(62190,8),(62191,2),(62192,9),(62193,3),(62194,2),(62195,3),(62196,7),(62197,3),(62198,5),(62199,4),(62200,4),(62201,5),(62202,8),(62203,5),(62204,3),(62205,6),(62206,5),(62207,2),(62208,9),(62209,4),(62210,4),(62211,5),(62212,5),(62213,8),(62214,1),(62215,1),(62216,9),(62217,9),(62218,9),(62219,9),(62220,9),(62221,4),(62222,8),(62223,1),(62224,8),(62225,9),(62226,2),(62227,3),(62228,2),(62229,4),(62230,3),(62231,1),(62232,1),(62233,2),(62234,4),(62235,8),(62236,3),(62237,1),(62238,5),(62239,7),(62240,7),(62241,2),(62242,4),(62243,3),(62244,3),(62245,1),(62246,5),(62247,9),(62248,6),(62249,3),(62250,2),(62251,1),(62252,9),(62253,1),(62254,3),(62255,9),(62256,8),(62257,3),(62258,7),(62259,7),(62260,8),(62261,7),(62262,9),(62263,5),(62264,4),(62265,5),(62266,5),(62267,9),(62268,8),(62269,1),(62270,1),(62271,6),(62272,1),(62273,8),(62274,5),(62275,4),(62276,4),(62277,1),(62278,1),(62279,4),(62280,3),(62281,3),(62282,5),(62283,2),(62284,7),(62285,8),(62286,4),(62287,5),(62288,5),(62289,5),(62290,7),(62291,9),(62292,1),(62293,2),(62294,7),(62295,5),(62296,2),(62297,2),(62298,4),(62299,9),(62300,2),(62301,6),(62302,6),(62303,5),(62304,3),(62305,1),(62306,3),(62307,7),(62308,5),(62309,2),(62310,2),(62311,2),(62312,8),(62313,1),(62314,6),(62315,9),(62316,5),(62317,9),(62318,4),(62319,5),(62320,9),(62321,4),(62322,5),(62323,8),(62324,8),(62325,5),(62326,2),(62327,3),(62328,3),(62329,2),(62330,3),(62331,7),(62332,8),(62333,2),(62334,6),(62335,6),(62336,8),(62337,9),(62338,9),(62339,6),(62340,8),(62341,8),(62342,9),(62343,5),(62344,9),(62345,4),(62346,8),(62347,1),(62348,8),(62349,6),(62350,9),(62351,7),(62352,8),(62353,5),(62354,9),(62355,4),(62356,9),(62357,3),(62358,7),(62359,8),(62360,5),(62361,7),(62362,5),(62363,8),(62364,1),(62365,7),(62366,9),(62367,3),(62368,3),(62369,4),(62370,2),(62371,8),(62372,9),(62373,1),(62374,5),(62375,2),(62376,4),(62377,3),(62378,3),(62379,3),(62380,4),(62381,6),(62382,3),(62383,2),(62384,9),(62385,3),(62386,3),(62387,8),(62388,3),(62389,1),(62390,2),(62391,1),(62392,4),(62393,4),(62394,9),(62395,2),(62396,9),(62397,8),(62398,5),(62399,5),(62400,7),(62401,3),(62402,8),(62403,2),(62404,4),(62405,2),(62406,6),(62407,4),(62408,3),(62409,6),(62410,8),(62411,6),(62412,8),(62413,3),(62414,3),(62415,3),(62416,4),(62417,2),(62418,8),(62419,3),(62420,8),(62421,8),(62422,9),(62423,6),(62424,7),(62425,3),(62426,3),(62427,3),(62428,1),(62429,7),(62430,4),(62431,6),(62432,4),(62433,7),(62434,4),(62435,9),(62436,4),(62437,1),(62438,2),(62439,5),(62440,1),(62441,9),(62442,5),(62443,3),(62444,1),(62445,3),(62446,6),(62447,2),(62448,2),(62449,8),(62450,9),(62451,3),(62452,1),(62453,4),(62454,1),(62455,9),(62456,7),(62457,7),(62458,9),(62459,6),(62460,2),(62461,1),(62462,2),(62463,3),(62464,6),(62465,5),(62466,9),(62467,4),(62468,6),(62469,4),(62470,6),(62471,9),(62472,8),(62473,4),(62474,8),(62475,6),(62476,4),(62477,6),(62478,7),(62479,2),(62480,5),(62481,8),(62482,5),(62483,2),(62484,5),(62485,5),(62486,7),(62487,6),(62488,5),(62489,9),(62490,7),(62491,9),(62492,5),(62493,2),(62494,9),(62495,8),(62496,4),(62497,6),(62498,7),(62499,8),(62500,2),(62501,6),(62502,9),(62503,7),(62504,6),(62505,9),(62506,6),(62507,7),(62508,3),(62509,1),(62510,8),(62511,4),(62512,3),(62513,7),(62514,3),(62515,3),(62516,9),(62517,5),(62518,6),(62519,5),(62520,6),(62521,4),(62522,5),(62523,9),(62524,3),(62525,4),(62526,3),(62527,3),(62528,6),(62529,9),(62530,5),(62531,7),(62532,1),(62533,7),(62534,9),(62535,9),(62536,4),(62537,7),(62538,3),(62539,3),(62540,3),(62541,6),(62542,8),(62543,8),(62544,9),(62545,9),(62546,9),(62547,4),(62548,3),(62549,8),(62550,8),(62551,7),(62552,8),(62553,7),(62554,9),(62555,1),(62556,7),(62557,3),(62558,8),(62559,7),(62560,5),(62561,9),(62562,4),(62563,8),(62564,5),(62565,2),(62566,5),(62567,2),(62568,6),(62569,6),(62570,1),(62571,6),(62572,6),(62573,3),(62574,8),(62575,5),(62576,1),(62577,1),(62578,3),(62579,3),(62580,7),(62581,8),(62582,7),(62583,4),(62584,4),(62585,1),(62586,5),(62587,1),(62588,6),(62589,3),(62590,4),(62591,4),(62592,2),(62593,1),(62594,9),(62595,7),(62596,1),(62597,2),(62598,4),(62599,6),(62600,4),(62601,7),(62602,9),(62603,5),(62604,9),(62605,7),(62606,9),(62607,3),(62608,2),(62609,5),(62610,1),(62611,6),(62612,2),(62613,6),(62614,3),(62615,6),(62616,4),(62617,5),(62618,1),(62619,8),(62620,8),(62621,1),(62622,6),(62623,1),(62624,8),(62625,9),(62626,5),(62627,6),(62628,7),(62629,9),(62630,2),(62631,7),(62632,2),(62633,7),(62634,6),(62635,5),(62636,6),(62637,5),(62638,7),(62639,1),(62640,2),(62641,6),(62642,5),(62643,6),(62644,7),(62645,3),(62646,9),(62647,5),(62648,2),(62649,9),(62650,3),(62651,6),(62652,4),(62653,4),(62654,3),(62655,5),(62656,9),(62657,9),(62658,1),(62659,2),(62660,2),(62661,6),(62662,8),(62663,9),(62664,5),(62665,1),(62666,9),(62667,7),(62668,8),(62669,6),(62670,4),(62671,9),(62672,6),(62673,8),(62674,7),(62675,3),(62676,4),(62677,4),(62678,7),(62679,3),(62680,8),(62681,3),(62682,7),(62683,9),(62684,9),(62685,5),(62686,3),(62687,8),(62688,5),(62689,2),(62690,4),(62691,6),(62692,3),(62693,5),(62694,1),(62695,7),(62696,5),(62697,4),(62698,4),(62699,2),(62700,9),(62701,4),(62702,4),(62703,5),(62704,4),(62705,9),(62706,4),(62707,2),(62708,3),(62709,3),(62710,7),(62711,7),(62712,6),(62713,2),(62714,8),(62715,8),(62716,9),(62717,4),(62718,4),(62719,5),(62720,1),(62721,7),(62722,8),(62723,7),(62724,6),(62725,8),(62726,8),(62727,5),(62728,9),(62729,8),(62730,8),(62731,4),(62732,5),(62733,4),(62734,9),(62735,7),(62736,7),(62737,7),(62738,7),(62739,5),(62740,6),(62741,1),(62742,3),(62743,5),(62744,5),(62745,7),(62746,6),(62747,5),(62748,4),(62749,7),(62750,6),(62751,4),(62752,3),(62753,7),(62754,8),(62755,2),(62756,4),(62757,1),(62758,7),(62759,5),(62760,5),(62761,1),(62762,4),(62763,5),(62764,2),(62765,3),(62766,2),(62767,8),(62768,8),(62769,1),(62770,9),(62771,1),(62772,6),(62773,9),(62774,1),(62775,2),(62776,6),(62777,2),(62778,4),(62779,3),(62780,3),(62781,9),(62782,3),(62783,3),(62784,5),(62785,7),(62786,5),(62787,7),(62788,5),(62789,3),(62790,4),(62791,7),(62792,5),(62793,9),(62794,6),(62795,4),(62796,8),(62797,6),(62798,1),(62799,2),(62800,1),(62801,8),(62802,5),(62803,8),(62804,1),(62805,5),(62806,1),(62807,4),(62808,1),(62809,3),(62810,9),(62811,7),(62812,1),(62813,5),(62814,3),(62815,8),(62816,8),(62817,6),(62818,8),(62819,7),(62820,8),(62821,2),(62822,8),(62823,1),(62824,8),(62825,7),(62826,8),(62827,6),(62828,6),(62829,8),(62830,9),(62831,4),(62832,7),(62833,7),(62834,1),(62835,4),(62836,4),(62837,7),(62838,3),(62839,7),(62840,6),(62841,3),(62842,4),(62843,6),(62844,7),(62845,1),(62846,1),(62847,5),(62848,9),(62849,6),(62850,8),(62851,9),(62852,8),(62853,9),(62854,3),(62855,6),(62856,4),(62857,2),(62858,3),(62859,3),(62860,7),(62861,1),(62862,7),(62863,4),(62864,9),(62865,1),(62866,9),(62867,7),(62868,5),(62869,8),(62870,9),(62871,7),(62872,9),(62873,5),(62874,2),(62875,8),(62876,7),(62877,5),(62878,2),(62879,3),(62880,1),(62881,9),(62882,4),(62883,5),(62884,5),(62885,1),(62886,9),(62887,9),(62888,9),(62889,8),(62890,9),(62891,4),(62892,4),(62893,3),(62894,5),(62895,5),(62896,5),(62897,7),(62898,6),(62899,7),(62900,7),(62901,1),(62902,5),(62903,4),(62904,9),(62905,8),(62906,8),(62907,8),(62908,4),(62909,7),(62910,4),(62911,5),(62912,1),(62913,1),(62914,6),(62915,6),(62916,5),(62917,6),(62918,8),(62919,9),(62920,6),(62921,8),(62922,2),(62923,7),(62924,1),(62925,6),(62926,3),(62927,7),(62928,4),(62929,5),(62930,1),(62931,4),(62932,3),(62933,6),(62934,7),(62935,2),(62936,1),(62937,9),(62938,7),(62939,6),(62940,9),(62941,4),(62942,9),(62943,2),(62944,4),(62945,8),(62946,4),(62947,8),(62948,3),(62949,3),(62950,2),(62951,2),(62952,6),(62953,1),(62954,7),(62955,2),(62956,5),(62957,4),(62958,7),(62959,3),(62960,6),(62961,3),(62962,5),(62963,2),(62964,7),(62965,2),(62966,5),(62967,1),(62968,1),(62969,6),(62970,2),(62971,5),(62972,5),(62973,7),(62974,7),(62975,6),(62976,9),(62977,8),(62978,9),(62979,3),(62980,3),(62981,3),(62982,3),(62983,6),(62984,8),(62985,4),(62986,2),(62987,9),(62988,4),(62989,4),(62990,9),(62991,3),(62992,6),(62993,6),(62994,1),(62995,4),(62996,1),(62997,7),(62998,4),(62999,6),(63000,7),(63001,9),(63002,4),(63003,4),(63004,5),(63005,5),(63006,4),(63007,9),(63008,8),(63009,3),(63010,9),(63011,4),(63012,9),(63013,6),(63014,7),(63015,4),(63016,3),(63017,5),(63018,7),(63019,9),(63020,9),(63021,9),(63022,1),(63023,6),(63024,5),(63025,2),(63026,1),(63027,9),(63028,9),(63029,4),(63030,8),(63031,1),(63032,8),(63033,7),(63034,8),(63035,7),(63036,9),(63037,5),(63038,6),(63039,1),(63040,4),(63041,5),(63042,4),(63043,9),(63044,9),(63045,6),(63046,8),(63047,2),(63048,8),(63049,7),(63050,7),(63051,8),(63052,2),(63053,6),(63054,4),(63055,7),(63056,4),(63057,4),(63058,3),(63059,9),(63060,1),(63061,4),(63062,7),(63063,4),(63064,8),(63065,9),(63066,7),(63067,4),(63068,2),(63069,3),(63070,3),(63071,7),(63072,8),(63073,7),(63074,5),(63075,2),(63076,2),(63077,6),(63078,2),(63079,1),(63080,9),(63081,4),(63082,7),(63083,7),(63084,3),(63085,3),(63086,8),(63087,4),(63088,4),(63089,3),(63090,3),(63091,9),(63092,7),(63093,8),(63094,3),(63095,3),(63096,6),(63097,4),(63098,3),(63099,3),(63100,4),(63101,6),(63102,6),(63103,9),(63104,2),(63105,3),(63106,3),(63107,7),(63108,4),(63109,3),(63110,9),(63111,1),(63112,4),(63113,4),(63114,5),(63115,6),(63116,1),(63117,1),(63118,9),(63119,2),(63120,6),(63121,6),(63122,7),(63123,4),(63124,5),(63125,9),(63126,3),(63127,4),(63128,9),(63129,7),(63130,8),(63131,2),(63132,5),(63133,3),(63134,2),(63135,8),(63136,5),(63137,3),(63138,6),(63139,7),(63140,6),(63141,5),(63142,8),(63143,1),(63144,3),(63145,3),(63146,1),(63147,3),(63148,6),(63149,5),(63150,5),(63151,3),(63152,7),(63153,5),(63154,8),(63155,8),(63156,6),(63157,3),(63158,5),(63159,9),(63160,2),(63161,3),(63162,8),(63163,7),(63164,4),(63165,2),(63166,1),(63167,8),(63168,6),(63169,9),(63170,5),(63171,9),(63172,5),(63173,2),(63174,4),(63175,2),(63176,8),(63177,1),(63178,8),(63179,7),(63180,2),(63181,8),(63182,2),(63183,7),(63184,4),(63185,7),(63186,1),(63187,5),(63188,8),(63189,5),(63190,4),(63191,1),(63192,5),(63193,5),(63194,8),(63195,9),(63196,6),(63197,1),(63198,9),(63199,7),(63200,3),(63201,3),(63202,4),(63203,6),(63204,5),(63205,6),(63206,9),(63207,4),(63208,4),(63209,5),(63210,9),(63211,1),(63212,5),(63213,2),(63214,1),(63215,9),(63216,1),(63217,5),(63218,8),(63219,1),(63220,1),(63221,7),(63222,2),(63223,2),(63224,8),(63225,7),(63226,2),(63227,7),(63228,3),(63229,5),(63230,5),(63231,6),(63232,4),(63233,3),(63234,3),(63235,9),(63236,4),(63237,7),(63238,1),(63239,5),(63240,9),(63241,1),(63242,6),(63243,3),(63244,3),(63245,3),(63246,7),(63247,5),(63248,6),(63249,7),(63250,8),(63251,6),(63252,4),(63253,7),(63254,9),(63255,5),(63256,9),(63257,9),(63258,1),(63259,6),(63260,1),(63261,9),(63262,7),(63263,4),(63264,5),(63265,4),(63266,2),(63267,3),(63268,8),(63269,4),(63270,3),(63271,2),(63272,3),(63273,1),(63274,4),(63275,4),(63276,9),(63277,9),(63278,3),(63279,2),(63280,1),(63281,6),(63282,6),(63283,3),(63284,1),(63285,7),(63286,9),(63287,2),(63288,8),(63289,2),(63290,9),(63291,2),(63292,5),(63293,1),(63294,4),(63295,6),(63296,8),(63297,7),(63298,2),(63299,4),(63300,8),(63301,3),(63302,3),(63303,3),(63304,7),(63305,8),(63306,2),(63307,7),(63308,1),(63309,3),(63310,6),(63311,8),(63312,9),(63313,7),(63314,5),(63315,3),(63316,6),(63317,9),(63318,3),(63319,2),(63320,1),(63321,3),(63322,9),(63323,4),(63324,2),(63325,3),(63326,7),(63327,3),(63328,2),(63329,4),(63330,1),(63331,1),(63332,4),(63333,5),(63334,3),(63335,9),(63336,2),(63337,1),(63338,1),(63339,9),(63340,8),(63341,5),(63342,7),(63343,3),(63344,8),(63345,2),(63346,9),(63347,7),(63348,2),(63349,7),(63350,9),(63351,5),(63352,9),(63353,8),(63354,4),(63355,5),(63356,7),(63357,8),(63358,7),(63359,7),(63360,1),(63361,4),(63362,7),(63363,2),(63364,9),(63365,2),(63366,2),(63367,4),(63368,1),(63369,8),(63370,8),(63371,7),(63372,9),(63373,1),(63374,3),(63375,7),(63376,9),(63377,9),(63378,6),(63379,3),(63380,5),(63381,1),(63382,9),(63383,3),(63384,7),(63385,5),(63386,1),(63387,5),(63388,9),(63389,3),(63390,6),(63391,7),(63392,9),(63393,7),(63394,7),(63395,5),(63396,2),(63397,9),(63398,9),(63399,5),(63400,4),(63401,2),(63402,2),(63403,3),(63404,5),(63405,5),(63406,3),(63407,3),(63408,3),(63409,6),(63410,3),(63411,2),(63412,8),(63413,7),(63414,7),(63415,5),(63416,9),(63417,6),(63418,7),(63419,8),(63420,6),(63421,6),(63422,5),(63423,4),(63424,1),(63425,1),(63426,7),(63427,9),(63428,6),(63429,4),(63430,3),(63431,4),(63432,1),(63433,7),(63434,5),(63435,1),(63436,7),(63437,5),(63438,5),(63439,5),(63440,9),(63441,2),(63442,5),(63443,1),(63444,9),(63445,5),(63446,3),(63447,9),(63448,9),(63449,3),(63450,5),(63451,3),(63452,5),(63453,2),(63454,1),(63455,8),(63456,7),(63457,3),(63458,5),(63459,2),(63460,8),(63461,4),(63462,1),(63463,6),(63464,7),(63465,8),(63466,2),(63467,2),(63468,1),(63469,5),(63470,6),(63471,7),(63472,5),(63473,9),(63474,7),(63475,1),(63476,6),(63477,2),(63478,9),(63479,2),(63480,1),(63481,1),(63482,5),(63483,9),(63484,4),(63485,6),(63486,7),(63487,1),(63488,1),(63489,7),(63490,6),(63491,1),(63492,4),(63493,2),(63494,3),(63495,1),(63496,7),(63497,8),(63498,8),(63499,4),(63500,4),(63501,8),(63502,6),(63503,3),(63504,6),(63505,3),(63506,8),(63507,9),(63508,2),(63509,3),(63510,2),(63511,4),(63512,8),(63513,3),(63514,5),(63515,8),(63516,6),(63517,9),(63518,3),(63519,7),(63520,8),(63521,1),(63522,8),(63523,9),(63524,1),(63525,1),(63526,1),(63527,2),(63528,7),(63529,3),(63530,2),(63531,8),(63532,8),(63533,9),(63534,4),(63535,2),(63536,1),(63537,2),(63538,9),(63539,6),(63540,4),(63541,4),(63542,4),(63543,7),(63544,1),(63545,3),(63546,3),(63547,6),(63548,5),(63549,3),(63550,2),(63551,5),(63552,7),(63553,9),(63554,7),(63555,5),(63556,2),(63557,3),(63558,3),(63559,9),(63560,8),(63561,6),(63562,4),(63563,3),(63564,2),(63565,5),(63566,5),(63567,2),(63568,7),(63569,2),(63570,8),(63571,3),(63572,3),(63573,3),(63574,4),(63575,5),(63576,4),(63577,3),(63578,9),(63579,7),(63580,4),(63581,3),(63582,6),(63583,9),(63584,3),(63585,6),(63586,1),(63587,3),(63588,2),(63589,5),(63590,6),(63591,2),(63592,7),(63593,4),(63594,7),(63595,8),(63596,8),(63597,7),(63598,7),(63599,2),(63600,9),(63601,4),(63602,3),(63603,7),(63604,7),(63605,9),(63606,5),(63607,9),(63608,4),(63609,1),(63610,3),(63611,8),(63612,8),(63613,8),(63614,4),(63615,3),(63616,5),(63617,5),(63618,2),(63619,8),(63620,6),(63621,2),(63622,6),(63623,4),(63624,1),(63625,3),(63626,1),(63627,8),(63628,1),(63629,5),(63630,2),(63631,5),(63632,4),(63633,5),(63634,1),(63635,7),(63636,6),(63637,1),(63638,1),(63639,2),(63640,6),(63641,4),(63642,8),(63643,4),(63644,9),(63645,2),(63646,3),(63647,8),(63648,6),(63649,9),(63650,1),(63651,8),(63652,1),(63653,9),(63654,3),(63655,7),(63656,4),(63657,4),(63658,9),(63659,9),(63660,7),(63661,1),(63662,1),(63663,1),(63664,9),(63665,9),(63666,7),(63667,2),(63668,9),(63669,3),(63670,8),(63671,8),(63672,8),(63673,1),(63674,1),(63675,2),(63676,9),(63677,8),(63678,4),(63679,9),(63680,6),(63681,1),(63682,7),(63683,8),(63684,4),(63685,7),(63686,4),(63687,3),(63688,2),(63689,3),(63690,1),(63691,2),(63692,3),(63693,2),(63694,5),(63695,5),(63696,9),(63697,2),(63698,2),(63699,5),(63700,8),(63701,8),(63702,1),(63703,5),(63704,7),(63705,4),(63706,5),(63707,9),(63708,7),(63709,3),(63710,6),(63711,2),(63712,9),(63713,6),(63714,1),(63715,5),(63716,5),(63717,5),(63718,4),(63719,4),(63720,6),(63721,5),(63722,8),(63723,4),(63724,1),(63725,6),(63726,5),(63727,4),(63728,3),(63729,7),(63730,5),(63731,4),(63732,7),(63733,9),(63734,6),(63735,1),(63736,9),(63737,2),(63738,4),(63739,6),(63740,5),(63741,7),(63742,3),(63743,7),(63744,6),(63745,5),(63746,1),(63747,5),(63748,2),(63749,5),(63750,1),(63751,4),(63752,9),(63753,1),(63754,3),(63755,7),(63756,2),(63757,9),(63758,9),(63759,4),(63760,1),(63761,5),(63762,2),(63763,5),(63764,7),(63765,8),(63766,9),(63767,7),(63768,6),(63769,9),(63770,5),(63771,4),(63772,3),(63773,2),(63774,9),(63775,6),(63776,8),(63777,1),(63778,7),(63779,6),(63780,2),(63781,3),(63782,6),(63783,6),(63784,6),(63785,3),(63786,3),(63787,5),(63788,5),(63789,9),(63790,8),(63791,7),(63792,2),(63793,7),(63794,8),(63795,9),(63796,1),(63797,1),(63798,6),(63799,6),(63800,6),(63801,5),(63802,4),(63803,6),(63804,3),(63805,5),(63806,6),(63807,7),(63808,5),(63809,5),(63810,7),(63811,6),(63812,7),(63813,1),(63814,2),(63815,6),(63816,6),(63817,6),(63818,6),(63819,6),(63820,4),(63821,2),(63822,7),(63823,5),(63824,1),(63825,3),(63826,1),(63827,5),(63828,9),(63829,9),(63830,7),(63831,1),(63832,7),(63833,6),(63834,4),(63835,7),(63836,3),(63837,2),(63838,9),(63839,6),(63840,8),(63841,8),(63842,8),(63843,9),(63844,8),(63845,9),(63846,1),(63847,7),(63848,9),(63849,1),(63850,8),(63851,2),(63852,1),(63853,4),(63854,4),(63855,1),(63856,6),(63857,4),(63858,1),(63859,9),(63860,2),(63861,8),(63862,5),(63863,9),(63864,8),(63865,6),(63866,7),(63867,4),(63868,6),(63869,2),(63870,8),(63871,2),(63872,8),(63873,3),(63874,3),(63875,8),(63876,1),(63877,7),(63878,9),(63879,5),(63880,6),(63881,5),(63882,4),(63883,4),(63884,3),(63885,3),(63886,2),(63887,9),(63888,3),(63889,1),(63890,4),(63891,3),(63892,9),(63893,9),(63894,4),(63895,2),(63896,5),(63897,6),(63898,7),(63899,7),(63900,5),(63901,4),(63902,6),(63903,7),(63904,7),(63905,2),(63906,9),(63907,3),(63908,1),(63909,8),(63910,5),(63911,8),(63912,8),(63913,6),(63914,6),(63915,4),(63916,5),(63917,3),(63918,2),(63919,8),(63920,5),(63921,3),(63922,2),(63923,2),(63924,8),(63925,3),(63926,1),(63927,4),(63928,6),(63929,7),(63930,9),(63931,3),(63932,5),(63933,7),(63934,8),(63935,3),(63936,1),(63937,9),(63938,8),(63939,4),(63940,4),(63941,3),(63942,8),(63943,5),(63944,7),(63945,9),(63946,7),(63947,9),(63948,2),(63949,6),(63950,6),(63951,2),(63952,8),(63953,9),(63954,7),(63955,6),(63956,3),(63957,1),(63958,6),(63959,2),(63960,8),(63961,3),(63962,5),(63963,3),(63964,6),(63965,3),(63966,6),(63967,9),(63968,1),(63969,1),(63970,7),(63971,3),(63972,4),(63973,7),(63974,9),(63975,6),(63976,9),(63977,8),(63978,4),(63979,9),(63980,6),(63981,6),(63982,3),(63983,5),(63984,7),(63985,7),(63986,3),(63987,3),(63988,3),(63989,9),(63990,9),(63991,1),(63992,5),(63993,1),(63994,3),(63995,2),(63996,7),(63997,2),(63998,9),(63999,6),(64000,3),(64001,3),(64002,7),(64003,1),(64004,5),(64005,5),(64006,3),(64007,9),(64008,5),(64009,2),(64010,9),(64011,7),(64012,1),(64013,4),(64014,2),(64015,8),(64016,3),(64017,2),(64018,9),(64019,6),(64020,7),(64021,7),(64022,7),(64023,9),(64024,6),(64025,3),(64026,8),(64027,8),(64028,4),(64029,8),(64030,6),(64031,7),(64032,6),(64033,6),(64034,1),(64035,2),(64036,7),(64037,6),(64038,1),(64039,9),(64040,7),(64041,1),(64042,7),(64043,9),(64044,7),(64045,4),(64046,7),(64047,8),(64048,6),(64049,5),(64050,5),(64051,5),(64052,8),(64053,8),(64054,1),(64055,6),(64056,4),(64057,2),(64058,2),(64059,2),(64060,6),(64061,6),(64062,7),(64063,8),(64064,7),(64065,7),(64066,4),(64067,3),(64068,6),(64069,8),(64070,2),(64071,6),(64072,5),(64073,8),(64074,1),(64075,7),(64076,5),(64077,7),(64078,4),(64079,9),(64080,3),(64081,9),(64082,7),(64083,2),(64084,5),(64085,2),(64086,6),(64087,7),(64088,6),(64089,4),(64090,3),(64091,4),(64092,1),(64093,4),(64094,6),(64095,4),(64096,3),(64097,3),(64098,1),(64099,6),(64100,1),(64101,4),(64102,6),(64103,7),(64104,1),(64105,1),(64106,4),(64107,6),(64108,5),(64109,6),(64110,2),(64111,1),(64112,5),(64113,7),(64114,5),(64115,6),(64116,8),(64117,8),(64118,5),(64119,7),(64120,7),(64121,6),(64122,6),(64123,9),(64124,6),(64125,5),(64126,6),(64127,4),(64128,7),(64129,8),(64130,6),(64131,2),(64132,6),(64133,6),(64134,5),(64135,7),(64136,1),(64137,3),(64138,4),(64139,8),(64140,2),(64141,5),(64142,1),(64143,2),(64144,2),(64145,3),(64146,9),(64147,7),(64148,1),(64149,5),(64150,6),(64151,8),(64152,6),(64153,9),(64154,1),(64155,7),(64156,7),(64157,5),(64158,3),(64159,1),(64160,2),(64161,8),(64162,6),(64163,3),(64164,4),(64165,3),(64166,9),(64167,6),(64168,1),(64169,1),(64170,7),(64171,6),(64172,2),(64173,5),(64174,3),(64175,6),(64176,7),(64177,2),(64178,7),(64179,2),(64180,9),(64181,9),(64182,9),(64183,3),(64184,2),(64185,8),(64186,1),(64187,6),(64188,6),(64189,7),(64190,9),(64191,9),(64192,7),(64193,4),(64194,7),(64195,7),(64196,3),(64197,1),(64198,6),(64199,3),(64200,8),(64201,6),(64202,5),(64203,9),(64204,2),(64205,9),(64206,9),(64207,8),(64208,6),(64209,8),(64210,9),(64211,6),(64212,7),(64213,2),(64214,1),(64215,2),(64216,8),(64217,9),(64218,4),(64219,8),(64220,2),(64221,8),(64222,4),(64223,4),(64224,5),(64225,7),(64226,2),(64227,5),(64228,8),(64229,8),(64230,3),(64231,1),(64232,1),(64233,1),(64234,5),(64235,1),(64236,8),(64237,8),(64238,8),(64239,3),(64240,2),(64241,3),(64242,2),(64243,3),(64244,9),(64245,3),(64246,4),(64247,3),(64248,5),(64249,2),(64250,9),(64251,1),(64252,9),(64253,6),(64254,6),(64255,2),(64256,8),(64257,8),(64258,5),(64259,5),(64260,5),(64261,6),(64262,7),(64263,7),(64264,3),(64265,9),(64266,4),(64267,9),(64268,3),(64269,3),(64270,4),(64271,3),(64272,6),(64273,9),(64274,6),(64275,2),(64276,5),(64277,5),(64278,8),(64279,9),(64280,1),(64281,2),(64282,8),(64283,3),(64284,8),(64285,7),(64286,2),(64287,1),(64288,8),(64289,9),(64290,9),(64291,8),(64292,6),(64293,4),(64294,6),(64295,9),(64296,9),(64297,7),(64298,9),(64299,4),(64300,6),(64301,9),(64302,3),(64303,8),(64304,3),(64305,7),(64306,9),(64307,2),(64308,3),(64309,6),(64310,4),(64311,8),(64312,1),(64313,7),(64314,3),(64315,7),(64316,1),(64317,6),(64318,5),(64319,9),(64320,4),(64321,5),(64322,2),(64323,7),(64324,1),(64325,6),(64326,7),(64327,8),(64328,6),(64329,5),(64330,5),(64331,5),(64332,8),(64333,8),(64334,7),(64335,5),(64336,3),(64337,9),(64338,6),(64339,6),(64340,3),(64341,1),(64342,5),(64343,8),(64344,2),(64345,4),(64346,4),(64347,4),(64348,3),(64349,1),(64350,4),(64351,3),(64352,1),(64353,2),(64354,1),(64355,4),(64356,2),(64357,3),(64358,7),(64359,8),(64360,1),(64361,8),(64362,3),(64363,8),(64364,8),(64365,3),(64366,8),(64367,2),(64368,6),(64369,6),(64370,7),(64371,7),(64372,6),(64373,7),(64374,1),(64375,9),(64376,9),(64377,4),(64378,6),(64379,1),(64380,9),(64381,5),(64382,4),(64383,7),(64384,3),(64385,2),(64386,3),(64387,5),(64388,9),(64389,2),(64390,3),(64391,3),(64392,1),(64393,7),(64394,6),(64395,6),(64396,8),(64397,7),(64398,5),(64399,1),(64400,2),(64401,8),(64402,2),(64403,6),(64404,5),(64405,5),(64406,7),(64407,5),(64408,8),(64409,3),(64410,9),(64411,6),(64412,5),(64413,4),(64414,2),(64415,3),(64416,4),(64417,3),(64418,3),(64419,8),(64420,4),(64421,9),(64422,1),(64423,6),(64424,6),(64425,6),(64426,1),(64427,6),(64428,9),(64429,4),(64430,8),(64431,3),(64432,5),(64433,3),(64434,6),(64435,7),(64436,8),(64437,7),(64438,5),(64439,4),(64440,1),(64441,7),(64442,6),(64443,2),(64444,6),(64445,7),(64446,3),(64447,6),(64448,9),(64449,8),(64450,6),(64451,7),(64452,6),(64453,9),(64454,1),(64455,5),(64456,7),(64457,1),(64458,1),(64459,8),(64460,6),(64461,2),(64462,4),(64463,5),(64464,5),(64465,3),(64466,5),(64467,9),(64468,8),(64469,3),(64470,1),(64471,2),(64472,1),(64473,7),(64474,9),(64475,3),(64476,5),(64477,7),(64478,5),(64479,6),(64480,8),(64481,3),(64482,3),(64483,8),(64484,1),(64485,5),(64486,5),(64487,9),(64488,9),(64489,7),(64490,8),(64491,1),(64492,6),(64493,6),(64494,3),(64495,5),(64496,6),(64497,4),(64498,4),(64499,8),(64500,4),(64501,6),(64502,1),(64503,4),(64504,4),(64505,6),(64506,2),(64507,7),(64508,5),(64509,7),(64510,8),(64511,8),(64512,4),(64513,4),(64514,4),(64515,2),(64516,9),(64517,3),(64518,1),(64519,9),(64520,3),(64521,6),(64522,6),(64523,1),(64524,7),(64525,2),(64526,8),(64527,4),(64528,6),(64529,7),(64530,7),(64531,2),(64532,8),(64533,1),(64534,7),(64535,7),(64536,2),(64537,4),(64538,4),(64539,1),(64540,4),(64541,7),(64542,2),(64543,8),(64544,9),(64545,1),(64546,8),(64547,6),(64548,7),(64549,2),(64550,7),(64551,1),(64552,2),(64553,1),(64554,5),(64555,2),(64556,1),(64557,8),(64558,6),(64559,5),(64560,7),(64561,3),(64562,8),(64563,1),(64564,1),(64565,3),(64566,4),(64567,7),(64568,2),(64569,6),(64570,6),(64571,3),(64572,7),(64573,5),(64574,1),(64575,1),(64576,9),(64577,4),(64578,1),(64579,1),(64580,5),(64581,9),(64582,6),(64583,6),(64584,5),(64585,2),(64586,7),(64587,3),(64588,6),(64589,8),(64590,5),(64591,7),(64592,6),(64593,2),(64594,8),(64595,7),(64596,9),(64597,3),(64598,8),(64599,2),(64600,1),(64601,3),(64602,3),(64603,2),(64604,9),(64605,3),(64606,6),(64607,2),(64608,5),(64609,2),(64610,6),(64611,7),(64612,1),(64613,6),(64614,4),(64615,2),(64616,8),(64617,3),(64618,8),(64619,2),(64620,1),(64621,6),(64622,5),(64623,7),(64624,1),(64625,4),(64626,5),(64627,1),(64628,8),(64629,2),(64630,2),(64631,4),(64632,4),(64633,2),(64634,5),(64635,4),(64636,1),(64637,3),(64638,9),(64639,2),(64640,8),(64641,1),(64642,6),(64643,9),(64644,4),(64645,3),(64646,6),(64647,6),(64648,9),(64649,1),(64650,4),(64651,3),(64652,3),(64653,2),(64654,9),(64655,5),(64656,7),(64657,2),(64658,8),(64659,4),(64660,9),(64661,3),(64662,5),(64663,1),(64664,9),(64665,4),(64666,9),(64667,7),(64668,5),(64669,3),(64670,7),(64671,2),(64672,9),(64673,9),(64674,1),(64675,7),(64676,2),(64677,8),(64678,5),(64679,1),(64680,1),(64681,7),(64682,4),(64683,6),(64684,4),(64685,3),(64686,5),(64687,4),(64688,2),(64689,8),(64690,6),(64691,3),(64692,7),(64693,4),(64694,2),(64695,8),(64696,8),(64697,3),(64698,2),(64699,3),(64700,3),(64701,4),(64702,8),(64703,8),(64704,9),(64705,9),(64706,7),(64707,9),(64708,2),(64709,4),(64710,5),(64711,8),(64712,2),(64713,5),(64714,7),(64715,8),(64716,8),(64717,7),(64718,4),(64719,6),(64720,3),(64721,2),(64722,6),(64723,9),(64724,1),(64725,7),(64726,8),(64727,2),(64728,8),(64729,3),(64730,5),(64731,7),(64732,8),(64733,4),(64734,1),(64735,2),(64736,8),(64737,7),(64738,2),(64739,2),(64740,2),(64741,1),(64742,5),(64743,9),(64744,9),(64745,1),(64746,6),(64747,4),(64748,7),(64749,2),(64750,1),(64751,8),(64752,4),(64753,6),(64754,7),(64755,5),(64756,2),(64757,5),(64758,2),(64759,7),(64760,5),(64761,2),(64762,4),(64763,4),(64764,1),(64765,5),(64766,6),(64767,2),(64768,2),(64769,9),(64770,1),(64771,1),(64772,6),(64773,6),(64774,6),(64775,1),(64776,7),(64777,1),(64778,2),(64779,9),(64780,1),(64781,6),(64782,8),(64783,1),(64784,7),(64785,7),(64786,8),(64787,8),(64788,3),(64789,9),(64790,6),(64791,6),(64792,2),(64793,6),(64794,1),(64795,1),(64796,2),(64797,8),(64798,4),(64799,6),(64800,2),(64801,4),(64802,2),(64803,8),(64804,3),(64805,8),(64806,9),(64807,5),(64808,1),(64809,1),(64810,1),(64811,2),(64812,2),(64813,5),(64814,3),(64815,1),(64816,4),(64817,5),(64818,7),(64819,3),(64820,4),(64821,8),(64822,1),(64823,6),(64824,4),(64825,6),(64826,1),(64827,5),(64828,5),(64829,9),(64830,6),(64831,5),(64832,6),(64833,4),(64834,7),(64835,1),(64836,1),(64837,8),(64838,9),(64839,4),(64840,3),(64841,4),(64842,8),(64843,2),(64844,5),(64845,8),(64846,7),(64847,6),(64848,1),(64849,1),(64850,9),(64851,1),(64852,4),(64853,3),(64854,1),(64855,3),(64856,5),(64857,8),(64858,1),(64859,9),(64860,4),(64861,7),(64862,7),(64863,3),(64864,9),(64865,5),(64866,7),(64867,8),(64868,3),(64869,2),(64870,5),(64871,8),(64872,3),(64873,9),(64874,6),(64875,6),(64876,6),(64877,6),(64878,2),(64879,8),(64880,4),(64881,4),(64882,5),(64883,7),(64884,3),(64885,8),(64886,5),(64887,7),(64888,7),(64889,3),(64890,2),(64891,8),(64892,7),(64893,2),(64894,9),(64895,4),(64896,2),(64897,8),(64898,1),(64899,1),(64900,9),(64901,1),(64902,9),(64903,1),(64904,3),(64905,4),(64906,8),(64907,1),(64908,3),(64909,9),(64910,4),(64911,9),(64912,4),(64913,9),(64914,8),(64915,5),(64916,3),(64917,5),(64918,1),(64919,7),(64920,4),(64921,7),(64922,8),(64923,1),(64924,7),(64925,4),(64926,2),(64927,3),(64928,1),(64929,3),(64930,7),(64931,3),(64932,4),(64933,4),(64934,6),(64935,6),(64936,4),(64937,3),(64938,3),(64939,4),(64940,6),(64941,3),(64942,7),(64943,3),(64944,7),(64945,1),(64946,4),(64947,6),(64948,3),(64949,6),(64950,4),(64951,4),(64952,8),(64953,4),(64954,8),(64955,7),(64956,3),(64957,6),(64958,5),(64959,5),(64960,8),(64961,9),(64962,5),(64963,4),(64964,4),(64965,8),(64966,4),(64967,6),(64968,8),(64969,9),(64970,3),(64971,2),(64972,4),(64973,6),(64974,1),(64975,3),(64976,2),(64977,4),(64978,6),(64979,8),(64980,2),(64981,1),(64982,5),(64983,4),(64984,4),(64985,8),(64986,2),(64987,8),(64988,4),(64989,1),(64990,1),(64991,5),(64992,2),(64993,4),(64994,5),(64995,6),(64996,1),(64997,7),(64998,9),(64999,5),(65000,4),(65001,7),(65002,3),(65003,6),(65004,9),(65005,3),(65006,5),(65007,5),(65008,1),(65009,2),(65010,1),(65011,3),(65012,1),(65013,2),(65014,1),(65015,1),(65016,1),(65017,2),(65018,1),(65019,6),(65020,3),(65021,8),(65022,4),(65023,6),(65024,9),(65025,6),(65026,6),(65027,7),(65028,2),(65029,5),(65030,2),(65031,4),(65032,5),(65033,5),(65034,9),(65035,4),(65036,3),(65037,7),(65038,1),(65039,9),(65040,2),(65041,7),(65042,7),(65043,1),(65044,3),(65045,1),(65046,9),(65047,5),(65048,7),(65049,2),(65050,4),(65051,4),(65052,4),(65053,7),(65054,6),(65055,2),(65056,3),(65057,1),(65058,3),(65059,5),(65060,8),(65061,9),(65062,7),(65063,8),(65064,6),(65065,8),(65066,6),(65067,2),(65068,8),(65069,9),(65070,2),(65071,6),(65072,4),(65073,1),(65074,9),(65075,6),(65076,3),(65077,1),(65078,3),(65079,3),(65080,4),(65081,6),(65082,6),(65083,6),(65084,7),(65085,4),(65086,3),(65087,1),(65088,5),(65089,3),(65090,6),(65091,2),(65092,7),(65093,5),(65094,6),(65095,2),(65096,7),(65097,4),(65098,7),(65099,8),(65100,5),(65101,1),(65102,7),(65103,5),(65104,8),(65105,3),(65106,5),(65107,8),(65108,8),(65109,9),(65110,8),(65111,3),(65112,3),(65113,3),(65114,7),(65115,1),(65116,9),(65117,5),(65118,2),(65119,2),(65120,4),(65121,7),(65122,5),(65123,9),(65124,4),(65125,4),(65126,3),(65127,7),(65128,2),(65129,6),(65130,7),(65131,9),(65132,4),(65133,6),(65134,3),(65135,1),(65136,5),(65137,6),(65138,4),(65139,8),(65140,2),(65141,8),(65142,6),(65143,1),(65144,8),(65145,2),(65146,8),(65147,4),(65148,1),(65149,5),(65150,5),(65151,6),(65152,1),(65153,7),(65154,9),(65155,6),(65156,8),(65157,4),(65158,8),(65159,8),(65160,1),(65161,8),(65162,6),(65163,5),(65164,8),(65165,1),(65166,1),(65167,3),(65168,8),(65169,8),(65170,5),(65171,7),(65172,3),(65173,3),(65174,8),(65175,4),(65176,8),(65177,4),(65178,7),(65179,4),(65180,7),(65181,8),(65182,9),(65183,1),(65184,6),(65185,6),(65186,4),(65187,9),(65188,3),(65189,1),(65190,4),(65191,4),(65192,1),(65193,9),(65194,1),(65195,7),(65196,4),(65197,6),(65198,6),(65199,3),(65200,6),(65201,8),(65202,3),(65203,3),(65204,9),(65205,3),(65206,1),(65207,6),(65208,3),(65209,6),(65210,2),(65211,6),(65212,6),(65213,2),(65214,2),(65215,6),(65216,9),(65217,7),(65218,8),(65219,2),(65220,9),(65221,1),(65222,6),(65223,4),(65224,5),(65225,9),(65226,7),(65227,8),(65228,1),(65229,3),(65230,5),(65231,3),(65232,9),(65233,2),(65234,1),(65235,5),(65236,3),(65237,7),(65238,3),(65239,7),(65240,8),(65241,9),(65242,2),(65243,7),(65244,2),(65245,3),(65246,8),(65247,7),(65248,6),(65249,6),(65250,9),(65251,7),(65252,9),(65253,8),(65254,7),(65255,5),(65256,7),(65257,6),(65258,8),(65259,2),(65260,1),(65261,2),(65262,7),(65263,2),(65264,2),(65265,8),(65266,9),(65267,9),(65268,8),(65269,8),(65270,8),(65271,4),(65272,3),(65273,9),(65274,7),(65275,1),(65276,5),(65277,3),(65278,3),(65279,2),(65280,7),(65281,3),(65282,8),(65283,5),(65284,7),(65285,3),(65286,6),(65287,3),(65288,3),(65289,6),(65290,8),(65291,3),(65292,5),(65293,9),(65294,2),(65295,5),(65296,8),(65297,5),(65298,9),(65299,2),(65300,5),(65301,6),(65302,3),(65303,4),(65304,6),(65305,4),(65306,6),(65307,6),(65308,5),(65309,2),(65310,8),(65311,5),(65312,3),(65313,3),(65314,2),(65315,4),(65316,2),(65317,9),(65318,9),(65319,3),(65320,5),(65321,3),(65322,5),(65323,4),(65324,6),(65325,6),(65326,4),(65327,2),(65328,6),(65329,3),(65330,7),(65331,1),(65332,6),(65333,5),(65334,8),(65335,9),(65336,3),(65337,6),(65338,8),(65339,1),(65340,1),(65341,9),(65342,7),(65343,6),(65344,9),(65345,9),(65346,4),(65347,2),(65348,2),(65349,5),(65350,6),(65351,8),(65352,4),(65353,8),(65354,2),(65355,5),(65356,9),(65357,8),(65358,4),(65359,8),(65360,8),(65361,4),(65362,9),(65363,2),(65364,8),(65365,5),(65366,9),(65367,2),(65368,8),(65369,6),(65370,7),(65371,5),(65372,1),(65373,9),(65374,3),(65375,8),(65376,9),(65377,8),(65378,2),(65379,1),(65380,9),(65381,5),(65382,4),(65383,1),(65384,3),(65385,1),(65386,5),(65387,3),(65388,3),(65389,8),(65390,3),(65391,8),(65392,2),(65393,3),(65394,4),(65395,4),(65396,4),(65397,7),(65398,8),(65399,8),(65400,1),(65401,3),(65402,5),(65403,2),(65404,8),(65405,2),(65406,4),(65407,1),(65408,4),(65409,3),(65410,7),(65411,1),(65412,5),(65413,5),(65414,3),(65415,8),(65416,4),(65417,4),(65418,5),(65419,7),(65420,2),(65421,2),(65422,3),(65423,3),(65424,1),(65425,2),(65426,1),(65427,5),(65428,6),(65429,8),(65430,7),(65431,4),(65432,8),(65433,6),(65434,2),(65435,4),(65436,2),(65437,4),(65438,6),(65439,7),(65440,4),(65441,5),(65442,6),(65443,8),(65444,1),(65445,5),(65446,6),(65447,3),(65448,3),(65449,8),(65450,7),(65451,6),(65452,8),(65453,7),(65454,2),(65455,4),(65456,8),(65457,2),(65458,8),(65459,7),(65460,3),(65461,1),(65462,2),(65463,9),(65464,2),(65465,2),(65466,9),(65467,6),(65468,9),(65469,7),(65470,4),(65471,8),(65472,6),(65473,3),(65474,8),(65475,4),(65476,5),(65477,5),(65478,1),(65479,3),(65480,2),(65481,7),(65482,9),(65483,1),(65484,8),(65485,5),(65486,8),(65487,8),(65488,4),(65489,2),(65490,7),(65491,4),(65492,4),(65493,4),(65494,8),(65495,7),(65496,3),(65497,4),(65498,3),(65499,9),(65500,9),(65501,3),(65502,4),(65503,3),(65504,1),(65505,2),(65506,8),(65507,3),(65508,8),(65509,7),(65510,2),(65511,1),(65512,3),(65513,1),(65514,2),(65515,8),(65516,3),(65517,9),(65518,1),(65519,5),(65520,4),(65521,5),(65522,3),(65523,8),(65524,1),(65525,5),(65526,7),(65527,9),(65528,1),(65529,2),(65530,6),(65531,3),(65532,1),(65533,4),(65534,6),(65535,5),(65536,4),(65537,5),(65538,7),(65539,3),(65540,5),(65541,1),(65542,8),(65543,8),(65544,9),(65545,7),(65546,8),(65547,6),(65548,8),(65549,9),(65550,6),(65551,9),(65552,5),(65553,8),(65554,9),(65555,1),(65556,6),(65557,1),(65558,8),(65559,2),(65560,9),(65561,6),(65562,4),(65563,2),(65564,8),(65565,5),(65566,8),(65567,1),(65568,9),(65569,2),(65570,4),(65571,9),(65572,4),(65573,1),(65574,2),(65575,5),(65576,9),(65577,6),(65578,3),(65579,5),(65580,9),(65581,7),(65582,8),(65583,3),(65584,7),(65585,9),(65586,5),(65587,8),(65588,7),(65589,9),(65590,5),(65591,6),(65592,7),(65593,5),(65594,2),(65595,9),(65596,4),(65597,9),(65598,1),(65599,6),(65600,3),(65601,6),(65602,7),(65603,8),(65604,7),(65605,2),(65606,1),(65607,6),(65608,1),(65609,2),(65610,9),(65611,6),(65612,1),(65613,6),(65614,9),(65615,4),(65616,8),(65617,7),(65618,4),(65619,2),(65620,9),(65621,9),(65622,1),(65623,7),(65624,4),(65625,3),(65626,6),(65627,7),(65628,2),(65629,1),(65630,4),(65631,1),(65632,6),(65633,6),(65634,7),(65635,3),(65636,9),(65637,6),(65638,6),(65639,5),(65640,1),(65641,9),(65642,6),(65643,9),(65644,6),(65645,8),(65646,5),(65647,8),(65648,8),(65649,6),(65650,5),(65651,9),(65652,1),(65653,6),(65654,3),(65655,8),(65656,3),(65657,5),(65658,2),(65659,1),(65660,2),(65661,1),(65662,5),(65663,9),(65664,6),(65665,3),(65666,8),(65667,2),(65668,8),(65669,6),(65670,2),(65671,2),(65672,7),(65673,6),(65674,3),(65675,8),(65676,7),(65677,7),(65678,6),(65679,1),(65680,7),(65681,6),(65682,1),(65683,9),(65684,4),(65685,5),(65686,7),(65687,4),(65688,6),(65689,1),(65690,7),(65691,4),(65692,5),(65693,3),(65694,1),(65695,7),(65696,3),(65697,7),(65698,3),(65699,3),(65700,7),(65701,7),(65702,2),(65703,2),(65704,4),(65705,3),(65706,1),(65707,2),(65708,7),(65709,2),(65710,7),(65711,7),(65712,8),(65713,9),(65714,8),(65715,2),(65716,2),(65717,1),(65718,3),(65719,7),(65720,7),(65721,3),(65722,4),(65723,2),(65724,6),(65725,5),(65726,6),(65727,6),(65728,8),(65729,1),(65730,9),(65731,9),(65732,4),(65733,5),(65734,8),(65735,5),(65736,5),(65737,5),(65738,8),(65739,6),(65740,5),(65741,4),(65742,2),(65743,5),(65744,6),(65745,2),(65746,7),(65747,1),(65748,4),(65749,2),(65750,1),(65751,8),(65752,8),(65753,8),(65754,5),(65755,3),(65756,9),(65757,9),(65758,6),(65759,2),(65760,6),(65761,9),(65762,8),(65763,5),(65764,4),(65765,9),(65766,4),(65767,4),(65768,4),(65769,5),(65770,6),(65771,9),(65772,1),(65773,4),(65774,2),(65775,2),(65776,6),(65777,8),(65778,3),(65779,8),(65780,1),(65781,3),(65782,5),(65783,2),(65784,6),(65785,6),(65786,2),(65787,1),(65788,5),(65789,5),(65790,6),(65791,4),(65792,8),(65793,4),(65794,4),(65795,5),(65796,9),(65797,1),(65798,5),(65799,4),(65800,6),(65801,3),(65802,9),(65803,6),(65804,1),(65805,4),(65806,6),(65807,6),(65808,9),(65809,9),(65810,1),(65811,6),(65812,7),(65813,4),(65814,9),(65815,2),(65816,9),(65817,7),(65818,2),(65819,8),(65820,4),(65821,8),(65822,6),(65823,5),(65824,9),(65825,2),(65826,7),(65827,2),(65828,8),(65829,7),(65830,8),(65831,2),(65832,6),(65833,3),(65834,5),(65835,1),(65836,9),(65837,5),(65838,1),(65839,1),(65840,5),(65841,4),(65842,9),(65843,4),(65844,5),(65845,8),(65846,5),(65847,1),(65848,1),(65849,1),(65850,4),(65851,3),(65852,8),(65853,9),(65854,7),(65855,2),(65856,7),(65857,4),(65858,5),(65859,7),(65860,7),(65861,1),(65862,8),(65863,3),(65864,2),(65865,3),(65866,7),(65867,2),(65868,9),(65869,4),(65870,9),(65871,1),(65872,3),(65873,6),(65874,2),(65875,4),(65876,4),(65877,1),(65878,8),(65879,1),(65880,3),(65881,9),(65882,5),(65883,4),(65884,1),(65885,1),(65886,9),(65887,5),(65888,3),(65889,9),(65890,8),(65891,2),(65892,3),(65893,9),(65894,3),(65895,1),(65896,5),(65897,3),(65898,7),(65899,3),(65900,7),(65901,3),(65902,3),(65903,3),(65904,4),(65905,9),(65906,5),(65907,6),(65908,5),(65909,6),(65910,5),(65911,7),(65912,1),(65913,4),(65914,3),(65915,9),(65916,4),(65917,6),(65918,6),(65919,8),(65920,2),(65921,5),(65922,9),(65923,6),(65924,4),(65925,2),(65926,4),(65927,5),(65928,3),(65929,1),(65930,4),(65931,9),(65932,2),(65933,3),(65934,6),(65935,8),(65936,4),(65937,7),(65938,5),(65939,9),(65940,9),(65941,6),(65942,1),(65943,1),(65944,4),(65945,3),(65946,4),(65947,9),(65948,5),(65949,8),(65950,5),(65951,4),(65952,5),(65953,6),(65954,2),(65955,3),(65956,2),(65957,1),(65958,7),(65959,9),(65960,4),(65961,3),(65962,8),(65963,3),(65964,2),(65965,5),(65966,4),(65967,1),(65968,1),(65969,2),(65970,1),(65971,7),(65972,9),(65973,3),(65974,8),(65975,5),(65976,6),(65977,5),(65978,4),(65979,3),(65980,5),(65981,6),(65982,2),(65983,1),(65984,3),(65985,1),(65986,2),(65987,1),(65988,8),(65989,6),(65990,3),(65991,8),(65992,9),(65993,3),(65994,5),(65995,2),(65996,5),(65997,5),(65998,5),(65999,1),(66000,2),(66001,1),(66002,3),(66003,1),(66004,1),(66005,1),(66006,1),(66007,3),(66008,8),(66009,8),(66010,1),(66011,4),(66012,7),(66013,4),(66014,4),(66015,6),(66016,3),(66017,5),(66018,3),(66019,2),(66020,4),(66021,3),(66022,2),(66023,9),(66024,8),(66025,4),(66026,4),(66027,9),(66028,8),(66029,1),(66030,3),(66031,5),(66032,8),(66033,6),(66034,8),(66035,9),(66036,9),(66037,6),(66038,9),(66039,2),(66040,7),(66041,4),(66042,9),(66043,6),(66044,3),(66045,3),(66046,5),(66047,3),(66048,6),(66049,6),(66050,2),(66051,7),(66052,7),(66053,9),(66054,7),(66055,4),(66056,2),(66057,4),(66058,3),(66059,2),(66060,2),(66061,8),(66062,3),(66063,1),(66064,8),(66065,1),(66066,7),(66067,4),(66068,7),(66069,4),(66070,3),(66071,3),(66072,1),(66073,6),(66074,2),(66075,4),(66076,8),(66077,2),(66078,1),(66079,6),(66080,6),(66081,7),(66082,4),(66083,9),(66084,8),(66085,7),(66086,8),(66087,6),(66088,5),(66089,8),(66090,2),(66091,6),(66092,7),(66093,2),(66094,6),(66095,6),(66096,8),(66097,4),(66098,4),(66099,6),(66100,9),(66101,3),(66102,1),(66103,6),(66104,5),(66105,4),(66106,9),(66107,2),(66108,1),(66109,1),(66110,1),(66111,4),(66112,5),(66113,6),(66114,6),(66115,3),(66116,2),(66117,4),(66118,5),(66119,2),(66120,9),(66121,7),(66122,2),(66123,5),(66124,2),(66125,3),(66126,3),(66127,2),(66128,5),(66129,2),(66130,6),(66131,5),(66132,2),(66133,2),(66134,4),(66135,6),(66136,8),(66137,7),(66138,7),(66139,1),(66140,1),(66141,5),(66142,3),(66143,6),(66144,9),(66145,9),(66146,5),(66147,2),(66148,5),(66149,7),(66150,2),(66151,9),(66152,1),(66153,5),(66154,9),(66155,9),(66156,4),(66157,2),(66158,9),(66159,2),(66160,1),(66161,3),(66162,7),(66163,1),(66164,7),(66165,6),(66166,3),(66167,9),(66168,4),(66169,7),(66170,9),(66171,4),(66172,1),(66173,5),(66174,7),(66175,2),(66176,4),(66177,3),(66178,6),(66179,9),(66180,3),(66181,5),(66182,8),(66183,5),(66184,8),(66185,6),(66186,3),(66187,3),(66188,4),(66189,5),(66190,2),(66191,3),(66192,6),(66193,8),(66194,2),(66195,9),(66196,6),(66197,4),(66198,5),(66199,2),(66200,8),(66201,9),(66202,2),(66203,8),(66204,4),(66205,1),(66206,7),(66207,4),(66208,6),(66209,7),(66210,7),(66211,6),(66212,1),(66213,9),(66214,9),(66215,3),(66216,9),(66217,9),(66218,9),(66219,2),(66220,9),(66221,9),(66222,2),(66223,1),(66224,3),(66225,1),(66226,5),(66227,3),(66228,1),(66229,2),(66230,6),(66231,3),(66232,8),(66233,8),(66234,2),(66235,3),(66236,8),(66237,9),(66238,6),(66239,8),(66240,4),(66241,7),(66242,1),(66243,5),(66244,1),(66245,1),(66246,8),(66247,1),(66248,5),(66249,8),(66250,2),(66251,5),(66252,7),(66253,1),(66254,5),(66255,9),(66256,8),(66257,5),(66258,8),(66259,9),(66260,8),(66261,6),(66262,2),(66263,4),(66264,4),(66265,8),(66266,8),(66267,7),(66268,6),(66269,8),(66270,5),(66271,5),(66272,1),(66273,6),(66274,6),(66275,8),(66276,3),(66277,6),(66278,7),(66279,8),(66280,6),(66281,3),(66282,5),(66283,7),(66284,9),(66285,1),(66286,6),(66287,9),(66288,3),(66289,8),(66290,8),(66291,2),(66292,8),(66293,8),(66294,7),(66295,5),(66296,2),(66297,1),(66298,4),(66299,4),(66300,6),(66301,6),(66302,1),(66303,2),(66304,9),(66305,8),(66306,7),(66307,1),(66308,7),(66309,8),(66310,3),(66311,9),(66312,9),(66313,7),(66314,1),(66315,6),(66316,3),(66317,1),(66318,6),(66319,9),(66320,6),(66321,6),(66322,1),(66323,1),(66324,2),(66325,5),(66326,4),(66327,5),(66328,3),(66329,9),(66330,1),(66331,7),(66332,8),(66333,5),(66334,4),(66335,2),(66336,7),(66337,3),(66338,8),(66339,9),(66340,4),(66341,6),(66342,8),(66343,6),(66344,3),(66345,9),(66346,8),(66347,3),(66348,4),(66349,9),(66350,3),(66351,1),(66352,9),(66353,1),(66354,6),(66355,4),(66356,7),(66357,7),(66358,6),(66359,8),(66360,1),(66361,1),(66362,5),(66363,2),(66364,4),(66365,6),(66366,8),(66367,7),(66368,7),(66369,8),(66370,8),(66371,6),(66372,8),(66373,1),(66374,6),(66375,5),(66376,9),(66377,7),(66378,5),(66379,5),(66380,6),(66381,4),(66382,6),(66383,1),(66384,9),(66385,8),(66386,5),(66387,1),(66388,7),(66389,2),(66390,8),(66391,1),(66392,6),(66393,8),(66394,1),(66395,9),(66396,7),(66397,7),(66398,4),(66399,6),(66400,1),(66401,9),(66402,4),(66403,3),(66404,4),(66405,1),(66406,9),(66407,1),(66408,6),(66409,8),(66410,1),(66411,5),(66412,3),(66413,5),(66414,4),(66415,8),(66416,4),(66417,5),(66418,2),(66419,2),(66420,7),(66421,8),(66422,5),(66423,9),(66424,8),(66425,9),(66426,2),(66427,9),(66428,5),(66429,9),(66430,2),(66431,1),(66432,4),(66433,7),(66434,7),(66435,8),(66436,7),(66437,9),(66438,9),(66439,2),(66440,9),(66441,3),(66442,2),(66443,2),(66444,1),(66445,2),(66446,6),(66447,4),(66448,4),(66449,1),(66450,1),(66451,3),(66452,3),(66453,1),(66454,4),(66455,8),(66456,7),(66457,3),(66458,5),(66459,8),(66460,9),(66461,7),(66462,5),(66463,8),(66464,1),(66465,8),(66466,2),(66467,9),(66468,6),(66469,1),(66470,9),(66471,4),(66472,1),(66473,1),(66474,2),(66475,5),(66476,6),(66477,9),(66478,2),(66479,9),(66480,3),(66481,8),(66482,3),(66483,3),(66484,6),(66485,4),(66486,4),(66487,2),(66488,8),(66489,6),(66490,1),(66491,9),(66492,6),(66493,3),(66494,9),(66495,5),(66496,2),(66497,6),(66498,9),(66499,1),(66500,7),(66501,3),(66502,9),(66503,1),(66504,5),(66505,7),(66506,3),(66507,3),(66508,9),(66509,2),(66510,3),(66511,2),(66512,6),(66513,5),(66514,8),(66515,5),(66516,3),(66517,3),(66518,5),(66519,9),(66520,4),(66521,4),(66522,9),(66523,5),(66524,9),(66525,3),(66526,8),(66527,7),(66528,1),(66529,8),(66530,3),(66531,7),(66532,8),(66533,3),(66534,7),(66535,2),(66536,4),(66537,4),(66538,7),(66539,8),(66540,1),(66541,7),(66542,5),(66543,3),(66544,9),(66545,2),(66546,5),(66547,7),(66548,1),(66549,8),(66550,5),(66551,1),(66552,6),(66553,3),(66554,9),(66555,6),(66556,7),(66557,2),(66558,5),(66559,4),(66560,2),(66561,2),(66562,4),(66563,6),(66564,8),(66565,8),(66566,2),(66567,8),(66568,5),(66569,4),(66570,8),(66571,4),(66572,1),(66573,9),(66574,2),(66575,8),(66576,3),(66577,3),(66578,5),(66579,3),(66580,7),(66581,2),(66582,7),(66583,4),(66584,5),(66585,6),(66586,2),(66587,1),(66588,8),(66589,1),(66590,6),(66591,5),(66592,3),(66593,6),(66594,6),(66595,1),(66596,9),(66597,7),(66598,4),(66599,7),(66600,9),(66601,7),(66602,1),(66603,4),(66604,2),(66605,9),(66606,6),(66607,8),(66608,9),(66609,7),(66610,8),(66611,9),(66612,6),(66613,3),(66614,6),(66615,3),(66616,9),(66617,8),(66618,6),(66619,5),(66620,8),(66621,6),(66622,1),(66623,2),(66624,3),(66625,8),(66626,8),(66627,7),(66628,9),(66629,6),(66630,9),(66631,8),(66632,4),(66633,6),(66634,6),(66635,1),(66636,8),(66637,9),(66638,2),(66639,9),(66640,7),(66641,9),(66642,3),(66643,8),(66644,9),(66645,7),(66646,7),(66647,6),(66648,7),(66649,6),(66650,8),(66651,7),(66652,4),(66653,6),(66654,8),(66655,9),(66656,6),(66657,3),(66658,9),(66659,4),(66660,7),(66661,2),(66662,5),(66663,9),(66664,5),(66665,8),(66666,8),(66667,1),(66668,1),(66669,4),(66670,5),(66671,5),(66672,3),(66673,5),(66674,7),(66675,4),(66676,2),(66677,9),(66678,6),(66679,3),(66680,6),(66681,4),(66682,2),(66683,4),(66684,5),(66685,6),(66686,8),(66687,5),(66688,2),(66689,2),(66690,8),(66691,2),(66692,8),(66693,1),(66694,3),(66695,5),(66696,1),(66697,5),(66698,2),(66699,5),(66700,4),(66701,8),(66702,6),(66703,3),(66704,6),(66705,9),(66706,1),(66707,6),(66708,8),(66709,8),(66710,8),(66711,7),(66712,7),(66713,4),(66714,9),(66715,6),(66716,5),(66717,9),(66718,6),(66719,5),(66720,3),(66721,3),(66722,7),(66723,6),(66724,7),(66725,3),(66726,2),(66727,1),(66728,1),(66729,2),(66730,8),(66731,7),(66732,7),(66733,5),(66734,7),(66735,7),(66736,9),(66737,3),(66738,4),(66739,3),(66740,8),(66741,8),(66742,2),(66743,3),(66744,6),(66745,7),(66746,6),(66747,1),(66748,2),(66749,8),(66750,4),(66751,6),(66752,2),(66753,9),(66754,5),(66755,2),(66756,8),(66757,5),(66758,9),(66759,9),(66760,1),(66761,6),(66762,2),(66763,6),(66764,5),(66765,5),(66766,2),(66767,6),(66768,6),(66769,3),(66770,5),(66771,9),(66772,5),(66773,6),(66774,2),(66775,4),(66776,2),(66777,3),(66778,4),(66779,4),(66780,1),(66781,2),(66782,8),(66783,3),(66784,1),(66785,4),(66786,7),(66787,7),(66788,6),(66789,8),(66790,5),(66791,2),(66792,6),(66793,2),(66794,4),(66795,9),(66796,3),(66797,7),(66798,1),(66799,2),(66800,5),(66801,7),(66802,2),(66803,8),(66804,2),(66805,1),(66806,4),(66807,8),(66808,3),(66809,9),(66810,6),(66811,6),(66812,6),(66813,1),(66814,1),(66815,6),(66816,3),(66817,7),(66818,4),(66819,3),(66820,8),(66821,4),(66822,8),(66823,1),(66824,2),(66825,4),(66826,8),(66827,7),(66828,3),(66829,1),(66830,9),(66831,7),(66832,6),(66833,4),(66834,2),(66835,1),(66836,1),(66837,4),(66838,7),(66839,9),(66840,4),(66841,3),(66842,7),(66843,7),(66844,7),(66845,2),(66846,7),(66847,2),(66848,1),(66849,4),(66850,4),(66851,2),(66852,6),(66853,7),(66854,3),(66855,9),(66856,8),(66857,2),(66858,3),(66859,8),(66860,7),(66861,2),(66862,1),(66863,7),(66864,5),(66865,9),(66866,3),(66867,1),(66868,5),(66869,7),(66870,9),(66871,1),(66872,2),(66873,9),(66874,1),(66875,4),(66876,3),(66877,8),(66878,5),(66879,7),(66880,3),(66881,2),(66882,8),(66883,1),(66884,6),(66885,4),(66886,6),(66887,5),(66888,7),(66889,3),(66890,1),(66891,2),(66892,2),(66893,1),(66894,7),(66895,1),(66896,7),(66897,3),(66898,4),(66899,3),(66900,3),(66901,2),(66902,4),(66903,3),(66904,9),(66905,8),(66906,4),(66907,4),(66908,3),(66909,7),(66910,1),(66911,5),(66912,1),(66913,3),(66914,3),(66915,3),(66916,2),(66917,6),(66918,5),(66919,8),(66920,3),(66921,6),(66922,1),(66923,2),(66924,4),(66925,5),(66926,5),(66927,5),(66928,6),(66929,8),(66930,5),(66931,3),(66932,8),(66933,2),(66934,7),(66935,5),(66936,6),(66937,9),(66938,9),(66939,1),(66940,4),(66941,6),(66942,3),(66943,8),(66944,2),(66945,7),(66946,1),(66947,8),(66948,8),(66949,6),(66950,6),(66951,8),(66952,1),(66953,8),(66954,1),(66955,2),(66956,1),(66957,6),(66958,6),(66959,4),(66960,5),(66961,5),(66962,1),(66963,2),(66964,8),(66965,3),(66966,5),(66967,7),(66968,9),(66969,4),(66970,3),(66971,7),(66972,7),(66973,2),(66974,3),(66975,8),(66976,7),(66977,6),(66978,8),(66979,7),(66980,4),(66981,7),(66982,8),(66983,9),(66984,3),(66985,3),(66986,7),(66987,5),(66988,9),(66989,2),(66990,4),(66991,9),(66992,1),(66993,7),(66994,6),(66995,2),(66996,3),(66997,9),(66998,8),(66999,3),(67000,9),(67001,1),(67002,7),(67003,3),(67004,5),(67005,3),(67006,4),(67007,7),(67008,7),(67009,3),(67010,3),(67011,9),(67012,1),(67013,8),(67014,3),(67015,1),(67016,9),(67017,9),(67018,2),(67019,6),(67020,9),(67021,4),(67022,6),(67023,2),(67024,6),(67025,9),(67026,7),(67027,9),(67028,9),(67029,4),(67030,7),(67031,4),(67032,2),(67033,1),(67034,6),(67035,9),(67036,6),(67037,1),(67038,4),(67039,9),(67040,6),(67041,9),(67042,9),(67043,5),(67044,1),(67045,9),(67046,3),(67047,9),(67048,8),(67049,5),(67050,1),(67051,5),(67052,9),(67053,4),(67054,7),(67055,8),(67056,9),(67057,7),(67058,7),(67059,8),(67060,5),(67061,9),(67062,8),(67063,1),(67064,4),(67065,2),(67066,5),(67067,1),(67068,3),(67069,5),(67070,7),(67071,7),(67072,9),(67073,4),(67074,4),(67075,9),(67076,5),(67077,5),(67078,5),(67079,8),(67080,3),(67081,9),(67082,3),(67083,9),(67084,6),(67085,4),(67086,2),(67087,5),(67088,9),(67089,3),(67090,9),(67091,2),(67092,4),(67093,7),(67094,1),(67095,3),(67096,2),(67097,5),(67098,6),(67099,7),(67100,6),(67101,4),(67102,6),(67103,3),(67104,4),(67105,6),(67106,5),(67107,2),(67108,2),(67109,6),(67110,9),(67111,2),(67112,6),(67113,3),(67114,4),(67115,3),(67116,2),(67117,4),(67118,2),(67119,1),(67120,3),(67121,8),(67122,5),(67123,7),(67124,4),(67125,2),(67126,9),(67127,9),(67128,4),(67129,3),(67130,8),(67131,2),(67132,5),(67133,5),(67134,6),(67135,8),(67136,3),(67137,7),(67138,2),(67139,3),(67140,6),(67141,8),(67142,7),(67143,4),(67144,8),(67145,3),(67146,5),(67147,5),(67148,6),(67149,6),(67150,3),(67151,9),(67152,3),(67153,9),(67154,8),(67155,9),(67156,4),(67157,5),(67158,1),(67159,8),(67160,1),(67161,8),(67162,7),(67163,4),(67164,7),(67165,3),(67166,9),(67167,7),(67168,9),(67169,3),(67170,8),(67171,6),(67172,8),(67173,3),(67174,1),(67175,3),(67176,1),(67177,5),(67178,1),(67179,3),(67180,8),(67181,8),(67182,2),(67183,1),(67184,9),(67185,1),(67186,5),(67187,6),(67188,3),(67189,8),(67190,3),(67191,8),(67192,8),(67193,8),(67194,4),(67195,2),(67196,6),(67197,3),(67198,7),(67199,3),(67200,6),(67201,9),(67202,6),(67203,1),(67204,1),(67205,1),(67206,7),(67207,9),(67208,2),(67209,4),(67210,6),(67211,7),(67212,7),(67213,2),(67214,9),(67215,8),(67216,3),(67217,3),(67218,8),(67219,9),(67220,4),(67221,9),(67222,3),(67223,3),(67224,2),(67225,6),(67226,3),(67227,8),(67228,2),(67229,9),(67230,7),(67231,6),(67232,2),(67233,3),(67234,3),(67235,8),(67236,1),(67237,3),(67238,7),(67239,1),(67240,3),(67241,2),(67242,4),(67243,5),(67244,6),(67245,3),(67246,1),(67247,4),(67248,1),(67249,6),(67250,5),(67251,5),(67252,6),(67253,3),(67254,6),(67255,1),(67256,9),(67257,4),(67258,5),(67259,3),(67260,1),(67261,4),(67262,8),(67263,4),(67264,7),(67265,6),(67266,9),(67267,2),(67268,2),(67269,6),(67270,8),(67271,4),(67272,8),(67273,7),(67274,8),(67275,4),(67276,8),(67277,4),(67278,9),(67279,2),(67280,4),(67281,9),(67282,8),(67283,8),(67284,3),(67285,8),(67286,5),(67287,1),(67288,1),(67289,7),(67290,6),(67291,2),(67292,1),(67293,2),(67294,4),(67295,1),(67296,6),(67297,8),(67298,4),(67299,6),(67300,8),(67301,6),(67302,8),(67303,9),(67304,2),(67305,2),(67306,9),(67307,1),(67308,1),(67309,3),(67310,5),(67311,9),(67312,8),(67313,8),(67314,2),(67315,6),(67316,3),(67317,4),(67318,5),(67319,7),(67320,5),(67321,5),(67322,5),(67323,3),(67324,1),(67325,8),(67326,9),(67327,7),(67328,6),(67329,5),(67330,7),(67331,7),(67332,8),(67333,2),(67334,8),(67335,3),(67336,2),(67337,1),(67338,9),(67339,1),(67340,1),(67341,4),(67342,6),(67343,3),(67344,7),(67345,1),(67346,5),(67347,6),(67348,7),(67349,9),(67350,5),(67351,9),(67352,6),(67353,3),(67354,6),(67355,7),(67356,6),(67357,9),(67358,2),(67359,4),(67360,7),(67361,6),(67362,1),(67363,7),(67364,4),(67365,7),(67366,7),(67367,3),(67368,2),(67369,9),(67370,8),(67371,8),(67372,6),(67373,7),(67374,6),(67375,2),(67376,1),(67377,5),(67378,3),(67379,6),(67380,6),(67381,6),(67382,6),(67383,5),(67384,9),(67385,1),(67386,8),(67387,4),(67388,4),(67389,9),(67390,3),(67391,7),(67392,3),(67393,1),(67394,6),(67395,3),(67396,7),(67397,6),(67398,9),(67399,5),(67400,7),(67401,7),(67402,9),(67403,4),(67404,7),(67405,9),(67406,8),(67407,2),(67408,4),(67409,2),(67410,5),(67411,2),(67412,5),(67413,7),(67414,1),(67415,6),(67416,2),(67417,4),(67418,9),(67419,5),(67420,9),(67421,5),(67422,6),(67423,9),(67424,7),(67425,6),(67426,9),(67427,7),(67428,3),(67429,2),(67430,4),(67431,1),(67432,1),(67433,8),(67434,1),(67435,6),(67436,2),(67437,2),(67438,3),(67439,3),(67440,2),(67441,5),(67442,9),(67443,4),(67444,6),(67445,3),(67446,9),(67447,7),(67448,3),(67449,1),(67450,1),(67451,4),(67452,2),(67453,7),(67454,9),(67455,3),(67456,1),(67457,5),(67458,4),(67459,1),(67460,8),(67461,3),(67462,7),(67463,4),(67464,4),(67465,7),(67466,4),(67467,8),(67468,1),(67469,4),(67470,2),(67471,9),(67472,6),(67473,9),(67474,9),(67475,8),(67476,1),(67477,2),(67478,5),(67479,2),(67480,2),(67481,9),(67482,4),(67483,5),(67484,7),(67485,8),(67486,6),(67487,6),(67488,1),(67489,7),(67490,1),(67491,6),(67492,7),(67493,3),(67494,8),(67495,7),(67496,7),(67497,6),(67498,8),(67499,6),(67500,5),(67501,3),(67502,3),(67503,8),(67504,2),(67505,3),(67506,8),(67507,8),(67508,4),(67509,3),(67510,5),(67511,1),(67512,4),(67513,6),(67514,7),(67515,4),(67516,4),(67517,8),(67518,4),(67519,1),(67520,7),(67521,9),(67522,4),(67523,4),(67524,7),(67525,8),(67526,7),(67527,8),(67528,6),(67529,7),(67530,4),(67531,5),(67532,5),(67533,3),(67534,2),(67535,6),(67536,4),(67537,5),(67538,6),(67539,9),(67540,1),(67541,2),(67542,5),(67543,5),(67544,1),(67545,9),(67546,7),(67547,7),(67548,9),(67549,7),(67550,8),(67551,3),(67552,1),(67553,9),(67554,5),(67555,4),(67556,9),(67557,3),(67558,8),(67559,4),(67560,9),(67561,2),(67562,7),(67563,4),(67564,5),(67565,9),(67566,3),(67567,6),(67568,2),(67569,7),(67570,1),(67571,7),(67572,3),(67573,7),(67574,3),(67575,5),(67576,2),(67577,7),(67578,9),(67579,1),(67580,3),(67581,3),(67582,5),(67583,3),(67584,8),(67585,1),(67586,5),(67587,2),(67588,6),(67589,2),(67590,4),(67591,2),(67592,1),(67593,8),(67594,2),(67595,7),(67596,7),(67597,6),(67598,4),(67599,5),(67600,1),(67601,6),(67602,8),(67603,8),(67604,2),(67605,7),(67606,2),(67607,1),(67608,6),(67609,2),(67610,7),(67611,5),(67612,6),(67613,2),(67614,5),(67615,4),(67616,3),(67617,8),(67618,2),(67619,9),(67620,9),(67621,1),(67622,3),(67623,1),(67624,6),(67625,3),(67626,1),(67627,9),(67628,2),(67629,4),(67630,3),(67631,1),(67632,5),(67633,5),(67634,6),(67635,7),(67636,3),(67637,1),(67638,1),(67639,6),(67640,4),(67641,1),(67642,6),(67643,5),(67644,3),(67645,6),(67646,9),(67647,8),(67648,8),(67649,6),(67650,2),(67651,3),(67652,3),(67653,2),(67654,3),(67655,2),(67656,8),(67657,1),(67658,5),(67659,8),(67660,3),(67661,1),(67662,6),(67663,2),(67664,2),(67665,2),(67666,6),(67667,5),(67668,4),(67669,4),(67670,3),(67671,3),(67672,1),(67673,9),(67674,9),(67675,7),(67676,9),(67677,5),(67678,8),(67679,8),(67680,3),(67681,5),(67682,3),(67683,3),(67684,4),(67685,4),(67686,7),(67687,3),(67688,8),(67689,8),(67690,4),(67691,9),(67692,1),(67693,9),(67694,7),(67695,6),(67696,6),(67697,9),(67698,7),(67699,2),(67700,1),(67701,3),(67702,3),(67703,3),(67704,8),(67705,8),(67706,4),(67707,2),(67708,2),(67709,6),(67710,5),(67711,1),(67712,7),(67713,2),(67714,8),(67715,8),(67716,9),(67717,2),(67718,8),(67719,8),(67720,4),(67721,3),(67722,7),(67723,9),(67724,1),(67725,8),(67726,7),(67727,4),(67728,6),(67729,6),(67730,1),(67731,8),(67732,4),(67733,8),(67734,3),(67735,2),(67736,2),(67737,7),(67738,2),(67739,3),(67740,6),(67741,8),(67742,8),(67743,5),(67744,4),(67745,2),(67746,7),(67747,3),(67748,5),(67749,8),(67750,4),(67751,7),(67752,4),(67753,8),(67754,1),(67755,9),(67756,8),(67757,5),(67758,3),(67759,7),(67760,6),(67761,9),(67762,8),(67763,4),(67764,2),(67765,4),(67766,6),(67767,9),(67768,8),(67769,3),(67770,7),(67771,9),(67772,5),(67773,5),(67774,7),(67775,3),(67776,2),(67777,8),(67778,4),(67779,8),(67780,1),(67781,2),(67782,6),(67783,1),(67784,6),(67785,6),(67786,6),(67787,9),(67788,3),(67789,8),(67790,8),(67791,3),(67792,3),(67793,5),(67794,8),(67795,2),(67796,5),(67797,6),(67798,4),(67799,9),(67800,9),(67801,8),(67802,3),(67803,7),(67804,2),(67805,3),(67806,9),(67807,4),(67808,7),(67809,3),(67810,3),(67811,8),(67812,3),(67813,1),(67814,8),(67815,9),(67816,3),(67817,9),(67818,5),(67819,6),(67820,2),(67821,8),(67822,9),(67823,3),(67824,7),(67825,4),(67826,2),(67827,4),(67828,5),(67829,7),(67830,8),(67831,7),(67832,8),(67833,6),(67834,8),(67835,7),(67836,2),(67837,5),(67838,1),(67839,7),(67840,5),(67841,5),(67842,2),(67843,4),(67844,8),(67845,6),(67846,1),(67847,5),(67848,2),(67849,1),(67850,8),(67851,4),(67852,9),(67853,7),(67854,5),(67855,4),(67856,7),(67857,7),(67858,8),(67859,9),(67860,9),(67861,7),(67862,1),(67863,4),(67864,6),(67865,2),(67866,5),(67867,8),(67868,9),(67869,9),(67870,7),(67871,1),(67872,2),(67873,7),(67874,1),(67875,5),(67876,9),(67877,6),(67878,7),(67879,8),(67880,6),(67881,3),(67882,4),(67883,6),(67884,9),(67885,2),(67886,8),(67887,4),(67888,7),(67889,3),(67890,9),(67891,2),(67892,6),(67893,7),(67894,6),(67895,2),(67896,9),(67897,8),(67898,5),(67899,4),(67900,9),(67901,4),(67902,7),(67903,5),(67904,5),(67905,1),(67906,8),(67907,6),(67908,3),(67909,1),(67910,2),(67911,4),(67912,3),(67913,5),(67914,1),(67915,8),(67916,5),(67917,3),(67918,2),(67919,8),(67920,3),(67921,1),(67922,4),(67923,3),(67924,7),(67925,2),(67926,3),(67927,4),(67928,3),(67929,3),(67930,3),(67931,5),(67932,5),(67933,3),(67934,4),(67935,8),(67936,8),(67937,8),(67938,5),(67939,5),(67940,9),(67941,4),(67942,7),(67943,6),(67944,4),(67945,5),(67946,2),(67947,9),(67948,9),(67949,4),(67950,5),(67951,9),(67952,3),(67953,3),(67954,3),(67955,3),(67956,1),(67957,8),(67958,8),(67959,2),(67960,2),(67961,1),(67962,1),(67963,8),(67964,9),(67965,4),(67966,4),(67967,9),(67968,7),(67969,9),(67970,7),(67971,1),(67972,2),(67973,5),(67974,4),(67975,7),(67976,9),(67977,3),(67978,5),(67979,3),(67980,5),(67981,3),(67982,8),(67983,7),(67984,7),(67985,1),(67986,7),(67987,3),(67988,4),(67989,3),(67990,3),(67991,7),(67992,7),(67993,5),(67994,3),(67995,5),(67996,6),(67997,3),(67998,6),(67999,6),(68000,9),(68001,4),(68002,7),(68003,6),(68004,8),(68005,9),(68006,6),(68007,3),(68008,4),(68009,8),(68010,4),(68011,2),(68012,6),(68013,9),(68014,6),(68015,2),(68016,2),(68017,3),(68018,3),(68019,8),(68020,1),(68021,8),(68022,3),(68023,1),(68024,2),(68025,1),(68026,8),(68027,3),(68028,7),(68029,7),(68030,8),(68031,2),(68032,9),(68033,1),(68034,6),(68035,4),(68036,4),(68037,8),(68038,8),(68039,8),(68040,4),(68041,5),(68042,3),(68043,2),(68044,4),(68045,4),(68046,7),(68047,5),(68048,1),(68049,2),(68050,3),(68051,5),(68052,2),(68053,9),(68054,3),(68055,4),(68056,7),(68057,6),(68058,6),(68059,5),(68060,2),(68061,4),(68062,5),(68063,6),(68064,6),(68065,4),(68066,4),(68067,6),(68068,7),(68069,5),(68070,5),(68071,5),(68072,3),(68073,5),(68074,4),(68075,4),(68076,7),(68077,7),(68078,4),(68079,6),(68080,7),(68081,5),(68082,3),(68083,4),(68084,2),(68085,4),(68086,4),(68087,3),(68088,8),(68089,1),(68090,8),(68091,5),(68092,3),(68093,6),(68094,5),(68095,2),(68096,6),(68097,4),(68098,2),(68099,8),(68100,2),(68101,9),(68102,5),(68103,3),(68104,2),(68105,2),(68106,5),(68107,7),(68108,1),(68109,4),(68110,4),(68111,6),(68112,3),(68113,6),(68114,9),(68115,3),(68116,1),(68117,6),(68118,7),(68119,8),(68120,6),(68121,6),(68122,7),(68123,7),(68124,3),(68125,1),(68126,3),(68127,8),(68128,3),(68129,4),(68130,7),(68131,4),(68132,9),(68133,2),(68134,9),(68135,3),(68136,1),(68137,6),(68138,1),(68139,3),(68140,7),(68141,1),(68142,1),(68143,4),(68144,5),(68145,3),(68146,3),(68147,1),(68148,6),(68149,7),(68150,1),(68151,8),(68152,3),(68153,2),(68154,9),(68155,4),(68156,5),(68157,4),(68158,8),(68159,8),(68160,3),(68161,6),(68162,3),(68163,2),(68164,1),(68165,3),(68166,4),(68167,3),(68168,1),(68169,2),(68170,3),(68171,9),(68172,7),(68173,4),(68174,4),(68175,5),(68176,3),(68177,7),(68178,1),(68179,2),(68180,1),(68181,9),(68182,5),(68183,7),(68184,2),(68185,1),(68186,6),(68187,8),(68188,9),(68189,4),(68190,1),(68191,9),(68192,1),(68193,3),(68194,6),(68195,4),(68196,7),(68197,7),(68198,2),(68199,2),(68200,7),(68201,8),(68202,7),(68203,8),(68204,8),(68205,8),(68206,4),(68207,7),(68208,5),(68209,1),(68210,7),(68211,8),(68212,8),(68213,6),(68214,4),(68215,4),(68216,3),(68217,8),(68218,8),(68219,3),(68220,4),(68221,3),(68222,6),(68223,7),(68224,4),(68225,2),(68226,5),(68227,2),(68228,9),(68229,3),(68230,9),(68231,9),(68232,9),(68233,2),(68234,6),(68235,9),(68236,2),(68237,1),(68238,9),(68239,9),(68240,2),(68241,4),(68242,7),(68243,6),(68244,5),(68245,9),(68246,8),(68247,5),(68248,3),(68249,8),(68250,7),(68251,4),(68252,1),(68253,3),(68254,4),(68255,7),(68256,9),(68257,1),(68258,7),(68259,8),(68260,2),(68261,1),(68262,3),(68263,3),(68264,5),(68265,6),(68266,7),(68267,9),(68268,1),(68269,9),(68270,8),(68271,5),(68272,1),(68273,7),(68274,8),(68275,6),(68276,2),(68277,1),(68278,6),(68279,5),(68280,9),(68281,4),(68282,9),(68283,1),(68284,7),(68285,3),(68286,7),(68287,1),(68288,3),(68289,4),(68290,5),(68291,8),(68292,2),(68293,1),(68294,4),(68295,6),(68296,6),(68297,1),(68298,6),(68299,5),(68300,1),(68301,7),(68302,8),(68303,9),(68304,7),(68305,8),(68306,2),(68307,8),(68308,4),(68309,9),(68310,4),(68311,7),(68312,3),(68313,4),(68314,7),(68315,6),(68316,5),(68317,3),(68318,8),(68319,2),(68320,6),(68321,9),(68322,6),(68323,1),(68324,2),(68325,6),(68326,7),(68327,5),(68328,1),(68329,8),(68330,8),(68331,6),(68332,6),(68333,2),(68334,3),(68335,1),(68336,8),(68337,3),(68338,1),(68339,6),(68340,9),(68341,1),(68342,3),(68343,8),(68344,6),(68345,1),(68346,2),(68347,8),(68348,9),(68349,5),(68350,1),(68351,3),(68352,3),(68353,8),(68354,8),(68355,7),(68356,3),(68357,6),(68358,7),(68359,6),(68360,9),(68361,5),(68362,8),(68363,3),(68364,5),(68365,4),(68366,2),(68367,5),(68368,1),(68369,3),(68370,8),(68371,1),(68372,3),(68373,2),(68374,9),(68375,2),(68376,9),(68377,4),(68378,6),(68379,8),(68380,1),(68381,9),(68382,2),(68383,6),(68384,6),(68385,2),(68386,3),(68387,8),(68388,6),(68389,7),(68390,3),(68391,5),(68392,9),(68393,1),(68394,3),(68395,2),(68396,8),(68397,2),(68398,4),(68399,2),(68400,9),(68401,1),(68402,1),(68403,8),(68404,4),(68405,7),(68406,8),(68407,1),(68408,9),(68409,3),(68410,8),(68411,9),(68412,3),(68413,4),(68414,9),(68415,2),(68416,1),(68417,4),(68418,5),(68419,5),(68420,3),(68421,3),(68422,1),(68423,5),(68424,1),(68425,2),(68426,9),(68427,6),(68428,3),(68429,3),(68430,1),(68431,9),(68432,3),(68433,1),(68434,2),(68435,1),(68436,3),(68437,7),(68438,1),(68439,8),(68440,6),(68441,9),(68442,1),(68443,2),(68444,5),(68445,6),(68446,6),(68447,1),(68448,8),(68449,8),(68450,6),(68451,6),(68452,7),(68453,6),(68454,6),(68455,9),(68456,8),(68457,3),(68458,7),(68459,1),(68460,1),(68461,4),(68462,3),(68463,5),(68464,3),(68465,2),(68466,8),(68467,9),(68468,7),(68469,9),(68470,9),(68471,6),(68472,2),(68473,4),(68474,4),(68475,1),(68476,6),(68477,4),(68478,7),(68479,3),(68480,2),(68481,3),(68482,3),(68483,3),(68484,2),(68485,4),(68486,2),(68487,6),(68488,6),(68489,6),(68490,2),(68491,9),(68492,5),(68493,7),(68494,2),(68495,4),(68496,7),(68497,2),(68498,8),(68499,2),(68500,5),(68501,5),(68502,1),(68503,2),(68504,7),(68505,1),(68506,6),(68507,1),(68508,5),(68509,3),(68510,6),(68511,4),(68512,8),(68513,3),(68514,6),(68515,8),(68516,5),(68517,9),(68518,9),(68519,7),(68520,5),(68521,9),(68522,5),(68523,9),(68524,3),(68525,9),(68526,6),(68527,8),(68528,9),(68529,3),(68530,4),(68531,3),(68532,8),(68533,7),(68534,5),(68535,9),(68536,7),(68537,1),(68538,4),(68539,6),(68540,3),(68541,5),(68542,2),(68543,2),(68544,6),(68545,7),(68546,2),(68547,1),(68548,1),(68549,9),(68550,5),(68551,4),(68552,1),(68553,4),(68554,4),(68555,8),(68556,2),(68557,7),(68558,1),(68559,6),(68560,7),(68561,6),(68562,2),(68563,4),(68564,9),(68565,9),(68566,6),(68567,2),(68568,1),(68569,9),(68570,2),(68571,5),(68572,8),(68573,7),(68574,4),(68575,5),(68576,4),(68577,2),(68578,6),(68579,7),(68580,1),(68581,9),(68582,1),(68583,4),(68584,6),(68585,9),(68586,2),(68587,8),(68588,5),(68589,4),(68590,4),(68591,7),(68592,3),(68593,7),(68594,2),(68595,5),(68596,1),(68597,6),(68598,5),(68599,9),(68600,5),(68601,7),(68602,8),(68603,1),(68604,1),(68605,3),(68606,7),(68607,2),(68608,1),(68609,1),(68610,4),(68611,8),(68612,3),(68613,4),(68614,6),(68615,7),(68616,7),(68617,9),(68618,3),(68619,2),(68620,3),(68621,1),(68622,5),(68623,6),(68624,2),(68625,6),(68626,3),(68627,6),(68628,2),(68629,8),(68630,4),(68631,1),(68632,1),(68633,7),(68634,4),(68635,2),(68636,3),(68637,3),(68638,7),(68639,1),(68640,4),(68641,2),(68642,8),(68643,1),(68644,7),(68645,3),(68646,5),(68647,7),(68648,9),(68649,2),(68650,2),(68651,6),(68652,9),(68653,2),(68654,7),(68655,7),(68656,8),(68657,8),(68658,7),(68659,3),(68660,5),(68661,8),(68662,9),(68663,5),(68664,2),(68665,1),(68666,6),(68667,3),(68668,7),(68669,1),(68670,9),(68671,7),(68672,8),(68673,6),(68674,3),(68675,6),(68676,3),(68677,8),(68678,9),(68679,5),(68680,7),(68681,4),(68682,9),(68683,5),(68684,5),(68685,2),(68686,2),(68687,6),(68688,1),(68689,9),(68690,8),(68691,3),(68692,7),(68693,7),(68694,8),(68695,9),(68696,9),(68697,8),(68698,6),(68699,6),(68700,4),(68701,2),(68702,8),(68703,9),(68704,4),(68705,9),(68706,8),(68707,6),(68708,3),(68709,3),(68710,9),(68711,3),(68712,9),(68713,1),(68714,7),(68715,7),(68716,1),(68717,7),(68718,4),(68719,1),(68720,3),(68721,6),(68722,5),(68723,8),(68724,2),(68725,5),(68726,5),(68727,4),(68728,1),(68729,8),(68730,5),(68731,9),(68732,8),(68733,9),(68734,1),(68735,2),(68736,4),(68737,3),(68738,2),(68739,7),(68740,4),(68741,3),(68742,9),(68743,9),(68744,5),(68745,8),(68746,4),(68747,6),(68748,7),(68749,3),(68750,7),(68751,2),(68752,9),(68753,2),(68754,7),(68755,4),(68756,7),(68757,7),(68758,1),(68759,6),(68760,7),(68761,4),(68762,9),(68763,8),(68764,2),(68765,5),(68766,8),(68767,5),(68768,3),(68769,9),(68770,8),(68771,5),(68772,2),(68773,3),(68774,7),(68775,8),(68776,7),(68777,3),(68778,2),(68779,3),(68780,6),(68781,7),(68782,2),(68783,5),(68784,4),(68785,6),(68786,6),(68787,5),(68788,2),(68789,7),(68790,2),(68791,8),(68792,3),(68793,5),(68794,9),(68795,2),(68796,4),(68797,9),(68798,4),(68799,7),(68800,8),(68801,3),(68802,8),(68803,3),(68804,4),(68805,2),(68806,7),(68807,8),(68808,1),(68809,9),(68810,5),(68811,3),(68812,1),(68813,4),(68814,6),(68815,5),(68816,4),(68817,8),(68818,8),(68819,6),(68820,2),(68821,1),(68822,5),(68823,8),(68824,3),(68825,8),(68826,5),(68827,6),(68828,9),(68829,5),(68830,5),(68831,7),(68832,3),(68833,8),(68834,4),(68835,2),(68836,2),(68837,3),(68838,3),(68839,8),(68840,3),(68841,1),(68842,5),(68843,8),(68844,8),(68845,8),(68846,4),(68847,7),(68848,8),(68849,4),(68850,1),(68851,1),(68852,7),(68853,8),(68854,6),(68855,8),(68856,6),(68857,5),(68858,5),(68859,3),(68860,2),(68861,9),(68862,5),(68863,1),(68864,2),(68865,4),(68866,7),(68867,8),(68868,4),(68869,8),(68870,1),(68871,8),(68872,4),(68873,3),(68874,1),(68875,8),(68876,8),(68877,6),(68878,8),(68879,1),(68880,8),(68881,3),(68882,2),(68883,5),(68884,1),(68885,6),(68886,5),(68887,5),(68888,8),(68889,7),(68890,9),(68891,2),(68892,1),(68893,6),(68894,6),(68895,7),(68896,2),(68897,7),(68898,5),(68899,5),(68900,7),(68901,3),(68902,1),(68903,2),(68904,8),(68905,2),(68906,7),(68907,1),(68908,7),(68909,5),(68910,9),(68911,2),(68912,5),(68913,2),(68914,8),(68915,8),(68916,9),(68917,6),(68918,8),(68919,5),(68920,5),(68921,8),(68922,6),(68923,8),(68924,5),(68925,3),(68926,2),(68927,4),(68928,5),(68929,9),(68930,2),(68931,2),(68932,6),(68933,9),(68934,5),(68935,6),(68936,6),(68937,5),(68938,8),(68939,3),(68940,5),(68941,3),(68942,9),(68943,3),(68944,4),(68945,3),(68946,6),(68947,6),(68948,6),(68949,4),(68950,6),(68951,2),(68952,4),(68953,1),(68954,1),(68955,4),(68956,3),(68957,2),(68958,7),(68959,6),(68960,5),(68961,3),(68962,7),(68963,1),(68964,2),(68965,6),(68966,9),(68967,3),(68968,3),(68969,7),(68970,3),(68971,1),(68972,7),(68973,5),(68974,4),(68975,9),(68976,4),(68977,3),(68978,3),(68979,9),(68980,5),(68981,6),(68982,2),(68983,1),(68984,4),(68985,2),(68986,6),(68987,1),(68988,2),(68989,3),(68990,5),(68991,6),(68992,7),(68993,1),(68994,9),(68995,3),(68996,3),(68997,3),(68998,3),(68999,3),(69000,5),(69001,6),(69002,5),(69003,6),(69004,8),(69005,6),(69006,5),(69007,1),(69008,2),(69009,5),(69010,6),(69011,5),(69012,2),(69013,8),(69014,7),(69015,5),(69016,8),(69017,5),(69018,2),(69019,5),(69020,1),(69021,1),(69022,4),(69023,8),(69024,8),(69025,9),(69026,2),(69027,5),(69028,8),(69029,1),(69030,2),(69031,3),(69032,9),(69033,6),(69034,7),(69035,8),(69036,6),(69037,5),(69038,6),(69039,1),(69040,1),(69041,2),(69042,2),(69043,4),(69044,9),(69045,3),(69046,6),(69047,3),(69048,8),(69049,5),(69050,4),(69051,4),(69052,4),(69053,9),(69054,4),(69055,3),(69056,6),(69057,8),(69058,5),(69059,9),(69060,6),(69061,7),(69062,7),(69063,6),(69064,9),(69065,5),(69066,9),(69067,1),(69068,9),(69069,4),(69070,6),(69071,4),(69072,5),(69073,1),(69074,8),(69075,7),(69076,2),(69077,4),(69078,8),(69079,7),(69080,5),(69081,3),(69082,7),(69083,3),(69084,1),(69085,2),(69086,6),(69087,3),(69088,8),(69089,5),(69090,7),(69091,5),(69092,5),(69093,3),(69094,9),(69095,5),(69096,6),(69097,2),(69098,7),(69099,6),(69100,2),(69101,2),(69102,9),(69103,5),(69104,3),(69105,7),(69106,1),(69107,4),(69108,4),(69109,6),(69110,2),(69111,1),(69112,6),(69113,2),(69114,9),(69115,2),(69116,7),(69117,1),(69118,5),(69119,2),(69120,2),(69121,6),(69122,8),(69123,5),(69124,2),(69125,5),(69126,5),(69127,4),(69128,4),(69129,9),(69130,5),(69131,4),(69132,9),(69133,8),(69134,6),(69135,1),(69136,9),(69137,2),(69138,5),(69139,8),(69140,9),(69141,6),(69142,9),(69143,6),(69144,7),(69145,6),(69146,9),(69147,4),(69148,1),(69149,6),(69150,1),(69151,1),(69152,2),(69153,1),(69154,8),(69155,8),(69156,6),(69157,6),(69158,5),(69159,6),(69160,7),(69161,7),(69162,7),(69163,5),(69164,5),(69165,1),(69166,2),(69167,8),(69168,2),(69169,4),(69170,6),(69171,4),(69172,9),(69173,8),(69174,8),(69175,8),(69176,9),(69177,9),(69178,7),(69179,1),(69180,4),(69181,4),(69182,7),(69183,3),(69184,1),(69185,1),(69186,2),(69187,7),(69188,9),(69189,5),(69190,4),(69191,1),(69192,8),(69193,6),(69194,9),(69195,9),(69196,9),(69197,6),(69198,1),(69199,3),(69200,8),(69201,4),(69202,4),(69203,1),(69204,6),(69205,8),(69206,6),(69207,2),(69208,6),(69209,4),(69210,9),(69211,1),(69212,1),(69213,4),(69214,3),(69215,8),(69216,1),(69217,1),(69218,1),(69219,6),(69220,7),(69221,2),(69222,5),(69223,3),(69224,1),(69225,9),(69226,4),(69227,5),(69228,3),(69229,4),(69230,5),(69231,5),(69232,4),(69233,4),(69234,7),(69235,2),(69236,8),(69237,1),(69238,9),(69239,5),(69240,9),(69241,5),(69242,9),(69243,2),(69244,7),(69245,4),(69246,2),(69247,4),(69248,3),(69249,1),(69250,8),(69251,9),(69252,3),(69253,5),(69254,5),(69255,7),(69256,4),(69257,7),(69258,4),(69259,4),(69260,3),(69261,8),(69262,9),(69263,6),(69264,9),(69265,4),(69266,2),(69267,8),(69268,4),(69269,7),(69270,3),(69271,2),(69272,3),(69273,3),(69274,8),(69275,5),(69276,9),(69277,6),(69278,8),(69279,3),(69280,9),(69281,3),(69282,4),(69283,7),(69284,3),(69285,7),(69286,7),(69287,9),(69288,6),(69289,3),(69290,3),(69291,5),(69292,6),(69293,6),(69294,6),(69295,8),(69296,4),(69297,3),(69298,2),(69299,2),(69300,4),(69301,2),(69302,5),(69303,1),(69304,5),(69305,1),(69306,4),(69307,5),(69308,9),(69309,9),(69310,5),(69311,1),(69312,1),(69313,4),(69314,7),(69315,8),(69316,2),(69317,6),(69318,7),(69319,2),(69320,9),(69321,7),(69322,2),(69323,8),(69324,4),(69325,1),(69326,7),(69327,5),(69328,2),(69329,3),(69330,3),(69331,5),(69332,3),(69333,7),(69334,3),(69335,2),(69336,1),(69337,8),(69338,7),(69339,8),(69340,5),(69341,1),(69342,7),(69343,6),(69344,7),(69345,4),(69346,3),(69347,7),(69348,2),(69349,1),(69350,8),(69351,9),(69352,1),(69353,3),(69354,8),(69355,9),(69356,6),(69357,5),(69358,2),(69359,3),(69360,9),(69361,7),(69362,9),(69363,7),(69364,9),(69365,4),(69366,5),(69367,9),(69368,1),(69369,7),(69370,8),(69371,3),(69372,2),(69373,8),(69374,7),(69375,4),(69376,8),(69377,2),(69378,2),(69379,5),(69380,2),(69381,8),(69382,6),(69383,1),(69384,5),(69385,5),(69386,4),(69387,5),(69388,6),(69389,3),(69390,9),(69391,3),(69392,3),(69393,8),(69394,7),(69395,8),(69396,3),(69397,1),(69398,8),(69399,3),(69400,3),(69401,5),(69402,2),(69403,3),(69404,3),(69405,3),(69406,7),(69407,7),(69408,9),(69409,6),(69410,8),(69411,4),(69412,3),(69413,2),(69414,7),(69415,8),(69416,1),(69417,2),(69418,9),(69419,6),(69420,8),(69421,9),(69422,6),(69423,5),(69424,4),(69425,2),(69426,7),(69427,8),(69428,7),(69429,3),(69430,3),(69431,1),(69432,7),(69433,8),(69434,2),(69435,6),(69436,5),(69437,1),(69438,6),(69439,2),(69440,4),(69441,7),(69442,7),(69443,1),(69444,4),(69445,8),(69446,1),(69447,6),(69448,6),(69449,1),(69450,9),(69451,6),(69452,6),(69453,5),(69454,6),(69455,1),(69456,8),(69457,4),(69458,8),(69459,4),(69460,1),(69461,6),(69462,3),(69463,5),(69464,7),(69465,1),(69466,6),(69467,5),(69468,3),(69469,2),(69470,3),(69471,4),(69472,3),(69473,7),(69474,5),(69475,5),(69476,5),(69477,2),(69478,1),(69479,3),(69480,7),(69481,3),(69482,5),(69483,7),(69484,6),(69485,1),(69486,8),(69487,5),(69488,8),(69489,5),(69490,7),(69491,4),(69492,3),(69493,9),(69494,9),(69495,4),(69496,5),(69497,8),(69498,9),(69499,8),(69500,7),(69501,4),(69502,2),(69503,8),(69504,5),(69505,4),(69506,4),(69507,4),(69508,1),(69509,1),(69510,2),(69511,8),(69512,8),(69513,6),(69514,9),(69515,7),(69516,7),(69517,9),(69518,9),(69519,9),(69520,4),(69521,8),(69522,8),(69523,8),(69524,5),(69525,5),(69526,3),(69527,8),(69528,2),(69529,1),(69530,5),(69531,2),(69532,7),(69533,4),(69534,1),(69535,3),(69536,7),(69537,8),(69538,3),(69539,5),(69540,5),(69541,6),(69542,1),(69543,8),(69544,8),(69545,4),(69546,4),(69547,4),(69548,9),(69549,8),(69550,7),(69551,7),(69552,3),(69553,1),(69554,3),(69555,4),(69556,7),(69557,2),(69558,4),(69559,9),(69560,1),(69561,5),(69562,8),(69563,5),(69564,7),(69565,7),(69566,3),(69567,9),(69568,7),(69569,3),(69570,3),(69571,5),(69572,2),(69573,6),(69574,4),(69575,8),(69576,1),(69577,8),(69578,2),(69579,5),(69580,3),(69581,3),(69582,7),(69583,4),(69584,4),(69585,4),(69586,4),(69587,2),(69588,3),(69589,9),(69590,9),(69591,5),(69592,1),(69593,6),(69594,3),(69595,2),(69596,9),(69597,8),(69598,2),(69599,8),(69600,9),(69601,4),(69602,5),(69603,5),(69604,5),(69605,4),(69606,5),(69607,4),(69608,5),(69609,2),(69610,4),(69611,9),(69612,3),(69613,9),(69614,3),(69615,7),(69616,2),(69617,2),(69618,1),(69619,1),(69620,3),(69621,8),(69622,5),(69623,7),(69624,5),(69625,1),(69626,4),(69627,2),(69628,6),(69629,4),(69630,7),(69631,8),(69632,7),(69633,3),(69634,4),(69635,8),(69636,9),(69637,5),(69638,6),(69639,2),(69640,3),(69641,8),(69642,4),(69643,1),(69644,7),(69645,4),(69646,8),(69647,1),(69648,8),(69649,6),(69650,8),(69651,3),(69652,7),(69653,4),(69654,8),(69655,9),(69656,9),(69657,6),(69658,5),(69659,2),(69660,3),(69661,1),(69662,8),(69663,5),(69664,4),(69665,6),(69666,4),(69667,1),(69668,6),(69669,5),(69670,8),(69671,7),(69672,3),(69673,4),(69674,3),(69675,2),(69676,9),(69677,5),(69678,3),(69679,2),(69680,3),(69681,1),(69682,4),(69683,9),(69684,2),(69685,8),(69686,8),(69687,1),(69688,4),(69689,8),(69690,4),(69691,2),(69692,9),(69693,3),(69694,4),(69695,8),(69696,9),(69697,5),(69698,9),(69699,6),(69700,4),(69701,6),(69702,5),(69703,6),(69704,6),(69705,2),(69706,3),(69707,8),(69708,7),(69709,2),(69710,3),(69711,2),(69712,2),(69713,8),(69714,1),(69715,2),(69716,2),(69717,4),(69718,9),(69719,4),(69720,1),(69721,5),(69722,4),(69723,4),(69724,4),(69725,5),(69726,6),(69727,6),(69728,2),(69729,2),(69730,7),(69731,3),(69732,3),(69733,5),(69734,7),(69735,2),(69736,7),(69737,1),(69738,2),(69739,2),(69740,8),(69741,6),(69742,7),(69743,1),(69744,8),(69745,1),(69746,2),(69747,4),(69748,3),(69749,3),(69750,1),(69751,9),(69752,4),(69753,6),(69754,9),(69755,8),(69756,7),(69757,8),(69758,2),(69759,2),(69760,4),(69761,9),(69762,1),(69763,1),(69764,2),(69765,3),(69766,5),(69767,5),(69768,7),(69769,6),(69770,8),(69771,3),(69772,5),(69773,8),(69774,9),(69775,1),(69776,9),(69777,2),(69778,2),(69779,4),(69780,5),(69781,1),(69782,3),(69783,4),(69784,5),(69785,8),(69786,8),(69787,7),(69788,5),(69789,6),(69790,8),(69791,8),(69792,8),(69793,8),(69794,4),(69795,4),(69796,1),(69797,6),(69798,2),(69799,4),(69800,1),(69801,6),(69802,7),(69803,1),(69804,4),(69805,1),(69806,5),(69807,2),(69808,5),(69809,8),(69810,3),(69811,3),(69812,2),(69813,7),(69814,9),(69815,2),(69816,9),(69817,8),(69818,2),(69819,6),(69820,3),(69821,4),(69822,3),(69823,2),(69824,3),(69825,9),(69826,4),(69827,8),(69828,1),(69829,8),(69830,3),(69831,8),(69832,4),(69833,8),(69834,5),(69835,9),(69836,9),(69837,1),(69838,1),(69839,3),(69840,2),(69841,3),(69842,5),(69843,4),(69844,5),(69845,7),(69846,2),(69847,8),(69848,3),(69849,3),(69850,6),(69851,2),(69852,3),(69853,3),(69854,2),(69855,4),(69856,2),(69857,9),(69858,8),(69859,7),(69860,2),(69861,6),(69862,3),(69863,6),(69864,9),(69865,4),(69866,5),(69867,1),(69868,1),(69869,6),(69870,2),(69871,9),(69872,3),(69873,9),(69874,7),(69875,1),(69876,8),(69877,7),(69878,8),(69879,5),(69880,7),(69881,7),(69882,3),(69883,3),(69884,5),(69885,8),(69886,5),(69887,5),(69888,1),(69889,4),(69890,9),(69891,5),(69892,1),(69893,6),(69894,6),(69895,9),(69896,9),(69897,5),(69898,8),(69899,4),(69900,8),(69901,1),(69902,5),(69903,4),(69904,9),(69905,4),(69906,3),(69907,9),(69908,4),(69909,8),(69910,5),(69911,1),(69912,9),(69913,6),(69914,7),(69915,5),(69916,8),(69917,7),(69918,6),(69919,8),(69920,2),(69921,6),(69922,5),(69923,8),(69924,6),(69925,1),(69926,2),(69927,6),(69928,6),(69929,4),(69930,2),(69931,8),(69932,2),(69933,1),(69934,5),(69935,9),(69936,6),(69937,7),(69938,5),(69939,4),(69940,3),(69941,5),(69942,8),(69943,3),(69944,2),(69945,3),(69946,6),(69947,9),(69948,5),(69949,9),(69950,4),(69951,1),(69952,7),(69953,3),(69954,2),(69955,4),(69956,9),(69957,8),(69958,8),(69959,3),(69960,9),(69961,6),(69962,1),(69963,2),(69964,3),(69965,1),(69966,6),(69967,6),(69968,9),(69969,8),(69970,7),(69971,6),(69972,2),(69973,3),(69974,6),(69975,3),(69976,5),(69977,5),(69978,1),(69979,9),(69980,5),(69981,7),(69982,2),(69983,9),(69984,5),(69985,1),(69986,9),(69987,8),(69988,5),(69989,7),(69990,7),(69991,1),(69992,6),(69993,2),(69994,9),(69995,4),(69996,9),(69997,3),(69998,2),(69999,9),(70000,2),(70001,6),(70002,8),(70003,1),(70004,6),(70005,5),(70006,9),(70007,5),(70008,7),(70009,3),(70010,6),(70011,5),(70012,9),(70013,5),(70014,9),(70015,4),(70016,8),(70017,7),(70018,6),(70019,3),(70020,1),(70021,6),(70022,9),(70023,9),(70024,5),(70025,9),(70026,4),(70027,2),(70028,3),(70029,9),(70030,8),(70031,4),(70032,4),(70033,4),(70034,4),(70035,4),(70036,2),(70037,3),(70038,3),(70039,3),(70040,5),(70041,1),(70042,8),(70043,9),(70044,9),(70045,7),(70046,6),(70047,9),(70048,5),(70049,8),(70050,1),(70051,4),(70052,6),(70053,6),(70054,5),(70055,1),(70056,6),(70057,9),(70058,3),(70059,2),(70060,3),(70061,2),(70062,7),(70063,8),(70064,6),(70065,7),(70066,8),(70067,3),(70068,7),(70069,2),(70070,1),(70071,2),(70072,7),(70073,4),(70074,2),(70075,7),(70076,7),(70077,3),(70078,7),(70079,4),(70080,7),(70081,4),(70082,7),(70083,2),(70084,8),(70085,6),(70086,6),(70087,6),(70088,9),(70089,9),(70090,2),(70091,3),(70092,6),(70093,5),(70094,9),(70095,7),(70096,8),(70097,8),(70098,9),(70099,8),(70100,5),(70101,3),(70102,1),(70103,8),(70104,1),(70105,9),(70106,3),(70107,3),(70108,8),(70109,5),(70110,6),(70111,8),(70112,7),(70113,2),(70114,4),(70115,7),(70116,8),(70117,3),(70118,9),(70119,9),(70120,3),(70121,5),(70122,2),(70123,2),(70124,2),(70125,9),(70126,3),(70127,8),(70128,5),(70129,7),(70130,5),(70131,1),(70132,4),(70133,3),(70134,4),(70135,4),(70136,9),(70137,6),(70138,8),(70139,4),(70140,9),(70141,2),(70142,6),(70143,1),(70144,6),(70145,2),(70146,8),(70147,6),(70148,8),(70149,3),(70150,5),(70151,9),(70152,6),(70153,1),(70154,7),(70155,3),(70156,2),(70157,8),(70158,1),(70159,3),(70160,4),(70161,6),(70162,2),(70163,6),(70164,5),(70165,3),(70166,5),(70167,8),(70168,1),(70169,8),(70170,9),(70171,7),(70172,1),(70173,5),(70174,5),(70175,5),(70176,7),(70177,5),(70178,5),(70179,8),(70180,5),(70181,1),(70182,6),(70183,1),(70184,2),(70185,6),(70186,1),(70187,2),(70188,8),(70189,1),(70190,8),(70191,4),(70192,7),(70193,8),(70194,1),(70195,6),(70196,6),(70197,2),(70198,9),(70199,3),(70200,1),(70201,3),(70202,2),(70203,3),(70204,9),(70205,5),(70206,6),(70207,9),(70208,6),(70209,5),(70210,9),(70211,2),(70212,8),(70213,5),(70214,6),(70215,7),(70216,1),(70217,5),(70218,1),(70219,8),(70220,3),(70221,6),(70222,3),(70223,2),(70224,4),(70225,5),(70226,3),(70227,6),(70228,1),(70229,5),(70230,7),(70231,9),(70232,8),(70233,7),(70234,9),(70235,6),(70236,1),(70237,7),(70238,4),(70239,9),(70240,9),(70241,9),(70242,1),(70243,8),(70244,2),(70245,6),(70246,5),(70247,2),(70248,9),(70249,4),(70250,8),(70251,1),(70252,1),(70253,9),(70254,4),(70255,6),(70256,9),(70257,7),(70258,3),(70259,7),(70260,5),(70261,8),(70262,1),(70263,6),(70264,3),(70265,3),(70266,6),(70267,9),(70268,2),(70269,9),(70270,1),(70271,6),(70272,3),(70273,8),(70274,5),(70275,7),(70276,7),(70277,4),(70278,6),(70279,9),(70280,4),(70281,1),(70282,5),(70283,1),(70284,2),(70285,1),(70286,9),(70287,7),(70288,9),(70289,8),(70290,2),(70291,7),(70292,6),(70293,4),(70294,4),(70295,9),(70296,3),(70297,2),(70298,4),(70299,8),(70300,4),(70301,3),(70302,4),(70303,6),(70304,8),(70305,7),(70306,2),(70307,5),(70308,9),(70309,1),(70310,3),(70311,1),(70312,8),(70313,6),(70314,1),(70315,7),(70316,1),(70317,7),(70318,8),(70319,8),(70320,3),(70321,3),(70322,4),(70323,4),(70324,1),(70325,2),(70326,3),(70327,1),(70328,6),(70329,4),(70330,9),(70331,2),(70332,8),(70333,2),(70334,9),(70335,9),(70336,7),(70337,4),(70338,7),(70339,2),(70340,7),(70341,5),(70342,5),(70343,4),(70344,4),(70345,9),(70346,2),(70347,9),(70348,3),(70349,2),(70350,4),(70351,9),(70352,9),(70353,7),(70354,4),(70355,3),(70356,3),(70357,8),(70358,1),(70359,2),(70360,6),(70361,6),(70362,3),(70363,3),(70364,9),(70365,4),(70366,9),(70367,4),(70368,8),(70369,8),(70370,9),(70371,8),(70372,8),(70373,3),(70374,9),(70375,3),(70376,1),(70377,3),(70378,1),(70379,5),(70380,5),(70381,1),(70382,2),(70383,6),(70384,4),(70385,5),(70386,4),(70387,4),(70388,8),(70389,5),(70390,3),(70391,5),(70392,6),(70393,9),(70394,6),(70395,4),(70396,2),(70397,7),(70398,6),(70399,6),(70400,2),(70401,1),(70402,7),(70403,7),(70404,7),(70405,4),(70406,2),(70407,8),(70408,8),(70409,4),(70410,7),(70411,7),(70412,2),(70413,1),(70414,2),(70415,2),(70416,4),(70417,2),(70418,4),(70419,2),(70420,2),(70421,4),(70422,8),(70423,8),(70424,3),(70425,9),(70426,4),(70427,9),(70428,9),(70429,9),(70430,5),(70431,8),(70432,9),(70433,3),(70434,4),(70435,3),(70436,1),(70437,8),(70438,8),(70439,7),(70440,3),(70441,9),(70442,2),(70443,9),(70444,6),(70445,6),(70446,2),(70447,5),(70448,1),(70449,4),(70450,3),(70451,9),(70452,1),(70453,9),(70454,8),(70455,3),(70456,3),(70457,8),(70458,5),(70459,7),(70460,1),(70461,7),(70462,4),(70463,7),(70464,5),(70465,6),(70466,1),(70467,6),(70468,4),(70469,3),(70470,8),(70471,7),(70472,1),(70473,8),(70474,9),(70475,2),(70476,4),(70477,6),(70478,2),(70479,2),(70480,9),(70481,8),(70482,3),(70483,5),(70484,5),(70485,1),(70486,5),(70487,3),(70488,2),(70489,6),(70490,7),(70491,7),(70492,7),(70493,1),(70494,9),(70495,3),(70496,2),(70497,9),(70498,4),(70499,6),(70500,9),(70501,2),(70502,3),(70503,8),(70504,2),(70505,4),(70506,3),(70507,9),(70508,9),(70509,8),(70510,9),(70511,6),(70512,5),(70513,2),(70514,2),(70515,3),(70516,7),(70517,2),(70518,4),(70519,2),(70520,4),(70521,7),(70522,3),(70523,5),(70524,4),(70525,9),(70526,4),(70527,9),(70528,5),(70529,8),(70530,7),(70531,6),(70532,8),(70533,5),(70534,8),(70535,6),(70536,2),(70537,4),(70538,7),(70539,5),(70540,2),(70541,2),(70542,7),(70543,9),(70544,4),(70545,7),(70546,3),(70547,9),(70548,5),(70549,6),(70550,1),(70551,3),(70552,1),(70553,6),(70554,8),(70555,1),(70556,3),(70557,4),(70558,6),(70559,9),(70560,4),(70561,5),(70562,4),(70563,4),(70564,4),(70565,7),(70566,4),(70567,9),(70568,9),(70569,1),(70570,9),(70571,4),(70572,4),(70573,5),(70574,5),(70575,7),(70576,1),(70577,9),(70578,6),(70579,9),(70580,9),(70581,9),(70582,1),(70583,5),(70584,9),(70585,5),(70586,3),(70587,6),(70588,1),(70589,1),(70590,3),(70591,8),(70592,2),(70593,6),(70594,6),(70595,2),(70596,1),(70597,9),(70598,4),(70599,6),(70600,1),(70601,9),(70602,5),(70603,9),(70604,7),(70605,2),(70606,8),(70607,2),(70608,7),(70609,6),(70610,8),(70611,8),(70612,1),(70613,1),(70614,6),(70615,4),(70616,5),(70617,4),(70618,4),(70619,4),(70620,8),(70621,5),(70622,7),(70623,1),(70624,6),(70625,2),(70626,8),(70627,7),(70628,5),(70629,8),(70630,1),(70631,8),(70632,4),(70633,3),(70634,9),(70635,3),(70636,5),(70637,8),(70638,8),(70639,6),(70640,4),(70641,4),(70642,5),(70643,7),(70644,7),(70645,3),(70646,7),(70647,6),(70648,6),(70649,2),(70650,9),(70651,4),(70652,1),(70653,6),(70654,2),(70655,8),(70656,6),(70657,3),(70658,6),(70659,8),(70660,7),(70661,4),(70662,2),(70663,1),(70664,3),(70665,7),(70666,3),(70667,3),(70668,5),(70669,4),(70670,1),(70671,3),(70672,7),(70673,6),(70674,1),(70675,6),(70676,3),(70677,8),(70678,7),(70679,5),(70680,7),(70681,3),(70682,1),(70683,7),(70684,5),(70685,9),(70686,7),(70687,6),(70688,2),(70689,5),(70690,2),(70691,6),(70692,2),(70693,9),(70694,1),(70695,9),(70696,4),(70697,3),(70698,2),(70699,9),(70700,8),(70701,1),(70702,7),(70703,4),(70704,6),(70705,4),(70706,1),(70707,1),(70708,5),(70709,3),(70710,1),(70711,4),(70712,6),(70713,8),(70714,7),(70715,9),(70716,5),(70717,5),(70718,6),(70719,8),(70720,7),(70721,9),(70722,9),(70723,2),(70724,3),(70725,3),(70726,9),(70727,9),(70728,7),(70729,9),(70730,3),(70731,4),(70732,2),(70733,2),(70734,9),(70735,7),(70736,4),(70737,9),(70738,7),(70739,5),(70740,7),(70741,6),(70742,9),(70743,1),(70744,3),(70745,9),(70746,7),(70747,7),(70748,2),(70749,1),(70750,6),(70751,9),(70752,5),(70753,5),(70754,3),(70755,9),(70756,2),(70757,2),(70758,1),(70759,9),(70760,6),(70761,5),(70762,4),(70763,1),(70764,8),(70765,9),(70766,3),(70767,8),(70768,1),(70769,6),(70770,6),(70771,6),(70772,7),(70773,6),(70774,9),(70775,2),(70776,9),(70777,9),(70778,9),(70779,3),(70780,4),(70781,9),(70782,4),(70783,5),(70784,9),(70785,1),(70786,7),(70787,8),(70788,7),(70789,3),(70790,9),(70791,7),(70792,2),(70793,4),(70794,3),(70795,4),(70796,1),(70797,3),(70798,2),(70799,5),(70800,8),(70801,7),(70802,5),(70803,6),(70804,4),(70805,8),(70806,6),(70807,1),(70808,5),(70809,6),(70810,5),(70811,6),(70812,1),(70813,4),(70814,8),(70815,8),(70816,3),(70817,5),(70818,5),(70819,9),(70820,4),(70821,7),(70822,1),(70823,1),(70824,7),(70825,3),(70826,5),(70827,9),(70828,9),(70829,1),(70830,3),(70831,9),(70832,4),(70833,2),(70834,1),(70835,5),(70836,6),(70837,4),(70838,9),(70839,6),(70840,2),(70841,7),(70842,4),(70843,8),(70844,2),(70845,8),(70846,9),(70847,9),(70848,2),(70849,7),(70850,9),(70851,1),(70852,1),(70853,6),(70854,4),(70855,7),(70856,7),(70857,5),(70858,1),(70859,9),(70860,5),(70861,7),(70862,6),(70863,4),(70864,8),(70865,8),(70866,9),(70867,1),(70868,9),(70869,5),(70870,7),(70871,8),(70872,9),(70873,5),(70874,4),(70875,1),(70876,7),(70877,2),(70878,7),(70879,3),(70880,2),(70881,6),(70882,8),(70883,1),(70884,2),(70885,5),(70886,4),(70887,6),(70888,9),(70889,2),(70890,1),(70891,2),(70892,6),(70893,7),(70894,5),(70895,8),(70896,4),(70897,4),(70898,1),(70899,4),(70900,7),(70901,9),(70902,7),(70903,2),(70904,2),(70905,4),(70906,9),(70907,4),(70908,9),(70909,6),(70910,7),(70911,8),(70912,8),(70913,8),(70914,4),(70915,8),(70916,5),(70917,8),(70918,1),(70919,2),(70920,5),(70921,2),(70922,1),(70923,1),(70924,8),(70925,7),(70926,3),(70927,5),(70928,5),(70929,2),(70930,6),(70931,5),(70932,3),(70933,8),(70934,4),(70935,5),(70936,9),(70937,4),(70938,8),(70939,9),(70940,4),(70941,3),(70942,9),(70943,3),(70944,8),(70945,8),(70946,4),(70947,4),(70948,2),(70949,9),(70950,4),(70951,3),(70952,3),(70953,5),(70954,9),(70955,5),(70956,6),(70957,9),(70958,2),(70959,5),(70960,6),(70961,9),(70962,5),(70963,4),(70964,3),(70965,3),(70966,5),(70967,1),(70968,1),(70969,1),(70970,6),(70971,4),(70972,6),(70973,2),(70974,8),(70975,2),(70976,5),(70977,9),(70978,7),(70979,1),(70980,1),(70981,6),(70982,5),(70983,4),(70984,2),(70985,1),(70986,7),(70987,5),(70988,4),(70989,2),(70990,5),(70991,3),(70992,3),(70993,6),(70994,3),(70995,4),(70996,3),(70997,7),(70998,1),(70999,2),(71000,4),(71001,2),(71002,2),(71003,5),(71004,4),(71005,4),(71006,1),(71007,3),(71008,1),(71009,1),(71010,3),(71011,8),(71012,8),(71013,3),(71014,6),(71015,5),(71016,1),(71017,4),(71018,4),(71019,3),(71020,7),(71021,5),(71022,8),(71023,3),(71024,7),(71025,6),(71026,2),(71027,5),(71028,6),(71029,7),(71030,9),(71031,9),(71032,9),(71033,2),(71034,2),(71035,6),(71036,6),(71037,4),(71038,8),(71039,6),(71040,4),(71041,2),(71042,5),(71043,7),(71044,5),(71045,2),(71046,6),(71047,1),(71048,3),(71049,6),(71050,9),(71051,9),(71052,7),(71053,4),(71054,8),(71055,2),(71056,6),(71057,8),(71058,5),(71059,7),(71060,3),(71061,6),(71062,5),(71063,1),(71064,4),(71065,8),(71066,1),(71067,5),(71068,1),(71069,6),(71070,7),(71071,9),(71072,9),(71073,8),(71074,3),(71075,9),(71076,2),(71077,4),(71078,4),(71079,8),(71080,9),(71081,3),(71082,3),(71083,3),(71084,2),(71085,7),(71086,6),(71087,2),(71088,5),(71089,9),(71090,1),(71091,7),(71092,1),(71093,3),(71094,1),(71095,1),(71096,7),(71097,4),(71098,4),(71099,2),(71100,1),(71101,7),(71102,8),(71103,1),(71104,5),(71105,8),(71106,8),(71107,1),(71108,1),(71109,6),(71110,8),(71111,9),(71112,7),(71113,9),(71114,5),(71115,4),(71116,1),(71117,1),(71118,3),(71119,1),(71120,1),(71121,1),(71122,9),(71123,7),(71124,6),(71125,2),(71126,1),(71127,3),(71128,1),(71129,7),(71130,8),(71131,9),(71132,7),(71133,1),(71134,6),(71135,1),(71136,1),(71137,9),(71138,4),(71139,5),(71140,9),(71141,2),(71142,8),(71143,5),(71144,7),(71145,1),(71146,1),(71147,4),(71148,4),(71149,2),(71150,3),(71151,3),(71152,7),(71153,9),(71154,8),(71155,1),(71156,3),(71157,3),(71158,3),(71159,6),(71160,3),(71161,6),(71162,8),(71163,1),(71164,9),(71165,9),(71166,4),(71167,1),(71168,1),(71169,5),(71170,2),(71171,9),(71172,7),(71173,4),(71174,6),(71175,4),(71176,9),(71177,7),(71178,5),(71179,8),(71180,1),(71181,4),(71182,4),(71183,9),(71184,3),(71185,3),(71186,1),(71187,7),(71188,3),(71189,5),(71190,3),(71191,1),(71192,9),(71193,5),(71194,2),(71195,3),(71196,1),(71197,1),(71198,6),(71199,9),(71200,4),(71201,4),(71202,9),(71203,6),(71204,6),(71205,6),(71206,6),(71207,4),(71208,7),(71209,8),(71210,7),(71211,4),(71212,1),(71213,1),(71214,8),(71215,5),(71216,7),(71217,2),(71218,1),(71219,6),(71220,7),(71221,4),(71222,8),(71223,6),(71224,2),(71225,3),(71226,4),(71227,4),(71228,8),(71229,7),(71230,7),(71231,7),(71232,6),(71233,9),(71234,5),(71235,8),(71236,7),(71237,2),(71238,9),(71239,7),(71240,9),(71241,7),(71242,3),(71243,8),(71244,2),(71245,1),(71246,5),(71247,3),(71248,3),(71249,6),(71250,6),(71251,5),(71252,9),(71253,4),(71254,7),(71255,1),(71256,7),(71257,5),(71258,9),(71259,3),(71260,3),(71261,4),(71262,1),(71263,8),(71264,1),(71265,6),(71266,5),(71267,5),(71268,5),(71269,7),(71270,3),(71271,2),(71272,2),(71273,5),(71274,9),(71275,4),(71276,5),(71277,4),(71278,7),(71279,5),(71280,2),(71281,9),(71282,1),(71283,6),(71284,4),(71285,4),(71286,3),(71287,8),(71288,6),(71289,8),(71290,5),(71291,1),(71292,8),(71293,4),(71294,1),(71295,4),(71296,3),(71297,9),(71298,7),(71299,6),(71300,6),(71301,8),(71302,7),(71303,3),(71304,3),(71305,5),(71306,3),(71307,4),(71308,2),(71309,2),(71310,9),(71311,4),(71312,6),(71313,8),(71314,9),(71315,7),(71316,9),(71317,9),(71318,6),(71319,5),(71320,2),(71321,4),(71322,8),(71323,8),(71324,9),(71325,3),(71326,8),(71327,1),(71328,7),(71329,9),(71330,3),(71331,9),(71332,4),(71333,3),(71334,6),(71335,2),(71336,9),(71337,4),(71338,9),(71339,7),(71340,8),(71341,8),(71342,2),(71343,2),(71344,2),(71345,6),(71346,4),(71347,7),(71348,2),(71349,1),(71350,5),(71351,1),(71352,4),(71353,1),(71354,3),(71355,4),(71356,9),(71357,4),(71358,2),(71359,3),(71360,1),(71361,5),(71362,4),(71363,7),(71364,6),(71365,7),(71366,7),(71367,7),(71368,6),(71369,6),(71370,7),(71371,4),(71372,3),(71373,4),(71374,2),(71375,4),(71376,2),(71377,9),(71378,3),(71379,9),(71380,8),(71381,1),(71382,1),(71383,7),(71384,3),(71385,3),(71386,8),(71387,3),(71388,3),(71389,8),(71390,3),(71391,8),(71392,5),(71393,1),(71394,5),(71395,1),(71396,3),(71397,1),(71398,1),(71399,3),(71400,6),(71401,7),(71402,1),(71403,8),(71404,8),(71405,2),(71406,4),(71407,2),(71408,9),(71409,2),(71410,6),(71411,9),(71412,9),(71413,7),(71414,1),(71415,6),(71416,1),(71417,1),(71418,9),(71419,8),(71420,6),(71421,9),(71422,4),(71423,1),(71424,6),(71425,7),(71426,2),(71427,3),(71428,8),(71429,8),(71430,9),(71431,1),(71432,3),(71433,4),(71434,8),(71435,4),(71436,7),(71437,9),(71438,6),(71439,6),(71440,6),(71441,4),(71442,4),(71443,3),(71444,9),(71445,1),(71446,5),(71447,1),(71448,5),(71449,7),(71450,5),(71451,7),(71452,9),(71453,6),(71454,5),(71455,2),(71456,5),(71457,5),(71458,6),(71459,9),(71460,4),(71461,7),(71462,3),(71463,4),(71464,5),(71465,3),(71466,9),(71467,4),(71468,2),(71469,3),(71470,7),(71471,2),(71472,4),(71473,1),(71474,3),(71475,4),(71476,1),(71477,5),(71478,2),(71479,6),(71480,3),(71481,5),(71482,2),(71483,1),(71484,3),(71485,8),(71486,3),(71487,4),(71488,9),(71489,1),(71490,2),(71491,4),(71492,6),(71493,2),(71494,1),(71495,7),(71496,9),(71497,9),(71498,6),(71499,5),(71500,4),(71501,7),(71502,5),(71503,3),(71504,7),(71505,6),(71506,2),(71507,4),(71508,6),(71509,2),(71510,4),(71511,7),(71512,6),(71513,5),(71514,5),(71515,5),(71516,3),(71517,5),(71518,8),(71519,6),(71520,4),(71521,9),(71522,7),(71523,7),(71524,3),(71525,8),(71526,9),(71527,4),(71528,2),(71529,4),(71530,9),(71531,5),(71532,2),(71533,5),(71534,9),(71535,4),(71536,5),(71537,6),(71538,8),(71539,1),(71540,6),(71541,6),(71542,6),(71543,4),(71544,5),(71545,4),(71546,8),(71547,4),(71548,2),(71549,7),(71550,9),(71551,3),(71552,7),(71553,5),(71554,1),(71555,1),(71556,9),(71557,2),(71558,2),(71559,8),(71560,8),(71561,8),(71562,1),(71563,3),(71564,9),(71565,7),(71566,8),(71567,7),(71568,9),(71569,6),(71570,3),(71571,5),(71572,5),(71573,8),(71574,8),(71575,1),(71576,4),(71577,1),(71578,2),(71579,4),(71580,3),(71581,6),(71582,5),(71583,7),(71584,5),(71585,3),(71586,1),(71587,8),(71588,3),(71589,3),(71590,5),(71591,5),(71592,1),(71593,5),(71594,7),(71595,9),(71596,3),(71597,6),(71598,6),(71599,7),(71600,2),(71601,9),(71602,7),(71603,8),(71604,8),(71605,9),(71606,2),(71607,6),(71608,6),(71609,1),(71610,9),(71611,8),(71612,6),(71613,9),(71614,3),(71615,1),(71616,9),(71617,1),(71618,4),(71619,7),(71620,7),(71621,3),(71622,3),(71623,8),(71624,3),(71625,2),(71626,5),(71627,3),(71628,2),(71629,3),(71630,8),(71631,6),(71632,3),(71633,2),(71634,6),(71635,1),(71636,8),(71637,1),(71638,3),(71639,3),(71640,8),(71641,5),(71642,4),(71643,4),(71644,1),(71645,2),(71646,8),(71647,7),(71648,8),(71649,8),(71650,4),(71651,8),(71652,4),(71653,4),(71654,6),(71655,9),(71656,3),(71657,4),(71658,8),(71659,4),(71660,7),(71661,6),(71662,5),(71663,3),(71664,6),(71665,8),(71666,2),(71667,6),(71668,1),(71669,6),(71670,3),(71671,7),(71672,8),(71673,9),(71674,5),(71675,3),(71676,7),(71677,9),(71678,5),(71679,3),(71680,5),(71681,2),(71682,3),(71683,9),(71684,6),(71685,7),(71686,7),(71687,4),(71688,2),(71689,1),(71690,1),(71691,3),(71692,8),(71693,6),(71694,6),(71695,8),(71696,6),(71697,8),(71698,4),(71699,4),(71700,9),(71701,9),(71702,1),(71703,6),(71704,1),(71705,4),(71706,9),(71707,2),(71708,1),(71709,7),(71710,6),(71711,4),(71712,4),(71713,3),(71714,8),(71715,9),(71716,6),(71717,5),(71718,8),(71719,9),(71720,1),(71721,5),(71722,2),(71723,8),(71724,5),(71725,7),(71726,6),(71727,7),(71728,6),(71729,2),(71730,5),(71731,5),(71732,1),(71733,4),(71734,7),(71735,4),(71736,1),(71737,3),(71738,5),(71739,8),(71740,3),(71741,4),(71742,9),(71743,8),(71744,6),(71745,3),(71746,6),(71747,3),(71748,2),(71749,7),(71750,4),(71751,3),(71752,1),(71753,4),(71754,3),(71755,4),(71756,5),(71757,2),(71758,3),(71759,8),(71760,7),(71761,6),(71762,1),(71763,2),(71764,7),(71765,7),(71766,8),(71767,8),(71768,6),(71769,4),(71770,6),(71771,6),(71772,4),(71773,1),(71774,8),(71775,5),(71776,7),(71777,4),(71778,1),(71779,8),(71780,1),(71781,4),(71782,3),(71783,5),(71784,3),(71785,8),(71786,6),(71787,8),(71788,8),(71789,2),(71790,2),(71791,5),(71792,9),(71793,9),(71794,4),(71795,6),(71796,7),(71797,3),(71798,3),(71799,1),(71800,2),(71801,4),(71802,5),(71803,9),(71804,1),(71805,3),(71806,3),(71807,9),(71808,7),(71809,7),(71810,2),(71811,9),(71812,6),(71813,3),(71814,3),(71815,2),(71816,6),(71817,7),(71818,3),(71819,5),(71820,3),(71821,2),(71822,3),(71823,3),(71824,2),(71825,1),(71826,6),(71827,4),(71828,9),(71829,8),(71830,7),(71831,1),(71832,8),(71833,3),(71834,5),(71835,6),(71836,2),(71837,1),(71838,9),(71839,1),(71840,6),(71841,8),(71842,2),(71843,8),(71844,4),(71845,8),(71846,5),(71847,9),(71848,5),(71849,7),(71850,3),(71851,1),(71852,8),(71853,9),(71854,4),(71855,3),(71856,8),(71857,1),(71858,1),(71859,6),(71860,4),(71861,9),(71862,6),(71863,2),(71864,8),(71865,3),(71866,5),(71867,5),(71868,1),(71869,2),(71870,9),(71871,7),(71872,9),(71873,7),(71874,2),(71875,4),(71876,4),(71877,4),(71878,1),(71879,7),(71880,1),(71881,7),(71882,3),(71883,1),(71884,1),(71885,9),(71886,8),(71887,2),(71888,4),(71889,8),(71890,4),(71891,4),(71892,6),(71893,1),(71894,9),(71895,4),(71896,1),(71897,3),(71898,4),(71899,8),(71900,5),(71901,2),(71902,1),(71903,6),(71904,1),(71905,5),(71906,2),(71907,3),(71908,7),(71909,5),(71910,2),(71911,9),(71912,9),(71913,4),(71914,6),(71915,7),(71916,8),(71917,4),(71918,9),(71919,9),(71920,5),(71921,4),(71922,3),(71923,2),(71924,1),(71925,7),(71926,3),(71927,8),(71928,3),(71929,6),(71930,3),(71931,9),(71932,9),(71933,2),(71934,7),(71935,1),(71936,1),(71937,2),(71938,7),(71939,7),(71940,3),(71941,5),(71942,9),(71943,9),(71944,3),(71945,9),(71946,6),(71947,5),(71948,3),(71949,5),(71950,2),(71951,1),(71952,2),(71953,3),(71954,4),(71955,2),(71956,3),(71957,3),(71958,9),(71959,9),(71960,5),(71961,6),(71962,6),(71963,2),(71964,1),(71965,2),(71966,4),(71967,3),(71968,2),(71969,3),(71970,5),(71971,1),(71972,8),(71973,3),(71974,8),(71975,4),(71976,1),(71977,9),(71978,4),(71979,9),(71980,9),(71981,6),(71982,8),(71983,7),(71984,5),(71985,4),(71986,3),(71987,1),(71988,3),(71989,8),(71990,8),(71991,2),(71992,4),(71993,2),(71994,1),(71995,6),(71996,9),(71997,8),(71998,5),(71999,3),(72000,6),(72001,5),(72002,9),(72003,7),(72004,9),(72005,6),(72006,7),(72007,9),(72008,7),(72009,5),(72010,6),(72011,7),(72012,7),(72013,2),(72014,8),(72015,3),(72016,5),(72017,1),(72018,2),(72019,4),(72020,1),(72021,8),(72022,7),(72023,5),(72024,7),(72025,1),(72026,1),(72027,9),(72028,8),(72029,6),(72030,6),(72031,3),(72032,1),(72033,2),(72034,2),(72035,6),(72036,3),(72037,1),(72038,4),(72039,6),(72040,6),(72041,3),(72042,8),(72043,2),(72044,3),(72045,8),(72046,9),(72047,6),(72048,3),(72049,9),(72050,2),(72051,4),(72052,4),(72053,2),(72054,3),(72055,7),(72056,9),(72057,3),(72058,9),(72059,7),(72060,9),(72061,9),(72062,4),(72063,8),(72064,8),(72065,5),(72066,5),(72067,6),(72068,8),(72069,7),(72070,3),(72071,6),(72072,2),(72073,1),(72074,3),(72075,9),(72076,4),(72077,2),(72078,8),(72079,1),(72080,1),(72081,4),(72082,3),(72083,3),(72084,3),(72085,5),(72086,9),(72087,4),(72088,8),(72089,8),(72090,8),(72091,3),(72092,8),(72093,6),(72094,9),(72095,5),(72096,7),(72097,1),(72098,1),(72099,5),(72100,9),(72101,5),(72102,1),(72103,4),(72104,6),(72105,6),(72106,9),(72107,8),(72108,9),(72109,1),(72110,6),(72111,9),(72112,9),(72113,2),(72114,2),(72115,8),(72116,3),(72117,7),(72118,9),(72119,9),(72120,7),(72121,7),(72122,4),(72123,4),(72124,4),(72125,2),(72126,3),(72127,9),(72128,6),(72129,4),(72130,6),(72131,7),(72132,5),(72133,8),(72134,5),(72135,8),(72136,9),(72137,4),(72138,6),(72139,9),(72140,1),(72141,2),(72142,5),(72143,4),(72144,8),(72145,4),(72146,4),(72147,6),(72148,9),(72149,6),(72150,2),(72151,2),(72152,1),(72153,5),(72154,9),(72155,9),(72156,8),(72157,7),(72158,3),(72159,2),(72160,1),(72161,2),(72162,3),(72163,9),(72164,6),(72165,2),(72166,2),(72167,1),(72168,4),(72169,5),(72170,5),(72171,9),(72172,6),(72173,7),(72174,2),(72175,5),(72176,7),(72177,4),(72178,7),(72179,9),(72180,6),(72181,1),(72182,9),(72183,7),(72184,7),(72185,2),(72186,4),(72187,4),(72188,5),(72189,8),(72190,7),(72191,8),(72192,5),(72193,2),(72194,9),(72195,6),(72196,1),(72197,7),(72198,5),(72199,4),(72200,3),(72201,5),(72202,3),(72203,4),(72204,1),(72205,5),(72206,6),(72207,5),(72208,7),(72209,5),(72210,9),(72211,9),(72212,1),(72213,1),(72214,7),(72215,8),(72216,6),(72217,6),(72218,9),(72219,8),(72220,5),(72221,2),(72222,5),(72223,3),(72224,1),(72225,1),(72226,4),(72227,3),(72228,5),(72229,2),(72230,2),(72231,8),(72232,6),(72233,8),(72234,4),(72235,3),(72236,2),(72237,7),(72238,6),(72239,8),(72240,5),(72241,2),(72242,9),(72243,1),(72244,3),(72245,3),(72246,2),(72247,1),(72248,4),(72249,6),(72250,2),(72251,5),(72252,2),(72253,1),(72254,4),(72255,6),(72256,9),(72257,4),(72258,6),(72259,5),(72260,7),(72261,5),(72262,5),(72263,4),(72264,7),(72265,9),(72266,9),(72267,3),(72268,4),(72269,4),(72270,8),(72271,2),(72272,3),(72273,8),(72274,9),(72275,7),(72276,9),(72277,5),(72278,5),(72279,4),(72280,9),(72281,1),(72282,7),(72283,8),(72284,3),(72285,4),(72286,3),(72287,4),(72288,6),(72289,2),(72290,8),(72291,7),(72292,8),(72293,3),(72294,9),(72295,4),(72296,1),(72297,2),(72298,1),(72299,2),(72300,1),(72301,4),(72302,2),(72303,5),(72304,3),(72305,9),(72306,2),(72307,9),(72308,1),(72309,5),(72310,4),(72311,2),(72312,4),(72313,1),(72314,9),(72315,7),(72316,2),(72317,8),(72318,6),(72319,1),(72320,5),(72321,5),(72322,9),(72323,2),(72324,4),(72325,1),(72326,7),(72327,3),(72328,5),(72329,8),(72330,5),(72331,4),(72332,8),(72333,5),(72334,8),(72335,5),(72336,9),(72337,2),(72338,5),(72339,8),(72340,7),(72341,2),(72342,9),(72343,2),(72344,8),(72345,6),(72346,4),(72347,4),(72348,4),(72349,2),(72350,3),(72351,5),(72352,9),(72353,8),(72354,7),(72355,8),(72356,3),(72357,4),(72358,2),(72359,2),(72360,2),(72361,8),(72362,3),(72363,9),(72364,7),(72365,3),(72366,8),(72367,7),(72368,8),(72369,2),(72370,2),(72371,7),(72372,2),(72373,8),(72374,3),(72375,3),(72376,5),(72377,3),(72378,7),(72379,6),(72380,1),(72381,1),(72382,8),(72383,8),(72384,6),(72385,5),(72386,3),(72387,5),(72388,6),(72389,9),(72390,2),(72391,2),(72392,8),(72393,1),(72394,4),(72395,7),(72396,1),(72397,6),(72398,4),(72399,7),(72400,1),(72401,1),(72402,9),(72403,6),(72404,5),(72405,4),(72406,6),(72407,2),(72408,7),(72409,8),(72410,8),(72411,8),(72412,1),(72413,1),(72414,7),(72415,6),(72416,9),(72417,3),(72418,2),(72419,1),(72420,9),(72421,8),(72422,7),(72423,8),(72424,5),(72425,7),(72426,3),(72427,8),(72428,7),(72429,3),(72430,6),(72431,7),(72432,5),(72433,6),(72434,7),(72435,2),(72436,3),(72437,4),(72438,6),(72439,9),(72440,1),(72441,4),(72442,1),(72443,4),(72444,9),(72445,3),(72446,5),(72447,2),(72448,2),(72449,4),(72450,2),(72451,1),(72452,8),(72453,4),(72454,2),(72455,9),(72456,6),(72457,8),(72458,3),(72459,5),(72460,6),(72461,6),(72462,3),(72463,2),(72464,7),(72465,7),(72466,4),(72467,2),(72468,1),(72469,2),(72470,8),(72471,4),(72472,1),(72473,3),(72474,1),(72475,2),(72476,3),(72477,4),(72478,3),(72479,7),(72480,4),(72481,5),(72482,1),(72483,4),(72484,5),(72485,3),(72486,6),(72487,7),(72488,7),(72489,5),(72490,3),(72491,9),(72492,4),(72493,6),(72494,5),(72495,2),(72496,4),(72497,5),(72498,7),(72499,5),(72500,8),(72501,4),(72502,8),(72503,7),(72504,2),(72505,3),(72506,8),(72507,5),(72508,8),(72509,5),(72510,6),(72511,3),(72512,6),(72513,5),(72514,9),(72515,3),(72516,3),(72517,5),(72518,7),(72519,9),(72520,1),(72521,5),(72522,1),(72523,9),(72524,8),(72525,9),(72526,2),(72527,2),(72528,9),(72529,3),(72530,2),(72531,1),(72532,6),(72533,5),(72534,4),(72535,9),(72536,7),(72537,1),(72538,4),(72539,6),(72540,1),(72541,4),(72542,5),(72543,5),(72544,3),(72545,9),(72546,5),(72547,2),(72548,7),(72549,5),(72550,7),(72551,6),(72552,8),(72553,7),(72554,3),(72555,8),(72556,7),(72557,1),(72558,3),(72559,8),(72560,4),(72561,5),(72562,2),(72563,1),(72564,6),(72565,8),(72566,2),(72567,7),(72568,6),(72569,3),(72570,9),(72571,3),(72572,4),(72573,3),(72574,6),(72575,4),(72576,6),(72577,6),(72578,7),(72579,7),(72580,1),(72581,9),(72582,6),(72583,1),(72584,5),(72585,9),(72586,1),(72587,9),(72588,4),(72589,5),(72590,8),(72591,1),(72592,7),(72593,4),(72594,3),(72595,5),(72596,6),(72597,6),(72598,2),(72599,4),(72600,7),(72601,2),(72602,9),(72603,7),(72604,2),(72605,4),(72606,6),(72607,2),(72608,6),(72609,6),(72610,7),(72611,4),(72612,2),(72613,7),(72614,7),(72615,6),(72616,8),(72617,5),(72618,8),(72619,6),(72620,7),(72621,3),(72622,3),(72623,7),(72624,5),(72625,5),(72626,4),(72627,8),(72628,2),(72629,7),(72630,9),(72631,2),(72632,5),(72633,9),(72634,9),(72635,6),(72636,2),(72637,5),(72638,8),(72639,2),(72640,6),(72641,5),(72642,8),(72643,6),(72644,7),(72645,8),(72646,8),(72647,2),(72648,8),(72649,9),(72650,3),(72651,3),(72652,6),(72653,9),(72654,9),(72655,8),(72656,2),(72657,7),(72658,4),(72659,7),(72660,9),(72661,4),(72662,8),(72663,7),(72664,2),(72665,6),(72666,3),(72667,9),(72668,9),(72669,5),(72670,2),(72671,2),(72672,1),(72673,9),(72674,9),(72675,4),(72676,2),(72677,8),(72678,1),(72679,9),(72680,2),(72681,6),(72682,6),(72683,7),(72684,4),(72685,7),(72686,8),(72687,3),(72688,8),(72689,3),(72690,3),(72691,1),(72692,1),(72693,1),(72694,2),(72695,9),(72696,7),(72697,3),(72698,2),(72699,4),(72700,8),(72701,5),(72702,7),(72703,7),(72704,4),(72705,3),(72706,2),(72707,8),(72708,2),(72709,9),(72710,5),(72711,1),(72712,6),(72713,5),(72714,9),(72715,1),(72716,7),(72717,8),(72718,5),(72719,8),(72720,4),(72721,1),(72722,6),(72723,2),(72724,5),(72725,4),(72726,4),(72727,1),(72728,6),(72729,7),(72730,3),(72731,9),(72732,4),(72733,2),(72734,9),(72735,2),(72736,8),(72737,8),(72738,2),(72739,3),(72740,3),(72741,3),(72742,3),(72743,8),(72744,4),(72745,3),(72746,6),(72747,7),(72748,1),(72749,3),(72750,4),(72751,1),(72752,9),(72753,6),(72754,8),(72755,8),(72756,5),(72757,1),(72758,9),(72759,8),(72760,9),(72761,7),(72762,8),(72763,1),(72764,8),(72765,8),(72766,8),(72767,5),(72768,7),(72769,8),(72770,4),(72771,6),(72772,6),(72773,9),(72774,3),(72775,3),(72776,1),(72777,5),(72778,3),(72779,1),(72780,5),(72781,6),(72782,1),(72783,5),(72784,2),(72785,2),(72786,5),(72787,9),(72788,3),(72789,6),(72790,1),(72791,1),(72792,1),(72793,6),(72794,4),(72795,4),(72796,4),(72797,9),(72798,8),(72799,5),(72800,9),(72801,1),(72802,9),(72803,7),(72804,4),(72805,1),(72806,2),(72807,7),(72808,9),(72809,2),(72810,9),(72811,4),(72812,3),(72813,9),(72814,8),(72815,8),(72816,9),(72817,6),(72818,2),(72819,6),(72820,6),(72821,7),(72822,9),(72823,9),(72824,7),(72825,3),(72826,9),(72827,4),(72828,8),(72829,2),(72830,6),(72831,2),(72832,7),(72833,8),(72834,1),(72835,1),(72836,7),(72837,3),(72838,7),(72839,4),(72840,4),(72841,5),(72842,2),(72843,9),(72844,8),(72845,1),(72846,7),(72847,6),(72848,2),(72849,6),(72850,7),(72851,3),(72852,9),(72853,4),(72854,6),(72855,6),(72856,1),(72857,3),(72858,5),(72859,3),(72860,9),(72861,4),(72862,6),(72863,2),(72864,5),(72865,5),(72866,2),(72867,8),(72868,2),(72869,8),(72870,9),(72871,1),(72872,8),(72873,2),(72874,1),(72875,4),(72876,6),(72877,6),(72878,3),(72879,3),(72880,6),(72881,8),(72882,8),(72883,7),(72884,1),(72885,2),(72886,2),(72887,1),(72888,8),(72889,7),(72890,5),(72891,9),(72892,8),(72893,3),(72894,1),(72895,8),(72896,5),(72897,2),(72898,4),(72899,5),(72900,8),(72901,6),(72902,3),(72903,6),(72904,1),(72905,7),(72906,5),(72907,5),(72908,2),(72909,9),(72910,1),(72911,1),(72912,6),(72913,4),(72914,4),(72915,5),(72916,3),(72917,1),(72918,3),(72919,8),(72920,1),(72921,3),(72922,6),(72923,6),(72924,8),(72925,5),(72926,2),(72927,1),(72928,2),(72929,4),(72930,9),(72931,3),(72932,2),(72933,2),(72934,6),(72935,6),(72936,8),(72937,8),(72938,9),(72939,2),(72940,3),(72941,9),(72942,7),(72943,8),(72944,3),(72945,8),(72946,6),(72947,5),(72948,2),(72949,8),(72950,3),(72951,7),(72952,1),(72953,8),(72954,4),(72955,3),(72956,1),(72957,4),(72958,9),(72959,6),(72960,3),(72961,4),(72962,5),(72963,4),(72964,5),(72965,9),(72966,1),(72967,2),(72968,3),(72969,1),(72970,5),(72971,1),(72972,4),(72973,1),(72974,1),(72975,9),(72976,2),(72977,3),(72978,3),(72979,1),(72980,1),(72981,2),(72982,4),(72983,3),(72984,8),(72985,3),(72986,4),(72987,6),(72988,3),(72989,5),(72990,6),(72991,1),(72992,4),(72993,3),(72994,4),(72995,9),(72996,6),(72997,2),(72998,3),(72999,5),(73000,8),(73001,9),(73002,9),(73003,8),(73004,7),(73005,2),(73006,2),(73007,7),(73008,9),(73009,4),(73010,7),(73011,1),(73012,2),(73013,9),(73014,1),(73015,8),(73016,9),(73017,1),(73018,9),(73019,2),(73020,7),(73021,4),(73022,3),(73023,5),(73024,4),(73025,6),(73026,3),(73027,1),(73028,4),(73029,8),(73030,6),(73031,5),(73032,5),(73033,6),(73034,6),(73035,9),(73036,1),(73037,7),(73038,1),(73039,9),(73040,2),(73041,2),(73042,6),(73043,8),(73044,3),(73045,6),(73046,5),(73047,5),(73048,6),(73049,4),(73050,4),(73051,3),(73052,8),(73053,4),(73054,9),(73055,1),(73056,8),(73057,6),(73058,7),(73059,1),(73060,3),(73061,4),(73062,3),(73063,5),(73064,2),(73065,6),(73066,7),(73067,2),(73068,8),(73069,1),(73070,1),(73071,8),(73072,1),(73073,8),(73074,3),(73075,2),(73076,5),(73077,5),(73078,4),(73079,3),(73080,6),(73081,4),(73082,2),(73083,8),(73084,7),(73085,5),(73086,9),(73087,3),(73088,7),(73089,6),(73090,2),(73091,5),(73092,9),(73093,5),(73094,2),(73095,4),(73096,4),(73097,7),(73098,8),(73099,9),(73100,1),(73101,6),(73102,9),(73103,4),(73104,8),(73105,5),(73106,6),(73107,2),(73108,8),(73109,6),(73110,2),(73111,8),(73112,3),(73113,7),(73114,7),(73115,9),(73116,1),(73117,1),(73118,4),(73119,6),(73120,4),(73121,5),(73122,8),(73123,2),(73124,6),(73125,5),(73126,3),(73127,5),(73128,2),(73129,1),(73130,4),(73131,2),(73132,9),(73133,3),(73134,6),(73135,9),(73136,7),(73137,5),(73138,5),(73139,2),(73140,8),(73141,7),(73142,2),(73143,8),(73144,6),(73145,2),(73146,9),(73147,7),(73148,7),(73149,8),(73150,8),(73151,6),(73152,7),(73153,8),(73154,8),(73155,5),(73156,5),(73157,2),(73158,1),(73159,2),(73160,4),(73161,9),(73162,5),(73163,4),(73164,5),(73165,1),(73166,8),(73167,1),(73168,8),(73169,9),(73170,2),(73171,1),(73172,7),(73173,7),(73174,8),(73175,8),(73176,1),(73177,7),(73178,8),(73179,2),(73180,2),(73181,3),(73182,6),(73183,6),(73184,4),(73185,9),(73186,2),(73187,7),(73188,8),(73189,3),(73190,4),(73191,7),(73192,3),(73193,3),(73194,9),(73195,6),(73196,9),(73197,9),(73198,6),(73199,9),(73200,9),(73201,7),(73202,9),(73203,5),(73204,8),(73205,4),(73206,4),(73207,7),(73208,8),(73209,7),(73210,4),(73211,9),(73212,9),(73213,7),(73214,5),(73215,1),(73216,8),(73217,1),(73218,5),(73219,5),(73220,9),(73221,2),(73222,1),(73223,1),(73224,4),(73225,4),(73226,9),(73227,8),(73228,2),(73229,4),(73230,5),(73231,2),(73232,4),(73233,4),(73234,5),(73235,4),(73236,7),(73237,5),(73238,5),(73239,7),(73240,8),(73241,4),(73242,2),(73243,8),(73244,6),(73245,5),(73246,7),(73247,8),(73248,7),(73249,9),(73250,8),(73251,8),(73252,4),(73253,6),(73254,3),(73255,7),(73256,3),(73257,7),(73258,8),(73259,5),(73260,5),(73261,7),(73262,9),(73263,1),(73264,2),(73265,6),(73266,8),(73267,8),(73268,5),(73269,9),(73270,9),(73271,3),(73272,9),(73273,6),(73274,2),(73275,7),(73276,8),(73277,6),(73278,4),(73279,6),(73280,4),(73281,9),(73282,8),(73283,8),(73284,1),(73285,4),(73286,6),(73287,9),(73288,1),(73289,2),(73290,4),(73291,5),(73292,7),(73293,2),(73294,1),(73295,5),(73296,1),(73297,7),(73298,5),(73299,1),(73300,5),(73301,8),(73302,9),(73303,2),(73304,1),(73305,7),(73306,6),(73307,4),(73308,7),(73309,6),(73310,8),(73311,5),(73312,9),(73313,6),(73314,7),(73315,9),(73316,6),(73317,6),(73318,8),(73319,2),(73320,3),(73321,7),(73322,3),(73323,4),(73324,6),(73325,7),(73326,5),(73327,5),(73328,1),(73329,3),(73330,4),(73331,2),(73332,5),(73333,6),(73334,4),(73335,7),(73336,3),(73337,5),(73338,7),(73339,2),(73340,9),(73341,5),(73342,9),(73343,1),(73344,7),(73345,4),(73346,8),(73347,8),(73348,4),(73349,3),(73350,5),(73351,8),(73352,4),(73353,2),(73354,9),(73355,3),(73356,9),(73357,8),(73358,7),(73359,2),(73360,5),(73361,9),(73362,2),(73363,9),(73364,9),(73365,3),(73366,7),(73367,9),(73368,1),(73369,8),(73370,2),(73371,7),(73372,4),(73373,4),(73374,8),(73375,9),(73376,1),(73377,7),(73378,1),(73379,8),(73380,5),(73381,1),(73382,5),(73383,4),(73384,8),(73385,5),(73386,8),(73387,6),(73388,9),(73389,1),(73390,1),(73391,1),(73392,4),(73393,6),(73394,5),(73395,8),(73396,3),(73397,9),(73398,4),(73399,5),(73400,4),(73401,4),(73402,5),(73403,2),(73404,1),(73405,4),(73406,8),(73407,2),(73408,6),(73409,6),(73410,9),(73411,3),(73412,4),(73413,1),(73414,8),(73415,4),(73416,4),(73417,5),(73418,3),(73419,2),(73420,8),(73421,3),(73422,1),(73423,5),(73424,1),(73425,9),(73426,3),(73427,1),(73428,9),(73429,2),(73430,3),(73431,6),(73432,8),(73433,2),(73434,6),(73435,8),(73436,8),(73437,4),(73438,4),(73439,3),(73440,3),(73441,1),(73442,8),(73443,6),(73444,4),(73445,8),(73446,8),(73447,1),(73448,1),(73449,3),(73450,3),(73451,2),(73452,4),(73453,9),(73454,7),(73455,8),(73456,5),(73457,8),(73458,3),(73459,8),(73460,2),(73461,9),(73462,4),(73463,4),(73464,4),(73465,2),(73466,9),(73467,9),(73468,2),(73469,6),(73470,8),(73471,6),(73472,6),(73473,7),(73474,1),(73475,3),(73476,8),(73477,8),(73478,5),(73479,3),(73480,2),(73481,1),(73482,6),(73483,9),(73484,3),(73485,8),(73486,9),(73487,8),(73488,6),(73489,6),(73490,9),(73491,7),(73492,4),(73493,3),(73494,5),(73495,1),(73496,7),(73497,6),(73498,6),(73499,8),(73500,2),(73501,1),(73502,3),(73503,6),(73504,5),(73505,3),(73506,9),(73507,8),(73508,4),(73509,1),(73510,3),(73511,9),(73512,3),(73513,4),(73514,7),(73515,2),(73516,4),(73517,8),(73518,1),(73519,4),(73520,2),(73521,5),(73522,3),(73523,5),(73524,1),(73525,1),(73526,3),(73527,5),(73528,1),(73529,2),(73530,5),(73531,3),(73532,1),(73533,7),(73534,4),(73535,1),(73536,6),(73537,1),(73538,1),(73539,7),(73540,7),(73541,3),(73542,6),(73543,9),(73544,2),(73545,1),(73546,5),(73547,1),(73548,9),(73549,2),(73550,5),(73551,3),(73552,1),(73553,3),(73554,2),(73555,8),(73556,4),(73557,2),(73558,3),(73559,5),(73560,2),(73561,3),(73562,2),(73563,7),(73564,1),(73565,9),(73566,2),(73567,6),(73568,5),(73569,7),(73570,9),(73571,4),(73572,4),(73573,7),(73574,6),(73575,1),(73576,1),(73577,6),(73578,7),(73579,1),(73580,7),(73581,8),(73582,1),(73583,6),(73584,9),(73585,6),(73586,2),(73587,1),(73588,2),(73589,4),(73590,8),(73591,9),(73592,9),(73593,6),(73594,7),(73595,7),(73596,1),(73597,2),(73598,6),(73599,2),(73600,6),(73601,1),(73602,2),(73603,5),(73604,4),(73605,8),(73606,1),(73607,5),(73608,7),(73609,3),(73610,8),(73611,6),(73612,8),(73613,2),(73614,3),(73615,6),(73616,3),(73617,6),(73618,8),(73619,3),(73620,3),(73621,5),(73622,3),(73623,5),(73624,9),(73625,9),(73626,8),(73627,9),(73628,2),(73629,5),(73630,7),(73631,5),(73632,6),(73633,5),(73634,3),(73635,3),(73636,2),(73637,2),(73638,9),(73639,4),(73640,6),(73641,1),(73642,3),(73643,5),(73644,8),(73645,2),(73646,3),(73647,1),(73648,6),(73649,4),(73650,4),(73651,9),(73652,9),(73653,2),(73654,2),(73655,9),(73656,6),(73657,8),(73658,5),(73659,7),(73660,2),(73661,8),(73662,7),(73663,9),(73664,9),(73665,9),(73666,5),(73667,5),(73668,4),(73669,8),(73670,7),(73671,3),(73672,4),(73673,2),(73674,1),(73675,7),(73676,6),(73677,8),(73678,8),(73679,1),(73680,2),(73681,9),(73682,9),(73683,2),(73684,8),(73685,9),(73686,6),(73687,6),(73688,6),(73689,1),(73690,4),(73691,4),(73692,2),(73693,3),(73694,6),(73695,9),(73696,9),(73697,7),(73698,9),(73699,5),(73700,3),(73701,9),(73702,5),(73703,3),(73704,2),(73705,1),(73706,5),(73707,8),(73708,2),(73709,2),(73710,9),(73711,4),(73712,1),(73713,6),(73714,4),(73715,7),(73716,8),(73717,8),(73718,7),(73719,8),(73720,6),(73721,9),(73722,6),(73723,7),(73724,6),(73725,6),(73726,3),(73727,7),(73728,8),(73729,9),(73730,8),(73731,2),(73732,5),(73733,3),(73734,2),(73735,6),(73736,8),(73737,1),(73738,9),(73739,1),(73740,4),(73741,7),(73742,8),(73743,8),(73744,2),(73745,8),(73746,8),(73747,1),(73748,7),(73749,6),(73750,4),(73751,9),(73752,4),(73753,5),(73754,6),(73755,3),(73756,2),(73757,5),(73758,9),(73759,6),(73760,5),(73761,7),(73762,2),(73763,7),(73764,3),(73765,9),(73766,3),(73767,6),(73768,5),(73769,5),(73770,4),(73771,2),(73772,2),(73773,6),(73774,4),(73775,1),(73776,5),(73777,9),(73778,3),(73779,8),(73780,9),(73781,8),(73782,2),(73783,8),(73784,1),(73785,9),(73786,7),(73787,6),(73788,2),(73789,9),(73790,7),(73791,7),(73792,3),(73793,3),(73794,2),(73795,7),(73796,7),(73797,2),(73798,7),(73799,9),(73800,6),(73801,1),(73802,5),(73803,6),(73804,8),(73805,9),(73806,8),(73807,4),(73808,9),(73809,5),(73810,7),(73811,7),(73812,6),(73813,2),(73814,7),(73815,7),(73816,7),(73817,1),(73818,4),(73819,3),(73820,4),(73821,7),(73822,2),(73823,7),(73824,9),(73825,1),(73826,2),(73827,4),(73828,3),(73829,2),(73830,1),(73831,4),(73832,9),(73833,3),(73834,4),(73835,6),(73836,9),(73837,6),(73838,4),(73839,5),(73840,9),(73841,8),(73842,6),(73843,7),(73844,9),(73845,5),(73846,2),(73847,2),(73848,3),(73849,9),(73850,7),(73851,1),(73852,4),(73853,7),(73854,2),(73855,4),(73856,2),(73857,7),(73858,6),(73859,4),(73860,3),(73861,9),(73862,5),(73863,2),(73864,4),(73865,9),(73866,5),(73867,4),(73868,1),(73869,2),(73870,4),(73871,6),(73872,6),(73873,2),(73874,8),(73875,7),(73876,3),(73877,2),(73878,6),(73879,7),(73880,8),(73881,6),(73882,6),(73883,9),(73884,2),(73885,9),(73886,4),(73887,8),(73888,2),(73889,1),(73890,7),(73891,5),(73892,2),(73893,9),(73894,9),(73895,8),(73896,1),(73897,3),(73898,1),(73899,4),(73900,8),(73901,7),(73902,7),(73903,7),(73904,4),(73905,7),(73906,5),(73907,1),(73908,9),(73909,2),(73910,3),(73911,6),(73912,1),(73913,4),(73914,8),(73915,1),(73916,4),(73917,4),(73918,6),(73919,6),(73920,6),(73921,7),(73922,3),(73923,6),(73924,9),(73925,8),(73926,7),(73927,7),(73928,7),(73929,9),(73930,3),(73931,2),(73932,7),(73933,7),(73934,6),(73935,9),(73936,9),(73937,1),(73938,1),(73939,3),(73940,4),(73941,9),(73942,2),(73943,4),(73944,6),(73945,9),(73946,6),(73947,7),(73948,9),(73949,5),(73950,8),(73951,9),(73952,2),(73953,7),(73954,8),(73955,6),(73956,8),(73957,4),(73958,2),(73959,2),(73960,1),(73961,4),(73962,9),(73963,8),(73964,2),(73965,1),(73966,8),(73967,6),(73968,6),(73969,9),(73970,7),(73971,6),(73972,3),(73973,5),(73974,8),(73975,5),(73976,1),(73977,9),(73978,3),(73979,9),(73980,7),(73981,5),(73982,4),(73983,1),(73984,2),(73985,8),(73986,8),(73987,3),(73988,1),(73989,7),(73990,9),(73991,5),(73992,3),(73993,6),(73994,2),(73995,2),(73996,9),(73997,8),(73998,9),(73999,3),(74000,3),(74001,5),(74002,5),(74003,9),(74004,9),(74005,2),(74006,9),(74007,9),(74008,3),(74009,1),(74010,9),(74011,7),(74012,4),(74013,7),(74014,9),(74015,8),(74016,1),(74017,2),(74018,7),(74019,7),(74020,9),(74021,9),(74022,8),(74023,6),(74024,8),(74025,8),(74026,1),(74027,5),(74028,5),(74029,6),(74030,6),(74031,2),(74032,1),(74033,5),(74034,1),(74035,5),(74036,8),(74037,3),(74038,5),(74039,8),(74040,9),(74041,8),(74042,1),(74043,5),(74044,2),(74045,3),(74046,9),(74047,5),(74048,8),(74049,4),(74050,3),(74051,9),(74052,7),(74053,9),(74054,8),(74055,3),(74056,6),(74057,6),(74058,3),(74059,1),(74060,6),(74061,5),(74062,4),(74063,8),(74064,2),(74065,8),(74066,4),(74067,4),(74068,8),(74069,7),(74070,2),(74071,3),(74072,2),(74073,9),(74074,4),(74075,5),(74076,4),(74077,9),(74078,9),(74079,3),(74080,5),(74081,1),(74082,8),(74083,7),(74084,4),(74085,5),(74086,5),(74087,8),(74088,5),(74089,8),(74090,9),(74091,8),(74092,9),(74093,2),(74094,1),(74095,1),(74096,8),(74097,5),(74098,7),(74099,7),(74100,6),(74101,3),(74102,5),(74103,9),(74104,2),(74105,1),(74106,6),(74107,5),(74108,6),(74109,4),(74110,9),(74111,9),(74112,3),(74113,4),(74114,8),(74115,6),(74116,8),(74117,6),(74118,2),(74119,2),(74120,2),(74121,7),(74122,8),(74123,8),(74124,1),(74125,3),(74126,1),(74127,5),(74128,6),(74129,3),(74130,6),(74131,1),(74132,3),(74133,7),(74134,4),(74135,9),(74136,5),(74137,5),(74138,6),(74139,2),(74140,1),(74141,1),(74142,3),(74143,3),(74144,7),(74145,3),(74146,5),(74147,4),(74148,2),(74149,2),(74150,5),(74151,7),(74152,2),(74153,4),(74154,7),(74155,9),(74156,3),(74157,2),(74158,6),(74159,5),(74160,1),(74161,6),(74162,9),(74163,3),(74164,9),(74165,9),(74166,8),(74167,5),(74168,7),(74169,7),(74170,4),(74171,5),(74172,1),(74173,9),(74174,4),(74175,5),(74176,4),(74177,3),(74178,3),(74179,2),(74180,8),(74181,8),(74182,9),(74183,7),(74184,8),(74185,5),(74186,4),(74187,6),(74188,5),(74189,3),(74190,8),(74191,3),(74192,1),(74193,5),(74194,4),(74195,8),(74196,1),(74197,9),(74198,3),(74199,7),(74200,3),(74201,7),(74202,1),(74203,3),(74204,8),(74205,3),(74206,9),(74207,7),(74208,7),(74209,5),(74210,8),(74211,3),(74212,5),(74213,4),(74214,9),(74215,4),(74216,7),(74217,8),(74218,4),(74219,3),(74220,7),(74221,7),(74222,5),(74223,2),(74224,9),(74225,6),(74226,2),(74227,6),(74228,3),(74229,1),(74230,9),(74231,4),(74232,4),(74233,2),(74234,6),(74235,4),(74236,1),(74237,6),(74238,5),(74239,1),(74240,6),(74241,5),(74242,9),(74243,7),(74244,5),(74245,2),(74246,3),(74247,2),(74248,8),(74249,6),(74250,4),(74251,5),(74252,7),(74253,6),(74254,8),(74255,1),(74256,6),(74257,4),(74258,6),(74259,5),(74260,3),(74261,8),(74262,4),(74263,8),(74264,3),(74265,6),(74266,5),(74267,9),(74268,4),(74269,3),(74270,9),(74271,7),(74272,9),(74273,5),(74274,4),(74275,9),(74276,4),(74277,1),(74278,9),(74279,6),(74280,6),(74281,6),(74282,8),(74283,9),(74284,1),(74285,3),(74286,9),(74287,3),(74288,8),(74289,4),(74290,6),(74291,8),(74292,7),(74293,1),(74294,8),(74295,9),(74296,6),(74297,3),(74298,2),(74299,2),(74300,7),(74301,5),(74302,6),(74303,1),(74304,9),(74305,5),(74306,3),(74307,9),(74308,7),(74309,8),(74310,8),(74311,7),(74312,6),(74313,6),(74314,6),(74315,2),(74316,7),(74317,8),(74318,7),(74319,4),(74320,1),(74321,1),(74322,2),(74323,4),(74324,7),(74325,5),(74326,4),(74327,3),(74328,9),(74329,5),(74330,8),(74331,5),(74332,9),(74333,2),(74334,4),(74335,4),(74336,8),(74337,7),(74338,3),(74339,7),(74340,6),(74341,8),(74342,9),(74343,4),(74344,7),(74345,7),(74346,7),(74347,9),(74348,1),(74349,3),(74350,3),(74351,7),(74352,3),(74353,7),(74354,5),(74355,6),(74356,7),(74357,6),(74358,3),(74359,3),(74360,3),(74361,9),(74362,4),(74363,5),(74364,1),(74365,9),(74366,2),(74367,3),(74368,1),(74369,9),(74370,9),(74371,7),(74372,8),(74373,3),(74374,1),(74375,3),(74376,5),(74377,5),(74378,5),(74379,5),(74380,7),(74381,2),(74382,1),(74383,5),(74384,5),(74385,3),(74386,7),(74387,3),(74388,4),(74389,2),(74390,4),(74391,4),(74392,8),(74393,3),(74394,1),(74395,9),(74396,5),(74397,4),(74398,5),(74399,4),(74400,9),(74401,8),(74402,9),(74403,7),(74404,9),(74405,1),(74406,4),(74407,3),(74408,1),(74409,5),(74410,9),(74411,3),(74412,2),(74413,8),(74414,9),(74415,2),(74416,8),(74417,4),(74418,9),(74419,2),(74420,8),(74421,9),(74422,4),(74423,7),(74424,5),(74425,8),(74426,3),(74427,9),(74428,9),(74429,5),(74430,1),(74431,9),(74432,1),(74433,9),(74434,7),(74435,1),(74436,4),(74437,7),(74438,4),(74439,2),(74440,9),(74441,5),(74442,4),(74443,6),(74444,2),(74445,9),(74446,6),(74447,2),(74448,3),(74449,3),(74450,7),(74451,9),(74452,7),(74453,8),(74454,7),(74455,7),(74456,8),(74457,2),(74458,1),(74459,4),(74460,6),(74461,8),(74462,7),(74463,6),(74464,3),(74465,4),(74466,9),(74467,2),(74468,2),(74469,4),(74470,5),(74471,1),(74472,5),(74473,4),(74474,9),(74475,7),(74476,6),(74477,2),(74478,4),(74479,4),(74480,1),(74481,4),(74482,8),(74483,9),(74484,4),(74485,9),(74486,1),(74487,8),(74488,9),(74489,9),(74490,7),(74491,2),(74492,5),(74493,4),(74494,8),(74495,4),(74496,2),(74497,7),(74498,9),(74499,4),(74500,3),(74501,4),(74502,4),(74503,8),(74504,6),(74505,5),(74506,4),(74507,9),(74508,3),(74509,6),(74510,4),(74511,8),(74512,3),(74513,1),(74514,1),(74515,1),(74516,7),(74517,1),(74518,9),(74519,2),(74520,7),(74521,8),(74522,4),(74523,4),(74524,5),(74525,1),(74526,7),(74527,3),(74528,9),(74529,9),(74530,7),(74531,5),(74532,9),(74533,2),(74534,8),(74535,6),(74536,6),(74537,8),(74538,2),(74539,5),(74540,9),(74541,3),(74542,4),(74543,4),(74544,3),(74545,1),(74546,3),(74547,1),(74548,3),(74549,8),(74550,1),(74551,1),(74552,7),(74553,8),(74554,7),(74555,3),(74556,7),(74557,8),(74558,1),(74559,7),(74560,1),(74561,7),(74562,7),(74563,3),(74564,6),(74565,5),(74566,1),(74567,3),(74568,8),(74569,1),(74570,5),(74571,8),(74572,5),(74573,4),(74574,2),(74575,3),(74576,9),(74577,3),(74578,4),(74579,5),(74580,3),(74581,5),(74582,3),(74583,3),(74584,7),(74585,8),(74586,7),(74587,8),(74588,4),(74589,7),(74590,6),(74591,5),(74592,8),(74593,5),(74594,3),(74595,6),(74596,8),(74597,9),(74598,5),(74599,6),(74600,5),(74601,7),(74602,3),(74603,8),(74604,1),(74605,2),(74606,3),(74607,7),(74608,5),(74609,3),(74610,9),(74611,9),(74612,7),(74613,5),(74614,8),(74615,6),(74616,2),(74617,9),(74618,8),(74619,8),(74620,6),(74621,6),(74622,1),(74623,5),(74624,7),(74625,8),(74626,4),(74627,3),(74628,3),(74629,4),(74630,1),(74631,1),(74632,7),(74633,8),(74634,6),(74635,7),(74636,7),(74637,2),(74638,9),(74639,7),(74640,5),(74641,5),(74642,4),(74643,6),(74644,3),(74645,4),(74646,8),(74647,6),(74648,2),(74649,9),(74650,3),(74651,6),(74652,2),(74653,8),(74654,7),(74655,4),(74656,6),(74657,8),(74658,9),(74659,3),(74660,1),(74661,9),(74662,7),(74663,5),(74664,5),(74665,9),(74666,1),(74667,5),(74668,5),(74669,1),(74670,2),(74671,5),(74672,6),(74673,1),(74674,8),(74675,1),(74676,4),(74677,7),(74678,5),(74679,4),(74680,1),(74681,9),(74682,6),(74683,2),(74684,4),(74685,9),(74686,5),(74687,8),(74688,3),(74689,7),(74690,2),(74691,2),(74692,8),(74693,7),(74694,4),(74695,1),(74696,9),(74697,1),(74698,3),(74699,4),(74700,9),(74701,3),(74702,2),(74703,7),(74704,8),(74705,7),(74706,4),(74707,1),(74708,9),(74709,1),(74710,9),(74711,5),(74712,3),(74713,5),(74714,8),(74715,7),(74716,9),(74717,2),(74718,7),(74719,1),(74720,6),(74721,2),(74722,9),(74723,3),(74724,1),(74725,9),(74726,2),(74727,3),(74728,3),(74729,5),(74730,1),(74731,4),(74732,4),(74733,5),(74734,1),(74735,7),(74736,9),(74737,8),(74738,5),(74739,2),(74740,3),(74741,5),(74742,9),(74743,5),(74744,6),(74745,8),(74746,8),(74747,8),(74748,9),(74749,9),(74750,4),(74751,3),(74752,2),(74753,6),(74754,7),(74755,9),(74756,8),(74757,5),(74758,6),(74759,1),(74760,5),(74761,4),(74762,5),(74763,1),(74764,8),(74765,2),(74766,2),(74767,2),(74768,6),(74769,5),(74770,5),(74771,5),(74772,7),(74773,1),(74774,9),(74775,5),(74776,1),(74777,3),(74778,3),(74779,5),(74780,7),(74781,1),(74782,3),(74783,9),(74784,2),(74785,1),(74786,3),(74787,1),(74788,1),(74789,3),(74790,7),(74791,3),(74792,8),(74793,5),(74794,7),(74795,3),(74796,7),(74797,7),(74798,8),(74799,6),(74800,2),(74801,3),(74802,1),(74803,8),(74804,5),(74805,5),(74806,7),(74807,1),(74808,3),(74809,6),(74810,4),(74811,4),(74812,2),(74813,9),(74814,1),(74815,7),(74816,1),(74817,7),(74818,6),(74819,4),(74820,4),(74821,8),(74822,9),(74823,3),(74824,1),(74825,6),(74826,6),(74827,3),(74828,1),(74829,6),(74830,2),(74831,5),(74832,7),(74833,1),(74834,8),(74835,6),(74836,5),(74837,2),(74838,6),(74839,3),(74840,7),(74841,1),(74842,9),(74843,9),(74844,2),(74845,7),(74846,9),(74847,5),(74848,1),(74849,7),(74850,1),(74851,4),(74852,3),(74853,9),(74854,8),(74855,1),(74856,4),(74857,2),(74858,1),(74859,9),(74860,5),(74861,6),(74862,1),(74863,7),(74864,3),(74865,9),(74866,4),(74867,4),(74868,3),(74869,9),(74870,6),(74871,1),(74872,3),(74873,4),(74874,1),(74875,1),(74876,7),(74877,4),(74878,4),(74879,5),(74880,9),(74881,5),(74882,2),(74883,1),(74884,3),(74885,4),(74886,2),(74887,4),(74888,4),(74889,4),(74890,8),(74891,4),(74892,6),(74893,2),(74894,8),(74895,5),(74896,4),(74897,8),(74898,5),(74899,7),(74900,2),(74901,9),(74902,7),(74903,8),(74904,5),(74905,6),(74906,4),(74907,5),(74908,7),(74909,6),(74910,1),(74911,5),(74912,2),(74913,3),(74914,6),(74915,9),(74916,5),(74917,2),(74918,9),(74919,5),(74920,9),(74921,3),(74922,5),(74923,3),(74924,2),(74925,6),(74926,7),(74927,3),(74928,2),(74929,8),(74930,3),(74931,6),(74932,5),(74933,4),(74934,8),(74935,7),(74936,2),(74937,9),(74938,3),(74939,1),(74940,2),(74941,5),(74942,6),(74943,6),(74944,9),(74945,7),(74946,5),(74947,1),(74948,3),(74949,4),(74950,1),(74951,6),(74952,9),(74953,1),(74954,9),(74955,6),(74956,1),(74957,2),(74958,5),(74959,7),(74960,2),(74961,8),(74962,3),(74963,7),(74964,9),(74965,5),(74966,7),(74967,5),(74968,5),(74969,5),(74970,4),(74971,3),(74972,5),(74973,4),(74974,8),(74975,2),(74976,2),(74977,7),(74978,8),(74979,8),(74980,6),(74981,7),(74982,2),(74983,1),(74984,1),(74985,1),(74986,5),(74987,7),(74988,1),(74989,2),(74990,7),(74991,2),(74992,5),(74993,7),(74994,5),(74995,7),(74996,1),(74997,2),(74998,1),(74999,4),(75000,9),(75001,3),(75002,3),(75003,1),(75004,6),(75005,6),(75006,1),(75007,8),(75008,2),(75009,3),(75010,7),(75011,8),(75012,3),(75013,8),(75014,8),(75015,8),(75016,4),(75017,9),(75018,4),(75019,7),(75020,2),(75021,8),(75022,4),(75023,9),(75024,8),(75025,5),(75026,7),(75027,3),(75028,4),(75029,5),(75030,2),(75031,8),(75032,7),(75033,3),(75034,8),(75035,3),(75036,3),(75037,3),(75038,7),(75039,1),(75040,2),(75041,4),(75042,6),(75043,8),(75044,7),(75045,4),(75046,4),(75047,8),(75048,6),(75049,8),(75050,3),(75051,8),(75052,5),(75053,9),(75054,3),(75055,9),(75056,7),(75057,1),(75058,3),(75059,8),(75060,5),(75061,7),(75062,5),(75063,3),(75064,2),(75065,1),(75066,7),(75067,4),(75068,3),(75069,8),(75070,8),(75071,5),(75072,6),(75073,8),(75074,8),(75075,8),(75076,7),(75077,6),(75078,1),(75079,3),(75080,9),(75081,7),(75082,6),(75083,4),(75084,2),(75085,2),(75086,4),(75087,4),(75088,8),(75089,4),(75090,1),(75091,2),(75092,1),(75093,7),(75094,6),(75095,1),(75096,8),(75097,7),(75098,2),(75099,3),(75100,1),(75101,7),(75102,3),(75103,5),(75104,3),(75105,5),(75106,9),(75107,9),(75108,2),(75109,4),(75110,1),(75111,6),(75112,2),(75113,2),(75114,9),(75115,7),(75116,6),(75117,7),(75118,4),(75119,8),(75120,7),(75121,8),(75122,7),(75123,4),(75124,4),(75125,7),(75126,7),(75127,8),(75128,2),(75129,7),(75130,4),(75131,4),(75132,2),(75133,3),(75134,3),(75135,3),(75136,9),(75137,3),(75138,9),(75139,5),(75140,7),(75141,2),(75142,1),(75143,4),(75144,9),(75145,7),(75146,5),(75147,6),(75148,4),(75149,2),(75150,9),(75151,6),(75152,6),(75153,8),(75154,1),(75155,1),(75156,6),(75157,7),(75158,4),(75159,2),(75160,5),(75161,5),(75162,5),(75163,4),(75164,4),(75165,1),(75166,5),(75167,6),(75168,8),(75169,3),(75170,2),(75171,3),(75172,5),(75173,9),(75174,5),(75175,9),(75176,9),(75177,9),(75178,5),(75179,8),(75180,7),(75181,5),(75182,5),(75183,1),(75184,6),(75185,7),(75186,1),(75187,8),(75188,9),(75189,5),(75190,4),(75191,3),(75192,7),(75193,9),(75194,2),(75195,7),(75196,8),(75197,1),(75198,4),(75199,4),(75200,6),(75201,3),(75202,3),(75203,2),(75204,2),(75205,1),(75206,4),(75207,3),(75208,3),(75209,3),(75210,7),(75211,2),(75212,6),(75213,3),(75214,6),(75215,6),(75216,1),(75217,3),(75218,1),(75219,2),(75220,1),(75221,7),(75222,6),(75223,2),(75224,2),(75225,6),(75226,5),(75227,2),(75228,5),(75229,1),(75230,3),(75231,9),(75232,7),(75233,2),(75234,4),(75235,2),(75236,5),(75237,4),(75238,7),(75239,7),(75240,8),(75241,8),(75242,6),(75243,6),(75244,3),(75245,2),(75246,4),(75247,6),(75248,7),(75249,6),(75250,9),(75251,1),(75252,4),(75253,1),(75254,1),(75255,7),(75256,5),(75257,7),(75258,9),(75259,3),(75260,2),(75261,3),(75262,3),(75263,1),(75264,8),(75265,9),(75266,3),(75267,5),(75268,8),(75269,9),(75270,9),(75271,8),(75272,7),(75273,2),(75274,6),(75275,9),(75276,9),(75277,3),(75278,1),(75279,7),(75280,5),(75281,3),(75282,6),(75283,8),(75284,8),(75285,8),(75286,8),(75287,2),(75288,1),(75289,2),(75290,7),(75291,3),(75292,5),(75293,1),(75294,3),(75295,5),(75296,3),(75297,7),(75298,1),(75299,1),(75300,6),(75301,1),(75302,8),(75303,6),(75304,7),(75305,8),(75306,3),(75307,5),(75308,2),(75309,8),(75310,5),(75311,4),(75312,8),(75313,9),(75314,4),(75315,9),(75316,7),(75317,4),(75318,6),(75319,6),(75320,5),(75321,9),(75322,6),(75323,7),(75324,9),(75325,9),(75326,9),(75327,9),(75328,7),(75329,9),(75330,8),(75331,5),(75332,4),(75333,6),(75334,3),(75335,6),(75336,7),(75337,6),(75338,4),(75339,4),(75340,7),(75341,5),(75342,6),(75343,2),(75344,9),(75345,2),(75346,5),(75347,3),(75348,1),(75349,7),(75350,2),(75351,1),(75352,3),(75353,5),(75354,3),(75355,6),(75356,3),(75357,2),(75358,3),(75359,8),(75360,6),(75361,6),(75362,7),(75363,6),(75364,1),(75365,6),(75366,2),(75367,2),(75368,6),(75369,1),(75370,4),(75371,2),(75372,3),(75373,6),(75374,9),(75375,3),(75376,2),(75377,5),(75378,3),(75379,9),(75380,7),(75381,2),(75382,3),(75383,3),(75384,8),(75385,5),(75386,6),(75387,3),(75388,1),(75389,3),(75390,9),(75391,3),(75392,1),(75393,6),(75394,2),(75395,3),(75396,4),(75397,9),(75398,4),(75399,7),(75400,2),(75401,4),(75402,9),(75403,9),(75404,5),(75405,5),(75406,9),(75407,5),(75408,8),(75409,1),(75410,8),(75411,9),(75412,7),(75413,1),(75414,6),(75415,7),(75416,5),(75417,2),(75418,5),(75419,1),(75420,8),(75421,8),(75422,9),(75423,4),(75424,6),(75425,2),(75426,1),(75427,8),(75428,1),(75429,4),(75430,2),(75431,5),(75432,4),(75433,8),(75434,7),(75435,2),(75436,3),(75437,1),(75438,3),(75439,6),(75440,1),(75441,4),(75442,8),(75443,5),(75444,8),(75445,1),(75446,5),(75447,1),(75448,4),(75449,4),(75450,3),(75451,1),(75452,8),(75453,7),(75454,2),(75455,1),(75456,8),(75457,4),(75458,5),(75459,9),(75460,2),(75461,3),(75462,9),(75463,6),(75464,5),(75465,2),(75466,1),(75467,9),(75468,1),(75469,5),(75470,4),(75471,5),(75472,1),(75473,1),(75474,7),(75475,8),(75476,2),(75477,4),(75478,9),(75479,3),(75480,7),(75481,8),(75482,8),(75483,4),(75484,6),(75485,9),(75486,2),(75487,5),(75488,1),(75489,1),(75490,5),(75491,3),(75492,9),(75493,3),(75494,6),(75495,3),(75496,8),(75497,3),(75498,9),(75499,9),(75500,7),(75501,7),(75502,2),(75503,2),(75504,1),(75505,6),(75506,1),(75507,8),(75508,8),(75509,3),(75510,8),(75511,7),(75512,6),(75513,5),(75514,5),(75515,6),(75516,6),(75517,7),(75518,9),(75519,3),(75520,3),(75521,3),(75522,2),(75523,6),(75524,2),(75525,7),(75526,9),(75527,8),(75528,5),(75529,6),(75530,8),(75531,6),(75532,8),(75533,7),(75534,3),(75535,3),(75536,9),(75537,1),(75538,7),(75539,3),(75540,7),(75541,3),(75542,3),(75543,2),(75544,8),(75545,3),(75546,1),(75547,6),(75548,5),(75549,2),(75550,8),(75551,3),(75552,9),(75553,3),(75554,9),(75555,7),(75556,4),(75557,8),(75558,9),(75559,6),(75560,2),(75561,5),(75562,6),(75563,9),(75564,7),(75565,1),(75566,7),(75567,5),(75568,8),(75569,5),(75570,7),(75571,7),(75572,5),(75573,2),(75574,3),(75575,9),(75576,8),(75577,9),(75578,2),(75579,6),(75580,5),(75581,4),(75582,7),(75583,2),(75584,3),(75585,8),(75586,1),(75587,2),(75588,6),(75589,2),(75590,1),(75591,2),(75592,7),(75593,9),(75594,2),(75595,4),(75596,9),(75597,7),(75598,3),(75599,6),(75600,4),(75601,8),(75602,9),(75603,7),(75604,2),(75605,2),(75606,4),(75607,1),(75608,6),(75609,8),(75610,3),(75611,1),(75612,6),(75613,6),(75614,4),(75615,2),(75616,2),(75617,9),(75618,7),(75619,1),(75620,3),(75621,3),(75622,2),(75623,1),(75624,4),(75625,4),(75626,8),(75627,8),(75628,1),(75629,1),(75630,8),(75631,5),(75632,7),(75633,5),(75634,9),(75635,2),(75636,5),(75637,4),(75638,5),(75639,5),(75640,4),(75641,8),(75642,4),(75643,2),(75644,1),(75645,9),(75646,9),(75647,6),(75648,6),(75649,4),(75650,2),(75651,3),(75652,7),(75653,2),(75654,4),(75655,2),(75656,3),(75657,8),(75658,7),(75659,4),(75660,3),(75661,7),(75662,9),(75663,3),(75664,6),(75665,9),(75666,3),(75667,8),(75668,1),(75669,6),(75670,3),(75671,5),(75672,8),(75673,6),(75674,9),(75675,9),(75676,9),(75677,2),(75678,9),(75679,3),(75680,7),(75681,5),(75682,3),(75683,4),(75684,2),(75685,1),(75686,1),(75687,6),(75688,7),(75689,6),(75690,1),(75691,5),(75692,2),(75693,5),(75694,3),(75695,9),(75696,7),(75697,2),(75698,4),(75699,5),(75700,7),(75701,2),(75702,7),(75703,4),(75704,8),(75705,5),(75706,2),(75707,2),(75708,2),(75709,8),(75710,9),(75711,6),(75712,9),(75713,6),(75714,7),(75715,9),(75716,6),(75717,4),(75718,5),(75719,3),(75720,2),(75721,8),(75722,9),(75723,5),(75724,6),(75725,6),(75726,7),(75727,9),(75728,4),(75729,1),(75730,1),(75731,6),(75732,2),(75733,3),(75734,5),(75735,9),(75736,4),(75737,9),(75738,3),(75739,9),(75740,1),(75741,5),(75742,7),(75743,1),(75744,2),(75745,1),(75746,8),(75747,5),(75748,8),(75749,3),(75750,8),(75751,1),(75752,6),(75753,4),(75754,3),(75755,9),(75756,3),(75757,8),(75758,6),(75759,4),(75760,8),(75761,8),(75762,2),(75763,6),(75764,1),(75765,4),(75766,2),(75767,4),(75768,3),(75769,8),(75770,9),(75771,2),(75772,3),(75773,3),(75774,9),(75775,8),(75776,3),(75777,4),(75778,5),(75779,7),(75780,3),(75781,9),(75782,7),(75783,3),(75784,5),(75785,3),(75786,5),(75787,3),(75788,3),(75789,4),(75790,7),(75791,4),(75792,3),(75793,6),(75794,2),(75795,9),(75796,9),(75797,1),(75798,1),(75799,6),(75800,4),(75801,3),(75802,7),(75803,2),(75804,6),(75805,4),(75806,7),(75807,7),(75808,5),(75809,5),(75810,9),(75811,8),(75812,7),(75813,8),(75814,3),(75815,4),(75816,5),(75817,5),(75818,9),(75819,1),(75820,8),(75821,4),(75822,1),(75823,7),(75824,8),(75825,1),(75826,2),(75827,3),(75828,4),(75829,6),(75830,4),(75831,2),(75832,6),(75833,2),(75834,8),(75835,8),(75836,6),(75837,1),(75838,8),(75839,4),(75840,5),(75841,5),(75842,8),(75843,2),(75844,6),(75845,8),(75846,1),(75847,9),(75848,4),(75849,7),(75850,2),(75851,3),(75852,3),(75853,5),(75854,8),(75855,8),(75856,6),(75857,5),(75858,8),(75859,4),(75860,3),(75861,8),(75862,6),(75863,6),(75864,3),(75865,4),(75866,4),(75867,1),(75868,5),(75869,4),(75870,6),(75871,7),(75872,9),(75873,8),(75874,5),(75875,3),(75876,8),(75877,8),(75878,5),(75879,9),(75880,2),(75881,3),(75882,5),(75883,1),(75884,5),(75885,5),(75886,8),(75887,9),(75888,5),(75889,6),(75890,2),(75891,6),(75892,7),(75893,9),(75894,9),(75895,9),(75896,8),(75897,6),(75898,1),(75899,3),(75900,4),(75901,6),(75902,8),(75903,1),(75904,1),(75905,9),(75906,9),(75907,4),(75908,5),(75909,1),(75910,5),(75911,5),(75912,4),(75913,9),(75914,5),(75915,3),(75916,6),(75917,6),(75918,1),(75919,9),(75920,5),(75921,1),(75922,9),(75923,5),(75924,6),(75925,8),(75926,6),(75927,1),(75928,4),(75929,2),(75930,8),(75931,3),(75932,2),(75933,3),(75934,5),(75935,8),(75936,8),(75937,1),(75938,3),(75939,9),(75940,7),(75941,4),(75942,9),(75943,6),(75944,4),(75945,7),(75946,7),(75947,5),(75948,3),(75949,6),(75950,2),(75951,9),(75952,4),(75953,1),(75954,9),(75955,9),(75956,8),(75957,1),(75958,7),(75959,5),(75960,4),(75961,9),(75962,3),(75963,5),(75964,7),(75965,1),(75966,3),(75967,3),(75968,7),(75969,4),(75970,1),(75971,3),(75972,2),(75973,7),(75974,1),(75975,5),(75976,3),(75977,7),(75978,3),(75979,8),(75980,2),(75981,8),(75982,7),(75983,4),(75984,2),(75985,3),(75986,8),(75987,4),(75988,5),(75989,9),(75990,9),(75991,3),(75992,5),(75993,9),(75994,4),(75995,7),(75996,9),(75997,1),(75998,2),(75999,6),(76000,6),(76001,3),(76002,4),(76003,3),(76004,2),(76005,7),(76006,2),(76007,4),(76008,2),(76009,5),(76010,5),(76011,5),(76012,5),(76013,1),(76014,7),(76015,6),(76016,7),(76017,8),(76018,5),(76019,8),(76020,1),(76021,3),(76022,5),(76023,8),(76024,2),(76025,6),(76026,9),(76027,9),(76028,6),(76029,2),(76030,3),(76031,7),(76032,6),(76033,7),(76034,2),(76035,2),(76036,9),(76037,4),(76038,9),(76039,4),(76040,8),(76041,4),(76042,9),(76043,6),(76044,9),(76045,6),(76046,7),(76047,5),(76048,9),(76049,6),(76050,5),(76051,2),(76052,8),(76053,6),(76054,3),(76055,6),(76056,3),(76057,4),(76058,6),(76059,8),(76060,6),(76061,4),(76062,6),(76063,6),(76064,9),(76065,6),(76066,2),(76067,3),(76068,3),(76069,4),(76070,8),(76071,4),(76072,8),(76073,5),(76074,9),(76075,9),(76076,8),(76077,6),(76078,1),(76079,2),(76080,3),(76081,8),(76082,4),(76083,3),(76084,9),(76085,6),(76086,6),(76087,2),(76088,8),(76089,7),(76090,6),(76091,5),(76092,7),(76093,3),(76094,3),(76095,7),(76096,5),(76097,2),(76098,4),(76099,8),(76100,7),(76101,7),(76102,8),(76103,7),(76104,3),(76105,1),(76106,2),(76107,9),(76108,1),(76109,1),(76110,4),(76111,7),(76112,6),(76113,8),(76114,9),(76115,2),(76116,8),(76117,9),(76118,6),(76119,4),(76120,3),(76121,7),(76122,7),(76123,7),(76124,3),(76125,6),(76126,1),(76127,4),(76128,3),(76129,1),(76130,3),(76131,8),(76132,3),(76133,4),(76134,2),(76135,4),(76136,7),(76137,7),(76138,3),(76139,8),(76140,4),(76141,5),(76142,9),(76143,6),(76144,5),(76145,5),(76146,7),(76147,4),(76148,6),(76149,2),(76150,2),(76151,2),(76152,6),(76153,8),(76154,3),(76155,6),(76156,8),(76157,9),(76158,1),(76159,8),(76160,9),(76161,9),(76162,4),(76163,2),(76164,7),(76165,8),(76166,9),(76167,3),(76168,5),(76169,2),(76170,4),(76171,4),(76172,5),(76173,6),(76174,4),(76175,9),(76176,3),(76177,1),(76178,8),(76179,2),(76180,9),(76181,6),(76182,4),(76183,6),(76184,4),(76185,4),(76186,7),(76187,6),(76188,6),(76189,8),(76190,3),(76191,7),(76192,5),(76193,2),(76194,7),(76195,3),(76196,2),(76197,6),(76198,8),(76199,7),(76200,4),(76201,1),(76202,5),(76203,5),(76204,7),(76205,2),(76206,7),(76207,1),(76208,9),(76209,5),(76210,4),(76211,3),(76212,7),(76213,2),(76214,5),(76215,9),(76216,4),(76217,5),(76218,2),(76219,8),(76220,6),(76221,6),(76222,9),(76223,1),(76224,6),(76225,4),(76226,4),(76227,1),(76228,9),(76229,4),(76230,6),(76231,3),(76232,3),(76233,6),(76234,3),(76235,1),(76236,4),(76237,5),(76238,3),(76239,6),(76240,5),(76241,9),(76242,3),(76243,4),(76244,7),(76245,6),(76246,4),(76247,4),(76248,9),(76249,1),(76250,6),(76251,6),(76252,5),(76253,1),(76254,5),(76255,3),(76256,7),(76257,5),(76258,6),(76259,9),(76260,5),(76261,6),(76262,5),(76263,6),(76264,4),(76265,9),(76266,2),(76267,7),(76268,8),(76269,1),(76270,1),(76271,2),(76272,2),(76273,3),(76274,5),(76275,2),(76276,1),(76277,7),(76278,1),(76279,5),(76280,4),(76281,5),(76282,7),(76283,2),(76284,3),(76285,7),(76286,4),(76287,5),(76288,4),(76289,7),(76290,8),(76291,4),(76292,9),(76293,7),(76294,2),(76295,6),(76296,6),(76297,9),(76298,4),(76299,3),(76300,9),(76301,3),(76302,8),(76303,4),(76304,1),(76305,3),(76306,8),(76307,6),(76308,4),(76309,4),(76310,4),(76311,9),(76312,8),(76313,1),(76314,4),(76315,8),(76316,5),(76317,8),(76318,1),(76319,3),(76320,2),(76321,9),(76322,7),(76323,9),(76324,8),(76325,1),(76326,3),(76327,8),(76328,2),(76329,8),(76330,8),(76331,4),(76332,6),(76333,1),(76334,3),(76335,1),(76336,2),(76337,9),(76338,2),(76339,2),(76340,2),(76341,7),(76342,4),(76343,8),(76344,9),(76345,6),(76346,7),(76347,6),(76348,2),(76349,5),(76350,5),(76351,9),(76352,8),(76353,6),(76354,2),(76355,8),(76356,2),(76357,1),(76358,4),(76359,8),(76360,3),(76361,8),(76362,4),(76363,7),(76364,2),(76365,1),(76366,2),(76367,2),(76368,7),(76369,8),(76370,3),(76371,7),(76372,4),(76373,4),(76374,9),(76375,9),(76376,6),(76377,2),(76378,9),(76379,5),(76380,9),(76381,8),(76382,4),(76383,3),(76384,7),(76385,5),(76386,2),(76387,8),(76388,4),(76389,9),(76390,9),(76391,3),(76392,2),(76393,7),(76394,1),(76395,3),(76396,3),(76397,8),(76398,9),(76399,3),(76400,3),(76401,6),(76402,1),(76403,7),(76404,9),(76405,1),(76406,8),(76407,2),(76408,8),(76409,7),(76410,8),(76411,6),(76412,6),(76413,8),(76414,3),(76415,6),(76416,4),(76417,1),(76418,3),(76419,7),(76420,4),(76421,8),(76422,4),(76423,8),(76424,2),(76425,5),(76426,9),(76427,3),(76428,1),(76429,7),(76430,2),(76431,1),(76432,3),(76433,7),(76434,7),(76435,8),(76436,2),(76437,7),(76438,3),(76439,2),(76440,1),(76441,2),(76442,5),(76443,4),(76444,8),(76445,9),(76446,8),(76447,5),(76448,3),(76449,3),(76450,1),(76451,2),(76452,1),(76453,3),(76454,2),(76455,2),(76456,6),(76457,3),(76458,4),(76459,6),(76460,8),(76461,2),(76462,6),(76463,6),(76464,1),(76465,3),(76466,5),(76467,3),(76468,8),(76469,6),(76470,5),(76471,7),(76472,6),(76473,5),(76474,4),(76475,8),(76476,4),(76477,9),(76478,3),(76479,2),(76480,4),(76481,3),(76482,2),(76483,7),(76484,7),(76485,1),(76486,9),(76487,1),(76488,8),(76489,4),(76490,8),(76491,4),(76492,4),(76493,7),(76494,5),(76495,5),(76496,8),(76497,9),(76498,3),(76499,6),(76500,8),(76501,9),(76502,6),(76503,9),(76504,2),(76505,6),(76506,4),(76507,7),(76508,2),(76509,4),(76510,3),(76511,8),(76512,5),(76513,4),(76514,8),(76515,8),(76516,6),(76517,2),(76518,1),(76519,6),(76520,9),(76521,3),(76522,3),(76523,7),(76524,4),(76525,9),(76526,5),(76527,2),(76528,2),(76529,7),(76530,7),(76531,9),(76532,8),(76533,7),(76534,2),(76535,1),(76536,3),(76537,5),(76538,5),(76539,4),(76540,6),(76541,9),(76542,4),(76543,6),(76544,5),(76545,3),(76546,3),(76547,3),(76548,6),(76549,2),(76550,3),(76551,8),(76552,6),(76553,3),(76554,4),(76555,7),(76556,4),(76557,9),(76558,1),(76559,8),(76560,7),(76561,6),(76562,2),(76563,9),(76564,3),(76565,6),(76566,6),(76567,6),(76568,6),(76569,4),(76570,9),(76571,8),(76572,8),(76573,1),(76574,7),(76575,3),(76576,6),(76577,1),(76578,9),(76579,5),(76580,3),(76581,5),(76582,2),(76583,8),(76584,6),(76585,8),(76586,7),(76587,8),(76588,4),(76589,6),(76590,4),(76591,6),(76592,4),(76593,3),(76594,2),(76595,8),(76596,1),(76597,6),(76598,6),(76599,6),(76600,7),(76601,7),(76602,9),(76603,2),(76604,4),(76605,7),(76606,4),(76607,5),(76608,5),(76609,8),(76610,5),(76611,5),(76612,6),(76613,3),(76614,7),(76615,1),(76616,6),(76617,2),(76618,9),(76619,4),(76620,3),(76621,6),(76622,2),(76623,1),(76624,8),(76625,2),(76626,8),(76627,1),(76628,4),(76629,2),(76630,5),(76631,5),(76632,5),(76633,6),(76634,3),(76635,1),(76636,9),(76637,3),(76638,3),(76639,7),(76640,8),(76641,4),(76642,2),(76643,3),(76644,7),(76645,1),(76646,2),(76647,6),(76648,9),(76649,8),(76650,6),(76651,5),(76652,4),(76653,2),(76654,7),(76655,1),(76656,6),(76657,2),(76658,6),(76659,2),(76660,8),(76661,8),(76662,1),(76663,3),(76664,4),(76665,1),(76666,5),(76667,4),(76668,2),(76669,6),(76670,9),(76671,6),(76672,5),(76673,4),(76674,3),(76675,3),(76676,2),(76677,3),(76678,9),(76679,7),(76680,6),(76681,3),(76682,3),(76683,7),(76684,7),(76685,6),(76686,6),(76687,6),(76688,5),(76689,7),(76690,1),(76691,8),(76692,6),(76693,1),(76694,5),(76695,3),(76696,8),(76697,7),(76698,4),(76699,5),(76700,7),(76701,7),(76702,7),(76703,3),(76704,5),(76705,2),(76706,1),(76707,6),(76708,5),(76709,9),(76710,1),(76711,2),(76712,7),(76713,9),(76714,7),(76715,7),(76716,4),(76717,6),(76718,4),(76719,9),(76720,9),(76721,9),(76722,8),(76723,7),(76724,2),(76725,2),(76726,5),(76727,3),(76728,6),(76729,1),(76730,7),(76731,9),(76732,8),(76733,2),(76734,5),(76735,8),(76736,4),(76737,2),(76738,7),(76739,2),(76740,8),(76741,2),(76742,7),(76743,6),(76744,7),(76745,1),(76746,9),(76747,1),(76748,2),(76749,8),(76750,9),(76751,5),(76752,5),(76753,7),(76754,8),(76755,2),(76756,5),(76757,3),(76758,3),(76759,1),(76760,5),(76761,5),(76762,2),(76763,1),(76764,6),(76765,7),(76766,4),(76767,6),(76768,9),(76769,9),(76770,1),(76771,9),(76772,8),(76773,8),(76774,8),(76775,8),(76776,4),(76777,8),(76778,1),(76779,3),(76780,4),(76781,6),(76782,1),(76783,3),(76784,1),(76785,1),(76786,3),(76787,5),(76788,4),(76789,1),(76790,6),(76791,6),(76792,8),(76793,4),(76794,8),(76795,9),(76796,3),(76797,3),(76798,5),(76799,3),(76800,5),(76801,5),(76802,8),(76803,5),(76804,7),(76805,8),(76806,4),(76807,3),(76808,4),(76809,8),(76810,1),(76811,9),(76812,6),(76813,5),(76814,8),(76815,3),(76816,6),(76817,6),(76818,5),(76819,2),(76820,6),(76821,6),(76822,5),(76823,5),(76824,6),(76825,7),(76826,8),(76827,3),(76828,9),(76829,8),(76830,6),(76831,3),(76832,1),(76833,8),(76834,3),(76835,7),(76836,9),(76837,7),(76838,1),(76839,4),(76840,2),(76841,2),(76842,2),(76843,1),(76844,7),(76845,4),(76846,2),(76847,6),(76848,4),(76849,7),(76850,5),(76851,4),(76852,5),(76853,3),(76854,3),(76855,8),(76856,4),(76857,6),(76858,7),(76859,5),(76860,3),(76861,2),(76862,4),(76863,1),(76864,7),(76865,3),(76866,6),(76867,5),(76868,8),(76869,2),(76870,2),(76871,5),(76872,3),(76873,6),(76874,6),(76875,3),(76876,7),(76877,8),(76878,2),(76879,2),(76880,6),(76881,7),(76882,7),(76883,8),(76884,3),(76885,4),(76886,4),(76887,9),(76888,6),(76889,3),(76890,2),(76891,1),(76892,6),(76893,1),(76894,3),(76895,3),(76896,8),(76897,8),(76898,7),(76899,9),(76900,8),(76901,7),(76902,8),(76903,4),(76904,7),(76905,7),(76906,9),(76907,6),(76908,6),(76909,7),(76910,3),(76911,4),(76912,4),(76913,3),(76914,8),(76915,4),(76916,5),(76917,1),(76918,5),(76919,3),(76920,9),(76921,5),(76922,5),(76923,6),(76924,2),(76925,6),(76926,4),(76927,7),(76928,2),(76929,9),(76930,4),(76931,6),(76932,8),(76933,3),(76934,5),(76935,4),(76936,2),(76937,3),(76938,1),(76939,5),(76940,5),(76941,7),(76942,5),(76943,5),(76944,6),(76945,1),(76946,2),(76947,8),(76948,9),(76949,4),(76950,1),(76951,1),(76952,3),(76953,2),(76954,9),(76955,7),(76956,9),(76957,5),(76958,1),(76959,7),(76960,5),(76961,9),(76962,8),(76963,6),(76964,8),(76965,5),(76966,2),(76967,5),(76968,3),(76969,3),(76970,1),(76971,7),(76972,1),(76973,8),(76974,7),(76975,4),(76976,5),(76977,1),(76978,7),(76979,4),(76980,1),(76981,1),(76982,3),(76983,9),(76984,8),(76985,8),(76986,9),(76987,7),(76988,2),(76989,2),(76990,2),(76991,1),(76992,6),(76993,9),(76994,6),(76995,8),(76996,2),(76997,1),(76998,9),(76999,2),(77000,8),(77001,5),(77002,8),(77003,4),(77004,9),(77005,6),(77006,5),(77007,3),(77008,5),(77009,4),(77010,7),(77011,8),(77012,3),(77013,9),(77014,2),(77015,6),(77016,7),(77017,7),(77018,9),(77019,5),(77020,6),(77021,3),(77022,2),(77023,2),(77024,2),(77025,4),(77026,1),(77027,9),(77028,3),(77029,2),(77030,3),(77031,2),(77032,8),(77033,8),(77034,9),(77035,2),(77036,2),(77037,2),(77038,7),(77039,1),(77040,2),(77041,9),(77042,4),(77043,2),(77044,1),(77045,1),(77046,9),(77047,6),(77048,7),(77049,5),(77050,8),(77051,1),(77052,1),(77053,4),(77054,9),(77055,6),(77056,8),(77057,9),(77058,9),(77059,7),(77060,9),(77061,9),(77062,2),(77063,1),(77064,2),(77065,5),(77066,8),(77067,5),(77068,9),(77069,8),(77070,6),(77071,2),(77072,8),(77073,2),(77074,1),(77075,5),(77076,1),(77077,9),(77078,2),(77079,8),(77080,5),(77081,7),(77082,2),(77083,8),(77084,6),(77085,5),(77086,8),(77087,9),(77088,1),(77089,3),(77090,4),(77091,1),(77092,2),(77093,1),(77094,7),(77095,7),(77096,8),(77097,6),(77098,2),(77099,6),(77100,2),(77101,6),(77102,5),(77103,9),(77104,7),(77105,6),(77106,5),(77107,1),(77108,9),(77109,5),(77110,9),(77111,2),(77112,2),(77113,2),(77114,7),(77115,4),(77116,3),(77117,6),(77118,5),(77119,1),(77120,3),(77121,6),(77122,6),(77123,8),(77124,2),(77125,5),(77126,4),(77127,3),(77128,8),(77129,4),(77130,7),(77131,1),(77132,2),(77133,9),(77134,3),(77135,5),(77136,5),(77137,4),(77138,3),(77139,9),(77140,9),(77141,7),(77142,9),(77143,2),(77144,8),(77145,2),(77146,3),(77147,3),(77148,1),(77149,5),(77150,5),(77151,9),(77152,2),(77153,2),(77154,9),(77155,7),(77156,3),(77157,8),(77158,1),(77159,9),(77160,7),(77161,4),(77162,9),(77163,8),(77164,6),(77165,2),(77166,3),(77167,7),(77168,5),(77169,2),(77170,2),(77171,8),(77172,8),(77173,9),(77174,8),(77175,9),(77176,2),(77177,4),(77178,1),(77179,4),(77180,2),(77181,3),(77182,8),(77183,3),(77184,9),(77185,7),(77186,4),(77187,2),(77188,4),(77189,8),(77190,4),(77191,1),(77192,3),(77193,9),(77194,9),(77195,8),(77196,6),(77197,3),(77198,6),(77199,3),(77200,1),(77201,8),(77202,3),(77203,5),(77204,4),(77205,1),(77206,7),(77207,4),(77208,9),(77209,6),(77210,2),(77211,9),(77212,2),(77213,4),(77214,4),(77215,1),(77216,2),(77217,1),(77218,8),(77219,4),(77220,2),(77221,7),(77222,5),(77223,2),(77224,6),(77225,8),(77226,5),(77227,9),(77228,5),(77229,1),(77230,1),(77231,6),(77232,7),(77233,3),(77234,8),(77235,3),(77236,6),(77237,7),(77238,3),(77239,8),(77240,9),(77241,1),(77242,3),(77243,6),(77244,5),(77245,8),(77246,4),(77247,6),(77248,9),(77249,6),(77250,9),(77251,2),(77252,3),(77253,3),(77254,4),(77255,9),(77256,8),(77257,6),(77258,2),(77259,3),(77260,9),(77261,4),(77262,4),(77263,8),(77264,2),(77265,3),(77266,2),(77267,7),(77268,3),(77269,7),(77270,1),(77271,2),(77272,4),(77273,5),(77274,3),(77275,8),(77276,6),(77277,1),(77278,6),(77279,2),(77280,6),(77281,2),(77282,8),(77283,7),(77284,9),(77285,6),(77286,2),(77287,9),(77288,2),(77289,5),(77290,5),(77291,4),(77292,8),(77293,1),(77294,7),(77295,8),(77296,1),(77297,7),(77298,1),(77299,3),(77300,6),(77301,1),(77302,2),(77303,8),(77304,7),(77305,6),(77306,4),(77307,5),(77308,5),(77309,2),(77310,3),(77311,5),(77312,7),(77313,6),(77314,1),(77315,6),(77316,6),(77317,4),(77318,6),(77319,7),(77320,7),(77321,4),(77322,6),(77323,2),(77324,6),(77325,4),(77326,2),(77327,2),(77328,2),(77329,1),(77330,9),(77331,7),(77332,2),(77333,7),(77334,2),(77335,7),(77336,2),(77337,2),(77338,4),(77339,6),(77340,2),(77341,8),(77342,4),(77343,6),(77344,3),(77345,9),(77346,8),(77347,1),(77348,1),(77349,3),(77350,7),(77351,2),(77352,7),(77353,8),(77354,5),(77355,9),(77356,2),(77357,6),(77358,2),(77359,3),(77360,9),(77361,4),(77362,2),(77363,8),(77364,4),(77365,7),(77366,9),(77367,9),(77368,1),(77369,9),(77370,7),(77371,1),(77372,4),(77373,2),(77374,4),(77375,7),(77376,2),(77377,5),(77378,6),(77379,8),(77380,8),(77381,7),(77382,2),(77383,7),(77384,3),(77385,1),(77386,1),(77387,6),(77388,4),(77389,9),(77390,1),(77391,9),(77392,4),(77393,3),(77394,7),(77395,7),(77396,5),(77397,9),(77398,4),(77399,8),(77400,2),(77401,9),(77402,7),(77403,9),(77404,2),(77405,3),(77406,7),(77407,6),(77408,5),(77409,1),(77410,9),(77411,9),(77412,4),(77413,7),(77414,8),(77415,1),(77416,2),(77417,6),(77418,3),(77419,8),(77420,1),(77421,4),(77422,4),(77423,4),(77424,3),(77425,9),(77426,9),(77427,3),(77428,2),(77429,3),(77430,6),(77431,5),(77432,7),(77433,7),(77434,7),(77435,9),(77436,1),(77437,7),(77438,5),(77439,7),(77440,1),(77441,1),(77442,2),(77443,9),(77444,7),(77445,2),(77446,6),(77447,6),(77448,5),(77449,3),(77450,9),(77451,2),(77452,3),(77453,2),(77454,9),(77455,9),(77456,2),(77457,3),(77458,9),(77459,3),(77460,6),(77461,3),(77462,9),(77463,9),(77464,8),(77465,7),(77466,9),(77467,9),(77468,7),(77469,6),(77470,6),(77471,7),(77472,4),(77473,9),(77474,6),(77475,9),(77476,7),(77477,5),(77478,2),(77479,1),(77480,2),(77481,4),(77482,8),(77483,6),(77484,6),(77485,5),(77486,4),(77487,9),(77488,8),(77489,5),(77490,1),(77491,3),(77492,8),(77493,9),(77494,5),(77495,2),(77496,1),(77497,2),(77498,5),(77499,2),(77500,6),(77501,4),(77502,2),(77503,2),(77504,3),(77505,4),(77506,3),(77507,9),(77508,9),(77509,3),(77510,1),(77511,1),(77512,5),(77513,8),(77514,3),(77515,6),(77516,8),(77517,4),(77518,2),(77519,4),(77520,4),(77521,4),(77522,8),(77523,3),(77524,4),(77525,6),(77526,1),(77527,7),(77528,8),(77529,2),(77530,7),(77531,7),(77532,8),(77533,9),(77534,5),(77535,6),(77536,4),(77537,1),(77538,8),(77539,4),(77540,2),(77541,5),(77542,8),(77543,3),(77544,9),(77545,2),(77546,6),(77547,6),(77548,1),(77549,6),(77550,7),(77551,2),(77552,3),(77553,4),(77554,2),(77555,8),(77556,4),(77557,3),(77558,6),(77559,6),(77560,2),(77561,6),(77562,4),(77563,9),(77564,2),(77565,2),(77566,6),(77567,3),(77568,4),(77569,1),(77570,1),(77571,9),(77572,3),(77573,7),(77574,4),(77575,2),(77576,1),(77577,3),(77578,4),(77579,8),(77580,7),(77581,8),(77582,7),(77583,8),(77584,2),(77585,9),(77586,2),(77587,2),(77588,1),(77589,5),(77590,2),(77591,1),(77592,9),(77593,9),(77594,1),(77595,1),(77596,7),(77597,4),(77598,9),(77599,7),(77600,3),(77601,9),(77602,2),(77603,2),(77604,4),(77605,9),(77606,1),(77607,1),(77608,4),(77609,7),(77610,8),(77611,8),(77612,6),(77613,4),(77614,9),(77615,9),(77616,4),(77617,8),(77618,8),(77619,1),(77620,1),(77621,2),(77622,3),(77623,9),(77624,8),(77625,6),(77626,2),(77627,4),(77628,2),(77629,3),(77630,6),(77631,9),(77632,3),(77633,9),(77634,6),(77635,8),(77636,6),(77637,5),(77638,6),(77639,6),(77640,5),(77641,9),(77642,8),(77643,1),(77644,8),(77645,2),(77646,5),(77647,5),(77648,2),(77649,5),(77650,4),(77651,9),(77652,2),(77653,8),(77654,9),(77655,4),(77656,3),(77657,5),(77658,6),(77659,2),(77660,1),(77661,9),(77662,3),(77663,3),(77664,9),(77665,9),(77666,1),(77667,5),(77668,9),(77669,7),(77670,5),(77671,4),(77672,1),(77673,3),(77674,7),(77675,8),(77676,1),(77677,6),(77678,3),(77679,9),(77680,5),(77681,7),(77682,3),(77683,6),(77684,4),(77685,8),(77686,4),(77687,6),(77688,2),(77689,6),(77690,5),(77691,9),(77692,3),(77693,4),(77694,1),(77695,4),(77696,8),(77697,1),(77698,3),(77699,7),(77700,1),(77701,3),(77702,3),(77703,2),(77704,4),(77705,4),(77706,4),(77707,5),(77708,5),(77709,8),(77710,6),(77711,9),(77712,7),(77713,8),(77714,8),(77715,2),(77716,9),(77717,3),(77718,4),(77719,8),(77720,6),(77721,6),(77722,8),(77723,7),(77724,6),(77725,9),(77726,9),(77727,9),(77728,6),(77729,6),(77730,9),(77731,4),(77732,8),(77733,1),(77734,3),(77735,2),(77736,6),(77737,5),(77738,1),(77739,3),(77740,8),(77741,6),(77742,4),(77743,1),(77744,1),(77745,5),(77746,3),(77747,6),(77748,5),(77749,2),(77750,7),(77751,7),(77752,7),(77753,4),(77754,6),(77755,7),(77756,3),(77757,2),(77758,7),(77759,3),(77760,9),(77761,2),(77762,5),(77763,6),(77764,2),(77765,3),(77766,9),(77767,7),(77768,6),(77769,3),(77770,3),(77771,5),(77772,6),(77773,7),(77774,4),(77775,7),(77776,5),(77777,5),(77778,2),(77779,8),(77780,5),(77781,3),(77782,9),(77783,6),(77784,4),(77785,6),(77786,1),(77787,1),(77788,9),(77789,2),(77790,9),(77791,3),(77792,8),(77793,1),(77794,1),(77795,6),(77796,6),(77797,7),(77798,2),(77799,8),(77800,7),(77801,9),(77802,9),(77803,5),(77804,2),(77805,7),(77806,1),(77807,1),(77808,5),(77809,5),(77810,5),(77811,2),(77812,4),(77813,6),(77814,8),(77815,6),(77816,2),(77817,1),(77818,1),(77819,3),(77820,4),(77821,4),(77822,5),(77823,5),(77824,8),(77825,9),(77826,5),(77827,3),(77828,5),(77829,8),(77830,7),(77831,5),(77832,2),(77833,8),(77834,1),(77835,2),(77836,7),(77837,3),(77838,6),(77839,7),(77840,8),(77841,6),(77842,3),(77843,6),(77844,8),(77845,8),(77846,3),(77847,9),(77848,9),(77849,4),(77850,3),(77851,1),(77852,3),(77853,3),(77854,6),(77855,1),(77856,7),(77857,8),(77858,1),(77859,6),(77860,6),(77861,4),(77862,6),(77863,5),(77864,1),(77865,3),(77866,6),(77867,6),(77868,3),(77869,6),(77870,4),(77871,5),(77872,7),(77873,3),(77874,8),(77875,5),(77876,7),(77877,2),(77878,7),(77879,5),(77880,7),(77881,3),(77882,7),(77883,5),(77884,7),(77885,3),(77886,3),(77887,5),(77888,3),(77889,6),(77890,2),(77891,6),(77892,5),(77893,6),(77894,3),(77895,7),(77896,9),(77897,3),(77898,1),(77899,6),(77900,1),(77901,3),(77902,9),(77903,5),(77904,1),(77905,4),(77906,5),(77907,3),(77908,5),(77909,5),(77910,5),(77911,2),(77912,4),(77913,5),(77914,2),(77915,6),(77916,8),(77917,1),(77918,9),(77919,5),(77920,8),(77921,3),(77922,6),(77923,1),(77924,9),(77925,6),(77926,8),(77927,5),(77928,8),(77929,1),(77930,4),(77931,7),(77932,3),(77933,5),(77934,8),(77935,4),(77936,7),(77937,3),(77938,2),(77939,5),(77940,3),(77941,2),(77942,4),(77943,2),(77944,5),(77945,6),(77946,9),(77947,8),(77948,3),(77949,4),(77950,8),(77951,9),(77952,8),(77953,1),(77954,1),(77955,4),(77956,2),(77957,8),(77958,6),(77959,8),(77960,7),(77961,3),(77962,5),(77963,4),(77964,2),(77965,3),(77966,9),(77967,8),(77968,8),(77969,5),(77970,1),(77971,8),(77972,8),(77973,7),(77974,2),(77975,3),(77976,1),(77977,4),(77978,3),(77979,1),(77980,8),(77981,4),(77982,9),(77983,7),(77984,9),(77985,4),(77986,6),(77987,7),(77988,4),(77989,3),(77990,1),(77991,8),(77992,1),(77993,6),(77994,7),(77995,1),(77996,6),(77997,8),(77998,7),(77999,5),(78000,3),(78001,6),(78002,5),(78003,2),(78004,9),(78005,7),(78006,8),(78007,5),(78008,4),(78009,1),(78010,2),(78011,2),(78012,4),(78013,6),(78014,7),(78015,5),(78016,7),(78017,9),(78018,9),(78019,1),(78020,9),(78021,9),(78022,8),(78023,7),(78024,3),(78025,4),(78026,3),(78027,6),(78028,3),(78029,1),(78030,7),(78031,8),(78032,4),(78033,2),(78034,8),(78035,2),(78036,8),(78037,2),(78038,9),(78039,1),(78040,1),(78041,8),(78042,1),(78043,5),(78044,9),(78045,1),(78046,3),(78047,3),(78048,3),(78049,1),(78050,5),(78051,5),(78052,9),(78053,2),(78054,8),(78055,3),(78056,2),(78057,4),(78058,6),(78059,3),(78060,2),(78061,2),(78062,2),(78063,9),(78064,9),(78065,5),(78066,1),(78067,9),(78068,5),(78069,5),(78070,4),(78071,4),(78072,3),(78073,5),(78074,7),(78075,5),(78076,9),(78077,8),(78078,6),(78079,4),(78080,5),(78081,7),(78082,8),(78083,6),(78084,5),(78085,3),(78086,1),(78087,9),(78088,5),(78089,8),(78090,4),(78091,5),(78092,7),(78093,3),(78094,3),(78095,9),(78096,4),(78097,3),(78098,6),(78099,9),(78100,5),(78101,3),(78102,8),(78103,4),(78104,2),(78105,8),(78106,3),(78107,2),(78108,8),(78109,9),(78110,2),(78111,5),(78112,1),(78113,2),(78114,9),(78115,7),(78116,6),(78117,9),(78118,5),(78119,6),(78120,1),(78121,8),(78122,6),(78123,9),(78124,6),(78125,3),(78126,7),(78127,2),(78128,5),(78129,8),(78130,1),(78131,2),(78132,2),(78133,8),(78134,2),(78135,7),(78136,6),(78137,6),(78138,8),(78139,1),(78140,6),(78141,8),(78142,6),(78143,1),(78144,4),(78145,3),(78146,6),(78147,5),(78148,9),(78149,6),(78150,6),(78151,4),(78152,8),(78153,5),(78154,4),(78155,6),(78156,4),(78157,7),(78158,4),(78159,7),(78160,5),(78161,6),(78162,7),(78163,4),(78164,2),(78165,9),(78166,6),(78167,2),(78168,6),(78169,2),(78170,1),(78171,8),(78172,1),(78173,2),(78174,8),(78175,9),(78176,8),(78177,7),(78178,5),(78179,1),(78180,5),(78181,7),(78182,4),(78183,6),(78184,5),(78185,3),(78186,3),(78187,3),(78188,2),(78189,6),(78190,3),(78191,1),(78192,6),(78193,9),(78194,7),(78195,7),(78196,8),(78197,9),(78198,5),(78199,5),(78200,2),(78201,3),(78202,2),(78203,6),(78204,9),(78205,6),(78206,5),(78207,2),(78208,3),(78209,1),(78210,7),(78211,9),(78212,6),(78213,3),(78214,6),(78215,1),(78216,8),(78217,2),(78218,7),(78219,1),(78220,3),(78221,4),(78222,6),(78223,6),(78224,8),(78225,9),(78226,9),(78227,2),(78228,2),(78229,6),(78230,6),(78231,2),(78232,2),(78233,3),(78234,8),(78235,7),(78236,3),(78237,3),(78238,6),(78239,6),(78240,7),(78241,1),(78242,1),(78243,7),(78244,7),(78245,2),(78246,8),(78247,3),(78248,6),(78249,7),(78250,1),(78251,1),(78252,2),(78253,3),(78254,2),(78255,6),(78256,9),(78257,4),(78258,2),(78259,2),(78260,2),(78261,8),(78262,4),(78263,5),(78264,2),(78265,2),(78266,5),(78267,4),(78268,8),(78269,8),(78270,5),(78271,9),(78272,9),(78273,9),(78274,2),(78275,4),(78276,6),(78277,4),(78278,6),(78279,3),(78280,9),(78281,8),(78282,9),(78283,3),(78284,7),(78285,1),(78286,8),(78287,8),(78288,8),(78289,5),(78290,8),(78291,5),(78292,7),(78293,3),(78294,3),(78295,8),(78296,3),(78297,6),(78298,9),(78299,6),(78300,7),(78301,3),(78302,8),(78303,4),(78304,7),(78305,7),(78306,1),(78307,5),(78308,8),(78309,8),(78310,8),(78311,5),(78312,6),(78313,8),(78314,3),(78315,8),(78316,6),(78317,6),(78318,4),(78319,2),(78320,2),(78321,2),(78322,8),(78323,9),(78324,9),(78325,8),(78326,9),(78327,7),(78328,3),(78329,3),(78330,3),(78331,1),(78332,9),(78333,1),(78334,7),(78335,5),(78336,4),(78337,4),(78338,2),(78339,5),(78340,4),(78341,3),(78342,5),(78343,3),(78344,7),(78345,6),(78346,2),(78347,9),(78348,7),(78349,5),(78350,3),(78351,1),(78352,9),(78353,6),(78354,7),(78355,4),(78356,7),(78357,5),(78358,1),(78359,8),(78360,4),(78361,9),(78362,9),(78363,2),(78364,3),(78365,9),(78366,1),(78367,1),(78368,6),(78369,7),(78370,5),(78371,2),(78372,1),(78373,7),(78374,4),(78375,7),(78376,6),(78377,2),(78378,8),(78379,2),(78380,9),(78381,7),(78382,1),(78383,1),(78384,2),(78385,2),(78386,3),(78387,6),(78388,3),(78389,7),(78390,3),(78391,2),(78392,1),(78393,6),(78394,2),(78395,5),(78396,6),(78397,7),(78398,1),(78399,6),(78400,8),(78401,7),(78402,8),(78403,3),(78404,1),(78405,6),(78406,5),(78407,9),(78408,7),(78409,2),(78410,3),(78411,4),(78412,7),(78413,6),(78414,7),(78415,8),(78416,5),(78417,6),(78418,3),(78419,3),(78420,1),(78421,6),(78422,5),(78423,6),(78424,4),(78425,2),(78426,6),(78427,1),(78428,9),(78429,3),(78430,7),(78431,8),(78432,8),(78433,9),(78434,4),(78435,1),(78436,2),(78437,4),(78438,9),(78439,9),(78440,6),(78441,1),(78442,8),(78443,3),(78444,7),(78445,4),(78446,6),(78447,7),(78448,8),(78449,3),(78450,7),(78451,3),(78452,2),(78453,3),(78454,3),(78455,5),(78456,5),(78457,9),(78458,5),(78459,8),(78460,1),(78461,7),(78462,6),(78463,7),(78464,9),(78465,1),(78466,8),(78467,7),(78468,2),(78469,2),(78470,9),(78471,6),(78472,3),(78473,6),(78474,3),(78475,1),(78476,3),(78477,2),(78478,8),(78479,3),(78480,6),(78481,9),(78482,4),(78483,8),(78484,6),(78485,4),(78486,8),(78487,1),(78488,8),(78489,3),(78490,5),(78491,5),(78492,4),(78493,6),(78494,1),(78495,9),(78496,8),(78497,8),(78498,8),(78499,2),(78500,5),(78501,5),(78502,6),(78503,7),(78504,9),(78505,8),(78506,8),(78507,2),(78508,5),(78509,4),(78510,5),(78511,2),(78512,4),(78513,5),(78514,8),(78515,6),(78516,9),(78517,9),(78518,1),(78519,4),(78520,9),(78521,1),(78522,1),(78523,9),(78524,2),(78525,5),(78526,1),(78527,8),(78528,7),(78529,4),(78530,7),(78531,2),(78532,9),(78533,6),(78534,1),(78535,9),(78536,7),(78537,7),(78538,7),(78539,6),(78540,9),(78541,6),(78542,4),(78543,2),(78544,5),(78545,4),(78546,7),(78547,7),(78548,3),(78549,1),(78550,9),(78551,3),(78552,3),(78553,9),(78554,8),(78555,9),(78556,3),(78557,5),(78558,4),(78559,2),(78560,5),(78561,4),(78562,8),(78563,9),(78564,6),(78565,1),(78566,5),(78567,5),(78568,2),(78569,1),(78570,9),(78571,6),(78572,2),(78573,7),(78574,6),(78575,7),(78576,2),(78577,5),(78578,1),(78579,5),(78580,3),(78581,4),(78582,1),(78583,1),(78584,1),(78585,5),(78586,5),(78587,9),(78588,4),(78589,4),(78590,1),(78591,7),(78592,7),(78593,5),(78594,4),(78595,3),(78596,2),(78597,7),(78598,4),(78599,4),(78600,2),(78601,7),(78602,4),(78603,1),(78604,6),(78605,7),(78606,2),(78607,7),(78608,2),(78609,1),(78610,4),(78611,2),(78612,9),(78613,1),(78614,8),(78615,8),(78616,2),(78617,4),(78618,5),(78619,5),(78620,5),(78621,2),(78622,3),(78623,3),(78624,9),(78625,6),(78626,7),(78627,8),(78628,8),(78629,7),(78630,6),(78631,8),(78632,6),(78633,4),(78634,1),(78635,7),(78636,3),(78637,5),(78638,7),(78639,2),(78640,1),(78641,5),(78642,9),(78643,5),(78644,5),(78645,9),(78646,5),(78647,9),(78648,3),(78649,9),(78650,2),(78651,4),(78652,5),(78653,7),(78654,8),(78655,6),(78656,9),(78657,1),(78658,3),(78659,9),(78660,7),(78661,3),(78662,6),(78663,6),(78664,1),(78665,9),(78666,8),(78667,8),(78668,8),(78669,3),(78670,1),(78671,5),(78672,9),(78673,3),(78674,4),(78675,4),(78676,6),(78677,1),(78678,2),(78679,3),(78680,7),(78681,9),(78682,9),(78683,7),(78684,4),(78685,4),(78686,2),(78687,3),(78688,8),(78689,1),(78690,3),(78691,4),(78692,1),(78693,9),(78694,5),(78695,7),(78696,5),(78697,1),(78698,8),(78699,2),(78700,8),(78701,9),(78702,9),(78703,4),(78704,5),(78705,5),(78706,4),(78707,9),(78708,4),(78709,7),(78710,4),(78711,6),(78712,3),(78713,7),(78714,3),(78715,9),(78716,4),(78717,2),(78718,9),(78719,2),(78720,7),(78721,1),(78722,3),(78723,5),(78724,3),(78725,4),(78726,8),(78727,8),(78728,6),(78729,6),(78730,8),(78731,7),(78732,1),(78733,8),(78734,3),(78735,9),(78736,8),(78737,8),(78738,7),(78739,8),(78740,9),(78741,9),(78742,3),(78743,7),(78744,5),(78745,2),(78746,8),(78747,9),(78748,4),(78749,4),(78750,8),(78751,8),(78752,4),(78753,9),(78754,7),(78755,4),(78756,1),(78757,8),(78758,1),(78759,6),(78760,8),(78761,3),(78762,5),(78763,8),(78764,6),(78765,8),(78766,5),(78767,4),(78768,7),(78769,6),(78770,8),(78771,9),(78772,9),(78773,2),(78774,1),(78775,1),(78776,7),(78777,6),(78778,5),(78779,3),(78780,1),(78781,8),(78782,1),(78783,8),(78784,2),(78785,1),(78786,7),(78787,3),(78788,7),(78789,3),(78790,9),(78791,6),(78792,1),(78793,3),(78794,2),(78795,5),(78796,1),(78797,5),(78798,7),(78799,2),(78800,6),(78801,7),(78802,2),(78803,3),(78804,2),(78805,5),(78806,1),(78807,2),(78808,6),(78809,7),(78810,2),(78811,4),(78812,6),(78813,9),(78814,6),(78815,6),(78816,2),(78817,6),(78818,8),(78819,5),(78820,3),(78821,6),(78822,7),(78823,4),(78824,7),(78825,8),(78826,3),(78827,3),(78828,6),(78829,9),(78830,1),(78831,2),(78832,2),(78833,1),(78834,8),(78835,5),(78836,7),(78837,3),(78838,6),(78839,1),(78840,1),(78841,3),(78842,1),(78843,8),(78844,8),(78845,3),(78846,8),(78847,3),(78848,2),(78849,6),(78850,4),(78851,4),(78852,2),(78853,9),(78854,5),(78855,8),(78856,1),(78857,4),(78858,7),(78859,3),(78860,7),(78861,7),(78862,7),(78863,2),(78864,1),(78865,6),(78866,8),(78867,6),(78868,6),(78869,3),(78870,8),(78871,3),(78872,6),(78873,4),(78874,4),(78875,4),(78876,2),(78877,7),(78878,3),(78879,9),(78880,5),(78881,2),(78882,2),(78883,3),(78884,2),(78885,9),(78886,3),(78887,4),(78888,6),(78889,2),(78890,8),(78891,5),(78892,8),(78893,1),(78894,6),(78895,4),(78896,7),(78897,7),(78898,1),(78899,5),(78900,1),(78901,6),(78902,3),(78903,3),(78904,6),(78905,7),(78906,8),(78907,8),(78908,8),(78909,3),(78910,5),(78911,2),(78912,4),(78913,1),(78914,1),(78915,8),(78916,4),(78917,7),(78918,9),(78919,1),(78920,6),(78921,8),(78922,1),(78923,2),(78924,5),(78925,5),(78926,2),(78927,7),(78928,1),(78929,4),(78930,9),(78931,6),(78932,4),(78933,6),(78934,7),(78935,2),(78936,6),(78937,7),(78938,1),(78939,2),(78940,5),(78941,2),(78942,5),(78943,5),(78944,6),(78945,1),(78946,9),(78947,9),(78948,9),(78949,1),(78950,2),(78951,3),(78952,8),(78953,7),(78954,3),(78955,4),(78956,6),(78957,2),(78958,8),(78959,2),(78960,3),(78961,8),(78962,9),(78963,5),(78964,2),(78965,8),(78966,6),(78967,9),(78968,6),(78969,7),(78970,3),(78971,1),(78972,6),(78973,3),(78974,1),(78975,1),(78976,3),(78977,6),(78978,9),(78979,1),(78980,2),(78981,7),(78982,4),(78983,8),(78984,8),(78985,9),(78986,1),(78987,5),(78988,2),(78989,2),(78990,5),(78991,4),(78992,2),(78993,5),(78994,7),(78995,9),(78996,7),(78997,4),(78998,5),(78999,1),(79000,3),(79001,4),(79002,7),(79003,8),(79004,7),(79005,7),(79006,8),(79007,9),(79008,6),(79009,6),(79010,6),(79011,3),(79012,1),(79013,9),(79014,4),(79015,1),(79016,9),(79017,6),(79018,9),(79019,6),(79020,3),(79021,7),(79022,8),(79023,4),(79024,1),(79025,8),(79026,6),(79027,9),(79028,4),(79029,4),(79030,9),(79031,7),(79032,8),(79033,7),(79034,9),(79035,6),(79036,6),(79037,2),(79038,6),(79039,2),(79040,4),(79041,6),(79042,9),(79043,6),(79044,3),(79045,4),(79046,4),(79047,5),(79048,6),(79049,6),(79050,9),(79051,1),(79052,5),(79053,1),(79054,3),(79055,4),(79056,7),(79057,2),(79058,7),(79059,7),(79060,1),(79061,3),(79062,5),(79063,4),(79064,7),(79065,6),(79066,5),(79067,2),(79068,9),(79069,6),(79070,1),(79071,1),(79072,8),(79073,5),(79074,7),(79075,9),(79076,5),(79077,2),(79078,6),(79079,2),(79080,8),(79081,5),(79082,1),(79083,8),(79084,2),(79085,8),(79086,7),(79087,6),(79088,6),(79089,5),(79090,2),(79091,8),(79092,3),(79093,8),(79094,2),(79095,8),(79096,5),(79097,4),(79098,4),(79099,7),(79100,7),(79101,8),(79102,9),(79103,3),(79104,2),(79105,8),(79106,9),(79107,4),(79108,2),(79109,2),(79110,2),(79111,3),(79112,1),(79113,5),(79114,2),(79115,2),(79116,9),(79117,8),(79118,6),(79119,6),(79120,2),(79121,4),(79122,6),(79123,8),(79124,9),(79125,9),(79126,8),(79127,7),(79128,1),(79129,4),(79130,8),(79131,6),(79132,5),(79133,7),(79134,1),(79135,6),(79136,7),(79137,8),(79138,8),(79139,6),(79140,4),(79141,8),(79142,5),(79143,3),(79144,4),(79145,1),(79146,4),(79147,9),(79148,5),(79149,4),(79150,2),(79151,8),(79152,9),(79153,2),(79154,7),(79155,7),(79156,1),(79157,1),(79158,9),(79159,8),(79160,4),(79161,9),(79162,9),(79163,3),(79164,3),(79165,9),(79166,9),(79167,7),(79168,6),(79169,5),(79170,2),(79171,3),(79172,4),(79173,9),(79174,9),(79175,6),(79176,7),(79177,8),(79178,2),(79179,4),(79180,4),(79181,1),(79182,7),(79183,6),(79184,6),(79185,3),(79186,1),(79187,6),(79188,9),(79189,8),(79190,5),(79191,4),(79192,3),(79193,9),(79194,7),(79195,9),(79196,2),(79197,4),(79198,1),(79199,7),(79200,1),(79201,7),(79202,5),(79203,1),(79204,7),(79205,9),(79206,6),(79207,5),(79208,4),(79209,9),(79210,9),(79211,9),(79212,9),(79213,2),(79214,7),(79215,5),(79216,9),(79217,1),(79218,7),(79219,6),(79220,1),(79221,3),(79222,3),(79223,7),(79224,7),(79225,7),(79226,4),(79227,3),(79228,9),(79229,2),(79230,7),(79231,8),(79232,6),(79233,5),(79234,1),(79235,1),(79236,4),(79237,1),(79238,8),(79239,7),(79240,4),(79241,5),(79242,5),(79243,8),(79244,1),(79245,3),(79246,4),(79247,9),(79248,2),(79249,2),(79250,1),(79251,3),(79252,4),(79253,8),(79254,8),(79255,2),(79256,6),(79257,3),(79258,3),(79259,1),(79260,9),(79261,3),(79262,2),(79263,1),(79264,9),(79265,6),(79266,1),(79267,5),(79268,6),(79269,4),(79270,6),(79271,4),(79272,6),(79273,6),(79274,2),(79275,1),(79276,4),(79277,5),(79278,8),(79279,2),(79280,9),(79281,2),(79282,4),(79283,4),(79284,4),(79285,6),(79286,9),(79287,6),(79288,6),(79289,1),(79290,5),(79291,1),(79292,7),(79293,4),(79294,4),(79295,3),(79296,3),(79297,7),(79298,3),(79299,2),(79300,5),(79301,5),(79302,7),(79303,9),(79304,5),(79305,9),(79306,8),(79307,6),(79308,2),(79309,9),(79310,8),(79311,6),(79312,7),(79313,6),(79314,5),(79315,4),(79316,7),(79317,9),(79318,4),(79319,6),(79320,7),(79321,8),(79322,3),(79323,2),(79324,1),(79325,9),(79326,6),(79327,7),(79328,5),(79329,2),(79330,5),(79331,4),(79332,2),(79333,7),(79334,3),(79335,6),(79336,1),(79337,6),(79338,3),(79339,2),(79340,2),(79341,3),(79342,5),(79343,4),(79344,4),(79345,4),(79346,8),(79347,3),(79348,8),(79349,1),(79350,1),(79351,4),(79352,9),(79353,7),(79354,6),(79355,6),(79356,9),(79357,2),(79358,4),(79359,6),(79360,8),(79361,4),(79362,1),(79363,5),(79364,3),(79365,5),(79366,6),(79367,9),(79368,4),(79369,7),(79370,3),(79371,5),(79372,9),(79373,5),(79374,5),(79375,7),(79376,8),(79377,6),(79378,4),(79379,3),(79380,7),(79381,3),(79382,4),(79383,9),(79384,2),(79385,2),(79386,8),(79387,9),(79388,4),(79389,7),(79390,1),(79391,9),(79392,5),(79393,5),(79394,4),(79395,5),(79396,5),(79397,5),(79398,2),(79399,7),(79400,7),(79401,9),(79402,5),(79403,4),(79404,6),(79405,6),(79406,4),(79407,2),(79408,3),(79409,4),(79410,5),(79411,4),(79412,1),(79413,9),(79414,2),(79415,5),(79416,7),(79417,5),(79418,5),(79419,8),(79420,1),(79421,2),(79422,4),(79423,3),(79424,9),(79425,7),(79426,2),(79427,1),(79428,8),(79429,8),(79430,2),(79431,6),(79432,7),(79433,6),(79434,1),(79435,4),(79436,2),(79437,8),(79438,3),(79439,8),(79440,8),(79441,4),(79442,7),(79443,5),(79444,5),(79445,6),(79446,5),(79447,8),(79448,5),(79449,8),(79450,8),(79451,2),(79452,6),(79453,1),(79454,7),(79455,4),(79456,9),(79457,7),(79458,3),(79459,9),(79460,5),(79461,9),(79462,3),(79463,2),(79464,6),(79465,9),(79466,3),(79467,7),(79468,1),(79469,1),(79470,2),(79471,2),(79472,4),(79473,5),(79474,9),(79475,5),(79476,3),(79477,7),(79478,8),(79479,8),(79480,8),(79481,4),(79482,9),(79483,4),(79484,1),(79485,8),(79486,4),(79487,7),(79488,1),(79489,3),(79490,6),(79491,1),(79492,7),(79493,4),(79494,9),(79495,6),(79496,6),(79497,4),(79498,4),(79499,5),(79500,7),(79501,4),(79502,6),(79503,3),(79504,1),(79505,4),(79506,9),(79507,6),(79508,6),(79509,3),(79510,5),(79511,6),(79512,5),(79513,5),(79514,7),(79515,2),(79516,2),(79517,7),(79518,3),(79519,1),(79520,5),(79521,2),(79522,3),(79523,4),(79524,5),(79525,7),(79526,5),(79527,5),(79528,8),(79529,3),(79530,3),(79531,3),(79532,2),(79533,9),(79534,9),(79535,6),(79536,1),(79537,3),(79538,6),(79539,6),(79540,5),(79541,3),(79542,5),(79543,9),(79544,5),(79545,8),(79546,7),(79547,2),(79548,9),(79549,1),(79550,6),(79551,6),(79552,7),(79553,5),(79554,3),(79555,5),(79556,8),(79557,3),(79558,4),(79559,1),(79560,6),(79561,7),(79562,7),(79563,9),(79564,9),(79565,2),(79566,4),(79567,3),(79568,4),(79569,4),(79570,7),(79571,5),(79572,6),(79573,4),(79574,6),(79575,8),(79576,5),(79577,2),(79578,7),(79579,4),(79580,3),(79581,4),(79582,6),(79583,3),(79584,2),(79585,7),(79586,6),(79587,3),(79588,5),(79589,5),(79590,5),(79591,7),(79592,3),(79593,2),(79594,7),(79595,7),(79596,7),(79597,8),(79598,4),(79599,4),(79600,6),(79601,6),(79602,2),(79603,5),(79604,7),(79605,5),(79606,8),(79607,9),(79608,6),(79609,1),(79610,7),(79611,9),(79612,3),(79613,4),(79614,7),(79615,3),(79616,6),(79617,2),(79618,1),(79619,8),(79620,9),(79621,8),(79622,5),(79623,4),(79624,8),(79625,1),(79626,4),(79627,4),(79628,9),(79629,9),(79630,7),(79631,5),(79632,7),(79633,3),(79634,7),(79635,7),(79636,1),(79637,6),(79638,9),(79639,9),(79640,1),(79641,6),(79642,2),(79643,1),(79644,9),(79645,9),(79646,9),(79647,5),(79648,2),(79649,9),(79650,5),(79651,1),(79652,5),(79653,8),(79654,5),(79655,4),(79656,3),(79657,1),(79658,6),(79659,1),(79660,6),(79661,7),(79662,6),(79663,7),(79664,7),(79665,7),(79666,4),(79667,2),(79668,5),(79669,3),(79670,4),(79671,4),(79672,2),(79673,7),(79674,4),(79675,9),(79676,7),(79677,4),(79678,4),(79679,2),(79680,4),(79681,5),(79682,8),(79683,7),(79684,4),(79685,1),(79686,7),(79687,1),(79688,8),(79689,7),(79690,7),(79691,2),(79692,5),(79693,9),(79694,6),(79695,1),(79696,2),(79697,8),(79698,4),(79699,6),(79700,8),(79701,1),(79702,3),(79703,1),(79704,3),(79705,3),(79706,3),(79707,4),(79708,8),(79709,1),(79710,9),(79711,1),(79712,8),(79713,5),(79714,2),(79715,3),(79716,6),(79717,7),(79718,4),(79719,7),(79720,7),(79721,4),(79722,8),(79723,6),(79724,2),(79725,6),(79726,6),(79727,3),(79728,3),(79729,7),(79730,9),(79731,4),(79732,6),(79733,9),(79734,6),(79735,7),(79736,3),(79737,8),(79738,2),(79739,1),(79740,2),(79741,3),(79742,1),(79743,6),(79744,2),(79745,6),(79746,4),(79747,2),(79748,7),(79749,8),(79750,8),(79751,6),(79752,8),(79753,1),(79754,1),(79755,1),(79756,3),(79757,4),(79758,5),(79759,8),(79760,5),(79761,6),(79762,1),(79763,9),(79764,8),(79765,4),(79766,1),(79767,2),(79768,9),(79769,9),(79770,2),(79771,1),(79772,4),(79773,2),(79774,7),(79775,6),(79776,1),(79777,1),(79778,1),(79779,6),(79780,4),(79781,2),(79782,6),(79783,7),(79784,1),(79785,8),(79786,8),(79787,3),(79788,5),(79789,5),(79790,9),(79791,2),(79792,4),(79793,6),(79794,5),(79795,8),(79796,1),(79797,7),(79798,5),(79799,2),(79800,8),(79801,2),(79802,6),(79803,6),(79804,2),(79805,4),(79806,9),(79807,9),(79808,8),(79809,4),(79810,5),(79811,2),(79812,5),(79813,4),(79814,9),(79815,8),(79816,4),(79817,6),(79818,9),(79819,8),(79820,8),(79821,2),(79822,8),(79823,2),(79824,7),(79825,6),(79826,6),(79827,8),(79828,9),(79829,7),(79830,2),(79831,7),(79832,7),(79833,1),(79834,8),(79835,2),(79836,9),(79837,6),(79838,6),(79839,5),(79840,9),(79841,2),(79842,7),(79843,2),(79844,9),(79845,5),(79846,5),(79847,7),(79848,6),(79849,5),(79850,4),(79851,3),(79852,8),(79853,3),(79854,2),(79855,3),(79856,2),(79857,1),(79858,7),(79859,5),(79860,8),(79861,9),(79862,8),(79863,9),(79864,4),(79865,3),(79866,5),(79867,4),(79868,6),(79869,6),(79870,2),(79871,5),(79872,2),(79873,8),(79874,7),(79875,9),(79876,4),(79877,3),(79878,8),(79879,5),(79880,6),(79881,7),(79882,5),(79883,2),(79884,3),(79885,9),(79886,1),(79887,3),(79888,5),(79889,2),(79890,2),(79891,8),(79892,5),(79893,6),(79894,2),(79895,8),(79896,9),(79897,7),(79898,1),(79899,7),(79900,6),(79901,2),(79902,3),(79903,2),(79904,7),(79905,1),(79906,1),(79907,2),(79908,6),(79909,3),(79910,2),(79911,2),(79912,6),(79913,4),(79914,1),(79915,9),(79916,6),(79917,4),(79918,5),(79919,9),(79920,5),(79921,8),(79922,2),(79923,8),(79924,1),(79925,5),(79926,3),(79927,3),(79928,2),(79929,3),(79930,6),(79931,7),(79932,2),(79933,8),(79934,4),(79935,1),(79936,2),(79937,2),(79938,8),(79939,1),(79940,6),(79941,4),(79942,4),(79943,8),(79944,1),(79945,6),(79946,4),(79947,8),(79948,7),(79949,7),(79950,8),(79951,7),(79952,9),(79953,4),(79954,1),(79955,4),(79956,9),(79957,6),(79958,9),(79959,2),(79960,3),(79961,1),(79962,3),(79963,2),(79964,8),(79965,3),(79966,9),(79967,9),(79968,5),(79969,5),(79970,4),(79971,6),(79972,4),(79973,9),(79974,1),(79975,5),(79976,3),(79977,9),(79978,3),(79979,5),(79980,9),(79981,9),(79982,3),(79983,5),(79984,6),(79985,5),(79986,1),(79987,7),(79988,5),(79989,1),(79990,8),(79991,2),(79992,7),(79993,5),(79994,9),(79995,3),(79996,8),(79997,1),(79998,1),(79999,6),(80000,6),(80001,2),(80002,8),(80003,1),(80004,5),(80005,6),(80006,3),(80007,5),(80008,8),(80009,1),(80010,8),(80011,9),(80012,7),(80013,9),(80014,3),(80015,5),(80016,3),(80017,2),(80018,6),(80019,5),(80020,5),(80021,1),(80022,8),(80023,1),(80024,7),(80025,4),(80026,5),(80027,5),(80028,6),(80029,5),(80030,8),(80031,7),(80032,8),(80033,2),(80034,5),(80035,2),(80036,6),(80037,2),(80038,4),(80039,8),(80040,4),(80041,4),(80042,7),(80043,6),(80044,5),(80045,6),(80046,4),(80047,7),(80048,2),(80049,9),(80050,4),(80051,4),(80052,3),(80053,7),(80054,6),(80055,4),(80056,4),(80057,5),(80058,7),(80059,9),(80060,1),(80061,6),(80062,4),(80063,2),(80064,8),(80065,3),(80066,4),(80067,2),(80068,5),(80069,1),(80070,1),(80071,9),(80072,9),(80073,7),(80074,2),(80075,1),(80076,7),(80077,7),(80078,6),(80079,7),(80080,9),(80081,3),(80082,7),(80083,6),(80084,5),(80085,1),(80086,6),(80087,7),(80088,3),(80089,1),(80090,4),(80091,7),(80092,2),(80093,3),(80094,8),(80095,2),(80096,4),(80097,4),(80098,5),(80099,6),(80100,3),(80101,3),(80102,2),(80103,1),(80104,1),(80105,8),(80106,5),(80107,2),(80108,3),(80109,1),(80110,1),(80111,3),(80112,7),(80113,4),(80114,9),(80115,2),(80116,7),(80117,9),(80118,3),(80119,3),(80120,7),(80121,2),(80122,1),(80123,2),(80124,5),(80125,4),(80126,8),(80127,4),(80128,6),(80129,6),(80130,6),(80131,1),(80132,8),(80133,2),(80134,1),(80135,7),(80136,4),(80137,5),(80138,6),(80139,4),(80140,4),(80141,7),(80142,8),(80143,2),(80144,8),(80145,5),(80146,1),(80147,6),(80148,8),(80149,5),(80150,6),(80151,4),(80152,9),(80153,3),(80154,9),(80155,3),(80156,7),(80157,9),(80158,6),(80159,2),(80160,9),(80161,3),(80162,1),(80163,1),(80164,5),(80165,6),(80166,4),(80167,2),(80168,9),(80169,7),(80170,1),(80171,5),(80172,6),(80173,9),(80174,3),(80175,2),(80176,4),(80177,7),(80178,3),(80179,7),(80180,1),(80181,6),(80182,8),(80183,9),(80184,7),(80185,6),(80186,4),(80187,4),(80188,3),(80189,7),(80190,8),(80191,7),(80192,1),(80193,9),(80194,8),(80195,8),(80196,3),(80197,6),(80198,3),(80199,6),(80200,1),(80201,7),(80202,6),(80203,1),(80204,1),(80205,6),(80206,5),(80207,4),(80208,2),(80209,3),(80210,1),(80211,9),(80212,3),(80213,1),(80214,4),(80215,4),(80216,6),(80217,1),(80218,6),(80219,5),(80220,2),(80221,4),(80222,2),(80223,1),(80224,6),(80225,7),(80226,4),(80227,3),(80228,2),(80229,1),(80230,3),(80231,4),(80232,7),(80233,2),(80234,6),(80235,5),(80236,4),(80237,5),(80238,7),(80239,1),(80240,4),(80241,4),(80242,7),(80243,6),(80244,8),(80245,3),(80246,6),(80247,2),(80248,1),(80249,4),(80250,6),(80251,4),(80252,7),(80253,4),(80254,8),(80255,1),(80256,5),(80257,2),(80258,8),(80259,6),(80260,7),(80261,5),(80262,4),(80263,2),(80264,7),(80265,9),(80266,8),(80267,1),(80268,7),(80269,8),(80270,4),(80271,8),(80272,7),(80273,6),(80274,8),(80275,5),(80276,5),(80277,8),(80278,8),(80279,4),(80280,5),(80281,1),(80282,7),(80283,9),(80284,3),(80285,7),(80286,6),(80287,8),(80288,7),(80289,9),(80290,4),(80291,5),(80292,4),(80293,6),(80294,7),(80295,2),(80296,2),(80297,3),(80298,4),(80299,2),(80300,1),(80301,3),(80302,4),(80303,1),(80304,9),(80305,2),(80306,7),(80307,2),(80308,4),(80309,5),(80310,8),(80311,7),(80312,1),(80313,8),(80314,5),(80315,6),(80316,4),(80317,3),(80318,7),(80319,7),(80320,5),(80321,2),(80322,3),(80323,7),(80324,6),(80325,7),(80326,1),(80327,8),(80328,2),(80329,8),(80330,3),(80331,1),(80332,7),(80333,9),(80334,9),(80335,8),(80336,4),(80337,7),(80338,1),(80339,9),(80340,5),(80341,1),(80342,8),(80343,8),(80344,6),(80345,9),(80346,4),(80347,5),(80348,9),(80349,4),(80350,8),(80351,6),(80352,8),(80353,5),(80354,2),(80355,2),(80356,2),(80357,1),(80358,5),(80359,7),(80360,8),(80361,8),(80362,6),(80363,9),(80364,9),(80365,2),(80366,1),(80367,1),(80368,3),(80369,7),(80370,5),(80371,8),(80372,5),(80373,5),(80374,7),(80375,2),(80376,2),(80377,6),(80378,2),(80379,7),(80380,7),(80381,9),(80382,3),(80383,8),(80384,1),(80385,5),(80386,9),(80387,1),(80388,7),(80389,3),(80390,2),(80391,5),(80392,6),(80393,9),(80394,2),(80395,9),(80396,4),(80397,3),(80398,1),(80399,3),(80400,5),(80401,4),(80402,5),(80403,9),(80404,3),(80405,6),(80406,3),(80407,8),(80408,7),(80409,6),(80410,4),(80411,8),(80412,4),(80413,9),(80414,2),(80415,1),(80416,5),(80417,3),(80418,1),(80419,7),(80420,5),(80421,6),(80422,6),(80423,7),(80424,9),(80425,6),(80426,2),(80427,8),(80428,6),(80429,6),(80430,4),(80431,9),(80432,4),(80433,2),(80434,9),(80435,2),(80436,7),(80437,6),(80438,8),(80439,1),(80440,7),(80441,2),(80442,5),(80443,9),(80444,8),(80445,5),(80446,7),(80447,8),(80448,4),(80449,4),(80450,4),(80451,3),(80452,6),(80453,2),(80454,5),(80455,9),(80456,9),(80457,1),(80458,2),(80459,4),(80460,7),(80461,5),(80462,5),(80463,4),(80464,5),(80465,1),(80466,9),(80467,2),(80468,4),(80469,5),(80470,4),(80471,6),(80472,7),(80473,2),(80474,3),(80475,3),(80476,4),(80477,1),(80478,7),(80479,4),(80480,5),(80481,4),(80482,8),(80483,3),(80484,1),(80485,7),(80486,5),(80487,7),(80488,7),(80489,4),(80490,4),(80491,7),(80492,6),(80493,8),(80494,6),(80495,3),(80496,5),(80497,5),(80498,1),(80499,5),(80500,4),(80501,3),(80502,7),(80503,8),(80504,3),(80505,8),(80506,5),(80507,7),(80508,9),(80509,7),(80510,1),(80511,3),(80512,1),(80513,8),(80514,4),(80515,2),(80516,5),(80517,8),(80518,3),(80519,9),(80520,6),(80521,7),(80522,6),(80523,8),(80524,4),(80525,3),(80526,9),(80527,8),(80528,5),(80529,2),(80530,7),(80531,7),(80532,8),(80533,9),(80534,9),(80535,7),(80536,2),(80537,5),(80538,7),(80539,2),(80540,3),(80541,1),(80542,9),(80543,6),(80544,8),(80545,1),(80546,4),(80547,8),(80548,1),(80549,8),(80550,9),(80551,2),(80552,7),(80553,4),(80554,4),(80555,7),(80556,1),(80557,8),(80558,7),(80559,3),(80560,3),(80561,4),(80562,4),(80563,3),(80564,4),(80565,4),(80566,6),(80567,5),(80568,5),(80569,2),(80570,4),(80571,6),(80572,8),(80573,4),(80574,8),(80575,8),(80576,2),(80577,7),(80578,8),(80579,8),(80580,6),(80581,9),(80582,3),(80583,3),(80584,4),(80585,9),(80586,4),(80587,6),(80588,2),(80589,5),(80590,6),(80591,7),(80592,7),(80593,8),(80594,7),(80595,7),(80596,1),(80597,5),(80598,1),(80599,9),(80600,7),(80601,2),(80602,2),(80603,6),(80604,3),(80605,9),(80606,1),(80607,4),(80608,4),(80609,8),(80610,3),(80611,5),(80612,2),(80613,9),(80614,2),(80615,1),(80616,5),(80617,2),(80618,8),(80619,8),(80620,4),(80621,3),(80622,3),(80623,2),(80624,1),(80625,5),(80626,7),(80627,6),(80628,2),(80629,7),(80630,8),(80631,9),(80632,6),(80633,5),(80634,2),(80635,2),(80636,8),(80637,5),(80638,9),(80639,3),(80640,2),(80641,9),(80642,7),(80643,7),(80644,7),(80645,3),(80646,5),(80647,1),(80648,3),(80649,6),(80650,3),(80651,4),(80652,7),(80653,5),(80654,8),(80655,5),(80656,3),(80657,5),(80658,5),(80659,5),(80660,8),(80661,4),(80662,9),(80663,5),(80664,8),(80665,4),(80666,6),(80667,5),(80668,9),(80669,6),(80670,9),(80671,8),(80672,9),(80673,5),(80674,3),(80675,2),(80676,8),(80677,4),(80678,5),(80679,5),(80680,1),(80681,3),(80682,9),(80683,5),(80684,6),(80685,4),(80686,7),(80687,5),(80688,5),(80689,1),(80690,8),(80691,3),(80692,2),(80693,2),(80694,4),(80695,7),(80696,6),(80697,3),(80698,9),(80699,9),(80700,9),(80701,5),(80702,9),(80703,2),(80704,6),(80705,8),(80706,6),(80707,3),(80708,8),(80709,6),(80710,2),(80711,3),(80712,1),(80713,6),(80714,6),(80715,3),(80716,5),(80717,6),(80718,7),(80719,8),(80720,9),(80721,8),(80722,9),(80723,6),(80724,6),(80725,2),(80726,7),(80727,1),(80728,7),(80729,6),(80730,3),(80731,8),(80732,1),(80733,8),(80734,2),(80735,6),(80736,2),(80737,9),(80738,4),(80739,9),(80740,9),(80741,7),(80742,9),(80743,6),(80744,5),(80745,8),(80746,6),(80747,4),(80748,8),(80749,8),(80750,2),(80751,8),(80752,1),(80753,4),(80754,3),(80755,8),(80756,7),(80757,3),(80758,6),(80759,2),(80760,7),(80761,2),(80762,9),(80763,5),(80764,1),(80765,8),(80766,7),(80767,6),(80768,8),(80769,5),(80770,6),(80771,5),(80772,3),(80773,4),(80774,6),(80775,1),(80776,6),(80777,8),(80778,4),(80779,5),(80780,7),(80781,6),(80782,6),(80783,7),(80784,7),(80785,4),(80786,3),(80787,2),(80788,3),(80789,6),(80790,5),(80791,5),(80792,3),(80793,7),(80794,4),(80795,8),(80796,9),(80797,2),(80798,4),(80799,9),(80800,5),(80801,4),(80802,5),(80803,1),(80804,8),(80805,5),(80806,8),(80807,6),(80808,8),(80809,9),(80810,5),(80811,6),(80812,7),(80813,1),(80814,4),(80815,9),(80816,4),(80817,6),(80818,1),(80819,6),(80820,7),(80821,5),(80822,6),(80823,4),(80824,5),(80825,3),(80826,8),(80827,2),(80828,7),(80829,3),(80830,7),(80831,2),(80832,8),(80833,6),(80834,6),(80835,4),(80836,4),(80837,9),(80838,3),(80839,3),(80840,8),(80841,9),(80842,4),(80843,9),(80844,2),(80845,6),(80846,6),(80847,9),(80848,9),(80849,1),(80850,1),(80851,5),(80852,3),(80853,2),(80854,4),(80855,1),(80856,5),(80857,8),(80858,5),(80859,1),(80860,7),(80861,5),(80862,3),(80863,1),(80864,4),(80865,5),(80866,3),(80867,3),(80868,3),(80869,5),(80870,2),(80871,3),(80872,6),(80873,5),(80874,5),(80875,1),(80876,1),(80877,6),(80878,4),(80879,3),(80880,2),(80881,8),(80882,4),(80883,7),(80884,4),(80885,1),(80886,5),(80887,9),(80888,1),(80889,8),(80890,5),(80891,3),(80892,9),(80893,8),(80894,6),(80895,3),(80896,8),(80897,9),(80898,2),(80899,6),(80900,2),(80901,4),(80902,6),(80903,7),(80904,2),(80905,7),(80906,7),(80907,4),(80908,7),(80909,7),(80910,4),(80911,4),(80912,2),(80913,3),(80914,3),(80915,6),(80916,1),(80917,3),(80918,1),(80919,7),(80920,3),(80921,8),(80922,3),(80923,5),(80924,6),(80925,5),(80926,1),(80927,2),(80928,9),(80929,1),(80930,4),(80931,3),(80932,7),(80933,3),(80934,6),(80935,4),(80936,9),(80937,2),(80938,9),(80939,7),(80940,3),(80941,3),(80942,5),(80943,2),(80944,9),(80945,1),(80946,7),(80947,3),(80948,7),(80949,5),(80950,2),(80951,9),(80952,8),(80953,3),(80954,6),(80955,3),(80956,9),(80957,1),(80958,9),(80959,1),(80960,9),(80961,5),(80962,3),(80963,1),(80964,8),(80965,1),(80966,5),(80967,6),(80968,6),(80969,6),(80970,3),(80971,6),(80972,5),(80973,3),(80974,6),(80975,2),(80976,3),(80977,6),(80978,5),(80979,9),(80980,1),(80981,1),(80982,9),(80983,6),(80984,2),(80985,5),(80986,2),(80987,9),(80988,9),(80989,3),(80990,7),(80991,2),(80992,8),(80993,7),(80994,9),(80995,4),(80996,3),(80997,1),(80998,4),(80999,2),(81000,5),(81001,1),(81002,5),(81003,3),(81004,1),(81005,6),(81006,5),(81007,1),(81008,6),(81009,1),(81010,5),(81011,8),(81012,8),(81013,7),(81014,8),(81015,8),(81016,2),(81017,4),(81018,4),(81019,9),(81020,5),(81021,4),(81022,9),(81023,2),(81024,1),(81025,9),(81026,7),(81027,2),(81028,9),(81029,3),(81030,4),(81031,6),(81032,7),(81033,7),(81034,3),(81035,8),(81036,6),(81037,7),(81038,4),(81039,3),(81040,1),(81041,9),(81042,9),(81043,6),(81044,2),(81045,9),(81046,9),(81047,4),(81048,6),(81049,6),(81050,7),(81051,1),(81052,8),(81053,8),(81054,6),(81055,9),(81056,7),(81057,7),(81058,1),(81059,2),(81060,6),(81061,5),(81062,7),(81063,2),(81064,3),(81065,1),(81066,2),(81067,8),(81068,3),(81069,4),(81070,7),(81071,9),(81072,1),(81073,3),(81074,5),(81075,9),(81076,5),(81077,9),(81078,6),(81079,4),(81080,6),(81081,7),(81082,7),(81083,7),(81084,4),(81085,5),(81086,5),(81087,5),(81088,9),(81089,4),(81090,5),(81091,2),(81092,6),(81093,1),(81094,6),(81095,9),(81096,3),(81097,7),(81098,4),(81099,7),(81100,9),(81101,2),(81102,1),(81103,3),(81104,2),(81105,5),(81106,2),(81107,8),(81108,7),(81109,5),(81110,1),(81111,4),(81112,2),(81113,3),(81114,7),(81115,2),(81116,6),(81117,6),(81118,3),(81119,5),(81120,4),(81121,2),(81122,7),(81123,6),(81124,1),(81125,4),(81126,3),(81127,6),(81128,4),(81129,3),(81130,6),(81131,2),(81132,8),(81133,8),(81134,4),(81135,9),(81136,9),(81137,4),(81138,9),(81139,3),(81140,7),(81141,3),(81142,3),(81143,3),(81144,7),(81145,2),(81146,6),(81147,8),(81148,4),(81149,8),(81150,8),(81151,9),(81152,2),(81153,7),(81154,1),(81155,9),(81156,3),(81157,6),(81158,5),(81159,9),(81160,6),(81161,5),(81162,5),(81163,9),(81164,5),(81165,9),(81166,2),(81167,3),(81168,4),(81169,2),(81170,1),(81171,9),(81172,3),(81173,1),(81174,9),(81175,4),(81176,9),(81177,2),(81178,5),(81179,3),(81180,3),(81181,3),(81182,7),(81183,5),(81184,4),(81185,6),(81186,8),(81187,3),(81188,7),(81189,5),(81190,9),(81191,2),(81192,6),(81193,9),(81194,7),(81195,8),(81196,5),(81197,2),(81198,9),(81199,4),(81200,3),(81201,3),(81202,8),(81203,5),(81204,9),(81205,8),(81206,6),(81207,1),(81208,7),(81209,1),(81210,7),(81211,6),(81212,7),(81213,2),(81214,1),(81215,4),(81216,8),(81217,3),(81218,4),(81219,5),(81220,7),(81221,9),(81222,8),(81223,4),(81224,1),(81225,9),(81226,9),(81227,8),(81228,3),(81229,3),(81230,4),(81231,3),(81232,9),(81233,4),(81234,6),(81235,7),(81236,7),(81237,4),(81238,2),(81239,7),(81240,6),(81241,3),(81242,5),(81243,4),(81244,4),(81245,1),(81246,6),(81247,7),(81248,3),(81249,8),(81250,2),(81251,9),(81252,9),(81253,9),(81254,2),(81255,8),(81256,8),(81257,7),(81258,5),(81259,1),(81260,1),(81261,5),(81262,8),(81263,8),(81264,9),(81265,9),(81266,7),(81267,8),(81268,1),(81269,5),(81270,5),(81271,4),(81272,7),(81273,6),(81274,4),(81275,1),(81276,5),(81277,5),(81278,5),(81279,3),(81280,1),(81281,3),(81282,5),(81283,2),(81284,4),(81285,8),(81286,1),(81287,7),(81288,5),(81289,9),(81290,1),(81291,3),(81292,6),(81293,5),(81294,1),(81295,5),(81296,1),(81297,4),(81298,3),(81299,2),(81300,1),(81301,6),(81302,8),(81303,9),(81304,5),(81305,6),(81306,3),(81307,9),(81308,2),(81309,5),(81310,5),(81311,8),(81312,7),(81313,3),(81314,1),(81315,3),(81316,3),(81317,7),(81318,4),(81319,7),(81320,1),(81321,9),(81322,3),(81323,5),(81324,5),(81325,3),(81326,3),(81327,6),(81328,6),(81329,7),(81330,1),(81331,2),(81332,9),(81333,3),(81334,2),(81335,7),(81336,3),(81337,9),(81338,7),(81339,1),(81340,4),(81341,9),(81342,9),(81343,8),(81344,6),(81345,5),(81346,6),(81347,6),(81348,4),(81349,8),(81350,9),(81351,8),(81352,7),(81353,5),(81354,4),(81355,6),(81356,6),(81357,5),(81358,1),(81359,6),(81360,7),(81361,7),(81362,8),(81363,1),(81364,9),(81365,3),(81366,1),(81367,3),(81368,1),(81369,1),(81370,3),(81371,2),(81372,3),(81373,8),(81374,7),(81375,8),(81376,1),(81377,8),(81378,4),(81379,2),(81380,2),(81381,1),(81382,4),(81383,6),(81384,9),(81385,2),(81386,8),(81387,4),(81388,1),(81389,8),(81390,6),(81391,1),(81392,9),(81393,5),(81394,6),(81395,9),(81396,1),(81397,8),(81398,4),(81399,2),(81400,3),(81401,8),(81402,6),(81403,4),(81404,1),(81405,8),(81406,8),(81407,1),(81408,4),(81409,9),(81410,6),(81411,8),(81412,6),(81413,2),(81414,4),(81415,2),(81416,1),(81417,3),(81418,7),(81419,6),(81420,8),(81421,8),(81422,1),(81423,2),(81424,4),(81425,3),(81426,7),(81427,7),(81428,2),(81429,6),(81430,4),(81431,7),(81432,1),(81433,7),(81434,7),(81435,5),(81436,7),(81437,5),(81438,8),(81439,8),(81440,5),(81441,5),(81442,7),(81443,1),(81444,6),(81445,1),(81446,2),(81447,7),(81448,9),(81449,5),(81450,6),(81451,8),(81452,2),(81453,3),(81454,8),(81455,5),(81456,6),(81457,1),(81458,3),(81459,4),(81460,2),(81461,4),(81462,1),(81463,9),(81464,1),(81465,6),(81466,8),(81467,6),(81468,7),(81469,8),(81470,5),(81471,7),(81472,7),(81473,1),(81474,4),(81475,9),(81476,9),(81477,5),(81478,6),(81479,1),(81480,9),(81481,4),(81482,8),(81483,9),(81484,4),(81485,7),(81486,7),(81487,5),(81488,3),(81489,8),(81490,6),(81491,6),(81492,4),(81493,6),(81494,6),(81495,6),(81496,4),(81497,2),(81498,5),(81499,2),(81500,3),(81501,9),(81502,7),(81503,7),(81504,6),(81505,1),(81506,2),(81507,5),(81508,9),(81509,6),(81510,4),(81511,4),(81512,5),(81513,6),(81514,7),(81515,6),(81516,5),(81517,7),(81518,3),(81519,6),(81520,1),(81521,6),(81522,4),(81523,3),(81524,1),(81525,8),(81526,2),(81527,1),(81528,7),(81529,9),(81530,1),(81531,5),(81532,9),(81533,7),(81534,2),(81535,4),(81536,4),(81537,9),(81538,7),(81539,5),(81540,8),(81541,5),(81542,5),(81543,5),(81544,4),(81545,3),(81546,7),(81547,2),(81548,2),(81549,2),(81550,3),(81551,5),(81552,1),(81553,7),(81554,1),(81555,8),(81556,2),(81557,8),(81558,3),(81559,3),(81560,6),(81561,3),(81562,2),(81563,5),(81564,4),(81565,6),(81566,9),(81567,7),(81568,1),(81569,4),(81570,3),(81571,7),(81572,4),(81573,1),(81574,4),(81575,5),(81576,2),(81577,1),(81578,7),(81579,6),(81580,3),(81581,4),(81582,2),(81583,4),(81584,9),(81585,8),(81586,1),(81587,7),(81588,6),(81589,9),(81590,7),(81591,2),(81592,3),(81593,4),(81594,4),(81595,5),(81596,6),(81597,5),(81598,4),(81599,6),(81600,4),(81601,2),(81602,7),(81603,3),(81604,7),(81605,7),(81606,7),(81607,3),(81608,5),(81609,5),(81610,3),(81611,9),(81612,1),(81613,6),(81614,8),(81615,1),(81616,5),(81617,4),(81618,1),(81619,6),(81620,9),(81621,9),(81622,5),(81623,9),(81624,4),(81625,1),(81626,5),(81627,3),(81628,8),(81629,9),(81630,5),(81631,7),(81632,1),(81633,3),(81634,8),(81635,4),(81636,6),(81637,9),(81638,7),(81639,5),(81640,5),(81641,9),(81642,8),(81643,9),(81644,2),(81645,7),(81646,7),(81647,6),(81648,7),(81649,6),(81650,3),(81651,6),(81652,5),(81653,9),(81654,4),(81655,7),(81656,7),(81657,1),(81658,4),(81659,3),(81660,1),(81661,9),(81662,1),(81663,6),(81664,6),(81665,2),(81666,8),(81667,7),(81668,7),(81669,8),(81670,9),(81671,9),(81672,6),(81673,8),(81674,2),(81675,7),(81676,3),(81677,8),(81678,4),(81679,4),(81680,7),(81681,6),(81682,5),(81683,1),(81684,8),(81685,7),(81686,9),(81687,1),(81688,9),(81689,1),(81690,3),(81691,3),(81692,3),(81693,8),(81694,9),(81695,5),(81696,5),(81697,7),(81698,5),(81699,1),(81700,8),(81701,8),(81702,4),(81703,9),(81704,3),(81705,3),(81706,3),(81707,3),(81708,6),(81709,2),(81710,8),(81711,6),(81712,4),(81713,6),(81714,7),(81715,3),(81716,9),(81717,6),(81718,7),(81719,9),(81720,5),(81721,5),(81722,3),(81723,5),(81724,2),(81725,1),(81726,4),(81727,9),(81728,5),(81729,9),(81730,2),(81731,6),(81732,7),(81733,5),(81734,6),(81735,3),(81736,3),(81737,2),(81738,2),(81739,1),(81740,4),(81741,9),(81742,6),(81743,2),(81744,1),(81745,1),(81746,3),(81747,4),(81748,3),(81749,4),(81750,6),(81751,1),(81752,3),(81753,4),(81754,8),(81755,6),(81756,5),(81757,9),(81758,8),(81759,7),(81760,1),(81761,4),(81762,5),(81763,1),(81764,4),(81765,4),(81766,7),(81767,5),(81768,1),(81769,9),(81770,9),(81771,8),(81772,1),(81773,5),(81774,6),(81775,5),(81776,2),(81777,9),(81778,1),(81779,7),(81780,2),(81781,7),(81782,2),(81783,2),(81784,7),(81785,3),(81786,7),(81787,1),(81788,5),(81789,1),(81790,6),(81791,6),(81792,8),(81793,2),(81794,2),(81795,5),(81796,6),(81797,4),(81798,3),(81799,2),(81800,8),(81801,1),(81802,7),(81803,4),(81804,3),(81805,6),(81806,9),(81807,3),(81808,8),(81809,9),(81810,4),(81811,4),(81812,5),(81813,6),(81814,6),(81815,1),(81816,5),(81817,9),(81818,3),(81819,4),(81820,9),(81821,4),(81822,5),(81823,5),(81824,7),(81825,6),(81826,5),(81827,7),(81828,8),(81829,7),(81830,3),(81831,9),(81832,8),(81833,5),(81834,8),(81835,4),(81836,9),(81837,6),(81838,8),(81839,2),(81840,5),(81841,4),(81842,1),(81843,3),(81844,6),(81845,8),(81846,5),(81847,5),(81848,6),(81849,8),(81850,2),(81851,8),(81852,6),(81853,4),(81854,1),(81855,4),(81856,8),(81857,1),(81858,5),(81859,5),(81860,1),(81861,5),(81862,9),(81863,3),(81864,4),(81865,4),(81866,8),(81867,4),(81868,2),(81869,1),(81870,7),(81871,9),(81872,4),(81873,9),(81874,4),(81875,8),(81876,4),(81877,9),(81878,8),(81879,7),(81880,9),(81881,6),(81882,8),(81883,3),(81884,8),(81885,5),(81886,5),(81887,3),(81888,4),(81889,7),(81890,8),(81891,4),(81892,4),(81893,9),(81894,4),(81895,5),(81896,4),(81897,7),(81898,3),(81899,3),(81900,4),(81901,7),(81902,6),(81903,2),(81904,3),(81905,2),(81906,3),(81907,8),(81908,1),(81909,4),(81910,6),(81911,1),(81912,6),(81913,1),(81914,8),(81915,3),(81916,6),(81917,5),(81918,9),(81919,9),(81920,7),(81921,3),(81922,6),(81923,3),(81924,8),(81925,7),(81926,5),(81927,5),(81928,2),(81929,1),(81930,2),(81931,7),(81932,5),(81933,7),(81934,1),(81935,1),(81936,1),(81937,6),(81938,3),(81939,8),(81940,8),(81941,5),(81942,8),(81943,2),(81944,8),(81945,1),(81946,4),(81947,8),(81948,6),(81949,1),(81950,2),(81951,1),(81952,9),(81953,3),(81954,4),(81955,7),(81956,8),(81957,9),(81958,4),(81959,8),(81960,2),(81961,9),(81962,3),(81963,9),(81964,4),(81965,3),(81966,6),(81967,3),(81968,8),(81969,7),(81970,9),(81971,6),(81972,5),(81973,9),(81974,2),(81975,8),(81976,1),(81977,5),(81978,3),(81979,4),(81980,2),(81981,8),(81982,9),(81983,5),(81984,4),(81985,7),(81986,3),(81987,5),(81988,5),(81989,9),(81990,8),(81991,1),(81992,1),(81993,6),(81994,3),(81995,7),(81996,6),(81997,9),(81998,1),(81999,1),(82000,3),(82001,2),(82002,2),(82003,2),(82004,6),(82005,5),(82006,8),(82007,1),(82008,4),(82009,4),(82010,3),(82011,5),(82012,7),(82013,6),(82014,2),(82015,3),(82016,7),(82017,3),(82018,9),(82019,7),(82020,2),(82021,4),(82022,6),(82023,5),(82024,9),(82025,5),(82026,4),(82027,1),(82028,2),(82029,4),(82030,9),(82031,5),(82032,5),(82033,3),(82034,7),(82035,5),(82036,8),(82037,6),(82038,5),(82039,7),(82040,2),(82041,3),(82042,2),(82043,9),(82044,3),(82045,4),(82046,1),(82047,8),(82048,6),(82049,9),(82050,9),(82051,2),(82052,4),(82053,7),(82054,6),(82055,8),(82056,9),(82057,8),(82058,7),(82059,1),(82060,1),(82061,6),(82062,4),(82063,1),(82064,7),(82065,4),(82066,5),(82067,3),(82068,5),(82069,2),(82070,9),(82071,8),(82072,7),(82073,4),(82074,3),(82075,5),(82076,7),(82077,7),(82078,4),(82079,4),(82080,5),(82081,1),(82082,9),(82083,8),(82084,4),(82085,2),(82086,1),(82087,8),(82088,2),(82089,3),(82090,1),(82091,5),(82092,6),(82093,5),(82094,7),(82095,1),(82096,2),(82097,2),(82098,9),(82099,6),(82100,2),(82101,2),(82102,2),(82103,4),(82104,1),(82105,7),(82106,3),(82107,9),(82108,1),(82109,5),(82110,4),(82111,4),(82112,9),(82113,6),(82114,6),(82115,6),(82116,8),(82117,6),(82118,8),(82119,1),(82120,6),(82121,2),(82122,8),(82123,6),(82124,5),(82125,4),(82126,5),(82127,6),(82128,2),(82129,9),(82130,5),(82131,9),(82132,5),(82133,3),(82134,2),(82135,1),(82136,1),(82137,5),(82138,1),(82139,8),(82140,4),(82141,4),(82142,3),(82143,7),(82144,8),(82145,9),(82146,1),(82147,2),(82148,5),(82149,7),(82150,9),(82151,1),(82152,2),(82153,7),(82154,5),(82155,9),(82156,1),(82157,3),(82158,5),(82159,6),(82160,1),(82161,2),(82162,6),(82163,1),(82164,6),(82165,5),(82166,1),(82167,3),(82168,3),(82169,7),(82170,9),(82171,6),(82172,1),(82173,5),(82174,5),(82175,2),(82176,1),(82177,2),(82178,8),(82179,3),(82180,1),(82181,1),(82182,1),(82183,5),(82184,7),(82185,3),(82186,2),(82187,1),(82188,3),(82189,2),(82190,8),(82191,6),(82192,7),(82193,6),(82194,5),(82195,5),(82196,7),(82197,3),(82198,5),(82199,4),(82200,1),(82201,1),(82202,3),(82203,2),(82204,1),(82205,3),(82206,7),(82207,9),(82208,7),(82209,4),(82210,5),(82211,3),(82212,7),(82213,9),(82214,1),(82215,7),(82216,5),(82217,9),(82218,9),(82219,9),(82220,4),(82221,9),(82222,4),(82223,1),(82224,7),(82225,5),(82226,5),(82227,4),(82228,9),(82229,1),(82230,3),(82231,4),(82232,2),(82233,5),(82234,1),(82235,8),(82236,4),(82237,1),(82238,9),(82239,6),(82240,8),(82241,8),(82242,2),(82243,7),(82244,8),(82245,8),(82246,6),(82247,5),(82248,1),(82249,9),(82250,6),(82251,1),(82252,4),(82253,6),(82254,8),(82255,4),(82256,7),(82257,9),(82258,6),(82259,1),(82260,8),(82261,7),(82262,6),(82263,5),(82264,5),(82265,3),(82266,1),(82267,1),(82268,6),(82269,5),(82270,7),(82271,9),(82272,4),(82273,4),(82274,4),(82275,6),(82276,7),(82277,9),(82278,3),(82279,8),(82280,6),(82281,8),(82282,1),(82283,6),(82284,9),(82285,1),(82286,6),(82287,7),(82288,7),(82289,3),(82290,8),(82291,7),(82292,3),(82293,3),(82294,1),(82295,5),(82296,6),(82297,2),(82298,8),(82299,1),(82300,3),(82301,2),(82302,1),(82303,9),(82304,3),(82305,9),(82306,7),(82307,3),(82308,3),(82309,2),(82310,7),(82311,7),(82312,6),(82313,3),(82314,3),(82315,9),(82316,9),(82317,5),(82318,6),(82319,8),(82320,2),(82321,7),(82322,5),(82323,1),(82324,2),(82325,1),(82326,4),(82327,8),(82328,2),(82329,4),(82330,5),(82331,2),(82332,4),(82333,1),(82334,7),(82335,1),(82336,7),(82337,2),(82338,5),(82339,5),(82340,9),(82341,6),(82342,4),(82343,1),(82344,3),(82345,2),(82346,7),(82347,8),(82348,9),(82349,9),(82350,8),(82351,1),(82352,6),(82353,5),(82354,5),(82355,5),(82356,8),(82357,8),(82358,3),(82359,5),(82360,1),(82361,4),(82362,7),(82363,9),(82364,4),(82365,8),(82366,2),(82367,2),(82368,8),(82369,4),(82370,7),(82371,3),(82372,9),(82373,2),(82374,4),(82375,9),(82376,4),(82377,8),(82378,1),(82379,8),(82380,5),(82381,3),(82382,6),(82383,3),(82384,8),(82385,5),(82386,2),(82387,7),(82388,5),(82389,2),(82390,6),(82391,9),(82392,9),(82393,5),(82394,3),(82395,2),(82396,6),(82397,3),(82398,1),(82399,5),(82400,3),(82401,4),(82402,5),(82403,9),(82404,3),(82405,1),(82406,5),(82407,4),(82408,2),(82409,9),(82410,8),(82411,7),(82412,8),(82413,1),(82414,7),(82415,5),(82416,3),(82417,1),(82418,2),(82419,8),(82420,5),(82421,7),(82422,8),(82423,6),(82424,7),(82425,3),(82426,5),(82427,2),(82428,6),(82429,9),(82430,9),(82431,7),(82432,2),(82433,9),(82434,5),(82435,5),(82436,3),(82437,4),(82438,4),(82439,3),(82440,1),(82441,1),(82442,3),(82443,1),(82444,3),(82445,5),(82446,3),(82447,8),(82448,2),(82449,7),(82450,6),(82451,2),(82452,5),(82453,2),(82454,7),(82455,4),(82456,1),(82457,2),(82458,8),(82459,7),(82460,8),(82461,3),(82462,1),(82463,3),(82464,3),(82465,2),(82466,6),(82467,4),(82468,1),(82469,5),(82470,6),(82471,4),(82472,2),(82473,2),(82474,2),(82475,7),(82476,4),(82477,6),(82478,6),(82479,1),(82480,4),(82481,4),(82482,2),(82483,4),(82484,7),(82485,8),(82486,9),(82487,2),(82488,7),(82489,2),(82490,6),(82491,2),(82492,2),(82493,4),(82494,3),(82495,9),(82496,6),(82497,8),(82498,2),(82499,6),(82500,2),(82501,3),(82502,6),(82503,4),(82504,8),(82505,9),(82506,7),(82507,6),(82508,5),(82509,5),(82510,1),(82511,7),(82512,2),(82513,3),(82514,2),(82515,8),(82516,7),(82517,4),(82518,9),(82519,1),(82520,9),(82521,6),(82522,4),(82523,9),(82524,6),(82525,8),(82526,6),(82527,7),(82528,1),(82529,1),(82530,8),(82531,8),(82532,8),(82533,3),(82534,8),(82535,1),(82536,2),(82537,3),(82538,9),(82539,3),(82540,8),(82541,7),(82542,1),(82543,5),(82544,7),(82545,6),(82546,1),(82547,1),(82548,1),(82549,8),(82550,7),(82551,2),(82552,1),(82553,6),(82554,4),(82555,8),(82556,1),(82557,7),(82558,7),(82559,9),(82560,1),(82561,1),(82562,5),(82563,8),(82564,8),(82565,9),(82566,4),(82567,2),(82568,4),(82569,5),(82570,8),(82571,2),(82572,3),(82573,2),(82574,4),(82575,6),(82576,2),(82577,4),(82578,8),(82579,8),(82580,8),(82581,1),(82582,8),(82583,4),(82584,2),(82585,4),(82586,2),(82587,1),(82588,8),(82589,7),(82590,8),(82591,8),(82592,2),(82593,8),(82594,9),(82595,7),(82596,3),(82597,5),(82598,9),(82599,8),(82600,1),(82601,6),(82602,4),(82603,6),(82604,7),(82605,5),(82606,4),(82607,7),(82608,7),(82609,7),(82610,5),(82611,2),(82612,8),(82613,8),(82614,7),(82615,4),(82616,1),(82617,8),(82618,1),(82619,4),(82620,5),(82621,1),(82622,1),(82623,4),(82624,7),(82625,3),(82626,2),(82627,4),(82628,4),(82629,1),(82630,6),(82631,8),(82632,5),(82633,6),(82634,9),(82635,1),(82636,4),(82637,8),(82638,8),(82639,8),(82640,6),(82641,5),(82642,9),(82643,1),(82644,4),(82645,3),(82646,2),(82647,6),(82648,4),(82649,1),(82650,9),(82651,3),(82652,5),(82653,1),(82654,7),(82655,8),(82656,4),(82657,8),(82658,3),(82659,9),(82660,9),(82661,8),(82662,4),(82663,7),(82664,4),(82665,3),(82666,9),(82667,6),(82668,6),(82669,5),(82670,1),(82671,8),(82672,4),(82673,1),(82674,8),(82675,3),(82676,3),(82677,1),(82678,9),(82679,7),(82680,8),(82681,1),(82682,2),(82683,4),(82684,5),(82685,2),(82686,2),(82687,6),(82688,4),(82689,7),(82690,6),(82691,9),(82692,7),(82693,4),(82694,7),(82695,4),(82696,9),(82697,9),(82698,8),(82699,6),(82700,4),(82701,4),(82702,5),(82703,6),(82704,7),(82705,5),(82706,5),(82707,6),(82708,8),(82709,1),(82710,9),(82711,4),(82712,9),(82713,9),(82714,9),(82715,6),(82716,8),(82717,5),(82718,8),(82719,2),(82720,7),(82721,1),(82722,2),(82723,5),(82724,7),(82725,7),(82726,3),(82727,3),(82728,2),(82729,1),(82730,6),(82731,4),(82732,4),(82733,6),(82734,7),(82735,6),(82736,9),(82737,4),(82738,3),(82739,7),(82740,4),(82741,3),(82742,6),(82743,6),(82744,9),(82745,4),(82746,8),(82747,7),(82748,8),(82749,9),(82750,9),(82751,5),(82752,3),(82753,1),(82754,1),(82755,2),(82756,6),(82757,1),(82758,8),(82759,3),(82760,3),(82761,4),(82762,8),(82763,5),(82764,9),(82765,6),(82766,5),(82767,6),(82768,6),(82769,1),(82770,3),(82771,3),(82772,8),(82773,8),(82774,3),(82775,5),(82776,9),(82777,8),(82778,2),(82779,3),(82780,3),(82781,3),(82782,7),(82783,8),(82784,9),(82785,8),(82786,9),(82787,6),(82788,1),(82789,2),(82790,1),(82791,9),(82792,4),(82793,6),(82794,4),(82795,6),(82796,2),(82797,6),(82798,6),(82799,2),(82800,8),(82801,9),(82802,7),(82803,6),(82804,8),(82805,1),(82806,7),(82807,1),(82808,3),(82809,7),(82810,6),(82811,8),(82812,6),(82813,8),(82814,2),(82815,5),(82816,5),(82817,8),(82818,4),(82819,8),(82820,3),(82821,4),(82822,7),(82823,8),(82824,4),(82825,9),(82826,5),(82827,3),(82828,7),(82829,4),(82830,8),(82831,8),(82832,9),(82833,8),(82834,8),(82835,7),(82836,8),(82837,4),(82838,6),(82839,7),(82840,1),(82841,3),(82842,4),(82843,1),(82844,5),(82845,7),(82846,4),(82847,7),(82848,7),(82849,5),(82850,4),(82851,6),(82852,6),(82853,5),(82854,8),(82855,4),(82856,1),(82857,8),(82858,3),(82859,3),(82860,5),(82861,3),(82862,8),(82863,8),(82864,2),(82865,4),(82866,6),(82867,4),(82868,6),(82869,9),(82870,9),(82871,7),(82872,2),(82873,4),(82874,8),(82875,7),(82876,8),(82877,8),(82878,6),(82879,6),(82880,1),(82881,1),(82882,6),(82883,3),(82884,8),(82885,5),(82886,1),(82887,3),(82888,2),(82889,7),(82890,4),(82891,2),(82892,8),(82893,7),(82894,7),(82895,5),(82896,7),(82897,8),(82898,1),(82899,2),(82900,4),(82901,6),(82902,6),(82903,4),(82904,3),(82905,8),(82906,6),(82907,8),(82908,5),(82909,2),(82910,3),(82911,7),(82912,9),(82913,6),(82914,1),(82915,7),(82916,8),(82917,3),(82918,1),(82919,6),(82920,5),(82921,8),(82922,8),(82923,8),(82924,4),(82925,3),(82926,4),(82927,6),(82928,2),(82929,7),(82930,5),(82931,5),(82932,4),(82933,4),(82934,7),(82935,1),(82936,2),(82937,6),(82938,3),(82939,2),(82940,8),(82941,2),(82942,6),(82943,9),(82944,6),(82945,8),(82946,9),(82947,8),(82948,2),(82949,9),(82950,8),(82951,5),(82952,7),(82953,5),(82954,9),(82955,2),(82956,4),(82957,9),(82958,5),(82959,1),(82960,6),(82961,7),(82962,5),(82963,2),(82964,2),(82965,3),(82966,4),(82967,4),(82968,3),(82969,5),(82970,4),(82971,2),(82972,9),(82973,5),(82974,2),(82975,2),(82976,3),(82977,9),(82978,9),(82979,9),(82980,4),(82981,9),(82982,7),(82983,4),(82984,4),(82985,3),(82986,4),(82987,5),(82988,2),(82989,9),(82990,9),(82991,5),(82992,8),(82993,5),(82994,9),(82995,9),(82996,8),(82997,7),(82998,1),(82999,7),(83000,5),(83001,6),(83002,6),(83003,2),(83004,9),(83005,8),(83006,4),(83007,2),(83008,3),(83009,7),(83010,6),(83011,1),(83012,5),(83013,3),(83014,9),(83015,2),(83016,4),(83017,8),(83018,7),(83019,5),(83020,8),(83021,6),(83022,9),(83023,2),(83024,8),(83025,7),(83026,5),(83027,2),(83028,7),(83029,1),(83030,8),(83031,1),(83032,9),(83033,5),(83034,3),(83035,5),(83036,4),(83037,4),(83038,8),(83039,6),(83040,1),(83041,9),(83042,7),(83043,2),(83044,9),(83045,7),(83046,7),(83047,8),(83048,9),(83049,3),(83050,2),(83051,7),(83052,1),(83053,1),(83054,1),(83055,6),(83056,5),(83057,2),(83058,9),(83059,7),(83060,6),(83061,6),(83062,5),(83063,8),(83064,3),(83065,7),(83066,1),(83067,7),(83068,4),(83069,3),(83070,6),(83071,7),(83072,6),(83073,2),(83074,1),(83075,5),(83076,3),(83077,9),(83078,6),(83079,5),(83080,2),(83081,4),(83082,4),(83083,8),(83084,1),(83085,5),(83086,1),(83087,2),(83088,3),(83089,2),(83090,1),(83091,9),(83092,8),(83093,7),(83094,4),(83095,1),(83096,9),(83097,9),(83098,4),(83099,7),(83100,3),(83101,1),(83102,9),(83103,7),(83104,4),(83105,2),(83106,2),(83107,3),(83108,5),(83109,7),(83110,1),(83111,9),(83112,6),(83113,4),(83114,9),(83115,5),(83116,6),(83117,7),(83118,7),(83119,5),(83120,6),(83121,5),(83122,2),(83123,9),(83124,9),(83125,7),(83126,4),(83127,8),(83128,4),(83129,5),(83130,3),(83131,6),(83132,5),(83133,3),(83134,7),(83135,7),(83136,3),(83137,1),(83138,9),(83139,4),(83140,8),(83141,9),(83142,3),(83143,1),(83144,3),(83145,7),(83146,3),(83147,4),(83148,4),(83149,5),(83150,8),(83151,5),(83152,6),(83153,9),(83154,4),(83155,9),(83156,2),(83157,8),(83158,3),(83159,6),(83160,1),(83161,4),(83162,5),(83163,3),(83164,7),(83165,6),(83166,5),(83167,9),(83168,1),(83169,4),(83170,5),(83171,1),(83172,3),(83173,2),(83174,4),(83175,9),(83176,1),(83177,5),(83178,6),(83179,6),(83180,8),(83181,2),(83182,1),(83183,4),(83184,8),(83185,3),(83186,3),(83187,3),(83188,5),(83189,3),(83190,2),(83191,3),(83192,6),(83193,4),(83194,8),(83195,8),(83196,7),(83197,6),(83198,6),(83199,6),(83200,9),(83201,2),(83202,1),(83203,6),(83204,7),(83205,7),(83206,8),(83207,1),(83208,1),(83209,3),(83210,5),(83211,9),(83212,5),(83213,9),(83214,3),(83215,8),(83216,7),(83217,9),(83218,8),(83219,2),(83220,6),(83221,8),(83222,5),(83223,7),(83224,6),(83225,7),(83226,5),(83227,9),(83228,8),(83229,3),(83230,2),(83231,7),(83232,4),(83233,6),(83234,2),(83235,3),(83236,8),(83237,5),(83238,9),(83239,5),(83240,8),(83241,9),(83242,6),(83243,4),(83244,7),(83245,1),(83246,6),(83247,9),(83248,5),(83249,3),(83250,6),(83251,8),(83252,6),(83253,4),(83254,8),(83255,3),(83256,1),(83257,5),(83258,8),(83259,9),(83260,6),(83261,4),(83262,2),(83263,4),(83264,5),(83265,6),(83266,8),(83267,2),(83268,3),(83269,5),(83270,9),(83271,1),(83272,2),(83273,6),(83274,4),(83275,5),(83276,3),(83277,3),(83278,7),(83279,3),(83280,1),(83281,2),(83282,6),(83283,7),(83284,9),(83285,8),(83286,9),(83287,9),(83288,3),(83289,4),(83290,6),(83291,7),(83292,2),(83293,5),(83294,8),(83295,9),(83296,4),(83297,2),(83298,2),(83299,9),(83300,1),(83301,7),(83302,8),(83303,2),(83304,5),(83305,6),(83306,1),(83307,9),(83308,2),(83309,5),(83310,2),(83311,2),(83312,3),(83313,1),(83314,5),(83315,4),(83316,2),(83317,3),(83318,2),(83319,4),(83320,4),(83321,2),(83322,5),(83323,7),(83324,6),(83325,8),(83326,9),(83327,3),(83328,1),(83329,7),(83330,3),(83331,5),(83332,8),(83333,9),(83334,8),(83335,4),(83336,5),(83337,7),(83338,1),(83339,8),(83340,8),(83341,3),(83342,1),(83343,1),(83344,6),(83345,7),(83346,8),(83347,8),(83348,4),(83349,7),(83350,8),(83351,8),(83352,5),(83353,9),(83354,5),(83355,1),(83356,8),(83357,7),(83358,6),(83359,2),(83360,5),(83361,7),(83362,8),(83363,7),(83364,6),(83365,8),(83366,6),(83367,3),(83368,1),(83369,8),(83370,3),(83371,2),(83372,9),(83373,7),(83374,3),(83375,6),(83376,9),(83377,5),(83378,8),(83379,9),(83380,2),(83381,8),(83382,6),(83383,7),(83384,6),(83385,6),(83386,7),(83387,4),(83388,9),(83389,5),(83390,9),(83391,3),(83392,8),(83393,5),(83394,5),(83395,4),(83396,8),(83397,1),(83398,2),(83399,1),(83400,7),(83401,3),(83402,1),(83403,4),(83404,6),(83405,3),(83406,4),(83407,3),(83408,6),(83409,2),(83410,9),(83411,4),(83412,8),(83413,6),(83414,2),(83415,9),(83416,6),(83417,6),(83418,4),(83419,4),(83420,1),(83421,8),(83422,2),(83423,4),(83424,6),(83425,1),(83426,9),(83427,6),(83428,5),(83429,3),(83430,5),(83431,3),(83432,5),(83433,9),(83434,5),(83435,3),(83436,2),(83437,5),(83438,9),(83439,9),(83440,3),(83441,6),(83442,2),(83443,7),(83444,6),(83445,6),(83446,1),(83447,4),(83448,5),(83449,8),(83450,2),(83451,9),(83452,2),(83453,2),(83454,6),(83455,9),(83456,6),(83457,3),(83458,1),(83459,2),(83460,9),(83461,4),(83462,8),(83463,2),(83464,4),(83465,1),(83466,7),(83467,9),(83468,8),(83469,2),(83470,5),(83471,1),(83472,3),(83473,3),(83474,1),(83475,5),(83476,6),(83477,9),(83478,9),(83479,6),(83480,2),(83481,1),(83482,4),(83483,5),(83484,9),(83485,7),(83486,3),(83487,4),(83488,1),(83489,9),(83490,2),(83491,8),(83492,5),(83493,7),(83494,4),(83495,1),(83496,6),(83497,8),(83498,1),(83499,3),(83500,7),(83501,4),(83502,6),(83503,4),(83504,9),(83505,5),(83506,2),(83507,8),(83508,6),(83509,8),(83510,9),(83511,3),(83512,7),(83513,8),(83514,8),(83515,4),(83516,8),(83517,9),(83518,1),(83519,3),(83520,2),(83521,9),(83522,7),(83523,6),(83524,8),(83525,1),(83526,4),(83527,7),(83528,2),(83529,6),(83530,9),(83531,6),(83532,6),(83533,3),(83534,3),(83535,9),(83536,7),(83537,4),(83538,8),(83539,7),(83540,8),(83541,6),(83542,7),(83543,1),(83544,7),(83545,1),(83546,1),(83547,5),(83548,3),(83549,5),(83550,1),(83551,8),(83552,6),(83553,4),(83554,3),(83555,3),(83556,9),(83557,8),(83558,6),(83559,3),(83560,9),(83561,2),(83562,4),(83563,3),(83564,3),(83565,4),(83566,2),(83567,1),(83568,8),(83569,9),(83570,4),(83571,2),(83572,2),(83573,4),(83574,8),(83575,3),(83576,5),(83577,8),(83578,7),(83579,4),(83580,9),(83581,2),(83582,2),(83583,3),(83584,5),(83585,8),(83586,3),(83587,6),(83588,3),(83589,8),(83590,4),(83591,7),(83592,1),(83593,5),(83594,9),(83595,1),(83596,3),(83597,6),(83598,1),(83599,4),(83600,9),(83601,4),(83602,6),(83603,6),(83604,1),(83605,2),(83606,5),(83607,8),(83608,6),(83609,8),(83610,6),(83611,8),(83612,9),(83613,1),(83614,9),(83615,2),(83616,6),(83617,3),(83618,7),(83619,2),(83620,5),(83621,1),(83622,5),(83623,3),(83624,8),(83625,5),(83626,5),(83627,1),(83628,3),(83629,1),(83630,4),(83631,9),(83632,6),(83633,1),(83634,3),(83635,3),(83636,2),(83637,2),(83638,8),(83639,9),(83640,7),(83641,5),(83642,6),(83643,4),(83644,5),(83645,8),(83646,9),(83647,6),(83648,7),(83649,9),(83650,1),(83651,2),(83652,5),(83653,9),(83654,1),(83655,3),(83656,2),(83657,7),(83658,4),(83659,2),(83660,1),(83661,4),(83662,3),(83663,8),(83664,4),(83665,7),(83666,6),(83667,1),(83668,9),(83669,7),(83670,5),(83671,2),(83672,9),(83673,8),(83674,4),(83675,6),(83676,6),(83677,9),(83678,6),(83679,1),(83680,4),(83681,3),(83682,1),(83683,7),(83684,6),(83685,4),(83686,4),(83687,7),(83688,8),(83689,3),(83690,9),(83691,1),(83692,7),(83693,9),(83694,7),(83695,3),(83696,3),(83697,1),(83698,8),(83699,3),(83700,5),(83701,3),(83702,5),(83703,4),(83704,8),(83705,2),(83706,9),(83707,6),(83708,4),(83709,9),(83710,7),(83711,5),(83712,6),(83713,5),(83714,3),(83715,2),(83716,7),(83717,8),(83718,9),(83719,4),(83720,4),(83721,7),(83722,2),(83723,4),(83724,7),(83725,1),(83726,5),(83727,1),(83728,1),(83729,2),(83730,7),(83731,6),(83732,4),(83733,5),(83734,2),(83735,7),(83736,4),(83737,5),(83738,5),(83739,4),(83740,1),(83741,7),(83742,7),(83743,3),(83744,8),(83745,2),(83746,9),(83747,1),(83748,6),(83749,4),(83750,4),(83751,1),(83752,6),(83753,5),(83754,1),(83755,8),(83756,5),(83757,4),(83758,1),(83759,8),(83760,7),(83761,2),(83762,7),(83763,7),(83764,8),(83765,5),(83766,1),(83767,5),(83768,7),(83769,1),(83770,4),(83771,4),(83772,5),(83773,5),(83774,3),(83775,4),(83776,3),(83777,6),(83778,2),(83779,2),(83780,9),(83781,5),(83782,7),(83783,6),(83784,9),(83785,4),(83786,5),(83787,1),(83788,7),(83789,8),(83790,9),(83791,1),(83792,6),(83793,1),(83794,9),(83795,5),(83796,3),(83797,6),(83798,1),(83799,3),(83800,5),(83801,5),(83802,3),(83803,7),(83804,4),(83805,2),(83806,5),(83807,6),(83808,6),(83809,3),(83810,8),(83811,1),(83812,2),(83813,6),(83814,2),(83815,6),(83816,4),(83817,7),(83818,4),(83819,4),(83820,2),(83821,3),(83822,4),(83823,1),(83824,7),(83825,9),(83826,5),(83827,2),(83828,3),(83829,3),(83830,1),(83831,5),(83832,3),(83833,1),(83834,1),(83835,4),(83836,7),(83837,8),(83838,7),(83839,3),(83840,5),(83841,8),(83842,8),(83843,9),(83844,4),(83845,3),(83846,9),(83847,5),(83848,3),(83849,8),(83850,3),(83851,1),(83852,2),(83853,3),(83854,7),(83855,3),(83856,8),(83857,4),(83858,1),(83859,6),(83860,9),(83861,6),(83862,9),(83863,1),(83864,1),(83865,2),(83866,4),(83867,9),(83868,4),(83869,8),(83870,4),(83871,8),(83872,5),(83873,3),(83874,4),(83875,3),(83876,9),(83877,4),(83878,6),(83879,1),(83880,2),(83881,9),(83882,6),(83883,9),(83884,7),(83885,9),(83886,6),(83887,8),(83888,2),(83889,2),(83890,7),(83891,3),(83892,2),(83893,7),(83894,2),(83895,4),(83896,9),(83897,8),(83898,7),(83899,1),(83900,4),(83901,1),(83902,9),(83903,7),(83904,4),(83905,6),(83906,7),(83907,8),(83908,5),(83909,7),(83910,2),(83911,4),(83912,9),(83913,9),(83914,7),(83915,9),(83916,8),(83917,7),(83918,7),(83919,7),(83920,9),(83921,2),(83922,5),(83923,9),(83924,3),(83925,7),(83926,1),(83927,3),(83928,1),(83929,5),(83930,1),(83931,7),(83932,7),(83933,4),(83934,3),(83935,4),(83936,2),(83937,6),(83938,7),(83939,7),(83940,7),(83941,7),(83942,2),(83943,9),(83944,9),(83945,6),(83946,7),(83947,9),(83948,1),(83949,1),(83950,8),(83951,9),(83952,3),(83953,2),(83954,6),(83955,2),(83956,9),(83957,4),(83958,8),(83959,9),(83960,8),(83961,3),(83962,1),(83963,4),(83964,4),(83965,1),(83966,6),(83967,4),(83968,3),(83969,6),(83970,8),(83971,2),(83972,1),(83973,6),(83974,5),(83975,7),(83976,7),(83977,3),(83978,7),(83979,5),(83980,4),(83981,9),(83982,7),(83983,5),(83984,4),(83985,7),(83986,5),(83987,2),(83988,1),(83989,4),(83990,1),(83991,7),(83992,2),(83993,8),(83994,9),(83995,1),(83996,7),(83997,3),(83998,7),(83999,1),(84000,8),(84001,9),(84002,7),(84003,9),(84004,2),(84005,8),(84006,2),(84007,2),(84008,1),(84009,7),(84010,6),(84011,4),(84012,3),(84013,3),(84014,6),(84015,8),(84016,6),(84017,9),(84018,5),(84019,9),(84020,1),(84021,4),(84022,8),(84023,9),(84024,4),(84025,5),(84026,8),(84027,1),(84028,9),(84029,3),(84030,3),(84031,7),(84032,6),(84033,1),(84034,5),(84035,1),(84036,5),(84037,9),(84038,5),(84039,6),(84040,2),(84041,5),(84042,1),(84043,3),(84044,9),(84045,6),(84046,6),(84047,9),(84048,9),(84049,7),(84050,2),(84051,7),(84052,6),(84053,2),(84054,6),(84055,3),(84056,3),(84057,6),(84058,9),(84059,8),(84060,2),(84061,7),(84062,4),(84063,5),(84064,8),(84065,2),(84066,9),(84067,5),(84068,6),(84069,4),(84070,5),(84071,6),(84072,6),(84073,5),(84074,8),(84075,7),(84076,6),(84077,2),(84078,4),(84079,6),(84080,3),(84081,4),(84082,1),(84083,6),(84084,9),(84085,3),(84086,6),(84087,7),(84088,1),(84089,2),(84090,2),(84091,6),(84092,7),(84093,7),(84094,5),(84095,3),(84096,7),(84097,5),(84098,4),(84099,4),(84100,9),(84101,9),(84102,4),(84103,9),(84104,9),(84105,7),(84106,8),(84107,1),(84108,8),(84109,1),(84110,7),(84111,8),(84112,5),(84113,1),(84114,5),(84115,8),(84116,3),(84117,2),(84118,5),(84119,4),(84120,7),(84121,2),(84122,1),(84123,4),(84124,9),(84125,8),(84126,7),(84127,9),(84128,4),(84129,2),(84130,4),(84131,2),(84132,8),(84133,9),(84134,6),(84135,2),(84136,7),(84137,2),(84138,6),(84139,6),(84140,1),(84141,2),(84142,3),(84143,9),(84144,3),(84145,8),(84146,1),(84147,5),(84148,8),(84149,3),(84150,8),(84151,1),(84152,6),(84153,5),(84154,2),(84155,4),(84156,4),(84157,8),(84158,7),(84159,4),(84160,1),(84161,1),(84162,1),(84163,6),(84164,5),(84165,6),(84166,7),(84167,7),(84168,7),(84169,8),(84170,7),(84171,5),(84172,7),(84173,8),(84174,3),(84175,7),(84176,6),(84177,9),(84178,2),(84179,2),(84180,1),(84181,3),(84182,5),(84183,8),(84184,4),(84185,1),(84186,9),(84187,4),(84188,9),(84189,3),(84190,5),(84191,1),(84192,9),(84193,3),(84194,6),(84195,8),(84196,2),(84197,4),(84198,4),(84199,6),(84200,1),(84201,9),(84202,1),(84203,8),(84204,1),(84205,9),(84206,2),(84207,6),(84208,7),(84209,2),(84210,4),(84211,4),(84212,2),(84213,9),(84214,6),(84215,3),(84216,9),(84217,9),(84218,3),(84219,6),(84220,6),(84221,8),(84222,1),(84223,9),(84224,9),(84225,5),(84226,4),(84227,9),(84228,8),(84229,7),(84230,4),(84231,9),(84232,5),(84233,2),(84234,9),(84235,6),(84236,9),(84237,4),(84238,1),(84239,4),(84240,7),(84241,9),(84242,8),(84243,3),(84244,3),(84245,2),(84246,3),(84247,2),(84248,7),(84249,8),(84250,5),(84251,8),(84252,9),(84253,3),(84254,4),(84255,7),(84256,5),(84257,5),(84258,9),(84259,9),(84260,6),(84261,8),(84262,1),(84263,3),(84264,3),(84265,5),(84266,8),(84267,5),(84268,6),(84269,9),(84270,8),(84271,7),(84272,4),(84273,8),(84274,8),(84275,4),(84276,8),(84277,5),(84278,3),(84279,3),(84280,5),(84281,2),(84282,1),(84283,3),(84284,8),(84285,1),(84286,1),(84287,9),(84288,5),(84289,6),(84290,5),(84291,4),(84292,7),(84293,6),(84294,7),(84295,3),(84296,5),(84297,3),(84298,2),(84299,6),(84300,7),(84301,4),(84302,9),(84303,3),(84304,5),(84305,2),(84306,2),(84307,6),(84308,6),(84309,3),(84310,7),(84311,7),(84312,7),(84313,4),(84314,3),(84315,2),(84316,8),(84317,6),(84318,1),(84319,1),(84320,6),(84321,3),(84322,9),(84323,5),(84324,5),(84325,5),(84326,8),(84327,3),(84328,7),(84329,8),(84330,2),(84331,6),(84332,5),(84333,8),(84334,3),(84335,5),(84336,2),(84337,9),(84338,8),(84339,1),(84340,8),(84341,8),(84342,9),(84343,5),(84344,4),(84345,4),(84346,1),(84347,3),(84348,9),(84349,5),(84350,7),(84351,3),(84352,5),(84353,6),(84354,3),(84355,3),(84356,2),(84357,1),(84358,8),(84359,1),(84360,2),(84361,8),(84362,3),(84363,8),(84364,7),(84365,7),(84366,1),(84367,8),(84368,5),(84369,5),(84370,5),(84371,1),(84372,3),(84373,3),(84374,9),(84375,1),(84376,2),(84377,1),(84378,6),(84379,6),(84380,8),(84381,9),(84382,2),(84383,4),(84384,2),(84385,2),(84386,8),(84387,9),(84388,4),(84389,8),(84390,7),(84391,3),(84392,8),(84393,7),(84394,9),(84395,5),(84396,8),(84397,3),(84398,1),(84399,7),(84400,2),(84401,3),(84402,2),(84403,2),(84404,7),(84405,2),(84406,3),(84407,6),(84408,7),(84409,7),(84410,4),(84411,7),(84412,8),(84413,3),(84414,6),(84415,7),(84416,9),(84417,6),(84418,1),(84419,1),(84420,1),(84421,8),(84422,7),(84423,7),(84424,3),(84425,8),(84426,4),(84427,4),(84428,7),(84429,4),(84430,8),(84431,4),(84432,2),(84433,5),(84434,2),(84435,8),(84436,9),(84437,7),(84438,7),(84439,6),(84440,5),(84441,5),(84442,1),(84443,5),(84444,9),(84445,5),(84446,7),(84447,8),(84448,1),(84449,4),(84450,5),(84451,1),(84452,7),(84453,9),(84454,1),(84455,1),(84456,4),(84457,4),(84458,9),(84459,8),(84460,8),(84461,2),(84462,4),(84463,1),(84464,2),(84465,5),(84466,3),(84467,7),(84468,6),(84469,3),(84470,7),(84471,4),(84472,1),(84473,8),(84474,4),(84475,7),(84476,8),(84477,9),(84478,9),(84479,5),(84480,3),(84481,8),(84482,6),(84483,3),(84484,1),(84485,7),(84486,5),(84487,7),(84488,3),(84489,1),(84490,1),(84491,8),(84492,5),(84493,6),(84494,6),(84495,7),(84496,4),(84497,7),(84498,4),(84499,4),(84500,7),(84501,6),(84502,3),(84503,5),(84504,9),(84505,7),(84506,3),(84507,6),(84508,8),(84509,9),(84510,8),(84511,8),(84512,6),(84513,6),(84514,5),(84515,4),(84516,8),(84517,6),(84518,5),(84519,2),(84520,5),(84521,5),(84522,5),(84523,4),(84524,1),(84525,3),(84526,5),(84527,3),(84528,4),(84529,7),(84530,6),(84531,2),(84532,6),(84533,9),(84534,3),(84535,6),(84536,1),(84537,2),(84538,1),(84539,4),(84540,3),(84541,6),(84542,7),(84543,4),(84544,1),(84545,9),(84546,7),(84547,9),(84548,3),(84549,3),(84550,2),(84551,8),(84552,3),(84553,7),(84554,1),(84555,7),(84556,8),(84557,6),(84558,9),(84559,6),(84560,4),(84561,1),(84562,1),(84563,3),(84564,8),(84565,6),(84566,1),(84567,8),(84568,5),(84569,8),(84570,7),(84571,6),(84572,2),(84573,3),(84574,2),(84575,8),(84576,2),(84577,7),(84578,2),(84579,5),(84580,8),(84581,2),(84582,7),(84583,9),(84584,2),(84585,6),(84586,2),(84587,1),(84588,2),(84589,1),(84590,6),(84591,4),(84592,3),(84593,6),(84594,8),(84595,3),(84596,3),(84597,5),(84598,2),(84599,9),(84600,5),(84601,4),(84602,5),(84603,9),(84604,5),(84605,4),(84606,4),(84607,1),(84608,9),(84609,4),(84610,4),(84611,5),(84612,8),(84613,2),(84614,2),(84615,8),(84616,8),(84617,3),(84618,5),(84619,5),(84620,2),(84621,4),(84622,7),(84623,5),(84624,5),(84625,4),(84626,6),(84627,9),(84628,4),(84629,2),(84630,8),(84631,9),(84632,6),(84633,9),(84634,6),(84635,9),(84636,7),(84637,7),(84638,9),(84639,9),(84640,2),(84641,6),(84642,4),(84643,7),(84644,3),(84645,7),(84646,7),(84647,5),(84648,1),(84649,9),(84650,9),(84651,2),(84652,1),(84653,8),(84654,7),(84655,1),(84656,9),(84657,8),(84658,8),(84659,1),(84660,4),(84661,9),(84662,6),(84663,8),(84664,7),(84665,5),(84666,9),(84667,7),(84668,7),(84669,3),(84670,1),(84671,7),(84672,1),(84673,7),(84674,4),(84675,1),(84676,1),(84677,7),(84678,4),(84679,9),(84680,3),(84681,2),(84682,7),(84683,2),(84684,6),(84685,6),(84686,1),(84687,2),(84688,8),(84689,8),(84690,9),(84691,8),(84692,5),(84693,4),(84694,1),(84695,1),(84696,4),(84697,6),(84698,5),(84699,8),(84700,8),(84701,5),(84702,4),(84703,8),(84704,1),(84705,6),(84706,1),(84707,1),(84708,4),(84709,4),(84710,4),(84711,6),(84712,6),(84713,5),(84714,7),(84715,5),(84716,8),(84717,2),(84718,1),(84719,3),(84720,2),(84721,8),(84722,1),(84723,9),(84724,3),(84725,1),(84726,6),(84727,6),(84728,9),(84729,3),(84730,1),(84731,8),(84732,3),(84733,5),(84734,9),(84735,1),(84736,7),(84737,6),(84738,5),(84739,5),(84740,5),(84741,7),(84742,1),(84743,9),(84744,2),(84745,3),(84746,7),(84747,9),(84748,1),(84749,8),(84750,2),(84751,2),(84752,9),(84753,5),(84754,6),(84755,5),(84756,6),(84757,7),(84758,1),(84759,4),(84760,7),(84761,8),(84762,4),(84763,6),(84764,5),(84765,6),(84766,3),(84767,5),(84768,1),(84769,4),(84770,2),(84771,1),(84772,6),(84773,1),(84774,6),(84775,1),(84776,7),(84777,2),(84778,5),(84779,3),(84780,5),(84781,1),(84782,2),(84783,2),(84784,3),(84785,8),(84786,1),(84787,3),(84788,8),(84789,2),(84790,4),(84791,8),(84792,4),(84793,2),(84794,4),(84795,9),(84796,4),(84797,6),(84798,7),(84799,9),(84800,2),(84801,6),(84802,5),(84803,7),(84804,6),(84805,2),(84806,2),(84807,8),(84808,1),(84809,6),(84810,3),(84811,2),(84812,4),(84813,8),(84814,4),(84815,4),(84816,2),(84817,7),(84818,3),(84819,7),(84820,9),(84821,2),(84822,5),(84823,5),(84824,6),(84825,8),(84826,1),(84827,3),(84828,1),(84829,6),(84830,8),(84831,4),(84832,6),(84833,8),(84834,4),(84835,2),(84836,7),(84837,9),(84838,4),(84839,4),(84840,2),(84841,6),(84842,3),(84843,6),(84844,7),(84845,6),(84846,2),(84847,1),(84848,7),(84849,1),(84850,5),(84851,1),(84852,7),(84853,4),(84854,1),(84855,2),(84856,8),(84857,8),(84858,6),(84859,7),(84860,9),(84861,2),(84862,9),(84863,8),(84864,5),(84865,7),(84866,6),(84867,4),(84868,9),(84869,6),(84870,8),(84871,7),(84872,9),(84873,8),(84874,7),(84875,4),(84876,4),(84877,8),(84878,2),(84879,3),(84880,6),(84881,5),(84882,5),(84883,4),(84884,6),(84885,8),(84886,9),(84887,3),(84888,2),(84889,1),(84890,5),(84891,7),(84892,4),(84893,7),(84894,6),(84895,2),(84896,3),(84897,7),(84898,8),(84899,4),(84900,8),(84901,4),(84902,3),(84903,5),(84904,2),(84905,6),(84906,8),(84907,8),(84908,8),(84909,8),(84910,4),(84911,4),(84912,6),(84913,2),(84914,7),(84915,2),(84916,4),(84917,9),(84918,7),(84919,3),(84920,1),(84921,2),(84922,2),(84923,6),(84924,1),(84925,6),(84926,2),(84927,3),(84928,2),(84929,9),(84930,4),(84931,2),(84932,4),(84933,4),(84934,6),(84935,6),(84936,7),(84937,8),(84938,5),(84939,4),(84940,2),(84941,7),(84942,8),(84943,7),(84944,8),(84945,7),(84946,1),(84947,6),(84948,7),(84949,9),(84950,2),(84951,8),(84952,6),(84953,7),(84954,8),(84955,6),(84956,3),(84957,9),(84958,9),(84959,4),(84960,6),(84961,3),(84962,6),(84963,3),(84964,2),(84965,3),(84966,9),(84967,2),(84968,8),(84969,7),(84970,9),(84971,2),(84972,1),(84973,8),(84974,7),(84975,2),(84976,4),(84977,5),(84978,1),(84979,4),(84980,6),(84981,1),(84982,1),(84983,8),(84984,2),(84985,6),(84986,3),(84987,4),(84988,4),(84989,4),(84990,2),(84991,5),(84992,3),(84993,3),(84994,2),(84995,1),(84996,3),(84997,5),(84998,4),(84999,3),(85000,1),(85001,5),(85002,2),(85003,4),(85004,2),(85005,7),(85006,6),(85007,7),(85008,6),(85009,1),(85010,6),(85011,8),(85012,3),(85013,5),(85014,5),(85015,8),(85016,6),(85017,7),(85018,2),(85019,5),(85020,5),(85021,4),(85022,4),(85023,9),(85024,1),(85025,1),(85026,3),(85027,1),(85028,6),(85029,5),(85030,2),(85031,8),(85032,8),(85033,9),(85034,7),(85035,4),(85036,4),(85037,5),(85038,3),(85039,7),(85040,2),(85041,1),(85042,6),(85043,8),(85044,6),(85045,2),(85046,2),(85047,4),(85048,4),(85049,8),(85050,1),(85051,1),(85052,3),(85053,3),(85054,9),(85055,3),(85056,8),(85057,8),(85058,1),(85059,9),(85060,4),(85061,3),(85062,4),(85063,5),(85064,9),(85065,3),(85066,2),(85067,2),(85068,5),(85069,9),(85070,1),(85071,1),(85072,9),(85073,5),(85074,5),(85075,9),(85076,5),(85077,8),(85078,4),(85079,7),(85080,7),(85081,1),(85082,5),(85083,4),(85084,4),(85085,3),(85086,2),(85087,4),(85088,6),(85089,7),(85090,3),(85091,2),(85092,1),(85093,9),(85094,1),(85095,8),(85096,2),(85097,9),(85098,9),(85099,5),(85100,5),(85101,3),(85102,7),(85103,2),(85104,4),(85105,5),(85106,9),(85107,2),(85108,1),(85109,9),(85110,1),(85111,9),(85112,7),(85113,6),(85114,3),(85115,5),(85116,4),(85117,4),(85118,7),(85119,1),(85120,8),(85121,1),(85122,5),(85123,9),(85124,2),(85125,4),(85126,8),(85127,1),(85128,1),(85129,3),(85130,2),(85131,4),(85132,3),(85133,9),(85134,6),(85135,9),(85136,2),(85137,7),(85138,9),(85139,5),(85140,7),(85141,5),(85142,1),(85143,8),(85144,5),(85145,8),(85146,7),(85147,6),(85148,3),(85149,5),(85150,8),(85151,5),(85152,5),(85153,5),(85154,4),(85155,9),(85156,1),(85157,6),(85158,9),(85159,8),(85160,6),(85161,3),(85162,9),(85163,5),(85164,4),(85165,1),(85166,6),(85167,5),(85168,9),(85169,3),(85170,2),(85171,5),(85172,8),(85173,3),(85174,1),(85175,6),(85176,6),(85177,1),(85178,9),(85179,3),(85180,1),(85181,8),(85182,3),(85183,8),(85184,9),(85185,6),(85186,3),(85187,2),(85188,9),(85189,8),(85190,1),(85191,1),(85192,4),(85193,4),(85194,2),(85195,4),(85196,4),(85197,3),(85198,4),(85199,3),(85200,5),(85201,1),(85202,4),(85203,6),(85204,6),(85205,4),(85206,6),(85207,8),(85208,1),(85209,4),(85210,9),(85211,2),(85212,5),(85213,5),(85214,6),(85215,6),(85216,9),(85217,5),(85218,3),(85219,3),(85220,8),(85221,9),(85222,4),(85223,3),(85224,6),(85225,7),(85226,4),(85227,1),(85228,2),(85229,5),(85230,9),(85231,4),(85232,1),(85233,9),(85234,7),(85235,9),(85236,6),(85237,6),(85238,3),(85239,7),(85240,4),(85241,3),(85242,1),(85243,9),(85244,8),(85245,3),(85246,4),(85247,3),(85248,8),(85249,6),(85250,6),(85251,6),(85252,3),(85253,9),(85254,8),(85255,3),(85256,2),(85257,7),(85258,7),(85259,4),(85260,1),(85261,7),(85262,5),(85263,5),(85264,1),(85265,4),(85266,1),(85267,7),(85268,5),(85269,1),(85270,2),(85271,7),(85272,8),(85273,9),(85274,3),(85275,7),(85276,2),(85277,2),(85278,2),(85279,8),(85280,5),(85281,5),(85282,2),(85283,8),(85284,6),(85285,9),(85286,6),(85287,4),(85288,7),(85289,1),(85290,3),(85291,4),(85292,9),(85293,6),(85294,1),(85295,5),(85296,8),(85297,3),(85298,4),(85299,2),(85300,1),(85301,5),(85302,4),(85303,7),(85304,6),(85305,6),(85306,4),(85307,5),(85308,5),(85309,8),(85310,2),(85311,2),(85312,1),(85313,2),(85314,2),(85315,6),(85316,7),(85317,1),(85318,4),(85319,2),(85320,9),(85321,2),(85322,7),(85323,9),(85324,2),(85325,1),(85326,9),(85327,4),(85328,3),(85329,4),(85330,6),(85331,8),(85332,2),(85333,8),(85334,5),(85335,5),(85336,9),(85337,4),(85338,5),(85339,6),(85340,2),(85341,1),(85342,9),(85343,9),(85344,3),(85345,9),(85346,4),(85347,5),(85348,7),(85349,4),(85350,3),(85351,4),(85352,4),(85353,6),(85354,7),(85355,5),(85356,4),(85357,3),(85358,8),(85359,6),(85360,8),(85361,8),(85362,7),(85363,9),(85364,4),(85365,5),(85366,1),(85367,1),(85368,3),(85369,8),(85370,7),(85371,7),(85372,7),(85373,4),(85374,7),(85375,4),(85376,1),(85377,4),(85378,3),(85379,7),(85380,9),(85381,2),(85382,3),(85383,5),(85384,1),(85385,2),(85386,5),(85387,4),(85388,4),(85389,5),(85390,5),(85391,2),(85392,1),(85393,6),(85394,6),(85395,6),(85396,4),(85397,7),(85398,6),(85399,9),(85400,4),(85401,5),(85402,8),(85403,4),(85404,3),(85405,4),(85406,7),(85407,5),(85408,4),(85409,9),(85410,4),(85411,2),(85412,6),(85413,5),(85414,5),(85415,8),(85416,1),(85417,1),(85418,3),(85419,1),(85420,7),(85421,6),(85422,8),(85423,8),(85424,4),(85425,8),(85426,6),(85427,2),(85428,6),(85429,9),(85430,5),(85431,3),(85432,8),(85433,7),(85434,2),(85435,3),(85436,2),(85437,3),(85438,1),(85439,4),(85440,3),(85441,1),(85442,3),(85443,2),(85444,5),(85445,5),(85446,7),(85447,8),(85448,1),(85449,2),(85450,3),(85451,2),(85452,8),(85453,8),(85454,8),(85455,2),(85456,2),(85457,6),(85458,3),(85459,9),(85460,9),(85461,1),(85462,9),(85463,5),(85464,3),(85465,4),(85466,9),(85467,5),(85468,1),(85469,5),(85470,4),(85471,6),(85472,6),(85473,5),(85474,9),(85475,6),(85476,7),(85477,3),(85478,8),(85479,4),(85480,3),(85481,6),(85482,3),(85483,1),(85484,8),(85485,1),(85486,5),(85487,7),(85488,6),(85489,8),(85490,8),(85491,9),(85492,8),(85493,1),(85494,5),(85495,1),(85496,6),(85497,1),(85498,1),(85499,5),(85500,3),(85501,5),(85502,8),(85503,4),(85504,2),(85505,2),(85506,9),(85507,5),(85508,7),(85509,7),(85510,2),(85511,2),(85512,5),(85513,3),(85514,4),(85515,5),(85516,4),(85517,7),(85518,9),(85519,7),(85520,1),(85521,9),(85522,1),(85523,3),(85524,3),(85525,5),(85526,7),(85527,3),(85528,3),(85529,3),(85530,8),(85531,9),(85532,2),(85533,3),(85534,7),(85535,5),(85536,9),(85537,3),(85538,4),(85539,1),(85540,9),(85541,7),(85542,6),(85543,7),(85544,7),(85545,6),(85546,2),(85547,3),(85548,2),(85549,1),(85550,8),(85551,8),(85552,9),(85553,7),(85554,5),(85555,4),(85556,7),(85557,9),(85558,7),(85559,9),(85560,9),(85561,3),(85562,3),(85563,9),(85564,2),(85565,8),(85566,7),(85567,9),(85568,5),(85569,4),(85570,9),(85571,2),(85572,5),(85573,4),(85574,5),(85575,4),(85576,4),(85577,1),(85578,5),(85579,8),(85580,3),(85581,1),(85582,1),(85583,8),(85584,3),(85585,4),(85586,3),(85587,9),(85588,1),(85589,5),(85590,9),(85591,6),(85592,1),(85593,4),(85594,8),(85595,2),(85596,1),(85597,2),(85598,4),(85599,6),(85600,8),(85601,9),(85602,7),(85603,2),(85604,4),(85605,5),(85606,1),(85607,2),(85608,3),(85609,2),(85610,1),(85611,3),(85612,2),(85613,3),(85614,6),(85615,5),(85616,1),(85617,8),(85618,8),(85619,5),(85620,6),(85621,8),(85622,3),(85623,6),(85624,1),(85625,6),(85626,5),(85627,1),(85628,1),(85629,6),(85630,9),(85631,8),(85632,4),(85633,9),(85634,9),(85635,3),(85636,2),(85637,4),(85638,4),(85639,3),(85640,5),(85641,7),(85642,1),(85643,1),(85644,7),(85645,5),(85646,9),(85647,9),(85648,3),(85649,5),(85650,8),(85651,4),(85652,7),(85653,8),(85654,9),(85655,5),(85656,6),(85657,3),(85658,2),(85659,4),(85660,3),(85661,5),(85662,4),(85663,7),(85664,9),(85665,9),(85666,1),(85667,7),(85668,7),(85669,3),(85670,2),(85671,4),(85672,2),(85673,9),(85674,1),(85675,7),(85676,7),(85677,2),(85678,6),(85679,5),(85680,7),(85681,5),(85682,8),(85683,6),(85684,2),(85685,5),(85686,7),(85687,1),(85688,2),(85689,5),(85690,7),(85691,2),(85692,2),(85693,4),(85694,8),(85695,3),(85696,7),(85697,6),(85698,7),(85699,4),(85700,3),(85701,1),(85702,6),(85703,8),(85704,5),(85705,4),(85706,6),(85707,3),(85708,7),(85709,1),(85710,2),(85711,7),(85712,2),(85713,9),(85714,4),(85715,8),(85716,8),(85717,3),(85718,2),(85719,5),(85720,7),(85721,8),(85722,5),(85723,1),(85724,6),(85725,1),(85726,9),(85727,3),(85728,5),(85729,6),(85730,6),(85731,6),(85732,8),(85733,3),(85734,3),(85735,9),(85736,5),(85737,2),(85738,3),(85739,7),(85740,8),(85741,2),(85742,4),(85743,7),(85744,9),(85745,9),(85746,8),(85747,3),(85748,7),(85749,3),(85750,1),(85751,5),(85752,9),(85753,6),(85754,2),(85755,9),(85756,3),(85757,1),(85758,6),(85759,3),(85760,9),(85761,9),(85762,3),(85763,4),(85764,7),(85765,3),(85766,8),(85767,1),(85768,9),(85769,2),(85770,1),(85771,2),(85772,6),(85773,5),(85774,4),(85775,1),(85776,3),(85777,8),(85778,4),(85779,8),(85780,1),(85781,5),(85782,5),(85783,8),(85784,3),(85785,9),(85786,1),(85787,8),(85788,2),(85789,5),(85790,2),(85791,7),(85792,4),(85793,9),(85794,4),(85795,5),(85796,3),(85797,2),(85798,6),(85799,9),(85800,9),(85801,9),(85802,6),(85803,2),(85804,5),(85805,7),(85806,7),(85807,8),(85808,6),(85809,8),(85810,9),(85811,3),(85812,1),(85813,6),(85814,3),(85815,4),(85816,3),(85817,2),(85818,7),(85819,2),(85820,2),(85821,7),(85822,1),(85823,7),(85824,4),(85825,9),(85826,2),(85827,5),(85828,4),(85829,5),(85830,6),(85831,5),(85832,5),(85833,5),(85834,2),(85835,3),(85836,2),(85837,5),(85838,7),(85839,4),(85840,2),(85841,5),(85842,8),(85843,9),(85844,9),(85845,6),(85846,9),(85847,9),(85848,6),(85849,5),(85850,5),(85851,5),(85852,7),(85853,3),(85854,7),(85855,1),(85856,4),(85857,2),(85858,3),(85859,5),(85860,6),(85861,4),(85862,5),(85863,4),(85864,2),(85865,9),(85866,6),(85867,4),(85868,5),(85869,1),(85870,7),(85871,5),(85872,4),(85873,5),(85874,3),(85875,4),(85876,6),(85877,7),(85878,3),(85879,4),(85880,3),(85881,3),(85882,6),(85883,4),(85884,5),(85885,6),(85886,5),(85887,6),(85888,9),(85889,3),(85890,8),(85891,7),(85892,9),(85893,3),(85894,7),(85895,5),(85896,2),(85897,2),(85898,1),(85899,4),(85900,5),(85901,5),(85902,8),(85903,7),(85904,6),(85905,2),(85906,2),(85907,6),(85908,3),(85909,4),(85910,9),(85911,1),(85912,7),(85913,6),(85914,7),(85915,2),(85916,5),(85917,8),(85918,3),(85919,1),(85920,3),(85921,1),(85922,5),(85923,9),(85924,3),(85925,3),(85926,5),(85927,6),(85928,2),(85929,7),(85930,5),(85931,2),(85932,4),(85933,5),(85934,9),(85935,8),(85936,1),(85937,5),(85938,1),(85939,7),(85940,2),(85941,9),(85942,8),(85943,6),(85944,1),(85945,1),(85946,1),(85947,5),(85948,7),(85949,9),(85950,7),(85951,7),(85952,3),(85953,9),(85954,2),(85955,5),(85956,7),(85957,6),(85958,8),(85959,2),(85960,8),(85961,9),(85962,1),(85963,5),(85964,6),(85965,6),(85966,6),(85967,9),(85968,7),(85969,7),(85970,4),(85971,3),(85972,6),(85973,9),(85974,8),(85975,2),(85976,6),(85977,5),(85978,7),(85979,4),(85980,7),(85981,4),(85982,3),(85983,3),(85984,1),(85985,1),(85986,7),(85987,1),(85988,7),(85989,7),(85990,7),(85991,4),(85992,3),(85993,8),(85994,9),(85995,2),(85996,3),(85997,9),(85998,2),(85999,7),(86000,4),(86001,7),(86002,7),(86003,4),(86004,4),(86005,5),(86006,6),(86007,5),(86008,7),(86009,4),(86010,5),(86011,1),(86012,2),(86013,9),(86014,8),(86015,3),(86016,8),(86017,3),(86018,5),(86019,2),(86020,7),(86021,5),(86022,2),(86023,3),(86024,5),(86025,4),(86026,4),(86027,1),(86028,2),(86029,3),(86030,6),(86031,1),(86032,2),(86033,4),(86034,5),(86035,6),(86036,4),(86037,9),(86038,4),(86039,7),(86040,8),(86041,2),(86042,2),(86043,7),(86044,7),(86045,8),(86046,8),(86047,2),(86048,1),(86049,6),(86050,2),(86051,5),(86052,1),(86053,6),(86054,6),(86055,2),(86056,9),(86057,8),(86058,5),(86059,2),(86060,1),(86061,5),(86062,8),(86063,8),(86064,5),(86065,3),(86066,4),(86067,1),(86068,3),(86069,6),(86070,4),(86071,4),(86072,4),(86073,2),(86074,9),(86075,1),(86076,9),(86077,4),(86078,5),(86079,3),(86080,4),(86081,4),(86082,6),(86083,2),(86084,4),(86085,8),(86086,4),(86087,6),(86088,3),(86089,3),(86090,7),(86091,3),(86092,9),(86093,6),(86094,7),(86095,5),(86096,3),(86097,5),(86098,7),(86099,6),(86100,4),(86101,3),(86102,7),(86103,4),(86104,8),(86105,3),(86106,2),(86107,2),(86108,1),(86109,7),(86110,1),(86111,2),(86112,8),(86113,8),(86114,2),(86115,3),(86116,1),(86117,7),(86118,2),(86119,8),(86120,3),(86121,5),(86122,3),(86123,2),(86124,7),(86125,4),(86126,2),(86127,9),(86128,1),(86129,6),(86130,4),(86131,4),(86132,7),(86133,7),(86134,9),(86135,4),(86136,2),(86137,6),(86138,9),(86139,4),(86140,5),(86141,4),(86142,4),(86143,6),(86144,3),(86145,5),(86146,5),(86147,1),(86148,3),(86149,5),(86150,8),(86151,9),(86152,6),(86153,9),(86154,8),(86155,1),(86156,8),(86157,6),(86158,3),(86159,9),(86160,9),(86161,6),(86162,7),(86163,7),(86164,2),(86165,8),(86166,1),(86167,2),(86168,2),(86169,4),(86170,8),(86171,5),(86172,4),(86173,5),(86174,2),(86175,1),(86176,8),(86177,7),(86178,6),(86179,9),(86180,2),(86181,7),(86182,5),(86183,3),(86184,1),(86185,1),(86186,7),(86187,5),(86188,6),(86189,8),(86190,4),(86191,7),(86192,1),(86193,6),(86194,4),(86195,7),(86196,3),(86197,7),(86198,7),(86199,3),(86200,6),(86201,3),(86202,9),(86203,1),(86204,2),(86205,5),(86206,8),(86207,3),(86208,2),(86209,6),(86210,8),(86211,8),(86212,6),(86213,1),(86214,8),(86215,9),(86216,9),(86217,6),(86218,4),(86219,1),(86220,4),(86221,9),(86222,7),(86223,8),(86224,2),(86225,8),(86226,5),(86227,7),(86228,9),(86229,9),(86230,7),(86231,1),(86232,8),(86233,9),(86234,9),(86235,2),(86236,8),(86237,7),(86238,4),(86239,8),(86240,9),(86241,2),(86242,6),(86243,7),(86244,6),(86245,2),(86246,9),(86247,4),(86248,2),(86249,2),(86250,2),(86251,8),(86252,1),(86253,5),(86254,1),(86255,2),(86256,3),(86257,1),(86258,4),(86259,1),(86260,1),(86261,2),(86262,4),(86263,1),(86264,6),(86265,4),(86266,4),(86267,2),(86268,2),(86269,6),(86270,4),(86271,6),(86272,1),(86273,6),(86274,6),(86275,9),(86276,8),(86277,1),(86278,6),(86279,9),(86280,5),(86281,3),(86282,4),(86283,1),(86284,2),(86285,5),(86286,9),(86287,5),(86288,5),(86289,7),(86290,2),(86291,8),(86292,1),(86293,6),(86294,7),(86295,8),(86296,3),(86297,1),(86298,3),(86299,8),(86300,4),(86301,2),(86302,5),(86303,8),(86304,7),(86305,1),(86306,4),(86307,5),(86308,4),(86309,9),(86310,4),(86311,8),(86312,1),(86313,7),(86314,2),(86315,6),(86316,5),(86317,4),(86318,6),(86319,5),(86320,9),(86321,7),(86322,2),(86323,9),(86324,6),(86325,1),(86326,1),(86327,9),(86328,6),(86329,8),(86330,5),(86331,2),(86332,9),(86333,1),(86334,5),(86335,7),(86336,7),(86337,7),(86338,6),(86339,4),(86340,8),(86341,1),(86342,5),(86343,5),(86344,1),(86345,3),(86346,8),(86347,3),(86348,5),(86349,4),(86350,2),(86351,6),(86352,7),(86353,5),(86354,5),(86355,7),(86356,6),(86357,2),(86358,9),(86359,1),(86360,6),(86361,2),(86362,7),(86363,7),(86364,4),(86365,6),(86366,3),(86367,5),(86368,7),(86369,2),(86370,5),(86371,2),(86372,5),(86373,8),(86374,7),(86375,5),(86376,8),(86377,6),(86378,5),(86379,8),(86380,4),(86381,5),(86382,4),(86383,3),(86384,7),(86385,9),(86386,4),(86387,6),(86388,7),(86389,1),(86390,1),(86391,7),(86392,2),(86393,9),(86394,1),(86395,7),(86396,4),(86397,9),(86398,8),(86399,2),(86400,9),(86401,8),(86402,5),(86403,6),(86404,2),(86405,2),(86406,7),(86407,2),(86408,3),(86409,5),(86410,2),(86411,9),(86412,6),(86413,2),(86414,6),(86415,7),(86416,7),(86417,3),(86418,7),(86419,4),(86420,9),(86421,8),(86422,9),(86423,6),(86424,6),(86425,1),(86426,9),(86427,1),(86428,9),(86429,4),(86430,7),(86431,7),(86432,3),(86433,8),(86434,8),(86435,1),(86436,4),(86437,5),(86438,8),(86439,2),(86440,8),(86441,6),(86442,8),(86443,7),(86444,2),(86445,6),(86446,4),(86447,4),(86448,1),(86449,3),(86450,3),(86451,2),(86452,5),(86453,6),(86454,8),(86455,6),(86456,6),(86457,5),(86458,7),(86459,8),(86460,1),(86461,1),(86462,7),(86463,4),(86464,4),(86465,4),(86466,4),(86467,8),(86468,5),(86469,9),(86470,8),(86471,6),(86472,7),(86473,1),(86474,4),(86475,6),(86476,3),(86477,6),(86478,6),(86479,2),(86480,5),(86481,3),(86482,1),(86483,5),(86484,2),(86485,7),(86486,1),(86487,9),(86488,4),(86489,5),(86490,5),(86491,5),(86492,3),(86493,6),(86494,1),(86495,3),(86496,4),(86497,6),(86498,8),(86499,4),(86500,9),(86501,7),(86502,2),(86503,4),(86504,6),(86505,9),(86506,3),(86507,3),(86508,1),(86509,9),(86510,2),(86511,9),(86512,7),(86513,5),(86514,3),(86515,4),(86516,3),(86517,4),(86518,3),(86519,7),(86520,7),(86521,3),(86522,7),(86523,4),(86524,6),(86525,3),(86526,9),(86527,3),(86528,5),(86529,5),(86530,6),(86531,7),(86532,9),(86533,8),(86534,9),(86535,5),(86536,9),(86537,8),(86538,3),(86539,4),(86540,9),(86541,6),(86542,9),(86543,3),(86544,1),(86545,7),(86546,5),(86547,1),(86548,1),(86549,1),(86550,3),(86551,9),(86552,3),(86553,6),(86554,2),(86555,9),(86556,7),(86557,3),(86558,8),(86559,5),(86560,2),(86561,5),(86562,3),(86563,6),(86564,6),(86565,7),(86566,8),(86567,1),(86568,2),(86569,1),(86570,7),(86571,7),(86572,1),(86573,4),(86574,9),(86575,1),(86576,7),(86577,4),(86578,9),(86579,7),(86580,9),(86581,3),(86582,5),(86583,9),(86584,9),(86585,9),(86586,3),(86587,1),(86588,5),(86589,9),(86590,9),(86591,3),(86592,1),(86593,2),(86594,7),(86595,4),(86596,6),(86597,1),(86598,8),(86599,1),(86600,9),(86601,6),(86602,6),(86603,6),(86604,5),(86605,9),(86606,2),(86607,2),(86608,1),(86609,1),(86610,9),(86611,5),(86612,1),(86613,2),(86614,6),(86615,6),(86616,6),(86617,7),(86618,4),(86619,4),(86620,9),(86621,1),(86622,7),(86623,5),(86624,7),(86625,8),(86626,2),(86627,3),(86628,3),(86629,2),(86630,2),(86631,3),(86632,1),(86633,3),(86634,2),(86635,7),(86636,5),(86637,9),(86638,8),(86639,6),(86640,2),(86641,3),(86642,9),(86643,3),(86644,7),(86645,1),(86646,4),(86647,4),(86648,9),(86649,7),(86650,5),(86651,6),(86652,1),(86653,8),(86654,3),(86655,7),(86656,3),(86657,5),(86658,7),(86659,6),(86660,9),(86661,9),(86662,5),(86663,8),(86664,1),(86665,5),(86666,4),(86667,8),(86668,1),(86669,3),(86670,9),(86671,2),(86672,2),(86673,1),(86674,2),(86675,8),(86676,9),(86677,2),(86678,7),(86679,9),(86680,1),(86681,2),(86682,9),(86683,2),(86684,9),(86685,7),(86686,8),(86687,7),(86688,9),(86689,2),(86690,1),(86691,7),(86692,3),(86693,2),(86694,8),(86695,3),(86696,3),(86697,3),(86698,6),(86699,5),(86700,5),(86701,1),(86702,8),(86703,9),(86704,7),(86705,5),(86706,1),(86707,7),(86708,8),(86709,6),(86710,7),(86711,7),(86712,8),(86713,5),(86714,3),(86715,5),(86716,9),(86717,4),(86718,5),(86719,8),(86720,1),(86721,2),(86722,9),(86723,3),(86724,1),(86725,2),(86726,9),(86727,9),(86728,4),(86729,5),(86730,2),(86731,6),(86732,3),(86733,7),(86734,3),(86735,5),(86736,8),(86737,3),(86738,6),(86739,4),(86740,1),(86741,1),(86742,2),(86743,9),(86744,7),(86745,2),(86746,1),(86747,7),(86748,8),(86749,4),(86750,1),(86751,1),(86752,6),(86753,2),(86754,1),(86755,9),(86756,2),(86757,5),(86758,1),(86759,6),(86760,3),(86761,7),(86762,2),(86763,9),(86764,2),(86765,5),(86766,8),(86767,1),(86768,1),(86769,2),(86770,3),(86771,2),(86772,5),(86773,6),(86774,8),(86775,7),(86776,7),(86777,2),(86778,7),(86779,5),(86780,7),(86781,3),(86782,1),(86783,4),(86784,9),(86785,1),(86786,6),(86787,4),(86788,3),(86789,7),(86790,5),(86791,2),(86792,9),(86793,2),(86794,8),(86795,3),(86796,3),(86797,7),(86798,2),(86799,5),(86800,8),(86801,6),(86802,5),(86803,4),(86804,3),(86805,7),(86806,8),(86807,4),(86808,7),(86809,5),(86810,2),(86811,7),(86812,6),(86813,1),(86814,5),(86815,8),(86816,9),(86817,6),(86818,5),(86819,2),(86820,1),(86821,1),(86822,6),(86823,5),(86824,1),(86825,4),(86826,8),(86827,6),(86828,9),(86829,4),(86830,9),(86831,4),(86832,6),(86833,8),(86834,2),(86835,6),(86836,8),(86837,6),(86838,9),(86839,7),(86840,6),(86841,4),(86842,7),(86843,2),(86844,2),(86845,2),(86846,3),(86847,7),(86848,3),(86849,7),(86850,1),(86851,3),(86852,4),(86853,9),(86854,2),(86855,2),(86856,9),(86857,7),(86858,5),(86859,3),(86860,6),(86861,2),(86862,5),(86863,4),(86864,6),(86865,3),(86866,7),(86867,3),(86868,3),(86869,6),(86870,5),(86871,2),(86872,2),(86873,7),(86874,1),(86875,9),(86876,5),(86877,3),(86878,6),(86879,5),(86880,8),(86881,9),(86882,2),(86883,9),(86884,6),(86885,4),(86886,4),(86887,5),(86888,9),(86889,9),(86890,8),(86891,2),(86892,2),(86893,5),(86894,5),(86895,2),(86896,9),(86897,4),(86898,9),(86899,8),(86900,6),(86901,7),(86902,2),(86903,7),(86904,3),(86905,7),(86906,4),(86907,6),(86908,7),(86909,8),(86910,6),(86911,4),(86912,3),(86913,8),(86914,2),(86915,4),(86916,6),(86917,1),(86918,1),(86919,5),(86920,2),(86921,2),(86922,3),(86923,3),(86924,5),(86925,1),(86926,2),(86927,3),(86928,1),(86929,7),(86930,3),(86931,7),(86932,5),(86933,6),(86934,1),(86935,6),(86936,5),(86937,3),(86938,1),(86939,9),(86940,4),(86941,5),(86942,6),(86943,9),(86944,5),(86945,8),(86946,3),(86947,2),(86948,5),(86949,1),(86950,9),(86951,7),(86952,6),(86953,5),(86954,4),(86955,3),(86956,5),(86957,9),(86958,5),(86959,2),(86960,9),(86961,1),(86962,3),(86963,1),(86964,9),(86965,4),(86966,6),(86967,9),(86968,3),(86969,3),(86970,3),(86971,4),(86972,4),(86973,4),(86974,5),(86975,3),(86976,1),(86977,2),(86978,3),(86979,1),(86980,1),(86981,1),(86982,1),(86983,7),(86984,5),(86985,8),(86986,1),(86987,7),(86988,8),(86989,9),(86990,9),(86991,8),(86992,4),(86993,3),(86994,8),(86995,4),(86996,5),(86997,9),(86998,5),(86999,6),(87000,2),(87001,3),(87002,5),(87003,1),(87004,2),(87005,1),(87006,8),(87007,6),(87008,6),(87009,4),(87010,8),(87011,3),(87012,2),(87013,5),(87014,6),(87015,1),(87016,2),(87017,7),(87018,3),(87019,8),(87020,4),(87021,3),(87022,3),(87023,5),(87024,8),(87025,6),(87026,4),(87027,2),(87028,9),(87029,9),(87030,4),(87031,4),(87032,3),(87033,9),(87034,6),(87035,2),(87036,4),(87037,4),(87038,4),(87039,3),(87040,5),(87041,8),(87042,9),(87043,1),(87044,9),(87045,4),(87046,6),(87047,4),(87048,5),(87049,4),(87050,2),(87051,8),(87052,7),(87053,9),(87054,3),(87055,7),(87056,9),(87057,9),(87058,4),(87059,5),(87060,7),(87061,9),(87062,9),(87063,4),(87064,2),(87065,8),(87066,6),(87067,7),(87068,1),(87069,8),(87070,6),(87071,7),(87072,4),(87073,3),(87074,9),(87075,4),(87076,7),(87077,3),(87078,5),(87079,9),(87080,4),(87081,3),(87082,7),(87083,4),(87084,8),(87085,4),(87086,5),(87087,5),(87088,2),(87089,7),(87090,5),(87091,4),(87092,4),(87093,3),(87094,2),(87095,7),(87096,4),(87097,7),(87098,3),(87099,7),(87100,8),(87101,6),(87102,9),(87103,2),(87104,9),(87105,2),(87106,7),(87107,9),(87108,7),(87109,3),(87110,2),(87111,9),(87112,9),(87113,1),(87114,5),(87115,8),(87116,4),(87117,8),(87118,8),(87119,3),(87120,1),(87121,2),(87122,4),(87123,3),(87124,8),(87125,9),(87126,5),(87127,9),(87128,8),(87129,6),(87130,4),(87131,9),(87132,8),(87133,3),(87134,7),(87135,3),(87136,5),(87137,1),(87138,4),(87139,7),(87140,5),(87141,5),(87142,9),(87143,4),(87144,7),(87145,4),(87146,6),(87147,5),(87148,5),(87149,3),(87150,9),(87151,8),(87152,2),(87153,5),(87154,3),(87155,1),(87156,9),(87157,1),(87158,8),(87159,3),(87160,3),(87161,7),(87162,2),(87163,9),(87164,6),(87165,5),(87166,9),(87167,5),(87168,7),(87169,3),(87170,3),(87171,4),(87172,9),(87173,2),(87174,6),(87175,9),(87176,9),(87177,6),(87178,9),(87179,2),(87180,4),(87181,8),(87182,9),(87183,3),(87184,1),(87185,2),(87186,2),(87187,9),(87188,8),(87189,5),(87190,3),(87191,7),(87192,9),(87193,5),(87194,9),(87195,8),(87196,7),(87197,3),(87198,9),(87199,6),(87200,2),(87201,3),(87202,1),(87203,1),(87204,7),(87205,4),(87206,9),(87207,6),(87208,3),(87209,7),(87210,3),(87211,5),(87212,7),(87213,6),(87214,2),(87215,3),(87216,7),(87217,8),(87218,2),(87219,1),(87220,7),(87221,9),(87222,7),(87223,9),(87224,5),(87225,5),(87226,3),(87227,5),(87228,7),(87229,2),(87230,1),(87231,5),(87232,3),(87233,3),(87234,4),(87235,4),(87236,5),(87237,5),(87238,7),(87239,3),(87240,7),(87241,9),(87242,9),(87243,4),(87244,3),(87245,3),(87246,1),(87247,6),(87248,7),(87249,5),(87250,7),(87251,3),(87252,2),(87253,7),(87254,2),(87255,9),(87256,9),(87257,8),(87258,5),(87259,6),(87260,6),(87261,1),(87262,9),(87263,6),(87264,3),(87265,3),(87266,8),(87267,2),(87268,4),(87269,7),(87270,1),(87271,9),(87272,1),(87273,7),(87274,8),(87275,7),(87276,8),(87277,5),(87278,7),(87279,6),(87280,4),(87281,6),(87282,1),(87283,1),(87284,5),(87285,7),(87286,6),(87287,9),(87288,4),(87289,7),(87290,4),(87291,2),(87292,3),(87293,6),(87294,5),(87295,1),(87296,7),(87297,2),(87298,5),(87299,9),(87300,9),(87301,5),(87302,1),(87303,6),(87304,4),(87305,3),(87306,9),(87307,5),(87308,6),(87309,9),(87310,8),(87311,9),(87312,3),(87313,2),(87314,5),(87315,5),(87316,8),(87317,2),(87318,8),(87319,5),(87320,7),(87321,5),(87322,6),(87323,8),(87324,9),(87325,6),(87326,6),(87327,9),(87328,5),(87329,4),(87330,8),(87331,9),(87332,6),(87333,9),(87334,5),(87335,4),(87336,6),(87337,2),(87338,8),(87339,2),(87340,5),(87341,3),(87342,5),(87343,2),(87344,8),(87345,1),(87346,5),(87347,7),(87348,5),(87349,6),(87350,8),(87351,3),(87352,2),(87353,3),(87354,9),(87355,5),(87356,2),(87357,1),(87358,9),(87359,4),(87360,2),(87361,7),(87362,8),(87363,3),(87364,7),(87365,5),(87366,6),(87367,3),(87368,1),(87369,4),(87370,3),(87371,1),(87372,7),(87373,9),(87374,6),(87375,2),(87376,1),(87377,1),(87378,9),(87379,7),(87380,7),(87381,4),(87382,9),(87383,2),(87384,2),(87385,1),(87386,6),(87387,1),(87388,6),(87389,7),(87390,2),(87391,6),(87392,1),(87393,5),(87394,6),(87395,5),(87396,8),(87397,4),(87398,3),(87399,9),(87400,1),(87401,8),(87402,2),(87403,5),(87404,8),(87405,3),(87406,4),(87407,1),(87408,5),(87409,1),(87410,3),(87411,6),(87412,7),(87413,4),(87414,3),(87415,4),(87416,6),(87417,5),(87418,1),(87419,5),(87420,4),(87421,2),(87422,6),(87423,1),(87424,1),(87425,4),(87426,4),(87427,4),(87428,3),(87429,1),(87430,9),(87431,7),(87432,4),(87433,4),(87434,3),(87435,7),(87436,7),(87437,7),(87438,1),(87439,3),(87440,5),(87441,1),(87442,4),(87443,2),(87444,2),(87445,7),(87446,5),(87447,6),(87448,4),(87449,3),(87450,8),(87451,3),(87452,1),(87453,3),(87454,9),(87455,6),(87456,4),(87457,2),(87458,7),(87459,8),(87460,3),(87461,9),(87462,3),(87463,9),(87464,5),(87465,5),(87466,4),(87467,5),(87468,4),(87469,2),(87470,2),(87471,7),(87472,9),(87473,3),(87474,2),(87475,5),(87476,3),(87477,5),(87478,5),(87479,8),(87480,6),(87481,3),(87482,1),(87483,4),(87484,9),(87485,4),(87486,3),(87487,7),(87488,4),(87489,1),(87490,5),(87491,2),(87492,2),(87493,3),(87494,5),(87495,8),(87496,9),(87497,7),(87498,9),(87499,4),(87500,8),(87501,7),(87502,5),(87503,9),(87504,9),(87505,4),(87506,1),(87507,5),(87508,6),(87509,2),(87510,9),(87511,9),(87512,4),(87513,3),(87514,5),(87515,6),(87516,1),(87517,1),(87518,4),(87519,5),(87520,9),(87521,8),(87522,8),(87523,6),(87524,8),(87525,3),(87526,5),(87527,5),(87528,2),(87529,2),(87530,6),(87531,8),(87532,5),(87533,1),(87534,4),(87535,2),(87536,9),(87537,7),(87538,7),(87539,3),(87540,8),(87541,2),(87542,2),(87543,8),(87544,5),(87545,7),(87546,9),(87547,8),(87548,7),(87549,1),(87550,1),(87551,4),(87552,8),(87553,4),(87554,7),(87555,1),(87556,4),(87557,8),(87558,5),(87559,9),(87560,4),(87561,7),(87562,8),(87563,2),(87564,3),(87565,9),(87566,5),(87567,1),(87568,6),(87569,3),(87570,5),(87571,8),(87572,4),(87573,6),(87574,4),(87575,6),(87576,9),(87577,1),(87578,3),(87579,4),(87580,8),(87581,3),(87582,7),(87583,7),(87584,4),(87585,8),(87586,8),(87587,7),(87588,4),(87589,6),(87590,7),(87591,6),(87592,7),(87593,3),(87594,8),(87595,1),(87596,6),(87597,5),(87598,5),(87599,2),(87600,9),(87601,7),(87602,3),(87603,3),(87604,7),(87605,2),(87606,9),(87607,3),(87608,9),(87609,9),(87610,6),(87611,8),(87612,1),(87613,2),(87614,2),(87615,3),(87616,2),(87617,2),(87618,3),(87619,2),(87620,3),(87621,4),(87622,2),(87623,2),(87624,8),(87625,5),(87626,9),(87627,7),(87628,9),(87629,7),(87630,8),(87631,5),(87632,1),(87633,1),(87634,4),(87635,8),(87636,2),(87637,3),(87638,7),(87639,2),(87640,5),(87641,4),(87642,6),(87643,3),(87644,2),(87645,5),(87646,4),(87647,4),(87648,4),(87649,1),(87650,3),(87651,8),(87652,3),(87653,1),(87654,6),(87655,2),(87656,1),(87657,3),(87658,7),(87659,3),(87660,2),(87661,5),(87662,2),(87663,7),(87664,7),(87665,4),(87666,9),(87667,9),(87668,8),(87669,4),(87670,9),(87671,5),(87672,9),(87673,7),(87674,1),(87675,3),(87676,8),(87677,3),(87678,6),(87679,9),(87680,5),(87681,6),(87682,6),(87683,1),(87684,1),(87685,3),(87686,1),(87687,4),(87688,4),(87689,3),(87690,1),(87691,5),(87692,2),(87693,1),(87694,8),(87695,6),(87696,2),(87697,4),(87698,2),(87699,6),(87700,8),(87701,2),(87702,7),(87703,2),(87704,4),(87705,8),(87706,3),(87707,1),(87708,7),(87709,9),(87710,5),(87711,1),(87712,5),(87713,6),(87714,1),(87715,2),(87716,7),(87717,8),(87718,4),(87719,1),(87720,8),(87721,7),(87722,7),(87723,6),(87724,6),(87725,5),(87726,8),(87727,3),(87728,4),(87729,7),(87730,9),(87731,8),(87732,4),(87733,8),(87734,7),(87735,2),(87736,8),(87737,8),(87738,1),(87739,6),(87740,9),(87741,7),(87742,4),(87743,3),(87744,8),(87745,3),(87746,1),(87747,2),(87748,6),(87749,7),(87750,1),(87751,4),(87752,1),(87753,2),(87754,9),(87755,4),(87756,5),(87757,5),(87758,1),(87759,2),(87760,3),(87761,1),(87762,5),(87763,3),(87764,9),(87765,1),(87766,5),(87767,1),(87768,5),(87769,6),(87770,2),(87771,8),(87772,8),(87773,8),(87774,5),(87775,2),(87776,1),(87777,4),(87778,6),(87779,8),(87780,6),(87781,6),(87782,6),(87783,2),(87784,3),(87785,4),(87786,4),(87787,3),(87788,9),(87789,6),(87790,9),(87791,6),(87792,3),(87793,1),(87794,3),(87795,9),(87796,1),(87797,2),(87798,8),(87799,5),(87800,6),(87801,7),(87802,3),(87803,2),(87804,5),(87805,3),(87806,2),(87807,5),(87808,5),(87809,9),(87810,9),(87811,4),(87812,7),(87813,7),(87814,5),(87815,3),(87816,6),(87817,4),(87818,5),(87819,4),(87820,3),(87821,6),(87822,7),(87823,7),(87824,2),(87825,1),(87826,7),(87827,8),(87828,7),(87829,2),(87830,2),(87831,4),(87832,3),(87833,1),(87834,7),(87835,7),(87836,8),(87837,9),(87838,1),(87839,9),(87840,7),(87841,8),(87842,2),(87843,2),(87844,1),(87845,7),(87846,7),(87847,4),(87848,3),(87849,3),(87850,8),(87851,9),(87852,6),(87853,2),(87854,8),(87855,2),(87856,6),(87857,3),(87858,9),(87859,7),(87860,2),(87861,7),(87862,7),(87863,6),(87864,1),(87865,2),(87866,5),(87867,6),(87868,5),(87869,4),(87870,7),(87871,9),(87872,3),(87873,1),(87874,9),(87875,2),(87876,7),(87877,9),(87878,7),(87879,4),(87880,5),(87881,8),(87882,2),(87883,4),(87884,8),(87885,7),(87886,7),(87887,2),(87888,7),(87889,7),(87890,8),(87891,1),(87892,7),(87893,1),(87894,7),(87895,9),(87896,3),(87897,8),(87898,4),(87899,1),(87900,6),(87901,5),(87902,7),(87903,9),(87904,9),(87905,5),(87906,3),(87907,2),(87908,9),(87909,7),(87910,7),(87911,1),(87912,2),(87913,3),(87914,1),(87915,6),(87916,1),(87917,7),(87918,5),(87919,3),(87920,4),(87921,7),(87922,7),(87923,5),(87924,4),(87925,7),(87926,8),(87927,6),(87928,2),(87929,8),(87930,8),(87931,3),(87932,6),(87933,9),(87934,9),(87935,3),(87936,7),(87937,5),(87938,7),(87939,2),(87940,2),(87941,3),(87942,2),(87943,6),(87944,2),(87945,3),(87946,7),(87947,5),(87948,7),(87949,4),(87950,2),(87951,5),(87952,2),(87953,9),(87954,9),(87955,4),(87956,4),(87957,2),(87958,1),(87959,3),(87960,8),(87961,2),(87962,3),(87963,6),(87964,1),(87965,2),(87966,9),(87967,9),(87968,3),(87969,3),(87970,7),(87971,4),(87972,5),(87973,3),(87974,8),(87975,3),(87976,9),(87977,4),(87978,8),(87979,8),(87980,1),(87981,2),(87982,7),(87983,3),(87984,1),(87985,5),(87986,2),(87987,3),(87988,6),(87989,9),(87990,8),(87991,6),(87992,9),(87993,7),(87994,8),(87995,1),(87996,6),(87997,5),(87998,7),(87999,9),(88000,9),(88001,1),(88002,5),(88003,6),(88004,5),(88005,1),(88006,8),(88007,2),(88008,1),(88009,1),(88010,1),(88011,3),(88012,1),(88013,5),(88014,7),(88015,5),(88016,6),(88017,7),(88018,4),(88019,7),(88020,5),(88021,8),(88022,5),(88023,8),(88024,8),(88025,1),(88026,2),(88027,9),(88028,3),(88029,2),(88030,9),(88031,1),(88032,2),(88033,6),(88034,7),(88035,1),(88036,8),(88037,1),(88038,4),(88039,3),(88040,3),(88041,9),(88042,9),(88043,7),(88044,3),(88045,7),(88046,8),(88047,7),(88048,2),(88049,2),(88050,1),(88051,7),(88052,9),(88053,7),(88054,6),(88055,6),(88056,8),(88057,2),(88058,3),(88059,4),(88060,5),(88061,4),(88062,3),(88063,6),(88064,2),(88065,8),(88066,1),(88067,9),(88068,6),(88069,1),(88070,6),(88071,1),(88072,6),(88073,1),(88074,8),(88075,7),(88076,4),(88077,2),(88078,3),(88079,5),(88080,8),(88081,8),(88082,4),(88083,5),(88084,9),(88085,2),(88086,4),(88087,5),(88088,2),(88089,3),(88090,9),(88091,1),(88092,8),(88093,3),(88094,2),(88095,8),(88096,8),(88097,6),(88098,2),(88099,1),(88100,7),(88101,4),(88102,2),(88103,7),(88104,3),(88105,8),(88106,8),(88107,1),(88108,7),(88109,6),(88110,7),(88111,5),(88112,8),(88113,5),(88114,5),(88115,2),(88116,3),(88117,1),(88118,2),(88119,2),(88120,2),(88121,4),(88122,2),(88123,7),(88124,1),(88125,6),(88126,8),(88127,3),(88128,1),(88129,2),(88130,6),(88131,2),(88132,7),(88133,8),(88134,6),(88135,5),(88136,8),(88137,8),(88138,1),(88139,2),(88140,8),(88141,2),(88142,4),(88143,7),(88144,3),(88145,2),(88146,2),(88147,3),(88148,6),(88149,9),(88150,2),(88151,1),(88152,6),(88153,1),(88154,2),(88155,9),(88156,9),(88157,3),(88158,4),(88159,6),(88160,5),(88161,6),(88162,2),(88163,8),(88164,1),(88165,9),(88166,2),(88167,2),(88168,5),(88169,9),(88170,4),(88171,8),(88172,3),(88173,3),(88174,6),(88175,1),(88176,5),(88177,7),(88178,1),(88179,8),(88180,2),(88181,7),(88182,5),(88183,1),(88184,1),(88185,2),(88186,8),(88187,7),(88188,9),(88189,8),(88190,3),(88191,3),(88192,5),(88193,3),(88194,7),(88195,5),(88196,1),(88197,2),(88198,1),(88199,6),(88200,7),(88201,1),(88202,1),(88203,1),(88204,6),(88205,1),(88206,1),(88207,8),(88208,4),(88209,6),(88210,1),(88211,4),(88212,1),(88213,7),(88214,8),(88215,4),(88216,2),(88217,8),(88218,7),(88219,5),(88220,7),(88221,8),(88222,7),(88223,3),(88224,4),(88225,3),(88226,1),(88227,5),(88228,5),(88229,7),(88230,5),(88231,5),(88232,5),(88233,3),(88234,3),(88235,6),(88236,7),(88237,5),(88238,2),(88239,3),(88240,8),(88241,9),(88242,1),(88243,2),(88244,9),(88245,3),(88246,9),(88247,7),(88248,3),(88249,2),(88250,2),(88251,7),(88252,7),(88253,2),(88254,5),(88255,3),(88256,8),(88257,8),(88258,1),(88259,9),(88260,5),(88261,5),(88262,6),(88263,6),(88264,6),(88265,4),(88266,9),(88267,3),(88268,3),(88269,7),(88270,1),(88271,5),(88272,9),(88273,2),(88274,1),(88275,9),(88276,7),(88277,9),(88278,4),(88279,6),(88280,7),(88281,7),(88282,8),(88283,9),(88284,2),(88285,3),(88286,6),(88287,5),(88288,6),(88289,9),(88290,9),(88291,7),(88292,4),(88293,7),(88294,5),(88295,7),(88296,8),(88297,9),(88298,6),(88299,5),(88300,4),(88301,5),(88302,3),(88303,9),(88304,3),(88305,3),(88306,3),(88307,1),(88308,6),(88309,3),(88310,1),(88311,3),(88312,4),(88313,5),(88314,1),(88315,3),(88316,7),(88317,6),(88318,4),(88319,9),(88320,7),(88321,7),(88322,9),(88323,9),(88324,6),(88325,5),(88326,5),(88327,9),(88328,5),(88329,4),(88330,9),(88331,1),(88332,6),(88333,7),(88334,2),(88335,2),(88336,7),(88337,5),(88338,7),(88339,4),(88340,3),(88341,2),(88342,3),(88343,4),(88344,6),(88345,2),(88346,2),(88347,5),(88348,6),(88349,9),(88350,8),(88351,5),(88352,4),(88353,5),(88354,5),(88355,6),(88356,2),(88357,2),(88358,8),(88359,3),(88360,6),(88361,5),(88362,2),(88363,4),(88364,6),(88365,7),(88366,5),(88367,8),(88368,2),(88369,2),(88370,3),(88371,8),(88372,1),(88373,6),(88374,9),(88375,2),(88376,3),(88377,9),(88378,2),(88379,4),(88380,2),(88381,5),(88382,3),(88383,7),(88384,1),(88385,8),(88386,2),(88387,2),(88388,9),(88389,6),(88390,5),(88391,7),(88392,9),(88393,3),(88394,5),(88395,1),(88396,3),(88397,1),(88398,1),(88399,5),(88400,7),(88401,2),(88402,9),(88403,3),(88404,8),(88405,3),(88406,9),(88407,6),(88408,1),(88409,9),(88410,9),(88411,6),(88412,7),(88413,3),(88414,2),(88415,5),(88416,8),(88417,2),(88418,1),(88419,4),(88420,6),(88421,5),(88422,7),(88423,9),(88424,9),(88425,9),(88426,8),(88427,5),(88428,4),(88429,5),(88430,2),(88431,5),(88432,8),(88433,5),(88434,3),(88435,4),(88436,1),(88437,5),(88438,1),(88439,5),(88440,8),(88441,4),(88442,2),(88443,6),(88444,6),(88445,6),(88446,2),(88447,3),(88448,1),(88449,8),(88450,3),(88451,7),(88452,4),(88453,3),(88454,4),(88455,2),(88456,5),(88457,4),(88458,6),(88459,2),(88460,9),(88461,5),(88462,5),(88463,8),(88464,6),(88465,8),(88466,2),(88467,5),(88468,7),(88469,5),(88470,1),(88471,4),(88472,9),(88473,4),(88474,7),(88475,7),(88476,9),(88477,3),(88478,4),(88479,7),(88480,4),(88481,2),(88482,9),(88483,7),(88484,7),(88485,8),(88486,8),(88487,9),(88488,3),(88489,5),(88490,4),(88491,9),(88492,6),(88493,3),(88494,4),(88495,7),(88496,9),(88497,6),(88498,2),(88499,7),(88500,7),(88501,8),(88502,6),(88503,6),(88504,5),(88505,1),(88506,9),(88507,5),(88508,9),(88509,5),(88510,9),(88511,8),(88512,2),(88513,5),(88514,8),(88515,3),(88516,3),(88517,9),(88518,8),(88519,4),(88520,7),(88521,5),(88522,4),(88523,4),(88524,8),(88525,7),(88526,4),(88527,4),(88528,8),(88529,4),(88530,6),(88531,8),(88532,9),(88533,4),(88534,8),(88535,5),(88536,6),(88537,5),(88538,4),(88539,6),(88540,3),(88541,2),(88542,2),(88543,3),(88544,1),(88545,5),(88546,9),(88547,4),(88548,3),(88549,6),(88550,1),(88551,8),(88552,8),(88553,2),(88554,1),(88555,9),(88556,3),(88557,7),(88558,3),(88559,8),(88560,1),(88561,6),(88562,4),(88563,5),(88564,1),(88565,4),(88566,9),(88567,8),(88568,5),(88569,2),(88570,8),(88571,2),(88572,1),(88573,8),(88574,3),(88575,9),(88576,8),(88577,4),(88578,9),(88579,9),(88580,5),(88581,8),(88582,8),(88583,6),(88584,1),(88585,9),(88586,3),(88587,6),(88588,3),(88589,5),(88590,3),(88591,7),(88592,4),(88593,6),(88594,2),(88595,4),(88596,6),(88597,6),(88598,1),(88599,5),(88600,2),(88601,1),(88602,6),(88603,8),(88604,6),(88605,2),(88606,1),(88607,4),(88608,9),(88609,5),(88610,6),(88611,5),(88612,8),(88613,9),(88614,2),(88615,6),(88616,4),(88617,5),(88618,9),(88619,4),(88620,4),(88621,9),(88622,4),(88623,3),(88624,1),(88625,3),(88626,6),(88627,2),(88628,4),(88629,6),(88630,7),(88631,9),(88632,8),(88633,5),(88634,8),(88635,3),(88636,5),(88637,3),(88638,8),(88639,4),(88640,5),(88641,6),(88642,3),(88643,9),(88644,2),(88645,3),(88646,7),(88647,5),(88648,3),(88649,1),(88650,4),(88651,4),(88652,1),(88653,3),(88654,9),(88655,6),(88656,1),(88657,8),(88658,6),(88659,1),(88660,5),(88661,6),(88662,3),(88663,2),(88664,5),(88665,8),(88666,4),(88667,8),(88668,3),(88669,4),(88670,1),(88671,6),(88672,3),(88673,8),(88674,9),(88675,8),(88676,3),(88677,7),(88678,2),(88679,2),(88680,9),(88681,7),(88682,3),(88683,2),(88684,4),(88685,8),(88686,4),(88687,9),(88688,6),(88689,1),(88690,5),(88691,9),(88692,9),(88693,3),(88694,7),(88695,1),(88696,6),(88697,4),(88698,4),(88699,3),(88700,2),(88701,9),(88702,2),(88703,5),(88704,7),(88705,5),(88706,2),(88707,2),(88708,1),(88709,5),(88710,9),(88711,5),(88712,2),(88713,9),(88714,6),(88715,7),(88716,4),(88717,5),(88718,1),(88719,4),(88720,8),(88721,6),(88722,4),(88723,8),(88724,3),(88725,8),(88726,9),(88727,1),(88728,3),(88729,4),(88730,6),(88731,1),(88732,9),(88733,7),(88734,2),(88735,5),(88736,5),(88737,7),(88738,9),(88739,8),(88740,3),(88741,8),(88742,7),(88743,6),(88744,9),(88745,9),(88746,5),(88747,9),(88748,9),(88749,2),(88750,8),(88751,5),(88752,9),(88753,2),(88754,5),(88755,9),(88756,5),(88757,9),(88758,2),(88759,3),(88760,2),(88761,9),(88762,7),(88763,1),(88764,5),(88765,2),(88766,4),(88767,8),(88768,4),(88769,9),(88770,3),(88771,2),(88772,2),(88773,1),(88774,7),(88775,2),(88776,3),(88777,5),(88778,3),(88779,3),(88780,9),(88781,8),(88782,8),(88783,1),(88784,9),(88785,1),(88786,1),(88787,9),(88788,9),(88789,1),(88790,5),(88791,7),(88792,8),(88793,2),(88794,3),(88795,8),(88796,9),(88797,6),(88798,4),(88799,8),(88800,2),(88801,2),(88802,5),(88803,1),(88804,3),(88805,6),(88806,8),(88807,4),(88808,1),(88809,5),(88810,5),(88811,8),(88812,6),(88813,3),(88814,5),(88815,4),(88816,9),(88817,2),(88818,8),(88819,6),(88820,1),(88821,6),(88822,8),(88823,5),(88824,5),(88825,4),(88826,9),(88827,6),(88828,7),(88829,6),(88830,3),(88831,7),(88832,9),(88833,6),(88834,5),(88835,4),(88836,1),(88837,8),(88838,3),(88839,6),(88840,4),(88841,2),(88842,9),(88843,6),(88844,3),(88845,3),(88846,8),(88847,9),(88848,3),(88849,1),(88850,8),(88851,2),(88852,6),(88853,4),(88854,2),(88855,3),(88856,6),(88857,2),(88858,9),(88859,8),(88860,6),(88861,8),(88862,3),(88863,5),(88864,9),(88865,9),(88866,8),(88867,7),(88868,6),(88869,5),(88870,6),(88871,3),(88872,9),(88873,6),(88874,9),(88875,9),(88876,8),(88877,8),(88878,2),(88879,4),(88880,8),(88881,1),(88882,8),(88883,6),(88884,8),(88885,7),(88886,8),(88887,2),(88888,6),(88889,4),(88890,3),(88891,4),(88892,8),(88893,5),(88894,8),(88895,2),(88896,8),(88897,3),(88898,1),(88899,7),(88900,1),(88901,3),(88902,5),(88903,1),(88904,2),(88905,1),(88906,1),(88907,8),(88908,6),(88909,3),(88910,1),(88911,5),(88912,6),(88913,1),(88914,1),(88915,5),(88916,5),(88917,5),(88918,5),(88919,7),(88920,3),(88921,6),(88922,1),(88923,6),(88924,6),(88925,5),(88926,6),(88927,6),(88928,2),(88929,4),(88930,4),(88931,5),(88932,3),(88933,5),(88934,8),(88935,4),(88936,1),(88937,5),(88938,1),(88939,3),(88940,8),(88941,5),(88942,2),(88943,5),(88944,9),(88945,3),(88946,6),(88947,8),(88948,8),(88949,7),(88950,5),(88951,8),(88952,4),(88953,7),(88954,9),(88955,2),(88956,6),(88957,5),(88958,5),(88959,3),(88960,1),(88961,5),(88962,7),(88963,1),(88964,1),(88965,6),(88966,9),(88967,7),(88968,1),(88969,8),(88970,4),(88971,9),(88972,8),(88973,8),(88974,8),(88975,7),(88976,9),(88977,9),(88978,4),(88979,3),(88980,7),(88981,1),(88982,4),(88983,6),(88984,6),(88985,2),(88986,5),(88987,2),(88988,5),(88989,4),(88990,2),(88991,7),(88992,3),(88993,1),(88994,7),(88995,4),(88996,2),(88997,8),(88998,8),(88999,3),(89000,9),(89001,1),(89002,9),(89003,1),(89004,3),(89005,7),(89006,8),(89007,2),(89008,7),(89009,9),(89010,9),(89011,6),(89012,9),(89013,5),(89014,3),(89015,4),(89016,5),(89017,5),(89018,8),(89019,4),(89020,8),(89021,5),(89022,9),(89023,5),(89024,1),(89025,4),(89026,1),(89027,8),(89028,3),(89029,8),(89030,4),(89031,3),(89032,7),(89033,1),(89034,7),(89035,1),(89036,5),(89037,7),(89038,9),(89039,1),(89040,2),(89041,7),(89042,6),(89043,8),(89044,2),(89045,2),(89046,2),(89047,9),(89048,2),(89049,1),(89050,1),(89051,7),(89052,4),(89053,1),(89054,9),(89055,6),(89056,9),(89057,1),(89058,3),(89059,3),(89060,1),(89061,8),(89062,7),(89063,9),(89064,7),(89065,4),(89066,1),(89067,1),(89068,5),(89069,7),(89070,2),(89071,9),(89072,9),(89073,7),(89074,2),(89075,4),(89076,9),(89077,3),(89078,6),(89079,9),(89080,4),(89081,7),(89082,7),(89083,4),(89084,1),(89085,5),(89086,7),(89087,7),(89088,3),(89089,1),(89090,1),(89091,8),(89092,8),(89093,6),(89094,1),(89095,7),(89096,9),(89097,3),(89098,5),(89099,6),(89100,8),(89101,7),(89102,2),(89103,1),(89104,8),(89105,5),(89106,1),(89107,5),(89108,7),(89109,6),(89110,3),(89111,3),(89112,6),(89113,9),(89114,3),(89115,7),(89116,6),(89117,7),(89118,1),(89119,4),(89120,9),(89121,1),(89122,9),(89123,5),(89124,6),(89125,4),(89126,3),(89127,6),(89128,9),(89129,4),(89130,2),(89131,9),(89132,1),(89133,6),(89134,4),(89135,8),(89136,9),(89137,8),(89138,2),(89139,8),(89140,1),(89141,3),(89142,6),(89143,8),(89144,6),(89145,4),(89146,1),(89147,4),(89148,1),(89149,6),(89150,5),(89151,4),(89152,3),(89153,6),(89154,6),(89155,6),(89156,7),(89157,2),(89158,2),(89159,7),(89160,3),(89161,8),(89162,5),(89163,1),(89164,8),(89165,7),(89166,2),(89167,3),(89168,7),(89169,5),(89170,3),(89171,3),(89172,1),(89173,6),(89174,8),(89175,2),(89176,1),(89177,1),(89178,6),(89179,9),(89180,7),(89181,5),(89182,6),(89183,8),(89184,4),(89185,7),(89186,6),(89187,1),(89188,6),(89189,5),(89190,8),(89191,7),(89192,3),(89193,8),(89194,3),(89195,8),(89196,3),(89197,2),(89198,4),(89199,6),(89200,2),(89201,3),(89202,9),(89203,6),(89204,5),(89205,5),(89206,3),(89207,8),(89208,7),(89209,6),(89210,1),(89211,2),(89212,4),(89213,9),(89214,8),(89215,7),(89216,3),(89217,8),(89218,8),(89219,6),(89220,2),(89221,8),(89222,3),(89223,2),(89224,1),(89225,5),(89226,2),(89227,1),(89228,4),(89229,9),(89230,1),(89231,4),(89232,8),(89233,2),(89234,4),(89235,5),(89236,7),(89237,2),(89238,6),(89239,4),(89240,9),(89241,6),(89242,1),(89243,2),(89244,4),(89245,1),(89246,3),(89247,1),(89248,8),(89249,9),(89250,7),(89251,9),(89252,7),(89253,4),(89254,1),(89255,1),(89256,8),(89257,4),(89258,3),(89259,1),(89260,9),(89261,6),(89262,7),(89263,6),(89264,2),(89265,9),(89266,4),(89267,5),(89268,1),(89269,4),(89270,7),(89271,1),(89272,2),(89273,5),(89274,7),(89275,2),(89276,4),(89277,5),(89278,4),(89279,3),(89280,5),(89281,1),(89282,7),(89283,6),(89284,8),(89285,8),(89286,7),(89287,8),(89288,5),(89289,6),(89290,5),(89291,3),(89292,8),(89293,8),(89294,6),(89295,2),(89296,5),(89297,5),(89298,9),(89299,7),(89300,5),(89301,3),(89302,4),(89303,4),(89304,2),(89305,4),(89306,8),(89307,2),(89308,7),(89309,5),(89310,5),(89311,6),(89312,2),(89313,7),(89314,2),(89315,4),(89316,5),(89317,9),(89318,9),(89319,5),(89320,4),(89321,7),(89322,4),(89323,3),(89324,7),(89325,4),(89326,5),(89327,5),(89328,1),(89329,2),(89330,1),(89331,4),(89332,7),(89333,1),(89334,8),(89335,2),(89336,5),(89337,3),(89338,8),(89339,7),(89340,9),(89341,5),(89342,8),(89343,7),(89344,7),(89345,6),(89346,8),(89347,2),(89348,2),(89349,4),(89350,9),(89351,2),(89352,7),(89353,8),(89354,3),(89355,1),(89356,4),(89357,5),(89358,2),(89359,2),(89360,9),(89361,1),(89362,9),(89363,7),(89364,5),(89365,9),(89366,9),(89367,6),(89368,9),(89369,8),(89370,6),(89371,6),(89372,4),(89373,5),(89374,3),(89375,2),(89376,5),(89377,4),(89378,8),(89379,7),(89380,7),(89381,2),(89382,7),(89383,5),(89384,2),(89385,2),(89386,3),(89387,8),(89388,9),(89389,3),(89390,6),(89391,4),(89392,6),(89393,9),(89394,6),(89395,2),(89396,2),(89397,4),(89398,5),(89399,8),(89400,5),(89401,5),(89402,3),(89403,8),(89404,5),(89405,6),(89406,1),(89407,9),(89408,6),(89409,8),(89410,1),(89411,1),(89412,2),(89413,4),(89414,6),(89415,1),(89416,3),(89417,9),(89418,1),(89419,9),(89420,2),(89421,3),(89422,3),(89423,8),(89424,2),(89425,1),(89426,6),(89427,7),(89428,2),(89429,8),(89430,2),(89431,7),(89432,7),(89433,5),(89434,8),(89435,6),(89436,6),(89437,4),(89438,4),(89439,7),(89440,1),(89441,8),(89442,7),(89443,9),(89444,3),(89445,5),(89446,1),(89447,9),(89448,3),(89449,2),(89450,5),(89451,6),(89452,9),(89453,3),(89454,3),(89455,5),(89456,6),(89457,5),(89458,8),(89459,2),(89460,3),(89461,2),(89462,5),(89463,3),(89464,9),(89465,4),(89466,5),(89467,3),(89468,9),(89469,5),(89470,1),(89471,6),(89472,2),(89473,5),(89474,4),(89475,3),(89476,4),(89477,5),(89478,3),(89479,2),(89480,7),(89481,4),(89482,5),(89483,8),(89484,3),(89485,4),(89486,9),(89487,5),(89488,3),(89489,5),(89490,8),(89491,4),(89492,6),(89493,3),(89494,1),(89495,3),(89496,1),(89497,7),(89498,9),(89499,1),(89500,7),(89501,7),(89502,1),(89503,3),(89504,2),(89505,4),(89506,2),(89507,7),(89508,8),(89509,1),(89510,8),(89511,1),(89512,1),(89513,6),(89514,1),(89515,8),(89516,4),(89517,5),(89518,2),(89519,2),(89520,7),(89521,3),(89522,6),(89523,1),(89524,6),(89525,3),(89526,5),(89527,8),(89528,1),(89529,3),(89530,6),(89531,2),(89532,9),(89533,5),(89534,4),(89535,5),(89536,4),(89537,6),(89538,5),(89539,9),(89540,5),(89541,3),(89542,9),(89543,1),(89544,4),(89545,3),(89546,8),(89547,9),(89548,2),(89549,2),(89550,4),(89551,7),(89552,8),(89553,7),(89554,5),(89555,7),(89556,3),(89557,7),(89558,1),(89559,5),(89560,6),(89561,2),(89562,7),(89563,8),(89564,1),(89565,8),(89566,2),(89567,2),(89568,1),(89569,7),(89570,4),(89571,6),(89572,3),(89573,3),(89574,4),(89575,6),(89576,7),(89577,6),(89578,3),(89579,4),(89580,4),(89581,9),(89582,1),(89583,2),(89584,3),(89585,2),(89586,6),(89587,7),(89588,4),(89589,1),(89590,7),(89591,1),(89592,6),(89593,1),(89594,1),(89595,9),(89596,7),(89597,4),(89598,7),(89599,6),(89600,4),(89601,7),(89602,9),(89603,6),(89604,9),(89605,1),(89606,3),(89607,4),(89608,2),(89609,4),(89610,8),(89611,9),(89612,8),(89613,3),(89614,5),(89615,7),(89616,3),(89617,6),(89618,7),(89619,9),(89620,5),(89621,8),(89622,7),(89623,3),(89624,1),(89625,8),(89626,6),(89627,1),(89628,5),(89629,4),(89630,6),(89631,8),(89632,9),(89633,2),(89634,6),(89635,4),(89636,4),(89637,1),(89638,9),(89639,3),(89640,4),(89641,8),(89642,9),(89643,5),(89644,6),(89645,2),(89646,1),(89647,2),(89648,8),(89649,6),(89650,8),(89651,9),(89652,5),(89653,2),(89654,7),(89655,5),(89656,3),(89657,4),(89658,5),(89659,9),(89660,9),(89661,2),(89662,3),(89663,7),(89664,7),(89665,4),(89666,7),(89667,6),(89668,8),(89669,1),(89670,8),(89671,9),(89672,6),(89673,7),(89674,6),(89675,7),(89676,6),(89677,9),(89678,5),(89679,2),(89680,4),(89681,3),(89682,6),(89683,5),(89684,2),(89685,4),(89686,2),(89687,7),(89688,9),(89689,9),(89690,1),(89691,9),(89692,6),(89693,9),(89694,8),(89695,3),(89696,3),(89697,1),(89698,9),(89699,2),(89700,1),(89701,9),(89702,3),(89703,2),(89704,5),(89705,6),(89706,5),(89707,3),(89708,2),(89709,9),(89710,2),(89711,9),(89712,5),(89713,9),(89714,4),(89715,5),(89716,6),(89717,4),(89718,6),(89719,2),(89720,7),(89721,3),(89722,6),(89723,9),(89724,7),(89725,8),(89726,5),(89727,6),(89728,9),(89729,6),(89730,1),(89731,4),(89732,1),(89733,1),(89734,4),(89735,6),(89736,5),(89737,2),(89738,7),(89739,7),(89740,3),(89741,7),(89742,7),(89743,2),(89744,9),(89745,7),(89746,4),(89747,9),(89748,2),(89749,4),(89750,7),(89751,8),(89752,9),(89753,5),(89754,4),(89755,9),(89756,8),(89757,2),(89758,5),(89759,6),(89760,3),(89761,6),(89762,5),(89763,7),(89764,9),(89765,8),(89766,7),(89767,9),(89768,5),(89769,9),(89770,8),(89771,7),(89772,8),(89773,6),(89774,1),(89775,8),(89776,6),(89777,7),(89778,6),(89779,7),(89780,3),(89781,4),(89782,9),(89783,3),(89784,9),(89785,4),(89786,5),(89787,9),(89788,3),(89789,2),(89790,8),(89791,1),(89792,5),(89793,1),(89794,1),(89795,9),(89796,3),(89797,2),(89798,5),(89799,6),(89800,8),(89801,1),(89802,3),(89803,8),(89804,3),(89805,8),(89806,5),(89807,4),(89808,1),(89809,8),(89810,1),(89811,9),(89812,7),(89813,1),(89814,6),(89815,4),(89816,1),(89817,4),(89818,4),(89819,1),(89820,5),(89821,6),(89822,3),(89823,7),(89824,6),(89825,2),(89826,7),(89827,5),(89828,2),(89829,1),(89830,2),(89831,4),(89832,6),(89833,5),(89834,6),(89835,5),(89836,9),(89837,3),(89838,3),(89839,7),(89840,8),(89841,2),(89842,5),(89843,5),(89844,2),(89845,6),(89846,5),(89847,2),(89848,3),(89849,3),(89850,5),(89851,1),(89852,2),(89853,2),(89854,2),(89855,5),(89856,4),(89857,9),(89858,7),(89859,1),(89860,4),(89861,4),(89862,5),(89863,5),(89864,6),(89865,3),(89866,5),(89867,7),(89868,9),(89869,5),(89870,5),(89871,1),(89872,3),(89873,6),(89874,5),(89875,5),(89876,1),(89877,4),(89878,8),(89879,6),(89880,4),(89881,1),(89882,4),(89883,9),(89884,7),(89885,8),(89886,8),(89887,7),(89888,3),(89889,3),(89890,6),(89891,3),(89892,4),(89893,2),(89894,1),(89895,6),(89896,5),(89897,9),(89898,4),(89899,8),(89900,4),(89901,5),(89902,8),(89903,8),(89904,5),(89905,3),(89906,5),(89907,9),(89908,9),(89909,7),(89910,5),(89911,2),(89912,9),(89913,9),(89914,1),(89915,5),(89916,5),(89917,8),(89918,3),(89919,5),(89920,4),(89921,3),(89922,5),(89923,1),(89924,1),(89925,7),(89926,7),(89927,2),(89928,3),(89929,4),(89930,9),(89931,8),(89932,5),(89933,8),(89934,4),(89935,8),(89936,6),(89937,4),(89938,8),(89939,2),(89940,7),(89941,5),(89942,9),(89943,5),(89944,4),(89945,9),(89946,4),(89947,3),(89948,9),(89949,3),(89950,8),(89951,4),(89952,1),(89953,3),(89954,5),(89955,4),(89956,8),(89957,2),(89958,3),(89959,3),(89960,8),(89961,5),(89962,2),(89963,4),(89964,5),(89965,6),(89966,8),(89967,3),(89968,3),(89969,7),(89970,7),(89971,9),(89972,4),(89973,6),(89974,1),(89975,4),(89976,5),(89977,1),(89978,6),(89979,5),(89980,9),(89981,1),(89982,1),(89983,5),(89984,2),(89985,8),(89986,3),(89987,4),(89988,1),(89989,7),(89990,1),(89991,8),(89992,9),(89993,2),(89994,8),(89995,6),(89996,3),(89997,8),(89998,3),(89999,9),(90000,6),(90001,4),(90002,7),(90003,3),(90004,3),(90005,6),(90006,2),(90007,6),(90008,5),(90009,6),(90010,4),(90011,6),(90012,9),(90013,2),(90014,6),(90015,3),(90016,7),(90017,9),(90018,5),(90019,9),(90020,6),(90021,7),(90022,5),(90023,5),(90024,6),(90025,2),(90026,7),(90027,1),(90028,1),(90029,2),(90030,8),(90031,7),(90032,6),(90033,1),(90034,3),(90035,2),(90036,2),(90037,5),(90038,8),(90039,7),(90040,7),(90041,4),(90042,2),(90043,3),(90044,2),(90045,1),(90046,8),(90047,9),(90048,6),(90049,9),(90050,9),(90051,8),(90052,2),(90053,2),(90054,3),(90055,6),(90056,9),(90057,9),(90058,6),(90059,1),(90060,2),(90061,5),(90062,1),(90063,5),(90064,5),(90065,2),(90066,4),(90067,7),(90068,7),(90069,4),(90070,8),(90071,5),(90072,2),(90073,4),(90074,5),(90075,1),(90076,4),(90077,3),(90078,1),(90079,4),(90080,1),(90081,1),(90082,7),(90083,4),(90084,7),(90085,8),(90086,5),(90087,2),(90088,1),(90089,1),(90090,6),(90091,4),(90092,2),(90093,8),(90094,9),(90095,5),(90096,4),(90097,2),(90098,9),(90099,8),(90100,4),(90101,8),(90102,8),(90103,7),(90104,5),(90105,9),(90106,4),(90107,7),(90108,6),(90109,9),(90110,8),(90111,7),(90112,7),(90113,2),(90114,6),(90115,9),(90116,8),(90117,3),(90118,2),(90119,9),(90120,7),(90121,8),(90122,4),(90123,1),(90124,1),(90125,5),(90126,1),(90127,7),(90128,4),(90129,9),(90130,8),(90131,8),(90132,8),(90133,7),(90134,5),(90135,4),(90136,5),(90137,5),(90138,8),(90139,3),(90140,4),(90141,4),(90142,9),(90143,8),(90144,6),(90145,5),(90146,4),(90147,8),(90148,6),(90149,4),(90150,8),(90151,7),(90152,7),(90153,9),(90154,8),(90155,5),(90156,5),(90157,4),(90158,6),(90159,5),(90160,5),(90161,1),(90162,5),(90163,7),(90164,1),(90165,9),(90166,6),(90167,2),(90168,4),(90169,5),(90170,5),(90171,7),(90172,7),(90173,2),(90174,9),(90175,7),(90176,6),(90177,5),(90178,2),(90179,7),(90180,6),(90181,4),(90182,4),(90183,5),(90184,5),(90185,5),(90186,5),(90187,4),(90188,6),(90189,4),(90190,9),(90191,6),(90192,5),(90193,3),(90194,5),(90195,9),(90196,9),(90197,7),(90198,6),(90199,3),(90200,4),(90201,8),(90202,1),(90203,4),(90204,4),(90205,3),(90206,4),(90207,7),(90208,7),(90209,9),(90210,1),(90211,6),(90212,3),(90213,8),(90214,7),(90215,8),(90216,7),(90217,9),(90218,1),(90219,5),(90220,6),(90221,2),(90222,3),(90223,9),(90224,5),(90225,1),(90226,9),(90227,2),(90228,5),(90229,2),(90230,9),(90231,3),(90232,7),(90233,8),(90234,8),(90235,2),(90236,5),(90237,6),(90238,9),(90239,7),(90240,1),(90241,6),(90242,5),(90243,3),(90244,2),(90245,7),(90246,5),(90247,9),(90248,5),(90249,2),(90250,9),(90251,5),(90252,2),(90253,6),(90254,7),(90255,8),(90256,8),(90257,1),(90258,9),(90259,6),(90260,8),(90261,5),(90262,3),(90263,6),(90264,8),(90265,2),(90266,6),(90267,9),(90268,6),(90269,4),(90270,6),(90271,7),(90272,1),(90273,2),(90274,5),(90275,6),(90276,6),(90277,6),(90278,7),(90279,8),(90280,7),(90281,2),(90282,2),(90283,8),(90284,5),(90285,2),(90286,6),(90287,2),(90288,6),(90289,9),(90290,2),(90291,8),(90292,8),(90293,3),(90294,3),(90295,5),(90296,6),(90297,6),(90298,4),(90299,9),(90300,5),(90301,2),(90302,8),(90303,5),(90304,6),(90305,7),(90306,4),(90307,7),(90308,9),(90309,3),(90310,2),(90311,6),(90312,1),(90313,6),(90314,9),(90315,3),(90316,3),(90317,3),(90318,2),(90319,5),(90320,5),(90321,1),(90322,2),(90323,2),(90324,1),(90325,9),(90326,1),(90327,9),(90328,7),(90329,6),(90330,3),(90331,2),(90332,7),(90333,6),(90334,1),(90335,3),(90336,4),(90337,5),(90338,6),(90339,1),(90340,3),(90341,6),(90342,7),(90343,6),(90344,3),(90345,6),(90346,9),(90347,1),(90348,1),(90349,2),(90350,2),(90351,8),(90352,1),(90353,7),(90354,3),(90355,6),(90356,3),(90357,9),(90358,3),(90359,5),(90360,5),(90361,9),(90362,3),(90363,4),(90364,6),(90365,9),(90366,8),(90367,2),(90368,3),(90369,2),(90370,3),(90371,1),(90372,4),(90373,5),(90374,5),(90375,2),(90376,4),(90377,8),(90378,9),(90379,2),(90380,6),(90381,2),(90382,4),(90383,3),(90384,4),(90385,9),(90386,9),(90387,7),(90388,1),(90389,6),(90390,4),(90391,3),(90392,5),(90393,9),(90394,8),(90395,9),(90396,7),(90397,9),(90398,8),(90399,5),(90400,8),(90401,3),(90402,1),(90403,9),(90404,5),(90405,9),(90406,7),(90407,3),(90408,2),(90409,8),(90410,4),(90411,7),(90412,8),(90413,3),(90414,9),(90415,6),(90416,1),(90417,5),(90418,2),(90419,3),(90420,5),(90421,1),(90422,9),(90423,6),(90424,3),(90425,4),(90426,2),(90427,2),(90428,2),(90429,4),(90430,2),(90431,7),(90432,9),(90433,6),(90434,3),(90435,3),(90436,8),(90437,7),(90438,9),(90439,3),(90440,4),(90441,9),(90442,1),(90443,7),(90444,9),(90445,6),(90446,4),(90447,4),(90448,7),(90449,1),(90450,2),(90451,7),(90452,9),(90453,6),(90454,6),(90455,6),(90456,4),(90457,4),(90458,2),(90459,2),(90460,8),(90461,7),(90462,8),(90463,5),(90464,3),(90465,2),(90466,8),(90467,9),(90468,5),(90469,7),(90470,7),(90471,1),(90472,7),(90473,9),(90474,2),(90475,3),(90476,4),(90477,1),(90478,5),(90479,6),(90480,5),(90481,9),(90482,4),(90483,5),(90484,7),(90485,3),(90486,5),(90487,8),(90488,7),(90489,5),(90490,2),(90491,7),(90492,9),(90493,2),(90494,8),(90495,6),(90496,6),(90497,2),(90498,3),(90499,5),(90500,3),(90501,8),(90502,9),(90503,2),(90504,5),(90505,4),(90506,6),(90507,8),(90508,5),(90509,5),(90510,8),(90511,4),(90512,8),(90513,1),(90514,7),(90515,6),(90516,4),(90517,4),(90518,2),(90519,2),(90520,2),(90521,6),(90522,4),(90523,2),(90524,8),(90525,2),(90526,8),(90527,8),(90528,3),(90529,3),(90530,7),(90531,1),(90532,9),(90533,2),(90534,9),(90535,3),(90536,5),(90537,9),(90538,2),(90539,4),(90540,8),(90541,7),(90542,8),(90543,7),(90544,7),(90545,9),(90546,5),(90547,9),(90548,7),(90549,1),(90550,4),(90551,4),(90552,1),(90553,7),(90554,9),(90555,4),(90556,2),(90557,5),(90558,4),(90559,6),(90560,5),(90561,8),(90562,8),(90563,4),(90564,9),(90565,5),(90566,6),(90567,2),(90568,4),(90569,6),(90570,4),(90571,2),(90572,3),(90573,2),(90574,2),(90575,6),(90576,6),(90577,2),(90578,1),(90579,4),(90580,6),(90581,3),(90582,3),(90583,5),(90584,5),(90585,3),(90586,2),(90587,2),(90588,4),(90589,9),(90590,4),(90591,9),(90592,6),(90593,8),(90594,8),(90595,2),(90596,4),(90597,7),(90598,9),(90599,5),(90600,9),(90601,1),(90602,5),(90603,1),(90604,6),(90605,1),(90606,6),(90607,5),(90608,4),(90609,8),(90610,2),(90611,5),(90612,5),(90613,1),(90614,6),(90615,3),(90616,2),(90617,7),(90618,4),(90619,7),(90620,3),(90621,1),(90622,5),(90623,4),(90624,5),(90625,1),(90626,5),(90627,8),(90628,3),(90629,7),(90630,5),(90631,9),(90632,5),(90633,5),(90634,5),(90635,4),(90636,1),(90637,2),(90638,3),(90639,4),(90640,9),(90641,7),(90642,5),(90643,8),(90644,7),(90645,7),(90646,8),(90647,8),(90648,3),(90649,9),(90650,9),(90651,8),(90652,6),(90653,6),(90654,9),(90655,9),(90656,8),(90657,3),(90658,2),(90659,2),(90660,1),(90661,5),(90662,5),(90663,1),(90664,6),(90665,3),(90666,5),(90667,1),(90668,9),(90669,3),(90670,4),(90671,7),(90672,3),(90673,2),(90674,2),(90675,4),(90676,7),(90677,1),(90678,5),(90679,1),(90680,6),(90681,2),(90682,8),(90683,2),(90684,9),(90685,6),(90686,8),(90687,6),(90688,3),(90689,8),(90690,6),(90691,5),(90692,9),(90693,7),(90694,4),(90695,8),(90696,3),(90697,7),(90698,8),(90699,6),(90700,7),(90701,3),(90702,4),(90703,5),(90704,9),(90705,6),(90706,1),(90707,6),(90708,1),(90709,5),(90710,2),(90711,1),(90712,3),(90713,6),(90714,1),(90715,6),(90716,3),(90717,8),(90718,4),(90719,3),(90720,4),(90721,9),(90722,1),(90723,8),(90724,3),(90725,2),(90726,8),(90727,1),(90728,2),(90729,9),(90730,6),(90731,1),(90732,1),(90733,2),(90734,5),(90735,1),(90736,3),(90737,3),(90738,4),(90739,8),(90740,6),(90741,7),(90742,4),(90743,6),(90744,2),(90745,6),(90746,9),(90747,3),(90748,1),(90749,8),(90750,8),(90751,7),(90752,4),(90753,6),(90754,2),(90755,5),(90756,6),(90757,4),(90758,4),(90759,2),(90760,8),(90761,8),(90762,2),(90763,7),(90764,5),(90765,6),(90766,5),(90767,2),(90768,1),(90769,2),(90770,9),(90771,2),(90772,8),(90773,4),(90774,8),(90775,2),(90776,7),(90777,7),(90778,1),(90779,3),(90780,7),(90781,8),(90782,3),(90783,8),(90784,6),(90785,5),(90786,2),(90787,5),(90788,1),(90789,1),(90790,1),(90791,5),(90792,2),(90793,7),(90794,7),(90795,5),(90796,5),(90797,7),(90798,1),(90799,8),(90800,8),(90801,5),(90802,8),(90803,5),(90804,8),(90805,3),(90806,5),(90807,8),(90808,2),(90809,3),(90810,6),(90811,9),(90812,9),(90813,8),(90814,9),(90815,9),(90816,2),(90817,4),(90818,4),(90819,8),(90820,4),(90821,7),(90822,5),(90823,2),(90824,4),(90825,4),(90826,2),(90827,7),(90828,5),(90829,3),(90830,3),(90831,7),(90832,5),(90833,5),(90834,6),(90835,8),(90836,2),(90837,9),(90838,7),(90839,4),(90840,5),(90841,6),(90842,9),(90843,5),(90844,5),(90845,1),(90846,8),(90847,4),(90848,3),(90849,9),(90850,7),(90851,9),(90852,6),(90853,1),(90854,2),(90855,1),(90856,5),(90857,8),(90858,4),(90859,5),(90860,9),(90861,1),(90862,7),(90863,6),(90864,9),(90865,9),(90866,4),(90867,5),(90868,5),(90869,1),(90870,4),(90871,7),(90872,6),(90873,2),(90874,9),(90875,5),(90876,6),(90877,6),(90878,4),(90879,6),(90880,8),(90881,6),(90882,7),(90883,2),(90884,9),(90885,6),(90886,1),(90887,6),(90888,8),(90889,6),(90890,9),(90891,8),(90892,2),(90893,1),(90894,5),(90895,3),(90896,7),(90897,2),(90898,3),(90899,1),(90900,6),(90901,1),(90902,8),(90903,9),(90904,3),(90905,5),(90906,9),(90907,1),(90908,1),(90909,3),(90910,8),(90911,1),(90912,6),(90913,3),(90914,9),(90915,7),(90916,6),(90917,8),(90918,7),(90919,6),(90920,2),(90921,2),(90922,7),(90923,4),(90924,6),(90925,9),(90926,3),(90927,8),(90928,2),(90929,4),(90930,1),(90931,2),(90932,3),(90933,2),(90934,5),(90935,5),(90936,6),(90937,5),(90938,7),(90939,4),(90940,1),(90941,8),(90942,4),(90943,4),(90944,8),(90945,8),(90946,8),(90947,3),(90948,9),(90949,9),(90950,3),(90951,5),(90952,2),(90953,9),(90954,7),(90955,5),(90956,2),(90957,1),(90958,9),(90959,2),(90960,9),(90961,1),(90962,9),(90963,9),(90964,1),(90965,3),(90966,9),(90967,5),(90968,9),(90969,5),(90970,4),(90971,3),(90972,1),(90973,1),(90974,7),(90975,5),(90976,2),(90977,3),(90978,5),(90979,7),(90980,8),(90981,6),(90982,7),(90983,7),(90984,6),(90985,3),(90986,6),(90987,7),(90988,9),(90989,7),(90990,9),(90991,4),(90992,3),(90993,9),(90994,6),(90995,8),(90996,6),(90997,5),(90998,5),(90999,3),(91000,5),(91001,5),(91002,8),(91003,9),(91004,8),(91005,6),(91006,4),(91007,4),(91008,7),(91009,1),(91010,7),(91011,5),(91012,2),(91013,7),(91014,1),(91015,2),(91016,5),(91017,1),(91018,6),(91019,9),(91020,5),(91021,7),(91022,2),(91023,9),(91024,1),(91025,2),(91026,7),(91027,1),(91028,8),(91029,3),(91030,4),(91031,6),(91032,2),(91033,4),(91034,9),(91035,3),(91036,7),(91037,4),(91038,5),(91039,4),(91040,3),(91041,4),(91042,6),(91043,4),(91044,5),(91045,7),(91046,1),(91047,5),(91048,8),(91049,5),(91050,6),(91051,6),(91052,5),(91053,9),(91054,3),(91055,2),(91056,4),(91057,5),(91058,4),(91059,4),(91060,9),(91061,6),(91062,8),(91063,9),(91064,7),(91065,8),(91066,2),(91067,1),(91068,3),(91069,5),(91070,9),(91071,9),(91072,2),(91073,5),(91074,3),(91075,4),(91076,4),(91077,2),(91078,8),(91079,5),(91080,1),(91081,5),(91082,4),(91083,8),(91084,4),(91085,8),(91086,5),(91087,6),(91088,6),(91089,3),(91090,1),(91091,1),(91092,5),(91093,3),(91094,9),(91095,3),(91096,9),(91097,6),(91098,5),(91099,9),(91100,2),(91101,5),(91102,6),(91103,2),(91104,3),(91105,3),(91106,7),(91107,8),(91108,2),(91109,6),(91110,9),(91111,6),(91112,5),(91113,4),(91114,1),(91115,5),(91116,8),(91117,3),(91118,8),(91119,3),(91120,7),(91121,6),(91122,9),(91123,2),(91124,7),(91125,5),(91126,5),(91127,7),(91128,5),(91129,1),(91130,8),(91131,4),(91132,7),(91133,5),(91134,2),(91135,5),(91136,7),(91137,9),(91138,2),(91139,1),(91140,7),(91141,9),(91142,1),(91143,8),(91144,5),(91145,7),(91146,7),(91147,5),(91148,9),(91149,4),(91150,2),(91151,3),(91152,9),(91153,7),(91154,1),(91155,4),(91156,5),(91157,7),(91158,5),(91159,1),(91160,2),(91161,1),(91162,7),(91163,9),(91164,7),(91165,8),(91166,2),(91167,1),(91168,5),(91169,3),(91170,5),(91171,3),(91172,7),(91173,6),(91174,7),(91175,9),(91176,1),(91177,2),(91178,7),(91179,1),(91180,2),(91181,8),(91182,8),(91183,7),(91184,6),(91185,4),(91186,6),(91187,2),(91188,3),(91189,4),(91190,8),(91191,7),(91192,8),(91193,1),(91194,9),(91195,9),(91196,1),(91197,9),(91198,1),(91199,6),(91200,7),(91201,6),(91202,5),(91203,9),(91204,9),(91205,1),(91206,4),(91207,2),(91208,4),(91209,8),(91210,2),(91211,4),(91212,2),(91213,4),(91214,3),(91215,2),(91216,1),(91217,5),(91218,7),(91219,1),(91220,8),(91221,8),(91222,5),(91223,8),(91224,2),(91225,7),(91226,6),(91227,4),(91228,4),(91229,4),(91230,6),(91231,4),(91232,4),(91233,5),(91234,1),(91235,2),(91236,2),(91237,7),(91238,3),(91239,5),(91240,3),(91241,1),(91242,4),(91243,8),(91244,3),(91245,5),(91246,8),(91247,7),(91248,2),(91249,6),(91250,5),(91251,1),(91252,5),(91253,2),(91254,6),(91255,3),(91256,7),(91257,2),(91258,4),(91259,2),(91260,8),(91261,4),(91262,9),(91263,8),(91264,6),(91265,1),(91266,7),(91267,6),(91268,9),(91269,7),(91270,9),(91271,6),(91272,5),(91273,6),(91274,6),(91275,7),(91276,5),(91277,7),(91278,9),(91279,3),(91280,4),(91281,9),(91282,7),(91283,8),(91284,3),(91285,7),(91286,5),(91287,4),(91288,7),(91289,2),(91290,6),(91291,4),(91292,3),(91293,4),(91294,8),(91295,4),(91296,7),(91297,1),(91298,3),(91299,1),(91300,9),(91301,7),(91302,5),(91303,6),(91304,2),(91305,6),(91306,3),(91307,7),(91308,4),(91309,3),(91310,7),(91311,5),(91312,3),(91313,5),(91314,7),(91315,6),(91316,6),(91317,3),(91318,2),(91319,7),(91320,7),(91321,9),(91322,1),(91323,8),(91324,5),(91325,8),(91326,8),(91327,5),(91328,9),(91329,4),(91330,5),(91331,7),(91332,6),(91333,6),(91334,1),(91335,9),(91336,2),(91337,9),(91338,8),(91339,4),(91340,7),(91341,6),(91342,6),(91343,1),(91344,4),(91345,6),(91346,8),(91347,9),(91348,4),(91349,3),(91350,4),(91351,6),(91352,6),(91353,2),(91354,5),(91355,5),(91356,3),(91357,3),(91358,8),(91359,1),(91360,2),(91361,5),(91362,5),(91363,6),(91364,2),(91365,3),(91366,2),(91367,7),(91368,7),(91369,5),(91370,5),(91371,9),(91372,6),(91373,4),(91374,6),(91375,6),(91376,7),(91377,9),(91378,3),(91379,6),(91380,2),(91381,1),(91382,9),(91383,1),(91384,4),(91385,5),(91386,8),(91387,9),(91388,9),(91389,8),(91390,6),(91391,8),(91392,9),(91393,3),(91394,1),(91395,5),(91396,6),(91397,9),(91398,3),(91399,8),(91400,4),(91401,7),(91402,8),(91403,8),(91404,6),(91405,1),(91406,9),(91407,7),(91408,7),(91409,8),(91410,6),(91411,9),(91412,4),(91413,8),(91414,5),(91415,4),(91416,9),(91417,1),(91418,4),(91419,8),(91420,3),(91421,7),(91422,6),(91423,8),(91424,8),(91425,7),(91426,4),(91427,9),(91428,7),(91429,6),(91430,5),(91431,4),(91432,1),(91433,8),(91434,2),(91435,4),(91436,2),(91437,8),(91438,8),(91439,6),(91440,1),(91441,4),(91442,3),(91443,8),(91444,7),(91445,8),(91446,7),(91447,5),(91448,4),(91449,2),(91450,5),(91451,9),(91452,9),(91453,2),(91454,4),(91455,5),(91456,9),(91457,4),(91458,8),(91459,7),(91460,2),(91461,2),(91462,7),(91463,7),(91464,5),(91465,6),(91466,5),(91467,3),(91468,3),(91469,9),(91470,5),(91471,1),(91472,3),(91473,9),(91474,7),(91475,2),(91476,3),(91477,2),(91478,3),(91479,7),(91480,2),(91481,5),(91482,8),(91483,8),(91484,7),(91485,4),(91486,5),(91487,9),(91488,1),(91489,9),(91490,5),(91491,9),(91492,1),(91493,8),(91494,7),(91495,3),(91496,6),(91497,5),(91498,1),(91499,1),(91500,5),(91501,2),(91502,9),(91503,3),(91504,6),(91505,3),(91506,9),(91507,1),(91508,8),(91509,8),(91510,9),(91511,6),(91512,3),(91513,8),(91514,6),(91515,6),(91516,9),(91517,9),(91518,9),(91519,1),(91520,7),(91521,8),(91522,7),(91523,4),(91524,2),(91525,5),(91526,4),(91527,7),(91528,5),(91529,9),(91530,7),(91531,4),(91532,4),(91533,6),(91534,4),(91535,1),(91536,8),(91537,9),(91538,4),(91539,9),(91540,2),(91541,4),(91542,5),(91543,1),(91544,7),(91545,5),(91546,1),(91547,7),(91548,7),(91549,9),(91550,8),(91551,2),(91552,5),(91553,6),(91554,3),(91555,2),(91556,7),(91557,1),(91558,8),(91559,6),(91560,4),(91561,9),(91562,3),(91563,5),(91564,4),(91565,8),(91566,6),(91567,9),(91568,8),(91569,4),(91570,6),(91571,6),(91572,6),(91573,4),(91574,6),(91575,6),(91576,1),(91577,9),(91578,4),(91579,6),(91580,9),(91581,9),(91582,6),(91583,2),(91584,6),(91585,5),(91586,3),(91587,7),(91588,6),(91589,2),(91590,1),(91591,6),(91592,1),(91593,3),(91594,6),(91595,6),(91596,5),(91597,9),(91598,8),(91599,1),(91600,6),(91601,2),(91602,9),(91603,5),(91604,4),(91605,9),(91606,1),(91607,9),(91608,6),(91609,7),(91610,1),(91611,6),(91612,8),(91613,2),(91614,9),(91615,3),(91616,9),(91617,1),(91618,8),(91619,9),(91620,1),(91621,5),(91622,5),(91623,9),(91624,1),(91625,7),(91626,7),(91627,5),(91628,5),(91629,6),(91630,6),(91631,5),(91632,5),(91633,9),(91634,8),(91635,9),(91636,1),(91637,5),(91638,9),(91639,7),(91640,9),(91641,7),(91642,9),(91643,4),(91644,3),(91645,3),(91646,7),(91647,7),(91648,4),(91649,4),(91650,4),(91651,3),(91652,3),(91653,1),(91654,4),(91655,5),(91656,3),(91657,7),(91658,3),(91659,6),(91660,1),(91661,2),(91662,4),(91663,4),(91664,7),(91665,1),(91666,1),(91667,5),(91668,5),(91669,6),(91670,2),(91671,9),(91672,7),(91673,5),(91674,2),(91675,7),(91676,8),(91677,6),(91678,9),(91679,2),(91680,9),(91681,3),(91682,5),(91683,8),(91684,8),(91685,3),(91686,4),(91687,4),(91688,3),(91689,5),(91690,5),(91691,3),(91692,4),(91693,7),(91694,7),(91695,1),(91696,4),(91697,8),(91698,1),(91699,5),(91700,1),(91701,2),(91702,9),(91703,8),(91704,4),(91705,8),(91706,2),(91707,9),(91708,8),(91709,2),(91710,9),(91711,2),(91712,3),(91713,4),(91714,6),(91715,5),(91716,1),(91717,8),(91718,3),(91719,1),(91720,3),(91721,9),(91722,5),(91723,2),(91724,1),(91725,1),(91726,6),(91727,1),(91728,2),(91729,7),(91730,9),(91731,3),(91732,7),(91733,4),(91734,9),(91735,7),(91736,1),(91737,9),(91738,6),(91739,7),(91740,2),(91741,3),(91742,6),(91743,8),(91744,1),(91745,1),(91746,6),(91747,7),(91748,1),(91749,2),(91750,9),(91751,6),(91752,1),(91753,8),(91754,1),(91755,3),(91756,7),(91757,4),(91758,1),(91759,9),(91760,8),(91761,7),(91762,2),(91763,3),(91764,5),(91765,2),(91766,4),(91767,6),(91768,9),(91769,5),(91770,1),(91771,2),(91772,1),(91773,4),(91774,6),(91775,4),(91776,1),(91777,1),(91778,5),(91779,8),(91780,2),(91781,8),(91782,1),(91783,6),(91784,3),(91785,4),(91786,9),(91787,4),(91788,5),(91789,1),(91790,7),(91791,8),(91792,3),(91793,2),(91794,3),(91795,4),(91796,4),(91797,5),(91798,5),(91799,2),(91800,2),(91801,9),(91802,1),(91803,5),(91804,8),(91805,3),(91806,6),(91807,4),(91808,7),(91809,4),(91810,7),(91811,1),(91812,2),(91813,7),(91814,9),(91815,5),(91816,7),(91817,4),(91818,6),(91819,8),(91820,8),(91821,6),(91822,7),(91823,1),(91824,9),(91825,7),(91826,4),(91827,1),(91828,6),(91829,3),(91830,5),(91831,4),(91832,9),(91833,3),(91834,2),(91835,5),(91836,1),(91837,5),(91838,1),(91839,5),(91840,1),(91841,9),(91842,9),(91843,7),(91844,4),(91845,9),(91846,5),(91847,1),(91848,4),(91849,9),(91850,4),(91851,9),(91852,4),(91853,1),(91854,5),(91855,2),(91856,4),(91857,5),(91858,3),(91859,7),(91860,9),(91861,3),(91862,3),(91863,1),(91864,7),(91865,6),(91866,5),(91867,5),(91868,9),(91869,3),(91870,1),(91871,4),(91872,6),(91873,6),(91874,2),(91875,9),(91876,8),(91877,2),(91878,2),(91879,9),(91880,8),(91881,9),(91882,9),(91883,4),(91884,5),(91885,8),(91886,7),(91887,2),(91888,3),(91889,3),(91890,1),(91891,8),(91892,9),(91893,9),(91894,2),(91895,9),(91896,1),(91897,4),(91898,7),(91899,9),(91900,3),(91901,2),(91902,8),(91903,4),(91904,9),(91905,4),(91906,2),(91907,9),(91908,3),(91909,9),(91910,5),(91911,2),(91912,3),(91913,4),(91914,2),(91915,3),(91916,4),(91917,3),(91918,4),(91919,3),(91920,2),(91921,9),(91922,3),(91923,6),(91924,7),(91925,3),(91926,2),(91927,1),(91928,1),(91929,2),(91930,7),(91931,8),(91932,2),(91933,2),(91934,3),(91935,3),(91936,6),(91937,6),(91938,7),(91939,8),(91940,9),(91941,3),(91942,3),(91943,5),(91944,4),(91945,4),(91946,5),(91947,4),(91948,9),(91949,1),(91950,4),(91951,4),(91952,6),(91953,4),(91954,7),(91955,6),(91956,1),(91957,3),(91958,3),(91959,7),(91960,8),(91961,5),(91962,5),(91963,4),(91964,8),(91965,9),(91966,6),(91967,3),(91968,5),(91969,4),(91970,7),(91971,1),(91972,7),(91973,5),(91974,5),(91975,4),(91976,2),(91977,2),(91978,9),(91979,2),(91980,4),(91981,5),(91982,7),(91983,7),(91984,4),(91985,4),(91986,7),(91987,1),(91988,3),(91989,6),(91990,1),(91991,5),(91992,1),(91993,1),(91994,4),(91995,5),(91996,4),(91997,9),(91998,6),(91999,7),(92000,2),(92001,4),(92002,2),(92003,5),(92004,6),(92005,4),(92006,4),(92007,6),(92008,6),(92009,8),(92010,7),(92011,8),(92012,7),(92013,6),(92014,6),(92015,1),(92016,2),(92017,8),(92018,5),(92019,6),(92020,5),(92021,1),(92022,8),(92023,6),(92024,3),(92025,5),(92026,7),(92027,2),(92028,1),(92029,7),(92030,9),(92031,9),(92032,4),(92033,5),(92034,4),(92035,9),(92036,6),(92037,3),(92038,7),(92039,4),(92040,2),(92041,5),(92042,8),(92043,3),(92044,4),(92045,9),(92046,5),(92047,5),(92048,2),(92049,9),(92050,7),(92051,5),(92052,1),(92053,8),(92054,6),(92055,9),(92056,8),(92057,6),(92058,9),(92059,6),(92060,1),(92061,4),(92062,2),(92063,3),(92064,4),(92065,2),(92066,3),(92067,5),(92068,1),(92069,2),(92070,1),(92071,2),(92072,9),(92073,7),(92074,5),(92075,1),(92076,6),(92077,3),(92078,2),(92079,9),(92080,9),(92081,7),(92082,5),(92083,8),(92084,6),(92085,8),(92086,5),(92087,3),(92088,6),(92089,5),(92090,3),(92091,4),(92092,4),(92093,1),(92094,6),(92095,8),(92096,4),(92097,3),(92098,2),(92099,2),(92100,6),(92101,7),(92102,9),(92103,2),(92104,9),(92105,5),(92106,5),(92107,4),(92108,1),(92109,6),(92110,5),(92111,3),(92112,3),(92113,6),(92114,2),(92115,2),(92116,6),(92117,1),(92118,7),(92119,4),(92120,2),(92121,1),(92122,9),(92123,2),(92124,4),(92125,8),(92126,7),(92127,2),(92128,9),(92129,4),(92130,6),(92131,6),(92132,2),(92133,9),(92134,6),(92135,7),(92136,9),(92137,3),(92138,7),(92139,8),(92140,7),(92141,6),(92142,9),(92143,2),(92144,4),(92145,1),(92146,3),(92147,5),(92148,8),(92149,4),(92150,6),(92151,8),(92152,8),(92153,9),(92154,6),(92155,3),(92156,5),(92157,8),(92158,7),(92159,1),(92160,5),(92161,1),(92162,6),(92163,6),(92164,8),(92165,4),(92166,5),(92167,5),(92168,8),(92169,5),(92170,7),(92171,8),(92172,9),(92173,6),(92174,7),(92175,1),(92176,3),(92177,5),(92178,5),(92179,5),(92180,1),(92181,4),(92182,9),(92183,1),(92184,9),(92185,9),(92186,9),(92187,5),(92188,3),(92189,1),(92190,5),(92191,5),(92192,5),(92193,7),(92194,7),(92195,6),(92196,2),(92197,9),(92198,7),(92199,5),(92200,8),(92201,3),(92202,5),(92203,4),(92204,5),(92205,6),(92206,8),(92207,3),(92208,6),(92209,9),(92210,1),(92211,9),(92212,4),(92213,6),(92214,8),(92215,4),(92216,3),(92217,9),(92218,4),(92219,3),(92220,4),(92221,8),(92222,3),(92223,2),(92224,8),(92225,8),(92226,8),(92227,1),(92228,6),(92229,4),(92230,5),(92231,9),(92232,8),(92233,6),(92234,7),(92235,7),(92236,6),(92237,5),(92238,8),(92239,7),(92240,1),(92241,7),(92242,7),(92243,3),(92244,2),(92245,5),(92246,5),(92247,1),(92248,5),(92249,8),(92250,5),(92251,8),(92252,7),(92253,1),(92254,9),(92255,3),(92256,6),(92257,6),(92258,8),(92259,7),(92260,5),(92261,1),(92262,9),(92263,3),(92264,2),(92265,8),(92266,7),(92267,6),(92268,6),(92269,2),(92270,7),(92271,4),(92272,5),(92273,4),(92274,5),(92275,7),(92276,2),(92277,8),(92278,7),(92279,5),(92280,1),(92281,7),(92282,9),(92283,5),(92284,7),(92285,8),(92286,1),(92287,9),(92288,8),(92289,7),(92290,1),(92291,6),(92292,3),(92293,9),(92294,5),(92295,1),(92296,1),(92297,3),(92298,1),(92299,3),(92300,7),(92301,9),(92302,1),(92303,8),(92304,9),(92305,4),(92306,2),(92307,3),(92308,4),(92309,7),(92310,7),(92311,5),(92312,5),(92313,8),(92314,8),(92315,7),(92316,3),(92317,6),(92318,5),(92319,5),(92320,9),(92321,8),(92322,2),(92323,4),(92324,4),(92325,3),(92326,3),(92327,3),(92328,5),(92329,4),(92330,3),(92331,9),(92332,6),(92333,3),(92334,8),(92335,6),(92336,2),(92337,7),(92338,8),(92339,4),(92340,4),(92341,6),(92342,8),(92343,2),(92344,6),(92345,9),(92346,5),(92347,5),(92348,3),(92349,3),(92350,9),(92351,6),(92352,5),(92353,9),(92354,6),(92355,9),(92356,1),(92357,3),(92358,2),(92359,3),(92360,3),(92361,9),(92362,4),(92363,9),(92364,3),(92365,3),(92366,2),(92367,1),(92368,1),(92369,2),(92370,6),(92371,6),(92372,7),(92373,4),(92374,3),(92375,4),(92376,5),(92377,1),(92378,1),(92379,6),(92380,2),(92381,7),(92382,2),(92383,1),(92384,4),(92385,8),(92386,7),(92387,5),(92388,7),(92389,1),(92390,6),(92391,9),(92392,6),(92393,1),(92394,9),(92395,5),(92396,9),(92397,5),(92398,3),(92399,3),(92400,6),(92401,3),(92402,9),(92403,3),(92404,1),(92405,6),(92406,3),(92407,8),(92408,7),(92409,2),(92410,7),(92411,5),(92412,1),(92413,9),(92414,6),(92415,9),(92416,4),(92417,6),(92418,7),(92419,7),(92420,5),(92421,7),(92422,6),(92423,9),(92424,3),(92425,5),(92426,7),(92427,7),(92428,9),(92429,3),(92430,3),(92431,7),(92432,4),(92433,6),(92434,7),(92435,9),(92436,3),(92437,9),(92438,7),(92439,6),(92440,6),(92441,5),(92442,1),(92443,3),(92444,8),(92445,9),(92446,3),(92447,8),(92448,9),(92449,1),(92450,6),(92451,4),(92452,6),(92453,5),(92454,4),(92455,5),(92456,3),(92457,8),(92458,2),(92459,4),(92460,9),(92461,7),(92462,3),(92463,3),(92464,2),(92465,1),(92466,6),(92467,1),(92468,9),(92469,5),(92470,4),(92471,6),(92472,4),(92473,2),(92474,4),(92475,5),(92476,9),(92477,1),(92478,4),(92479,7),(92480,1),(92481,1),(92482,1),(92483,4),(92484,2),(92485,4),(92486,5),(92487,5),(92488,8),(92489,9),(92490,2),(92491,8),(92492,9),(92493,2),(92494,5),(92495,8),(92496,3),(92497,9),(92498,2),(92499,6),(92500,3),(92501,6),(92502,2),(92503,9),(92504,6),(92505,6),(92506,5),(92507,5),(92508,4),(92509,5),(92510,2),(92511,2),(92512,7),(92513,3),(92514,6),(92515,4),(92516,9),(92517,8),(92518,7),(92519,1),(92520,9),(92521,7),(92522,3),(92523,7),(92524,9),(92525,7),(92526,9),(92527,8),(92528,8),(92529,2),(92530,7),(92531,1),(92532,5),(92533,5),(92534,9),(92535,5),(92536,6),(92537,6),(92538,3),(92539,8),(92540,7),(92541,5),(92542,1),(92543,9),(92544,9),(92545,6),(92546,2),(92547,4),(92548,5),(92549,1),(92550,1),(92551,5),(92552,6),(92553,1),(92554,8),(92555,1),(92556,2),(92557,4),(92558,2),(92559,8),(92560,9),(92561,9),(92562,4),(92563,7),(92564,8),(92565,2),(92566,3),(92567,1),(92568,7),(92569,2),(92570,1),(92571,7),(92572,1),(92573,7),(92574,1),(92575,9),(92576,5),(92577,7),(92578,6),(92579,3),(92580,8),(92581,6),(92582,8),(92583,6),(92584,3),(92585,9),(92586,8),(92587,4),(92588,5),(92589,5),(92590,2),(92591,7),(92592,1),(92593,1),(92594,2),(92595,8),(92596,2),(92597,5),(92598,6),(92599,6),(92600,3),(92601,9),(92602,1),(92603,4),(92604,9),(92605,1),(92606,7),(92607,5),(92608,3),(92609,6),(92610,1),(92611,5),(92612,5),(92613,5),(92614,5),(92615,7),(92616,4),(92617,4),(92618,5),(92619,1),(92620,2),(92621,2),(92622,5),(92623,4),(92624,2),(92625,7),(92626,8),(92627,6),(92628,1),(92629,9),(92630,1),(92631,8),(92632,4),(92633,6),(92634,5),(92635,9),(92636,5),(92637,3),(92638,4),(92639,5),(92640,6),(92641,2),(92642,1),(92643,7),(92644,1),(92645,4),(92646,9),(92647,5),(92648,8),(92649,1),(92650,9),(92651,6),(92652,9),(92653,1),(92654,7),(92655,2),(92656,1),(92657,7),(92658,6),(92659,2),(92660,4),(92661,8),(92662,4),(92663,4),(92664,7),(92665,9),(92666,5),(92667,3),(92668,3),(92669,4),(92670,4),(92671,5),(92672,2),(92673,7),(92674,8),(92675,9),(92676,2),(92677,7),(92678,2),(92679,1),(92680,4),(92681,4),(92682,5),(92683,1),(92684,5),(92685,1),(92686,2),(92687,4),(92688,5),(92689,3),(92690,1),(92691,2),(92692,7),(92693,7),(92694,1),(92695,5),(92696,1),(92697,4),(92698,5),(92699,1),(92700,6),(92701,1),(92702,8),(92703,4),(92704,2),(92705,7),(92706,5),(92707,5),(92708,1),(92709,4),(92710,3),(92711,1),(92712,4),(92713,2),(92714,7),(92715,3),(92716,8),(92717,6),(92718,2),(92719,4),(92720,6),(92721,9),(92722,6),(92723,2),(92724,4),(92725,9),(92726,4),(92727,7),(92728,7),(92729,4),(92730,5),(92731,1),(92732,3),(92733,3),(92734,8),(92735,8),(92736,9),(92737,2),(92738,1),(92739,5),(92740,6),(92741,4),(92742,6),(92743,2),(92744,2),(92745,1),(92746,7),(92747,1),(92748,4),(92749,5),(92750,3),(92751,3),(92752,8),(92753,5),(92754,9),(92755,6),(92756,7),(92757,1),(92758,1),(92759,7),(92760,4),(92761,9),(92762,8),(92763,9),(92764,6),(92765,7),(92766,1),(92767,5),(92768,7),(92769,7),(92770,3),(92771,2),(92772,2),(92773,3),(92774,5),(92775,3),(92776,7),(92777,2),(92778,1),(92779,3),(92780,8),(92781,7),(92782,6),(92783,8),(92784,1),(92785,8),(92786,8),(92787,7),(92788,3),(92789,5),(92790,1),(92791,5),(92792,2),(92793,2),(92794,3),(92795,6),(92796,2),(92797,5),(92798,9),(92799,1),(92800,1),(92801,7),(92802,2),(92803,6),(92804,4),(92805,3),(92806,8),(92807,7),(92808,6),(92809,9),(92810,2),(92811,5),(92812,8),(92813,6),(92814,4),(92815,9),(92816,6),(92817,3),(92818,3),(92819,6),(92820,7),(92821,9),(92822,7),(92823,8),(92824,5),(92825,1),(92826,6),(92827,3),(92828,8),(92829,6),(92830,3),(92831,8),(92832,5),(92833,5),(92834,4),(92835,6),(92836,1),(92837,1),(92838,5),(92839,8),(92840,9),(92841,5),(92842,6),(92843,6),(92844,3),(92845,9),(92846,9),(92847,9),(92848,9),(92849,1),(92850,9),(92851,5),(92852,3),(92853,3),(92854,3),(92855,6),(92856,6),(92857,2),(92858,6),(92859,8),(92860,2),(92861,8),(92862,6),(92863,4),(92864,5),(92865,8),(92866,6),(92867,8),(92868,1),(92869,6),(92870,2),(92871,6),(92872,9),(92873,9),(92874,3),(92875,5),(92876,6),(92877,9),(92878,7),(92879,8),(92880,2),(92881,6),(92882,5),(92883,2),(92884,4),(92885,9),(92886,3),(92887,9),(92888,5),(92889,1),(92890,9),(92891,2),(92892,9),(92893,4),(92894,8),(92895,9),(92896,3),(92897,2),(92898,5),(92899,2),(92900,9),(92901,7),(92902,8),(92903,7),(92904,1),(92905,8),(92906,2),(92907,8),(92908,6),(92909,5),(92910,8),(92911,2),(92912,4),(92913,2),(92914,2),(92915,4),(92916,6),(92917,5),(92918,1),(92919,8),(92920,5),(92921,8),(92922,7),(92923,9),(92924,3),(92925,9),(92926,2),(92927,9),(92928,7),(92929,1),(92930,3),(92931,9),(92932,1),(92933,1),(92934,8),(92935,2),(92936,7),(92937,6),(92938,4),(92939,1),(92940,6),(92941,3),(92942,7),(92943,4),(92944,5),(92945,7),(92946,4),(92947,9),(92948,9),(92949,2),(92950,8),(92951,7),(92952,8),(92953,8),(92954,9),(92955,9),(92956,6),(92957,8),(92958,4),(92959,2),(92960,4),(92961,1),(92962,4),(92963,5),(92964,2),(92965,8),(92966,7),(92967,5),(92968,5),(92969,2),(92970,2),(92971,1),(92972,7),(92973,3),(92974,1),(92975,1),(92976,1),(92977,3),(92978,5),(92979,9),(92980,1),(92981,2),(92982,3),(92983,8),(92984,6),(92985,2),(92986,9),(92987,7),(92988,6),(92989,6),(92990,9),(92991,9),(92992,5),(92993,6),(92994,7),(92995,2),(92996,4),(92997,1),(92998,4),(92999,3),(93000,8),(93001,1),(93002,2),(93003,2),(93004,8),(93005,5),(93006,5),(93007,9),(93008,5),(93009,8),(93010,7),(93011,9),(93012,7),(93013,6),(93014,8),(93015,8),(93016,8),(93017,2),(93018,8),(93019,7),(93020,4),(93021,2),(93022,7),(93023,2),(93024,4),(93025,8),(93026,5),(93027,4),(93028,3),(93029,7),(93030,9),(93031,7),(93032,9),(93033,5),(93034,6),(93035,8),(93036,2),(93037,8),(93038,2),(93039,1),(93040,9),(93041,4),(93042,9),(93043,9),(93044,9),(93045,3),(93046,9),(93047,8),(93048,5),(93049,6),(93050,6),(93051,8),(93052,4),(93053,1),(93054,7),(93055,1),(93056,1),(93057,8),(93058,8),(93059,6),(93060,1),(93061,7),(93062,9),(93063,9),(93064,6),(93065,9),(93066,3),(93067,8),(93068,5),(93069,5),(93070,8),(93071,5),(93072,1),(93073,6),(93074,5),(93075,3),(93076,3),(93077,9),(93078,5),(93079,9),(93080,3),(93081,8),(93082,8),(93083,3),(93084,8),(93085,5),(93086,6),(93087,5),(93088,1),(93089,5),(93090,6),(93091,7),(93092,7),(93093,7),(93094,3),(93095,9),(93096,3),(93097,2),(93098,6),(93099,7),(93100,1),(93101,1),(93102,7),(93103,1),(93104,7),(93105,6),(93106,9),(93107,9),(93108,2),(93109,9),(93110,3),(93111,3),(93112,2),(93113,8),(93114,5),(93115,4),(93116,5),(93117,3),(93118,4),(93119,2),(93120,5),(93121,4),(93122,7),(93123,7),(93124,6),(93125,7),(93126,5),(93127,7),(93128,9),(93129,8),(93130,2),(93131,9),(93132,5),(93133,5),(93134,5),(93135,5),(93136,9),(93137,1),(93138,9),(93139,7),(93140,2),(93141,6),(93142,1),(93143,2),(93144,7),(93145,7),(93146,1),(93147,7),(93148,4),(93149,2),(93150,7),(93151,5),(93152,5),(93153,2),(93154,8),(93155,5),(93156,1),(93157,8),(93158,4),(93159,6),(93160,7),(93161,6),(93162,6),(93163,6),(93164,5),(93165,4),(93166,8),(93167,2),(93168,5),(93169,5),(93170,9),(93171,6),(93172,5),(93173,7),(93174,4),(93175,7),(93176,1),(93177,8),(93178,5),(93179,8),(93180,3),(93181,8),(93182,4),(93183,9),(93184,7),(93185,6),(93186,9),(93187,8),(93188,3),(93189,5),(93190,9),(93191,6),(93192,5),(93193,1),(93194,8),(93195,5),(93196,7),(93197,4),(93198,1),(93199,4),(93200,5),(93201,7),(93202,3),(93203,1),(93204,9),(93205,9),(93206,3),(93207,2),(93208,3),(93209,7),(93210,6),(93211,3),(93212,7),(93213,9),(93214,7),(93215,9),(93216,1),(93217,7),(93218,3),(93219,5),(93220,5),(93221,5),(93222,7),(93223,8),(93224,6),(93225,3),(93226,4),(93227,2),(93228,9),(93229,4),(93230,4),(93231,9),(93232,9),(93233,8),(93234,3),(93235,2),(93236,9),(93237,2),(93238,9),(93239,9),(93240,6),(93241,4),(93242,5),(93243,7),(93244,4),(93245,3),(93246,5),(93247,7),(93248,2),(93249,7),(93250,1),(93251,5),(93252,8),(93253,1),(93254,1),(93255,9),(93256,6),(93257,1),(93258,5),(93259,8),(93260,9),(93261,2),(93262,3),(93263,2),(93264,1),(93265,9),(93266,3),(93267,8),(93268,5),(93269,3),(93270,9),(93271,6),(93272,5),(93273,8),(93274,2),(93275,1),(93276,9),(93277,2),(93278,9),(93279,7),(93280,7),(93281,3),(93282,6),(93283,4),(93284,3),(93285,6),(93286,6),(93287,4),(93288,6),(93289,8),(93290,3),(93291,2),(93292,2),(93293,5),(93294,1),(93295,3),(93296,8),(93297,4),(93298,1),(93299,9),(93300,5),(93301,8),(93302,3),(93303,6),(93304,3),(93305,4),(93306,1),(93307,7),(93308,7),(93309,1),(93310,9),(93311,7),(93312,8),(93313,2),(93314,1),(93315,7),(93316,4),(93317,8),(93318,7),(93319,4),(93320,1),(93321,6),(93322,7),(93323,1),(93324,9),(93325,3),(93326,7),(93327,9),(93328,5),(93329,2),(93330,1),(93331,6),(93332,9),(93333,3),(93334,2),(93335,7),(93336,1),(93337,5),(93338,9),(93339,4),(93340,2),(93341,1),(93342,4),(93343,9),(93344,8),(93345,8),(93346,1),(93347,3),(93348,1),(93349,3),(93350,7),(93351,7),(93352,2),(93353,2),(93354,7),(93355,4),(93356,6),(93357,7),(93358,9),(93359,2),(93360,6),(93361,5),(93362,1),(93363,9),(93364,1),(93365,2),(93366,2),(93367,7),(93368,7),(93369,1),(93370,3),(93371,9),(93372,4),(93373,8),(93374,7),(93375,2),(93376,7),(93377,1),(93378,8),(93379,1),(93380,4),(93381,8),(93382,3),(93383,8),(93384,6),(93385,3),(93386,1),(93387,1),(93388,5),(93389,4),(93390,4),(93391,1),(93392,8),(93393,7),(93394,1),(93395,3),(93396,5),(93397,1),(93398,4),(93399,7),(93400,1),(93401,5),(93402,2),(93403,8),(93404,1),(93405,2),(93406,1),(93407,6),(93408,5),(93409,1),(93410,4),(93411,1),(93412,5),(93413,6),(93414,8),(93415,6),(93416,9),(93417,5),(93418,3),(93419,9),(93420,2),(93421,2),(93422,1),(93423,6),(93424,9),(93425,7),(93426,3),(93427,5),(93428,2),(93429,2),(93430,4),(93431,7),(93432,8),(93433,4),(93434,1),(93435,6),(93436,4),(93437,9),(93438,5),(93439,9),(93440,4),(93441,9),(93442,8),(93443,1),(93444,7),(93445,6),(93446,9),(93447,2),(93448,8),(93449,2),(93450,1),(93451,8),(93452,7),(93453,4),(93454,5),(93455,7),(93456,1),(93457,2),(93458,7),(93459,3),(93460,1),(93461,3),(93462,1),(93463,9),(93464,2),(93465,5),(93466,7),(93467,9),(93468,6),(93469,6),(93470,2),(93471,6),(93472,9),(93473,3),(93474,4),(93475,2),(93476,6),(93477,2),(93478,3),(93479,9),(93480,9),(93481,9),(93482,6),(93483,5),(93484,6),(93485,5),(93486,9),(93487,4),(93488,4),(93489,7),(93490,5),(93491,3),(93492,5),(93493,9),(93494,3),(93495,1),(93496,6),(93497,6),(93498,5),(93499,6),(93500,2),(93501,1),(93502,3),(93503,5),(93504,5),(93505,3),(93506,7),(93507,6),(93508,5),(93509,6),(93510,7),(93511,9),(93512,1),(93513,4),(93514,8),(93515,3),(93516,8),(93517,9),(93518,6),(93519,9),(93520,1),(93521,8),(93522,8),(93523,3),(93524,2),(93525,5),(93526,8),(93527,9),(93528,6),(93529,3),(93530,6),(93531,2),(93532,1),(93533,4),(93534,7),(93535,3),(93536,8),(93537,1),(93538,9),(93539,1),(93540,5),(93541,8),(93542,6),(93543,6),(93544,1),(93545,1),(93546,6),(93547,8),(93548,2),(93549,9),(93550,2),(93551,8),(93552,8),(93553,9),(93554,5),(93555,1),(93556,1),(93557,4),(93558,3),(93559,1),(93560,3),(93561,5),(93562,8),(93563,1),(93564,4),(93565,3),(93566,6),(93567,7),(93568,8),(93569,2),(93570,8),(93571,4),(93572,7),(93573,6),(93574,5),(93575,8),(93576,3),(93577,7),(93578,3),(93579,2),(93580,6),(93581,2),(93582,8),(93583,2),(93584,3),(93585,5),(93586,4),(93587,8),(93588,3),(93589,1),(93590,1),(93591,1),(93592,2),(93593,6),(93594,7),(93595,6),(93596,8),(93597,7),(93598,5),(93599,2),(93600,7),(93601,1),(93602,5),(93603,3),(93604,6),(93605,8),(93606,3),(93607,7),(93608,4),(93609,5),(93610,7),(93611,2),(93612,4),(93613,4),(93614,2),(93615,6),(93616,7),(93617,4),(93618,3),(93619,5),(93620,4),(93621,5),(93622,9),(93623,6),(93624,2),(93625,4),(93626,5),(93627,4),(93628,3),(93629,7),(93630,6),(93631,1),(93632,2),(93633,5),(93634,3),(93635,9),(93636,5),(93637,7),(93638,4),(93639,2),(93640,4),(93641,6),(93642,5),(93643,5),(93644,3),(93645,1),(93646,7),(93647,6),(93648,2),(93649,4),(93650,8),(93651,3),(93652,5),(93653,8),(93654,9),(93655,3),(93656,1),(93657,2),(93658,8),(93659,8),(93660,8),(93661,8),(93662,4),(93663,2),(93664,8),(93665,9),(93666,2),(93667,7),(93668,2),(93669,7),(93670,3),(93671,6),(93672,7),(93673,5),(93674,3),(93675,5),(93676,2),(93677,5),(93678,7),(93679,8),(93680,1),(93681,5),(93682,2),(93683,6),(93684,1),(93685,8),(93686,8),(93687,4),(93688,8),(93689,7),(93690,7),(93691,1),(93692,6),(93693,7),(93694,3),(93695,8),(93696,2),(93697,3),(93698,7),(93699,2),(93700,8),(93701,5),(93702,9),(93703,4),(93704,3),(93705,4),(93706,4),(93707,4),(93708,4),(93709,7),(93710,2),(93711,6),(93712,7),(93713,6),(93714,2),(93715,7),(93716,1),(93717,3),(93718,4),(93719,7),(93720,3),(93721,8),(93722,7),(93723,6),(93724,3),(93725,5),(93726,5),(93727,2),(93728,1),(93729,5),(93730,2),(93731,8),(93732,1),(93733,5),(93734,4),(93735,2),(93736,8),(93737,6),(93738,3),(93739,6),(93740,7),(93741,2),(93742,1),(93743,6),(93744,3),(93745,3),(93746,8),(93747,2),(93748,2),(93749,2),(93750,8),(93751,4),(93752,9),(93753,2),(93754,5),(93755,2),(93756,5),(93757,2),(93758,5),(93759,2),(93760,9),(93761,8),(93762,4),(93763,1),(93764,1),(93765,4),(93766,5),(93767,7),(93768,6),(93769,3),(93770,6),(93771,1),(93772,8),(93773,2),(93774,6),(93775,6),(93776,8),(93777,1),(93778,1),(93779,9),(93780,9),(93781,5),(93782,8),(93783,8),(93784,9),(93785,7),(93786,7),(93787,9),(93788,9),(93789,3),(93790,3),(93791,6),(93792,9),(93793,9),(93794,9),(93795,6),(93796,3),(93797,8),(93798,7),(93799,3),(93800,4),(93801,7),(93802,7),(93803,4),(93804,4),(93805,2),(93806,6),(93807,6),(93808,5),(93809,9),(93810,3),(93811,6),(93812,7),(93813,2),(93814,1),(93815,7),(93816,3),(93817,1),(93818,4),(93819,6),(93820,9),(93821,4),(93822,4),(93823,5),(93824,6),(93825,9),(93826,4),(93827,6),(93828,8),(93829,2),(93830,3),(93831,6),(93832,9),(93833,5),(93834,6),(93835,7),(93836,7),(93837,1),(93838,1),(93839,6),(93840,8),(93841,1),(93842,2),(93843,2),(93844,3),(93845,4),(93846,8),(93847,4),(93848,4),(93849,6),(93850,9),(93851,9),(93852,8),(93853,2),(93854,7),(93855,6),(93856,8),(93857,9),(93858,4),(93859,5),(93860,4),(93861,3),(93862,4),(93863,8),(93864,4),(93865,7),(93866,1),(93867,1),(93868,1),(93869,8),(93870,8),(93871,9),(93872,7),(93873,7),(93874,7),(93875,5),(93876,7),(93877,8),(93878,7),(93879,4),(93880,5),(93881,4),(93882,5),(93883,2),(93884,6),(93885,2),(93886,5),(93887,1),(93888,7),(93889,7),(93890,4),(93891,8),(93892,4),(93893,9),(93894,4),(93895,8),(93896,1),(93897,8),(93898,2),(93899,6),(93900,2),(93901,2),(93902,2),(93903,3),(93904,6),(93905,3),(93906,1),(93907,7),(93908,8),(93909,5),(93910,6),(93911,9),(93912,5),(93913,6),(93914,9),(93915,5),(93916,2),(93917,8),(93918,5),(93919,5),(93920,4),(93921,7),(93922,1),(93923,3),(93924,7),(93925,6),(93926,5),(93927,3),(93928,6),(93929,4),(93930,1),(93931,1),(93932,6),(93933,8),(93934,8),(93935,9),(93936,9),(93937,3),(93938,1),(93939,7),(93940,5),(93941,1),(93942,3),(93943,3),(93944,4),(93945,2),(93946,4),(93947,2),(93948,9),(93949,2),(93950,8),(93951,3),(93952,6),(93953,2),(93954,2),(93955,9),(93956,3),(93957,2),(93958,5),(93959,2),(93960,1),(93961,3),(93962,4),(93963,7),(93964,1),(93965,3),(93966,3),(93967,1),(93968,3),(93969,2),(93970,7),(93971,7),(93972,6),(93973,1),(93974,5),(93975,7),(93976,4),(93977,5),(93978,7),(93979,2),(93980,3),(93981,6),(93982,1),(93983,2),(93984,1),(93985,3),(93986,4),(93987,3),(93988,6),(93989,7),(93990,7),(93991,5),(93992,5),(93993,8),(93994,1),(93995,1),(93996,4),(93997,6),(93998,7),(93999,8),(94000,6),(94001,9),(94002,4),(94003,7),(94004,4),(94005,4),(94006,8),(94007,9),(94008,9),(94009,4),(94010,2),(94011,3),(94012,3),(94013,1),(94014,8),(94015,2),(94016,8),(94017,8),(94018,2),(94019,1),(94020,5),(94021,7),(94022,3),(94023,8),(94024,4),(94025,8),(94026,9),(94027,6),(94028,3),(94029,8),(94030,4),(94031,9),(94032,1),(94033,3),(94034,2),(94035,4),(94036,7),(94037,9),(94038,3),(94039,9),(94040,5),(94041,8),(94042,1),(94043,2),(94044,4),(94045,9),(94046,8),(94047,1),(94048,6),(94049,5),(94050,8),(94051,3),(94052,1),(94053,7),(94054,4),(94055,2),(94056,8),(94057,2),(94058,3),(94059,7),(94060,3),(94061,5),(94062,4),(94063,1),(94064,9),(94065,5),(94066,3),(94067,4),(94068,7),(94069,8),(94070,9),(94071,3),(94072,1),(94073,9),(94074,1),(94075,6),(94076,2),(94077,3),(94078,2),(94079,3),(94080,9),(94081,9),(94082,5),(94083,8),(94084,2),(94085,3),(94086,7),(94087,8),(94088,8),(94089,8),(94090,8),(94091,8),(94092,1),(94093,9),(94094,7),(94095,1),(94096,4),(94097,9),(94098,3),(94099,7),(94100,6),(94101,1),(94102,1),(94103,4),(94104,7),(94105,3),(94106,6),(94107,4),(94108,1),(94109,9),(94110,3),(94111,1),(94112,3),(94113,7),(94114,5),(94115,1),(94116,9),(94117,9),(94118,9),(94119,9),(94120,3),(94121,8),(94122,4),(94123,7),(94124,6),(94125,3),(94126,7),(94127,9),(94128,1),(94129,5),(94130,7),(94131,9),(94132,4),(94133,8),(94134,2),(94135,2),(94136,3),(94137,7),(94138,1),(94139,3),(94140,8),(94141,2),(94142,9),(94143,3),(94144,3),(94145,4),(94146,1),(94147,7),(94148,2),(94149,7),(94150,5),(94151,4),(94152,2),(94153,5),(94154,7),(94155,3),(94156,9),(94157,7),(94158,4),(94159,4),(94160,1),(94161,5),(94162,3),(94163,7),(94164,4),(94165,2),(94166,6),(94167,5),(94168,9),(94169,4),(94170,6),(94171,7),(94172,5),(94173,7),(94174,4),(94175,7),(94176,1),(94177,3),(94178,3),(94179,1),(94180,5),(94181,2),(94182,1),(94183,9),(94184,2),(94185,7),(94186,5),(94187,4),(94188,4),(94189,6),(94190,5),(94191,2),(94192,8),(94193,9),(94194,2),(94195,6),(94196,8),(94197,2),(94198,9),(94199,3),(94200,8),(94201,3),(94202,2),(94203,2),(94204,8),(94205,5),(94206,1),(94207,3),(94208,2),(94209,1),(94210,6),(94211,2),(94212,1),(94213,5),(94214,7),(94215,6),(94216,5),(94217,3),(94218,1),(94219,3),(94220,1),(94221,6),(94222,9),(94223,6),(94224,6),(94225,1),(94226,9),(94227,4),(94228,9),(94229,6),(94230,6),(94231,3),(94232,5),(94233,2),(94234,5),(94235,4),(94236,9),(94237,6),(94238,6),(94239,7),(94240,3),(94241,2),(94242,4),(94243,7),(94244,4),(94245,1),(94246,2),(94247,8),(94248,9),(94249,9),(94250,7),(94251,4),(94252,5),(94253,5),(94254,1),(94255,3),(94256,9),(94257,6),(94258,8),(94259,9),(94260,3),(94261,1),(94262,7),(94263,4),(94264,2),(94265,6),(94266,4),(94267,6),(94268,4),(94269,7),(94270,6),(94271,7),(94272,7),(94273,4),(94274,6),(94275,2),(94276,9),(94277,4),(94278,2),(94279,2),(94280,3),(94281,8),(94282,5),(94283,5),(94284,2),(94285,4),(94286,7),(94287,8),(94288,7),(94289,7),(94290,4),(94291,2),(94292,1),(94293,8),(94294,4),(94295,1),(94296,7),(94297,2),(94298,8),(94299,7),(94300,4),(94301,6),(94302,6),(94303,1),(94304,7),(94305,1),(94306,1),(94307,1),(94308,8),(94309,6),(94310,5),(94311,5),(94312,2),(94313,3),(94314,9),(94315,7),(94316,7),(94317,3),(94318,9),(94319,3),(94320,5),(94321,3),(94322,9),(94323,5),(94324,4),(94325,8),(94326,5),(94327,8),(94328,8),(94329,4),(94330,9),(94331,8),(94332,1),(94333,4),(94334,2),(94335,6),(94336,6),(94337,3),(94338,6),(94339,5),(94340,7),(94341,8),(94342,5),(94343,2),(94344,9),(94345,3),(94346,8),(94347,2),(94348,6),(94349,8),(94350,9),(94351,4),(94352,5),(94353,9),(94354,6),(94355,2),(94356,9),(94357,4),(94358,7),(94359,5),(94360,6),(94361,9),(94362,1),(94363,2),(94364,6),(94365,7),(94366,2),(94367,5),(94368,8),(94369,1),(94370,7),(94371,9),(94372,4),(94373,1),(94374,2),(94375,4),(94376,2),(94377,6),(94378,1),(94379,7),(94380,2),(94381,3),(94382,5),(94383,8),(94384,6),(94385,6),(94386,8),(94387,9),(94388,8),(94389,7),(94390,7),(94391,8),(94392,4),(94393,7),(94394,2),(94395,9),(94396,4),(94397,4),(94398,2),(94399,8),(94400,4),(94401,4),(94402,1),(94403,2),(94404,3),(94405,8),(94406,3),(94407,5),(94408,5),(94409,2),(94410,1),(94411,4),(94412,8),(94413,6),(94414,1),(94415,8),(94416,4),(94417,3),(94418,7),(94419,3),(94420,1),(94421,2),(94422,1),(94423,2),(94424,7),(94425,7),(94426,7),(94427,3),(94428,1),(94429,3),(94430,9),(94431,1),(94432,2),(94433,7),(94434,1),(94435,6),(94436,9),(94437,8),(94438,3),(94439,5),(94440,2),(94441,6),(94442,5),(94443,1),(94444,3),(94445,3),(94446,9),(94447,6),(94448,4),(94449,6),(94450,6),(94451,4),(94452,5),(94453,8),(94454,3),(94455,3),(94456,1),(94457,6),(94458,2),(94459,6),(94460,2),(94461,6),(94462,8),(94463,6),(94464,3),(94465,2),(94466,2),(94467,5),(94468,9),(94469,6),(94470,7),(94471,3),(94472,4),(94473,2),(94474,7),(94475,8),(94476,7),(94477,8),(94478,5),(94479,7),(94480,8),(94481,4),(94482,4),(94483,7),(94484,9),(94485,1),(94486,9),(94487,1),(94488,2),(94489,6),(94490,3),(94491,5),(94492,6),(94493,6),(94494,5),(94495,4),(94496,6),(94497,6),(94498,1),(94499,9),(94500,9),(94501,3),(94502,8),(94503,5),(94504,9),(94505,7),(94506,6),(94507,9),(94508,5),(94509,6),(94510,5),(94511,2),(94512,6),(94513,2),(94514,7),(94515,5),(94516,4),(94517,8),(94518,9),(94519,7),(94520,3),(94521,8),(94522,8),(94523,5),(94524,6),(94525,5),(94526,5),(94527,4),(94528,9),(94529,9),(94530,5),(94531,9),(94532,7),(94533,8),(94534,8),(94535,9),(94536,8),(94537,5),(94538,5),(94539,7),(94540,8),(94541,7),(94542,9),(94543,4),(94544,5),(94545,4),(94546,2),(94547,3),(94548,2),(94549,6),(94550,7),(94551,8),(94552,7),(94553,9),(94554,9),(94555,7),(94556,9),(94557,1),(94558,8),(94559,1),(94560,1),(94561,5),(94562,8),(94563,5),(94564,5),(94565,3),(94566,9),(94567,9),(94568,9),(94569,1),(94570,9),(94571,8),(94572,2),(94573,1),(94574,6),(94575,5),(94576,5),(94577,2),(94578,6),(94579,2),(94580,8),(94581,2),(94582,1),(94583,2),(94584,4),(94585,1),(94586,4),(94587,9),(94588,6),(94589,3),(94590,6),(94591,5),(94592,4),(94593,7),(94594,5),(94595,8),(94596,4),(94597,5),(94598,3),(94599,6),(94600,5),(94601,3),(94602,2),(94603,2),(94604,9),(94605,6),(94606,8),(94607,7),(94608,9),(94609,8),(94610,9),(94611,4),(94612,2),(94613,6),(94614,8),(94615,9),(94616,2),(94617,5),(94618,2),(94619,4),(94620,7),(94621,7),(94622,4),(94623,6),(94624,5),(94625,5),(94626,5),(94627,2),(94628,2),(94629,2),(94630,8),(94631,3),(94632,4),(94633,4),(94634,5),(94635,8),(94636,8),(94637,9),(94638,2),(94639,5),(94640,1),(94641,5),(94642,3),(94643,2),(94644,7),(94645,7),(94646,8),(94647,1),(94648,9),(94649,1),(94650,7),(94651,3),(94652,9),(94653,9),(94654,7),(94655,6),(94656,1),(94657,8),(94658,4),(94659,3),(94660,3),(94661,2),(94662,3),(94663,3),(94664,8),(94665,5),(94666,9),(94667,8),(94668,7),(94669,5),(94670,5),(94671,3),(94672,7),(94673,2),(94674,9),(94675,5),(94676,7),(94677,7),(94678,1),(94679,8),(94680,7),(94681,2),(94682,6),(94683,2),(94684,4),(94685,3),(94686,8),(94687,4),(94688,8),(94689,4),(94690,5),(94691,8),(94692,4),(94693,1),(94694,2),(94695,2),(94696,9),(94697,4),(94698,6),(94699,7),(94700,2),(94701,8),(94702,5),(94703,5),(94704,2),(94705,6),(94706,2),(94707,5),(94708,4),(94709,1),(94710,7),(94711,1),(94712,8),(94713,2),(94714,2),(94715,5),(94716,1),(94717,5),(94718,5),(94719,4),(94720,3),(94721,7),(94722,5),(94723,9),(94724,3),(94725,7),(94726,2),(94727,9),(94728,8),(94729,7),(94730,2),(94731,5),(94732,4),(94733,6),(94734,3),(94735,1),(94736,1),(94737,3),(94738,1),(94739,2),(94740,5),(94741,4),(94742,3),(94743,9),(94744,2),(94745,4),(94746,5),(94747,5),(94748,7),(94749,6),(94750,1),(94751,1),(94752,1),(94753,7),(94754,4),(94755,2),(94756,5),(94757,1),(94758,9),(94759,6),(94760,5),(94761,8),(94762,1),(94763,2),(94764,8),(94765,2),(94766,8),(94767,1),(94768,4),(94769,9),(94770,2),(94771,6),(94772,2),(94773,8),(94774,6),(94775,2),(94776,1),(94777,4),(94778,4),(94779,3),(94780,6),(94781,4),(94782,9),(94783,3),(94784,5),(94785,1),(94786,7),(94787,3),(94788,2),(94789,6),(94790,3),(94791,8),(94792,8),(94793,9),(94794,5),(94795,9),(94796,1),(94797,4),(94798,1),(94799,4),(94800,8),(94801,8),(94802,5),(94803,4),(94804,1),(94805,1),(94806,6),(94807,3),(94808,3),(94809,2),(94810,9),(94811,4),(94812,2),(94813,6),(94814,6),(94815,4),(94816,3),(94817,4),(94818,5),(94819,8),(94820,7),(94821,1),(94822,1),(94823,8),(94824,4),(94825,7),(94826,9),(94827,1),(94828,4),(94829,2),(94830,1),(94831,6),(94832,9),(94833,6),(94834,4),(94835,6),(94836,8),(94837,2),(94838,6),(94839,3),(94840,4),(94841,2),(94842,8),(94843,3),(94844,1),(94845,5),(94846,1),(94847,8),(94848,7),(94849,7),(94850,2),(94851,2),(94852,3),(94853,2),(94854,6),(94855,1),(94856,2),(94857,3),(94858,2),(94859,2),(94860,1),(94861,3),(94862,5),(94863,3),(94864,3),(94865,9),(94866,5),(94867,3),(94868,3),(94869,5),(94870,7),(94871,9),(94872,8),(94873,4),(94874,7),(94875,8),(94876,3),(94877,7),(94878,9),(94879,4),(94880,5),(94881,3),(94882,8),(94883,9),(94884,5),(94885,1),(94886,3),(94887,7),(94888,5),(94889,5),(94890,8),(94891,6),(94892,6),(94893,6),(94894,7),(94895,3),(94896,2),(94897,5),(94898,1),(94899,6),(94900,2),(94901,6),(94902,3),(94903,5),(94904,9),(94905,8),(94906,2),(94907,5),(94908,4),(94909,4),(94910,8),(94911,9),(94912,2),(94913,1),(94914,8),(94915,3),(94916,6),(94917,7),(94918,9),(94919,7),(94920,3),(94921,9),(94922,4),(94923,1),(94924,8),(94925,8),(94926,3),(94927,2),(94928,3),(94929,3),(94930,4),(94931,9),(94932,3),(94933,8),(94934,7),(94935,8),(94936,3),(94937,1),(94938,4),(94939,5),(94940,4),(94941,5),(94942,7),(94943,8),(94944,7),(94945,1),(94946,8),(94947,9),(94948,4),(94949,4),(94950,3),(94951,4),(94952,9),(94953,3),(94954,7),(94955,7),(94956,5),(94957,3),(94958,4),(94959,9),(94960,2),(94961,4),(94962,4),(94963,1),(94964,5),(94965,5),(94966,7),(94967,2),(94968,9),(94969,5),(94970,7),(94971,1),(94972,7),(94973,5),(94974,9),(94975,3),(94976,7),(94977,6),(94978,6),(94979,4),(94980,6),(94981,5),(94982,6),(94983,6),(94984,3),(94985,2),(94986,4),(94987,3),(94988,7),(94989,7),(94990,8),(94991,4),(94992,6),(94993,1),(94994,9),(94995,2),(94996,7),(94997,5),(94998,3),(94999,7),(95000,7),(95001,1),(95002,2),(95003,4),(95004,4),(95005,2),(95006,6),(95007,5),(95008,5),(95009,9),(95010,7),(95011,4),(95012,8),(95013,1),(95014,2),(95015,5),(95016,2),(95017,7),(95018,9),(95019,7),(95020,8),(95021,9),(95022,7),(95023,4),(95024,2),(95025,8),(95026,8),(95027,9),(95028,3),(95029,4),(95030,9),(95031,9),(95032,9),(95033,8),(95034,5),(95035,5),(95036,2),(95037,1),(95038,3),(95039,5),(95040,5),(95041,5),(95042,3),(95043,7),(95044,6),(95045,5),(95046,7),(95047,2),(95048,7),(95049,7),(95050,3),(95051,7),(95052,5),(95053,3),(95054,2),(95055,2),(95056,3),(95057,3),(95058,2),(95059,7),(95060,4),(95061,5),(95062,8),(95063,8),(95064,6),(95065,2),(95066,7),(95067,9),(95068,4),(95069,4),(95070,2),(95071,4),(95072,5),(95073,2),(95074,8),(95075,5),(95076,4),(95077,6),(95078,5),(95079,3),(95080,3),(95081,6),(95082,4),(95083,8),(95084,3),(95085,6),(95086,8),(95087,6),(95088,2),(95089,1),(95090,8),(95091,8),(95092,2),(95093,7),(95094,3),(95095,4),(95096,2),(95097,6),(95098,7),(95099,7),(95100,8),(95101,5),(95102,6),(95103,4),(95104,1),(95105,8),(95106,6),(95107,5),(95108,2),(95109,3),(95110,2),(95111,8),(95112,3),(95113,1),(95114,8),(95115,3),(95116,1),(95117,2),(95118,3),(95119,9),(95120,8),(95121,6),(95122,8),(95123,6),(95124,7),(95125,7),(95126,1),(95127,8),(95128,7),(95129,8),(95130,5),(95131,3),(95132,5),(95133,3),(95134,4),(95135,1),(95136,8),(95137,9),(95138,8),(95139,6),(95140,2),(95141,8),(95142,6),(95143,5),(95144,2),(95145,1),(95146,7),(95147,8),(95148,7),(95149,6),(95150,3),(95151,2),(95152,2),(95153,6),(95154,8),(95155,4),(95156,3),(95157,3),(95158,2),(95159,3),(95160,1),(95161,1),(95162,3),(95163,7),(95164,1),(95165,9),(95166,2),(95167,4),(95168,1),(95169,9),(95170,1),(95171,1),(95172,4),(95173,5),(95174,9),(95175,8),(95176,5),(95177,8),(95178,4),(95179,2),(95180,2),(95181,3),(95182,9),(95183,3),(95184,6),(95185,8),(95186,6),(95187,1),(95188,6),(95189,4),(95190,6),(95191,2),(95192,2),(95193,4),(95194,5),(95195,4),(95196,7),(95197,3),(95198,5),(95199,4),(95200,9),(95201,2),(95202,7),(95203,4),(95204,2),(95205,3),(95206,6),(95207,9),(95208,8),(95209,3),(95210,1),(95211,5),(95212,5),(95213,4),(95214,5),(95215,5),(95216,3),(95217,8),(95218,3),(95219,6),(95220,5),(95221,6),(95222,9),(95223,4),(95224,2),(95225,4),(95226,5),(95227,5),(95228,2),(95229,2),(95230,2),(95231,5),(95232,3),(95233,2),(95234,7),(95235,9),(95236,8),(95237,4),(95238,2),(95239,9),(95240,8),(95241,1),(95242,1),(95243,3),(95244,8),(95245,9),(95246,9),(95247,8),(95248,1),(95249,5),(95250,8),(95251,7),(95252,3),(95253,3),(95254,6),(95255,3),(95256,7),(95257,4),(95258,4),(95259,2),(95260,4),(95261,6),(95262,3),(95263,6),(95264,9),(95265,1),(95266,2),(95267,7),(95268,7),(95269,5),(95270,8),(95271,2),(95272,7),(95273,2),(95274,2),(95275,3),(95276,3),(95277,7),(95278,2),(95279,3),(95280,3),(95281,5),(95282,1),(95283,5),(95284,4),(95285,2),(95286,2),(95287,7),(95288,7),(95289,6),(95290,5),(95291,2),(95292,1),(95293,2),(95294,6),(95295,3),(95296,5),(95297,7),(95298,4),(95299,3),(95300,6),(95301,7),(95302,8),(95303,8),(95304,4),(95305,1),(95306,1),(95307,3),(95308,5),(95309,8),(95310,3),(95311,8),(95312,3),(95313,7),(95314,2),(95315,8),(95316,8),(95317,9),(95318,3),(95319,1),(95320,5),(95321,9),(95322,5),(95323,6),(95324,4),(95325,8),(95326,1),(95327,7),(95328,7),(95329,4),(95330,1),(95331,7),(95332,4),(95333,1),(95334,4),(95335,2),(95336,5),(95337,3),(95338,2),(95339,9),(95340,3),(95341,1),(95342,5),(95343,5),(95344,1),(95345,5),(95346,4),(95347,1),(95348,1),(95349,4),(95350,9),(95351,1),(95352,7),(95353,3),(95354,6),(95355,5),(95356,2),(95357,9),(95358,4),(95359,6),(95360,7),(95361,8),(95362,3),(95363,8),(95364,3),(95365,9),(95366,6),(95367,5),(95368,6),(95369,7),(95370,3),(95371,1),(95372,2),(95373,6),(95374,6),(95375,5),(95376,3),(95377,1),(95378,7),(95379,7),(95380,4),(95381,3),(95382,2),(95383,3),(95384,1),(95385,7),(95386,3),(95387,9),(95388,4),(95389,4),(95390,5),(95391,3),(95392,5),(95393,1),(95394,7),(95395,7),(95396,2),(95397,8),(95398,2),(95399,4),(95400,2),(95401,9),(95402,3),(95403,6),(95404,1),(95405,4),(95406,7),(95407,5),(95408,3),(95409,4),(95410,4),(95411,8),(95412,5),(95413,9),(95414,4),(95415,7),(95416,6),(95417,6),(95418,5),(95419,8),(95420,7),(95421,1),(95422,4),(95423,9),(95424,9),(95425,4),(95426,9),(95427,1),(95428,6),(95429,6),(95430,8),(95431,1),(95432,4),(95433,7),(95434,5),(95435,9),(95436,2),(95437,3),(95438,9),(95439,8),(95440,6),(95441,3),(95442,2),(95443,2),(95444,5),(95445,2),(95446,5),(95447,8),(95448,8),(95449,6),(95450,2),(95451,3),(95452,4),(95453,8),(95454,9),(95455,7),(95456,2),(95457,3),(95458,4),(95459,4),(95460,2),(95461,7),(95462,3),(95463,7),(95464,9),(95465,6),(95466,3),(95467,2),(95468,3),(95469,1),(95470,5),(95471,4),(95472,5),(95473,4),(95474,9),(95475,2),(95476,7),(95477,8),(95478,6),(95479,7),(95480,2),(95481,6),(95482,2),(95483,8),(95484,8),(95485,6),(95486,7),(95487,7),(95488,5),(95489,9),(95490,1),(95491,4),(95492,9),(95493,6),(95494,9),(95495,8),(95496,7),(95497,6),(95498,9),(95499,6),(95500,7),(95501,4),(95502,2),(95503,2),(95504,3),(95505,2),(95506,5),(95507,9),(95508,8),(95509,6),(95510,9),(95511,4),(95512,8),(95513,4),(95514,1),(95515,3),(95516,5),(95517,3),(95518,3),(95519,1),(95520,5),(95521,8),(95522,1),(95523,7),(95524,7),(95525,6),(95526,4),(95527,6),(95528,7),(95529,3),(95530,1),(95531,1),(95532,4),(95533,2),(95534,4),(95535,7),(95536,8),(95537,2),(95538,1),(95539,3),(95540,7),(95541,2),(95542,3),(95543,3),(95544,4),(95545,3),(95546,4),(95547,7),(95548,8),(95549,7),(95550,8),(95551,5),(95552,9),(95553,4),(95554,9),(95555,9),(95556,8),(95557,6),(95558,5),(95559,2),(95560,4),(95561,6),(95562,1),(95563,9),(95564,9),(95565,2),(95566,7),(95567,6),(95568,2),(95569,5),(95570,9),(95571,5),(95572,8),(95573,7),(95574,2),(95575,8),(95576,7),(95577,2),(95578,2),(95579,6),(95580,6),(95581,9),(95582,3),(95583,2),(95584,7),(95585,8),(95586,3),(95587,5),(95588,1),(95589,5),(95590,7),(95591,5),(95592,4),(95593,1),(95594,1),(95595,1),(95596,9),(95597,6),(95598,4),(95599,1),(95600,8),(95601,8),(95602,3),(95603,9),(95604,1),(95605,8),(95606,1),(95607,1),(95608,9),(95609,5),(95610,6),(95611,2),(95612,1),(95613,8),(95614,6),(95615,2),(95616,1),(95617,9),(95618,1),(95619,5),(95620,8),(95621,5),(95622,5),(95623,5),(95624,6),(95625,1),(95626,7),(95627,3),(95628,5),(95629,9),(95630,8),(95631,3),(95632,9),(95633,5),(95634,4),(95635,2),(95636,3),(95637,5),(95638,9),(95639,3),(95640,3),(95641,3),(95642,6),(95643,9),(95644,2),(95645,4),(95646,1),(95647,6),(95648,3),(95649,3),(95650,2),(95651,9),(95652,6),(95653,1),(95654,2),(95655,7),(95656,2),(95657,4),(95658,4),(95659,4),(95660,3),(95661,4),(95662,6),(95663,2),(95664,4),(95665,7),(95666,5),(95667,5),(95668,6),(95669,4),(95670,6),(95671,5),(95672,5),(95673,6),(95674,3),(95675,8),(95676,7),(95677,5),(95678,8),(95679,5),(95680,6),(95681,5),(95682,3),(95683,4),(95684,2),(95685,9),(95686,1),(95687,1),(95688,3),(95689,7),(95690,4),(95691,9),(95692,2),(95693,5),(95694,7),(95695,5),(95696,8),(95697,8),(95698,6),(95699,8),(95700,9),(95701,6),(95702,2),(95703,8),(95704,6),(95705,4),(95706,7),(95707,9),(95708,6),(95709,1),(95710,3),(95711,8),(95712,3),(95713,4),(95714,8),(95715,3),(95716,9),(95717,8),(95718,4),(95719,7),(95720,2),(95721,6),(95722,7),(95723,6),(95724,2),(95725,3),(95726,1),(95727,8),(95728,7),(95729,7),(95730,6),(95731,8),(95732,1),(95733,9),(95734,3),(95735,4),(95736,2),(95737,3),(95738,3),(95739,5),(95740,2),(95741,4),(95742,6),(95743,5),(95744,6),(95745,9),(95746,3),(95747,5),(95748,1),(95749,6),(95750,8),(95751,6),(95752,8),(95753,1),(95754,7),(95755,6),(95756,7),(95757,9),(95758,3),(95759,3),(95760,6),(95761,7),(95762,9),(95763,4),(95764,6),(95765,2),(95766,1),(95767,6),(95768,6),(95769,5),(95770,9),(95771,6),(95772,5),(95773,1),(95774,6),(95775,5),(95776,9),(95777,1),(95778,8),(95779,6),(95780,7),(95781,6),(95782,2),(95783,7),(95784,3),(95785,4),(95786,6),(95787,8),(95788,2),(95789,8),(95790,7),(95791,9),(95792,7),(95793,1),(95794,3),(95795,7),(95796,9),(95797,8),(95798,2),(95799,6),(95800,9),(95801,9),(95802,1),(95803,7),(95804,5),(95805,2),(95806,6),(95807,2),(95808,4),(95809,1),(95810,6),(95811,5),(95812,5),(95813,4),(95814,5),(95815,9),(95816,6),(95817,9),(95818,4),(95819,3),(95820,7),(95821,9),(95822,5),(95823,5),(95824,7),(95825,1),(95826,3),(95827,8),(95828,9),(95829,1),(95830,8),(95831,4),(95832,2),(95833,6),(95834,6),(95835,6),(95836,3),(95837,9),(95838,6),(95839,7),(95840,1),(95841,3),(95842,1),(95843,4),(95844,9),(95845,2),(95846,6),(95847,7),(95848,3),(95849,5),(95850,4),(95851,3),(95852,7),(95853,9),(95854,9),(95855,5),(95856,8),(95857,4),(95858,5),(95859,8),(95860,1),(95861,6),(95862,5),(95863,1),(95864,6),(95865,1),(95866,9),(95867,8),(95868,1),(95869,3),(95870,5),(95871,4),(95872,4),(95873,2),(95874,2),(95875,1),(95876,6),(95877,8),(95878,7),(95879,1),(95880,1),(95881,4),(95882,5),(95883,9),(95884,7),(95885,1),(95886,6),(95887,1),(95888,7),(95889,8),(95890,5),(95891,9),(95892,1),(95893,1),(95894,1),(95895,3),(95896,7),(95897,3),(95898,9),(95899,6),(95900,9),(95901,2),(95902,5),(95903,2),(95904,6),(95905,6),(95906,5),(95907,4),(95908,4),(95909,7),(95910,4),(95911,8),(95912,8),(95913,9),(95914,1),(95915,2),(95916,6),(95917,2),(95918,4),(95919,9),(95920,5),(95921,1),(95922,1),(95923,2),(95924,8),(95925,7),(95926,4),(95927,8),(95928,4),(95929,5),(95930,3),(95931,3),(95932,1),(95933,6),(95934,9),(95935,1),(95936,5),(95937,3),(95938,3),(95939,6),(95940,4),(95941,8),(95942,3),(95943,6),(95944,1),(95945,8),(95946,6),(95947,6),(95948,8),(95949,1),(95950,6),(95951,2),(95952,5),(95953,7),(95954,1),(95955,9),(95956,9),(95957,2),(95958,5),(95959,5),(95960,8),(95961,4),(95962,7),(95963,9),(95964,8),(95965,3),(95966,2),(95967,5),(95968,2),(95969,9),(95970,9),(95971,6),(95972,4),(95973,4),(95974,8),(95975,9),(95976,7),(95977,3),(95978,4),(95979,9),(95980,3),(95981,6),(95982,8),(95983,4),(95984,1),(95985,7),(95986,6),(95987,3),(95988,9),(95989,5),(95990,9),(95991,6),(95992,7),(95993,7),(95994,6),(95995,2),(95996,8),(95997,7),(95998,2),(95999,2),(96000,2),(96001,6),(96002,1),(96003,4),(96004,5),(96005,2),(96006,1),(96007,1),(96008,7),(96009,3),(96010,4),(96011,4),(96012,3),(96013,5),(96014,1),(96015,5),(96016,8),(96017,3),(96018,2),(96019,9),(96020,6),(96021,8),(96022,5),(96023,1),(96024,7),(96025,7),(96026,8),(96027,5),(96028,1),(96029,5),(96030,7),(96031,8),(96032,2),(96033,8),(96034,3),(96035,4),(96036,2),(96037,4),(96038,2),(96039,8),(96040,3),(96041,1),(96042,4),(96043,5),(96044,5),(96045,9),(96046,3),(96047,9),(96048,6),(96049,9),(96050,3),(96051,4),(96052,4),(96053,1),(96054,3),(96055,4),(96056,2),(96057,3),(96058,9),(96059,8),(96060,9),(96061,3),(96062,9),(96063,4),(96064,6),(96065,3),(96066,1),(96067,7),(96068,1),(96069,5),(96070,9),(96071,5),(96072,4),(96073,2),(96074,3),(96075,8),(96076,1),(96077,9),(96078,1),(96079,1),(96080,2),(96081,3),(96082,5),(96083,3),(96084,8),(96085,4),(96086,2),(96087,5),(96088,9),(96089,9),(96090,9),(96091,4),(96092,1),(96093,8),(96094,5),(96095,8),(96096,7),(96097,5),(96098,6),(96099,3),(96100,6),(96101,7),(96102,6),(96103,5),(96104,4),(96105,3),(96106,6),(96107,8),(96108,1),(96109,7),(96110,6),(96111,3),(96112,9),(96113,8),(96114,6),(96115,1),(96116,5),(96117,5),(96118,4),(96119,8),(96120,5),(96121,7),(96122,6),(96123,3),(96124,4),(96125,2),(96126,7),(96127,2),(96128,6),(96129,9),(96130,5),(96131,4),(96132,4),(96133,9),(96134,1),(96135,8),(96136,8),(96137,9),(96138,7),(96139,2),(96140,2),(96141,8),(96142,2),(96143,8),(96144,1),(96145,8),(96146,9),(96147,1),(96148,8),(96149,8),(96150,9),(96151,5),(96152,5),(96153,8),(96154,5),(96155,3),(96156,5),(96157,6),(96158,9),(96159,5),(96160,8),(96161,5),(96162,4),(96163,3),(96164,1),(96165,4),(96166,2),(96167,3),(96168,9),(96169,9),(96170,8),(96171,3),(96172,3),(96173,2),(96174,5),(96175,9),(96176,1),(96177,2),(96178,6),(96179,3),(96180,9),(96181,2),(96182,1),(96183,1),(96184,5),(96185,5),(96186,6),(96187,9),(96188,3),(96189,4),(96190,9),(96191,2),(96192,4),(96193,9),(96194,1),(96195,5),(96196,2),(96197,7),(96198,1),(96199,3),(96200,7),(96201,5),(96202,2),(96203,1),(96204,4),(96205,9),(96206,7),(96207,2),(96208,7),(96209,1),(96210,4),(96211,2),(96212,5),(96213,1),(96214,7),(96215,8),(96216,3),(96217,8),(96218,1),(96219,5),(96220,2),(96221,7),(96222,4),(96223,9),(96224,2),(96225,8),(96226,9),(96227,7),(96228,6),(96229,7),(96230,7),(96231,6),(96232,7),(96233,3),(96234,6),(96235,3),(96236,6),(96237,7),(96238,8),(96239,4),(96240,3),(96241,4),(96242,1),(96243,8),(96244,1),(96245,8),(96246,6),(96247,5),(96248,6),(96249,2),(96250,7),(96251,9),(96252,1),(96253,4),(96254,2),(96255,6),(96256,1),(96257,4),(96258,6),(96259,8),(96260,2),(96261,7),(96262,2),(96263,8),(96264,3),(96265,8),(96266,6),(96267,2),(96268,9),(96269,9),(96270,1),(96271,2),(96272,7),(96273,6),(96274,1),(96275,9),(96276,4),(96277,5),(96278,3),(96279,4),(96280,6),(96281,5),(96282,2),(96283,6),(96284,7),(96285,2),(96286,6),(96287,4),(96288,1),(96289,9),(96290,4),(96291,1),(96292,9),(96293,3),(96294,6),(96295,9),(96296,3),(96297,4),(96298,6),(96299,6),(96300,5),(96301,5),(96302,9),(96303,4),(96304,1),(96305,3),(96306,7),(96307,5),(96308,1),(96309,7),(96310,6),(96311,2),(96312,4),(96313,7),(96314,8),(96315,6),(96316,7),(96317,1),(96318,6),(96319,2),(96320,8),(96321,6),(96322,1),(96323,1),(96324,1),(96325,1),(96326,6),(96327,2),(96328,4),(96329,1),(96330,8),(96331,2),(96332,4),(96333,3),(96334,6),(96335,3),(96336,7),(96337,9),(96338,2),(96339,6),(96340,7),(96341,7),(96342,1),(96343,9),(96344,1),(96345,9),(96346,9),(96347,1),(96348,7),(96349,9),(96350,5),(96351,8),(96352,7),(96353,4),(96354,6),(96355,7),(96356,4),(96357,4),(96358,2),(96359,9),(96360,8),(96361,2),(96362,3),(96363,3),(96364,5),(96365,9),(96366,5),(96367,9),(96368,6),(96369,4),(96370,4),(96371,7),(96372,2),(96373,4),(96374,7),(96375,7),(96376,2),(96377,9),(96378,1),(96379,7),(96380,9),(96381,2),(96382,3),(96383,4),(96384,8),(96385,3),(96386,6),(96387,9),(96388,9),(96389,5),(96390,4),(96391,3),(96392,2),(96393,7),(96394,8),(96395,5),(96396,6),(96397,7),(96398,1),(96399,3),(96400,3),(96401,6),(96402,2),(96403,8),(96404,6),(96405,8),(96406,9),(96407,7),(96408,3),(96409,6),(96410,2),(96411,1),(96412,4),(96413,9),(96414,2),(96415,9),(96416,3),(96417,5),(96418,3),(96419,9),(96420,2),(96421,5),(96422,8),(96423,3),(96424,6),(96425,5),(96426,4),(96427,3),(96428,1),(96429,1),(96430,2),(96431,3),(96432,6),(96433,5),(96434,1),(96435,1),(96436,9),(96437,7),(96438,5),(96439,6),(96440,6),(96441,6),(96442,5),(96443,2),(96444,3),(96445,4),(96446,1),(96447,9),(96448,3),(96449,7),(96450,1),(96451,4),(96452,6),(96453,8),(96454,2),(96455,1),(96456,9),(96457,6),(96458,4),(96459,8),(96460,1),(96461,2),(96462,7),(96463,6),(96464,9),(96465,3),(96466,4),(96467,2),(96468,6),(96469,6),(96470,7),(96471,2),(96472,6),(96473,8),(96474,3),(96475,5),(96476,8),(96477,2),(96478,8),(96479,1),(96480,7),(96481,4),(96482,1),(96483,3),(96484,8),(96485,8),(96486,5),(96487,8),(96488,8),(96489,8),(96490,2),(96491,8),(96492,2),(96493,9),(96494,2),(96495,2),(96496,1),(96497,5),(96498,4),(96499,5),(96500,2),(96501,8),(96502,8),(96503,7),(96504,2),(96505,7),(96506,5),(96507,6),(96508,5),(96509,5),(96510,7),(96511,5),(96512,2),(96513,2),(96514,1),(96515,3),(96516,3),(96517,5),(96518,6),(96519,7),(96520,1),(96521,8),(96522,7),(96523,7),(96524,3),(96525,5),(96526,4),(96527,6),(96528,2),(96529,9),(96530,9),(96531,4),(96532,4),(96533,5),(96534,1),(96535,4),(96536,6),(96537,4),(96538,5),(96539,5),(96540,1),(96541,4),(96542,8),(96543,1),(96544,3),(96545,8),(96546,8),(96547,3),(96548,1),(96549,7),(96550,7),(96551,5),(96552,3),(96553,9),(96554,1),(96555,7),(96556,8),(96557,5),(96558,7),(96559,3),(96560,1),(96561,9),(96562,9),(96563,3),(96564,1),(96565,4),(96566,1),(96567,5),(96568,6),(96569,9),(96570,3),(96571,5),(96572,4),(96573,1),(96574,4),(96575,4),(96576,2),(96577,5),(96578,5),(96579,6),(96580,9),(96581,6),(96582,2),(96583,9),(96584,9),(96585,4),(96586,7),(96587,6),(96588,9),(96589,7),(96590,2),(96591,2),(96592,9),(96593,2),(96594,7),(96595,9),(96596,4),(96597,4),(96598,2),(96599,2),(96600,7),(96601,1),(96602,4),(96603,8),(96604,3),(96605,8),(96606,8),(96607,5),(96608,7),(96609,1),(96610,4),(96611,7),(96612,4),(96613,6),(96614,3),(96615,4),(96616,4),(96617,7),(96618,3),(96619,3),(96620,4),(96621,3),(96622,6),(96623,3),(96624,7),(96625,2),(96626,2),(96627,6),(96628,6),(96629,1),(96630,4),(96631,6),(96632,6),(96633,6),(96634,8),(96635,7),(96636,8),(96637,5),(96638,5),(96639,4),(96640,6),(96641,1),(96642,5),(96643,1),(96644,8),(96645,1),(96646,5),(96647,1),(96648,3),(96649,6),(96650,8),(96651,2),(96652,4),(96653,6),(96654,8),(96655,1),(96656,6),(96657,2),(96658,8),(96659,8),(96660,7),(96661,8),(96662,7),(96663,8),(96664,9),(96665,6),(96666,5),(96667,5),(96668,3),(96669,9),(96670,5),(96671,6),(96672,5),(96673,8),(96674,6),(96675,6),(96676,1),(96677,9),(96678,4),(96679,1),(96680,3),(96681,8),(96682,2),(96683,5),(96684,1),(96685,2),(96686,4),(96687,8),(96688,6),(96689,2),(96690,8),(96691,8),(96692,7),(96693,8),(96694,9),(96695,7),(96696,5),(96697,4),(96698,3),(96699,4),(96700,7),(96701,7),(96702,5),(96703,3),(96704,3),(96705,5),(96706,2),(96707,8),(96708,3),(96709,5),(96710,3),(96711,9),(96712,7),(96713,8),(96714,6),(96715,7),(96716,5),(96717,6),(96718,4),(96719,1),(96720,7),(96721,4),(96722,9),(96723,2),(96724,7),(96725,5),(96726,5),(96727,4),(96728,7),(96729,2),(96730,8),(96731,1),(96732,8),(96733,1),(96734,8),(96735,1),(96736,2),(96737,7),(96738,2),(96739,3),(96740,9),(96741,8),(96742,1),(96743,2),(96744,7),(96745,3),(96746,1),(96747,4),(96748,8),(96749,9),(96750,5),(96751,7),(96752,2),(96753,2),(96754,5),(96755,2),(96756,3),(96757,2),(96758,7),(96759,2),(96760,8),(96761,3),(96762,1),(96763,1),(96764,3),(96765,1),(96766,5),(96767,7),(96768,4),(96769,9),(96770,5),(96771,6),(96772,9),(96773,6),(96774,1),(96775,9),(96776,6),(96777,3),(96778,5),(96779,5),(96780,7),(96781,2),(96782,1),(96783,6),(96784,6),(96785,6),(96786,7),(96787,2),(96788,6),(96789,3),(96790,7),(96791,5),(96792,4),(96793,1),(96794,1),(96795,1),(96796,3),(96797,7),(96798,8),(96799,9),(96800,8),(96801,3),(96802,9),(96803,5),(96804,2),(96805,2),(96806,9),(96807,9),(96808,4),(96809,1),(96810,5),(96811,4),(96812,7),(96813,3),(96814,6),(96815,8),(96816,4),(96817,8),(96818,4),(96819,5),(96820,3),(96821,3),(96822,6),(96823,2),(96824,4),(96825,4),(96826,8),(96827,7),(96828,5),(96829,8),(96830,5),(96831,9),(96832,5),(96833,6),(96834,7),(96835,7),(96836,2),(96837,7),(96838,8),(96839,6),(96840,3),(96841,9),(96842,7),(96843,6),(96844,2),(96845,7),(96846,5),(96847,6),(96848,7),(96849,8),(96850,4),(96851,6),(96852,7),(96853,7),(96854,5),(96855,6),(96856,8),(96857,5),(96858,2),(96859,7),(96860,4),(96861,9),(96862,2),(96863,7),(96864,9),(96865,1),(96866,7),(96867,2),(96868,9),(96869,5),(96870,4),(96871,5),(96872,8),(96873,1),(96874,6),(96875,4),(96876,5),(96877,4),(96878,2),(96879,1),(96880,3),(96881,9),(96882,4),(96883,2),(96884,8),(96885,3),(96886,1),(96887,8),(96888,1),(96889,8),(96890,1),(96891,6),(96892,4),(96893,9),(96894,6),(96895,6),(96896,2),(96897,1),(96898,1),(96899,1),(96900,9),(96901,1),(96902,9),(96903,6),(96904,6),(96905,7),(96906,5),(96907,8),(96908,1),(96909,1),(96910,1),(96911,6),(96912,2),(96913,5),(96914,1),(96915,1),(96916,9),(96917,1),(96918,3),(96919,2),(96920,1),(96921,2),(96922,2),(96923,2),(96924,5),(96925,5),(96926,2),(96927,6),(96928,2),(96929,4),(96930,9),(96931,2),(96932,4),(96933,9),(96934,4),(96935,9),(96936,6),(96937,2),(96938,2),(96939,3),(96940,3),(96941,4),(96942,8),(96943,3),(96944,7),(96945,6),(96946,7),(96947,6),(96948,7),(96949,1),(96950,3),(96951,9),(96952,5),(96953,5),(96954,5),(96955,1),(96956,1),(96957,4),(96958,4),(96959,3),(96960,8),(96961,9),(96962,7),(96963,2),(96964,3),(96965,2),(96966,6),(96967,3),(96968,1),(96969,7),(96970,8),(96971,1),(96972,8),(96973,5),(96974,4),(96975,1),(96976,6),(96977,1),(96978,2),(96979,5),(96980,4),(96981,1),(96982,7),(96983,1),(96984,5),(96985,7),(96986,8),(96987,8),(96988,8),(96989,5),(96990,8),(96991,3),(96992,3),(96993,5),(96994,7),(96995,7),(96996,6),(96997,6),(96998,1),(96999,5),(97000,9),(97001,7),(97002,8),(97003,6),(97004,5),(97005,5),(97006,4),(97007,7),(97008,4),(97009,1),(97010,8),(97011,8),(97012,7),(97013,4),(97014,1),(97015,1),(97016,3),(97017,6),(97018,3),(97019,8),(97020,3),(97021,8),(97022,2),(97023,7),(97024,7),(97025,2),(97026,6),(97027,6),(97028,8),(97029,4),(97030,2),(97031,1),(97032,4),(97033,3),(97034,8),(97035,6),(97036,2),(97037,5),(97038,1),(97039,6),(97040,2),(97041,8),(97042,3),(97043,6),(97044,5),(97045,8),(97046,2),(97047,7),(97048,7),(97049,1),(97050,1),(97051,1),(97052,3),(97053,6),(97054,2),(97055,5),(97056,8),(97057,7),(97058,7),(97059,5),(97060,4),(97061,8),(97062,6),(97063,6),(97064,8),(97065,4),(97066,8),(97067,2),(97068,7),(97069,5),(97070,4),(97071,7),(97072,8),(97073,5),(97074,8),(97075,9),(97076,4),(97077,9),(97078,8),(97079,6),(97080,2),(97081,7),(97082,8),(97083,6),(97084,5),(97085,1),(97086,8),(97087,5),(97088,1),(97089,7),(97090,2),(97091,1),(97092,4),(97093,1),(97094,3),(97095,9),(97096,3),(97097,3),(97098,8),(97099,9),(97100,1),(97101,9),(97102,2),(97103,7),(97104,4),(97105,5),(97106,4),(97107,8),(97108,8),(97109,6),(97110,9),(97111,8),(97112,9),(97113,3),(97114,9),(97115,5),(97116,8),(97117,3),(97118,3),(97119,5),(97120,6),(97121,7),(97122,7),(97123,4),(97124,5),(97125,7),(97126,8),(97127,9),(97128,7),(97129,8),(97130,9),(97131,5),(97132,4),(97133,9),(97134,2),(97135,7),(97136,8),(97137,8),(97138,4),(97139,4),(97140,8),(97141,8),(97142,2),(97143,8),(97144,7),(97145,5),(97146,7),(97147,3),(97148,6),(97149,2),(97150,5),(97151,6),(97152,2),(97153,3),(97154,9),(97155,4),(97156,8),(97157,7),(97158,7),(97159,1),(97160,8),(97161,2),(97162,4),(97163,3),(97164,4),(97165,7),(97166,9),(97167,2),(97168,6),(97169,6),(97170,5),(97171,1),(97172,7),(97173,6),(97174,4),(97175,3),(97176,3),(97177,1),(97178,5),(97179,2),(97180,6),(97181,4),(97182,1),(97183,8),(97184,6),(97185,4),(97186,9),(97187,6),(97188,1),(97189,3),(97190,7),(97191,9),(97192,9),(97193,1),(97194,7),(97195,9),(97196,8),(97197,8),(97198,4),(97199,2),(97200,3),(97201,5),(97202,4),(97203,8),(97204,1),(97205,5),(97206,1),(97207,9),(97208,6),(97209,8),(97210,4),(97211,3),(97212,4),(97213,3),(97214,7),(97215,6),(97216,8),(97217,9),(97218,4),(97219,8),(97220,8),(97221,7),(97222,1),(97223,9),(97224,3),(97225,5),(97226,3),(97227,1),(97228,8),(97229,5),(97230,8),(97231,1),(97232,9),(97233,4),(97234,5),(97235,1),(97236,6),(97237,1),(97238,5),(97239,3),(97240,9),(97241,1),(97242,6),(97243,9),(97244,3),(97245,3),(97246,5),(97247,7),(97248,6),(97249,3),(97250,6),(97251,1),(97252,3),(97253,2),(97254,2),(97255,3),(97256,1),(97257,5),(97258,8),(97259,7),(97260,6),(97261,5),(97262,3),(97263,7),(97264,4),(97265,9),(97266,5),(97267,8),(97268,2),(97269,6),(97270,1),(97271,7),(97272,2),(97273,9),(97274,9),(97275,9),(97276,1),(97277,9),(97278,1),(97279,2),(97280,2),(97281,8),(97282,2),(97283,6),(97284,5),(97285,6),(97286,5),(97287,1),(97288,2),(97289,8),(97290,6),(97291,1),(97292,2),(97293,7),(97294,9),(97295,9),(97296,5),(97297,5),(97298,5),(97299,3),(97300,9),(97301,5),(97302,6),(97303,6),(97304,1),(97305,7),(97306,6),(97307,1),(97308,3),(97309,9),(97310,3),(97311,6),(97312,5),(97313,1),(97314,3),(97315,7),(97316,9),(97317,6),(97318,9),(97319,1),(97320,5),(97321,4),(97322,3),(97323,7),(97324,9),(97325,4),(97326,1),(97327,7),(97328,4),(97329,4),(97330,3),(97331,9),(97332,9),(97333,3),(97334,8),(97335,5),(97336,9),(97337,9),(97338,7),(97339,9),(97340,5),(97341,6),(97342,4),(97343,6),(97344,2),(97345,9),(97346,8),(97347,7),(97348,9),(97349,4),(97350,6),(97351,5),(97352,1),(97353,8),(97354,3),(97355,2),(97356,8),(97357,2),(97358,3),(97359,8),(97360,2),(97361,6),(97362,6),(97363,8),(97364,8),(97365,9),(97366,4),(97367,1),(97368,1),(97369,8),(97370,4),(97371,1),(97372,7),(97373,5),(97374,7),(97375,6),(97376,5),(97377,8),(97378,8),(97379,1),(97380,3),(97381,2),(97382,9),(97383,7),(97384,6),(97385,3),(97386,2),(97387,8),(97388,8),(97389,8),(97390,6),(97391,4),(97392,7),(97393,9),(97394,7),(97395,9),(97396,2),(97397,1),(97398,6),(97399,5),(97400,6),(97401,9),(97402,8),(97403,1),(97404,3),(97405,1),(97406,7),(97407,6),(97408,1),(97409,9),(97410,7),(97411,5),(97412,8),(97413,3),(97414,2),(97415,4),(97416,1),(97417,1),(97418,2),(97419,8),(97420,5),(97421,3),(97422,5),(97423,3),(97424,7),(97425,7),(97426,1),(97427,4),(97428,9),(97429,5),(97430,5),(97431,7),(97432,1),(97433,7),(97434,2),(97435,5),(97436,4),(97437,8),(97438,5),(97439,9),(97440,3),(97441,4),(97442,5),(97443,2),(97444,7),(97445,3),(97446,7),(97447,2),(97448,4),(97449,6),(97450,1),(97451,5),(97452,3),(97453,3),(97454,9),(97455,1),(97456,4),(97457,2),(97458,7),(97459,7),(97460,4),(97461,4),(97462,1),(97463,1),(97464,1),(97465,7),(97466,4),(97467,3),(97468,4),(97469,4),(97470,8),(97471,6),(97472,5),(97473,1),(97474,7),(97475,1),(97476,8),(97477,6),(97478,7),(97479,7),(97480,2),(97481,4),(97482,1),(97483,2),(97484,1),(97485,6),(97486,2),(97487,9),(97488,6),(97489,8),(97490,5),(97491,5),(97492,7),(97493,1),(97494,5),(97495,8),(97496,7),(97497,9),(97498,8),(97499,9),(97500,3),(97501,5),(97502,5),(97503,1),(97504,7),(97505,5),(97506,6),(97507,1),(97508,8),(97509,5),(97510,7),(97511,4),(97512,3),(97513,8),(97514,9),(97515,8),(97516,7),(97517,5),(97518,1),(97519,1),(97520,8),(97521,1),(97522,6),(97523,3),(97524,9),(97525,2),(97526,7),(97527,4),(97528,1),(97529,4),(97530,7),(97531,9),(97532,3),(97533,3),(97534,9),(97535,6),(97536,1),(97537,2),(97538,6),(97539,2),(97540,1),(97541,5),(97542,6),(97543,7),(97544,3),(97545,6),(97546,4),(97547,8),(97548,2),(97549,5),(97550,9),(97551,1),(97552,1),(97553,8),(97554,7),(97555,6),(97556,1),(97557,7),(97558,8),(97559,2),(97560,3),(97561,2),(97562,3),(97563,1),(97564,2),(97565,2),(97566,7),(97567,7),(97568,8),(97569,7),(97570,8),(97571,3),(97572,1),(97573,4),(97574,7),(97575,2),(97576,4),(97577,1),(97578,6),(97579,2),(97580,4),(97581,4),(97582,4),(97583,7),(97584,9),(97585,1),(97586,4),(97587,6),(97588,2),(97589,6),(97590,1),(97591,1),(97592,3),(97593,4),(97594,5),(97595,7),(97596,5),(97597,9),(97598,7),(97599,7),(97600,3),(97601,8),(97602,8),(97603,2),(97604,1),(97605,2),(97606,4),(97607,2),(97608,7),(97609,9),(97610,3),(97611,1),(97612,8),(97613,3),(97614,4),(97615,8),(97616,1),(97617,6),(97618,7),(97619,6),(97620,5),(97621,2),(97622,2),(97623,8),(97624,6),(97625,1),(97626,3),(97627,6),(97628,4),(97629,8),(97630,5),(97631,9),(97632,7),(97633,9),(97634,1),(97635,1),(97636,6),(97637,2),(97638,1),(97639,3),(97640,5),(97641,1),(97642,6),(97643,5),(97644,6),(97645,4),(97646,3),(97647,1),(97648,2),(97649,9),(97650,3),(97651,8),(97652,4),(97653,2),(97654,8),(97655,7),(97656,1),(97657,6),(97658,2),(97659,7),(97660,6),(97661,1),(97662,5),(97663,9),(97664,8),(97665,7),(97666,5),(97667,8),(97668,4),(97669,9),(97670,6),(97671,4),(97672,2),(97673,1),(97674,3),(97675,4),(97676,3),(97677,4),(97678,1),(97679,4),(97680,2),(97681,4),(97682,9),(97683,1),(97684,1),(97685,6),(97686,5),(97687,1),(97688,8),(97689,6),(97690,8),(97691,2),(97692,5),(97693,5),(97694,5),(97695,6),(97696,3),(97697,8),(97698,6),(97699,8),(97700,1),(97701,7),(97702,6),(97703,3),(97704,1),(97705,7),(97706,5),(97707,8),(97708,6),(97709,8),(97710,7),(97711,6),(97712,1),(97713,1),(97714,7),(97715,3),(97716,1),(97717,9),(97718,4),(97719,1),(97720,5),(97721,9),(97722,5),(97723,3),(97724,5),(97725,5),(97726,9),(97727,5),(97728,9),(97729,2),(97730,4),(97731,6),(97732,3),(97733,8),(97734,5),(97735,4),(97736,5),(97737,3),(97738,5),(97739,6),(97740,3),(97741,4),(97742,3),(97743,1),(97744,7),(97745,9),(97746,2),(97747,1),(97748,7),(97749,2),(97750,1),(97751,3),(97752,8),(97753,1),(97754,2),(97755,4),(97756,4),(97757,2),(97758,9),(97759,4),(97760,7),(97761,9),(97762,5),(97763,7),(97764,5),(97765,4),(97766,7),(97767,5),(97768,7),(97769,6),(97770,2),(97771,3),(97772,7),(97773,7),(97774,5),(97775,2),(97776,4),(97777,3),(97778,1),(97779,7),(97780,7),(97781,2),(97782,3),(97783,8),(97784,5),(97785,5),(97786,1),(97787,7),(97788,4),(97789,6),(97790,4),(97791,1),(97792,5),(97793,7),(97794,7),(97795,5),(97796,1),(97797,9),(97798,3),(97799,2),(97800,2),(97801,6),(97802,2),(97803,1),(97804,9),(97805,4),(97806,3),(97807,4),(97808,5),(97809,5),(97810,6),(97811,3),(97812,3),(97813,5),(97814,9),(97815,3),(97816,1),(97817,4),(97818,2),(97819,6),(97820,2),(97821,4),(97822,3),(97823,5),(97824,9),(97825,6),(97826,2),(97827,5),(97828,1),(97829,6),(97830,1),(97831,5),(97832,7),(97833,8),(97834,8),(97835,3),(97836,5),(97837,3),(97838,5),(97839,8),(97840,9),(97841,5),(97842,2),(97843,8),(97844,6),(97845,5),(97846,5),(97847,2),(97848,1),(97849,9),(97850,4),(97851,9),(97852,9),(97853,3),(97854,2),(97855,8),(97856,6),(97857,4),(97858,1),(97859,8),(97860,8),(97861,2),(97862,3),(97863,7),(97864,3),(97865,5),(97866,3),(97867,5),(97868,3),(97869,1),(97870,6),(97871,1),(97872,5),(97873,3),(97874,8),(97875,2),(97876,5),(97877,2),(97878,1),(97879,7),(97880,8),(97881,9),(97882,1),(97883,1),(97884,3),(97885,5),(97886,2),(97887,5),(97888,2),(97889,8),(97890,5),(97891,2),(97892,4),(97893,6),(97894,9),(97895,4),(97896,3),(97897,2),(97898,3),(97899,8),(97900,7),(97901,1),(97902,1),(97903,2),(97904,9),(97905,7),(97906,5),(97907,4),(97908,9),(97909,2),(97910,4),(97911,9),(97912,3),(97913,3),(97914,7),(97915,6),(97916,7),(97917,7),(97918,1),(97919,2),(97920,2),(97921,8),(97922,5),(97923,7),(97924,1),(97925,7),(97926,1),(97927,3),(97928,1),(97929,6),(97930,1),(97931,2),(97932,7),(97933,3),(97934,6),(97935,5),(97936,3),(97937,9),(97938,8),(97939,8),(97940,6),(97941,5),(97942,2),(97943,6),(97944,2),(97945,5),(97946,7),(97947,7),(97948,9),(97949,1),(97950,1),(97951,5),(97952,4),(97953,6),(97954,2),(97955,5),(97956,1),(97957,2),(97958,8),(97959,3),(97960,4),(97961,6),(97962,5),(97963,2),(97964,5),(97965,5),(97966,7),(97967,3),(97968,2),(97969,6),(97970,9),(97971,6),(97972,6),(97973,6),(97974,9),(97975,3),(97976,6),(97977,7),(97978,3),(97979,7),(97980,9),(97981,6),(97982,6),(97983,8),(97984,3),(97985,6),(97986,4),(97987,9),(97988,8),(97989,3),(97990,6),(97991,2),(97992,1),(97993,4),(97994,3),(97995,2),(97996,3),(97997,8),(97998,4),(97999,6),(98000,7),(98001,5),(98002,3),(98003,9),(98004,8),(98005,2),(98006,2),(98007,3),(98008,4),(98009,1),(98010,2),(98011,6),(98012,6),(98013,4),(98014,6),(98015,6),(98016,7),(98017,5),(98018,6),(98019,1),(98020,1),(98021,1),(98022,1),(98023,5),(98024,1),(98025,1),(98026,8),(98027,6),(98028,4),(98029,7),(98030,4),(98031,1),(98032,6),(98033,3),(98034,7),(98035,5),(98036,8),(98037,4),(98038,3),(98039,4),(98040,7),(98041,4),(98042,5),(98043,6),(98044,4),(98045,9),(98046,7),(98047,5),(98048,3),(98049,2),(98050,9),(98051,9),(98052,4),(98053,9),(98054,5),(98055,6),(98056,3),(98057,9),(98058,5),(98059,6),(98060,9),(98061,5),(98062,4),(98063,2),(98064,2),(98065,2),(98066,1),(98067,2),(98068,2),(98069,4),(98070,4),(98071,5),(98072,9),(98073,6),(98074,7),(98075,9),(98076,6),(98077,5),(98078,2),(98079,9),(98080,4),(98081,8),(98082,5),(98083,2),(98084,4),(98085,9),(98086,1),(98087,9),(98088,5),(98089,5),(98090,1),(98091,3),(98092,9),(98093,8),(98094,5),(98095,8),(98096,8),(98097,1),(98098,6),(98099,8),(98100,4),(98101,9),(98102,9),(98103,4),(98104,1),(98105,9),(98106,5),(98107,2),(98108,6),(98109,3),(98110,5),(98111,2),(98112,4),(98113,4),(98114,3),(98115,7),(98116,8),(98117,6),(98118,6),(98119,6),(98120,7),(98121,1),(98122,7),(98123,1),(98124,4),(98125,5),(98126,2),(98127,6),(98128,2),(98129,5),(98130,8),(98131,3),(98132,5),(98133,2),(98134,9),(98135,9),(98136,5),(98137,2),(98138,9),(98139,9),(98140,2),(98141,8),(98142,2),(98143,4),(98144,8),(98145,2),(98146,5),(98147,6),(98148,6),(98149,7),(98150,2),(98151,3),(98152,2),(98153,5),(98154,2),(98155,4),(98156,3),(98157,8),(98158,9),(98159,8),(98160,5),(98161,4),(98162,4),(98163,1),(98164,3),(98165,6),(98166,4),(98167,9),(98168,6),(98169,3),(98170,4),(98171,7),(98172,1),(98173,1),(98174,9),(98175,1),(98176,2),(98177,2),(98178,6),(98179,1),(98180,5),(98181,9),(98182,7),(98183,2),(98184,5),(98185,9),(98186,6),(98187,4),(98188,9),(98189,7),(98190,5),(98191,6),(98192,1),(98193,1),(98194,1),(98195,4),(98196,9),(98197,6),(98198,2),(98199,3),(98200,4),(98201,5),(98202,2),(98203,1),(98204,3),(98205,9),(98206,8),(98207,8),(98208,2),(98209,3),(98210,8),(98211,8),(98212,9),(98213,6),(98214,9),(98215,2),(98216,3),(98217,3),(98218,7),(98219,2),(98220,4),(98221,1),(98222,2),(98223,1),(98224,2),(98225,6),(98226,3),(98227,9),(98228,8),(98229,4),(98230,3),(98231,9),(98232,4),(98233,7),(98234,2),(98235,8),(98236,5),(98237,3),(98238,2),(98239,8),(98240,8),(98241,1),(98242,2),(98243,8),(98244,9),(98245,5),(98246,9),(98247,3),(98248,2),(98249,7),(98250,5),(98251,2),(98252,2),(98253,1),(98254,3),(98255,6),(98256,8),(98257,9),(98258,7),(98259,4),(98260,2),(98261,8),(98262,8),(98263,6),(98264,1),(98265,8),(98266,5),(98267,1),(98268,3),(98269,9),(98270,4),(98271,2),(98272,7),(98273,9),(98274,2),(98275,4),(98276,6),(98277,4),(98278,7),(98279,8),(98280,8),(98281,6),(98282,9),(98283,3),(98284,6),(98285,8),(98286,1),(98287,5),(98288,3),(98289,2),(98290,6),(98291,3),(98292,6),(98293,4),(98294,2),(98295,8),(98296,1),(98297,2),(98298,4),(98299,1),(98300,8),(98301,5),(98302,7),(98303,4),(98304,6),(98305,4),(98306,4),(98307,3),(98308,2),(98309,4),(98310,4),(98311,1),(98312,4),(98313,1),(98314,3),(98315,8),(98316,5),(98317,5),(98318,4),(98319,9),(98320,8),(98321,9),(98322,9),(98323,1),(98324,3),(98325,8),(98326,1),(98327,3),(98328,7),(98329,6),(98330,2),(98331,1),(98332,5),(98333,6),(98334,7),(98335,8),(98336,2),(98337,8),(98338,5),(98339,6),(98340,4),(98341,8),(98342,3),(98343,9),(98344,3),(98345,6),(98346,8),(98347,5),(98348,9),(98349,2),(98350,1),(98351,5),(98352,8),(98353,2),(98354,2),(98355,2),(98356,8),(98357,1),(98358,6),(98359,6),(98360,4),(98361,7),(98362,5),(98363,4),(98364,8),(98365,1),(98366,7),(98367,8),(98368,8),(98369,9),(98370,9),(98371,1),(98372,1),(98373,3),(98374,4),(98375,2),(98376,6),(98377,2),(98378,6),(98379,6),(98380,8),(98381,3),(98382,8),(98383,3),(98384,6),(98385,1),(98386,4),(98387,1),(98388,2),(98389,3),(98390,5),(98391,5),(98392,3),(98393,4),(98394,5),(98395,1),(98396,9),(98397,8),(98398,1),(98399,2),(98400,2),(98401,2),(98402,7),(98403,6),(98404,4),(98405,9),(98406,6),(98407,3),(98408,3),(98409,7),(98410,1),(98411,1),(98412,2),(98413,2),(98414,6),(98415,4),(98416,8),(98417,4),(98418,1),(98419,4),(98420,6),(98421,6),(98422,6),(98423,7),(98424,7),(98425,3),(98426,4),(98427,3),(98428,7),(98429,8),(98430,4),(98431,9),(98432,6),(98433,6),(98434,9),(98435,4),(98436,7),(98437,3),(98438,4),(98439,1),(98440,6),(98441,9),(98442,9),(98443,5),(98444,1),(98445,4),(98446,1),(98447,4),(98448,5),(98449,6),(98450,5),(98451,2),(98452,2),(98453,4),(98454,1),(98455,3),(98456,1),(98457,1),(98458,1),(98459,5),(98460,7),(98461,4),(98462,9),(98463,3),(98464,6),(98465,5),(98466,7),(98467,4),(98468,3),(98469,3),(98470,4),(98471,9),(98472,1),(98473,9),(98474,7),(98475,1),(98476,2),(98477,2),(98478,8),(98479,8),(98480,9),(98481,3),(98482,3),(98483,1),(98484,6),(98485,1),(98486,4),(98487,6),(98488,6),(98489,4),(98490,4),(98491,9),(98492,1),(98493,8),(98494,7),(98495,5),(98496,4),(98497,9),(98498,6),(98499,2),(98500,4),(98501,4),(98502,3),(98503,7),(98504,6),(98505,8),(98506,3),(98507,7),(98508,8),(98509,5),(98510,3),(98511,1),(98512,4),(98513,3),(98514,9),(98515,7),(98516,4),(98517,6),(98518,9),(98519,1),(98520,3),(98521,4),(98522,4),(98523,7),(98524,7),(98525,8),(98526,1),(98527,7),(98528,6),(98529,6),(98530,7),(98531,7),(98532,5),(98533,8),(98534,4),(98535,9),(98536,8),(98537,6),(98538,4),(98539,8),(98540,8),(98541,3),(98542,2),(98543,3),(98544,5),(98545,7),(98546,4),(98547,7),(98548,5),(98549,6),(98550,5),(98551,8),(98552,4),(98553,4),(98554,5),(98555,3),(98556,2),(98557,3),(98558,2),(98559,6),(98560,2),(98561,3),(98562,5),(98563,9),(98564,9),(98565,9),(98566,7),(98567,9),(98568,1),(98569,7),(98570,6),(98571,8),(98572,6),(98573,9),(98574,8),(98575,5),(98576,5),(98577,5),(98578,4),(98579,3),(98580,2),(98581,5),(98582,5),(98583,8),(98584,2),(98585,3),(98586,3),(98587,2),(98588,3),(98589,2),(98590,2),(98591,2),(98592,3),(98593,1),(98594,7),(98595,5),(98596,4),(98597,7),(98598,8),(98599,6),(98600,5),(98601,4),(98602,6),(98603,8),(98604,8),(98605,7),(98606,1),(98607,6),(98608,2),(98609,3),(98610,3),(98611,9),(98612,6),(98613,1),(98614,8),(98615,5),(98616,1),(98617,4),(98618,4),(98619,6),(98620,4),(98621,3),(98622,1),(98623,9),(98624,2),(98625,8),(98626,6),(98627,1),(98628,4),(98629,1),(98630,2),(98631,8),(98632,4),(98633,6),(98634,2),(98635,2),(98636,6),(98637,6),(98638,7),(98639,4),(98640,1),(98641,1),(98642,7),(98643,1),(98644,9),(98645,9),(98646,3),(98647,7),(98648,4),(98649,1),(98650,6),(98651,4),(98652,4),(98653,5),(98654,6),(98655,9),(98656,4),(98657,4),(98658,9),(98659,5),(98660,1),(98661,7),(98662,2),(98663,5),(98664,6),(98665,4),(98666,3),(98667,2),(98668,1),(98669,6),(98670,6),(98671,8),(98672,9),(98673,2),(98674,4),(98675,5),(98676,8),(98677,2),(98678,8),(98679,3),(98680,5),(98681,5),(98682,5),(98683,7),(98684,5),(98685,4),(98686,3),(98687,7),(98688,7),(98689,6),(98690,1),(98691,3),(98692,8),(98693,7),(98694,9),(98695,1),(98696,5),(98697,6),(98698,9),(98699,2),(98700,1),(98701,3),(98702,1),(98703,7),(98704,2),(98705,1),(98706,3),(98707,3),(98708,8),(98709,1),(98710,7),(98711,5),(98712,6),(98713,9),(98714,6),(98715,7),(98716,4),(98717,7),(98718,5),(98719,9),(98720,8),(98721,9),(98722,1),(98723,7),(98724,3),(98725,9),(98726,9),(98727,3),(98728,3),(98729,9),(98730,8),(98731,2),(98732,9),(98733,1),(98734,6),(98735,1),(98736,6),(98737,3),(98738,5),(98739,8),(98740,2),(98741,7),(98742,3),(98743,2),(98744,6),(98745,8),(98746,5),(98747,7),(98748,9),(98749,7),(98750,4),(98751,3),(98752,7),(98753,3),(98754,6),(98755,5),(98756,6),(98757,4),(98758,8),(98759,7),(98760,1),(98761,7),(98762,2),(98763,3),(98764,1),(98765,7),(98766,8),(98767,6),(98768,4),(98769,6),(98770,5),(98771,6),(98772,5),(98773,2),(98774,1),(98775,3),(98776,2),(98777,7),(98778,9),(98779,1),(98780,2),(98781,4),(98782,6),(98783,3),(98784,2),(98785,6),(98786,9),(98787,4),(98788,7),(98789,7),(98790,2),(98791,5),(98792,5),(98793,1),(98794,8),(98795,7),(98796,1),(98797,8),(98798,9),(98799,8),(98800,8),(98801,8),(98802,9),(98803,7),(98804,3),(98805,4),(98806,2),(98807,8),(98808,7),(98809,4),(98810,4),(98811,2),(98812,9),(98813,6),(98814,3),(98815,9),(98816,8),(98817,8),(98818,2),(98819,1),(98820,9),(98821,9),(98822,6),(98823,5),(98824,4),(98825,7),(98826,1),(98827,6),(98828,7),(98829,4),(98830,1),(98831,6),(98832,6),(98833,4),(98834,3),(98835,5),(98836,4),(98837,9),(98838,1),(98839,9),(98840,6),(98841,9),(98842,4),(98843,8),(98844,2),(98845,5),(98846,2),(98847,7),(98848,4),(98849,3),(98850,7),(98851,5),(98852,7),(98853,3),(98854,9),(98855,8),(98856,9),(98857,8),(98858,7),(98859,8),(98860,2),(98861,5),(98862,2),(98863,9),(98864,3),(98865,3),(98866,2),(98867,6),(98868,5),(98869,9),(98870,8),(98871,3),(98872,9),(98873,1),(98874,7),(98875,7),(98876,4),(98877,8),(98878,8),(98879,4),(98880,8),(98881,3),(98882,5),(98883,9),(98884,2),(98885,9),(98886,7),(98887,1),(98888,2),(98889,8),(98890,4),(98891,4),(98892,2),(98893,7),(98894,2),(98895,2),(98896,4),(98897,1),(98898,2),(98899,7),(98900,7),(98901,4),(98902,3),(98903,2),(98904,6),(98905,9),(98906,4),(98907,3),(98908,9),(98909,6),(98910,3),(98911,8),(98912,8),(98913,7),(98914,3),(98915,6),(98916,5),(98917,8),(98918,1),(98919,6),(98920,9),(98921,1),(98922,4),(98923,9),(98924,4),(98925,1),(98926,5),(98927,5),(98928,9),(98929,1),(98930,9),(98931,3),(98932,2),(98933,7),(98934,1),(98935,2),(98936,7),(98937,8),(98938,1),(98939,8),(98940,5),(98941,2),(98942,9),(98943,4),(98944,4),(98945,3),(98946,2),(98947,3),(98948,9),(98949,5),(98950,3),(98951,7),(98952,7),(98953,8),(98954,8),(98955,1),(98956,4),(98957,7),(98958,3),(98959,8),(98960,2),(98961,6),(98962,2),(98963,1),(98964,2),(98965,9),(98966,8),(98967,4),(98968,7),(98969,7),(98970,6),(98971,1),(98972,7),(98973,6),(98974,7),(98975,8),(98976,1),(98977,3),(98978,7),(98979,8),(98980,2),(98981,1),(98982,6),(98983,9),(98984,9),(98985,7),(98986,7),(98987,4),(98988,3),(98989,7),(98990,9),(98991,6),(98992,4),(98993,3),(98994,8),(98995,9),(98996,5),(98997,1),(98998,8),(98999,2),(99000,7),(99001,2),(99002,5),(99003,5),(99004,9),(99005,4),(99006,3),(99007,2),(99008,8),(99009,1),(99010,9),(99011,2),(99012,6),(99013,7),(99014,9),(99015,3),(99016,3),(99017,7),(99018,6),(99019,5),(99020,2),(99021,2),(99022,4),(99023,1),(99024,5),(99025,3),(99026,9),(99027,4),(99028,7),(99029,6),(99030,4),(99031,4),(99032,1),(99033,3),(99034,6),(99035,4),(99036,1),(99037,5),(99038,3),(99039,9),(99040,7),(99041,6),(99042,4),(99043,3),(99044,7),(99045,4),(99046,4),(99047,9),(99048,3),(99049,7),(99050,1),(99051,5),(99052,5),(99053,1),(99054,8),(99055,2),(99056,5),(99057,1),(99058,8),(99059,2),(99060,5),(99061,3),(99062,8),(99063,1),(99064,7),(99065,7),(99066,8),(99067,5),(99068,7),(99069,9),(99070,3),(99071,3),(99072,5),(99073,2),(99074,5),(99075,1),(99076,5),(99077,8),(99078,5),(99079,1),(99080,7),(99081,1),(99082,5),(99083,7),(99084,3),(99085,5),(99086,4),(99087,2),(99088,9),(99089,7),(99090,2),(99091,3),(99092,1),(99093,7),(99094,9),(99095,1),(99096,6),(99097,9),(99098,8),(99099,7),(99100,2),(99101,6),(99102,4),(99103,9),(99104,3),(99105,9),(99106,6),(99107,2),(99108,5),(99109,1),(99110,8),(99111,1),(99112,8),(99113,3),(99114,4),(99115,7),(99116,6),(99117,1),(99118,2),(99119,6),(99120,6),(99121,8),(99122,5),(99123,5),(99124,5),(99125,4),(99126,5),(99127,3),(99128,7),(99129,8),(99130,9),(99131,1),(99132,1),(99133,1),(99134,1),(99135,6),(99136,2),(99137,8),(99138,2),(99139,1),(99140,3),(99141,1),(99142,6),(99143,3),(99144,7),(99145,2),(99146,9),(99147,3),(99148,3),(99149,8),(99150,2),(99151,6),(99152,1),(99153,7),(99154,1),(99155,5),(99156,1),(99157,9),(99158,9),(99159,4),(99160,6),(99161,3),(99162,9),(99163,4),(99164,1),(99165,8),(99166,4),(99167,6),(99168,1),(99169,1),(99170,3),(99171,5),(99172,3),(99173,1),(99174,9),(99175,4),(99176,9),(99177,5),(99178,8),(99179,3),(99180,7),(99181,9),(99182,3),(99183,8),(99184,9),(99185,7),(99186,2),(99187,9),(99188,1),(99189,7),(99190,7),(99191,8),(99192,5),(99193,9),(99194,9),(99195,1),(99196,2),(99197,9),(99198,4),(99199,3),(99200,6),(99201,7),(99202,1),(99203,4),(99204,5),(99205,6),(99206,3),(99207,8),(99208,8),(99209,8),(99210,1),(99211,5),(99212,3),(99213,8),(99214,3),(99215,2),(99216,4),(99217,7),(99218,2),(99219,1),(99220,8),(99221,7),(99222,5),(99223,9),(99224,7),(99225,3),(99226,3),(99227,8),(99228,4),(99229,3),(99230,4),(99231,2),(99232,3),(99233,9),(99234,2),(99235,8),(99236,9),(99237,4),(99238,5),(99239,4),(99240,6),(99241,4),(99242,5),(99243,3),(99244,1),(99245,5),(99246,1),(99247,9),(99248,7),(99249,5),(99250,7),(99251,2),(99252,3),(99253,8),(99254,8),(99255,5),(99256,9),(99257,1),(99258,3),(99259,8),(99260,3),(99261,1),(99262,9),(99263,6),(99264,2),(99265,8),(99266,2),(99267,4),(99268,5),(99269,9),(99270,2),(99271,8),(99272,8),(99273,9),(99274,2),(99275,1),(99276,2),(99277,8),(99278,1),(99279,6),(99280,5),(99281,3),(99282,5),(99283,4),(99284,2),(99285,4),(99286,7),(99287,4),(99288,5),(99289,8),(99290,1),(99291,3),(99292,2),(99293,9),(99294,8),(99295,9),(99296,7),(99297,9),(99298,9),(99299,9),(99300,5),(99301,5),(99302,1),(99303,3),(99304,5),(99305,1),(99306,7),(99307,4),(99308,4),(99309,7),(99310,2),(99311,6),(99312,3),(99313,1),(99314,3),(99315,8),(99316,6),(99317,9),(99318,9),(99319,9),(99320,2),(99321,4),(99322,2),(99323,6),(99324,5),(99325,5),(99326,4),(99327,1),(99328,8),(99329,8),(99330,2),(99331,7),(99332,8),(99333,9),(99334,3),(99335,3),(99336,5),(99337,1),(99338,2),(99339,1),(99340,5),(99341,2),(99342,1),(99343,2),(99344,3),(99345,9),(99346,8),(99347,1),(99348,3),(99349,2),(99350,2),(99351,6),(99352,5),(99353,6),(99354,5),(99355,1),(99356,9),(99357,8),(99358,9),(99359,3),(99360,6),(99361,5),(99362,5),(99363,4),(99364,8),(99365,9),(99366,4),(99367,4),(99368,6),(99369,6),(99370,3),(99371,9),(99372,3),(99373,8),(99374,2),(99375,2),(99376,2),(99377,4),(99378,1),(99379,5),(99380,7),(99381,1),(99382,2),(99383,8),(99384,3),(99385,6),(99386,9),(99387,2),(99388,5),(99389,9),(99390,2),(99391,2),(99392,4),(99393,7),(99394,1),(99395,2),(99396,1),(99397,1),(99398,4),(99399,4),(99400,3),(99401,8),(99402,9),(99403,1),(99404,5),(99405,6),(99406,7),(99407,8),(99408,6),(99409,7),(99410,9),(99411,3),(99412,5),(99413,7),(99414,8),(99415,6),(99416,2),(99417,8),(99418,2),(99419,3),(99420,4),(99421,9),(99422,5),(99423,4),(99424,6),(99425,1),(99426,5),(99427,4),(99428,9),(99429,4),(99430,7),(99431,8),(99432,3),(99433,7),(99434,4),(99435,4),(99436,6),(99437,3),(99438,2),(99439,8),(99440,8),(99441,4),(99442,6),(99443,7),(99444,1),(99445,7),(99446,1),(99447,1),(99448,3),(99449,2),(99450,2),(99451,2),(99452,6),(99453,8),(99454,8),(99455,5),(99456,9),(99457,1),(99458,5),(99459,1),(99460,3),(99461,5),(99462,9),(99463,1),(99464,5),(99465,5),(99466,2),(99467,9),(99468,6),(99469,8),(99470,4),(99471,6),(99472,3),(99473,2),(99474,4),(99475,2),(99476,6),(99477,5),(99478,6),(99479,9),(99480,6),(99481,7),(99482,5),(99483,2),(99484,7),(99485,2),(99486,4),(99487,5),(99488,8),(99489,1),(99490,6),(99491,9),(99492,6),(99493,9),(99494,5),(99495,1),(99496,1),(99497,8),(99498,2),(99499,6),(99500,6),(99501,5),(99502,2),(99503,7),(99504,3),(99505,8),(99506,2),(99507,9),(99508,5),(99509,7),(99510,8),(99511,9),(99512,8),(99513,9),(99514,6),(99515,3),(99516,6),(99517,3),(99518,2),(99519,5),(99520,5),(99521,3),(99522,3),(99523,8),(99524,6),(99525,1),(99526,6),(99527,5),(99528,2),(99529,9),(99530,2),(99531,6),(99532,3),(99533,4),(99534,1),(99535,3),(99536,6),(99537,4),(99538,3),(99539,6),(99540,9),(99541,2),(99542,2),(99543,3),(99544,1),(99545,9),(99546,2),(99547,3),(99548,6),(99549,9),(99550,8),(99551,3),(99552,6),(99553,9),(99554,4),(99555,3),(99556,1),(99557,6),(99558,6),(99559,7),(99560,4),(99561,4),(99562,2),(99563,6),(99564,4),(99565,4),(99566,5),(99567,7),(99568,4),(99569,1),(99570,7),(99571,3),(99572,3),(99573,4),(99574,7),(99575,3),(99576,7),(99577,2),(99578,7),(99579,2),(99580,4),(99581,6),(99582,8),(99583,8),(99584,4),(99585,7),(99586,1),(99587,6),(99588,4),(99589,9),(99590,4),(99591,7),(99592,2),(99593,9),(99594,8),(99595,8),(99596,8),(99597,4),(99598,9),(99599,7),(99600,1),(99601,5),(99602,3),(99603,5),(99604,7),(99605,5),(99606,9),(99607,9),(99608,7),(99609,2),(99610,6),(99611,1),(99612,2),(99613,4),(99614,2),(99615,7),(99616,4),(99617,7),(99618,5),(99619,8),(99620,3),(99621,4),(99622,4),(99623,3),(99624,6),(99625,8),(99626,9),(99627,9),(99628,1),(99629,5),(99630,4),(99631,8),(99632,9),(99633,6),(99634,4),(99635,2),(99636,4),(99637,7),(99638,7),(99639,4),(99640,2),(99641,3),(99642,7),(99643,6),(99644,2),(99645,6),(99646,9),(99647,3),(99648,3),(99649,3),(99650,1),(99651,1),(99652,1),(99653,2),(99654,1),(99655,4),(99656,8),(99657,6),(99658,2),(99659,5),(99660,8),(99661,8),(99662,2),(99663,8),(99664,5),(99665,7),(99666,5),(99667,9),(99668,2),(99669,2),(99670,7),(99671,3),(99672,4),(99673,6),(99674,1),(99675,9),(99676,8),(99677,5),(99678,3),(99679,6),(99680,4),(99681,9),(99682,7),(99683,4),(99684,5),(99685,6),(99686,1),(99687,5),(99688,4),(99689,5),(99690,8),(99691,6),(99692,8),(99693,1),(99694,9),(99695,5),(99696,5),(99697,3),(99698,8),(99699,1),(99700,8),(99701,4),(99702,1),(99703,7),(99704,2),(99705,4),(99706,6),(99707,3),(99708,4),(99709,1),(99710,1),(99711,8),(99712,6),(99713,4),(99714,7),(99715,7),(99716,7),(99717,1),(99718,4),(99719,4),(99720,1),(99721,7),(99722,5),(99723,2),(99724,4),(99725,6),(99726,8),(99727,8),(99728,2),(99729,6),(99730,3),(99731,1),(99732,1),(99733,1),(99734,1),(99735,3),(99736,1),(99737,1),(99738,1),(99739,1),(99740,1),(99741,3),(99742,3),(99743,4),(99744,6),(99745,7),(99746,9),(99747,4),(99748,4),(99749,4),(99750,7),(99751,8),(99752,5),(99753,3),(99754,3),(99755,6),(99756,5),(99757,4),(99758,7),(99759,7),(99760,1),(99761,2),(99762,1),(99763,8),(99764,6),(99765,5),(99766,6),(99767,3),(99768,7),(99769,9),(99770,6),(99771,3),(99772,8),(99773,2),(99774,5),(99775,9),(99776,1),(99777,4),(99778,1),(99779,4),(99780,5),(99781,4),(99782,1),(99783,3),(99784,5),(99785,7),(99786,9),(99787,9),(99788,4),(99789,6),(99790,8),(99791,1),(99792,2),(99793,8),(99794,3),(99795,8),(99796,5),(99797,5),(99798,9),(99799,3),(99800,2),(99801,7),(99802,3),(99803,9),(99804,9),(99805,8),(99806,2),(99807,3),(99808,1),(99809,9),(99810,4),(99811,3),(99812,1),(99813,3),(99814,8),(99815,9),(99816,4),(99817,7),(99818,9),(99819,1),(99820,7),(99821,3),(99822,6),(99823,7),(99824,5),(99825,4),(99826,2),(99827,7),(99828,9),(99829,1),(99830,7),(99831,3),(99832,2),(99833,8),(99834,2),(99835,6),(99836,1),(99837,4),(99838,4),(99839,5),(99840,3),(99841,2),(99842,8),(99843,3),(99844,9),(99845,8),(99846,7),(99847,6),(99848,2),(99849,3),(99850,7),(99851,7),(99852,7),(99853,1),(99854,1),(99855,1),(99856,4),(99857,4),(99858,9),(99859,5),(99860,8),(99861,5),(99862,2),(99863,4),(99864,4),(99865,2),(99866,4),(99867,4),(99868,8),(99869,3),(99870,4),(99871,3),(99872,5),(99873,9),(99874,3),(99875,2),(99876,7),(99877,1),(99878,9),(99879,8),(99880,9),(99881,9),(99882,8),(99883,2),(99884,3),(99885,7),(99886,3),(99887,7),(99888,9),(99889,8),(99890,5),(99891,7),(99892,1),(99893,4),(99894,5),(99895,8),(99896,6),(99897,7),(99898,5),(99899,1),(99900,8),(99901,2),(99902,8),(99903,5),(99904,2),(99905,8),(99906,5),(99907,7),(99908,5),(99909,2),(99910,2),(99911,1),(99912,5),(99913,3),(99914,1),(99915,7),(99916,1),(99917,6),(99918,6),(99919,9),(99920,2),(99921,2),(99922,7),(99923,7),(99924,5),(99925,2),(99926,7),(99927,9),(99928,6),(99929,1),(99930,6),(99931,5),(99932,3),(99933,5),(99934,9),(99935,5),(99936,1),(99937,7),(99938,2),(99939,9),(99940,7),(99941,5),(99942,2),(99943,1),(99944,6),(99945,8),(99946,8),(99947,5),(99948,3),(99949,2),(99950,6),(99951,1),(99952,8),(99953,2),(99954,3),(99955,5),(99956,5),(99957,6),(99958,8),(99959,1),(99960,8),(99961,8),(99962,1),(99963,2),(99964,1),(99965,7),(99966,6),(99967,4),(99968,6),(99969,2),(99970,1),(99971,7),(99972,3),(99973,6),(99974,7),(99975,4),(99976,9),(99977,1),(99978,7),(99979,2),(99980,8),(99981,6),(99982,9),(99983,4),(99984,5),(99985,8),(99986,4),(99987,5),(99988,3),(99989,6),(99990,7),(99991,5),(99992,9),(99993,5),(99994,1),(99995,2),(99996,5),(99997,6),(99998,5),(99999,3)]
[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]
[3999799888,39993998960,399899991200,3998599936000,79963999360000,499725001000000,3997400056000000,89932502520000000,699405030800000000,6993350434000000000,1997900038132289668,8989644706171901352,5992458862442129376,998580255479771078,2993553611587353822,4957305337525757420,1856931467816903416,2096325632714263622,195637461544,2934268034880,14669870762400,293368027596000,4400079607980000,19553950270400000,439919802252000000,4398757243020000000,897615578674181128,7978003143390043136,7977178966022930944,4985083250677376470,996608954819270314,5960590633028620488,6737937323018000372,5238398205876461264,1704102570730297608,4882612745713862880,16745676366328,95679982343120,1913407712843200,19132157826656000,95651192816480000,1434623950376400000,1996482245187375540,59738108222921088,696874658709044480,5972611910434166400,4975924260671517790,3974318058188663984,6848987640996187876,5794697778798788678,2859195187835417772,768026699277849024,4625606069162386120,596815108559795356,1053073431660222,1169964071147480,23396931078287200,818810327323954000,701832502191944968,760351454786679576,645075093119975392,3895841264447176576,6260076595889581192,6949849859093132992,8868346141046239476,1823278077250306468,525853029766616274,3037650708191981056,1923841630702979352,3176822407178685552,2264166251113264736,2782283699452398960,34338217986777768,171673820780717220,4577508052624897600,759031055665323480,643056101560266224,952756188523393408,3178708127273221472,19040464984302976,761541950494858240,951831628941289600,1183094304704629972,1913182590016584480,3204679304369535720,3679756645435627968,633802828172990408,1169532768828726552,7396612317178153888,975936995115331542,1959448074916726366,3268851490317038976,1961897691029405696,941615215218969128,5217562607583236848,2598480674524989660,733923598634294100,2328232410665019040,695356792513969768,89791583136325248,1346737979498130720,1587698775573489384,5331014994883395104,4350796284782627472,1618348322157024260,535973840562080956,3504381469269395320,499351783155182448,2496507074796959520,2041775224158141640,254579459795277968,567812926758935304,2583758708856638544,3511785347969654080,411681128532137048,284449416127651152,2031576471128811600,548438327639838080,108601906027569982,195690320429413992,6848469688824156120,7134060671060399664,241114184794478214,2143020753484141440,3516872167962368960,724642700577795252,1321499128721563932,1594205035762693536,605745386164693328,604985989673175642,1344277461634317560,3198017810363458048,500481207857243360,70967230551430010,993440800955991220,1730357365555429104,2659871478324261656,1681251131061186244,1548157174528487508,688964656183634280,1621885844774628160,2000835350992435762,886506538965858528,1957608182185378112,6418391049482960828,2092734641238467758,232428766462887862,2324052478771147040,1821114519635525480,2746573797704286472,955903763269173056,694213697869433308,48021600847752588,2400836967873680700,6903139207233764992,3009028170868307712,3155936971644461120,1216758122241231912,593746200870066440,813186831576473424,453667730105554384,648031104263322640,2884981080921884620,4254970039423818400,1921384469403931824,3018610068755142456,227236842602585660,458373075255175212,2178308050535455888,529824559671034890,2296879443128072580,1758212245098673072,5567592024783026112,2171291945319342490,1235465402112471372,1127263414318239744,5377204032292909272,120564312141101026,1563372848938711594,537997619689164544,5080250421021192144,1150751293860094962,4450492760897018710,259717472266134352,2596911132946316960,2410850152336189424,1105640138814413216,2403748432813636464,486591685526014848,6487230410178813120,780973396826885184,5770862981344389096,2106786315463856416,1451974971969852120,2063415892016427174,13936895458742272,1114838368529979520,2065586967157734770,1469976589316027436,1256162491991579688,415604083982959116,708168393545004444,1602957659342543472,264663721437972864,1764245444330746880,24502668385188370,343002479724108260,4409583464005952400,27645260058517140,92141495304264900,1228428319133652000,1206668633189140944,1447245626666628896,681659309039041186,1888647280982006272,3179039033111819020,3896399902122976256,3827260378413248224,1526795362829046596,7078614371711866728,322701620310585344,1613343850151249440,1095759591701182344,479373533136835624,882845705146814304,3526429936155493528,450712817361531270,4199370476759141632,3264007303245732120,2779989624952161672,771710019390279074,250853992162448584,1941366905186552508,1639379381025461408,2682552893059480336,902311544335675208,703627758610169424,1570296083338443072,164100622066354624,205104865490846240,395295602103556128,110069453536999038,122286921620056340,988140943554617408,1556642674437710496,1864370542876789500,722940214730608344,2495564778327040572,516006732640202376,2555817250774594590,6226372012619163944,718142316358245168,1997711768148084576,1620148259728524864,6756677816376458988,3425233082934702860,115425631497830416,865603850699548740,4683089774175041420,3589003517869305984,547818516770288384,3163904457229413136,355206485113370136,2959751677949480400,617432046732714048,6173689667117839680,5414259562752458964,1314750295573095080,5462301920943977472,91928037069225732,612790942498942480,4471176589435092896,3621391183329820300,865936910261226748,2632443398210413224,4471681864146287616,635371085350279440,778648765681138086,1730153622161263240,7855726472609242032,8563165587359877312,2298876305635563834,5155971288591935628,6548507533073287808,3293995787828107264,230947423595711384,3297363833464107516,749364705064040492,2776990150967050256,431484531284523906,3269701104527664002,3933917703615269440,903109727016008928,65232754340492324,652260739270607320,1746788930100502340,2327625422101683184,2900325181026027270,7476867894022824304,4910961938528986432,1271327128805534464,268169504058206366,5192160824802331296,1885253410412165172,1397033268802641168,3112508000113491616,24920975075260096,498368404252579840,4977866147144846256,3423332110025298250,438461903726271474,3131549560144990200,3594967704096979392,3091278352259181040,1480116716730302384,6354109093141820864,582660864543434688,42416289535229024,424119371328877120,1590284430680685600,3681124639965982240,1458240324964959496,1030950645539836476,315450918228035200,1507316979097471728,3460951070378450832,6512636198864209050,1193191004097115272,808974972020459760,3253126120457189830,6329058389689454784,525691271070621968,5555722111329762304,1236275244132290138,3996320801308848930,1815240021995303176,5940064096494498936,5608467219778439828,281156049623292696,7031528154988915456,563480338513971984,7512298786507761440,5572819581034704688,614797226701381332,588880175374658960,1272419282042309556,189540609787383544,1859680812115362768,1830014077349937024,1233546446067202464,1318312456131110286,4590681008358262460,496549139643032876,423317100462363270,3123652914602760442,2414386318065078016,1490892376128483552,5002283366173079532,4416767472949060500,3056333369534668060,2620461560045009408,383297658926076986,2822813082379776246,734368835165739208,2985760309598489360,189404073995882416,930361315881503862,632189312111861676,1624581329244851376,4191463751531174930,834659203863194944,1123198813822560608,641515614909059384,1913273982467121936,600781117436614036,1853167340684836288,2347421254311977904,436767798307540672,2495558616369835520,1395267379745240208,6416260330246520832,2588271741254627968,2095902458127648492,4251934669456071052,2427030213212113408,743394838641305690,4726232043589614438,2219131632018308800,1777804673089684464,632775130863109584,1241344125939290252,3960543452876818848,2782666850055799280,6085879775691894320,881624929190955202,679525073201108896,1476260089935924384,5261457431068537744,2442869282659705296,460379799933176928,3814404312428354320,3631768624421525416,1757102161741639064,4424402474038036224,1462727096527241840,1191157459903244004,594241113129735456,494135067501493184,3705629880293646240,420105257798947396,1456576991607728256,5348056015251268872,4634244938713762240,5743283938421553342,628435827381448696,3191835052318737936,3159345098786617080,945817960539338740,7162400171746719264,1640200905375532320,405681949139120808,2018601739284092172,326801712488269668,2365145185981485816,442319489429769056,148053215922082486,522846992127884502,1763059499176759840,4622863717067107584,69149042396657352,2419965824011522920,585627443897559756,342136799924558832,183499953381961862,3512282609111651704,1020239906567535264,2231049409115214456,2222912982873265854,2143638563959095882,3157135123534847364,6166345066872434856,158469958515583274,5657305589768051406,4951470094694712288,2166975537702508320,3197781648129247452,1654009959119767950,5148804718541435140,2668857821754766096,7519522054170378368,802051094309050874,2275488973027439616,2781671733879661896,4065457095390237108,734102536074862256,1835065866969377840,1166703303686134936,636931643770819104,214164674775429924,232902163900735952,1892050837223374224,193934490863086064,124862981178568752,2184875236652456880,778886811603020484,6198177165077877408,211174896651017334,613777523596904064,972814980583550608,2617925245563060636,2200279763728646736,4408597786153774440,2028260000888782884,90044666532559214,3601412252821049680,3856589295572939976,3794764645219057664,6531354606378709632,4548755256945410628,7316088504490557856,1723595350063815732,64458657953460784,1611298823335349200,3299500354041761184,6483007471251740224,489430660850636388,1086912210763467760,3663101188171188036,1320672002933694040,6646409220353989428,725796456891576182,5396113506187657656,1734613612054535424,228246729998374356,3423344456347813620,3765803716143168,10758318671880960,322715945322489600,2151215541117312000,1877943704806075440,557957344679814976,5799393093736692310,1367928316723712664,1137626588885137464,6622295569933065932,2736260058059989302,1720372513632299994,184660356976493920,1107846639325896960,844508424486472798,6804152055026249504,2734230939906010608,572038977187627956,184178537855186784,2104678033992199680,5131991787189495424,4832343506123471688,2367028532770816122,5130437594383732008,6211735144238206548,1054645643400409648,3700475327708663320,2292051965202068874,335900976727879776,3918435647686132160,3434200713881778120,111921567526746276,1119098812943076720,7719869805697312740,253820998946613770,3553122855268348180,3057275386047605040,4444137637915976896,3279674842546901880,1870935415623183084,2221517355369413344,4100119995060583900,5643647709152939388,2365698208312002768,471162262983808032,926161654548361984,5074508256460443648,3553101119855589568,1104947173884729084,4226163720537462740,2656389500654181684,2057207218611525708,2366683544459689088,973539971327268608,1628674410565870956,702081601355506750,2424015237979697544,2334435578787077064,4925432414710858428,2107967556494739310,872919266646322528,2927504039588269440,561091425881427252,8330823487950984558,2268702759541719012,37188020409045240,148736505159399120,1487209289976818400,827495083297048304,3615674991841034640,1248408242718362284,1158723804904543984,394739502478493592,1488749225956776688,4456800709815030590,3808694609468918406,1834932093635253312,5701769426608677632,3003500229929245680,2094543464564934936,5959766318601275532,89967870237813136,1124480456963179900,1818778977422572620,6480152594538875904,5049409538162321712,8090333547631530930,2038051832965653544,769285605140193480,78457990785475064,2353492752369354120,1553004679198286880,1685387968250679792,8331232614699649536,6267008785784055632,1210197244369476272,806303765569669744,666728556960644640,1961574413078105710,159123232969541804,5202085008848477568,857688581344108992,663132530345406156,658386431272897448,6348454092307536804,3767381996983724256,7673796951738850,690569154091435500,4603310559969960000,1368492839149842432,580571173009486666,1167561810217925024,5825208552670299552,6336930755103463476,2321717958329322910,1771313811790189848,3220980144317562624,1885108493350007632,814676170316249724,3806904438015229968,711200376364822376,1620435607635680892,2830909212417293800,3547604950478262198,3002439773402081600,2812949259501171504,6519691554339061826,2608882105353221838,1012038749123996272,5231604478419827456,2735309165490458988,2708219458624957832,206329553445019088,1127929596273845184,43129571103062388,47916698134588920,2395582535067372000,629460985405422120,895518504431424336,1276293319601200082,2658690621757357608,1291716437852611104,558642134956532676,4515221177419803950,4209520099001668388,2368829316079797216,1012933127433142440,153327085804761668,3582270667393172352,354029351145091776,732320194741013478,6176431749290274352,234371437802486712,2361630389315338120,227016676809649750,2723912696113347000,2394833215112568384,1001058229599510784,1646888553199847850,1465483264637231754,840121204050525040,1152596781634623520,3484685056040145504,1851186076288183824,1689177575261440608,94719621873532864,1420644281860971120,3493788400817064756,640296089745532600,3193341174777254624,2045466401792110752,3444872328423747820,2825183480351830464,3651577829613804480,767896406037187882,1898604847005964812,242736184729636984,4485606321825024704,23381013262025796,389642355230069800,6233618510852556800,2958643304978445504,2444534250920618910,450999455307595540,389735368892438912,167289197285713264,4442403483814521492,5266271961702912108,387136909709026568,857312243828197824,1987130576240717064,2773749396203956170,859349010967924236,346607305602465380,1386282454591315160,410691069105786462,1143489767216272224,86310815106938176,7767150757997389920,2249664740640750366,3187476726453831760,4735605904513593072,1783794151191413088,2209384228569009864,1700117715023104624,628608727978773920,653484298379248524,952689525673740204,112218310833032620,576053587384369668,540716923313586288,3604397329632085440,1712755026865770496,562825744844633088,201361626582468144,2516753399929789800,2317151360766504360,577915064907202464,3092852047516695012,508904116002029790,443691638409589480,6488929806338015712,6370230935246175342,1729859044347964362,1165073283252350016,253933509397785816,5924486261881995080,541027249348000930,153766187213912912,1828271181342183768,3154393008120843216,2469497870572532120,3638481491884974144,3481853025852053944,335636642277118990,2867795199090356290,1365364902877374976,2337714762357311232,1496202056864655824,95249297410046832,317463914748155840,2361746940076945896,457301901304386072,1298627145755407572,1865728754896591872,1978334088346952208,326841437316712242,1141380210122552638,2816667901188942288,558190983432829612,75844781804255568,505578089843794240,2028012124385364624,1955446835417597648,65452185603837032,1472517459827348220,4263249928802043192,3137233228078304340,5779937091480093696,5986540096431165616,739911413790207072,3288145042620762240,4925382144519777792,5672055676965264272,4230355090453299648,2890712524248973060,1639610458654498904,1973553479563126992,2497548106848872000,1047597578726690784,2878047755234071112,2907160606596806616,4801522316245302648,5505837379997440104,2875461800762683980,209048663825204196,2190360535010580096,3520685872193341728,2949249917684182788,2028581702376118792,3645252116951707680,6049872108762204296,3024559955918187414,2959977814808983330,2300270896142887296,858834957996868224,4070225162118098256,1901708448032505640,427333483731651780,3012764989154171496,1231212237905459670,1662913826579235152,4224241908889709184,589697174977554280,6738676687689325600,897907952341894858,361112209276445172,5926216187505761364,1388818161746028624,3258624200285504504,6216222513586452864,2007864229934593280,2985799019848039224,4438697744384014608,212797536752655504,709249312350355680,4183415345777295712,1253480554924395700,5214714541166434304,697745218695012864,1744176534670704960,3519570784126140144,3596924291245687880,754453643576203924,558261978790462044,150223009381003524,429162682216342080,2147344967612537056,1237488637269646424,335750380672293958,3598796680583634168,2416263157685846560,712252946197145130,536282506890378504,768643172735992400,336623216558955248,2441188872415105784,5325837892250406696,2441970970988413872,793193233920975488,1172062672528022496,702974275199398104,5035876110043089744,1053601031074260224,1995610648559979230,1601173925321263020,1348141688289847908,3294207494606579744,7167027425584907328,4918246594179386118,5447493816500619648,4398589787563826176,3651563167121907240,7886263393609163082,4086260452531077792,4191965361006643360,4596229232668637270,1200951628625372624,2338668095945873568,1393856113367848704,735771855430957278,170380317602766936,1703620335514665120,731621653086985568,5486573450940644280,902247570498084514,2343995591737813104,1954663708474792768,2164696747310688990,3116262775876795062,2149790364355314564,1519226566424185048,1101738728800065648,46949800228859430,657226592861826960,96415297568751104,1687086420659326540,4647013707345528864,2252384721008604504,3795637050186974304,173041020034901410,4080616983759205710,3393345432851141888,1029252423820714912,4471454294906457072,567841965040063872,2023371044811251888,4412946790033310340,2685455444350553680,1233028082589074276,3425891632355185280,3214529540755697808,132955224598829750,2392936527104356500,4164426219836505560,567143727045369220,664615045881817446,1950437258041946240,2256591457888702272,2729557070358077888,1312558004414522706,5809430337921280224,3506969899909644752,4472206626020979104,1067481394720721064,1096878836515186504,55739483918171968,278667394138574080,4876153962709838200,1171465736100326004,1945930428841367280,987306640582791872,3875337587401559208,244496407616820042,2444700506877893760,5172216697094102208,3811208340209112882,2959806872400383380,912355279385526704,47219632212722700,188858156890459800,102051619061073006,2380947569120491280,671060661340576976,1362969569482724168,677719281628337998,817391577794096328,896372544832055792,6747529133724556544,1992195125184621392,4699791901885683904,2791471418032811072,2285061517696074726,1032300872041122228,6425504447825386692,2331291728926962516,2502699871799237180,1385562443320823670,151056791801564720,3776011801639504000,1423777031208088840,1103591033518902354,1589847569285018620,3642521775958559648,65451765755114050,1178004434679459900,2807242550338298464,2276608756987957536,327704145810269696,6578282559263005854,99622619127455536,4482533018465486640,2222045591681932350,815487425264170988,2695592870502310944,7405441135977108816,400500244241643348,1334856356564650920,655556634510253528,2232409013275501712,569419093943803264,2068591205338845928,1920538503723068880,117509020537230448,1762444459737999660,3512465181189427808,3068338735490155392,849516376886187584,4999082054843408064,815409390154893276,19775723452626336,395471618587799040,1977143844983930400,2918863512713355970,4395765315273189312,324379510607913480,648688703038368120,1381042553572672902,5037976519573559296,869906464278037216,5028137235662079186,1123561137056232224,6306545151074282796,6101069581320043356,4052714056739706798,886959762188866044,2203473892752283464,916401791149601536,1934242142392325136,5494869527148022968,4790369791282750472,3636625841760839508,1357176918526328900,1390187684258757702,947271119756393600,1967342891421757752,406978885194013704,114621444634140074,2191254464254966308,1258848627093291584,4395161681453117380,2673840187364972072,2946386647161987904,148149445647353856,6666000670925543160,1713726106428500352,401068335383362976,705787799918278588,532608358320731610,1472057230329427014,5872002653114601728,1027690892794617728,1916144757013534370,454569716975488296,2352517251312249160,1198607289272005800,587266691554505592,623330897460713552,2630002885712983008,540757723146006304,19002519471767202,126669677474042760,1899838381265182800,2793309140982396456,2015658936340305090,3878952093154509156,2129955341814328704,4803913108368098928,5657629299713935012,7963325322326784792,751844662684069724,2903055700234537944,3164461434003324492,6998321268802149030,1747051522270235664,1286766558890874048,6238626566299030512,2557934076717648552,619533284169116184,267686707413307832,2198930077896946530,4822596074750292888,850337966397249792,3348659292462298944,2371713174146771056,4324519119525703648,87877663389387160,527208471128179920,2578355330092531626,1544996031366223362,1323627436628626640,2683559288157276032,662103923379623842,679434933757391628,1410824584068625896,3096498596024090768,4519390970515629408,1605607769728136664,1764486099548637248,5261890065340274408,2750564746657043104,2245485117949430838,626710087788553104,1333380553253095068,3438042495940865456,529685513615193754,3265993115287275360,912339344907071424,235679541446209484,565213958465531732,417206239655276604,4455623598165536508,2366551454670705050,1281167364139842550,6945385911443186688,3889581835836200896,1302541100451139444,637305616712323332,708039904239658640,1633685227507755464,116265173455442114,1072148558837357688,2673897206205543744,7770513569295918672,585214886690698414,3408529053379550632,3190430594568724640,3296006240892417728,2177389074532127232,80649574442372316,5644852099222701120,21611956442091288,432191795375535720,1496384135509567696,503068227642104832,4701557713032590856,3454570800509067180,2631728682770754392,1972999105441678704,4878345325498367744,5931949451055625088,1643282930918666976,183620384404492596,612000856188580760,6893241550782773004,521204224426236888,4507584132990693120,1881340779110974160,1169316281645143008,1486358228049980508,2279033702371880628,4171746335132003544,887463904315594950,7950387564234134838,1622929584563692048,839770007907480336,251472649757101572,838150167080662280,3760920539907084288,192741249311409192,963600449499133260,1619777663943626418,502261470775826496,558007018897805120,1426629434868943176,3582529215723810072,5667423491409117048,66532031707147268,3991483350071692440,2962377088129635274,1345449977930436768,2996008706473868544,2181220631072964600,812322814790073384,1897212443849949772,381501506253004452,3814595645144706540,681933659041160816,4769609091157554432,3142344317383296480,251921440006014328,1889202987901697820,231005881490239884,6929414073314071560,1183791845219285296,3533639581445068776,559969628908979632,1354424272317932320,268476101055798276,2237054589943562900,34919994518742180,1047484509099823800,1657197928040051124,596123720480819916,2864205666371372112,520348115688647928,3835715333344335350,1722430256009085996,1257168945016765416,5141296498581400832,1092887656422034410,1236616777495326192,2876673790744392480,1301698059439934016,2379089992122174432,4196184166452773040,3326878655061473184,5524442275733146584,7395382647204118668,486480289508927428,4623940300556553984,3240705709467504832,1524228636310895388,5874670729830544110,1315723724079232048,1266112413573663896,667350863077352070,898906132482998668,345080622138587400,4830595530247048800,4945013573227064834,5223302534900795604,5201181223516308212,353315605762340696,1759025653340829076,3341106596397469336,3544583033824717392,2007458428073872880,3348555537750451056,1453900849568817880,297070411743157752,531955859777402060,180157681094882794,308700467271919296,685925226758589440,4675298453338251648,2176006324704032628,1498930720238055616,966194660629799496,571433732279544108,833146294470606672,4045326763975890896,2571194231171565440,1745359409107104728,2184495034162675416,1997158122118105632,454279780364966744,394305026821278900,2160651169557553010,3964584515211592020,4366289546356785440,4773469460127299808,157967488303059568,789750005091856720,633536609428012776,2092635124586181072,1686916530337821972,2011538934640147224,1245596864199664480,542600202414441528,4219756314978946140,2228165306939836836,1903652709977033360,1991092342075438896,1823074488896376042,2381249338487597088,22931127374596280,91714342588531840,3668167035482724800,184575528898823630,771262293249918288,5998041577436774880,2600360303055789144,2056420524912799164,2365127793117533184,847368042971971728,558662065934555418,2173737743232831888,467554298849201316,1958441027183098220,963641619842783028,2181110523460888626,718522751662690416,637491599696535584,448553531322680924,3399133100463084544,4171791740788365300,1947714142485544160,6102263741190940656,633022231840004182,551052410473735056,566156546489427488,6469641721027303040,1121993493393693588,687652196689645152,268470819749149036,365651560963210522,3133807896945780120,2509353768935905080,2818163480057900544,2491285746492856560,966099451210200972,891857930881024280,225750344110082580,6771757127533499700,4601051046380831112,4377774787534240320,1994508398672437424,1982852964927360414,4056095978629529328,756843187024588200,770672333846555304,3146469074873907804,6079403541715855442,2409505760692287672,1358479803010556016,5704313327261759718,1050065058922765590,349403437404957584,2604595337393913444,5638880001848282518,1620536295624468822,354775661604430976,1520297732464667520,2775145800792860520,7336281662863734078,840946488028709244,1258143997111647604,243023405785602120,3401948435497169040,1956000710652866720,1039118911159491520,2476816027511386410,391071955840828458,2493210320823908784,5284227736332476672,1960409570877921576,3201019853672634900,94653824221303552,439396324579785456,1464490991887503720,2025584270582467056,6811867157161609188,2927074341121316680,2468874082891484144,442320451986322154,3159079083756693200,1473563076693056496,2881670529090276352,676698510514573584,2300189371366170564,4057093672506972720,2127037055660522928,343928513450993808,3868763507668775520,5681065030079300288,542010794273754436,667881672600970954,413304758576337860,7438654131853251240,847717179586131148,2261653133832037764,1140649296065624384,477435886567114112,840002288703940180,716872192397773204,1423520506014996592,292427990038813128,2189789002179447942,4136690944459379664,7374442987972902240,362160351256475128,423765310161651228,2170018115512747928,1645533949462244608,634599599488034544,2255415101633317704,2104562924248761720,731048050731046048,1776138426208151040,75051334427804264,6753863605726375920,3859481446288081824,1197751891672991328,387591633310268778,2403607520704989144,4248577521280123904,296920767325960752,121196773193245962,2748008228073657808,3319698581313488752,485090226421165508,510164013367296330,5329522383174482570,2009987367296081424,1249956263184517184,526599603327757302,100152820278108440,1201699032719432640,2143133802485216576,230506972892750814,6146162923761242080,2235947074424695296,2066292258940747264,2492385733040937630,1012110966841552628,4359624727136961240,997774887966711096,1452194120628170692,2303546897972320196,4840847710027681016,5108337579055386144,4308628029900671796,504552207731513032,2372043621058748136,113715330772595604,1356609407882064010,812663522756863414,885924948256918896,2495610309002244616,931487380030789596,1017914024314327332,7480913580290982996,3681907259515839116,348615264074686280,2091456375839939280,423114558426080768,3173002281565777920,201046846963867384,844091565777721236,1626957090363197268,711335256661428336,2570223010862615792,2258896606756229844,617183968489314688,988010481118931696,3724222436156273220,964257957859573668,743351613845672132,2624723129526314440,480463347219703652,2058896743042472760,7379912352739978152,1293833475572733264,6882957471149835552,4183881840115619670,3610467982840306248,1681268814308945568,2568281615733294552,1147554556014152526,3376450195394016096,905963078041709184,2164637739124516110,109550996356717020,912822037800113000,609692760545200752,616903315285945688,6123306305015311446,3857838741142104520,6581010864654610944,1417520664386252262,2507368127852839740,4401307330333842096,891227309764324832,601801271660410040,1286787773901419452,2036582362707789120,3148621954914370480,2447975348980834806,966092019790119586,1039043999638902792,64989240275739744,2274366520707054480,668241692866378806,4628451740929474024,4732419002447655296,1511263170117204224,677274197190980272,754242345117521884,3989625947712629328,5058006944522150416,1836599291347155084,482789597521815792,4782575006578703880,635242927682818144,6560382956754600414,1669186950909746144,1474574610634423872,502399951175011216,3651961921791180050,2175062415735641040,287825640144785600,4029103033803686300,4847156833567026656,51405403858180092,3083975155807762320,5948161185129065770,5431539240197046802,233161895031521088,777118322021149280,909987706805730048,786634793217608370,149349956244726036,3982214418150303680,6223041379481742270,114551417178891336,572692196666254560,1170229367516269248,5679263857058072736,1959607514491244864,736094862516026152,3558403354364643792,3203942826917549560,2117179535331535346,911317852646406176,1102629654622862240,564911000763916998,171045349049240328,5126806096191818472,3369819868084815376,6508934797474519506,774648967816264632,3609529925472601088,1174340415109567200,1275990961882160144,1180332886178623086,2569676110319126440,9259429535621384,740670269223469760,142017187359245492,2130015929394362880,1052026419048087424,465278857623956474,3323042947224217300,3328293476991345460,1353675543675059544,3157180126003666616,1858711207318601094,2143791014618755584,787820583807113920,4330832438257388796,3110050946053411168,4259441148932080224,930692619913008680,3479319826745708970,3169495541889785948,1047852567459418560,60400898853578712,2415761164592004240,138462791956248404,4153411225784921520,302545753886631888,1402907568583886766,2118640005343902306,1700593031579610896,2898956674930802688,1718923783374282784,257480097701773730,2942294693984033600,1080782566873472896,1171993924478743184,4905648493757010096,1024227208228358208,31998588119208192,39993679132493520,3199129856794617600,1781754894903045264,5825963392513346488,2653562160880931672,677243595982579522,2449311254465917896,507592524697393968,1645165439771856860,3424722392821047708,1210133484733826912,588865356481638312,655827019736815010,1384309408720372482,3275849316166827120,479842167967132768,5595063137803241056,391179164024257392,1282530951434619640,114172377760153132,815423918522636900,1562738603966721972,510125812718697864,4056408586996736,20279727515176640,1622192971451417600,1979365236029302512,3009731655007202224,2203676277018237756,1113225876029193872,4274760243544285824,1015150848597929680,7506390202415968590,5650536381839833488,2502939813736538664,236920049676734788,2019757879468456176,2392695771508427322,345938263296478216,275183325960872832,4815157613843326680,495889130849735840,144407718334018692,2983758992395728220,112176210213676362,747755859002640040,1754366800100718720,121241495998203488,365600454010053314,1615623531520399128,1223613443070479904,2048869837420718268,526304943812291364,4093014308638400040,2309780524104721296,506448954709870464,7595864465194795860,2479943461145623434,654168177102505596,3108306613772727220,594615957019803244,3055428966599284366,1240204452606038880,2663121613934826520,254877614619129112,80381825794175388,669771775972587400,2967328083466105992,721287463389061810,2729487620894476776,651800930016665520,2901148326137274432,3977841000812965408,3001838294881243160,5253327647905871352,3005631922838916032,1523014988477282176,77594501424885032,1551711963338036480,756212272527283632,2499795950249207316,3701898954079209070,5902967440101342744,3930585308667123288,5831089975182359286,3459588668651121132,4951418045943713792,988355190567483648,4594397870984407092,360518235606725490,5046675517542907080,2811693534376298208,1420630765282522410,523301848918961670,1074540021153887232,851563366827214976,222304257048044106,3772477800438088168,2701042110209882432,26896413989715264,268933214703366720,438378234170885008,3287458653192748320,2151833965963825120,872155033533413370,1150137777174442434,873448054777096952,161922552331729580,3890864610577490770,641724142634332914,457488778410461312,1857406164514539000,704935521105599896,1464677180847825984,6295567949656560096,306853032457529124,2191601165944128312,3068793379199914464,735967794822103840,480310726774083072,761146074795398426,270536413957782170,1623031459783373640,1864956311833882120,2977676718965618304,1094341959431215512,1745320368068868864,2740133467058802472,3349797431606697816,2746720362849180060,4143417085563604344,2050298902135510700,6713522055241546212,751026319484487592,2407765006673536128,2884009623454269024,3076699580118304350,858787775727777402,2787223134005099936,1189410560413215192,1934575734209879544,5180083587578668720,3056575066689495120,1250396250228018040,3302942735135641056,4324903424027014644,1529444130758615784,374972465880022360,749858311644752440,802512134345987936,3450712927357771768,745484167596551520,6849862393750207884,81453762951287006,2443330485773277240,4932870310502903072,935424231584915106,609338720309061666,721406999702526144,3662721114312810720,2551589995723186432,2640267303975365610,532121091843534624,1229248118082938016,3504659111728243210,2931083130280190652,5254272763835777976,4943702249133429696,2891897626439039624,3844180419425391332,2409132498396059080,3219184859737595700,2379529759040676056,954631591654334922,1582663618796083824,2367644707251808768,627120511032063216,6270478776112175520,2312183066364641652,7206596955151113564,4010102254484136912,18400849908155472,183987176980736640,603503199397956928,28529586979512622,570525603028314920,2466262719743571476,949558231406240040,1861066464681453344,1979980728458484612,5380217235458448544,1137348810344679504,1379227979752282464,4432047815238266916,4526092304546438916,269409623916222848,2020337731865984160,226742016327816048,3400735535654005440,3599045468407570944,338422799564169970,168995952767414412,2253017772022787520,1283589290292302448,2384395153546114696,559476880933539208,1701410517109649808,4097589301952327232,715695671684476288,1141423884713685276,2622568506461681736,215889133224119540,4473120358845754416,815971190906539850,2732718558892205152,373622482198527616,207040583700238572,2457021394280786424,4641735450733934976,792260801790602364,1053071406456656706,4045608864858556596,412450334586630144,1207526112418116144,2823995040424928832,211349207540842984,3180255871041502344,395866909813587100,3205664158729154580,606375542613380534,778556082082790856,755628008521447376,1001840405410068408,161554713273206118,897421665936553800,1099582262203050176,3274925929867541556,1461517923215718576,2918560804208808640,4689258581221187792,439646718387625488,2197977431093947440,3511978734163045280,400568937151675552,4165940963447436048,1928397295260020928,731025511323914488,2759682394444437504,1957838467155696664,2204013150607567502,666785538923578228,405463475708547904,2533851106704171800,529863449940986620,1862746766213255936,1349669769305474624,810153511046388288,1570883293882800906,2219378103484800512,1180264321727821904,943546024819806076,1173512142056821020,764624290262257656,212324397191956656,471776889583916440,4243267663157178552,1399402965507153264,536601968893401620,412935860257115824,16176395440005710,161745051464264800,231037355600684000,5940504771451182036,2226333536121072,7420244259091520,296775069964198400,1483701851422112000,3695891872202968392,1616571499124201152,5964963903792209952,65888277745297896,2305819957597034760,821464793129373276,7182175528426368204,4515693366852056784,5610679259861677248,2961965194504185856,225993266145863440,919059227421594162,4744146997204566128,166472195285903052,145147781110573696,362826959774562080,167924370749543108,132967384225064256,1994277133192705920,227966307746623208,1953767994878928480,7095126153027096108,2403819280917660940,6259084210188500130,1503599228018805232,1880125670055278592,4127112518853085160,141612486299601954,3564698610914298876,188245560815785772,1194677744293363120,1491937377907133976,459897400502406006,656919216685471440,4097860505716384960,2412746577030857394,1955704587404650638,3857121833281668020,650858602081718968,5540946299633706346,1057067343387979196,2167066994011739904,2635045694592486144,106489527975617976,828154621853256880,1813673590370391260,692978001190378512,1291053425498847136,204314631984735972,2016340998667217360,6779855896822513152,1400854844985220314,5894339201629507216,5681116870597435176,3704452530897439620,313777828797457122,1045803129237781380,1047033355957239040,2279580774557656560,1857384584907240200,3294705796206478860,2314204115878738496,274305995944893220,1097094898593025640,1723749342194630028,86044106751753720,1032407771660254080,674449828682794592,174817343749986882,499419328683255120,86825917530362712,3472627791680604960,1513521688105756860,627443431886581632,6273695362489805520,862860603269475952,1366202355078177540,642490458979949744,5639706035184554016,4620252112786884132,1392034255758296472,2058925802090892144,329146938065259456,49802732359064048,2240858757007521360,364428411173807724,809745425497856240,783609777448455328,981200184836762708,86556811102354944,384651561042810880,582961913116854216,1924662301464868446,705706550715699052,4258741606447728064,860917312170129944,1138047978159961050,3872593174143511104,1495701633297272064,285158944731129708,1832152559268058206,3222124917416390944,2304944604955223784,2103957458103910644,992342824984245616,74561509876539712,2982108048998373760,1410760077076319424,631282389097880870,4910220768126947936,3954813629884121916,973396688047760550,7227083178348261714,5649763231194290752,2211496170324098432,2589170451065056208,3114297155912576072,1861449973771428592,2935945132242495100,718517319723198008,680445429038252576,450811456482356928,6010108197210673920,789922910427467976,349373588546583592,2189764204841121552,3231872275638856672,4607526405217965828,2210183527856632644,2608359495860944224,1719817749788360640,3011701759708830734,1699378871162969990,6431421001042642176,4401475321940836344,124175383113934152,620803350639160920,1339198894310980992,1641372133048217984,858313882258652344,235753825253511150,6617954830524208272,491306123710493532,4366647744071021920,1780804792430981148,1044989344411506336,1445679336124388736,744432101436484576,1922199586754907616,6256577240138870976,2644467758105987940,2141423160744763920,698397819988217190,6372838490450539968,3011835243513018240,2489337509345172178,1906086746770759176,5985220444505408288,393315349164418408,1043619944388489456,967058563801550752,3996368923132373840,4978881204955224896,3846229407837090648,6735057583669473618,1841248388901243852,428463961819399968,1450798257995858100,800969605040819912,5139948298097674208,273238169753322592,5464113677623091680,2923554959056375488,422450658302992144,1295255403935487540,1408499179593789264,5124116404822105516,103495365951675376,1552245790671633120,329657980469978596,538552978840479104,6057999970370591040,548220360718029632,959966403360635814,6232068327724306384,1057053698461015136,3113563513094537888,1658779281106532520,571056007105310650,1006870224709637388,1046465510603253184,3010593469403869284,361342706340860384,778245871189709888,2669104970402843136,112878328818371648,2906716240243071126,27850987161939552,556953342089089920,4176652067417138400,2071550088532493504,2429398121080580608,2247645814120611072,164124241140061836,62445023035939784,312187869830145040,756033092648912204,2224688899347376966,5349146216556305086,2004187715290862920,5533871540592388896,1332854621927096292,1612280199565032452,4864205502740251304,4131356137378994304,2723541197223808416,566940022340643168,1693478365024751424,822845650806383376,192753503744921420,320552722308435204,2397876247345295532,1526618606166622696,2426329519811973804,255949161127513830,1990477756443934800,3913194080398007808,1001858478140616810,900873631844375028,4358666052646210404,83656919772352416,1951761343366832480,2668568257180368242,3016354585462141120,2506564105249678992,334849640630885900,211100709425879424,3517924126605683200,3109087944428895840,3639379420897471212,3637676307344946512,2698736813990413000,4713909363818456576,2551493049838452918,1725736257360834712,617878203608064440,4804645225315934684,913351829431003992,2813831115501092050,159847250898504624,1369955124149358240,3410910816519592540,3767043562988265144,1656491382335732940,1440588728958300192,1280570722396532,19206257876482260,512105465734316800,3840330420322368000,8132143868620944,162623370007469760,1626038630493139200,311700286179583196,718877614936832518,2384032097631602844,754292384988262848,3162186108516462264,2858859505397925252,2339449278767837574,5482373387015962836,3505183198309738708,863614498600666816,3934015291485148828,62612575381411664,1878151656122589120,2942309921685098264,172856200162399306,1192844781763893216,3164470217493677976,3410299573768400992,769937815295695548,115718213867985888,4628172172541093760,1828710894544265718,2185914058939736160,2699179077506230900,4003952982250875696,2374859175357642688,1155312690548184236,794259489311935008,2744603368078224128,2936505212328021984,516445388956351314,385586647555711056,2444278444930419780,110872798449685632,2500061952278153552,5157098734164239072,813363503874848096,2207826756639780960,873208988722042700,1937404880411700100,3461479177535240440,1676389684616529144,20051286638397742,601466127425139120,3315107655240043264,1513994650715241450,737117872336998976,885116338235146332,1408662625741546596,3608643118039891050,523463955013462704,2617004196048178560,1494599508469682944,1676949122701180344,1236199982111208726,1348165065920767380,5630412660110834848,4802713016984751036,2039568821841459104,2353102978581931408,747148019924785152,280644674571178772,851790857638906196,291898108876283420,3772935459813549484,3152779273564348960,3768247565564751710,399257120652040064,195588705693497480,1396893432173471500,3324282480376085648,1729258080216914340,1345090865168174848,964589290105468440,1033306412641371804,275301496943487168,1129475300918214384,3579549784745955384,2954638250117002078,523040527352427800,959379719383107344,93619996012038392,1872173458614043040,6057177704544767232,1795513587110535264,1064463801948310780,1150077253802330192,1700944517524770336,1632282352921328352,5562954776279088032,4389465431001959672,2942054941410206048,1436768525963952384,23016270179053306,1841078646207105760,6485224179354297336,655145266792317308,1020287063805308222,5339351512191739056,2126921529092572032,1926877905752365440,4862252585934405368,1257272617980426816,759248663624236084,974234435715948232,943994991094655864,2796044638105504330,338690646272317560,4063794908400239040,1382795554632942696,2658855867198412280,2693008274903740224,422762054973839168,4292077604823069792,4437214083863909628,157311880748236480,943756736047919040,781055864119162198,717217263822127538,239308972847633388,77978872656855456,97461755458162260,186838155913337306,1172095493246798976,1702420896231612576,812142267970466170,148591077376623336,2971460487552822720,229309614813651192,718834526484986548,737863708541980286,267162696883144896,1555942724938200840,1503360772117518132,3498163321445642448,3080589518274872380,3749575350465422240,4531603417032119580,2859461409129297588,293870997976595904,2448627062607465600,1089569829659919336,244232219766190292,595469294427976612,260039433110038896,3900116736522333720,432953701121863376,2969822864452228960,2213502201605266120,1503211307872798050,300193897653308792,3881460253231095288,189975060155059848,1980756167854518744,1462087514927348064,55332973802935504,1106524629574807040,83498954259170604,2504663335660578840,2279834242006831380,1626822183307160484,2155464934176293208,86320345228992796,3020843687961977920,2777173334186858040,147476441405483130,491528177469149300,1930785091621962264,1735588036754957112,907249821235550574,3372909480744832730,2405932384876153840,569969552691762080,3213134329739634738,1755822026821102224,3332346671139633980,64923739685152576,4544106834399872320,464660392538263712,4551568455112152768,1637925381319512744,6902643889537899984,2525365414437940536,232022352563433184,4059895008613863440,1638358645316726970,300289879524827368,5038729039012551512,495411643671508704,797917376516615712,421222408265105048,1631171479678491816,3378394873885956372,629815771988494228,204628263575163168,2046032310505635840,3447427451748217728,1625183233362071560,481431618782203830,43973201523679008,879356389565489280,495692617253961430,1657385926946525856,3799925976986803944,2257530336276943280,211470908379416296,2498330718131256414,436971250652664468,4247715593235069180,215140519581446120,430228321961433520,2029897356857068400,491994081529862040,572953950800393008,39536438056871934,2371895500047336720,118569701404943960,1778327462061672900,2388111812892391470,105288715930627104,1646771765918802432,2458086875188312908,823132701540387240,2006239679989882496,694996845190929008,2179696260488853888,521487979463856424,2742362538345398080,165299446587815776,1239593664395247540,2202875202261435390,693601800905711208,1136131186671439548,678418002443549628,3973679784970223944,1665563854799623128,390223155012822144,2438595088245774900,868490285062889328,5561942807905483032,2977866073920486576,3199868770469740278,689697377064137470,4123909971503121216,5978646091701564768,2609054170093928256,3750522906866472880,33261298008130336,1995432426188584320,446395389352770032,2723344857837072976,4233761617834662816,1862372241516778656,53716659825207564,477422657846736960,4176934092248215200,1626867950312382276,6962703592355454024,4580133379244717628,5291559222135699968,1253403913032276048,1527898288165575050,5860440279623560624,3212198032642667172,472278698369681976,469149289658640072,15824496569411572,237338197304243280,51941018559354576,1558038493817455860,1655006799357669636,1167238502004031968,5379591386808952092,2819556690657344470,226410081054430058,2153172941589515712,1978005257398844856,651796650234249432,2345432188192963072,778605203463200208,554629508492833032,4098381030348922782,3456443165652526550,3668730458760804080,3094722663040680448,44698451530077540,670393987962711300,5213531592196914000,4506296357996641332,1880471199257869920,2696014400147990432,1701052409781010944,538957479690767984,2282739786253236396,6472323311182718724,500607714673811896,189589229331631948,2830041960049990336,1814763866005811552,5460360560520187840,5933549731576271904,1709826933002727392,421664539866747710,2913809647588838880,5046071200661842344,1288377460142650284,606842796911236832,2710754284149322688,1850467528369744368,44997127558922760,179966231914141920,260205105827480632,1062685044883798472,4177244332985501712,148917373026135304,3350225949710487120,3872693336407386624,301324866566845168,1412048983242071972,419024745483709668,1883448959435465796,896484198544537036,4607673747196539474,3048954135350372352,4236191442628110576,676165030092203484,1383494397985229642,1759958205536975808,2237445017218814000,1523210132092152546,3200650508006895320,2070487944341510144,2279508682482930304,4918209952175962794,92015670078722198,763557321435573660,6077514385596733408,2075054287400871582,25161552894967756,880545021163898720,3927282934200707776,1847615818391337696,36958253320612872,615894386479394400,3721293907298139232,105533256534201664,2638003637057028800,5425770808867977088,5873627031039327744,397457341778377952,1156524248376056560,4757676263312151172,6031227960930484152,2877969059734345080,3569116940307833382,414175207494492000,1845242195510246568,197057264031518436,281475360022320360,1038530671718161224,1806906639228129936,3341415106008421610,1691744069710291284,1143151661992929056,3946691292411810544,2002727058556198198,1702629338764053594,2922589634073792228,760638659145758432,2985370173059696544,3376257366837518240,1280883993896806656,1465758940257592640,1280023487228632492,580744275064400104,1225579112926368712,137945315922477336,1182241055010656880,1774721571433525456,4964297323516596800,400869166474493184,478191022122060772,918765333173198862,515921775677823224,2039002245011659564,3123906529734063430,1030536476320589756,4967407558599328192,704497412436745704,430202568971702254,1843495192589905380,337455179206623856,2410093249592106400,2238474065804964468,1008677587959869510,3950895471634739712,2581944788600144352,642310095099621184,2652927568202471808,2437058451076303824,3392552292875770208,2174551861874455050,543785627747282830,444631571336488896,1753376322093110920,1854543000562717072,144661244423120152,6508942123918685040,775588609780368536,380058479217570650,6840197063873369100,3791881497382039720,5942224111455406592,2938351377662923390,557270308497631438,2031792947935419552,1563312882708660888,1633046888101686390,683851714358673684,2409531498372544,12046149207389360,240892819092959600,1781039704201938424,2629000818682160720,3505411033981288824,908987424763464504,3755010681682181450,4091266668790331184,2250177511372840608,3370799753916191530,3372055555310374380,4066095881660801568,5689233093826207744,2597215228349125302,5505250849259190498,53636395359988896,2145186769555240320,117801029618084764,2355725080555342160,4692084034453592224,5066738764365063996,2954432525428993518,761041862394243252,2387836858243478904,2673520330157499424,68995520337655340,2414540068825276700,1688799655902224896,877113162879075080,3012888455941412850,2190818416450415622,2475667725913329920,2480991846999036096,1769647785904435650,1544402903494625148,2447431552490112608,284920058736224832,3561053133134672400,2564147275012521744,913155281372892880,2836762791033823776,130172090920829984,3824132473405567162,1586305002727601316,1261070853303459440,1027685945377620424,304273604335897658,185938957987690752,232394453359685280,119777497319920524,4790496938411016480,4239494969635536312,1933466230921181068,2994738492201710196,1397773549866138432,672751612672752560,3548464269031643136,4455957759280979574,1674933626173385980,2009354065946692416,2005970315128092768,2961623118999789576,553728148106901168,3051098562745146816,5089879522906996896,383228648304630014,535480382220680400,5354128723524744000,3347732873381584880,2692441530868404608,4966522904066373552,2894818620894586776,1445100589254525728,2797752904116353820,2963698754503761522,1704633781386887088,2923122049261685740,5237994929224437198,3894921068558722118,1506462212651457040,41753173950092976,477118882649968320,4174263062474962800,2811835882862087696,1069259111909155664,3354392885538207728,874168377517148220,4307708259456505960,584024134078929664,1418170101539791748,1001073844745549094,334086987518953704,3045807200489721696,382157355812640568,417050835930951180,1389993672671660800,593849233411662552,3354284914714406904,583216200281906184,4663302149597437164,1326080109191099152,5058745395382270144,652344015308437056,790370826988158624,386132778335789072,915797001962517360,1977116547087319730,1249899483631157640,1754776138937529792,2425034840770054632,71430188528288236,4999479888218253760,2826101621977037768,2647853719220431710,4178574493470698772,228488317329500788,39904767976357388,2792979733542930260,1744858588803793470,497007486690459024,482342908614951552,336284586883802916,185888385169019512,727032820765247248,5803370209972440864,3746891510716451968,1594654260852499168,1496075198843543616,3022402925344671072,3883019496723296748,1908908664983001564,581643338600144712,2670839164931022192,717744590109316350,1373483254642910658,892143245753283168,979243961304288064,209083153068732818,2393113250620431456,95415886720529984,681455459483388800,4935026226872868528,1413169719568446476,1581652496822106912,52478953850888008,2623614148667634700,230896905082293456,288584435412834120,1299778509646214952,1074511646812476104,470487909118480722,547890245329516544,340054075626924384,3400108128597690180,162839452005275010,3256374613029111600,1939810356205176348,666384059494846112,1418009032131752992,3134071750690690048,1574367708020233920,4318025019705533808,2337842909303633452,1457004638207104512,667327509095841776,3618713096510050080,2725445237716151370,1724975723512404104,468067392372073312,993776045689624338,1804716069514158410,3821425846637588784,3823680715081347312,1067709939942119740,832437076452124668,4512060953801479344,3532427098991509936,590988894812510116,712657498355776554,3117328970713729212,2967745040672703760,1479574856403133828,6472386449743027086,3595891483958444776,4799324134120882688,1620744696019389402,2539238666061706816,1453455000014996048,3559711203406745904,1596048299783112,47875333342571280,1116948415819353600,453521092938131008,3534518808404348058,1780375071909508880,23614504480812128,206600505923225960,885317563702439400,2187902108599685778,1886354511465992568,2189264678825837376,2062809148872235872,857668826457719576,2655696174505390016,6473279764850606208,533434722705225798,311488487699969524,546186191840837184,365872573632489048,812946106118480680,735177116328157020,5029473661797566968,531827003469555164,1010143087226767858,4223585893892777604,777495965471600496,1159196000232678720,1363266250047793056,224470260967977544,2302409249167731864,579868020304147120,2133602671847823678,1869594044648214616,244821124428914432,935595238192343008,624867359563820330,4605877571842676394,1381382648498234592,2139501329592429024,1845816806374116888,1325511770849514864,2512024616175460512,1499871466012314000,1152083134323606784,1200604145294987636,426316723966546144,1643953567838258180,2382843708497000028,2741549661542646528,1193436515784124672,130425298916815728,1676681347649336280,3121171401031570016,659856176534634900,2908091045506496832,645176013497305038,563583236351696548,2421703523659119960,2998859348315814144,4842881747030846480,1516520297405234844,1069573048501748760,2672675447120626528,571685169439547982,635124054626812660,469884238433757056,865202122801545168,5432008670227174384,1584749124437714082,1164909298454009472,3540572053888513380,469731443494096434,1451380924258916280,5595639812804908608,771400963708252512,557694643347955770,390687831337651232,1420262937333833400,495854379891379548,370294525473612656,383935394536406084,684340418254670400,2193389683255094688,946752766792608664,667052097734782328,1809555832345540176,544193893500031992,2172261858376931734,1370065229271689504,987052937209979072,1076805688427426944,1975351326954989672,542649948673129856,298854338211396044,411970100520918072,1765358326815749640,213363207034710784,1066678351360491520,1411520606349864168,2820047575507919496,617833413542036664,5362642528470745848,946436222696591952,2239888955297022274,821707640814528468,3813676556265975672,658116974065213024,1828839292850297420,15319271066993530,43763689687819600,1750321343587792000,1452357332671977144,2740868440130778696,1382522620711159440,1146755056200223344,5585740947930625506,1090780710218450964,5718815372972179712,577064167205298668,2640575023963172152,222271721840454986,2539919552557761920,255763949657862144,3316934881902213774,225268477468040940,1501595440569800800,962869528344839220,3064567678759830834,1464528078829604124,1521021714782847552,4175168658528153312,2389388742182822364,338114326452202370,1398406181896292904,868385196990938952,2835525386966908104,2663309251871667270,228074487181119032,575628252341823456,462360111003253148,382668193110676098,2737540282734856380,2278926361545089592,1114582434602404950,1094768871094670464,5126191725421209216,5288280270139953072,452304421680772544,3391842929324590560,562413610656445828,2670712662856029420,1008516188590711928,2382915274279970486,2980227755962214688,2425761772451911936,753272256389087688,2980505014934459922,1622935912079759776,425399421401670740,4980000612553732560,1246321529697719748,3143204482570527360,1096598120143632344,1032690886594349976,1686274671846102136,4109195523137791660,391762769611177008,5222824313355781440,5074780726748792192,2886164706365465824,4128717852129560928,2838374027996370352,5181272529313051872,2707235686474081984,488502205898242312,268157023318631806,2029872279389199112,23308125952306608,25894545837422640,1035646960862119200,1664636202037063464,4864363261960505940,1344060542748753648,2320086165605081540,1186356363381157136,282250323130707712,4938736990228321280,2712487162932336770,1080298363437892242,6363829828603453464,3363749017109006808,2716650038317735310,1113192884347430526,285761665821338400,459055833091517808,759614699905461036,3802128353516176502,2236057649904530472,341185868656380300,1658890129211830216,3210474385734783780,2356041630069148096,449102721062913792,561305110571192280,2793555161549847890,2133733899944765776,1688104427357935512,3240783497941777590,708185939591976196,1763044257931542768,315060616481185488,1315123274841705064,1207858608766152252,2941341913661618180,5367254510973715380,782322751990030224,3083554332024843432,280667688610336776,1288874342429418432,6361046982703958832,4080887091346843386,464408768637265816,1326708604303766560,1210383276446717744,363317739026194840,6575834320744832,65749736477785360,3287056496539673000,480578126536525990,1448656670673125784,255631408158855036,1988908778684477790,380771745829070110,844659840385588640,4038839463493006848,777948990348123774,872078406525985596,327720782127561312,3744889509969154560,1105876292401512972,651102888631456310,1692543716429463168,678676495612442752,1285827620434869512,1024348651022034828,3792085573217391296,2343910992722652792,2215824128427768950,587713706387107016,538950518894827008,6062397666681784320,1942337909631386358,5599271422633362462,1927926064703539744,1031573164878950288,1097754989769349392,3929815552364372676,96281357731462304,491662334590933744,1538517003781054010,419918577273032136,666170109629831912,1912608492601627116,2076212973093282312,3312270218407066462,868023285587417344,300508666613147552,1716966611816249440,4985961570783886770,3397417329762549180,1409624832801799152,4627495330742042948,169997726446155314,1344331365244345920,4880343285277880328,830204576173918708,3448021474496155500,177862836605619256,508112638847935520,1582368323116307048,762952318758022540,1685642598779016360,1319770894014750240,495686942541037986,2679067185843600576,803874338861011164,4829111276080641732,732181103924724844,541583328151282500,1320075286199851328,4120974086459720256,1774555971910029576,512908262446630720,1248479753396492848,800756594330631768,2643586054619304330,880564249469869566,328348588907598656,861378468566595456,2908673909426941552,283396486593757320,5667181733348107200,2005834066504675452,814940580349666134,2892654199231232610,510516595574039616,1245693645352433304,2686708405279321304,613066040679535396,866804720788951904,92518885516342908,2466844326265991840,1888420686830625792,1351047346573206096,700144720310270592,4097357567095674078,2269055575057905088,1404067527111784696,618523651220691148,3963958004135538336,2064490759859605596,964758211880516928,2232611345908948224,2422458947945422136,2961470668459492896,1188738048609169760,583303362670436688,3240145342551227600,696083868695981584,1118701624061360248,711085488158688256,715008317960131944,150616981619600100,501990113189554000,3044024104565475296,769412960640754710,2614914391571928348,101075216722102016,1506446200622887160,1228872236041985892,1685085623627119220,533536597710343104,1487951266138621648,875450313878777250,2998246402804066272,3473813974620462816,1894218323980832,37879341264790840,757486323137917600,476874491880457608,2075623432226599968,1621343475696707854,383716595178445396,502490095185583104,486205771968350056,3472437293828124700,4601742159616781872,364272435940354272,1421776260736170164,5545157388082972632,1004753958572917312,656377828331452488,154968795221806832,1106772875076745100,648165881889878534,1971329942595701628,489878985265458236,4198404511087451880,1275646789684634276,98221127169262480,196416130102596880,1102888740682319224,5136955582181458698,351896195134260336,2932078138749475600,866236778051161344,48029255911255878,3841829092288736640,3409351797437908992,150742027318504288,1507219581927115840,1687731868701047260,590281216330973896,391830650670497484,1201842838957581828,738221510976831872,166521022496881160,2044306069396764096,1323445958800003278,1285726498911675408,855241345136561968,346781032744235572,4458018880283453640,212062328334392616,942373560058869120,1705887383192180202,1950102627013052388,2172966397593652120,739200096231208752,528237505064138894,1071418227694050942,430919268080470400,1077154389648436000,1387481245007760162,3649921060894982136,1619254078705660740,1428614819964797796,1632989638279366848,523298027992157614,627329172110449616,2933677615445860032,1347957248135751552,1391613964254635380,6084033678379545804,439421886263686156,543159787569669816,812571100690429704,1658306879651112000,1228493444430007248,1055755988146142024,1100052046928606382,158683235292278500,1102447066991596032,3041323131319203108,683276654287186020,1330425004286440624,1708288765079773520,1224478219692466088,1029119835692786512,1436591455157382888,2627388924901980804,699301103570582904,2324222972482341530,1336137857947890816,2261835895687348176,3297241414375914608,4962960385533932880,4218287302128714136,425810873569979056,467769319390699552,4677066216991188160,1986352412985606144,1919592041706555840,1365291711714453880,3691617884791185096,2788089093645280880,5448919979197889376,3628725486240640758,2321566933109953552,317829523024020288,1802384164062324360,664138361402504340,1224370552872919878,4704242388717924640,1168050030426573728,379072731433940544,5086404130699415394,524405167628472704,655418419753322560,1357923862583620930,5596720433175616974,5083941726518234944,449314695154579704,358144163321329294,1534697267368776420,1631884365879503568,478025117026925616,298148064659597418,1733218571828563092,4783292777823589512,1306477636630368972,1386217698168755648,2034234090052207992,3619853669090057088,4137996829494198528,2928399286609767684,32298965898907092,276811016183364960,3690316720378041600,2614269483429726744,1624753785532039668,1652904057964776448,3915840333248886000,1848353739443651146,3319642843927314132,3316358628639858620,1864414452768513220,503211425696815540,1289900206913246358,384442347325717632,1172477450446356704,1811053945305906168,2146623952504093776,1201881292439673904,1127725476374176680,1028178833704391196,2919586937641306128,931838473209606528,3448780608932056944,333130840044368590,5329374151963417120,2901687925441726708,6075137297230516980,3027814730657354988,1704752062271796042,1013195559207643968,210345425025825152,22759065529340218,1365359485854705960,781770565012822448,567783627694978464,132303447207048208,2519414559183605544,430567635779529696,4920107870887390080,4860278710066365248,2667538099015910240,1946473622516198608,73780495095739056,553278877344106740,1378523397609803172,3532009827162712448,2096173200133297408,2175784890187804504,1786734571278487194,1682794797482815904,506443350252239784,2250554649333689440,93594856078938976,1710881937787409968,1849182845138478680,1208752012182922550,343788794404039598,1346559328357517456,4107249925153324768,2081995113585615858,1054282414009419820,72590976278168816,725811377405672320,1409560451936423760,761901897388739728,1072677324673178700,744842177321807880,1653407105001021246,3402838245596078090,3573251124566057088,2616361603820903328,1551618702624324572,442207567599233478,189498256126712256,773754715289538996,510779697534522758,1411512897673492810,263950751674139712,3958723678847333760,2377126764293039388,1550774795075822910,694042534707138024,78786064205567700,1312922672595852500,1679887204097196018,91541821718769568,226972209208314136,1023647353102722530,5365979491540754624,514194103297444028,651220504902723224,2521222193145568020,1592056641227536778,211057082959951592,190256640309923584,3329038239436062860,4415636345240732612,486241666159230352,3169438181109729384,3775515958941488112,2983403609008084080,4235826606758330112,3509302442640209952,1770949483942256360,432909250681544280,2373488287590901656,2615104369135553700,2974965797472227258,1054315101623208832,5052352199242269376,139888763038985584,106921892051115008,2405414638683855360,3074649359278180060,5965546229766174744,2741986896614450964,4106345122605866544,1348350065422011936,3055317940409008512,1962251076641688650,1993031875174835720,1305933998950290164,495455861206704944,319706819890652516,915121203781256896,1867741892464471744,1683696581247690048,610455226504953132,2712763824856049440,1244559229866038696,64083715509580124,4485247269105038380,500881352247912356,1356854865647778816,2096165280361223360,803879447810523084,628293446174576898,260202705419189736,3902506953713698680,470662515840428184,2728563996592835982,895822863643938192,506652098608182016,3871503959852625776,233712301517969976,2336803223237102880,3036122728929605504,2670800306954756690,402282844490183670,3050604986346822800,3208356594612378640,1929439340508614998,164161323779484408,1367823671529198800,22247388156417264,296591206609700160,59599063236984866,1191817937952983840,3033292866874324992,852946231347778722,351448708971033492,2940148834216580376,262116018115119208,629276905796792834,813177037188997790,1057030677710179328,2998421987895178040,1650066897950603748,271082618742868760,1084181692195357120,2627506742735351568,3111350030793710958,1449912629437452768,2010026853252597240,771072412035575104,5106697311238652808,1638376908942542496,1203075872472848304,2307088235973005888,164947101915572368,580345260623478184,183557531341568384,2859748642918788384,32406636328042674,756050913843998780,801710407236147672,2452489789264657360,20440391480702258,1430630644481324020,29560395153762784,665017407763081920,301488291399206730,2411574505590623280,1804586567269546896,5297667147291775104,1381207044718592784,535136534457551196,3629919627480722304,4383322117829312784,967000505569287228,768323517960443016,2111996263190462992,3758215584454320948,3758505849807113748,1173573595942650266,2253287622263564544,2040412270051156736,3250966217147603766,1362452333533161900,1679677710895651292,1476007203203897552,2450379883508464080,2850850557130237984,723172261152918720,1364869278915031392,2947931430184660776,1075862529506752092,1322075243465613312,1051121847903741912,742657467014378580,2247155813805569624,1268635013322153888,698012568968816128,590617366417963122,3087968465043705520,485290176119142820,885610065812110548,1255135620720888540,1939021136564926488,732847700862101184,1639122639269730888,129548967496874776,5828897752422332040,1213042399049866308,5363454383678303520,1267518839397542148,535851162485418588,656234301639384216,2471608675593359280,2018881681468476786,442159683106917916,377921172085247336,3792900406465249968,227355108974180096,852463648942342080,1325413371166641216,502888487345395648,5253863587641875178,3610300449004206176,947324511554821424,199462102662655776,249293089474548420,3793043499903775728,63142977492719696,631342273499217280,2796714737467518624,5006978761759225888,1860170363960606532,248961547967355860,3484978384877100020,1640051449101673812,315856772756580608,3158129613266088160,2401149864403172620,797880086526991952,2604841149607770528,4556368658759541952,2586471457720749888,4378660997508260288,821569015806609408,711356185936629472,1005250129412977950,4678188370228886128,3866692546274023896,1626727144243530032,126614713751665608,2109952042852974800,589163620345027296,2491262216096393792,389144599735233076,1815104909142016776,73872196794268656,1661893338181560120,2532164136731533540,2248627018053794724,796951349792514800,4451674452863128960,2993764328271586422,5832792655521376284,3189521814322183676,2700812905938114080,189607200382363712,3317664135530204320,111752526112437056,1117369669007139680,471157655401146896,1047915855728005614,597762009166225680,1414195152536835072,468462492641734648,1010846443060126554,111021768188689440,832547221072797600,820040640286083328,2855477251462768816,458896558313633080,1454009152448870740,236837208382646228,1095718334191326066,1571733420695095600,473370126127364144,123581486067913164,1235642433655502280,519398872946638308,1191011095224228432,2538950940930810200,344787976333327414,908674164625456320,4221129441337386336,93809678718878216,1875931551073240160,345415546753621708,122186113664829820,1666458456525806862,900783164148546224,253588873065358528,3764314505752600856,351293896396749852,2508891352609332600,1072681591967187612,2226075071300133300,4290226799752814382,760800581684270078,3371459363475582272,2003866718847933888,923779422772625272,2198996628877276186,481378996261390008,478375865821998564,529865331934142208,4585625844535431906,3415291319849847264,375866949913941136,1309284692938526070,1890857209944067360,3222801602932660980,2475896749549006464,1705098387718078704,697204937044544610,66644968043882144,15987349750962816,239776631941999140,532762262982692400,48936539626652080,782874843589047040,1891378396485505956,2995925636755049544,2809801237591681792,394042320776746800,4509582970196264128,953007691297200188,251380537064610264,594150785694659252,2563255935540126288,2228674554461399490,1931777681393374464,966708570392130160,608924659829228304,520935984547175064,1920697596730890276,4004481664652795676,2391839349875346280,908927178860986404,1724046020390558592,1777255036371289872,632418153406789048,3346471370770340526,3706881032186099460,1213213777722443392,388629250091978328,1242139129136693144,1050174113883722656,3214593355115565280,3378739335867477442,1821442660270244046,380068002118341252,2955668376308171160,1301416845974566860,1243986588008347404,835415641513522944,288876695061602848,870952572855872724,2921282634569216110,2820981745046550360,2550564005145311792,345612715449142310,1427112650802168270,800442899157717312,61705546405598592,1542421188390560400,2241183880946919320,1584111883383630888,70190513715120768,526354604669740320,1747703772102183376,1042937043382835440,440497748324962912,2656180662033171012,4288925842917291576,944135806751258904,257110642002037792,1790045402991398814,357014309031378544,3123434081422763920,2059870218168352768,1636217097294448746,964191669055297940,1839553930051353672,858591772798539664,1394752751016191728,857651295458384784,2415707086469756352,331057875327228560,1706218939071786040,383672637919519650,4354055453360752412,928665849225544332,4220801454735297612,282078842276877714,1418906348239751560,1061943026430476320,620388765591108952,2147513442319102896,2507143173755974152,728026203825591216,3213255542301375326,1311048771074348432,2615460898248034112,5743004015361365064,3851462194046184944,2037208683877987158,892625884033375524,1772163380785726440,1880074350391745410,65617268565821148,8518121873174872,85169142577104320,851570666826097400,1685318197179372162,2285994130978788336,4299653860715179680,278717243329998616,509775527545328424,1563081548846915072,4518640380153598048,568874017685494754,3200395658353453476,5839665079292844408,4837530034760781408,327969924785579796,2661407496151396096,178196699735867400,5345141641915644000,118949442851500772,4757301711630963040,206174296720364892,171182065345093180,342315470794049620,477084619862766510,569571218473170048,949126385909864576,3736167625797812982,2129094671478369048,1225596527347202556,1030278797445466272,1238190317997459876,1503597856633456332,960062754762778680,2465007905023526912,888829178936207214,2491186792274097708,902167566236776860,2807565865035163176,613317172407728904,741612373312140644,4066019224651409760,5497268164769238624,497036714970709956,4257696108126553776,690743198362345296,3502713254350587732,1347009692912167146,3518300065775400192,74550457185929408,838573051295711520,1406958555179343530,1064968704804724020,359040557192156472,2475283063893196640,1202681077083861102,658844765297785296,2689506367804907616,2922130828602037760,1295152669619206944,3151704504713318790,1835382230295663696,303644772546300164,3469730360713469920,3981930794470684116,4241480839287715456,883477765550736384,455449763041362586,66591005593382270,1065303812242725440,34516365767163064,2760914513370775360,1674152677332679440,1034889267792895872,182020348376208928,4191576558189130912,499306072258729512,4992346410220386720,728996310714055232,2844264915716571130,709786000449891008,958654375722492384,261141075719180752,154074616152529996,1320450474162359760,259222016717777516,31478155605867072,39342058538488440,2360185361476696800,423004011271310592,528679250188377120,683479362142201728,2462732303678273430,3604044358513020636,379488791380101312,3711820175438377812,2597087811325727818,479796994810489720,552430780050875648,1071970526708894376,3464989890755688428,3441235691229532896,2139755082243457680,2438852891427468792,1730760316413398676,3161773330064563520,4648582432701239976,36781855807717332,326902878758572480,408569911411199200,649746616001837496,1852190108602956304,762391402316369156,1767070590831147960,449640205024165680,254859242693417782,1846884500625212754,1433745495980770736,2546445627820848180,2505893767854129420,1877494262169722352,1661285791419354432,2326039912397902848,89213933143429512,1338016451749365960,199739234666340824,403709977377695928,88717225964294598,2661133644741569580,3075258682905980928,3774030651270747840,4534667826270902046,538769634635093022,983674507122373664,3187404613109411592,1032331014893863416,3049261576697427924,3011584218320560896,4187577279301400512,97158803962461612,658941504250446124,508855194008834040,1855598385142140804,954660159016167842,562726874245636296,1135855990268448904,1018720679890769856,1320193003733206750,2412977150836610656,1567644942363430296,385261507809074624,2889044186930145840,1641561058879224510,157555417139808800,440945364272901912,753710389212558016,3015054297887357260,1062408085607892016,94390828171194568,1821318018038631684,1898343613561456432,2384426033018377848,802926133241245056,1765136593621054654,4815922041044306416,524116215540411256,433419333776540888,3095404588343778200,2177187291097650290,2071928796627163136,130925316269172352,15423120591636226,771044418004186300,2112145285877096512,506846774690866176,1235301471467854452,570395673859705512,297350314323994304,1886523244883486496,1626542548894255878,2121820291006570176,793246406294878592,411327783358915848,379584732206162256,948824281374543480,557472633579123808,472146605044708448,2685022908553371828,93069826622870832,581602050687317400,1577051415454534356,474007736143005444,1832779488545508552,4047139802809749504,2996592225044321440,2342799629236694502,277727605299836620,1666123709262132720,460043878879173056,144134355996913898,673120606318657856,2869215253759540224,842491659535042608,1053194585684290112,706997977622230208,1238270971986592860,3979953254392366356,3591486915898088328,1318766495577962290,189537952773281952,1248196994798499008,4048782666943817348,65273165141073934,87056259132604860,696348749773870560,3764298678468796832,260051170450515822,364260250413305664,4249084345502464160,2857583925889183888,398566957920316290,356344321679153952,3588722088123654664,464293024789049064,2063223969718508480,337503083212579584,838442297921004544,1746043928803753362,152991261975686264,1147267219174467960,195648299034736968,1086776527829639800,2182611756817664624,1360497623650102336,173716694242590688,3908055489616588140,4887432843876591804,2559371453879620016,982266351514094040,1442556102203037834,757404163941548708,1869825697677046200,1077853254824547808,657697361057449752,504796727357836760,4406768665887114324,4838986313809562592,1436357760266840616,860818752456773180,2560332291035981120,458200088975504512,136565040917188716,1365450787268973960,380827510887343556,19090106778140944,381746305351742240,44076847480670994,1175210682656954240,413322090213359488,1213652696082855994,4245909859664606736,301445093756277452,1473636268983587352,2485761004474247370,5014716657230828322,4749406773563781504,1869637311088588544,1783963384029842392,96472938374304588,482294033344491480,2062536323080715620,1726282406207975480,606354493443631380,4100736213822097024,176870151469670784,1018886715785342888,29214751984028884,292104682235173040,1211184545896803024,1833355932884045388,922893575998279392,792682310286108512,189709414437702016,31596868305993858,526537186653310100,848686396060494744,3303321326556599712,2237152289555816654,107927170979030700,2697783046096710000,1109554516315515648,4462854067422910480,4988718820336171932,4155988818973566848,1205769611366507264,2334834577982602620,1656304365392636052,1501341494613604224,4338153894802573832,3305319841005723636,2943086402599386456,3088314744574852632,1173312820987984872,148971280184206092,1985991500685249120,577127341084568744,1045361941140579712,106831861268594784,3738564745043059680,1974716710864377792,159357889289333620,2045927137579455312,557893085974835300,1995556975786102176,346769595533989376,2705107745528295120,756902725181022390,181239213149395416,402694446951588960,547415975303926248,470566511693658496,3305920504904677296,3046464086382115968,152235811157402032,680436510122465870,665386163887762464,484018231849485076,1866191173942631448,2340115337959594832,853276644634798592,2595976900905478160,196513999846567288,460619478433040290,1484765573840510660,1418586211320016968,2881312586655790672,3853938145087546800,1800972595150846048,135943583732979184,560206905850808440,3973948821205017136,2411258324139429648,2086859966108530620,433734016914539352,4185180423633543348,2964404219826401664,1770596478119195160,2363035781906118512,1386864657896450724,1844300884199855116,863959848110611728,1363166546414478764,159792227377378556,353072385573944624,3644700439807271936,457929492687401952,2962523084558778846,1999680727719054144,71079654783329088,1184485406466113600,4532710790869854894,63041913018445888,61937276032488472,265406123271426060,789787939817113362,589725899911591712,927512100003049248,4098469838569566642,1240236533843810364,408512143028230384,900179024120971280,5029144817029531848,16813092581745072,21013246646978280,1890911487105824400,1918883631612121488,4301474268074418384,1245830375722132704,2592767987258492832,3607004802804502584,3891639508095320982,4840286470619602688,1418217871575607332,3508975845795653406,907871557192847520,3460527655982642784,1546268648683596032,300091784403834952,1179313268490723618,577369160122486784,410820559877653968,3264733745390973968,1472083940250481184,1759645002025909440,2084837429195470152,1008282428625411016,93888739469406408,1602465255761100380,340922124360025740,1036334769834993508,711224039342760948,516734508685171848,448441023032534336,1555056480446128664,907001294942675720,1157391554562931408,458518730172033128,1760997484290114872,730280776738283226,388303952159067168,720447467869591488,2551130531300383254,3300033934672179516,2911235872703106700,2171142529338112288,1235655766963428940,44268538988779056,393439396996869120,3442080870598809600,3014572252200535390,1932010159415121512,1033964685563844424,965678233833918752,1698747206606695518,239429996951314412,3487758877169362752,1902522660760130248,1788551399091794988,279250464801520464,946157146979458692,695658944482471620,1261702008800451728,1734117550003580560,393005885881539000,1442221510675647744,559068478616179086,289263524894589570,2313761948561988960,759597087089632284,518351489373921532,882650779722499774,193969250274628992,1292934725831898880,161740610285049210,1946514577583770040,209414890694394632,252595477997740948,283831369881518256,287728276500687486,1381919187017870176,2324317426864121280,1161363782129487216,478657055419186090,344067609806188012,2250630002592643560,145945730209790704,233584064886361652,2220039555203410944,283811504929278144,2128266896515567560,1452845690743802730,555519372567198732,394913804030861076,438727241684682180,203942432271758956,1630236677069102368,3228254961782276608,363816310261101196,5210962923848024070,1706392949842777416,2781797187979913656,914124644550418548,5410782633726274896,3567867377411548176,1654442198456433536,1172496436809746230,4093387229791785584,1143940265751514840,2730725372555227896,1377656603764430990,2186891473836905556,284051993579691680,796683828564062208,2697513977516861594,765952070328324256,588741054457678052,461723749764125912,2391681484294419790,1026875529770788308,2041984075180023296,339854688740867904,523067473380090626,1414939890452174832,1469043557732802660,21391928193384632,427774069511155120,311093304002304838,521324650610786880,212948566883082160,1277498696791261620,2419927301461370288,1712024710560536892,685451669437045092,3212777823045252602,660144909089158196,775804785348090000,305386208560245728,2793761431536042828,63463352814124350,186060386609045228,2126083252981629760,904426692776364416,875357280986070476,1106933892453519336,73718111727245440,884483644507484640,777860318494531716,327166740157905088,3370590378913959232,2851819923921923020,240248168812297858,4652405435319975424,2122502324814304464,3021643743763322340,1278669256483755724,55422968893988768,346341128958387400,258816902097414258,2307411736786267398,277833018634681312,1415161901374611712,3340851239485117512,917010705242674032,4863017960754327468,1114467172505680944,970830250070385264,16770130934045944,191629590326389760,958002710198105600,4053226331804220634,1373748837881040712,2452500056221219320,2286545941360997680,2708328400116966032,2889376076126471600,4115341799300922120,3496914560100736512,278383478309163524,731800664846699616,32730485530472184,654510326392979040,855643736800470824,197967773339194488,3958754114572408320,936565692196633856,1700380386548216406,234276836211412554,531755345395407468,2445302126796030680,377458944315320112,231529022376635538,1543292138688531360,1275100636239885312,3488664631737741876,1807699330481037028,1195323543768912096,1505674672101117336,788282933486682272,1464994081290827214,422619993223504128,27109292994003192,722804424887915360,1807148035228727076,8240832688375840,20598944076381200,720853227509051000,427823603415921106,590014089503459208,430758787048980736,3768564981570951380,3999092390165844552,599911027435812648,3564353341947342864,3175023473794759668,1446863296794756876,128379801889396224,1140979727162775040,1346426082163330392,1766287951960141064,1264318995109269288,2747678653027508364,100673511488872420,2516453576664345500,1610893503565181472,4504012571687742288,1422046685173645412,462511406929161236,2050197796317449872,979099237872253848,1587948242243992740,247736611036358348,631317557763622912,947998825502969880,97703043672871626,2265826622059740444,1266232414800748304,45787016967337232,457800135548565520,1636345497566493966,581258569342769784,329353654183016064,2352166078783188300,2570201324544838810,2113599524978354256,1060982810057242280,2591092163055087580,1584961169000875872,1867414375226326080,1171945043835486336,1344844583868539740,2087172832534176576,1180950930741674848,2102008473665877616,1896780319659180144,2237387967604515992,1517164910897427736,2627538992747302256,340468489055972992,1015984211554012248,303517545928060912,302415386905987320,1511844922509039300,795850287307071624,266080302124538048,274414059543183776,1432420327822920672,10516267114304784,184006414033241520,788477803643109600,1949652107720321728,52907876937640088,4231979847318494720,2615305864627306240,4179956156173539504,1898501998619124392,3462659357500143384,3293154228499451872,4895827844055604344,492315959011658748,225278666165417664,3738796516166768448,1524618394221468966,645005030792388216,1755257212804562740,385404769114765848,95339821894833764,1435081924145659944,83263231882731264,1456882183082000640,1789923519293474772,73032477423676620,486808179611986400,57938625562321264,1158593957849315360,3647303745824515112,1841490790245853184,1344171060267214296,325559708544052362,1152725652096176200,508204794892646616,671332627016445472,3124833869609890480,347339387087085776,4065854493483800640,677727985002577664,3819651787821813930,284541698074766226,355766651085957756,13863703019920992,69307811270539920,923961435672988800,1598900586132589344,2960153111405363440,1182596659062012116,1169599392444125492,4165172406251998624,3302413203529601336,3452955732162276252,2580357166100315508,958197559545163728,828017671587817088,2986823754530532,9954539158167240,49764995841212400,3483010724197956000,495314839240049312,112905607231262664,2152605743060974144,324677092728792040,469653332925011312,1760927283208771260,555571714518361804,969610916117312656,440488414575530916,312655117632146512,1172275019773082160,735072689110750592,271801764318626632,1434800350094030112,121622457890666460,486414400108827120,443374242126455424,298968192866936212,1896451179877761024,1929455659762461000,3010037107498528848,1140031444634070480,1539015424785951084,2093880176812470280,594727891921683882,504553657969870754,792860036608850736,577358490331371008,1332331396199338020,311202929481996496,1024172162318699640,1591592936976151536,50398266157938776,377928247508353740,419779680818091040,1258578450209679160,1330227597885924192,2924790891089113752,1046287624122936096,2844230964945191640,3218165197435856304,3493638972277247472,2641932377110752192,112820902987520,6768200519129400,22557156273574000,676609326807960000,2163559667009132624,258657516278261156,480872709290934272,263783182917030336,293046761753865120,4682970288227707072,2890917031919415590,2535689024632112980,3451503616765761384,639277698500330232,2138992521620207120,2977885987154843472,3425791414058367120,2346127671186742016,49614644920678110,385831472212895800,4959916238930562000,1712080944136399802,738905387201516276,2352665492656624080,236492938622353392,1050915595619678240,2596045866210480744,545980984526419088,597405057227396292,1428234153977164548,172200576780438832,2152170813515816800,1291517116022862144,800575316869307316,1995959205937012224,1913001263319685056,1885559667401681180,358823607985692548,433024508853561380,2542438519584156864,3438213785853636496,2205567709651313928,705967451001241968,10317806835404472,618971492090927520,3140094782218966754,2028387722815420090,1119998866952063744,2490093427485043408,555062806757519424,68447045702764524,1026544798351219320,2550554376219877300,3988522193176711692,3209740792758959598,74059568785138112,1110275770980025608,1266913620133906152,301158863595289284,342368149595329312,1031251409997969400,3024888631080736392,780239924268529712,3305658618193516928,317266689774010560,106772481192405484,2668892894805711700,545810526919677140,4085406282080942048,2762969859223128408,4860781194391340526,1228627318696234912,13679337653069896,957403138441065260,1242305074119439992,1648886029573908580,2382200295319763640,3429947975767540584,1041048784201393792,1132523975378092416,3072886630517117568,2903808324921437952,1014723723275540080,290911321150783468,108750860684132940,241630534857679400,99396984300422616,993813325855620480,2020123753661964288,2832303470355736860,716995317473221728,952280728883478372,842534026125854940,1976117971079441456,2186074579932495336,1154574243819014600,4592992267053053696,1074348860267825116,505671278881754622,4235294750259794176,462921432159178340,3131392640901405426,114637087461393288,764126644670146560,591809058272492560,114528016524993456,2290198712124671040,3320562389653951968,678522227502470008,1520700557999306310,3168550980884162692,3902537416915493184,2106466439797957888,2607881408580498432,752880053191021340,2743886082004528608,665180718768361040,2550385359654448920,1470737998613806944,2048868984079385216,370641455763053760,3242599690677990300,49500599188865552,2227174481737314720,1029447666702170784,5078886687371962476,1851768204282114664,178711482304172272,1021046765045381120,251362874221050424,850981024031620512,3618223653916646748,4559814356191372416,2626162770423915870,314723342317034616,1272106919857985472,1188353739439468056,4109194333091347456,1621614267350873424,2122295175435285036,243561069092056352,104060404590563442,1040438954116263660,191654856542135168,1437183316439295360,699338670128521416,2551396645421946084,1656500952507135868,649145213067189816,1182138027989137648,2977547846481764136,2650909884428604000,1216976881523742792,313321511754960254,2237655154491283100,1858756084074889936,192377134310536536,273971967552138968,224499781105924812,549840330255672056,3114248193411615072,51874952128136368,1815334486123798640,608917557983945248,367958057822455240,1113264285208162254,93077863118110728,2512150960945298624,1424262590021263104,878245241696425224,1950881286173247970,1891261206390266816,785134705322604480,1282824165033460596,1665583240440099492,491435471308298608,1384444613266445568,106532038273870116,2130301067202851760,881850559480260552,592243142573549720,43342394919500788,866709616636244080,2044730145978078432,3337904477589385200,1293795028587457914,1930826267120654628,735745269705043400,1036384192760481344,2180841201434756728,1600183816702555740,3106215442337760128,3257028408822557824,873628490074219992,2006243160235658030,137099179790503620,1096618137466578720,2790122815348026528,882141800984395632,411161116947409696,778274465205006384,957606491643763728,4127596932065256396,113034721976856624,1506888475374574720,2141128178191130232,793789611776680820,4059909350152567056,1602421998537872976,1604261934828754138,60237132532664724,1606066262943742080,2434315062041198688,613723825168230630,3086928722206094922,225579144676923648,250603322881949440,947284534950634272,894465088846056936,426670010022360316,1190028928946360496,982805326943653150,1892005385373405008,1743212313318394496,3522318537815931168,2571040196027187960,43796580139727526,2627373004060175280,3318678586260546016,1294309438655050034,301309298828258852,748890141274003456,2790530208301341056,186229662622854472,2922733419569849648,1816030457835337184,996034035755706768,2463290452801569950,2017206668516604740,309387108916071328,1665853808185796736,3482280167679261018,3831987479522359296,2164013138708328704,891177309734263968,2512843558776665170,1525041681915513636,9497812898557632,213666387629531760,1898950984877179200,815464336027298776,255761591432366376,2557203947904044880,1882847055726339612,433990348943981984,785928069491406128,4376485112517394432,2783358909827756806,156269146084253310,624975802395156240,307903473644419060,787562254606496910,744667041952690696,2067622687507145856,271584321978858304,1044100131450304698,240978251581039336,1376796314330316160,528235496806235968,390843905937304344,829132049051829484,1044623963248570840,1206892618790339568,175062195628064724,2192028224840781502,2249125442760257460,3629807242047293580,100215733164157614,2201679589591801030,4245003588932250768,1344513872825190816,3337998614381445492,1532296671660792294,279904566159420020,3918029907560188280,1094131719750048076,842752781755784492,1148746172173111456,473504769839175200,809656815968205002,211953966995283744,353199400667516480,1014554530976664912,68305254549078806,292689375676957140,415357249374222272,465446831047123536,87119504138816828,1556051122100330830,625667170482906280,329518330357090260,3974339848804791760,982549713219884632,1310500637204582304,1810134924898554688,356559545819328852,3055728672294732720,60813910562345988,392835238734990688,4418678893426342740,2194050699646778280,3337198302837375536,2384542947698882688,1690049107072153890,1416469044519364906,1393184327217222064,266269139636308288,1934016294377115036,474471953820619118,560890811709415776,14762478056518720,590403085868371600,2883490505402622752,2324944371524601384,1411657400703104896,1657874031522337188,1189118783762703514,241455656691651744,2414163486311395920,3176911804388502768,410934409943140880,1324428671779846620,1264175295500574744,2849007397667572458,382162368391295350,1446247071473676576,1475488079833893888,3152598308164590588,330059746429589592,3764476389622512424,372649732193731508,1951179294111819920,64565156459785284,537955193808933600,2080258408885870304,1197487949225359908,1316083467450823288,4101444473949814560,641003942512080420,1542283455786856848,383918787455444528,3358740734208551440,1789291643792286080,248873414888648396,1346366602207389920,947203227001469856,1492921116104384960,1703170130572434160,2792470970902312428,1313250502263141888,525734020561708056,269319498648874206,1429803252517292484,1000948631702591664,76843006919478576,512202877729502880,1556514427765171572,273687710003615264,783676439646804576,1791951844096563408,330791766055394306,3247576226395805640,3034866273785765636,1854092958832650488,1686934018732746784,2248707548678393680,670695281895930768,962079503150461810,1064314487242845272,3152513947995250328,501576453475892256,567014318712241148,293908515190307320,1642639144017829464,506163260534876544,124286962906348424,1242665628364479280,2778317128883589280,648929774666758144,1037749256385248664,1570688507417435406,37830038702157376,3404144169135652320,948769537310534392,1335831494002335072,229184467037430744,1309410262289213760,3111913315369933860,2058129596724740406,585836686076165328,2575589059823661648,761396918480141370,1611350176891091406,2504223675350689704,321387639100306132,3238443307727372150,675510628506392196,463371212106024192,1029544260707745280,596552009293218342,678219720019690252,371778481860872576,1519137578901054128,500709305202529696,498555743497142672,369274495237967160,378561433071709888,245327117767806746,514009605313405288,2618871192586598208,2687526337797160272,177841259470583344,340456237473379482,1016312325490796544,193229579633917152,2575969157008128320,2391117505889150350,792478655240827632,751903231456467192,628102417235699328,3319667460853431548,1077866466977514336,1224421000435438208,322508061676255290,4382653472543026170,1468188774461304168,4115709583932364416,218574749335407318,4895282905859972322,4117767010113224832,447177942032017296,95969398836789352,3358373211722644360,846519165173705856,1216826925525101436,1608357539327128058,780834086656581972,203496827965277616,452140288123363840,75687159937458264,421353460960438444,936962372680620104,1584635440251275880,879510310461682220,31161540206880148,623127495684977920,1937436442444638600,393235121826978718,16325474163429466,326455329039162320,3250056146421409584,3061147415887889796,1373466227766057866,1635441036059770040,9121469195352576,91199550201352320,759870073200272000,2152120497013330920,3939490123410665056,97543443504528616,1462908592700282280,1827667588440666112,1302603023884617504,4800271222620689598,2625950168342278284,126942330766399080,1523054697268295520,1453967654728185632,1492365479818595824,469612338115444496,2090946179906378496,1573142021387003508,445616739070442688,398971561793122472,1827707123614850740,1986897127565419760,520304184190813554,847101591838814208,3096404611987035216,553858906939170268,452568634848807120,139527002056221624,465012500146357840,467849737762233792,2375286952149033460,1241333462805630048,1031151996028106544,371363116351184944,925270878619594952,438705764084870232,1516045079646153056,1081461135641234008,1602275977727657814,4216774033849050576,1065074275763198064,1212295202876918928,975598515530765130,17865498908683776,238166863234519040,436658098398957168,25431736132606510,254274862915497200,3050788385348659200,1102154831456006770,256837933216704504,855983295649729760,1993918118398836912,743083755841969308,475263078385395216,3025686890693384832,921461601998682440,670981934086175166,77987864461312948,240277357903966716,1469097813135324144,2618333721765119232,1914962061497449770,510050832593217656,2236333348795711536,657366260874847528,159747915863741556,4791634293082156560,1425673043660633964,3986152149489545772,722980386048006288,895938343462412768,609311382807657264,1664311770728850104,393268374858612422,1326743175402948576,399095632721332764,2660190995534564520,654337168475334680,699375588575469936,1083376651410937344,771488197989720184,632429802430367564,3325698462766236340,3167450342515606056,227184193612554808,986631545177125824,636788292630287872,2589992870178940720,348256767612134794,523903170633605152,3309245445102869776,1304305344519917376,445961984641158528,168383688253771408,210444190952931760,4461273364292320464,790657017436560036,2210763338443349136,2812969104255663696,1784594412263747280,175302454018665116,1313666055972836838,776771885483039488,676733916370509160,282603567285729872,597680220347779800,423673402618732208,2944127161373463864,182873023123947108,1138031829307990218,444261089551178376,493540159333847680,862414119783129326,651200235325329248,122390695757208940,1223700365289783800,930136884651212448,858412782137849380,170086471357672512,1700577443583033120,1437936389270737230,619393507819004670,3242493086674689652,3262656643792717752,1693911542909787184,4000775710513485872,200122338111293416,401154941170709456,1672792915237394652,122201690144226250,935187347928934464,4433549421220427592,260400603759892476,1654646636734613144,1630526322597281088,397682373552575296,1953899234914122110,1445963075613206192,420786702510885656,3549652627261431236,1688597850505758108,1077635806205264810,2377185872188024320,499160503822060288,205364137814283994,2292160318373530630,662602854411669904,495247521995844128,1226462341013055804,1422111700116643302,4140133429410701312,1183718428571685048,456265296643631748,944053080020062104,1534609233175117176,1014073454992544964,1567180247798086272,1101078950663949858,1460843673818383008,572549858586597024,847638442823648444,1052447972515955036,4414967408375266572,1212326375502340476,573968786911105504,1101333722307614250,416909553126978080,608079300290523824,1568566561573994360,858188854335908888,55275458180208336,1105321010786475840,350689400526627330,331714696319762136,47513471437237392,1900215202490357760,2076458532308076928,2158158778985818190,172818504249833936,335388746443702756,1460137119062182016,1198655785452223510,2553818965126333632,1568893175943325760,376463555912518298,475165741850314578,452299151047455852,2258673472498557120,294608927218053808,1536536463374606050,1304158468761980280,253293943751036864,1903339292698207116,26389121065911520,158307686455221120,1946517447792528,19461849284450160,437816793708685800,486379977976656000,488681342415091296,1008983373526426704,203251252902257684,2937583542137930712,315156779285927208,2614520084324666960,1968837149667342152,744498427909132384,1414111367031080480,1584106425817538480,402228918521375798,2047471798154133624,2320367060529596736,475404076299751128,95086128246751656,2139071429537400960,550157835616698496,620964785885389650,1148680775664733584,678009829943083016,719214582486618768,2677599225416792232,701450429325032660,3226866836867667648,3935004001443231264,1403492824068645184,1627379864272170594,1644401356890780124,503602895225446256,1684008041653074816,16856684496120848,337075805520197120,907713736173452096,173753966910363008,2759403343435248368,614060617832534912,1808797194964948720,1669068152117517660,1777955888607965748,405430883845268568,2349144142143330432,1012435748048206696,2632512903397573176,1833143508682923024,1404266995708989204,1495318818740476044,279997240882455698,186861854697946080,1203958131239763744,3181183355000445680,1600015824972354510,265939058627956608,855942623592833064,382353099652667304,169599088007127982,781679581142559888,1554852974299933824,1008938850010665392,2449975278382566746,1853410072098364480,510161562657696348,227408597643481410,2273693707530986700,377907953523914816,525795106773248928,817340491682026896,719474262322445700,1417160777753860272,87074704087425852,870596683040004060,1418057926501933444,1857376965813394144,960836768950450304,729979411628712108,1586035971700093368,1615467576746752224,2755385448941415096,3895999988044160268,1021399093337327376,1001643154074327296,3132432193273721856,1671489553236948564,376879050665483700,2283415065430547412,292524317279417472,3817348963432020828,708875044071759808,2936086800676499392,338357410626470256,3382988077945292580,765629367972198252,2148189259268534976,1250169754331537984,58161902851399888,436138662873693480,834244337789064384,76595569240171488,2297468609983108080,1922142471906487392,143860982699774844,3625536032492753808,2423838441535828524,3327657722968627664,18914617243736976,567340015031101440,2372077350628054146,2562828845395118328,2352869167367299140,143154714007298300,2290077516860442400,2222269559918498640,193487492636022560,384488047279263112,456112204150478148,214148913120514564,75460385365276864,2143335016650413628,2529049648472630048,575046485855560548,122774497453064056,1564809442647804416,408045548309361086,1876987383953543992,352732459219660436,1007631548804810480,1988177127019124870,2573742253869435558,412670652033870048,1034507063311503792,1070442618530427948,2147026963992800022,325260069281441448,325415754757633968,494409055392487116,2164143187392800642,13536083682519424,203005837517560320,3044556308796357600,2369247747762987296,2338479407506802040,2083192561128744044,2835498189105698550,4068671324104049202,408754672829517696,2940957086665858512,554504852921039068,1834965101671431210,3982961382731328096,2140609716302993208,4381999386615190584,1242945169663342170,3029086535205426416,1330617313862209152,1322371865766655424,569682533594125690,794633513009644224,219049789832209168,209308567510006764,925094776865138810,2499778987758431104,299570270428957056,2995178149800582720,762663621480063772,455822418654788088,922597640339524256,2067083192186451712,169533122659754630,1210738641231514000,2246548270686163968,325238819696642124,91476079192293558,3628911981961088028,1809318320368880272,1298502016434277908,1193149394889767640,1367053700221277696,351397634340350192,3586086721652609312,1582962646552513824,1528075378616498768,1227262127425511260,824257827677930856,74708229591165584,1120426558061455680,650178692617460928,758111739335448144,1312291218581084406,293910802485387672,2335646457863637720,1294574396457710808,533287461055351968,1988232058440920448,4021505053008706224,392232064762511736,2850819033125875216,3552373277474770672,2949662564042103048,1334921418620604584,1980403792956017464,284264012898032040,2087411290643966560,1752004684816784440,1551868359920880660,312467105890693872,85803909259072732,612777021773734300,208838444528767644,387629537803497472,319118164462858264,4102224082030085940,2470462441140949640,739676444772295576,287490637127632376,421954632040111144,1426850889328755072,125560747824937296,361017868303997616,754609578438336192,2188005447251819916,771504495517114016,2743290248195341896,36768835804128232,643340895408730820,1236508695004344336,610852925498653872,688232985232140264,1406337156141545082,979187218551675864,2369947309048930716,1391627029587330144,3092993202551791812,1478807943612128384,309848951974576896,62957581778673012,944196499637249940,451423044761469984,351702033088427112,1450690685146094292,859003017283759014,2244927489205026080,3132012911000653456,2162993467174286280,570048181469837504,2600486781530574560,1104798583824894880,1521455398883701952,1549932068022682904,684211029395226096,2754674363303097984,1211301299737254306,12446964428649540,199116072273540480,1990807144784889600,1887635913209480672,548105539105929102,2205788027453144176,1023523226589799936,1630883430472404888,798786571589939000,2916626566332636168,988394010125556972,822363161347737096,898216424715966440,1860516482571899264,313012836594960384,1006019459557240284,559245001038121220,338155382689617864,486361988067851616,1894266313887861108,565767915087743424,2201751798077450560,2304056168529419232,2265653746445884858,446226044407416112,1557161128340582128,864785337194559552,1386115315372907784,206688844045948836,3099779805019003920,867696999876075712,2278109772031586472,735595901909153532,4015180755388769472,450396298022636448,2468776753980489040,3415184772017178704,1040986044627267968,97465046387169720,947317571592597772,1375130769852288684,866761223587461384,771883334543321560,3199576565756168766,207429439667973768,163800175606684344,1091805925747480320,957135592239995586,1518449055526747456,1989762543100916140,3359842715254576124,1204873998714689032,41151709418036952,685739060139961600,3350526910109737488,1811485755010007216,1600580834156222568,342237565207655960,1708213402140952928,832614338319221304,2726942227088361604,2820887722443653688,78066051708697024,2731821981691610920,2059155768813437010,1037077138615812544,1496540698499864920,21308753377985632,213049303070250560,532527683039699200,1031605051666268880,1350993014182144476,2078278937564041888,433987119929608560,536385406454463072,2377300826436699636,478893862266649634,1245209697834957664,899387744984887424,1450635943166153460,829986899266115500,1208846521622129432,1414171153474518792,2213970154183878888,1058646825163843110,910662907090700288,2152378524591890448,570710755064208024,2727461888730117732,700452406477221156,2536943743781296164,2024862757701616380,1193068813014246072,24788109149900928,413060726642726400,2971455114918027114,326692359062959712,1755248341980426384,4024549106723582820,82831760788747278,709858496538730440,961671949472943520,3062082648089261944,412845038460520796,838252748123474040,1723053096684744372,3007712878442149332,676091977926333304,823904420739262184,1298370654617906944,1114059654118221824,2017799135703042720,80530940205801712,2798648304370972308,433095984028715328,910687303790328344,535990137190836490,672759935271967744,1735207097317592360,70583244037378410,141140952310223820,3817594046404485576,587619537964838624,471016273929221670,270324363055491654,711292418024780760,1593508641549666432,157711691548118368,1182623450106450480,2951667319144442472,968779632060161208,3686935451445604602,934808667222727752,321922840301581504,2811000231401627304,1016015207017013136,216603693583641546,1579231475605757888,17394500101296864,405798028644342880,439070129275903530,2317667356472389392,1683126477752467072,1649138596499924376,290889110475361110,2258164705916447900,565191117398009928,3154526094597734598,343771592068922712,736567607180043392,983481485601871648,37837551875025150,126102241651813500,420264369669410000,1942757823922317696,1290382206962474840,566364952343581664,2659536808282905320,1836727565110737520,484219404361914804,460626409755360884,1176967117046944248,15508151609033408,135671611808403160,1162687693644170400,2812653504826048608,2534867554422363912,2952730310909326640,530367345119507948,1642643186747533600,289404266536459752,2377393930321265310,2120926665704361156,561492082574769320,581048327562544128,4275152368728986628,1760401895994054790,402895521746563152,121004870169109696,302456936808997520,662732572842626692,1833814309384944768,1721628483042063384,4038328277278543314,858693270669551226,3263061424559159692,542936294728791496,1380943653333457650,2914485046657829190,2192391052750071712,622270609438080288,124885331029947168,2468860482797044812,614709295743896200,1057929921447250432,403149646202554384,153431192970517878,1363583070813233920,1954487110499655488,30042348914918130,800982524655360800,56684700897531408,1983600920353192560,3620985126944373990,1071272591266597024,2934847423755113856,1066191759579189376,2123177247558039150,415744021938757388,271572322525977648,862439348523012780,446970699046002410,703846168184163802,312719242891539456,2084412122881470720,310632207218266168,582847063235560004,29039706545060848,290343705595055840,2488202973747441600,1882855125718646576,2131635332981357760,2174900298437051280,1435646826148852044,1277686009115052282,768940524220344656,1820526721608344496,1747536845370601194,5569455196327748,278421500064875200,437840685252271056,1721455043311258794,367417654125418890,3265333138907022400,427257203818146016,1418240179362669208,556521848880807888,3109553485460527448,751281341251400704,2279815632901207630,425806700473475828,592475070836688984,393837117977460384,3937644581484618720,190033226359288284,1583317961403243200,1087997020643855168,1849353013049286060,754809139011180288,1321349045453359884,526484817908992032,352175264117064164,2205893439661749614,2083052231534749696,1756669242693076560,101324676984383216,1772854018572979160,752202749918457720,2327137432746369152,170209683955272608,1063613717889035800,608422924470947904,208061939398610752,627680873848781472,2733447059264084454,305396178721840192,340054646271403024,1108520035129196022,663395916448766388,1738392735666633984,209945137501082016,699687425680873740,3293993377081785728,831661398159892128,372443151116614660,730834525992185004,1774765302696305724,399491209925739520,2554725004283480896,1265544987798442624,2299053823230957728,2862904558107902280,3667064070353488288,1900786805995320446,320106972712104870,981752443976217888,3193677381489106176,1294501398750400576,364029142179754532,3074102556002191904,87039928760085168,145039574414301560,138438638751578958,615168396447283840,723972657729001016,78091970663466672,2423057657085960176,1291511635479450112,1266623123950701692,2633740757750449186,3771282022288233138,2959625609452690048,2858665329426409984,463557505883432868,3269063866092170272,1344171995520516240,2725459719531519780,498722207259117072,1852980142301698288,2861943622781949888,1372756942882655840,1086632179375132110,858439452585111834,18540617057678464,238334870861418240,1588602537023193600,2399475444657613290,1712773953705118320,1423232941057571280,3224209127053069498,2586642346145150032,378684008288127472,457070755385272668,1452155876181137490,154062378185907528,114395052468743088,1906227659053463600,95903874237022488,213079852063602720,230567783676961264,811539657209446688,776090327665930368,687717968833427336,1041556532431495896,208041057231068672,546965634601434552,2399217416948869836,1019851478566500760,570752360286812672,4405572956346898,352379773725580640,1761568562151526400,1249839683320501224,3528180595868201152,146773314334281934,140547831079425684,468404868541264760,1691773424572712344,884965292751394152,1157580754158198888,936401779816128192,448552382555436668,1599169987406773922,785595259494341296,1308108664067280912,105712807981269174,2113858812693271560,1721158976226295424,1830633143119623696,759708128754859110,1025195179978191180,875978116170740628,261664675626968832,2800799795514491554,1128011816918354740,3317045670940153536,766433960705507328,352754601671241672,581602231453528710,220176631971961552,316089264522171504,665872909724074344,92313924062993754,2768895777812535360,1000834270618874944,1030791529029381630,419532456714680442,642625101639609620,2062783681056762624,1005962679281442974,178747288122939886,510610158163729120,1207909491385108320,660785035567570940,2668227607938227244,102326759243758496,41642114305816452,832684957199343480,3239184166652923328,1747110208185028608,376240138041318464,12160537074800352,75988987271987400,303898472601076800,781550428358473116,1424775732535730176,2988882346900010288,3623718928148337984,927964583152909344,2241458475405100608,2748180835257185940,724720439426929336,1374362980315367952,313105147088330668,160336463402386018,396868666015110016,445947430495763392,535783515097569204,2290671117588765036,668068750028999592,1646355794523909576,1215070245278603190,2161345134520386724,846167085297454416,31119188456572352,1400097704993657640,307340010673035172,539902444158189328,1661555025992328896,834728134089029376,2189114441817620240,881461288340192240,1087456214682783816,715761807554249988,312465373279634462,2278162448277228352,1823292659404260128,1444197074266100504,2079754648000931244,406077866366675664,498114219216147072,1836499622662954522,2058014942543696430,580441719702078528,431347277563963104,588268449738428368,1618417879751319972,1479986607991507840,3096019631473604248,1647124749110388058,216513364119310160,1352950577799277000,1903745575355825100,616395545788602692,415647202602767226,876777972674073056,807599441300297792,321354858441479352,1066408185769581330,1926277407115275928,3871883203739895780,1116956249337409362,1563719639187259840,1029387117247327776,1285131966041280504,1776909474118091592,1877739119498060406,1455934349687306320,2367462068756029224,237652609241048428,534715222428340290,130771243254935192,1143459634469650944,425102110742044224,1229375683771126668,439934155634338232,1166493158381006740,132875719180581510,759144428499567600,378883920232579072,11068504437412136,995974548273878580,363778745031845416,1296016414506992028,160404977113228484,1306404806672032788,2963406376036518012,533372064817036392,1177065047739164688,3458721760846270128,1048659545121701296,793687615433698132,1265139336153735168,1314922695733507640,2909817133368807330,18763402334042048,281396975932292640,7965082231239354,477813110224974120,2012636955139950216,645157668151695260,3320065954814733576,34216413791632896,85524584858065920,427540678042828800,530009638138058856,3235868861800108352,363623873298934912,1663116305707395376,18096095176497274,1447408891283511520,2149062583876597280,160793588762268856,916228650685694024,2261962314125927220,1166818442347356372,1287515770741713936,2161393214976830352,2661017323034572896,1014186781776142728,835400981799057408,505680827549112016,2108564495762861070,246042683824328300,100323436267197108,334346905524621060,939525456645347138,1701410412728420352,773685262320551568,1865064600625411160,326313946378709440,583716195571982676,683878271871905136,448142678595436808,2048116205812578720,1739337431702394112,1150586363683396640,41201203492655490,274621554008321800,8236555120667636,11764230301020280,470478133530826400,524109760603345416,2349913210597937600,1271301941172814656,1312480472022500508,1803168593999679140,1640160990364215952,3137423491768011992,374130928770109654,543569286669710328,3147290842838467304,1953061653615196880,257499506600818236,885064321351584930,859215081286171904,974247520556916144,229820367109136552,356695056850448706,1667084968074392832,137251470253229808,10701649471062610,128394848476625640,1497648878420808400,1595205014364922320,37352596256695454,213401917927229360,471935657076437424,2653998214846542336,539498330643188168,2637142475924472912,1829156112139639608,322182134384193984,208460050640109170,1667355794341226480,731140385916728736,716541274235892784,3239854207564497744,837696619973221592,209019082433508088,137700225807531632,32423545077705172,648344503975805680,260553511623335336,2032896623526905760,646270960504286406,2732437446592580384,488082540206521176,175493296583902700,2773327844945720986,3054856820094669492,1351549057176765984,1326004243279196688,694260321360209556,1216459580953404088,1307739043623448064,620623731439568184,129984184737058288,2373467712856299864,1019021305912485024,233276180493994272,73606432084480750,284268872527292154,796523180051280672,2121646696805542760,539955565839389802,3119237639548535582,788587748733811712,1665978220170360880,1044435812037424932,1162653890048040234,267902834353919576,424663287446712540,1327783910536761846,94096922933024804,159114798495067968,1988545020108091200,2615893605479487424,671767296976413680,885943132094949264,1513175231127016656,1459287632753775328,48424798508554272,968305850928798720,858742821201585400,1104866523634027854,343651095369291824,2457094441053185544,401267717275333664,365536191104520702,291654400540266424,1679415858272756112,626794346713565184,586499773942191376,836399329165552166,2080032008624698464,1115993056337603808,882647418621639276,417911690672619020,1936375669186099680,856876112564360304,665793257546597968,639597349110384004,366855185290996584,653450037157999184,289740980857834558,1051219862037590560,2490521242571541248,2562012972964345152,966682207929225736,1612486356267547530,12000790838687088,139981602981739120,1399539801381139600,1053545348874058920,318788855592626624,118153127830384208,1150831996588588272,588813997755711636,703406531704363136,3460433530797438048,2453671977604148304,1165083292049233752,1250875579437223424,29965142898095328,266304154631892960,332814355871111400,1648774252785833824,2218099393236789824,488292349209287980,680763862130823136,1620906520977603328,379981958156384184,2532711417700298280,638081123828615922,2419817168051003448,680731906805047528,1726630123474319748,1452449971106929424,2360807292137079552,1409143879930594080,1197302598754075296,812814842349443010,291803344332562596,501951830980607232,2301092711869547120,1893372268295477808,2940617005449799104,316562156335564048,501159940036535236,2287056660735812880,1368346529511783024,718247378039906624,62351369042014104,415593175581814880,303780336704703264,1131209070816468096,1790502475246362176,87159415064615480,653565572610799800,3654983431973896416,222171917567766114,2678397088698122526,1913864200188003072,271772509395112296,82419641357946048,1030040315940535200,870387944215087248,1975460403113623616,1546732112629282740,366769010832866830,1176278467019457744,2959784918715470496,250713381708855618,297792422553166970,1308997351035154624,1445570964656992992,162350304034534384,811589494889252560,255565951834744752,410476894632814856,935106390429136786,62048007882987110,372213672960643080,358690224199256072,298969246433826840,628432553337798088,2240091924705566568,285820209884476320,1074756699392465880,1938248717886739720,707118575947260672,26855151498666304,134248884785102560,88807966518103672,1997779207582782720,80643447716001440,403136485096479400,2309974910298248112,2209779018211273320,998440551160994448,691131419035852452,379854738169156298,1988555573122815312,1232835740191089216,1490827409705431120,1389448545621891728,1202691710157730404,355267221298980648,306616586365707252,650953953501254334,3738381469167677472,621409504053676488,2540946278560634464,862659544439718096,1412562400629030784,2387400030258555312,48501325689909768,727373637367279560,1880554669629951040,323277701026120960,303178449313716506,2435597486205281664,850095223452396236,2036693579418630432,998618344529973006,1338703050001936970,162798687492218112,422163609142663968,725393098464938848,460412071066599288,1104254784298308860,198114733205333280,742780503129699900,2051110893045752510,933574886544033408,342796792790469024,134992766566533334,123778191184529298,1237532154225352440,1003354494033742820,2365488218993751972,117987604227051156,131070866462419520,25423788717696376,145249447025582320,1452201020456362400,1029340864571393024,1315468934570579488,1354046345552617912,1016696631818791686,1716933630689847720,1944359235659179040,1228303750553169948,180999794160044814,497607694622621128,1380880061489463860,926636226565658784,240964070594177726,2139578726286882240,617538660337385640,643222913664597896,1241237021674158166,74212600003490736,2225926744697406240,478145664590899136,1997101767751262730,151944916992908760,72887538691228112,2362581408591121328,1410904424512822304,242853988898361344,347741412199127048,6141689761142388,368426560977775440,724169313138663104,236694939853368624,1424485844181199656,896249906906900364,914058404870353624,73975005394859412,164355479308697320,389348511475261754,9385347367116264,31278127390963840,312717637029841400,619014340887488604,1342689021746856704,2679716480583703652,374215578076382948,288925532131966248,1199372351964503808,2866665729627384048,1701990569129187024,402226878280391764,989642190256394948,1083535597317969324,341796401925530328,401279200961661134,540263525324548256,466754904977558144,1221862603893065456,1648534381999885114,1822395347304049980,2728420083563804136,115661931059968812,385461031384587480,1859880129890598144,692409216193462976,155597412740958496,222236588550658880,513423150106297620,2733178084099070436,29481890855603494,294758610122598820,2224878483514277856,1092726004226415104,624560358820454576,547573810003889012,979480814395128096,2417564874294818276,89119610133759504,1559273733849401640,335131332168586240,3272684358575368128,1402005097956698964,776875680971661160,2057044565614177944,144037377153515740,311364831336110156,817116960658186734,1398836864180870208,2433047912674041168,953032049090290904,78116166396832018,2473773315982756452,339293672382473448,1655325953371482168,1554078314419063456,466366530343545088,782092355269827680,1479095459441863368,1978199535599894580,1848015103824323304,183375009647750424,505857996612886336,1233318569255377452,2791215003361752448,76590740750985216,2714990323791375568,409021925263251142,253573363136349788,404648241948749180,422850361326258196,2050339384189335220,2404709407419663456,700676270250283392,1897232964659129688,1093805281811895324,844478966011860648,2842629683430212416,149972200291562936,1118538126528522910,332635385751059160,1033747247469395968,204025484861025576,1019916788781411960,3904074440769792,52043573769287680,260164109533619200,1128714368218784930,404207580112221840,74007498396287512,315652179836617702,1679351642131449798,507549033670594872,1258380959899753788,1135396251351017718,3538995614341496604,117712568090388264,988711715288274816,1650236811720014670,2012569002174881748,3508550467436055636,614866734034098308,158823777899133760,2858235535430271360,427733726955504256,187640930432651200,234502527480129500,922583221953172920,1732724872856048340,234437501877681816,462621709849095580,1403424713587072610,2520925128443476352,1168409314830932064,2324568086184029364,448689477697948188,229352646004858428,1712241185797581180,295549519077620376,70753765288873074,1714511122488416352,327618159444130016,650513384111351644,2720344320429733206,437758437646078248,616490420736238984,402064908259711986,614897942649889104,1737625065529790360,646371584470040832,1413224667549022344,2012093248430711600,3293269171441119840,331236447538951788,737587403777966876,1298309967741369744,2124113432640655904,278325132327693816,524610536901460464,102665759557652964,2052886734789553440,311898470826232640,1223738059893512436,360646581142387708,748294975509718176,396558088024955920,952567557506967670,1821184009044020832,180081046079199940,620229700681405080,402181244230871284,1504051586805591564,1648229710196870080,1754965440712428040,959548326675504552,1029595318053196518,583771444513302136,1246165383736251828,1552950948917005032,705453323083377876,1017727527967960512,426132693872992512,110846722337661332,544987394667633288,326501458379210556,252719141619061744,147100292207994412,1890892833282222840,93714625102017920,1070799589528873600,172891901747744732,239504882497232256,1795909552243182720,294360915394988176,318840473236810834,1889979321457468038,1592082740045925888,2907962125330481856,628981518999094028,686880604168550874,414422076741020600,3251977476156132672,2227788676641675378,269050871907595754,1162513716593101824,546676815310783936,1901351387109975008,1486717019053544950,63037028824215164,1717148090112432672,342252688720137650,1882595486239434162,787467378340654464,1843667616242869248,996222042259308228,2488880745410258436,2886995160507034948,1168093955529105252,159568517692152058,2107153055443080732,582391613264305728,282720626376658624,1699359861929964380,581365577510083912,8922014382767640,35680519540992480,535094725848051600,508789217170591136,239284365223532608,897126696549536160,654475041831107938,537145750698060160,493803562783664784,1604106757025942800,1732571292313835916,814189937018230864,1053018612742832112,612504876851462544,1556100778571782592,518124452929452138,601520450113287744,1355789328075015664,348413520684904752,410500828423346796,86967630284745168,22301891136853472,1337829710750810760,671590167476426520,149462482320277240,2390892314050065280,415734860143243496,1506945246064619984,745300128296716800,107938486178860064,1535049966026942328,619191516943630484,184221560470665816,1620373784008318048,1519231475196981712,96293261632919546,702315913924196320,513595116529942704,610106761889266356,1334410640246025510,407115232994958528,3138896960046030464,681947821875637122,1100368086854008350,592411219856229440,1747732143379299784,242757412649823904,2773779306647687680,1486551093649417984,1524664766139565456,896600436177548410,102242841024860692,506857521384025880,1747856323742957568,910238206708330104,167179535476088538,33902193964153288,2372646975877356080,690585245286452928,1329943121909477456,311228328461014272,877247348653630016,2507448133995523128,2662589983813496608,348275942880386976,1030429036953331944,746761122724902372,101690782456186336,508345143599562880,183386011787501504,100412272175558348,469402406245088610,490526878652172928,7075580805186564,70740654568902780,707255014328682600,2550627897531633280,3012810605243284248,348617826099454352,226434310829967696,317354341272657368,1459327030937235824,2734442729930634996,242281864236480954,3488484855915522360,1922468660373217824,712612444152244930,1431132355762379424,77651609418802300,998163401546097000,296004430108640708,115122394116331294,2369486466091515904,1080302038904707584,1187040981849959574,503594857545899910,1171158983755077984,2954710218221759376,292657938807714304,1462974801099159040,13566421767506672,67817506076278880,2181303293263588368,1177475833375143744,853718544055907552,1796968655606008416,409329859696000236,149349859313031078,1671897465934381728,714729159225682944,3019795989430552848,117961181595426896,370370903240285112,316282233697723020,1368655751347426812,1297218096571259550,1014068463210758592,367608990524216320,2317627343891757142,474735544160158536,3485339258266399716,1907138947090567904,1826529356425813850,122818458286394724,1432572174136698560,87886217792214360,585781375784044200,211967211072672244,2280714792673555008,115520689289182632,2792894760206026784,535361261576750672,779215869609528048,723436313613413504,1187429271688577568,1843374056336513880,64357633559076708,241125006400126156,799208656343792580,2255642836617017988,140138112969877296,1561507058589874368,687915088753450168,1571648584296983976,472437302114465240,1060810459982935260,646104902430721032,73224002895232672,366040477414290560,1797951709174723584,2169551715853400370,28354897283275136,212615494384690560,1062846301026172800,1341668147960633024,147504860405181552,272763300499980096,2912704545863696544,95372113784557344,2860540513853106240,3379896344046526452,1068569957229846876,2280606883352169666,455552842920905504,508078961462274696,656228112256378592,1239286001344017516,532790527212586494,1594319781221257896,1037965321998161088,527310592940423904,719684756879204916,2865863181338976,57304751045257920,572922387508538400,2114979535891925658,354907318116285620,2146226402480549808,1545464638555821792,2199746104341632784,1073115471654605952,3496182940455289344,298302181007978234,1554081571903845936,1047960920329697544,2459379596054699136,574544786839150708,691405869797424656,205010527046918016,1141761067503017248,489564595332783726,2412964165880735696,1164621804541552460,341583057292007300,1890709096627891488,1882946514609035450,381098415190846736,2533983363807958272,2714762565800977874,305215249220367098,1916187321047467916,3207697405742707488,1170472611699659184,663376594988962388,1155038871844370688,508654454389917264,659710565165855328,128143564089053968,1711174718182012132,542237426943840256,1408492297484098470,362637261541648912,57421745707046936,1605627726413406624,402468746384225416,102994169116343490,1716191575470297000,2151275764462216064,633972936383934952,62733088118006848,548793579856471040,777653184923066704,2666154000249300272,173419022083243988,1239093451419326464,3281359736996888148,753163315453706384,152308179210393232,1018798379143682424,240884819231738016,258411130166468664,218815090467340692,364611274895209160,299356947409343772,1469414751009112488,389508445233607350,819120905903127632,382716603443868512,2562431701154817186,647808490041372338,1108485839776856704,822195682870724624,446082132184648050,846509357148025856,1087693424408088896,3250946538518766336,380116018229455690,2571345936627494782,693820224784689820,1048347464947600580,937249694480893430,161489884970606746,362935050802637312,490893819039290688,221361686410019302,1011853380932364840,532197580035670416,1236985309975137504,716288920315909290,719020944908729112,186476108165431616,298304682736304448,2833379648218058608,56724824957109582,1512325796412149440,1626682395854670080,620180802753991280,67119705106206158,1400730189336026480,130267762552198128,2344194836472885606,1561417869007213392,1809224654347851832,241229796921625496,277924494966158768,608726978983909588,934543834464883032,2301710547988834752,1625200563811723670,130115117371752036,393859092315123396,859541960183945976,1315986759066933990,2644216981791736464,1264739925840203904,320623508644124400,136239840295106604,323908682039260030,2068079633424960288,500134525937870304,664722614127751056,740791511684418656,560813975926524384,741116014933763088,91991445238909248,499100562136588538,2919365534832366348,135970121921138648,1361614221390490886,11083868123418810,221627736596030400,738593706219144000,1605025190810535312,598832615680653330,1387241866614852660,180196149413387604,212920866852684202,1720567060522549110,723228596253289888,129292985717549248,785324941846050732,588358209475505144,2165340809816583196,1918593827423733060,354196908581793138,478610711239038768,634198560160484256,721228620236984160,2051547053552180512,980176597008836528,526394105793938656,1411235214888166884,137119925419870344,1599372676140148280,2833049644284882880,401914201024346016,1419226899127221310,1099173826097462256,1082982173973993540,2137274895833505180,122268304310261648,451554337867668564,1652820041891777200,1114357443329255440,2116673575527596190,1637913531538106390,390297604459015152,212158449108176480,1590829415670174600,2739139029356279456,3113910294935031648,1913264441812039680,2557951222909064598,969644341391050170,69445748595250160,173575150593419800,994312196335355040,203963821473865110,295775126415181056,2430324311895123336,13310828982254258,1064625463445153120,1437365146148307104,1573401501062087184,642327368666454744,432497963974998216,1166259634817569184,1396818287178649632,232060309443516288,2030067688204748640,876305308833952112,2485399639753025100,654247083239574896,261630288934296360,702900024412352560,774167343198936456,1999495447956096944,1257639552630172894,1871526283464774888,760467500906932464,2541718337545116282,770443669302043992,146995910875469880,816458408558336000,740381582386463136,2059628267249920276,1626072635567735784,118400989050936876,13232978555774866,926097784350607540,1075047773586900672,533981187105299616,9186024038688728,114799158908182100,1147730179355122000,62984203925440944,524748799071782600,1152501361530830928,1520665524058574264,269918606479594800,327834103316498802,2913416399527796320,1757947664529267872,890106615071643060,2759657093138607246,239432515087735908,1595852396997183360,8758698475187864,62547844971367100,750402699679700400,112067747460804212,2170298041105647744,1420609875321083538,133083126055551070,386499381222926992,148105212927858560,740356676258313400,874336071176650362,1837969418662736044,2824926639041263616,123199388580913526,288764996154172518,411063423117428224,489855389936448600,956599665492087904,366353496948316332,464794001040801064,389508038446430512,713734379552242104,272757917849852188,747132785361681192,74719329823545344,1847448078783902530,2079266819064862798,1969121949608177784,1840568998209277784,365666891594029852,785815609217458422,2853678659184790528,695791459752977632,1622060042057496132,224727308843185008,925116878634879580,1030475853337855512,182790014179616792,160928197347470028,155452489037018112,850938962142278016,578934785112111876,2354332260506754726,359486366620127104,422122701651352936,924520797762674280,282463311633063480,189170236678980512,40705512439835880,542614988903809200,230125623201296658,294282508652745696,690987414125260392,78181240209194706,1302719830768333300,2486668442402111632,1067657446605032544,1399888415501102540,1234908645555468366,1061599729646987552,286953710394934188,1275054944257449680,1345982717859997112,358295200073816880,687889589565977960,2279328477858279522,2593046774943049824,2369129728793057316,90620525793017448,301998460140221880,30209148942029408,1057075235017316480,95472790314955008,159084433867078160,875903827455097272,1132987418634291560,240828315921320904,2407724467865245080,192104371932010434,1871407055675403904,317179678549957160,1046118984180330264,19559021322396882,260726375754746720,837725454759424836,1668746520191709918,1823667145678023820,1485093924930037240,729923004813854176,601712524159758236,65270109323990536,652549230642836960,1728861629773337856,2234065492898962384,764120867979855176,420025264391555200,921149878527982896,99401916146342376,754094952379911684,1145261655343674208,1590642969523456940,851720978435297712,1646878187932202220,148705629358642728,3940451668659968,39395321539570040,23342041457765846,700097767202031960,999332381538529416,2956724111743499552,2180895489865652844,606391515356888128,142493772031159392,1369554171910209896,567835638634688988,413379586695433344,1526999784760494100,333078651392398610,18698842157343544,233680823138232400,783550452516795008,1203824052600245960,1153627675093645752,539120849501199420,224469463872373328,2885359655781222480,1274432900811856240,672098266505814464,210763833592617880,211594108280482648,1122921475514321742,130367642076941144,595673062672251228,720941943530292450,3035261208389633874,298080606923356920,456192061194037952,440352793103230992,1829982909601443470,1050338959526609844,1344644544040945588,747037644611997330,855301524356179296,861884864551793152,1590183312252781000,969759618155042832,664389591481788228,73583377149722832,367830247820227920,1128664709583833754,768154242921321690,138862606901688608,982821031477396176,687299967565780744,138363381349041598,2560121850782950452,280531424028500452,725639212193763042,1554578860696914528,148063406671311552,1973712683646439680,815908352157737748,318606482829911668,912015734528163272,1030274149276487780,1863719958563753680,959713609492274392,2474601871754013624,771145948516916992,102040076514427750,580369163303918304,1734260133638293660,553102464685500804,97985045168704650,783694746338103600,951965464121473760,532441838080899536,665391274876961964,15833195238165942,949766525221574160,252147608171330368,1178287529621257846,2043578968870474692,521497284158668704,1131192940984977152,1935476609372453028,948548740099969404,1517540558965388256,2088212324935514064,837627373207425592,831807164661440610,1149066840993478160,357183499988836416,405297803430680408,2297387516872440832,2318751338971259164,423288989654196276,322659257122054566,1050405924710085744,476336690496480016,1033667078172385280,765862706510802870,83478992365830670,500754612672162840,1544035781718489696,234121082198442012,1671894735349015800,173709665068133376,579710781689804672,14696685489317328,220397677193658960,1468967155111958400,559049436293724624,1062611071923418472,255140482012314868,1152537135259928208,1038186756934644240,352373454708917330,2406141973504132318,379410768559380536,559461038845558920,1688335231229542656,2459361201839440400,1711490519756289888,696987500668570440,824934153165834216,1824366879238350096,956060021013127296,1033605435568223268,547923021618273648,649861818564574252,33083784026304072,882022713914224640,23614048489563062,944335370802375440,408014102194104272,1944997453076706720,1652598979293814272,1678872464465658826,1461708231758890752,2537256423106539504,612951918345638284,1744490968309448244,1155354385393185120,75521518796247104,94379200534840040,1133535509953554660,116469210121988592,717138311087135616,359733065521869728,62494914368831600,234299506873551000,389921485393958544,2626984218970842606,112507909852735752,1842758310874947984,1036725519803244960,710594080961722192,1212676265478188616,2119205981573776816,1182510450739382016,520698868075912048,724626145121855858,1605016353179477440,1771194577677914880,1982479358375887644,557935903458121644,216430902261841024,98360960148245216,737528897149295160,959020852348427268,345770269043538688,1507049378732796528,36857759725319876,1473953658189735520,374093382606950280,1337473741347383780,183999859791072054,183594273397865850,1537487070074473392,220100654629014096,135996034043241072,1586235818222699280,536241600905836896,824449958879738868,1834170486612566354,808411476039243132,282338519215738096,3051298986590637432,1378990184138488026,1177927882061729820,569941988843083740,508080374767389840,413511337770586524,591180864454292540,486130883587440832,1374031593470146752,550964542258389140,278713454288615654,353624320500537696,793321006481629164,173873344504343472,1295579175002776352,508496828946696864,1691417901106338496,2429207767243849130,580232759911434628,675630925972899624,177374253116218912,632284607348386314,986066712771328360,415015142997238000,932565232447739280,1146151588624292528,352911655246187968,531283488185866776,1624132537314769008,127765891247816250,441335234010767124,248786888137715712,2798168381185006080,2047993908938054896,879467036157872768,87353640770461864,254854156942666236,438174524885298096,324437365102506864,756579130277249568,804936216507648960,2586534894255934314,254698586362022192,2283862998811563808,91913774333099152,217041473937202748,291536856948537954,2914653607116491520,734520902831132616,573757333066098920,861454995789769578,256098779946375744,324079638020249196,146293150073665990,2047601044022849420,619123344190160160,939875472672932880,648867544497328550,1735754027688574586,154607772702208020,2782255447356457320,882486945233797848,290230607096225536,106495818888027008,366094057048806384,335778715208163640,281964195551319328,39905383506644112,531940683986508160,2263288384053170768,343199397941026668,130158636826758688,2927847119633130240,231235981110730948,331714816381685658,181134305689656396,510725884152106104,810022638980963954,450392773887566792,408352521375286880,723918091409823168,1301716348369430448,235730532109445884,1353596359606622680,1914182088561605548,2712622972828622022,2106048410229311604,1022138584468917184,992418164156639616,993806533560152130,251793524506159690,796094729379121716,762173737233782848,170924110492128350,2575446436476301024,889096174343867664,2650861184838695136,864800607509031840,1374642286061379296,1595626895814209740,223822723681368588,321902187319171584,951681410824957930,346297982203069680,6993218193696640,69914807991914800,1048461516768846000,56936582335864140,1138448549089714800,679115791985706840,315980084191687916,258334807300498240,171366096178369976,2330147917947032988,1337554981306615428,1114398830683238688,636829577385820944,483875125560501444,1349918785665369542,205106655443796680,328116608420799120,542194307967916674,255851709533374710,164166181300513472,1058702161349897792,1426121433632204028,1562206811801835960,200584297738229328,2578296922831974960,228681430265391152,112234833597347882,640071867227965732,681736657351899696,846639145510232464,338137083901094232,660663937034135832,1000861122300429824,401328108823315128,2072163794812850214,1712838921366127744,281450343263156808,631410185636786610,1642958984314988886,582840146316736512,696222799312693504,56831481435624980,284086153048384700,308383951877416944,5753048660697552,86274075975375960,1150032300597585600,489129956527866976,60405580310748288,603904091008843680,1287964174945821192,583030784256467184,2143766541730142364,331265883745770668,722398246743644022,116478728826786144,194082379639616880,1412981250760256460,2163592518063454912,137421287714913384,228977811385788280,490909127204369048,140313192577639788,184351030361371008,1023914281776665600,5624699054896892,168698426548161720,666229765269598236,180062334117060096,401914046242608760,1299307646676163616,1516403284939286528,393243597639887280,1606479739602666180,900676882106260146,286110493743647416,874085171870783712,497164791843907240,2210222151601384844,104938913020831064,64280110855836512,1606596197891616100,488916361172336154,2194877405048289472,303211706830011792,2694532652275934080,320992862484360586,490702053547016304,2256200965181854592,455018284813323232,737078318231453436,1069993271494327660,781555839829503424,205171701667747156,24432348986230276,488522952611928640,1456908109236790784,388836053147597384,871551693935785304,924802084797098496,1150960278112839648,1854481315679478640,884590142870173296,503409074765748736,473544525578015976,1845409557158165664,1999082956656731988,1293355148435778688,1889348577326704368,31584761890725440,63153434620837760,295036728002302104,2336465414033162784,1211268688028367510,624261764075818878,85837840761642816,858159476288315520,519664628278719888,1458097649769423390,230241765207875168,865311217221084816,998979813653854360,1602394260007576350,1303358520501062508,1112107785994135320,532061892812592030,880464105301342230,1848671304188158464,265641973941286016,2633125417772116848,2225490335322843984,104166680959799192,264516296085512212,389987623507351194,691897886574401962,319611564393874944,1125264589592307696,204414926046664190,157938710281647904,121615510188506712,2466625189773650868,349298591430565860,279506260381495356,931448409142241760,922004776814160816,215234519369363874,2151792389214811980,172493085833688132,1208310967015915180,591017894514066194,1602924399861895656,1044166399375359600,322825942684454832,282758927190131084,1490720086242033912,2930928792545683152,2370698104739792364,1839934853270230164,224913082004693682,170133488262959104,1303183476940722048,803763782559002600,68324679060871168,1195373562747320320,48250198577076580,1355993389641240738,1617899552675740404,697501265801351200,550585712095416192,50632025112903224,1518568427207789040,1483351133355513996,527403142894575168,1300345888325000232,1629316317516165684,135958676050961312,162695616412429152,361452278229236080,1230390403220870640,1293217586279053584,516712665204660696,210654393176865330,331888013075722432,676651049942917248,1483387528248171776,1426275285699559750,402646914431925968,1226158935092997260,1147825284639010656,810446439780241628,1181343442710234482,318094276277449920,408680557747073472,133956545668182432,2008826255233118880,256581866227790712,261738661486963868,1569458950148259670,890550567493696070,956380415101005440,102069440120918176,181583037492737514,517885609112352390,501205993052662680,1427009583285459456,992956692194421850,315974795611658148,68620094082382536,239652792842863616,1197951606527607680,390082623402142422,105535869993070764,288044876939291664,258855400123955488,1916699296033623996,493513752315501216,175483345297432088,826412719185409650,1192487741073815508,73220171059087488,976013792282618880,301895291362303556,201738570873970708,450849500189045888,710248828528257408,565747708332786518,775058586552274440,976310948986002112,1247021602146740576,1267094365379265420,1502765085645788244,1993378030244559072,2325577959400575168,1812173059365929172,174410239684514148,661119276560591712,1246586884896960520,1281858474397046364,732240281610929184,812822872121665760,637911912614183936,440269438512547644,1000038431218376928,246523421472379320,429043566580193180,1248726543602406144,527819588278223216,61213442491812864,1631928974824529920,368813843755720624,1910340480649457948,400434675595281936,336077044335814032,98267570626052732,668428104852118104,101100229244986160,907186787175479520,1168017474008316180,7248272636590832,72463604932262720,231801200800470072,125459775004512388,607430387272153004,758135253316681344,2054382373602940696,179198103006329386,1023718569396164240,1190729435628494736,279541326542545296,371195309056499984,829615338180093768,137592435420929664,767732876658240192,831412817055318288,718107107916754380,1172814756881732864,530218776642482928,1406172268827232110,1916544196736281028,645849579889455872,4790108041956120,383107012709095200,628185257205896408,1701277334695229424,1836744927790353616,257950361693285280,1166368533886012044,141565465741281408,314506350113566720,862986583765775352,2768730875712424224,1122418243628361336,265915191298069740,92272273763927348,1686629054489802312,981973777569729024,210672289545536248,1101484946698166352,2102355353728007910,93511428134624332,2650650504368032656,254329687027062264,1578255869109572510,276406014741085544,613979032804943904,637826262235641060,948975931121413806,2003513214976952196,916393318170460584,1254201556663106338,1362429539412479930,273542168522702016,607709054321971840,166147016130054914,264507427270377480,46605373401624128,1630751768628122560,489772792124548170,210307685628293442,1401675950490547680,849797254619155712,640882542689054652,338876893383654858,1397202792125966624,1398606847902832140,2251395297808859104,269838501680215992,618769905077714944,2202931586060604672,422642181503263936,1034759815992329060,1474054865421356376,351225780300637060,921284229674726930,1534213345652121540,112939376666782176,1505453601714946560,1184874762456516040,544956512765236570,1251683402343734052,986673976284563904,2546803054718651898,888844664774629668,680729205106588704,554933585535228744,2140781937692734960,145246145680303332,1686652325353513152,2345190879003656160,346951503966812136,470648208972682048,283660556437248816,1239683477402497024,2005971471365457008,123873410981314670,247679919137051080,1341684836808736140,960804932851533336,74297337233916030,1237954229825048000,2158653790224327872,1422429191765152096,406233256620763740,1276211223566645184,1270073557365626752,98008990377230730,279949861525686600,424569136174782144,1416066046372166976,13710008537844930,137062924698905100,913505099278668000,2127617895623490944,147195662391277568,216095320980746984,2221479399876221696,266534429571752672,622963824521238144,1514437271268224920,621285634282421652,1331839017313465024,202449375583903476,449765196871782640,282608986246044760,1764353109922489632,147506661626449644,1310813522105565760,222837833495448780,703465177106960352,703075797688594374,932564840908452204,2129262303765772672,2069829225092142792,567256057574356410,1581726856223400624,520781651017995360,105303068510844852,936181228748149488,1875534730077190224,808109635516865560,345122330139468000,2107843115299462832,711169909383934980,352733166366563968,1859657972699520180,595098898587907056,581379048440867820,917092081960413504,345926945484973896,880471579443627752,199792004967863152,1747701341889352360,32974049926024368,879067097794317440,1504376833579185942,1072777615797817080,1825453925920814784,125439071461634356,94979128712167728,542588962986120960,465210652457498432,1864916171532706576,810253721753627770,501142560185540000,579019175300541312,36194907537518406,419285676788674192,643827591325538076,289889392857937616,808104902529916978,1360932948645495036,940523761687804632,943626661814947968,758035007482207014,168062075425754484,1005517215407310288,221972563989692360,947237132455561794,1072353068641501596,798526847268968784,1560302015049203328,806892210951915552,504618640831600236,899252484274295168,552932996920936632,611309694943976288,286064082336246866,727805253310326464,588739382268319744,175538941145872954,217915713928022490,82097924135619084,1094336135364192160,1945597851704735256,105966374971106118,605354485913963520,1141667848427819264,92156313514515698,9242132003524784,23098926122202160,346387835793814800,1879347996901679696,1835019592384448106,200590133751013696,504299489659869408,899515809234705180,549253677036659432,1489428954915316880,225222951412314884,333378505300541826,969301380812640730,626331815765470464,1143120957963612264,192043421296511376,349234787325975532,219324962980321380,281628517988664140,257997551061593962,1112924053223362144,342073340680357888,185651387464826240,164518520309907744,1918847637367759840,303703667489241888,2660566571174873556,215553875373196338,98285366883534152,245644827880015040,44835617251878336,896461905492054720,900331573686840592,1920242726445352428,37252096049057064,434486282900503540,92430156470334004,1188055315430451360,634428027953172096,1321860067925419854,1530285651883349064,743352442039997088,25978522285848048,519424890006066720,345130079296326752,210696543165634960,2605680303599168064,169870659367471298,1665303258829522770,103474779711324336,127049032389437988,967946763315870928,395166686164068,31604455749684480,157977884076979200,835099218125365914,108735666530389990,434820379196874320,426712054840428196,36038996610705984,60048093630752320,2688987410768073024,1643200094090434128,179225316874458722,1791748354896826060,448053745441655184,1443235309298891920,1587786009144772302,518004697131114460,547322930279796528,19265294665789536,962992924816813800,730985213241609912,143069536039639104,1430291341589627520,87027182048314830,1347505230232275560,1756968763723977216,2039570260672781304,661973039329692616,1238795271808502800,97730282226609960,1321318647558233324,356211590188429856,1746657427106814264,1073910717490374120,307892015542618752,213678842754736142,41472857290934718,346354661082208596,770892933518542524,707983925256050352,2474395810696898730,236669111678889344,585539038104766704,1912076422227674352,4457009101932340,35645943463128640,89089535874119200,294019704699039004,2297911421414883546,167376067825439088,1464005099835986560,41653803160373824,474129228608414808,874735540701245244,235496691513378444,1083466897644092216,119854880880435064,14620387182227344,125281882585649760,208743602657972600,12757956423300228,510172676310930240,391098435717194856,962327250395392602,373763977610072728,525460601205432672,1692703483685820288,754140973711521690,201583707692353360,2015260804122737600,442401937654186608,1734877290956871216,224911265889732298,1581495706606480128,1659626887431651600,610906227622882548,912296009641812754,838850276896243416,91693522615004544,916672409999725440,298691718457735260,1617984306327360832,1249181580814048960,406717087884184224,1222455602138892968,1081659892785911760,193311823423668144,1317543154123502054,337951065663439368,483854629668169376,489990915175452288,185198188989273824,1388586933629952240,505524454049597064,1033663253930725488,1255318667839677350,313304504240126664,861354456676730280,74819750121310208,1281397015767881536,396569817189585450,146581375805154616,581585915622473216,2385066431391430086,31952363020071416,479147124114718080,635179650653878224,512575084732140592,54251110022824832,498595424012698712,1336328702744282424,139608509555640930,1595064500933181600,1421679013748662176,55427381886283136,277056715534582960,963132204252280202,617963921800139304,118993203065046348,132176370977048020,152879943685391968,408922188402730080,487138338135431520,491902706300367390,648962510504519988,412369425843864792,159425134554009184,1394564979447075380,2186726916151687284,392338738241738112,213452016033477312,1740311934215744538,1491694642894899456,117927989062287096,91060195700557824,303445683940034560,566397191822475330,429972689960384256,1496054601428205888,632111698470022080,714882718559214856,1049443933342072604,237268170735524100,921098066005897130,808770705156557248,1125128428224693568,2216718599450838624,287165018533202992,2487462488275093416,468011717135944332,334958896426784820,2229291065971586358,804655943809352580,1135260597345328720,1050529637380626480,107745271610423944,615507144176624960,746785084409290080,265920928712754672,347833062779879008,24861075886497968,279605169789407280,66031287916694976,220039779071472660,361880355992090564,394839552852097360,1277893190251213488,336481960457234982,1542521334985571388,266282820944332608,354985640659426440,268286349067976336,190136743061791848,1224752882915808792,142776323649479376,1903124522844807360,474660536465433792,865053148501282496,1363241687679890928,550203299561462050,635027154572932992,966457009017638172,1490199852940567132,723981367730246532,297187555014329820,125686341935517504,418830908865911360,530026593885142164,23999584214043918,239925001360587480,762400621787454832,460930885372547764,125589982508315488,156941088967654880,1116963511765559040,758005225491767604,721099831804792776,826426518232519232,38150955624108624,671677254641860922,103180146712001506,527024158191885696,315640171064800064,994057196622393036,924679357701049160,126109011400965024,30327806308899724,36842734470762164,184159015051021660,934199465269588112,392242818436659456,1016236124744023536,265081311323944856,183374399790301448,64073509128695668,651266147570080536,1087807824211709916,535757708452388800,407292081397355808,198334434430242008,636059966618775846,1210323254561815212,1052024048054875240,836608617467963494,430334981585122908,48088632431208304,395162415261351168,2490832146474267408,1099150936530117870,1521010704708383084,192456352162095764,1137760013123407520,13600123337651216,1223645432231646720,687765394722817632,293870888033040864,176433203809779896,317436493420225224,1407724640736770720,467217367671163592,309883460557129692,934751050346533960,1246545809543642944,629219892769142612,107381231659872916,1275938913076409260,71421829683969904,892505127707846900,193299115209033832,980369448660285824,804419560931566464,648278480272503288,430753200911296340,373887596472232344,1472716850790490368,1404562487913527508,314021774984170820,1001482582538366160,2130676529781200640,695810151665883870,270035787167110588,533044854434798988,764361757505664256,1035446327088118722,91001161069637052,140257631289635712,2103230189203511760,197223291555955952,146969842935048058,71594900368949860,1254700999601129472,1197604468826047450,312060357898705008,539475511318930368,695521468706024832,128246243343144264,593667033798482456,357732525203355120,57742463244265188,178857626421622248,993352740379521200,182329529461130640,688905947516785216,154910720435216268,516212608968206360,153278948241277336,419932669854243936,1223445991212797072,139196772861972150,4640409352795760,69585014319100800,231879629491027000,584134090040729856,703689425259038540,19834152418156860,991406208699778500,248556886180649268,136965032884199392,1565334489234073824,920643226782566352,42783632174769428,1357855554833848476,249048623281287560,138205300358661484,550621189690239648,2374223444921489112,299032438454100192,791483355269251330,76119064628975172,1775569563554524080,204330666193053072,704041288091126742,1249556771958863004,8863725169426960,443050838610478000,58871376137640766,112188038584683984,885250429598653308,628438781508531952,582107678215300230,78854736327772764,656921615545576400,639563407703265024,1650975404095282736,971765730487135234,110070557663778400,275092025972582000,5485257988307730,109671505481683800,182729753326848000,360802599265625184,1418663059909201476,409409002866966460,764764165761655752,1602056254658647176,271414510467721784,261120178254467056,292405568465759216,93001492857179920,108835484734715978,1604275600001794356,1059028638255818780,815024371025325136,123873911522047302,1309657699607398956,267293786948007120,71579974207322712,169664336657710664,353287797711907416,172213990962560288,788486941987613260,1920460905048461490,1803459520816950992,148022640747865376,1756338547562178048,404084464884766926,529933271050806702,133206142673580592,243524913608718384,776760683051275584,1274726529498257802,513284084688402720,160501807899045504,1871940908673390240,1607470404009808338,1117259303985598104,1400253664308645024,596962533132952770,272798086110104646,95729380905939768,143933767435776336,673654289539468720,233987469251494448,86499996185807664,216182775842346360,1334773384576928170,1638509091775067162,882722485148755680,856857372852239136,458000907316249740,1336430552029038384,395572240154287872,476238017730000736,331548751458331632,152680768249813104,508777206041157760,812152876166256352,488969051955412488,6175304514204538,493870144795733440,392344516904137720,1475617088677348728,144262495437377352,823121018914676544,643730747198932848,2392172056037917674,2138742296814107754,225643468101705096,957672363537795312,2064035555774651984,976589777067419508,83316958825349920,666326819418810880,390794528159221732,65346055129778556,653255619022421520,65795599456280064,304833152589660110,590614824846922176,1012784127979844960,454023098531832312,1400607843345402800,435850366501342056,1038238218677218860,671657265792660032,188005752497356730,652450959973815444,94034133341769040,1692081570128405760,67226802735200772,784065655463943580,52816763714054016,261354211883885332,854608199012113736,28111998368642916,120441988838321280,675179443552620520,56397907212105690,751734686597307600,65332758675695888,816401500417316200,73888335774715448,517592340141933410,237690196653135928,2259390537519911712,957207046540199824,939743332528715932,45402850530875820,1059064396955293400,372758036217541260,50824151131337878,217748760008367840,782667567787699776,407495454226274008,896085209614094072,365369574405098088,158991920427192736,2138346065751092,42753339804043120,641096379245812800,153699005616022272,1756001740522018560,731668328106219504,82321336228729072,1645902944798901440,628818422813657622,1244321675359919290,1030473568838063232,360471905504641856,661671817443424788,291713085290180808,890653818192476656,239272289465182512,143171581045388144,694011438232865820,625080802711880928,1515710063386196832,319162582626797516,130270218829768472,1488326765665626880,86056325281060976,645216077836643340,454156889147890344,242094973910898416,298347266609493320,72114653515776704,196694660675948988,1057047302542090912,78210426782466300,893546984174772000,69476954459964128,1369322287836207744,990241618355990784,639376502103312540,175768719709667796,1561886996604704640,614172615489506140,732808954211013232,7423043310411804,185516430473793600,989804280518921448,168069857223008868,77035402854981448,124369520098107196,602689115135415672,1108241532417089244,70355379967581774,937769475810964160,7754882492389344,90444460066348780,645823512500479000,2009451403360748928,1544839003480183812,784335876907834080,67214766631139652,287970246275895360,904062539537395560,1502926335097594992,676971894269339256,543344533463610624,431452846611704260,195630436392170416,1002837029360802830,191986111052295592,427151675685460608,128728900446619312,566676767430295326,1008870710392372176,86259454632061424,260423941189975014,647800848236862502,1050881011235378624,1676143198837831360,145820992445660940,133857229531491544,306141014412880528,1495639908990559488,514321068558633834,836804300873702080,254164206654803872,1920705471839248384,578455495963491622,323157070587705396,190104828904055936,1425321682097949120,180949165881323154,532882148393297808,701210704692172896,140666823640018544,366248455552007910,967319412906825940,137403758299278388,816478158414975300,137431623176508878,91836291208625310,447286998221063928,1883488294094621760,299897603364497012,861070331053997830,1670890105891714464,129227489278714008,940008178691046416,573754831574098050,251985433519459584,1897935052332991232,650541986211243762,635359173526685304,298542313319634944,235645050339515192,415344817541311658,415121293073770920,585227445516680328,140243560101631744,383714452223725350,19906873330892520,99501630878497200,1456691097828981624,956968765941456926,473363912585065350,1467857079344429184,436993232442480832,75547997305264176,617777351538576710,219242333296306504,1123922333367472016,82221237348188932,121532213856727804,701246212010127168,1203885475014059040,879985047395027658,1215731194207378540,1358124446242974564,484831687048721880,145108059421188954,555976644376892010,409216816218712320,535501201217950728,445983656446747720,667558450373009090,214478662108745580,419173445014975488,150842734039737824,1744352718635632028,881571678393368416,1483649331026406144,623056793604556178,1202712848689654278,380354684177621100,19232292500018832,288388513454527080,915089201614602248,44553343562184352,1336155693648528480,643411685028946104,265893521129621696,580322610133086560,1336411218546841248,217573682010298336,666579916161570112,960727986877231776,286225687643421696,402766060157974604,59756556026129568,298683052830160320,1717595965926935864,198748517647445038,1873492166928241104,442241111199217440,1068475533953338944,338083901527630840,379207761207968504,1582624789673356256,1599487904545967268,108304013023876782,222370844512812892,338964543200199504,919409649742991232,131443337137182980,158251448731700792,172502005841130992,229210479328213432,1044272626589420452,1230639862984214450,1099326676813545520,1034751260950466640,471070185866356656,309945602678597456,554728287510987408,718370719695507700,581988212670070590,1806537926917891386,40614954966264224,203006377963948160,177747029717365632,588550653091564338,1353117664284161784,189058586721967328,1417461081107895480,1191057496186696866,678956338357250560,952299921533509224,339788600033531180,1107701065269507864,802004539096400444,782703673354850520,739714496107847148,322136062165433208,192676425904888488,1334787853668510528,3828408869794072,133948924644699640,956453856661052000,1305872790073944708,139779031174840382,1489543600789981350,884073692543012160,176725786870179872,195552932033580862,1396016375920886052,449615649569695056,280427620842322096,1554976177641216270,65770784425502226,438322769080065120,1913889774625975296,547682172921894294,644816369138551428,652569907907499176,1767132366074615052,7763021901654992,77603757914556640,387886487229990400,1348581841642829904,87795497871805948,970682827360841130,1142249544347053420,581018489407362412,578528242173238836,1615693433393222246,435534279331399456,781926277433985376,560919735233344704,363410491148535580,870841560227367456,676535980857908304,1368761472684745632,523731267709317756,472568348589121120,1713979417897788224,388467224164729656,1429120081981617564,1341258869319782812,639336942538511412,742230401692392752,1230348768435012016,558489374465725024,345032805721753760,817151571853515136,100682406071296368,252452721806621168,236005737948426664,1469141471205648492,1433055985326300744,828720360432339456,679182019006604960,15919780683179724,132619096678603900,23211305159752572,1624230779381677320,287225399286566988,1817649682751367920,96863678749982536,8919592500231552,133747652015933040,1114178480302782000,56177234878063908,237628706511351504,137038564437398372,1623368076964664576,505182558211309440,372907771199144704,1351237412511171084,510780136710784668,1162843303989417372,801150888961697940,1517032781359795854,5117162622212996,76730794082067120,15497584550898816,309844026116396520,868683879185823456,377240709949759968,288928929002819700,686877140535752264,110911014064600920,1330468956969684480,427255453523159352,1181593221656099256,694082789206767300,199340342167314824,554774043970978832,449775251537975292,193912215837189036,504855478401143856,249174546951608096,464520045734100630,270131045074185456,883011452560461912,360749033368611264,1298086526606357168,575859539482310496,50976051498316288,636977646462332800,83020490755367130,347613075598296834,413160651053734096,811491586416990960,1370801081186417244,336921098364269808,86143170050245712,1337283046252155744,121527684386453488,796381461019301544,281031973724401000,1312576281223684680,423858120622208464,389258956816276176,246082220513738112,218887351316144816,1028971396165494348,98716427490107544,161710923261253184,404134896983502880,385554290749220544,720943539401027670,84500721212861008,680837843065225360,1264964777003299890,463073004762968586,254896972367925952,663590899454298060,27579312347067096,183797101519111520,2013597648550887984,935314047196109632,908026270527733392,453410433266058738,496246429321524960,257093905577721520,87621957671278104,811762024662375208,746199281595825360,413924101365989760,246524376676809996,352682406320245260,947202584955622912,66070150757184600,110077806960235500,488989184242893072,223798516641278656,1166039143574101992,373948119484578090,379888967480198050,230855605133129392,436950731460484928,470787565565324184,166644565012429084,61330122137004048,511185245353006672,148547686456550290,381846597543170412,1357230761669302784,318302564546439020,170180809816118192,210280581668716386,9444330946012880,94409552944439600,188751594479318600,152298347313321408,84563154725851504,1901990008615004280,20673296977251286,1653271438914436640,207720968342714848,438006438847297536,501757112564521890,600713794553314208,274118648414362780,759068351514832608,443420278540806294,174873366750690384,717009408692011008,342522101428362128,91959099921849202,225208937550708118,1019244457977304728,159682609267388376,419292852375207384,742705689950489544,661799929040602560,1209584591394043824,758634270835833560,453812879058717204,171406080209534688,1384895544002432812,1073814036799043808,950115187489082450,229575208896141184,113359481458506192,851102057643021056,511316683373033982,756364881959732976,160718977127613008,911960639375104144,1907080992245444346,51781768908761528,58589845447815168,760873344707501304,604468113682336750,186434297274688740,325694672008280768,72457420027405374,86911616697197194,744686206343103360,385675492256159520,292511010267746088,149820918141272340,354637785754850860,187608492867404384,5986263531948826,59840846317075420,1274806072726417872,233988814624838560,23188464199290744,115900062459241320,113263328448099960,188703363700688200,577385865180656424,557772529134097836,263913195188754496,1344209831667689688,770235168443261184,292929668122065260,100462064775949856,95485179385392624,414601918168822632,51589167069334944,386777102298575040,953366589000887360,459115487881346840,66726745798152048,889363782763738880,1025942672044946640,26272785867928908,1050525773221420320,1087716140038277760,10546640436945728,131784575810729800,224662506410370036,296708821425376392,255648725763840864,297754029366375820,1072360993857113216,635676705399594120,618602425133016688,414102700597851892,207378068048699530,946612212187937260,363777726999368672,25950573506968032,432349961097246400,379070292902549024,478639332980772880,231181787948573696,898395547604073764,319732756086022200,131700190539294140,310822197544788176,820084293424419030,626156637568353288,182951244349055488,22431837309002870,403623458705224980,400490033137112,16013661354706880,280135126722362800,352683532985177108,592274701731271392,1667000169328111632,255619825222864352,384141604483512408,802158397442520672,1102052649415755100,1366338536252616038,834387053016137340,752249026101065528,913756060415048480,311607081971504872,1778244843479118128,1310196598676786184,1619841798025936092,77972248326530768,1558863101757330880,1186638427148568576,139105479065648552,404476511130674024,267045455031708696,2971286823785112,29701758415840560,600903880504552688,257151765977985678,1727722132810302888,293232208466001792,957897457473022332,39640699303193916,699851218552705168,200483606913803668,13917181087995538,278239182004469080,324457212760052480,413818556875050208,405677936545217330,1191252498380227888,988288761842026176,410745343513681808,289226737566178776,123291665436232884,1047619571918127040,831784029948115520,389878739544386456,470624372249242540,183063097261708128,1021257957063835824,1302705197302110096,269193659956990566,110565762948132288,184206687793532960,770456633023957824,395152903910104756,10200524508391712,50983336385004320,764460760397703600,713357435980798440,278408081948301072,180670117992628992,111118434491274352,58966537122269614,152159109810918224,1886970306167544024,906908976390202898,1015647103426897950,197206569488099808,4850243485723152,169694032581764460,169868282505184522,172190175716723164,139985942705639220,558477360270706338,1109012162346500832,106477504097785408,1164689234811047808,1403940735387048544,289705186175909028,48027868517209072,91262497120536144,65519649208851852,9992786160649872,12486213755433120,249628898502859200,327157606811128660,708111392115583764,675319932307911100,686679758234486856,458602150582655936,448345342544597190,1245641634475921344,1033077124251753728,1050386166788375950,931913385089449884,284684473509339484,571889347996967316,536935559614156716,505384834190717248,1801555902329113728,243141122135206176,1413079980048759872,211983736264790560,416955987108705304,880712632040666424,1410598610332280768,251675047405594176,817207001669603296,972177384984058512,33800370562350420,56312233350943700,801464831313601104,191092832460131616,339858941444228668,56494523046711692,1224556688838672288,372970756764928560,928370466039433518,1048723304520238728,70370312548307616,413390559471348228,755364244872375296,532966782967039536,66506337042565056,237630887553233792,480683488056140760,670668355809099050,547040089521603216,1629665743942044936,104649112987191048,1743498180966421656,38793023759381056,1551117943392983680,67687467949048494,38332700064960798,894081707620832920,5991174406236760,83843787350240680,718381146876367200,945746732307402760,76962232432267136,796689325409386836,328276689925787664,983079143223051072,1012256558975823000,1220945792261433732,769299249944189268,46248176561070336,115575247103171520,97709321557419130,785813941261417464,246364843197935952,1195063837074237864,722459343682584784,116604298088081608,1285994740401406336,651447465266930720,37245684948153704,484611210828807426,139900186474116692,674016587845494080,506104514518579032,5619960247143424,42133135020195840,421165685873971200,142165557677809036,802122833879832460,667047924995672340,443348191362242592,218062218943125396,163903295457178840,999491410103021160,893223540214497408,547390191242228720,500550074302270662,411635610909443856,695202020735112912,673205162923417860,151934341633211020,264521215409859296,478502837619530752,56690342086291286,894607613851594368,88436568522273132,774434318637130164,51956288274567448,460982390019268698,95248478020361248,832548227920654336,443494779216388710,145853618364055994,1408051519719912,14074921024241040,164142148177505400,106394511808750184,290831057970805280,498502277712020352,3105040636348560,43453259347871520,248205429747187200,1850977799920739448,954282029826109790,217904670780083230,107645952274760320,16470942254346272,246965497013362380,1417316429575451062,163425137298006556,1496945188556391072,45667479927356616,228246067941080280,979316685518325840,56146439687447720,148785734782784304,265507236734999532,60422685262236864,672092587060909364,136161297329733956,1135651072969122948,188583193167647152,318238618724693280,136663607446439262,585465841316397060,715122867169339356,199920133685591864,453827460619234842,228232954826203182,581034684836839168,102516735091229424,170792391534714420,137306656748180816,576287033292043808,212190735145702264,37650331509874370,515576594375789178,660923268262296704,34043969362803712,340302126412637440,303862901465653272,1067274071178911008,109570324015508096,75687129892561230,1160551494738740496,95423386652908736,34794937823973416,865344146465804436,137144210204648752,514082177568008040,344873692092504384,390541308530132032,734716655155780308,3663936302474048,219746836071413760,326343663023425684,74906687796838092,415978947509928400,167309163961362304,45201933860503098,193643663299122060,227576094949896768,1414340475098450368,596377040928058224,150130796118538196,144051328274665196,206491059049631456,280373291638970130,784074986522378720,1241023129854790464,277682021181367328,1603978387165206864,846495559787762640,80788245957269216,19140179626486224,106290766952300400,22606327993423412,112985296101011360,372774619648127880,109228581591579072,326169043310236924,47890032888078576,347899183484430204,1672037412574435578,470458344475207134,972949563738440192,80927823157942656,404472567992529480,292955550078652904,316705903243399340,165205486346334980,521282649784704264,724075300478809272,315185539659016320,1353194013899380536,738907387117650758,57436871314858050,175212639163661792,781933670634664480,1008955786751062188,784809491020767324,676181688810903936,1384744342449492432,1161716669909566992,534313995480039222,1566691625681592192,1183670454608169948,607058992283577288,92911779121620850,1114478498925326400,498423922766466536,350467512167614254,353250367632936420,1082363369244452016,82665362282090224,68814364259723856,257946444990273780,68220248506327424,621131862909238912,481887539018294180,1384951619064334464,1355562657920453472,990086847666002016,159581117866207896,823481836925720088,1133921220839417472,230912324594734928,338289821970680540,462025412363406864,681880393756285360,130070282917638136,601072988144696380,177544763322202528,152072669340959952,56938063240826544,1411890596834342912,1359117945427366096,701259994943610896,1102612105705054896,437582318045000436,706248216287997930,82135506103720864,114014572378080192,1709499048891683760,1106924859518245488,130901328556234236,872307927499728720,515147620756887132,154378241215179336,372082974746239344,830387987845503744,437476683542345090,239518188475187748,56025768937754784,840031411089575520,617003526369179872,1078007599506305412,271649396376388224,127379918692466048,482182047183462678,1028949469862960128,219995589936724904,1031916625560599200,250432352344845104,175983684453515128,312345289284921984,143666248305609440,958633097953958126,27240321011941388,136143704236469480,33682853615590620,538696370725817760,559439348451806628,1273646423558850304,46446033818930592,703741897728951156,29380571052746832,783147756313413120,29158411524640120,1020108812419540900,216630156734148588,479938126838424800,356655818262222848,182630608504992492,221386878933136294,867440335898278324,171788133899659232,180769233485181648,1084798413622485184,48956809182535552,856376856790416080,507939477798326812,1353683267531278002,487717509805964532,186514173468709424,499843030421330064,539894401399600832,63506325233177712,634790103807263040,511141865938002850,66955001214366410,869176794611434212,33809010401253780,337944391627877100,518255137850795310,81711524641161296,700082271692348640,119437948440629780,387623035229762736,934597791165254832,784945178116681500,222982917270336808,328954981686543940,748759047321400416,542161551543990720,270263810728537460,23098833794980902,41308321556187676,67817437213845888,448573821941304402,846321136792893970,889493999451581440,378477234288679720,557708119576216,16723970513680560,111444650780291200,627552251440683492,705407063072828020,89469829431490294,1119475614943824768,474931827854821344,187456567921712420,559207922651785098,844149321836069340,546302043021520776,127307530353658958,1299685126952063664,767464060759355232,151423854692824992,102617955659749248,455880234385085440,40670870579675448,1219591780610268240,42406338190283634,147466671108573264,233564765125487008,176526025902147584,401354099933271912,860261597228967888,700517792170894700,554060319687612504,1231189239931161308,699606743343085026,244097466783599104,947584110661000512,391285414735960032,834563771566470522,1635407243951365656,842514172025215368,805350650270683504,304041456554607800,31819188997392608,636102759651426560,928360827837222624,512323746361702950,96013625711638460,223589070949971860,1204197038579067354,238053206386204524,233677522783939392,445806165927046032,16854728631088352,21059068217718440,178625534127666724,631519682250324996,734657908219545030,1404254929744949776,648760489312042408,7088712365695680,318850186471418700,169715660201556142,299981168458500832,6328414654924992,63255953859378240,320193922796771448,449054719853457536,715871152229207744,159118969317765844,361483710021813048,512056843574723720,951626479252193820,975664181341551310,764706431310864294,1577340899921694600,615090176648622816,108822899978721790,861417075219784650,299903705630035056,35426052347790416,1239355711344273320,749056815534278748,1214234002641348608,112632109701261696,46066759898219298,153486847620218820,527466406215433552,24099610203955344,352190760005193396,323190824001550288,39756304065517728,301479125462960256,764823557404220730,224174196887590164,40243973618062656,156112083488113312,67594837070773610,675642994420762300,729830684472488928,85408373856374288,128877472787414576,101653341103441770,110868317202096580,284740600207142492,134502043844419152,692375551636982304,1137799931589384704,943126002139720992,1140940398971981772,19333874256339370,270551272528372360,128600322148088920,153725268921891772,47720374364275164,934978931441460992,530044768910113824,653731831011037632,61136849819568696,763862244273094200,628948505802435952,784559306116770,13070019796308500,52256205211912000,163684531701048512,404395428329725872,573744509080949150,435137712615860352,62519315370524208,446362081092817200,177004556621929928,642091588848285184,1226279534660102832,1006515037953122838,64537531710610196,552924913861577760,117752686282552880,695954225318426652,632503106751815992,50836814849848160,1016268561229510400,24266391381948478,452954088838554534,1021424412083425092,341546599060346880,1049875250205603822,157991542142142904,718683558557018112,532540999222365504,4015973525660850,32112943576143600,240735744821034000,281940252525092784,109297840295044140,15651683869113738,782221807790614800,600548112221513728,701982075160258048,683739833228587616,1084393587072086676,292203219155533184,350220739584549904,295340321454266088,134038574969328896,141753403569114008,82698247373589324,826597671923668680,39029284414958460,116042432722139856,176806796035703260,14075829443662344,23448775620734880,235962769861203008,191142529682592054,222344838215659996,543170917958673888,702544377412913868,481958223718693128,826414878203448192,316923576437489440,67683234999146928,676515317282621160,159164685072284344,585006913586983104,615161673759745320,765851414046507050,411148615143213396,452196310528890312,1025891001226832832,286096082576893308,418164213232475150,843626524095246096,107631525010154992,461060741244631440,737238862556878640,85739987933124096,163301457761128736,288675009615238792,56614593391253768,109761212122611996,58515906423808992,329195390387783010,1253533117497151554,18697497999145696,373772991788465920,141107387516234020,44342496774543948,147738279417034480,97147233992536448,655266299971099860,347534294648535072,561233347285636368,213904399709778672,147264102040677504,72248624626328436,68844808174576812,3879996740309024,38781497920908320,193815144452232800,554512208943215400,637860119666774016,334289414556553368,687874648219301536,30209682200136660,167751423580977000,821454137452104310,310179649819808778,16216823540313344,405226637496020800,890165427744945688,535886119986934878,331759792118741984,147084037512495328,427812747006252352,329859548552276372,261066489135078048,795466008125226256,807865604630265944,267209423245083112,1314480764434670028,506134010663777080,489184460194663170,102870403318441998,32177799468497088,643245862813292160,495518417659705068,211523095776632010,506009502552917184,1496291465214500976,139931774099260494,232870395222915380,382986518407703184,94089094095324064,772952317296905200,611572691759998650,211767490684301620,431466484280575440,40663922772799900,313795443002261454,95568940867321856,477612735197480960,133467800855885424,833768433006689700,931251135575263464,162191110196290896,418286230092078144,51997667696946192,184484027349374704,589963678694663280,20450383817724920,204404102226600400,53291005697450472,266324958611020680,258338952756931150,45843977577883254,1374647030766678240,172732345338373352,718530140267890758,393270960662166132,431348368442515836,418633620670116384,188848584640696176,139100251747385644,239257894571103872,396625836000765952,641312187066706680,107878200332329386,658654693391657856,1433640665428551216,398959420933638296,14742259637652672,98233328240783360,159767623431123344,682283984515007820,202864420465742840,149722717663954288,523415537469350976,138228948311507970,130357888027082472,1330957052901114408,634820378617014144,718688974138222542,150464115922817088,93224884554738704,1093560879201992896,50132848719823896,38859525942377910,466082923686557760,238656127254933248,260097257651595252,105060791568495344,197752314233933112,12242964331581952,30592180161370240,425958646575610278,109541302008593296,339439133643460032,299336696960415304,223416901936991646,762675382860373404,91574336137803540,141883035358748154,565377917982065180,911373374804664576,308924871524363184,207672068980520528,386622527931443496,304915029962521160,420271031688066748,1011660107491843902,594532992424715008,144095672657925456,155447356849341984,383735257790323452,1003869361180147294,273626862459649712,143067570422755104,471434742121707896,51670412138729008,385909865888105664,1247790720826495040,523597092953511430,77666705509311112,914211732550449648,58650748033859072,586211138070576640,128006959760560674,1279422199533327120,929424182014582016,317141820433127424,521717150007691988,305602885425686688,162154480496763816,350586643993976988,717145718826276726,490659124758921216,923553254533169064,218840484396113736,220786037637009460,726713673937571952,632405774699398028,722542873642924950,217378495861122456,85072424135976224,362293893528374640,230535561231806796,194826181458762984,101154112966869552,337008105481986720,69208982850102858,538016798639536580,526624192480600064,347567970753299968,116290243222086852,350430815963297734,191413995255671008,241246624941804972,21007755891944660,419939404288079600,590400008571356256,297663927585283008,125313158709485532,974156517506581080,753979070159148288,448323423874025796,71675590292535258,677818791655167008,519028553969400960,928306027567359432,169791636178791072,60574465881757030,531635137040977648,275964504734030944,240701208836863936,1037212386073590704,268720850937389872,555896229231393024,531469795424291584,181209916120364920,97038488131649104,73079858873282380,1022586766005534940,202282558460511752,250960686779183696,272581700526176832,282661435358700008,35959077705586596,59900583695663480,912258483810624076,216834344322566672,221761128832108698,922399226934620288,494480339424033792,602509067691516072,523835099580264570,568991835322924560,392639568531784544,24368812142860406,617754402359008642,847210885531224320,765453722831608512,34560909256440672,106376757316612692,89193873166109584,408275227187095896,489118352839643744,1255861201992310782,13874792928734112,312018543517534560,301399010063075936,407298814534845624,307323217118332480,303619297675500632,130489638767369434,577135528099305824,947978449740870912,648398191536195920,461980687224115192,134675617053002232,282956173128132784,97049791339570164,148051578231624312,55285055462866810,221022956254485920,32164076200882912,121942723633844992,609389809738635520,146106337544703668,591218357189062148,240620111536553910,266735240077149970,529172011988781056,726898077969463840,727678933201875186,184767551963115080,14312592063517188,429148565750341080,40326556796263972,49468402288926686,269454527510586376,728469149221267776,249565576075520250,131008262520510378,532639387226890048,591666532167160640,244569846224138228,54710584163644060,546812158630740800,137320537172420128,40791745820016752,844284508367200992,595151158831134816,128808277218911388,322756725411428912,421407240822939280,74450171388798536,566901211254546944,371256377530776108,150315371606450916,116038287801789052,77053386020745260,15343887469622376,191694839814209100,83132191524171712,324611924194157600,185332669924897530,91577862548559580,266850763121866976,170724128399630960,253126284023453832,1104617417240050956,285161546233293408,90430322939087520,126198268931554184,85305072337791960,193202857771085988,65583841456829644,479436868220387424,29942259704409472,74814797395617280,536069538203039568,203223223382893650,617587064444824656,118235125401319760,1176853634882590368,136118127058995858,81068656858918938,976039827956787136,106272211470047424,232878247917359408,691897070360485730,159824795947806468,715576461496025248,42234302116522880,422110714658796800,746377118139089920,239750150658465496,382268945192385472,288195589953362384,592583307658147008,419884858919142048,781652459082286232,704182155342602352,437569398094495800,412488038641563312,492009573951482742,640645581164666532,209925084148974420,1015001402698176896,879553416718132992,795889757786146016,1057893066594007776,12822692620218432,576700580804508720,511965107247819096,1180118166969452724,868419001841892912,407373285121240914,47116633392055734,137871291889267872,107382011022583808,603968062169492052,673199785284031960,39260334073709044,102237906670197872,34320676723559170,68602951907055580,425307412331999232,296599050718790352,480419382837756304,174737630123711264,442765706124052584,46224137440067340,57905463398338476,385819525756497840,296764906380325776,620307927747148320,351074410749949664,94966015520315212,542357226157339840,489204000028474144,254681064751463532,534788799711031348,413028898978597200,84925978515498984,558226562148819928,841418389679083408,438509254171988556,57576476292984348,9767956854427932,97624210785420840,236774739843265248,217591497672777088,706320695367457776,239016232210241304,122863389264958132,528656922569362032,104842310490845808,957123707926709648,520584213254458752,47406029991845440,473790024832416800,285263708605318716,296612867472815688,274331650510939952,665946306878412266,302403951651448752,130634987830414912,86778266377498944,376983769973268430,374538288611460240,44116591220009412,104208346321964856,194881929260649036,255465524090247552,24440611106246544,189984370009027440,782841773899854012,226355594989657404,766504957744022016,686269847731012272,156031606188618176,272777732240637210,1119323072370778632,485193775248712192,638791341436546312,286986859328973776,154978100058558420,64425506363081912,84664045074521664,3904453296784446,351197119146905280,665217771031199904,790134071785750692,553763783264367186,57661245402342968,173941148682559584,53998892538147102,367343008630942014,223612200212424416,12199483901086592,487694936839116160,54255895940466808,631149080510207740,71260793032709420,35364567388460778,314167977155217120,926290087803782912,102113034889571776,478554436530666590,767538928392826512,145090799589256304,259889121188916912,154482742485588624,331257911221130196,7794673142161024,175277062018702080,399701131041201094,20838966315095124,354456185757162580,22020726656566380,82863590316886954,10698945220344304,481168430322877440,1110623277631970232,6425438851245190,77059689175866360,1155211698949765200,158945694038443572,239611282791042316,210923106454254312,892415468139550632,36717848778620464,377898952469590048,1017714077768049568,279939924090045048,174865481948345916,194304477490031540,233401579156967704,240757603132866624,123663852847823320,124314195168439088,98925779792297610,436096213191558332,568470081182392648,676267921999320950,405014355307789458,932719779232253096,349177719231910272,83638545601642668,160061295901521672,395465533595334732,840576880995899104,215426498462609084,259981301632136,11692127658234240,103867528150489600,648781463862980000,443962832189778070,742947945359439744,20644229386851112,506375222902278058,213873991842550520,1196206015812405912,872839003318443728,86526237654993196,94940074912366866,443596616429034096,461744211343841340,245876431994428272,88134879440669454,109057895041967872,12601306814847968,566714445209385480,487947254012853320,226866322371061620,496426809641051628,61526211485335404,72358060117034426,423651772080972680,75076638650486848,88498434235567930,816813268506203328,1024323163965991224,321938574710805312,84851071992394764,1090274794381227960,47560118270361216,741009601551200072,12634255642504644,378795191976471240,155778948977835672,767993421146172312,96670396592512354,281567139136011132,150594335952289712,580545370300604640,98988425969036708,203342742157591196,99732095757857892,485497873730849304,193487304057279232,555221075140404610,325388913409174240,641796911571571520,980913601090821042,185957274497174768,442919914803390936,434186838658113300,348934784177419104,458393431751250060,33232044734594840,132845577291854080,29857347829013460,116984151243064716,456655125802765204,17131885700489840,256818121224199800,277498056250899386,33199693934383232,165894823365679520,270838123563251620,175945063099631056,488891744675980464,245845895295348816,593975104552518888,176487423887347276,110001430421270752,70793342025275648,65060786936528610,49047101006292060,408468946389971000,281777792807147952,763610886778729482,79429557736692856,25786582936543712,7447220377193792,18606306442884440,523676514999616254,424684146492744624,485588457174145780,278363724056617850,93257620837352936,503550909536990928,600547620144575488,571179511227512650,623617122465999660,412575328653967632,121304377288990784,123311287562758230,837722004178707634,389127039217855232,392179417412453504,441057579931854392,631349620579749596,99825668644501464,279738973757620188,41384394370570332,564506858618440682,445780302374109024,468162823236640064,292176323853443248,1020058237151671536,3949576446807696,19735217726876880,394451070676303200,106989030593127878,395050467097688256,62593174811563120,124493559249619504,849478699296362296,695045680711795168,945161082664848896,337572020012069364,502671437340337632,24347162978726640,243314325148876800,62839925476393612,584367909910293168,26613925054325700,86113512139399120,143471773343723202,210592955926473732,296196572891746240,766478422981581312,627844040236183778,262058317871615622,346965747216022912,248971945319628752,30327425049577680,303076588407717600,48852464629487472,244102922808245280,219596732712949788,1037627224790914710,262179029971799688,404587748969011032,412028490180905990,289621888152304812,104887119512435952,594904592451680784,377379195765887120,932549114301184854,442684622761316544,569156018353818336,40383635467344780,556557837391027178,184140866276413536,5637807722575680,112681778302923600,37608960295236164,61311150149455752,204235436523937520,280780420208867088,822079161380289904,381514118667868032,235091773912658944,305327395861480344,139797277740897504,713942506706687356,150135416804292408,95059393304687616,224031555388116012,31241776970837064,936629134204410720,592249350237073088,47461087203607932,112536895657081116,53427068258606672,78322144522965516,20210808744569164,201972884344162880,334058369939522592,233196830201049036,510015800379301164,9864153830605004,887178036715144920,134227514679501480,173244860205258552,49307769679866992,72944312490250240,210652952579756112,97528778997296416,10123885756905104,50585280198224720,260675147426728392,205322584586451472,296447055514855424,122596966745767512,103870166330589876,217060819107258248,135336357656915312,333420317556978160,17667203607563510,176552071016212100,929598785767102592,96942860861027216,210589627135161924,810168453087121282,378006701252085296,1866267935322672,55949845770929520,93186090719487600,429617003730987968,103845190791803608,245768749509180656,648955115927597232,130930806221692736,185059742617925104,110714142962043238,470265335425871622,323866380028085856,71547589216371968,68391259784427980,59653638445623978,81985114051878012,19495746843608476,55663732646222680,406460307712548348,204210843135326976,538666881561685536,166941408062597196,42011297863644428,562985539612558296,28983461984393784,482722898453013800,114193141507423296,297934902405708264,497262475401448960,621462492228011472,337339845483675210,169500802692157272,157669378423842896,288419954932137108,117487263102553704,322239889376303808,229652928801798528,902956549443792144,658259702742704118,149526903078617176,691226670039882564,69708642394596172,9280240626901972,834635725601876640,81091275996071936,13063201679899098,14504465383959740,30791500087411332,79556711146331152,111064187327707796,762015115269113922,295668930909630528,336925747980106992,33090399307226558,827941666101657216,37859476549457124,114128181445310676,80229508374596172,122122302843442356,270617365912476408,109670769018201424,708222801134181294,326035984747887336,491555039032622908,125046386321183680,147026905332774024,78482642322170352,751700014857955728,331640068363695784,95591350329649776,113604283842771232,29680580842815084,72307572402468784,50182215668099396,321199668214409664,524044894260358848,810264025023453792,51438815506168524,456905369392229440,102534202335927840,149174685316391868,379470164554499158,867146805526453092,581792133326034944,298194131096541680,40461861379730530,356348077645503310,372393600956398336,21721853396710064,425132752741735224,526252944098257584,938264035551572520,281542581094672608,216551254631357472,248694476534666260,446730789079547904,27704076716579920,553678079593007200,187553742082420056,369642767040660608,398437271000957664,21874274322234152,124904516300832320,649067779397992584,49967152326470608,551966125028221512,65777384358211130,3870672482110656,51571094331043840,117959851084884156,611536952781175694,4403659949046360,52805030769257760,439717859328834000,8611905228158128,172111081054366720,498198011203391640,94391554322996790,240577447107384678,170941895993345008,817331118461837408,235064445652556530,37259339721898308,96333640616565456,395449556605382912,124772162149546016,590447843658386210,710115933417827872,103165702808951072,383258933424904068,309179001688297938,378906563863467936,188795544644145680,767584817050892652,408234089763503848,392219997502773916,99426537764728720,310726799864644896,24451288775954598,61590397119860224,94346864836812224,359621933629297248,230829315556050880,213152513271282144,287102277747831264,357740922461254614,78572209430001282,211241670288785920,832217919447347264,171592900145145388,71628014024574252,408993130631311680,631643099537855772,337120050100934880,121019458821266628,779741711292981384,157396864887933664,14032929970342444,174891364176421430,272192123862137504,197831203936770208,296741527088972224,335235636517069236,306731179285500240,131307196317369240,212187074204826976,56362526537860400,492794394471533000,537558696955432712,294490958165841616,109965265900138052,113561322969553760,150879624662396928,178640716561960394,141239114011075536,54905021522045968,59231478904173960,176969218900064048,165079480746470304,96089855154677280,48031122180470280,767903204031324960,116961330102583512,85693465479149872,30977706306968128,292237880637626,26280977729056380,204248696641343200,429371906318153760,143943644718368992,51535437667352786,3894766829198680,116751827248165200,643954619790262802,300988434579131724,409915135488613840,4748260335383376,63260546869009440,391907391507285122,99251254269095880,88344567754155128,205043213457661176,580938905420108256,14119469681884952,118569467390263968,361916554054099304,464377800380747260,145263086414168292,360214352656234536,846735846977000610,151759664502232990,1393220510663360,16705399680017760,194741791569932600,535231696145979924,296245900325158420,89020771122146100,341358204986438864,196784817634295072,540781072726617024,885090450302198784,80849416064027306,55110610373851488,206499651060000240,176043776579363952,160949291657136752,22808360424903808,455801570745364480,142189928360906160,26917759171854404,105001951512432126,206099997634721008,72940662164009680,82964745719353666,249887136843964676,237813539536427104,159533162264832,2656738144039600,31855083648561600,265244251776880000,36657733587311460,422876652802181172,43741908402419022,47247667898085856,157302660578657568,587465380308164484,567048632174587596,61226854428957268,211735895080896144,274043063235238164,780228495045589488,471412382958830280,312835112771971440,275193311610613032,20542620207898432,205257883014634240,123119805676582416,124669029132995568,19693101107260758,19573383582893056,73339807045653120,201047999452614032,35197185940499100,78999277993748276,91487547186161328,55671613951843702,292988283371642040,337270307685644784,158884060535918400,205791475134556332,287226494378560672,490899254546851444,27845901061920484,430713476501525560,651070908850221216,398299666873413888,353853019798311936,179114435807623824,226942059791460664,148971918787908112,428344811107737580,278239930209636756,481455007724348966,164095215215329216,131577497508022848,254953752280757810,68919517302403220,238143415796702864,128963951873063680,272728690220200368,166106868013986606,538817877180926304,232748537193950440,436622872829904420,69668605364148882,260771925590392224,229723417155845184,45347382893119860,271853472508953480,537460117936598376,33355504687798272,207413744690969208,148386996498277110,77911518470221140,651156656096677248,547869933173207632,60810252449854916,23810558192290016,205630723062520448,382402295317083600,109404282323705490,113793769966827216,5456851586155836,436173146067731040,80906905051140130,468063175476598352,19826179231078448,91234447516378208,75547200148359212,39667676560360920,158533612853931360,271533926731324160,491696846791151820,659087388687270144,436922167707758240,414663039016154082,8989544455411310,89817314941251800,36547946339405756,180895948201999436,401349076584257390,636353301193082928,536959117122213632,191093030071075692,134080160082813594,575212188487945736,7593568355431184,37934562366633560,31201014721297008,467604298335121920,159321859530839808,232610661979530270,50414227288751916,411414814711408480,123885175595850760,77110809640491272,389657272018699776,323683867853648280,445820527748763440,243209836382786682,917137335214618,27489712500455880,5443601681590236,18129214553622060,1976900476160572,158011257234680320,92515213163277040,49518757096509792,309216016899522600,165619244006794512,178279055670507876,687768433203914712,311937097411125696,676187847825994440,80816170768243456,293508233312403168,91278724164891260,53121085419678640,44222300251517836,176599910519442168,699922345842514704,721058729153472864,43045923962845008,358391665781312700,85915427008659976,277777763676080736,417188572119847260,87856376922874836,4509592840502960,28159333981786000,112534853413808000,188065978454946620,158452500241787328,18453099603425292,20484722790202680,60895822491219688,215607346306875710,332132361737035392,429900772879735416,259755720927052020,342792043292989872,535783273368590772,578511084857144768,153618170572504840,382289354679403184,412867273041238680,27169393336277920,77956407142017276,306157567573559982,14018696339855480,280114233553263200,90891767886767624,263838378568440732,43845072826178560,191345877038084288,67933974329478224,564718989091781006,226839794631751608,256322858288233128,225504377279331696,400483602811945620,209410395876519696,62079500945985376,14904005590629064,335025551375478540,165172579604655840,456741706732911432,672486421814309408,159032719222178308,69661036644771488,96320776074736752,68049193190273742,466380358158267072,701508652524585864,204431223048409116,295447061856617720,31021463603679822,172177852984561200,9301320887681024,55935246920340156,19228095605959044,88240882035482708,298023108615232084,53529300633102540,35555823779759556,177609087905396160,91328734936432152,18413582717541662,36374515853051424,112596103345153064,623761365376834656,245884021657195782,185884841333595492,165453549431926848,8343719544319600,35724276180055500,110149116081445962,76257781862894896,315349667555430144,198051154448758296,8159945889480192,81520235049738240,40058163846626224,660792704925781296,80594428806694928,142713509307028856,489913862074207936,337383268336295632,59368369381727000,402361753613531856,187731148468284864,138818869574773284,114782621586380300,42409067711206392,141224602288884240,238087554620659744,120084914836728792,407249793865303872,53139216392602296,64461133201247328,1872234434738184,21821119281198160,217995040342032800,283224148183461352,470230970468531636,283908411581432544,226646747736027696,146716225843798872,95212294590099128,697143881739114180,521272466311394412,67046768603100714,580428904463492616,78534480643856384,75367545571705824,29933141010139864,309121019527040210,452863582380375348,45052841468495784,498361035578575722,22209150811548582,172563533462458320,73458961111728192,157936004984996196,165965066052755268,288870168917093372,41764099630918680,313313886949457184,423738325220819168,487351586826930688,440120088861042408,25431994224332060,304872605922938160,289055151384838552,218885246712192060,41117374801571224,176458643327324218,156994405082610368,165599148586901248,27365168243034450,376957086441195294,98990803167858420,108082668144802440,310474078856245460,33312954903608688,443713683275822080,17269607822220328,77220034171898176,79593118684256184,91897025970042600,1334237047583120,21325595697024640,26629248989746400,225756137831213328,215000148665865792,32181076629554818,89542663271155380,109095228236504416,316780631922600916,590422792720017680,342532788971028708,41826597306959488,326003483422097600,121586409810367320,7860631900117812,52348938397249760,108526326064834236,245196191562574192,64154264124617240,479818083102039864,54629713356506784,130016885183685872,104844887135476992,169124023474481868,377169420031621668,373710662126078800,62448267395947272,237957335473892736,3285511353552864,32819952112706640,317664576622472238,113906396565607312,260626816252336820,17814597802497048,266931488095231320,8602520726508336,28644154976586240,197516498697810378,637759202295606372,242010848337276820,44338446858140512,29544635654862748,252964984858911120,169122724642465440,317988620481402672,178452380234491506,315778966484998128,155326349067886836,218232681703188736,495491863030939242,129431569647952782,69362331099977000,170759564153801152,196859026879091610,26920998449063656,605056112445904920,193809117476137888,132297542185029830,49006135251132098,356410770335544576,123026560257234816,432331742277888796,90688459409281552,148343190100353456,297847883791375092,320120155659734836,270154142757418356,109398232765515456,99142129433738944,423479170473052716,203042383682325894,236610623917643976,325042535504765920,158894591767554390,71146253850294884,9724225383163200,129510409203992000,296613178074148096,4347619556837032,43427100703740320,34124309600154980,272685519536654480,469550832951103722,65286877220874864,330712960277566048,108313874697567784,108258202584910436,217620036998745936,346289268536559192,44042215225808856,110441565659742534,106844579583026848,350801621887360168,70514400449056008,191293274938006760,113941580636552100,35598031565368020,48784421861966440,479023001177517774,260092122957286760,162090393641956096,503736816694586800,86594836570606428,7758168891265632,18742442011723432,178934588278068014,154312131189730206,347354058527659296,139442231442561000,405427117987378312,74685325248806272,246115434889770180,109977648870325280,22458967332138288,99700382412542080,188839698345196064,8115121802069088,121583346586822260,6367365843168764,45427451574631600,143363972143465752,38334172083448702,345881753918100890,244967806820447568,28579209595488720,114180837050651760,195981840302724160,419997587688491540,13194763148583056,98842440302241420,129666070826862656,429672481475682368,36870818216744704,209935279396646288,518941506231202544,284502932695592140,261743483815583952,383988859179854508,100698974560256268,68073062229688320,39435582559410544,12282686732930418,122677790053309740,54690781260914568,364161625832077920,22322707364490078,257107582775308698,211677057003926144,17167977882596352,514408979036309760,495274294811970864,137711228065742208,111247823723584100,265463598240491742,341502170607410076,292799820139425200,17668605907841872,48616449951520284,307451213206920468,1644309685365368,114958922365586320,36804543631815308,49936881392812050,109178831099059024,229425242982663168,19264823380953828,64135848617797320,96457297740033264,413392253573295264,49116162215910832,537647815654585218,93806267176232928,552025331531854992,243224608064077570,238830277219125910,118623427503623172,101859591687107520,131429328771365328,158192406774969088,87449964209118784,128103726199139264,67982718782760530,105136424508243486,203290666579336700,176584014696248080,132471637364332890,86194278793475802,136379460804948928,165686642245532200,215719821307503270,110860403618388732,14693807293737336,220122685401039720,122051991200080356,423257711914944018,55576726791007608,29854700082854784,55105230888725528,145934426844479088,203636315526769160,130748357686782936,36379854810334854,1853703339511520,14810219729428480,221862198511027200,76467008023038828,148795474034831364,69950751843291912,106357169684834376,172191504578214696,106755320762267574,285464533255343400,271730249922705024,83429433207676540,1298732011382364,25940116413392160,5501355268664404,494462169440983980,83635854779738170,195987169354629888,106430764523225856,1087290096635564,21716632571098640,433749278965750400,68896849566009020,164034112480116032,176083259185734852,3317134722955560,44168663606822400,52036041981678146,108795192317932152,41066961343808712,155289240167438580,82216177433078440,190416623994297948,224924842152866560,450339496573118544,271990237505023912,128613274594523628,51991122827774984,180763408551340368,28826936731090460,265645869883915896,72797880659851200,304375823742232944,475754175358376670,79175183005092930,400500006323252256,283360624798217832,128453717351240876,108110688761688368,197553930935329152,249676741985064680,431278031626883532,198958029140529736,23252498647902560,145124040980227000,77666153662122480,81997090523146412,18327476295310312,31293961104953792,6795719069701541280,146876518408308912,1958207240980295040,673255681680309708,1598728268337879832,3322291149479984860,2755333432860091353,2969956515297932824,349000783148012211,1163248983596861730,6411965622786501885,1589629139878963816,3385207601026081074,2208981350776346850,3105243098932361034,5741443291644669420,704849531558928453,2349322742339824590,2252259320136012645,1149329616873518168,6118737260337031280,1886268807198783357,1173033107618393408,1785725931893661225,6145954680077865135,4553027231562565020,2531696510597143356,38815902291444864,291097485359522880,8732271122575113600,443382328263792990,110213108479535716,48861109589858417,488574528500109570,1346520373620448944,2071958498135608650,5909940819319570434,2618163176001306801,4654474425026081208,3326870922780701430,1689508781531923650,6396126952197398544,4751275798745589132,2759779808535114245,2321436324463206975,3323981888347938720,4858678385704875708,414300613693397145,986915997179758161,1071440876464374312,287431736257769905,6165772333776678528,1726788680201125295,2389764411281746568,6188517187870752252,3432602750101400320,426232403199816660,6819207460308325440,1028339929152980424,548725447239378498,4572369383201570250,2210499608105154372,108120852764799921,720751660191756540,1354468314659034717,2271322461656993275,680538889504485324,2009195227909104168,1642413108929002016,4774537328020412295,96615016452146345,8694699499316615130,629179526875075839,6282901822533058602,2043617515162072314,1538241771741692490,2055497201719819926,1106575975472342164,667104745050161964,747272687556615396,4702911851596881720,5052483768244662840,58911680735538036,981787681352812600,3657346118504441172,5254038353159183630,162667322675981061,1155391589757126354,1597923428121293265,330087807351860060,5776103092866051750,4555863787330002405,723348970294376366,8483831300127368178,4157344427686632976,5751294964085820570,151448555141088987,1865213966641355948,4236535314205242462,1030528207046476464,960924962116213220,1429964533985872456,4437879063335708382,62735909425929859,1254623954963758820,2070908314722715050,4637609352289119285,5377617779826406476,584400026633442996,1823820634654685415,843717684172963025,547271408543092866,5472302902759048140,5074991513780558310,586855073077085778,5868109741849781300,19590484331781728,195890120695331520,3917507968944390400,1127985251264379741,1862673752831402295,977544063380068155,1079371353586180239,2297824214534365455,2469151342679583012,7818763749628361720,721270879062567954,1875830628414568924,4053634898010373744,6191202667135573584,3360902884842521480,1238705369500345464,7731872504846096520,770948203883031609,958635477622068512,4287490757872298340,5397128493649484910,5716430505347232114,328197517684058808,7383888585000784620,7127183419329721880,2757229204041174870,1165588154268127580,1649699478174158888,2811816146679501573,3053001571214409570,3889859591661165035,2350897524035837895,3676472018504782266,254495258556807880,318095126639049750,49245931994992529,1969688984630230040,749192547864979008,1303805160092439067,818930916426977405,4423445239188674205,3995362575243277648,4103697115083827640,5426535777299717526,2095880428352458170,4365147250781184348,2033902890218920284,3914182416889626915,1584513901774735383,473936145790676625,3385003154043071250,3084641657595345492,2912210221118098824,2274761230477406419,489705240825760060,1637281352409108777,3884461274341623135,2842090526416051374,1136800475599873044,3791130135674199800,2284493799285815288,2509533108725418825,4259420459372654290,740877538821093616,4052551606352321025,814234575327342441,6816191451722419832,1134781697638930356,5099582464720553598,508358587996881270,1306656125385866286,1434111625029197960,5503227947082366438,5177704702455020259,1646332765200345375,1987725263419176155,758189845483338144,1190655376983932876,895524405635897176,3789830956479758640,667636887981541662,4450576755391350120,1089222858884328072,642747109456958626,748573205321112520,5613875343991962540,8297745236463161888,6082521542478394818,3899159612789923635,1561982531851362255,78307391502714825,87001644537068250,5219704587644745000,3077686311869559552,6563252713881785985,54535040530993533,1635927679653603210,7007458558809378213,3080104212778699626,2933797107125780310,860241046268371434,438963078398460954,2971768496386021689,364524548208931848,5467455185636848200,4830771269824559424,4697663751649861254,1684991715245138697,425761049031662575,841916999676758160,71914352266086315,719089180214362350,2001463410213633885,1779057204279847898,1780957816489498770,6735318994596706695,1104395238277151445,803122592985183144,301130013971896803,2809849240759893180,124437613941632948,2799634635887604570,8291874775302008912,7222811324731139389,985997746557733395,1585240723151406201,200680428038362530,5016631284021863250,5630418073811387976,6550610617592936640,6531593212887151647,24897555409343071,248956720324467610,1066876658725796100,3582642897724418120,2672561413409928496,465526359519518262,2302396984062527976,4378934338648003854,2167421551802319960,3032103484505830674,786716158221567913,618590988112540299,3026125194606254775,3075623417799787180,442147028188761141,1964825237348510166,4419685778005664364,120901366000441251,1044273803037467730,2116579272942864039,5078467925682650712,931704042744332480,828703891069655873,84267256164699120,315978279015394020,56559311520138771,377033518121572740,6806827380939045624,235145387212032590,1982724307971406482,6879383736995247966,2437045802481972174,8640865082926424511,296921240698445395,1803482584016783232,5238601638278025192,1493307246326863374,843761169521774992,255740861062948860,2557214785988669160,774533673408125688,4123468060610437392,4087832718472286048,1845085847408712790,8658093285824458806,2271637216766193031,440699931090190263,2181416762904734865,464791500879662940,1553306327271351876,1571721752110640562,154431739554480150,5404700966109737250,495468751974983535,2478251071259695446,39424555036595844,262810430103083760,1751936625366001600,1262668656896556100,461814490798350366,1965780586193511392,5516295992512047036,4618664712462707697,2456859139256840280,7004421668448754123,3623965787510453715,266014963368967761,2659947738231825990,5360104079624017260,1371529610901473448,2689196354520090168,4843094546261504718,910265817320834780,643055376655855380,247115050125709158,1647308583042733080,1023570645404133709,962615956811133387,3184374993355399455,4028616578778038991,1423245542982685512,3276079315281257177,2241177452314813128,2267899171751157375,2083080627823404210,189279951493001152,2838983581408322880,1226761587471452344,8877232803643303275,1796932830469663881,1686240783569388030,1183607982300721836,943446364537445703,518091708859588485,5583310603702714424,6444106391907299616,4265622689412677245,903166211772116922,5718577246748934660,1640465173060345962,2030953665992374932,599051368911563862,3394198351057378180,1036249411947431160,534135827796658026,401232461213208050,8802186750216110943,4226130856432077096,429295786848984675,2821858558992032861,6635237036893564407,919223621958380852,728532984793342368,373374960535784610,3256873354085773095,2446768408433480124,2894469054746550687,235121218368941178,261225919551435700,3906803165026177962,2231246128945145875,1774432515365957190,936759544884559638,4614402140280648560,3807918925598713410,935123582016228960,3374715920172424228,450732226713020508,602851432925677230,6882122636258040171,2979178616658323115,2483183469020847795,413950840758403404,6208789779819197100,2973301387517365752,1515773103515689854,2374035244970213120,1290886442860075464,2709097523041574070,7672469720952983888,2533075857969525561,2713211284114863005,2701169284412939895,950875057851975960,565698693014250814,5448764117483468068,5483803979566378971,8718520736938903425,1392425538201361335,3797836984704579054,2116188363649401055,4869749412701953620,2076810207492698748,630412093152575775,5603235881197394800,7726924321640374518,1568626238434705744,5095519223790131754,2704260444634400310,1913616162437160772,3180770974787796747,925687871092014762,4802669571860402958,1963911061929334275,810246105566752536,2615418081779439016,1592941316356865128,967800959288059653,1406878897170086235,2984839050733591010,5125646887666866990,717600692753141452,3115374510961571934,156234399431830350,2343337163434270650,5218655654443311592,387693541890282012,1618619099735545078,2807762291375187555,1105355684715737679,5010748119349878573,456416936516983455,2378041352692797210,6010371413650718280,4370383165538115664,353466376883923305,1407511963733464803,4232872450263053534,3754294703412861900,1148740544021703162,3571969370458191068,758433368390895426,869686852345143562,263322154746136770,4135505027384462802,6417744790868211800,6998729991189414232,1161360468796289748,4916336183368626975,7187510416072487424,6548075913949007808,39802644921131312,1591984134417269120,1938826103487477510,3572492922687893519,3751768066661630,56272219697205450,1688037555144136500,5132572631703294330,788112914278015428,7925901644241620019,1942662910293529038,2854147189721358384,2034021320332633260,9057916545413610618,7106142687599263704,6541090635567276774,792351246943128786,1204955693881691820,7790590117479675968,1131373066517598326,1684123377575919345,2074586939984954060,367167547607058100,2753545940520268950,37942237863492052,758786698597858640,2845232405308898100,634375884757869590,1048251457266446241,438973604873785881,2224505615601793485,3008427713011190576,4236105879626961690,8564807415384900252,2126636029392754578,1471782560882508693,4172537384549664310,1826474098674030660,3034954245620131029,7663687185736560424,3796181896441848687,740781575065109610,3249067196094006385,4578334146034366096,1273544444190935130,264853318310692432,4914872422695117168,125020522287840690,2083515764251086900,498522489016968140,996968597719725480,819556590621942427,439541691186335430,1255737183449138280,900148366053854010,3135496544368420588,5072853103797774687,667376995460707425,1911604080269979798,689215903753611255,2174585282926483962,4612630228831019272,4806536752093680975,6175877110798470944,1830503585548029237,40875475225221660,572212778709487160,4086920752806490000,357249586349982648,1530952251986351280,27199406814713835,271973209269873150,3448007625377493550,4837124769550400028,6703333866111723183,1771638026677845492,370156806011384482,2630274913581928860,488219074201358548,824151675820326788,378534203324496288,1731963771475390691,3565430581615381280,1600107839693312208,1915763263680257422,1357615864336822989,2347767351370729710,3200000728521428600,634431709209772076,917009138041604517,1481761937859253585,4681658892995872280,725875578989595135,2749222866336009252,887413033609256781,3072321070134581544,3531359254121626626,5740485365940985625,675934190304838878,4827730568832095300,1079361061896583466,1997214963830403210,290556302721285015,6161696259715767932,2105937703974810528,944893895885016622,1012122819005372661,673541199500545230,1985805838867354854,2458582218479371869,707539455726493644,2006582992754059236,4627524055079514225,1187180605444721976,472168436337824317,1349718849060840796,4073094149746294188,2157625415794751790,559280876847127305,643027655869944822,483229035692574136,2415959413539982520,984077923101847275,5187567449490868519,1335321932701419716,1833204395836234206,136949136180758994,684693018178737450,2348324158921557174,2939971097453961870,2481729533664603225,1510579873297732272,2633357075824439115,1390904552277374228,1786314063465836844,4251986571004491780,3811092738148270656,1556803834520211360,2808082399700080569,1902638811141036871,698501951744619744,3707660947274665752,1279517860153630965,5728120471204201371,215017327773043692,65720243307235057,1314303678900248460,2581215094593698150,467119948574227380,1428633903995073963,2313414448960153028,2217010146586892535,2954575739202581565,1283113959895179445,4390891439289136352,1782631368472031100,3802670017672126878,957289438880929600,5436946070265174858,8957793240288430974,7913442984788212317,2910845400148666056,1545680709390868295,768697627015449664,4568941363263593385,135216143734587766,676028618334655970,5000217187444399410,630960881807872077,6309122510224155930,8582428452948527484,2819515888644044322,4690594561536288090,1315359433774517796,4272823210370014896,1223397602195843420,225782434471818654,752550084435385300,742298303157094229,3383184916994481711,4434649628079475926,2070589947201360006,1725946639812690060,1735222340804024892,879304369484444734,742947212972543076,772402805955926282,843649966882554115,1553173494299220456,7785303355888236639,603355976839469666,2009072441784312510,1987762255088126390,2664110438040445401,2507557536305534718,1573352727285595180,782950945042877034,1497857647289476275,8866325358333702504,1609789801934779006,57553486421851182,246638756728127820,7398591449889591000,181778794244508744,2438834129268399831,734535991441561488,6426693612164476980,1260455364171724455,1980026163988263215,7574411953222122408,429146828800194313,1372486899380219710,736597180097977710,1349478773653423724,723309618215354302,1209439741565803062,120496048023052840,1686814331293439600,1609258745085167064,60749079684834296,173555386312094560,867709869352879200,2599896610253371360,479863982695147018,6285298435485014784,834496943615256339,1922110456546388604,972563278385445825,6594942719798717781,3561683150248049007,6643422876485233377,4197510278076068973,2613656432902940680,2594563002216607290,707371950503078220,2297982859663439451,2575205151419558724,1698608734134727520,1427569575207814152,1500484202582784216,2980746236748094844,1753811513495822724,2640152272919607390,4597908509726574414,1302758561941858978,2016585526964093088,236897628919013965,1691994977234453750,379854329969228439,5562256381813102867,5625070128360690114,2918897951891116296,1936188437103155895,2688234122770421088,2383690322356160940,6876145701089503092,4444095687801276017,2412572616280366260,1334148590400182547,445061831283857718,3141794394920122536,2920764616559903352,5200427200444555320,1997024316660796032,2623689791018616728,4470971921916934096,588798510529927395,6219029518879362675,3542821315936725656,6013366997302887852,1779490903109235408,933629570479588955,1022053089570642585,408515998367444309,701879939232173904,7018255463289956640,4674969668589394944,5583890820916771545,2950791301443156633,5916394852729253851,2765025082473812676,3678465743960524992,415065315917491590,3078908568192104824,1705657859085800802,1080450074657751092,3280733538627160440,860134027144454160,538237201080353411,6919655909662441530,3508210667544460245,30150854498862751,2713366428579592650,169595734588851192,211978223345996410,745891301048317164,981927345676953972,3677079400306930080,606316235791855012,629133340550730576,7077200874159321180,7943740350402102039,5941718064197467230,1533757940281305252,382067377679175135,1659490084133998362,3860010435940422880,2969452464299009940,893076000358123842,2872570557342008388,3205135192003944192,81821191283138928,409074191588632400,526952819660193060,403499144258084469,5187443270145694830,783246493745491365,6881709506381279880,3806973977774465844,739396168265623884,6385885777767248199,250800696456764642,775031470148717115,1776803201303316768,945179408503403625,1972351067982232332,5696898148310990292,537512574890795995,3592953125543884815,82434746669343726,588773857794227900,1460719819571445784,1661937928794451710,3162160763502035526,2646680527148334205,2241154536950318115,871846458841919716,1334494759666639620,1823895769058590326,170540782518949753,3555524306727836935,607377252834571284,3670165154994871435,272993136611905845,741996778081707744,2314519114155709095,1307704045872437084,1152472350594189660,5559076330507581315,2959791667164921747,8321655426982253757,1834102377664427382,307484323084745860,6917858950455319410,5874353972796402952,3130355458152919032,933838806069850329,2411722585665332370,384866643307062896,4329412735329633420,4197929270906409340,454826526808948864,4624248282369771360,4907378789144229210,239803753803454146,2066871595068807870,164777335405638912,1966683917820987165,5427572789209799952,707322456453275118,4715115808087704120,2746473416515487943,686762746901162385,1528951761884819480,332145245399729844,830298429217401010,742458485171849448,5166485358095308905,3973319337011266719,3598623844109470864,4268887357498331904,2664770856891825395,2501230289138900745,3280009658042233392,683048766305764840,1876487919776744985,2342503638357457077,1747927054243970870,3261037520427178536,1602169335479144292,616040179068955148,764891104470385543,614780342534179530,206869342524784578,3102798175681276530,477520530832842741,4077280835705239610,1886318222113396320,378334284400334166,1628419880040510322,2026628885229161454,1636306594860378276,748202831628889610,556317619744414761,4932870387358049400,461419854264396424,1315098499845398104,2884538568306071385,714116554893580827,1610084666196321456,69843030766653108,698375798713181320,251791473135228140,3776577300526996260,1089223171786417866,4657289475300277487,2168842205950368804,1556725879954985175,1041387678041645613,1998045365420412228,109526415274150110,1642767942491951850,1072553642167223550,1270639266990052395,1990797332321943446,7817052920097137886,3138810134307074736,4671240552335658425,3643017226182721176,3021123482090379490,118451054319177542,789097934922828012,7884194511113930840,6800987848218225109,4996370648951024238,3887581418930648394,1488662881832179648,4567943868409096290,1412838045733528822,789760684855093995,3557690720860648482,53934780423539540,215722257088343600,276926480088947649,5538096602530679820,354863934401742173,4723210964940448152,4870016758596672125,2600334169132470501,4686349782731237316,7281783130426974152,1155523221382206185,679634214122707920,883127309537850678,3316674561021766546,5575945875865022616,666288659917802432,4996774008208298400,1340431756396526952,4750355547076225212,353221460681297865,1732339173044724687,1700488662518862850,4370562787603590718,2349031952002996974,2009651120457423455,730858147807972878,3248004182074522800,2205408032954694576,3372832907378115678,7932664567721774952,1881802771904500368,4971872368465671105,604340349781591635,979697954930407244,3741363415143834363,444091215768108684,1518519606999490260,1127252564035049092,4311616460621283450,1207590818585841956,275486254478302916,688661685653310150,37152359490446649,371494488553311510,2476435886386331400,390903050699147144,3886138258205389820,4349148018649109535,4181131396576322630,500835413657399916,286092398173950765,1907133169206008500,6242661433063756773,298636919958588795,2986135102950037950,710955877856327082,7109001413356871700,169708790828561216,3818148408944843040,314748416535627348,1615910223536145432,169152905497962480,2818994005224688800,2919811879070337940,1715464112798679956,725730870880706004,684506805431785365,7658136859418589024,5192018119464955191,2745948918318744995,2932840924820737125,1921415357810252550,5452233806788323989,5538313252919059434,3230004882818089224,114809469710184922,1507379436393460245,5554348432405686504,319368033614949196,6386859320388747920,141265973994605964,2594493630089944530,403591396835963882,462718777816688832,1414429651234883336,788072767018361933,252723238466580540,3790550903530461660,1758082698098939208,970872227457370734,3571969695041538268,344843544304826085,510303682601452629,2165005850071392891,1810936963699542695,2737683117610414356,4848971762716393400,5322361205701960242,544282712038621017,1814133152325322290,698421805746999112,6138580512133545240,5760984361304605377,401803375883884466,834094563206606784,321245589374354015,2569762708855262200,1665305048527958934,5942683605942474345,4407511771617210432,1999826729897667204,660268696475945250,735674364903812658,993422014103108148,1056338894577272048,1968438908307223125,134013186050362350,1876037046173670940,2175800517016376562,2881357428928178613,1036827411636989410,358132848132810630,650106208647351189,1491305043961792108,1236306741096745878,4735583557348234338,393181457643331950,786301036692815940,301435862445053856,3014121400747354560,282627232380599630,1310209342496552565,3697393015244445456,2867352990895030432,1677062155596416445,2555501290158902214,2486514368166525690,1873204031811333447,2334108363285610872,8665676168157181359,847398180882432447,1338306735527767780,4191734000595082390,2319503145115663344,7374822181441625160,2645315493339149622,2539838546403532350,407961628625116170,89682622012340924,5380533404033865840,1740509851752123903,2876986418992336665,5719856902604044389,2242759126159018236,1628145128230383802,1722629008953708270,1043765043274444430,1040873729747152815,1093324830569372142,4168536265956477065,881739398725512544,896723249129466885,1535124825063462365,445548500599053063,2045163511248656748,2197089442791578205,1975270859850685440,140341813465222650,4911576114107069750,1416766205358674583,77205980730877296,4631993478397041600,4537017547084025355,631508869881516546,1906697994158076408,1312097924822708148,481984729811719020,5570664439382582712,2118389210559892012,2595263786645427090,1304989118766869646,459825488401112120,708404006331036972,832242548170031637,5806400893445419848,3619486337783868888,929884231517220525,917022503516753645,6033920519179518189,7600744538647590474,5364319989932359392,3499128823856020920,21514568467689096,53782173966661260,1075558537496329200,6713414811766565874,659676133063168635,3844569227557954140,7124164536863284232,1484040177538229727,1355624655650295366,6664716601761471260,1565467396710715654,545687014719748554,4243896999095089420,2147276976291011682,4001519663311059090,3383792534660933472,4723930565596730790,330570161568243738,263178943467563886,1382573671640352220,2183796585973394436,2436361099580694180,1896424431408061884,6154259569579856208,2711607064619951205,932371844472194751,198828772482472011,343439273834983508,3924709892882534080,527370236092325475,3515523524821446900,303654238104460054,867514916839908840,3687487192077910816,4398032471654889720,4923271348816338459,5005192482496992600,3990527160692647788,558805708604989812,4467269889766396350,665099242012474141,5038211286934857792,1947845339297741448,4777215721711897506,325067526715720845,1393036277628767430,3083106455146993472,1862299489368733038,3596651571779177202,1308012200163884460,2702009713148370009,2670627494555059167,385653635445156486,4498936150137309930,1243510916011622060,2476407853041056988,1031097178689783072,1286138761510009388,1254471779911061276,2346865661009974650,4952039839944594672,2069278591949393824,1692641153601258975,3877510782364026792,104096064929709400,520439085657688200,1672246567966537035,889643935424284962,5240687994294664518,147791649105175380,1970399147768294240,530478971239655034,1421820795393086775,4374950527876014210,446509369335949560,1116184931122071540,2254754181826485555,3776654563504091595,4759954446157429866,832920143991583560,907132721288455476,1092742620779399454,5730113517921873045,4023785996661334596,7375798725494234600,2666015928565933985,506539485915325965,720919099484281905,3312060189131324512,3488008880850604080,110883281085478761,2587071278528960510,4009295076297522555,906387751608240342,511392503737738660,1570273962610740915,1485319522631102526,2734960846833346820,3894062686476917850,3527379843455615400,919809313590615573,522570338943922413,5445814618309846739,485905360808951818,2776381607618583600,1563875630965172968,138613908494517320,1386029011936225200,5071064328735781356,4470436333258967640,707894802672702921,3030125570755368021,1432398161733038643,2767470936428937366,1674987374711723685,6919865580030042915,4745504445730439745,1652957838189427546,3381661674392287164,6585687871512899400,3192943286116603164,509470114514887195,1980996666421157595,1810809162458518192,1183105965190444035,285760235340324486,952458400624075380,6935472581400246024,74681733337168842,497838639448549800,2262800531839973624,6335934745892428908,2382982358596571718,376945947113177766,1770268965487509330,132835536206659258,5312998857640668880,7866414298987300638,90441666250124327,6330413042130362150,394780370360388117,521316087464704290,490914355874836002,4090627479575488650,2975914021770255240,1098704278465196585,1827084646716618051,655419040762759464,3168157579554831192,357303671354387610,461597449793009686,1550875800125158096,296138964720029664,2220865429525111920,7395377297755394385,4308309394600246512,586656892681616745,542994924804486960,252791957320939086,2130997016463715085,1161826809501221003,6303079964870791713,288451908117469399,48392213595548263,553009817963533200,6220864883440169100,1195488211848583494,373409958389131320,2240281255650174480,4538039560930507710,5968634231150745777,1715653420231062052,1820160738388886552,2848948732307328282,1829457823612830340,4181449459236197416,3921599281891726035,1574283366183009354,2286473187850192175,6668718060112517430,1408615079368562982,1691299666256492495,4583763232969384899,1828049614967514330,1043651666705973390,2345506809763821219,317564535476285892,4412825291612034199,1120473663835336656,5713559424149472525,2525347631443120270,1061428423924585380,2958151799526546096,6272539965613614429,1086506139091380540,1605370435544647592,1120106169956395728,4319010878021763705,234064079191874376,1755340504617053700,282169142637367095,564293245617867810,2585234828842171305,48486522528857148,727239783190127700,1280255361283092015,1297243965717183288,3004427459072604728,4923852797076965226,1682580486278540070,3321876382885688620,5282741771878889808,1741187744704096884,107471118888902427,238787230057375610,2148168090318936687,2382522374997900920,1889305328149070776,5960029807044038229,5249074680680798940,1083549659008061539,1186213372726219194,1825778695094812188,835733938537290982,1436047991598071430,484436820313633276,72399328347777375,6515418790322426250,1119257899159972502,2476213433462757375,4349063447784622518,4399569326300868738,356177376501149415,933522025863770052,426205990925883760,1788796734756885968,3944515889479067208,1705605072201149124,4500667438420296220,1262070274182652035,393569468255976822,736139269184415648,1642226292976148802,7477063475731572924,4101800363826531840,828570700430765205,704217499365332057,3353453104421018781,867844274975590329,209369127335788290,565652702951304558,6598753431950519490,1710060847509089306,3726231484070783256,2980796971137132780,3146634663351065764,499448092213891572,593134745460053874,1098062191365918190,584695161135201020,612619924078949031,4764440125289703670,723974208059730145,2978020695886833258,823491602018510300,311755074688758752,607383427241686947,732404611619601184,7275470006573634051,4274097284067819210,5668602767900931072,6222571893640680431,2982476587741509807,4152563268599805651,4054794673702886850,1512863410542864012,2609527148448343605,239774395953542255,2877062163353494740,86670687877978050,433318706423791650,2129367524376074592,4009253979579945705,81641008585727784,1904804153158611600,821290958027467166,4300111363638096412,444518475739926942,3878776648660762272,3835089555930236650,148102479714711768,2221359035492432280,5312499898751625713,4721010619376261655,2697159063908341935,1344850130061342621,1373090116588762596,1557897585196662983,2621835141400965248,3446154478478064120,4101091171641267856,1914721981923929075,35034569732241618,2101905495080557320,1973324428547064045,887437116188674908,2717354387999876824,4967869309314510609,3895337344217518275,1442751525569907630,1155524100917650142,4919429565331223859,1571364918319033396,137343524774118842,2979989069020544385,3266485602072590674,1752386087989177216,1643397583827187041,1358719575637602828,3698871597677673100,4602354221475299826,653360470012311782,5599782726950550360,809874234046719357,2616402778928699450,1495525632714511965,251188669983597585,1236877022560281968,3532238549645253826,939883061840265225,1174027299018574236,479378042531062605,37308509416271601,994813615939220240,2081284242180957485,134980126641787029,2826278823132430449,1776363609311888506,3875311163921203116,3920348329632943650,274990612701470684,4292840927732985870,529550845378329061,1512880736017944740,9223731280948320,46114947028265760,1037502849360632400,830344074340002708,1113845158107854856,1822618219642471310,608490864873210837,3740674498717913028,3393740457207318492,936581134394941449,863927299308262445,828789009524948082,2620714999900575402,3540832623053780388,1882533838234353584,1858391612314574040,3476596380986771968,388898818760529206,225654322527433296,5076813491741469240,5528398500952899150,2878598509915430868,4132175280153635253,2170260806200195608,2620973235141054930,524374097977331875,2632741800257934825,3292014699885935610,770238741589509235,627032090757101736,3746422828503755730,1757070029223322104,1791351491949633438,627514369092984924,206053508322669806,612599621163733385,5250430761671152980,2138779527551352664,1576748272011544088,1376697494536117056,4302163966712459505,2952995398293603528,842277335186986620,1106991587155561220,1978987862156733756,4250834623704758985,27189555449289610,1087494524068591600,2505453750012534822,3271932828889774736,1617310190054833600,2869959307932673593,1336377959706090312,2067062750864044644,461103452394427005,5922398994324665790,3725134900658682416,6744720167386584024,1805661996208497932,559952167629329977,4476054494598559875,970247431051023954,738729218088568825,4831156319438527263,5321419997246549560,410954609670952410,2054607196822116930,1598728698759431274,1568007334109412768,2868251904932817816,1099953135402770895,4232019424007080645,23034239019320115,414582823745189370,1842441537888486800,4235993567724815100,76431383230407285,764252103598449150,2944875537318714135,2026373921256350144,2617020054242177640,906953515498578798,4935065260432834104,2136702170419885728,3232859023129296225,4159741875093651400,6467376714378976832,5164065922483411704,527528023774071510,814797789555529801,1352445153474719430,377054294726243296,118048236351736796,674506823132865120,4487633431428158298,4559862285471088925,3383129695709116635,1199773139363297274,618416432341519820,2391361810924710504,527250503447815695,6557588743082431464,2086926014198796318,2753046499836091893,182871596654348602,1782420811970874510,1903387163443397348,648476924041107135,4322829748222638900,5158022804189002408,825135593697144380,1510932944578643808,178314277333695768,594332825893562160,645591001527184356,835790583149734230,3460159524327549776,3474346695577136208,343753198191060724,1564661143433646426,2996176181510717010,4683429354081139461,2092178222312849380,3850395418769130945,6564262893688055320,3589659286929446450,1885130679663882423,5352961556244360736,424082000880555777,2867722560661707198,916535377410226425,165806568346757846,828965685053379270,7263924273742534524,4123676458841167088,1959904368470408010,4648102364963626430,2643183256376158869,1980941789542747965,1334637177650460732,2838440357970991280,5207126259442548063,4481372435914481695,2758593894492794815,3378922530216938940,226112295084716670,1130469823016547510,187369327650019968,624513787747720960,640491848096245018,2802498593871475905,1071030157561797048,7287894952304056326,4390691066884887492,6030354506966737002,164868200674746935,6435495996131401047,4312342706580969613,5039455328499520728,932610516957867645,2779907752748400885,7808185403101186173,1110831305785256052,7287412893332450752,4275239346485149062,2380553909186191740,1063456657635516624,4479520884268174866,13755252109067658,183388474582606160,458433970260749000,4272686801884414260,308286322281971586,2436401201192126068,1493176785120695844,316577855585468325,2587089177073746303,8098481534523441399,611132352257230353,520314788855455908,2177373345254337300,4709925845511222390,1191115247358268998,488528264016769056,579695472591321306,1878259722520946670,448681871961047172,1904668256596915070,84742764818477168,5084152721835894720,378486408642434780,91770221947874418,305875878516774540,598562303807928247,2810035852753040296,583689315357850440,380435378521987977,1350498526189926468,3510168796422415386,2146976903057009664,6585410699323126480,3951963839716726020,1389566253404045088,2735295771392696604,3740820807905706885,299263988918015730,3419881694917492320,4447750582193165664,1822889207518822530,2245082025595147011,238708038520857450,2386886178914184700,508419511956797140,1367060615990619828,5040477207409229752,1451819696857862560,6046672234365977688,886920163511703062,676246995798158814,5353020068520946761,1501639964857809120,39492731095306732,1579580645335165920,2114399372898320532,4431996987949776834,1130699772023683500,41926891418886279,3353878189011040080,2878926946126332048,789836169260225175,2606594179976835220,21217731220200741,1060800150545590450,266090633748606034,2416511594084795838,1902732343014789420,5440918458133763906,353178057513731916,4497725976105853086,467272619822924964,1557448477216219800,740192583992590528,5518176898983226806,6831971376894522264,1779593257990243503,370923565465431480,2786624123349452607,1896987948821192046,3054267906159340168,1005167831402574018,190378045370123455,51008211367852116,510040521139784040,938404139216364070,122456950172280530,612234816382017750,1698790882081066014,428169349093273528,433668705460882461,4157921009548500984,568833317145158075,269098889921822136,1259720732686792221,2982704902636132788,1720677391925929425,1995960742000466445,1411435076140713368,4195248143571351435,581300065366919487,3229181229100968850,2725778599007932890,6096022284515972776,443247566114956772,1100287129305490902,8042481071402708421,1844681626257615585,1805735567932396884,3780441008937551376,622896934375514730,683294466981629538,1716897728331026840,297860048868760776,1445173608603070647,649740431577052032,1907943063196174476,408420716582828865,2724464409580701914,197411574305127528,888468988452779958,691396016450745246,1373209762992091230,3622196105429805189,1657400492224708390,4360931396402418568,6683252279116548840,185998443247906780,2324790499097973350,175101989854289175,700350702471404700,1466823105683213718,5251484236386544110,1795795577722067188,6394289237196233584,4291980013471611972,4776401749377147824,2183090363027183150,5417558175296698176,2534570259427196952,1205803679178102723,2319050959557680334,3282553877021072790,1723149865393801110,959106067587672849,1727482968795523404,1264276948363131284,7127968921346738970,1096185365626551288,4369199376567385975,2232065236816541865,4674345397520236812,2947882644139793780,4741306472487786228,1988800636938520245,1095993383486175054,7245649371658942104,4618796033033342070,996509574930683142,2798526394026012555,441624647499543432,735980806051766280,916771855271463885,6191621339435473669,1688030541073559469,844627594716308256,542607422704156892,2618619872906685330,3422136081096210210,809941980682532578,1111197878107397154,225108501983586648,250100063344961200,661758419869914366,723755631944753076,8008855756170468183,4994928192956046616,2911380227586154320,2531582117643938463,332632695699151206,5952287408847422136,88422288228813954,6189052733801496300,1143784280685459474,1856819171530926288,677202452590663122,2520467806928293836,4739216598971174880,6060793783804594965,916410864049027317,2098169901259004237,1455911351477875614,3540871747502607960,1178690791659003534,1541401910824351008,5131487941335151158,2716779790622884353,1591585813975309090,4929540574540547472,2624237009585634568,825961667529214794,1836321055893067572,3754644437183825,75086725184365900,3378625280494879500,341145864664683792,4263973238035950600,1373131156786807725,8210446427813772204,2612112570094004529,4101655025148252057,6232754986536881334,1961915938809613335,618199506959584155,2239066367480777219,898673588434976242,2483632903106695986,290258348023840455,644965564469648940,3811194797432052888,367411651653553990,35695299097053232,254945472597348000,4588641425333534400,2078721309300023940,4328528927732051595,689938134847670948,490646857692112035,658358122729502550,3819298136241386897,7036462879234532360,3350950768215016362,658007377884527860,99728793731739692,1745110394360241090,3978652017122228724,227113850309009771,441551454579492960,3026606995209988208,1247488137737594480,1997466352632496782,770636150774003883,1479855569974554720,254035656845862552,5080295164711352160,479152714890140926,1135040133507457992,955228812867806150,247664548123549938,7429325039042680260,153124049617407615,1531114477346609850,642521899113165630,3774837447320066232,302100775705960690,4776264985572672696,490212381289298748,2350180234545532025,5559852114204147711,5590646182057775296,5372449595631168831,2457624947929036740,2455210961571599525,3075681912331897076,1936065744625133130,1328604409637514768,778238757161669612,2169864855612469080,2930120446472305130,771988654712136524,843000191160909792,2264316363924986768,93956770552945915,54993896446191546,1649680941690753420,54850199497228364,137114197777167990,2756017378430744130,279165712368335560,2442498638531969850,6036753564588336088,508364954201455028,1437962275802996820,6484202077441712888,4891500688583481156,3452383089703333104,431097364931073047,2000557751950808010,1167648098631519324,932530307207708855,86949475340433288,2173557588578263800,5635947450743392160,3354592120661826205,671443603318576998,1877759032042975383,797088271731774168,6198327978797606760,1031313690428988042,3029713796172071875,2995689664387458660,3189275071669263468,765946044840533575,1523644301372166216,1190966834450299816,1583302565880419734,3838465741416746724,277557431192063415,308371684265728910,3200353724808462609,4140064161812529955,97193888933755547,188384208012185265,3139477508634664650,3299815903093434648,207930973334609619,4158275974214623020,1138135390577042570,715577997552421284,1135972222021312788,457223458705607364,1876607271568249224,1346078999556961875,1761844681042121949,2963460450357344364,3604876396699561848,4476420545820854544,294870543628945860,3964575375508327951,1948351753766713608,2095383603597359364,4614622950514173714,1289700265504440570,2674777719205165248,3010521035424870441,4359135908729264047,3916230340880012640,4594494770893897920,599935612528441956,1113268762781587404,186161964210338283,3102442768544275950,3817485163818075150,2663069663389723028,177420445286116908,867470164037535387,1546114345896443691,1863301814053958925,6178537499157041184,2833397366526458976,954378601126640975,866918332135901844,285501888223786025,3996695604748302610,547235030721779484,73744445385342124,921729257432061950,159654082427905050,638563457164503720,3807521632974595608,1853559825684157560,3035896136450318976,4795602105345582375,4810903011418980690,5433442392761885362,4686442799333612364,1363327145380945110,963013074100035570,1451761796904547375,566758379285070633,79612270674063124,4776340474454922960,2170211803162076520,5412141928622070726,5278627811246189478,3289703608810102515,498039261652061602,4771294054053058420,2433881618174495505,694335941095014350,4557010053582210966,1453117260896396856,120664696105400440,1034183073882930720,3279327473990508468,588061698455391417,2613390821347805480,1879767091856917215,845186859389251968,750321170986125347,505753074084715731,4695387233853932538,1200963833345031180,1759154313047795874,4012870080773758878,1694032789290604496,2756634853445231496,737438431549154515,1375683302614784886,3129351122352811785,2530177906520026056,623430329968658054,3279577684256400120,980340903067717084,2733292550871915655,1480086240007472490,1523278237376619174,4408228241281746960,657549093657566520,3718781723626619643,3148632082392623868,2217234099122592255,177635439113874690,874715349740346763,4435740457020765291,214826669722292392,1342555160066876050,3530012768322740040,1428488420536810574,6676420190015436712,1180623902543430015,3914864962865517472,561879255535130190,427736669040379476,2138505619982934420,823607367913205629,653620730256544785,1220067956038570665,1860322245274503528,446849983094841045,4713257268582107496,3921736298114215584,1204249081472102475,3724668253409366898,2153990696321051392,3541219973668749060,5280688274964601149,1036955721546254670,3029482620955500036,1506850719872018104,1013584598702446368,7107941614868047467,2107462817821024770,1459136145877297422,813619594229898288,1060589450305973403,2513815879687861437,288166110204374595,554414246232147207,2463858263112418280,766797526053857382,3347083456510354708,576569724240173850,935570356642897695,667243321653043116,5189238261122725880,1584728214622879368,467310885567413910,1456787891721683800,222608613733854156,1236611540323230200,2708869162974003384,486832940212909485,2654204800117605525,1003514781551976290,423321482463403428,1285515957679481384,4690514737856827035,6519296122433540595,517158031125647568,1939181037572835180,733329912786182364,234102216033225360,3121102775419006080,1880048433470849928,2212966055728810355,2515347852548204166,940380982212586185,4000094999487549531,5147774913359148228,510593989608072513,1246980672043494970,1712806579321151560,1491063243515379351,1466680520372840445,1223994500627634855,3964135696825908336,3324820940618563575,1889578105107873005,23502621969794262,940026463863860080,279277556523960393,211588434622463130,487037511032066679,3639447800695822285,577095242588484630,2070481865530798024,1594935775962226520,1625874211031708448,585232914380983464,3657400449682051650,1394161984774121076,1962311501073699765,2494485094789588689,786237033569286249,1747047549133539020,2051027027548148181,2874749551864867425,765386800271599936,249362748609712188,4229656584600437604,4738163827118185026,2230707208473149370,2263647443875024992,885025990977830646,581055233940983027,2683954307360156328,21528914608610375,258325392128579700,1291519047659881500,2192212712622424884,956579664065247744,1401647950948389510,1509561971710872522,401635592307466466,2217735544107459240,1725851633409078104,2959079800415850725,3922091695063080336,1473609116343020172,6032877658064636346,2269719929599051155,152162722549887750,4564499985943339500,3738333125762299488,842664650937604180,2253236406714197772,2167888079471493060,132757597859881656,663732468033063720,3535002502559293671,719510720881675564,59708955358843440,895559399738742960,2168931038997564177,1693346171656286124,1333613615068538484,3844571806884896415,2823125672984191368,817932512751356109,629465553653905252,2047062242889622509,2340980827814659140,2528943895709416440,4821542775233326840,681145607867305272,2300999623089611004,1222902482259550140,513376452175982052,2041283258890673895,2280640608192935956,2151184322405383488,23576360330343020,1178719281838738600,4614592873229311632,2988680467582703194,4962639006001875464,6012977767677431145,2320226066251227948,4149586513960884468,1291678608483242040,3623882086322298315,1172347902058701510,3303697420885359384,1142848264427824916,1509729495104695048,1083761136466561560,3499758897325631190,1989817374473970672,3244069010353522755,1057939033089624276,3466974702146892464,1333822272916073790,3576064719810967368,78356019665994225,783494485403559750,7508631767356212714,1383117709322465380,4753476858141843534,1630076240165082252,931587409140986178,3321598107424690815,1277369517906484755,3526770217442999610,5859999233232722823,2657516612058116221,979362938111554088,2018113178563579230,2051038813024722164,3445840000773698375,6105824164825069761,571524448308538491,1952536381949582400,355537949630730132,30859946299252540,432002974953299960,1234190579117066400,2545235961204183090,1002087344668135234,2302967335784422260,436252747679733412,6522700899795182176,865043936727964725,6747085078347879144,1819223542209191652,809458401254687205,1349692448714734215,201904914458251575,807551801159250780,985958541458150096,1996800719464846260,2808881549073983325,2415764282093979040,1086044103222856737,230674196160449694,6150794853904719840,4221950477611594448,1435527717821700060,841633174770577956,248518728262227835,993991332958820940,4347641116711312520,246481337583258560,1041705582964137369,2451238954458822213,1852545376504221327,288521492525477616,1383970923755236590,2685163733076811680,248591738296810008,1242854125850178840,22440614793131701,448774534578185700,475036617162506406,1972322237708084550,1268805388313841942,309580555450512462,3982479086232851730,2246226957535319805,654208742957352525,5087861918253430750,197935223966638164,1271265762215925660,1757193491016416930,5181452859478442166,684150309710890543,657432028056072041,2344754277105165810,1873820338534119410,1288751744768304288,3052967042759411472,2555543738865360168,190523442021780365,557609575924498944,2044580436122427668,2092756019954152215,6375816569264580408,105018338663743580,1575142344914471220,6881895136407867792,1982421426706402809,3022800131858930927,3157023956750461080,5010945388320054504,825423244041202966,4192962079551695226,2792905405247318472,7282005164730956565,464853342414310731,667734439625348687,2528896796837394645,4549161487103502675,656585594449085070,1915814964088923867,1732725292372042632,1209971533216312332,2541976886595378260,678267968276659725,4306876260739765027,7800703577909139168,2217784014423106569,2421697517836544598,817236598769279415,984908352754703268,2103002300815877112,5077308557817227034,538023821746604427,293804003747023740,693210549339610141,880460453478638136,881589299778045468,2662590676240888176,225556603108571250,2631271523104498750,957957227502377312,3811578670767002724,1556941006728578248,1495050564337738880,219346719646373892,1955018184473202363,2480244349559787144,1848956211526626756,24928499006033505,332351907399023240,3323238288070347600,1586616391614086612,1351855801579844826,335077592362292925,1904661168733083624,1246554459448859488,82047256485188139,7383628977108615090,2378220747122245560,1686968443627381845,6648691249746602109,1804911607170708430,387604323032184288,181697777422186610,243250598490217144,1824225223646602620,3252371806817466088,1107977689300448004,819501538034618190,394148341352596836,107727183697148977,399389237750452494,2177581765379399784,2658621313159458840,1515441165422078763,665097189537635175,2553021614556266345,4322444341383829350,1126391746774141740,246752107995410492,2141028065019615462,122204951869090596,3665838251601412920,5097841874030019780,5462930850977549493,7296541262697700008,1096128711138218715,1318423322424798708,105998803644317000,1192385567620239750,3140791907123953649,425824160044098220,1131255096537893418,267116788107371120,1838765842632138812,1089996769750438275,1285640653323155112,3914392688418501260,4945566021608823840,1816177443251669985,522839768811869752,3885556878000109323,2448527257010523006,1710358501967269470,1351458236277857574,4018500507817691872,5834280239513889975,2507946646722792387,83513255574582270,835061759452290420,1435726453747917069,3714807805196905935,5035493718334749456,1212692231019956295,7721770247165456757,3555097720227543415,116409926303475726,579853713255628486,277024036678991315,741145846703328345,3649888084376320362,6719743159359356256,2142556790640387948,456656749034109120,267990241614790753,296165441948205255,1776841863349499130,1364618308496940116,6387340121873364015,998719489442829906,1418904426407576682,1237136143289169768,446536276377224106,5953311596999486800,916997279436081528,1988095100802293205,463476131419571444,271411091186422575,288986160306455445,363049006983683612,70352765507010654,2813871618843940560,168943628410193472,281548797372955200,1194184154592842874,1230702994273386720,5021434539857183658,396129448812366488,2132335601308584090,5005246649087268048,773144755471421145,3373019669380677035,1935315854658657243,2805298354226461080,104984968101970610,1889568801474843420,356974713638737914,255013467836751336,5099835765525991200,2641393838029493188,3546967897365395363,6413384021981429925,1275680042758364112,3618994803295787525,1090569958114335336,114640803211117881,275867161728927697,1031302926246401823,3617215688814831930,1613704850473051576,473025632130021846,3123902755710797420,157279762894312271,1405477325064627810,67979711559632114,2718957066729387440,4962248673889291533,787745409169272924,3102695607784665585,761758978375315755,4231634088308632750,5108405426567932504,2701351737634410999,1574765675747268660,2300675224777383110,1534642403831728290,4917561442806992664,3377132240550528213,2214317071799886960,484312848732583227,745571658472367017,4557036711279959694,6483129144896221245,255302860843524790,2448206995016436678,2417247329691275151,6785975743111283688,6015643794825114573,3641718706714769010,6027048674281999336,6383928156389156904,168551073641598433,3270351286286015252,3292503454779719355,1687500212796117738,1117805361915134032,3707579260025593029,366534226572188832,97843895759636810,1467533295415216890,3332535604294088610,2808564451244595456,42247420582469412,2957067224007975400,3782271301954715260,629354541651350736,677403505328082657,4195832876292072128,179069654044760520,4028723474467204620,143736616036428285,2854346357588993385,2552018440791283340,6952224345552452925,3179259013084750536,458286871485947109,1984463690787738891,1658398216575072843,2326670068239201160,2904728056329035956,1677642388909840530,6822838393425590679,655795111147265894,1995921891754281540,3973871786465619750,3956246120307962103,2758225796503956432,1353460992239704975,890700505272546520,1489420113576786018,3761074511018681920,3614027535158652816,5837521103010846606,4446950186453938760,1110499071216066984,728835546940979364,5601527493569978672,257066650175808132,4284078021657027000,3943393069041443535,540158751936883365,864271555527139788,1296982140893115048,5713047047803750,114251172811395000,1428017561640062500,1322135338740390355,52902288555794979,1057955297857114300,107925812971810898,1294039780586946702,1289133430397667492,1686729111075369384,5971367394657703305,4143335613725717227,6658242323940803088,1479055215138214248,3074420572412191525,216005028154143570,868419086476415412,2672122140191195424,978280202571252875,1604451234119493069,690068848217129520,534146615416630,4272807161898960,32043310577806200,213603783437932000,1440347602595686785,2332986696061444052,2986020139993209404,2844371578748850330,3619323742268036026,6888378094262466600,2562747103382857641,3147747033646313412,572679040035567765,1986324812151642921,759261996303361095,3231812478923498064,2946040907441720427,4826401959209274087,10453147297416628,470351322850607100,4703110184099640600,298881585976846510,597711943579480620,2436115991362483614,2614513082980416065,584486148112486524,1702799720586672555,1647817040593020222,494845850855718477,2585761183795097900,442133510416953321,840697691337528675,2726369687869702056,4965591705856722414,1607179515522118785,987740806808603340,511414411134034828,7536557263165172406,5090714473989867656,2074671108054734610,19458546519112362,1556550164844265440,226800734696223674,4393921479521890128,3029897665705226670,3944238187302266795,1405923335453883267,3515058113112035785,632687555678322856,1445478459714385410,2139663336296406684,917095511380807976,4062611188944722223,883519366393704380,4424923656046950840,4369062508081247025,1628807927626506613,5491443017014662636,562897256592364506,559823445861810935,2399037265007135790,2470229750490758757,1366456351257940168,1700223535237151346,6245945299857729960,438899566900516935,40265713598694974,1409178879378551190,298052740409258706,408161893919919615,5216669832420932496,3118319215995469494,215438054361690608,4308390718726059840,1944136834767678640,3580533472446607130,305618931900164556,1942341724367164044,1143806516218197310,1157485140497233560,647571765415821098,479760753393119679,2060538608891841900,12873084981092828,1158477995875714200,3447167714355177864,224014391803215640,2239951203114816400,231787705813051749,3029423252641311800,67565254318466951,4729160831579344230,6890703473172982581,810862884994182134,2857234624815423615,3957562864037970252,3038515980759255245,804213847882630161,38260253238053883,2295417567655284300,3240164075070327936,1259609591464194376,625861491054194598,3951087158598310773,515171917269655680,91859795608385592,459259421252766840,2934784588638597070,2226234070242889314,1169498167909808280,2883539151967745752,2992100481940102368,1291962531725499792,6005153521794424671,4853981573055173195,916224202426368726,1312242864477574936,786327003989187507,1251163894535825949,239540566862807880,3991998659378042800,2110088535462821571,907500898786757722,270144727692321505,141253946633441415,1677513326961965289,3305336785858403324,3648043152070576440,1472657068936530825,1931016287211423825,3151292062979101314,1424590132911156090,6017839901545425876,6455750970890058759,1758809553071585950,536359434666633360,1981700401572169443,3975773453891865312,2123509680299628375,260020865562631590,130664021264380587,871018297640928620,663145254327172995,762768144699129224,304586518252955415,817126223349003615,3129637560542548348,952574514463243878,5887457610561895944,2187341831597899960,1797175969608759890,1132225048294048368,1290499945335897898,141037518993810846,3354837519661767630,3392698776622653736,591460059109307355,4043650669449987960,3863024646143216373,305180608225133800,1144328402965760550,1235104458326439264,5716449370971923744,1706631679468267920,34360263704297460,801670196081684440,2064386791492315899,3187154277616851448,4082815559893033614,4392130259014036380,4160654443806983392,505912322501590810,161946316825555347,5387240409832477021,340180562266116565,1943720827049025480,3668382623188730610,1339823505538870952,3301138082478864012,4869139948375794760,848861458683816546,5089653859039871643,3922413488123649484,1527200590926672174,3382727899848864300,7349093276518532223,4734824270600308527,168327278646390612,3338046696835170652,1415033140308947990,2007634635998251218,2903543205078157029,3404574272504796855,135439627190418684,1354279016786921400,560733560898334486,518682553868564742,789195570872011856,831167831321260518,3224112681163050630,286650462278938668,646547941804673502,3448487905025774805,581333693458899670,1260504519122632620,4262208456824943723,157285707821839069,2176501500217351491,954402420524089668,2144924596230887700,1399231462690788240,772321057752912183,268964456286526008,336176430934522890,4106767251340801575,4744997334383561256,38516576783251832,240707735637864450,2888242403389524600,3489733631762107650,4428728806964272848,3666194604194702736,934793509011216495,886664240044184280,731064606817884390,6497788437071912480,2545489909211341965,80115294396406160,961300133907391680,3782110523165037525,799305365942002954,1149685691163554829,1351230876910807974,1662902080511389710,1413275906220141390,1329848302934784312,5864147456033506952,3416379693013830996,5614185553809924042,1293347081597963140,4192141932897230994,1370953246207295196,3572515606455432804,41623558705634781,2080997223603644250,1567808412127278944,239131430033266933,5620284257103149472,813142257023008032,1244754650008196705,449676670400443680,221131884691579868,3316690115061900420,4178366741181060522,1270094674197645975,29572349203695930,443546693358704550,1904424432420351171,3545411519624072968,428701068756449250,3196579181302963512,349849091721349925,1128991252725639342,411213140552661103,5177318676030703790,1955396812557561372,3703044490687179354,1085874508418292396,1117271896400722914,1059673882953507960,484623189276514476,1615270136509227480,3948573804647313944,5063727229278420045,989631320850964380,3682802846250087275,2510744582356287864,3435383961671165811,1794831786928117928,2215910633260059800,1952375444419441272,6053359184943283872,4993670542906639776,2241710711162028621,2217386170645085370,3951839835979784424,2087507223405204417,1361518656782706396,586438731917682506,2449895375126870190,4763189225384305576,66041052470859879,4622471110877048730,5732427177639940568,876359184362286780,887870000156348775,470978406299342420,303759501403412751,687580404305503212,227105875484124960,1892384079434888800,2115618112409895540,207131203410818855,295875934938069350,3943569524211969885,181182920243608855,131746065553781424,2387282112887414235,2875335359724187725,1423422987071240760,2793953476164506208,632627804305184748,3143439558560125363,2636869219213429575,3291745969717856520,1514216945467180484,34698084787943286,346950587390496260,112866369790261212,5078543644844550900,5478362341215199722,1930370024973638151,467085482889375744,1907422995880438700,1724747223180357075,3586119901166918940,2318118045183199680,3993330543374177055,1224422201086443825,6948648909690144840,704768055150155748,769503786017551236,118088383987978929,1518146685297132570,75987861890021970,976901499939569940,1733089089700144029,800237307820995564,1389258971694013371,885440280701564450,239441786642715165,719405836912354064,989607019026969872,3045308061975195420,389833760180917725,7016394696094285830,261991054817246853,108793717693015011,1254763018273134065,835673976660260160,5777240862154470219,1444897380967072146,3717555301227104862,291185686678432298,2815749892639619705,6089737799540610918,527431316432133932,753407440321922360,71915498027612253,159798245327683900,6391370927939317600,1395191276737842519,941802465139774430,1059272659459249530,1689489886382918280,1543151294351614095,4634495781588315048,3898050985997462160,553147184213979414,778293277903585395,794162997915518421,47118001272411277,471138784873776370,1606997241870502995,2770042947862496640,980699138252065376,1563695556953860428,2849090175271256190,4137011661535954668,1087137733733771700,4039873399672747568,297746150853362134,3827829633963847380,162230321411497230,5677564065073934250,4217002172689460679,1479810479404395272,1089137584454738904,588552998988905304,1912081890467211615,2681541920994728105,2520928276014921024,2130521254330632544,1134810384621239753,5512415045378868585,1865479125450965085,1588417695957626392,2549845897333880352,1624219285639811193,3316911551270161440,4067087880501361860,4454194013231586211,1595914516546246347,2898228367022828112,5772630446494884520,3320155274830381284,1611593576802404046,2256219151133880372,3440108174421374656,1238360998255742025,1630429521138889449,2643417036077075112,1709688481744227285,2333750717370983148,2319033966546264360,2012773340385969795,2790029979331214152,2237724020561435532,1402283062836784998,357179755319099690,1959727133124247296,786330790026793314,2654858069077957631,466679041838594562,3058155556475126850,435562093600876352,2060943603058202376,165194335114783542,4955394956749047540,2338534007847513135,2214313248976591329,2682185098211252364,176527977640086498,1765124746996751820,206929411325273205,5517632967770310480,2021909706822371808,35997716675195051,2159673260929790340,2225329981357887360,2036350353244699863,3348194130937961448,104258506939226685,1042493452725375150,930951791993661120,2886577407133790052,3467687176764963036,4806073003888966932,4888226010723045183,3176610064115895960,2732874190109605115,1172581138357760916,286621688076106745,573192972189203710,6052239610100028240,205893683239107614,601123248555476451,345706825012217184,706667994609823060,2337707727707828220,213861854295306555,1283058244866907470,534617531450895540,3047598608847379398,433450634745844720,765551670173135079,601118840385417069,5342808360763786480,264466385786841620,3173317312021952400,320499229668562558,5046860752344023347,3518815473794983356,279305180464219804,3491007381993401750,3244067090032801356,2352152248232906144,1372539257372940393,437728433791945455,961054571922952100,2243749416710436768,304867327119369957,1354846549848334120,393378122520780760,786686937367729200,2969171344095884879,536072339755818575,735918087470641191,799501468259296696,1664771242527129135,1179189135533469696,882051458979100552,2208697469242844616,281707110049447089,1352479653842862660,610041990769444496,5337396848305604460,1520306093409896744,1986633045063320928,10923848693515530,491529845015426610,4368768889005256800,2026277858676883608,111774739219460838,2629284895530684495,3558962367918133512,2250559241248188465,4433629164562619226,2361034996052748282,3102010673247848915,305706889508330035,2327239971187366764,258728574309897234,862352473285024420,187491884272709025,1802743767210731808,5435694019303236486,267209599465366299,396799270127682138,3014938090517351940,470433901150833588,2090632737874852320,1123784749277663448,1010535126661944747,503666804575906090,5036223244569431740,5424592177374703344,779908544261100687,128188349525059339,4122755734340876895,2311837010499485975,3538932036220192395,343087503502994676,960386157754450779,2924147405567967460,1447449258521415708,1953572539679376108,749603318634203139,264261862273954221,462690200065794440,1734934880151354990,137473585546676994,687307161644452770,1290971541140606612,4872852008453263695,2282539132842673524,3598680383792895296,1856306585257095978,1253316700435497078,264783584027242500,4633302881920308750,292117640091724412,3755465999707251240,188004994699580595,2506511495251261000,4618429178260797189,1606397976805920096,2187122904597733404,2151446932969876272,2694695421534719580,3177278592626810214,733685259453563784,1148871177079833924,2721889300831610260,1549356778186215990,237657108279582258,4406219803351564404,2327004454243779108,368344913707106667,3200110446856483760,4301792394216003552,603963644348165016,1180747297879568996,2940882561933226374,5592771286705411725,5453051164706139813,2215704248407625633,2817694946863724964,3378393238013014438,6530361519537388575,2781965142554103096,790109663486931512,5366944007085054304,300012550797882048,2720970245775279020,1224529895323405970,7287829491951346086,3608234670966904815,660656490001521734,359710748869008180,2569134683664582200,2004673814582996178,2945028529189631970,156300743325955231,6695172244551787695,136854171524804034,1368420331244937460,874654785215293548,2296232623274826795,3493487447990913975,158206982797513176,2372894192974878360,2174110106908959012,3674650237449117696,1358509031543497320,986587765353345536,3320287537516980136,119815061325702810,3594132792544418700,264589155100904735,1345820070234267663,2582791628270367636,416552635705260781,695259664575576795,6951979299393645750,1834062258836846835,1593382211036377032,1427877796379889856,3606059282747097264,289546197513841185,887971823713976878,708925689257834990,1106409490632951432,2836911020858297901,701495374314758315,2883899437103026044,6505960390085503305,1391366186373214972,424273825637017284,1121835597216998475,3144530451037114012,3084932290702319118,1707189038536906204,806365584261933906,1436852093229180090,4590223639205014538,29584217357258836,295815867607146360,4595357371839821991,1056665598128963900,4337098678125675054,1481648304783888250,68293056591439883,2731479272421091080,610876788104277080,4258346361595951933,3388548584335573161,4034105709683389584,911609691905764548,5633963178785544840,522656332569244314,2022930705318621732,561229029283048440,1846076076150563478,5061605738561280520,1249415047196211222,2181161006134417996,1132169050337912864,6195550126345574064,415554433734923995,421590625545845925,145037155244315235,2030339344354688290,1375095742338134847,3596866148033916975,2040560365441979424,874115862759309528,2509953549868993473,1043444983512579717,671294701208084010,4884456140424307248,3702684301562034081,283322020439642550,3305129006327720250,1310820233044828050,97691371682514268,3907306569222461280,18192008405765706,242538489486654320,3637753012397718000,2986640924704488168,3858974697343852304,4562429943281852790,2617506693870077853,3295503359799966105,2582582617032363420,4619237201355823974,1164337610657678739,1264422866023505004,5733575458590320415,1372183505087414202,1094725781647175538,2809461957766382856,5362280471127925324,708703021799786490,2076616297177780694,2658213455320100905,2682074785218759432,2063189180670968225,623559088497789225,4849471099291634550,1312785165814131948,1919523094983317670,765753161249552079,2148003210381293670,2016259076424073692,116778858385175928,1427673970249405948,2934833234338573938,72602431960668480,725959471711294080,387568389342580588,316861269556586034,1474670930544468518,80364992122928095,5625046824093147990,1488070640117425526,149312015168569363,2732069179555186092,1401544876531792360,1321252046698532560,1278066496750845786,4084485102834413312,990019535513967592,231110781595907325,2773081438163759940,2297748800207285940,707689858411182771,5503762272154597570,4054783724176580815,1154912992127960769,948186653784948954,4870097495855109035,485589061687432854,18111138092204710,155224439320658280,776052762602862600,482483393276276973,5597283945526618961,6474210920412675705,5081333605472075518,3167831822346592464,4513434477500584251,5530446729470771437,5017109253821089160,3688291518240486726,1963994506509393636,186961316070747456,1246297183898376960,3461059504851450810,343012604346327363,335691218748874617,759443238033557028,4123694410471280817,544648360660654575,602240916387563668,1113985689435767787,1937446321288413672,1457220085505796,7285447664868300,72847949202631800,2185242658114086000,112062366960406365,448209299163920940,3765373060164511260,5032585581308741208,644688062198158089,7211958356659193091,6043164490804090696,1483779092258754975,1646004358250238147,4545624497624434784,133978441635762408,2679328561457775840,3919974373868067225,2607227196448950120,213865991786840148,3207702151794277620,2047647538977226632,760838432670196880,872864692257574578,1479146723152885053,490010980021953260,1397324259162953944,136106116907494260,2223260192381504372,727341283516602752,251502437720163087,558844144522834540,1517859800182959260,1725773690099593926,715374219861647574,3488085589954149693,5256948768663912336,1078445145531149920,543533832795330783,5479868779313110848,3667173178386071672,1687891401247634325,5607864594743709060,3096607321882335948,3535764260893383561,2045359951572205188,5982934447184649894,217095382572497140,563400120579008346,41225892497199995,494666256576221340,125441864427247578,836203941020004200,3869483172829258928,135541786828484976,338824009042020440,87764386039282266,223606418080187115,5962301744105297840,1131205839527417315,3939494574317181624,573232345265625536,1260566907137573310,5472745802435397048,2100618063115307130,565794866570872335,2529482554653283764,2016802177392691325,132385000064829930,220621817053345950,4814699436729190672,2422200584994139566,188326396224322125,538026998518091500,284485509133790861,2197040742123629655,3468557442576684195,4530833042762209190,239701252091933136,4194394299680924920,1145597051285006037,3065617470817203210,522106222528646185,827347060497683576,523832103663744420,1525360537501789161,835371472649917044,763454324997281130,5523823586546706258,2659934965654192995,2577509211844009260,351097923847611018,1234589450805110080,4109401447967950434,2227540674155144130,2266211400929121475,1592811987176772045,1016070124721049560,1117862762016701992,1183223469831756543,2976059618418769352,1203923737897907185,74539703714818635,248443278754242570,255879561035451573,1705709929769225820,3552884235934218792,887187212774814850,877570573028059230,1564267437365802540,2853968066425343992,3706027934415179220,1099155738958924725,600133753302828956,3266981932976690472,178262501854680850,832127594394883707,754808381387285130,2296355652441751765,3597063686639997630,810337724748572538,237029607931165900,2962602665906956250,1683938220386464605,524354264046828414,454320133911852882,5729687387793327384,6998549803971015510,1782858352283103111,714936171034287018,383299699171546378,1925642035154356656,111789376025532120,2608183172003501680,4285870214718675424,1717282878014917206,1281895554096743859,3134697100522306775,4131059718956077386,2030190456133120504,2049266354905973854,536342307373116399,581537513317388980,948210889259443364,1553601543669416688,4180042195504055251,1578658595530107884,3040518153721605480,1297187769945008691,341588213064117815,921108995308610712,5680482126065065168,2922082468726959760,837441797510618622,3597444664333637862,423450911391134799,1273330767183801375,158971192896414065,3969100594072442265,4658393827078315398,3014255609295882315,1836966238643873764,1844099507556318375,2893628494313373755,658562173199538927,5440683400708662396,3349162654109566847,53936629025096720,1213464297988255320,1659646236187475631,6861131362087735248,938957520315574134,1441322121689036950,485487975308482143,4854440114499062970,4383312138324885794,2800560943093488684,645724294712168190,306569296726623012,1820548025283730456,2748598431476059056,2072528229450247296,2500360168696461180,1577163045008211960,1534085832021428656,1319294760185551576,492024375552314688,157831590616601330,6312691417782841520,5239461237653856171,3089330423940513357,776354760070776186,1869393763456223535,1471370788849910808,1016255325876938014,3951456335787330522,1205268510989527370,31493046058203415,314901898700732490,4622036894933369766,5113454442291176607,132521643047932161,4260111778304909640,2278378402427432112,1335241698797569491,3455503709739001435,5148209105762513346,696616316152899540,1256648423472716288,4671534091151222382,2628479658567790212,705363860721206982,6905455760901455190,4367275576862135976,3541408626639113160,748993049892112136,1460274193904086788,2421692180544838350,94352449216687158,304157327426868894,1458720494609342974,1203946658133211769,824870975893799760,2917937020113115315,596676401195748258,610324111254586761,3400121646573543186,261715689181599670,1553238469654475229,1732567532774182608,1134530367324419265,619432852966022682,1982350835421250305,2275218730745513712,2364589911974485905,6999278389779205305,1330042690601558854,2632596160014823920,1174195571824642608,4116959942004411576,2033121007241462160,1052774129991190905,379935010700062305,5764151606064480198,787665621351711564,684897928501871816,133248349851538746,1998543417583104150,1387965983960767696,2502236744776964064,3800560091376764005,997753684163313514,254377490758967580,1414322762402651032,950253906178321520,968359982712713802,145527294115204784,5092991634011016400,1068070275689722002,202981251597805044,3622379815758132112,1171691697794492850,3060218143358716815,1729935984983125374,106728131148258231,837383737903400361,3416573124550059992,992292575048774775,935862869482256652,3859301300212304785,1257246947196616746,5405981660673910197,4439002041425814765,122992282538513082,2869558403715235820,1136121230306377945,435140217600122484,966890125396309200,556352702593079490,2604419915973299736,214618346815129516,2288687320625766024,1500268774932298845,1399264769889432840,3067372624487232537,2242281101447979975,3308441032566417390,57558914438592245,493317124586454060,286289092874067336,1073486165108625810,3898784845983106728,1603973971115424900,158666472799044430,14569065526279554,145677361038476340,1456640671848828600,210696070597857045,3212347541718541656,1279445431830439924,1010537939519221284,1348975961528411012,1383150427407863820,734380179290793186,1654837683233370078,1609004279968727684,386274834501450420,1444445280552532840,1177243077067030280,3922357041389119770,2341632280970394369,741919681291642197,712711938135816990,3823035477337262178,324721995372546315,872354335714739664,2753506961937944937,2824773778682583860,2996658425608197,269674610846494770,2696499640760366700,5793459724152839511,164844750183952690,161008122325607892,21142302183508377,845614771207935880,1639442550335858478,4575902296805899380,1147927350145446954,764540514872960727,1782458689818440079,3309457985812830048,440373317635113250,5717749414605385284,262824355510261488,92964475234363447,293189550112998966,4097522014623345330,3396031441060795644,1622558772057259161,1186606558394302720,226580662400369211,1762132751622023550,1018269276460495014,528705312319951456,4853898111350390013,2097703377441806064,6608592975320701560,2122819658501972619,4803542761489163587,5452901500627596294,3509942631365975886,2259814287708096510,5112181225064349936,272469920686620312,4644965042838786456,669892654090622522,1563187255686421890,1340282538070012292,900512523394786392,2979594936036255225,3432949994914822347,1520026331142920160,2436817083661981464,4998121988216031672,3123447145729438516,4683309962550005502,6224758584239559560,5279209752341062489,1031237686556547846,1417599412552355196,210724818516032690,1264232973665214900,624289665206219130,741612710199592,7415446932783120,129758418695151400,1668169496562030000,880307285644226898,1783287817536278943,3880348239401589512,514591659389251224,1402241949734674590,5448124117527705061,766562333492413083,3249029022239205815,262377045846263994,1999112598031291155,1553656431297251007,1006707043514893824,2150858752322869692,3746590474449829376,72558092253656240,634825012051059060,895973773965275789,1503309504730085811,1015648923565486764,1624741880400598920,744145169573772458,2426244083980384632,616363233643807179,5004138128566617607,719704057793077725,3305530639048002265,3471011516026345014,2232654394339008144,439900275399015167,1527539317760244675,1273368805623225684,3199218997959276345,1331051911541091894,3839100734930801445,41241394481239285,2474256170468196060,236464508503335735,162460618996733655,1299565438959482760,839635568772826320,2488666000178248172,19540878313649944,146543107237011180,1465296274988722200,2007021257752549770,2705353249269396744,1098823919542789672,172302035286208977,5168585431337830290,1535822792554654925,1484429108918739818,2607962762171310498,4185046165064072085,4612686626200786590,4213382818674556170,187141690475207935,3368240315075510370,1915842061088600544,537187199438330232,716938614656746230,437991740105513223,3753869186143058460,103336978394319432,4133098431138438720,1540803986666469990,3385710222449131626,924222805606318410,1191754287367520216,1307640703309669378,1349587100653154760,1916882483912261264,2481018368191111146,521186048274921090,1407351924483606695,4413950576072077185,1025419820360081952,239736190825440661,664002477892266759,6639412625949896010,2038207876229364725,409678823532236970,999735656394199728,3182700979128071358,879809182823265984,1057735003448068950,2579553157560000032,515587723580588912,256479633594865191,1704868779256194013,229018426134305630,1485840861083249052,3722639008802369868,33515292495770632,670243993945222560,1031790147566424080,2065796901891756452,2101708783577979168,4309387197169528334,745011715360385871,2467367381485496475,1189613444707192272,655535172906387261,373386974435560086,3215653074198411360,1502965937833188240,936721026972132645,2299499432556722368,195442918316017988,2458589407022517156,1891342308134547000,285971162930682174,4289171143297680090,1202095139666116158,4509221089186671224,1166541429162403425,17639556879096629,529137800615747130,1102149026488051170,3966222598240706676,2190508231664115700,3142089584359763130,2433775447104309088,6166553536441294371,2726865120486793656,5829538795328031660,2159016171153925328,955263379318740,17193150618133320,133712136857720400,1527997362910560000,2579318950330491782,2407975514950891872,1251338638522018578,554650344821726604,1231551361136795240,6151842005463958584,4541303422901751438,4456011724298329811,1430243978711192778,4526584168054990590,409311732819015198,1216471117119748275,739585735305516606,925564940895234366,56076004673385480,467256771762677400,824472486013908185,109869768187467084,2304441563730303361,857918102589559880,4848813068860799088,3381106450931442595,4261226426871182062,4925663690223933447,692088599466988770,2691380182933488081,1117698982246215,33527862438084450,186248641644497500,2979702101436600000,650142204874468572,353108866626656816,3200336909986359276,5109154647317291795,383864467066956245,3827865633808100310,2968208856752747892,1522517494469150349,1400388539533836084,60164680401030330,3007955038359069900,1282181656766930718,1075481713725856584,1156881894325812387,145802467377701400,1640125590497644950,862204584670309182,4002428318661639867,692903802015045442,395469564237273270,593873336424369675,841193678422489914,741471917116247110,1918279718088842286,518127733195669480,1740801656675962614,3606094347824064366,3216558971401672245,300190113404200094,6319907784810045585,247753986787806094,3306289704355032549,751755617068919832,486624203446273723,2421938687464422720,785327274503893878,385647134599396980,594382392220346571,1797725090216742624,4655718836303504375,2099640828497652856,1309834377635795484,1272608963229086388,828532402213309210,1576316374028305125,91013326172174102,289576410423449274,3412790700089965035,1408002859498505508,923618381377366170,18538052676594312,370726577968374560,647586456326691708,357162189977060304,384393122330990715,516570966645647503,4623474449139385056,2564755704498616734,2260803257388078875,4197041393327737650,1044324708254490393,792118510643942834,558446956258996620,1895808371614198689,1448518457403310230,3789108522224984742,328210549339985595,5907239975906551710,2267111430398837820,2862708188629470700,1136485416417866668,2202005367380380404,803102904075677095,396877437104254580,212881658625185235,912264997509856590,3004874932881884804,5795849024710815177,670705308464457308,603117165196150240,1453552882520338578,1608566382430368212,415075791151156430,4399410883902703488,1125889597234565695,583022069829781512,422367801754846662,4927165081180131790,710730026078607868,1765770694618501620,943591399395634236,72575172820871601,5079788444353290570,2393356077239069682,1255204242267884825,2424850288026796584,817818242192333522,2524819706103797505,2602010466813271545,4442051451867299760,507643572764348848,761786711818690383,2041704433248043528,268266426766875209,798002071340475630,1474439643344449640,1604431869624548520,1318927794954735264,253597519311979212,507086705722629355,2530622837470761240,993860249016965084,2027101536877213310,2010656681385059160,927214871033584260,147005098754189556,3307305857290186590,3801499051692478128,762276437526538152,1562800020477469290,973256774692373937,204164190865829338,3652125099744845178,5922926979810114402,1508024395239223020,1405196920209504294,756591673602856332,501363693081302697,1369700080164742104,36257555028992520,181270831042158360,1029341199387153639,711200245993993637,2516659181827023753,2595015924544937325,5723330807778586272,287734936321000216,4805564761600311048,1390653185835995362,374216237097812385,3909510057280666824,3018275850663904068,639131204688989816,971282050533210312,714388476742086370,524464381102210846,347607490354591641,1773631972609761432,5148741040328124280,371775695442341790,5487348750584552896,306631150488369064,3449277561467981070,350982361597834520,2193434409126676250,2395473186407111460,3429964851772832195,343218299967517544,1286948108360110410,4026030927728716200,1956348444797182272,1739291362682037210,450170700799925248,716532114743583885,3174590574768073005,1499271235072178106,1826699911855996648,26319707689974402,1315862079625883900,1809509177879065325,2964309161352624210,5700406817414001411,1978838549580470102,557922222719703249,285503729058605685,1759409815300237467,4575571336569215832,854441887318140358,2954235278202828450,3495289025740280220,313688147021924985,1739126736270570462,1262922802420635042,539517029585525268,3447568033902313320,2660499620557722525,133031547764215236,332547668688929490,608900606669017104,95145664748210480,237841842370216520,453188528579680764,1133909439454842471,15665159948610435,104424597695311500,1566221940148978500,1385157808739018884,671350996053834015,4704846479580197784,5397398138844176265,1432493506390432422,746952704860201186,6458990643839121642,2333631555413952462,593974680587261125,867726932526947346,568709656429495155,2048668056414058845,1312567646433770900,1065386661330169080,3621201525914948811,1532592698146947570,2642807922424738839,2703815622851763116,5125455068022579430,3793963675634566959,588283916592665036,2152340883609967611,792622189167314454,1384763904862873325,472223767524932176,409490489599603764,3250312179758508564,295557536912683262,6525177021007655445,3811924079415909736,1996256717358012256,951344402408265804,242199061222410718,3210243700848045435,651642981385072212,2171938902721563960,1882198858946318412,1351714206174708096,1280987987663600430,4592749299533528625,4735167255236990976,4595072490314018783,1101330798075066428,1470979114569630810,590732542572413577,1398213356615848812,456422871248419266,74789366367483384,1308690664709750700,2202576228956092356,3331628183380980840,5236933372770563008,3228623473729753584,373535877702488055,1482638972613287409,3498822913606625376,2479509450469579820,774290526000238936,3476249066202940080,1185447041793205450,4718854063710085173,6644078586300455334,1888806522426986931,1471029784846892450,5532288034976027592,658423352890126372,876131314153470864,2840844936953877492,3179245632710559705,4799231081222318118,84371268145688559,188091953850957374,1526837061435399304,2866323796785601320,2779894391469297000,2386613860249472390,1109501698917197208,3682025360833301923,95363377618627110,794619826455157050,273563503805115102,814560229934519335,788085443169728856,4516903013218195240,809836621393940982,305813155210138725,382412146506854508,2549173621276964880,2311488158343222240,331626372379541265,2142435864769361922,4043865174234386886,1079368792567960322,320217131992944670,735078819378247932,302122471873540337,207607258954487406,1482768899307188100,2166661948185864945,3944391936072839256,444797809484478372,1420444907027154910,2624898614655638489,102974528096683800,1029647953897926800,3238522576504469202,1003380890626573254,712227447277055024,1432275007571788550,4988585055453214632,781471670809649778,2915015424998818488,4596648563697312234,2965317314747513700,6338081129611745799,1940048665212136338,1237388868886224790,2119791080831789781,1046710178586710685,416705391241545723,3052232552012565635,3777877271469745710,1639968024362513070,295971691986248320,5775264964986921672,4051577614870649384,4128476540884294564,6100627133636288559,203364117350166435,677816214608398970,549968245750352424,1374790430078291860,828986506979567035,334801455179556120,183574608603978306,2072635403563014564,3318570184142941056,1354066744465957890,3313188057443262705,2111776361904960864,405329368575794481,2637552991452527560,1591693278543557010,1230461623335336720,2808560775736787430,406063010539170669,1693967853396423375,821470868921163764,1158656399031760425,424285161903582495,670141638344147307,37397422967320521,267099121803302850,4807328302047010500,539549268723171804,5445807982780157163,914798915130569274,2455491731382920367,2488668402000027325,2583122252480871640,2117811992550340446,2217675844635726738,4338770963156512452,1085554351354847490,1130556334995723455,64094599679127902,961327751321626830,465769430698992304,903688949534001885,784005849529611219,3467803876290573849,420340331690518785,658544674416384933,3874389220719761340,518176237696239844,1455597559570345404,1793171219117421009,278848498340271258,398317161368664900,2183813846806526920,1007659049280260302,1173765083918088144,4056028675438404546,252818966653626285,808311176818510344,806257542131488491,2314299086177987605,1078567448391828288,944350440903090930,547503881069702616,3082169050331178186,919672207134503536,454922078116347294,308783451349341090,2744480812565859680,933862933433796376,1121391661059309810,40970442398377258,409665457822882300,3969170600314887282,4376872152398167101,420249674438586812,3502683210533745315,561723353522802280,3047002589769049667,5866105827278702025,4177510226777330562,47379289810241924,473747806529093400,2085502057025551766,119327369906127168,1789740166016041920,2036535854043427544,3267233409294688150,5560772985003447036,2101045052595483648,3671872381315866429,1915188504607643025,937525904521620925,5400446179835997747,698581983105167568,1073116129129040056,5420996938809018567,894753492509907120,3415875406503508827,811515771523413640,2480807183307721983,4323539827328953512,2108929211210550915,383119159133226717,3769996094929662689,868356373651105236,6248006668613193804,2086885940811252665,171734040195677172,2575764997281579420,1295682296357720802,4023351331240645838,5241947558598503415,659665227488761981,2084047811009339058,1538942995092894615,637425059095650110,2686360071734116525,421009256178741222,3151069379229100420,1210721925067412448,3145313060201469645,2730199164284770850,1503182270608904305,116442798889060836,3492950547973112280,663264931486657021,1238811180441645,111482362579351230,743144794810765800,1003828715389277454,1799502095920015104,852451315211769920,1974787919156431278,2421691236394788246,3086800747723881888,5092191143232043746,4545910466675380915,4239911345610756858,1014985416629150136,879212121550717096,2178849581905467258,5126830256099754360,3660313476127993538,636928713128601912,60597465181368087,3635500395940139580,1230699612070273380,2586792101107912794,4678241470719919277,530722964618431144,5306722209969897360,160297865443048905,1068550246287458220,622074634076868468,1025627544551143488,1438724496718687596,1743418189616098635,4210189100035269624,270520310637114402,1003290153850821942,609793975859985948,2007143717468038560,81838365154234047,2182147561734077680,4201425153673490968,226396656043105662,2785535845114838935,309601082569039095,802557571125015690,412501527547799022,641213211496144243,2713991247114264450,1464122607741525155,727616293721558611,5400421970222873544,750498543427076735,68751483559483920,2062346943925251360,504522347959633468,3232857940179696710,2405734005008829456,753288236576849200,163189133579849944,815867480159942280,1246684807781536455,4429655829393541785,3156893043581434680,668599033672684755,3628042640805066162,750203362684494504,2875720467785694662,3574806157446233000,678487742955994032,21757897277328767,435116215756083340,2846252254102823064,1585313320575013635,1453687295530221099,606659858234657616,319537968457421484,1065024379102621320,816904868472871140,3475437054232302576,5379496546906823672,995879241747540381,5530762274554331944,1330382298976976180,1204159974725534886,2151119013154891590,1322331411093957636,233483152584460149,3001638045291322050,3707879972690918808,2797582388394020490,836285275727530776,2979232238883776595,801110217459621930,3725751726226005507,3415111660896161135,3478573700571678324,3528067823556380868,77812424538292280,2334148456359569040,1681217074092145695,847593806585667444,3955089222360391176,141696094998935370,2125237149698804730,861899111942373255,1852159678219171048,2744045982854736774,983484816969984900,3557140952302949382,2822837902974019608,3457296254883035061,3383575629962737968,3213314195266013010,1766109525174642417,1344426995429059004,2227361895592985190,81808196351230098,803929710715777395,164561660498084213,1695448854003053376,2133579645882163170,624761996711516675,3363206543350188720,3373907137089561630,2101311893722872196,155955343051648599,826476454911712928,2745173941136559945,1106182355395383216,5238065541849448376,2899276553487095544,6284027222820036873,1731770317060656780,1382454534374615770,2913845952549444744,34130253899973805,243764045144816750,487481126205922500,3066634668510805308,185525657940678111,1236718549516009140,5463066412840149234,1016331746411363760,1440069789820023756,5541479720212735184,1542967043317426012,671454335958972255,465911176348076520,1746998479309352670,90268861829958048,112825198083509960,3214782926545801224,3482682385561965675,953990571039970660,1032453715055921255,2450711536962364656,318626553570225344,1694745734205879720,1293776786271351978,1324758187133746252,92166195757845113,1175867832862295478,4576864798177799040,53835210402426648,269150074448799960,4036861464413333400,1001240370097832835,1103874931641319320,2658641692097269746,643454437581948576,79275408355080867,203347662577371789,4066560545752449300,762454361912654601,2937712679826741208,438400120048524855,3409449373026728850,4709891258699769270,809357954626180405,1359115065294283392,1000798034720008776,2633343980234981832,2369168120987933220,1967736842166553110,1533214774616161432,639271109876152545,1366014461836921672,315434512119389645,2332970109151509438,842064652044238482,2368356768195452180,926491229214927978,1800016294986202515,1275778999088006964,2038564620873595062,1428087605937809565,6178157190124220421,3206461156441234605,6033301257130698798,982984393684280465,2600233813819762020,140392644775926181,1362129134306413210,1530408451934998335,850880049876707490,1539377518473222204,796083874938420258,2945217258360133400,557063053980883320,5570091281682766800,2312202161150407515,291376365055031928,152246215536028920,1014876490027379680,742569278810881322,930614031523538955,2185178100648161941,1642701795037614290,363335062573933338,1867122318438808520,1138906855647265725,1087863649761462666,1557988218197148140,864911720858609325,5034370827100494747,701198778550042393,4696871634701850573,1199746905051197895,1631647249939599576,3896430314543818387,3642862284209728293,317386164906251442,291038364259040920,55730760506037624,835880345117429640,3362897671157062585,1209992020309378335,1294553542767241075,3425815401756333592,4086928751949305370,2972317972528072467,2955783177258104354,1244973030010840950,4188402632332489626,1338343666002672168,3266562177079238856,2088956999230537308,1808799392911472160,272656922201696424,1703941936262670243,4505583858200528033,2726041951068219336,2730856785982131560,536591716765601642,663502517214938298,3087708757510286686,581216028781863948,499433319936643710,1361942422057319996,4765980129916664862,1057227366902037996,2922009474642983034,4466731231115181440,2768127311106958755,506959274779566249,163325525660710156,2041370667483962550,3931376717201212200,1210110284474172096,2750438034042759864,551534552818370244,3622132911934096074,3915210567609649125,172867286201494912,1296378580786109760,90510268630623732,301671555502226360,585904016036332080,89352188741973618,446717487974926710,217436227638564216,543537687639545460,3733961371597051965,1689308927497856925,611495190811666389,1136790837731370978,409282511417974510,3063179081999856300,3136077491348259072,2018813883789139770,2490221324773594890,680899334411033898,360370542582454245,43006763867816370,215012881787076650,9817970506369528,49085072062515960,1104306563930908500,3576064046555269941,96503051049451869,1992435952162681816,3085789450536525951,2826753789609185850,2572988488751877484,3535099390958760630,4407968246474706921,572774921117622254,12119668085044020,323159649951721920,1615640759362350400,1851138254711723340,2693635733966076864,3039211541371288920,180089057083961823,4201668284960971230,2547978693802142004,2746048092297635116,3457440521663402760,33616933100234068,1008409626976800360,2012348039564750352,176722724494612206,2650582261080961650,701519080568015616,1138231065179175359,1185644322657332664,4929678786992253894,957775606502093270,4038640143886086944,304706883921506334,4062361885953304720,732682816025553999,802889225913573240,579863667000468706,269922469130291268,2249134274040426900,1523151377803347306,322280319567884085,716108543100507780,28748862883006570,1293572464555264650,55567723439900130,777872129699784700,3584270227242069297,418056194846873955,5547820869870928065,4160105695086437826,1731245024586367650,4284029899552904424,2518241522258948016,4442697993497884365,1294935220414596948,318592692841654725,5734107820733033430,1347311586062802472,1964728159550301918,2557845995547753972,2812436256345587900,5614545279285766413,2174425371334786584,453622796197497479,1861960073449371476,3149979785031966390,1883039958825240327,555525448493257701,575238496678987359,246213244769396856,2461891504147227600,464971330984802064,2679666664547243294,272694621217301155,4157107656018262743,2260943462211574410,3415718460126336561,482474264919261690,2241307824791540488,2008792695692055147,1503287865205639725,1480387139952760278,447911502824997628,433641090505593084,2616297722769145191,1490810708157298600,1329389065316646288,682707059578742008,1146710276463450216,107709425807723328,1615483062001147200,562949724492260059,1983490070932649457,897852364123207412,694672490324204454,4033795472848496295,675377872303048884,984261622404028488,4167524488433922456,1467124761761282766,635175863315777830,1018017223513516926,557107316576610208,3648599625577427634,1228842843383650302,4414766333423381400,1670849978136223503,3042368408724456045,2909033725157589442,4289950723123835385,920897033174173380,1415448381638560712,1410208562368257456,4734417277462734981,3115276882670540856,1059884666669272425,5604359587372362096,2533035287628416652,668964418285596986,1912413580556742342,1780490058902681850,111483640726542175,222945383190361650,319954961159352573,1076860623052496619,156717294862767975,3134037978535415700,2177081361120862392,599543526309792651,675919880130414028,2204408544430243680,3370062765413285226,4007417911939217154,2851900104224672397,682825910741741124,5283165414373136280,649834132033992312,184943917823156964,2773886006095638660,1152578156474369574,309816689447491575,1636523452278353772,5477831938641601719,2620656338121840996,654593805124994590,1206119170960751310,1147692888252664182,591929820279831890,544777456301569352,1312176386152869606,628105207596458985,2729251566639867584,4255555164015637827,2971603509983349312,101958046616118357,873840085852220100,274716332059279116,915630952070120680,2777000286003622896,3904801762668736032,325486633987128390,1522475282823175212,180882309606996813,602881646310148910,3126263804934253152,1153176322230290025,962510293240742445,2731152880806759486,2654757227488270205,540944303674214330,3549987128047317390,1977566152737531678,8317340395247848,166330412415900960,1020673608550288264,4574398028494005240,433285362331114170,1464368272907061303,438997613980357288,754693730443287171,539585439928867620,2581321651979549092,974325711648483384,4629830601391289163,882818777346537564,485806551037170075,2415275865160258167,2870617023533541005,1048962554806190814,924907580041230566,813653630827162160,3876841803974284215,618639391472912659,2257766750403207384,115364834888480220,1614948255371061800,1595698188283105192,3537871461843681024,2495725047697563144,4661994826837719273,679389578006187690,1176321681629821244,529358196078879672,3243641509678454226,4429809567802285299,34702569643052540,260243560444786830,331391914231985634,1774785391287060068,3013377708670632303,95466567966666980,1012607079162581412,1708867094961381804,512479534155016896,3202680488735192400,472235935502520225,2189749732705129257,659607442743870662,987947425669587276,199160211214190466,995702584918940550,515774645074870032,2273727700300172031,1273052202771864543,119929153589280864,799448600509225600,4454530506146689785,46814086840403049,2808567298207785540,4315048811531461062,2967037486106491650,2665757387634874592,532010052936021428,2521856143200532014,18617700000307740,335085426491866200,2605961975057103600,673035086129482905,1301241948375608109,327058287121181532,3270259001452076200,950582520809134436,4454502376296374736,1346321385343878838,2632459071521230662,1733532554081687220,2639837466496879730,2706726530100130433,2976713167114019400,906356340106290660,678055372071802260,595347895036051032,1092770636082691608,1696337392785517016,199119855300649512,2986501749989287800,266685221457573903,571889342268092871,2039126439074769696,421300101840448142,85513400083104105,366449655494612370,2617455058626126385,1049005724050386567,45585742270695150,531780902403248750,434012683878611271,3099783029680661850,4953437657390978848,1835895333562240032,3242279492665291440,4701747375186729939,2059699053052893114,5795905446799493202,497250095011842051,2370256188443177940,4340825158132114792,547552508532617259,2390102096254174596,1202940328800766302,4209581663803581400,2698160621146737957,1114856944897149825,700959711227866905,1977658649144504952,765884637988952630,695825846902472910,1388312795564515716,4056513903322747098,1488055794014866971,440240192033549925,922563776734072815,453322242543393344,3224889210766610538,104490827223373945,1047602727782036565,13990252269794745,559554452766068200,55684811967407658,159083642412463320,700569609079317985,305525599574704493,1921320176487737886,5274553296159021528,1688525999393472585,3582407362372064820,1234025074714823892,5752249112141255205,692050822123218465,6203955604778054937,3849003107234221770,491674073090767281,749682513827879352,831231817344302482,1368591688696039710,1782870371241381885,1167288533375322582,1680646247216802780,185582694090382960,2969027428206058240,1449231000708328650,1334904168231893596,1685939697789916794,559166072724879648,31734780806610138,317316194021835300,528807634821075300,3904277408993979891,1421751816543374496,1171517778212457258,877497307387576250,2055222332825650272,612643189219497063,2623945295251817856,1938225833489122902,1834795174007158680,2579470384256685348,854905225921634292,354929605569394686,1577307611641958640,1441224258766821825,3245274426264966840,1810919351327421671,4589194827330954009,253075639074716331,454059201480953415,2713647268962199416,3329611967280075240,29859488376888696,298565087330779440,2426517194745336840,1329539965010008910,2335279262365424404,2133939451302983142,1128293258061788608,54620388424621220,2184597408620323680,3730260897380691414,1372950303635023612,4504017101232644079,854615252204291780,442357292693777573,1263751741960757220,899796399700835277,1544186746125580065,649989596022922140,973658354443935664,300588785676300051,1669770832466781450,1731725879406013056,1739239586822360280,1653276794097562956,5450851572341665960,2403776141186229092,1463003181913708602,136941924824493405,912854889068813620,424181053457181942,102163294828143842,2322104804267306331,3348183964989567420,561960396800992476,2497351946725940640,185124991985337465,740425890622678140,1528925268784393650,479997832707533769,1327999773654193744,436707920151337823,2087744780474353152,1514135382499597890,3651079349938849192,859926383067447264,332372190718535524,1420803481677122030,346122064745926080,529768469203208109,388597911737646164,3988208879197111125,1501831567030523240,1249746778308441100,3909512926708030881,1927584197085121668,539745029888699117,414548039699197965,141004475436599305,238169857668482712,1020625683823995120,4553764054037195956,945389825498465481,400328029349885670,2824521094290124925,444802796352425898,968518004599756746,3497715248421544677,4044277711815894675,739378185186281736,2345516208607109895,4900771068554641689,3812697463877888886,171085800334103045,1010624194756715808,1242123338109264456,261732318186496077,2617060606548450030,161032417278892920,1659279349424219222,2485470839518308088,1804162603724291790,176189704627195535,1945743169161956300,3220078486387355775,965524448741729904,221252480793911781,2212302684462308190,1200129383236573245,4565336185288606440,1537676314889194662,1114044261361269688,147585630269333032,843261755771726400,154074332722854027,4108236154663432880,1348184537184660396,4401854416061234034,361370956516681185,4154119475381856024,396322314452606849,3225563670671602350,5225020307095284279,325726691065054690,4140647370214601536,2673253095569222103,2370235544513233950,4214638271367260120,2379090565115438925,3253649764968832840,2774444399824759384,413259863391409635,2754788670375944100,3884254528244614640,197311696248060423,657639492453276590,2098051312987813765,828101926250470152,708433899635287665,2478296302107133512,2900839852972194864,1036684396177227075,156504114022975173,1564883615220839550,369866870410956198,2411797090274250520,39829483867659669,3186037903177463280,5095857905312886225,1572325025723275632,3594645316317386844,2633096278910896180,1941089524615266444,650940707446912215,323354728177394824,2020763461193140350,5023450284020220680,271119903060745514,5383702276887932040,3522404548138318122,2055909398315973230,88207279244291310,352793555534219960,399477396077405010,2335734572750967300,2678183561885588722,1663363078019872380,466906625979002496,2000826627741446400,4264447405712237976,3908077588404648813,906885320124533862,4297176100406618611,34895880240740715,199384914718503880,2492060000939241500,429559108086080118,415990019714212076,1076235211853087715,363614317758214590,4103216658103208256,4258407766119046218,1291971826646676636,1993047346632804270,1197119177486181724,3239040334424416776,1901486853457504287,639272938738924041,804431268707359185,1493472283651077051,646906906316905017,1706794114059852069,3180337488059994152,1149098175774125850,304706175863092314,980779749993432144,3845680897100202076,328315520191070304,2735686198239252000,300267958276332936,2335181424520423920,3704745806858514888,352010641078595682,1173250191586824900,3447592552939392352,1400612721799750572,2075603472988816407,2234859589295804538,445734545553842115,2680463715348755196,868427760957221710,2416971391228768968,1297769008018613718,379703773786121945,403394224864944685,1281236098753157670,2391210589599142104,2474344796952331998,283878578658048960,2838498492152940160,626257355520077140,1882281151971201996,398327231818515363,3982869081714664050,2124113380756806432,4969462315255831048,442985382703277972,1718367549667154892,1834712739324812640,2082337526642421672,569997703814854311,1118082129813938504,511542673789736592,875685565443938775,2776449641387143932,1159805580132555250,3050448880390897488,3845780335367663895,842515917362805120,301074179980837356,681676618416670323,322171944719297108,900326829822618051,4265725130658468085,3939236744193127,118165119956777790,1181531379370917900,2780515567754895825,449757731953935270,879243578025864396,903157758722724432,2263599836618925885,470475658772335048,648426042563038330,2803079548979860269,2499204696505627260,1489046284409295987,302925539706068616,979252209356525460,1684759403139272436,422661396705460992,260435067403484583,385340812227928466,4607430978890796480,2498539131379094888,193215866481042295,3490765509973305384,1668909244387297856,733004566656366180,1640015271723637089,203049632627038338,8088078428312628,80872567480978920,1819447895667829500,2016995920362009978,1957296510976016259,2270355859617056815,988539599985501976,444729734764129170,803374552902717156,3959899658534117064,4793925117429733347,3040650129319757655,30823900094282190,462311488851362010,386635809538375108,2927779031585209370,1863216381641470416,3080547246608937150,890080426732455063,315438385246940217,3684639498787599184,4524138481912853584,1074911167400356560,6007578938883833301,3082689212694362915,107496881080952403,2009498346332175265,654131427738484825,1455731165150028801,713317364328402145,81117962152700764,138479757375010263,39558994020088060,1977748291217715800,4744277248732373880,1652987552497585098,131198394789432124,1918931769737246115,3118917786457412133,104763955054291765,375531843998726367,3162186353992807160,2965049917798735125,3330785660960116044,353853594092548712,3406162765282688592,1594098247647287466,2099886924737806920,3051156121743089445,533039702836705047,2961029764442731650,3308833349831337384,578896021462128960,943833410437525794,1132662706769818641,2101432338974733525,1593014761075488012,2140806352946129050,513125584708279836,4979384158292825589,1169200423508677882,2631910080669887088,3037856668102631600,206264343404583635,2474919511249696380,308116818684776406,2497108408622431961,1513178656437940275,151209237744988909,1031433441908368104,2652892270650762378,3080435003731387225,1143918353986724640,2783753071113108870,3726417001891470192,1468868755265713944,993647245290142872,844337318584909005,409703449391140386,188119590901216758,806144440739401620,10091849728460812,908173658561761800,679840120358853286,107803627419779510,1077926084074193100,191256802057689420,764949000522298800,1442310441306005295,1140040427535079101,2990010199400120285,5681840808213513666,1186084901275275780,874227863971522146,240568569099724128,2805075043785475307,1997972727242568465,1938943058514264585,4051656520963656453,493591256215505812,1560794732705970594,4183018668760941863,5697463287652100910,641288572535326614,4820602053367083222,45715542996771228,1218956348468483520,754813452668486040,4969269137216790414,547781426496285228,2947950143151090084,728202217253322063,425862957706568265,1536870007248334368,2241473641404208804,1340693418732668730,13899718682912512,277965892291558400,56354107460064606,1126966659313731480,1510085173557099280,1062043944714719676,1454722167857804825,710880387336970191,617647488101290035,5120820078137754903,1080769440091660182,1903557165888057225,275773826424663510,3860437668140639460,562711463267897088,543955357478662246,1019820116302993260,2804251366993968198,42770328261585117,1282978215936752310,94510766330103846,1957492617832212335,134928620296594722,93415271161045170,186811368688494140,3226382069127836316,282656001474065700,2261015898344355360,2329819590054089672,15432942662641380,38578395368418550,2314466051778105000,533957385763675665,181021187722080208,1357519474828171560,1614362216550861294,197684202431901420,1647199129764482100,3186129035902429140,1577364082656996652,5603804165884205115,749325523060833885,505688403971534799,2046465416069598395,877724903234726016,433312493178692453,2454925793521270160,1509633992125626360,1679388306356011212,579443362852037152,243359894386770012,1330152237926645895,907729752648896616,3913499142196411194,1140811257633525104,798160011127741968,43773082987116105,250106170508312760,2500804389876728400,1431923763925703115,1914498922162823118,417250961454778545,327754061010415080,1310881313927832480,591817716123419133,3093170831145626970,450035930317684390,1053027709774251596,645811709114940261,2991637102830702618,1405470789570840924,1424688539504692875,444522023880282621,3950899909935094480,1223377302665489076,2468330280884846292,718796281248993650,914777609921845488,3854989858221461816,941773334996699095,3363985684683961416,1579285441003927200,1540242010024628916,2528165310216636045,3426469444859045352,1899749765815238448,522182227370048220,1190428443960191722,30365382867092021,346997161848753840,3903315499072923300,2611018862614221710,3416081615319660360,613823849559857504,2136210381634466140,2170335388752028806,918287378310923040,3779091361761364548,713553788250466326,534306303546756130,250641516807056976,313269560443127700,4436924002136472708,1554836129676727945,3293607993840410526,784643399772249699,212163246628877705,571597963466914716,439897120234024816,3081825575834089259,4017161348350906752,2538290782860014650,4157173544947188039,29593126552414734,98633564469885980,3944934962575464800,2547333365001500280,2742714302094664410,1503717306780352412,515648834901058923,3211302964235689088,499243685071035440,2495960392987531920,2194631096153301001,501474455683904798,3656450986407175239,678221972151758280,3776880713403803864,114088262822707029,3862062250063469976,1550548470712856797,1688595316093524405,1754485703653147156,3954174193999814328,3129509747910389214,1049348833212174956,5791390416670009815,3619352255793231489,5113865631955589811,3805865314250177574,1993261056941034006,436919754086282640,1491040939103815743,476025864746172633,2453545856358222876,491035591304749260,2600954770917098040,4366098132840348254,2609681743234825384,635180008260490398,1325818912908627621,4318904936255881320,203191932608341851,312933820991283005,5632225136017353990,351237496718146467,2080449283433624775,1715323939943873745,750611954025858225,1134818005528756464,2317485244030105704,1639417702339556820,1744505179384017152,213323366954046181,1495209872064397689,350055970768823196,445492953927670750,1043870327488666716,643342915913612561,4816682784401722227,657417864280570524,2202163135951689775,2840257889565860208,592690456155436236,1201759554506789768,2034323445263037230,696814459284820650,671996960140794288,1667111807809578843,2714706794049429420,770169474275051456,616282803686967610,272565327104108607,972287187395871762,2981581937299481439,2336378095965185496,400095839198226450,25388680795088826,761581304946606420,1230486800743560674,1869448229102368999,496788203131420230,551929536614588420,1157921747561441344,560309113980282936,1497417120516244896,3952718503025983670,3352688279600662752,270531430237878922,368170232644857152,1602901077662913678,528991755376293630,1763122493433595260,652656094808628096,3248548493071417365,1862579767712438061,1665016371078003225,132329321756243170,44706714657975735,268212380349163410,1690133267718972181,456926639556726115,20132872080727329,156572708760713630,1789216147761935200,279803867271626409,378748511397296340,2947473020476450030,240431484084042987,1335591394599754150,63617590076062392,3816657924043543200,990519904005241014,781513420403383238,5844678635583846675,630069273529940487,3935749731026307705,2787117725408608728,343042176058099516,825220513528062188,437628085757523276,885761922286589010,3133822408620697368,119813616942999168,599005641480659840,1174501974636724596,35638775047024905,254536138880664950,4581172793455074900,2679669893070052545,1395575152618562406,749051296468496730,3273542263351885734,1012982842016006984,1163226117735612382,1229040253988449548,2646372601468349055,1020443850799415286,454543841248706295,430559366810444568,1625704832932887912,82763335890044415,1601066246355318987,1918443907036310976,747010129708823967,2165727699235919596,1968462413328064410,1195085156999871195,442189078563172551,2105490039910992768,70309087786707144,53976954120973005,539713160849610030,615985779567217068,532800439740183355,3750482016601107687,1372787987758722900,150754063142122852,1471758028110036198,1411174439269149339,2167575128369476288,1041616350331684380,1017871311422296986,3858644068024138463,2611982259775972208,169250751455731785,483523011980128500,3787953381733472472,1593829690245887352,340320658934389777,2916729115778594940,2615294201110817880,245516743686501800,2148046760779816750,956780477275678176,754511799809325753,2290949752211463660,2194188213936269976,921631246842554148,483210561726261308,302072900552732241,2161913183744694350,2650409286484627068,4285231127617679376,363086622044217672,3130618692172662516,394202779553452860,3941614956913995960,3499389720137858134,3313411374855776523,832651795847653044,427261654946573595,131531155888787196,182272163199894512,1366897981817709240,2378223655813952373,1002885715178009550,2276717638166685696,1694550026515445775,481598932725631026,2363503348949684168,2600195481239182890,2917486735436146110,1716715346054300245,617459518996044075,852845895837112513,3437452276816374930,4532075097443425392,2515321270706677980,2057330468425398196,627478131469723521,3754683829488900760,1606511961726320979,2475719487745748220,1312517261889504477,3038184904882240008,2202575079533000340,3143670436692002106,1890608437989782315,859918117752372546,1167916170688008566,241620391230313470,1610633467608457080,322348457965136564,1616897290020954570,13309264510321875,798471993807187500,128577524331146178,857093447147414280,1689862504175631688,1448267336017601992,804342899597416650,479873850881125824,1874612125724131524,1651030806506837544,1068106343697284712,2404881744691136725,1752772940401189320,1829003098100329767,80515523218446956,2415211718225373720,1505226078108373770,2705770811937433002,40547341141164810,486516917177998920,1512896773149788967,1582406416594301040,501757730815409790,721872195852305534,3572552618499270645,115053700517827548,3048869638903481430,5269417621931693439,375350036966679265,108552843168583767,3547308294999527064,4656562659500164640,346411276751875736,1298905511684039190,1436542113104517486,592660894532151082,396611837557103070,582676318096072290,1047539792573548994,212015694267106812,418641941027491783,1015303854644079240,712163896059304980,3983822494760106592,491871136307096289,431283682727772501,2334326722504087400,910989063102617305,4321738440755201472,1655213391215468496,783204027162161488,180292046403708825,721092144445898180,805694520454384770,1300411616792261904,5192206230326127174,12626376821577790,63125224852310970,3787113947636695800,2203270807825889372,775609103653134108,152791978202522920,3437456745049324020,1240273212519650670,443377173343584753,3572915609653993368,1783005178414107105,124807816624822758,1871919610391042730,484776976268836413,1860833443452819305,4200941635895769000,823875762444541884,94788788103472054,926277100909408311,1062838529782779924,1619850991717604320,432484391585808716,1769351982161420268,5316885080141499828,478235614803983721,2851539119941594140,3070433685953115660,3549837881450375847,568621750881774960,997673845065403106,4682786913549726165,194670326560699788,1005494329456357461,322421999038866710,1680207546475084680,170652016488513875,861423055943847512,2881080195666057972,337538323722095519,373935378213672050,5349515490484892640,1853875342303118613,147415535237941221,398631183705050808,486730094193111054,173923978985070255,1394329836893275368,187769427030064989,1810458516001578792,1207151184058788948,1880317132792469880,1213393036969556105,4646918946447235719,208069621687169478,398243203674878191,3413151629402847300,3577570609885646904,1875247282719315624,2174098266738166905,2650790587740945240,211455124496996840,1647542413736659992,906165806163826926,476259353872698248,1893066771382757796,1686935133388430310,268096175370705942,275565607227721536,425477562654447096,3851930149065987237,3730716964901077440,858892028910454484,1204211205546540055,3515463210765922647,3448764794226416166,214695186062305515,2146724099718617790,526224257038990768,1090950532733401776,3289367534069537316,3626247047614447860,1320325161415328868,2665527320177563959,2536803400698376068,840175859714832556,2753580213885440310,1012862721650986384,5052543302472616056,606230178905269233,2474401419084489909,1454455293118397900,1395656611929146295,853678349868816716,1392320233020646686,1674293803354439556,382266379480558280,157106171469906064,1570894779602436960,500033372185718488,5624777614358205810,547583822181642795,3670115023542628026,831830616894846486,1435678739343474768,3449949066092013023,3966619481339246280,3682498279699732647,391836937928050812,60090568287500961,4806734193458633520,2810997621139252905,2367834235815552328,1573053318010133841,2094623349156201606,2950895339960792895,927760255663348200,2108613916917782532,636374196991113738,896620257003780204,2412532189131300173,2568028529404880325,2272994534524974414,606837644551040455,234866258910547637,3622058285950176312,939295934117722665,1235401503501875709,327467099882277372,464969998052357820,1061505022766269646,2040868896095023920,176105173939940224,1760864113765845760,5592720722536276659,1065122441160707654,1103537437316529960,2108146221884901168,3143724450622205737,295813807731549236,217159380356086746,3184106859252836335,1064389777330784488,413981360061091704,296441886565469935,2371282191751625720,1013283366130215780,101855254365219798,226320866672873160,4009702867238899896,600169206601963001,659650289467869790,590217019706296740,1292288721296503104,791342739448358013,1062523413776679138,4405243420019502040,1872412758925325656,818617074252093297,1890345439395572922,423131622913075098,1816320834741559320,3437713209583190241,173183070345402528,2164557188181927600,4981327518832009002,4009546012234873120,4863773107740673368,2926872503739732891,3665172782320309908,1792943824396734468,2363762224605743600,1629728442269847805,579102642190226625,529491083702187887,266159077894891654,147482110562251920,1743085853107241648,1468296756333720455,2539569355273890108,926078229184597516,2097495121009893165,1784567994897530916,585380450469208941,89738117883341828,448642593309255060,2876960999769724120,4115077922673615195,534809548072567377,2109368535677575216,1516391185027490784,155287920765571380,517571002492349160,2822541880960297764,313003675885659519,4346874985912957694,5086277363264763555,7403845205051637,666274718287497870,793202574859009959,3543267054072870831,47051634299619090,1881863784227670960,2223592647393494433,43342414299975525,1300133124688371750,3447986472694495980,760619806717448559,3681409127460949256,1958292762183180351,1485644640842169445,933095296272863340,1130822593763676564,1937203004828509428,889229376327028185,2896714883609803704,4424887384862155425,536092369446094031,3197344574628662994,2121896980438450725,3432294339710317536,3672959432217087495,1705065985090165698,2238582265948331724,2969937503338792530,1563701377151028835,9424253111366850,125643223006378800,314074345658093000,961221261834277362,557004794765522775,683487299349416220,4132270542746478384,1529573802048859203,622365568702613082,1227022523387236124,2572984494642369975,150524506157831094,1795461906495533738,271042591128175872,106746780332326166,1601029681575076650,3095844552370792476,319662001999695245,307264390772708740,577013557501677732,1558903022042454080,386732475251073995,1048305339043986219,1251521691320819720,35259925559817488,88140336261376200,515905667392445886,602672393754294766,1901170234637383656,1013486413404896098,575301323303802130,993750062904867315,355276615866978003,1122482811250724454,12868407328851234,450345793642104150,123578266881972318,1647532902264858960,1149239825026195326,334180414920419053,2386746019933298250,2499148620852091986,431098372408540172,1154441338157499204,344479584876622954,1434142409146267980,851702810937473802,526364386223682932,1440124044737058080,3141437861786435616,391778140736955460,655465975130107463,629331004646987454,347246987775419295,385788409291157450,515969991870607320,235473123557390630,2825372915868238440,2519756400927648183,987080348244143450,1761975381215751855,283520594381513487,702249554924113356,3251876956412096920,3055933378573157952,874201119977592975,1723941137324260328,1757200324994796186,815470018973986479,944157580151810808,997829116582141530,232891881032239146,1034963330243158640,212598878335786296,885478378085197646,604794654605759345,731677483502011809,1157685268084218042,1462627037190787671,1608769043353128573,3510213285722456520,198356104867164004,3470856956543619930,9159415109359416,30528085919936880,305247882405708000,2586598040858407254,3569449218520705992,2003238791576708976,163388000011296192,816851718756321600,986133835940047728,1216520671593786742,3072747582561323298,1191927072061565238,930196808456519220,1599013940185404755,837398678266373400,2996704189823801359,3988158914350473436,786879689464478070,149312989998053112,512868698275602028,182531049006226896,2281391280873883800,471648375635426270,3527917213904481153,575251416163361556,1703914174548565385,636930026269717590,669516761675524175,1016051441626135359,1193919793225004220,1028701082289865956,609695337844025772,719618102274331860,3385132068541386336,429497548863486065,1691934193685031639,4523168432434484632,99776713931274095,380662409901476583,104632890524719812,1717410318237352828,2961419169574746240,1858164683994179225,79759516076308640,159501743965312320,1808934881611480770,2675838906990824125,3359492514905489520,2504702472028571390,630159043412942688,685674889391195508,2890473794222957496,2522533096740399425,815956649884172538,1648795543842296991,4548033335885593008,995965627233699549,573599109701131980,129618064228329118,226986319077624099,2269616880685332990,493977125958059895,1662502945540833840,2319245384652473690,2980543054346264421,941567729408985900,2541431479144377545,809193913131295950,776455177521491652,1346110300470874694,156459596962759102,334842212838230226,3112052580873146120,570791696000464284,1581128294264012352,265242356454390082,485757895108930880,357018937611142605,498178788176814895,537475018234420368,518217757330086603,2878674616159242650,1841647986045831560,4138537683888514071,1802444363500150434,3289910295492284868,572263727362910484,1191007906774740570,287652633789422518,843704941177806096,805387167963117453,1383028580425728612,929253514804371930,1057496833612383723,458323046122484375,1742417071605624834,451219971903791002,881255730750151340,2547513815816154003,3445767646449461070,906459667392682612,2137669752369851745,2992686507907438400,4237349791895510463,3775753989884775951,2598447158720070160,890042331024774552,3101566087906666920,1350667358048319920,2268154071301926132,569120849967790944,595206720213837018,1519389491701881620,882878839518694956,260913324872852638,2236156194740981640,278934652439259090,4462467969683602400,145152892253665874,228192831937321194,4763857679606717073,1202860590423490842,2044588482491560380,2454653453591257765,3599901060489117480,1326380451084970614,1508105340339187156,207037650607817360,848172884762187966,2299473776912543168,500714404808875066,421002730757073654,5412301538268363300,517111778828748597,1429209517679563530,3744160974708500232,496990900937200218,776290584527776260,504257147057184906,559913334935843686,1706398046209032903,327117468535869445,132323081837745465,441028762355505330,982437428648229883,183616933260418944,6600931553180079,198006309923827950,100585795476481646,1508622054903041310,304016845123393272,301005776958012326,1144341202277424240,948696916047490788,1087428136544223282,3941200297626230562,295125348028420414,1286762028657863300,1235547772981233228,1083839071687738618,1982752902628165404,1041105128262857700,670336581804214680,2750065967374449276,1936858141624027734,370250256782516350,231096006642970881,1540471445622000900,535502396011829088,366284143783003542,35455314049754352,221571454963535300,886188791379242000,872606861521220055,2116694577203990176,428293592083444776,139636996584884205,837730220293258050,3253457805894638208,5189389422072267735,892892007818840739,3276878637368031132,4212110686045587780,1101425453450493374,41193835388992453,3295145673815328240,4281533529362405082,1014646734786727570,1950623994492526626,2424407550416735317,1286284737935893185,356347428112346139,1187694513158371050,2548700277691440464,1067910116328584235,2498917365323523232,364008030447310300,1517631808666345275,23056668069817165,98803450514382150,2305160891294803500,1048346437195687860,785333296738337080,1306200998415378861,1435911734933278704,5178044483599171599,1803563875761124842,4078863844863562090,3002787855708067736,716989714728071472,4125256831467061619,2660473474901721462,979308991378359675,1139308970027416392,1921079455795756116,1274831816285867604,483234078803769615,400475706883493760,748666394846753436,906685497700480176,1585103929576222341,2668296823195507884,427105680485494070,2891690213809786911,1137862200575504070,247897756728250803,1995925467583096047,3638285930849753835,3744899329081062672,3744614759508530194,4122112585811858208,2233058896150041008,1355196198692053400,1943233279029472464,156468277992624096,2086014160072257280,384054069399752664,217711121718720030,2423838811890801515,91656220738343130,1283045846591884620,89258766444249036,1561856448733771050,3367762216011200232,5306604385040166708,1400252648354968239,2225194298954189405,456814966188653470,4273308992262661011,2108148141777980196,2680936685655537756,744313080998755323,488726624127958090,858891022327222857,1406451929237730828,503048312542984805,210149535787418554,294045758197330215,4776975995587390098,3911844106028495648,143223541627087872,911186922807938984,1073568144777054310,2204752083759495336,656610545468925061,2688294360736986136,2807641356202539960,4504089217973283225,381172468185240388,100824250270628211,2846118538504147809,913151760349983336,710767945031234370,3827100783155945925,110373708789528486,3862653394447963710,535826187868053435,2822734660589564730,3975638953773992808,968612780129498916,2474507762703010044,1037694160287548676,381925853824284140,1932802920449252442,2072881370525898366,2258417325279370475,1877808227116899486,127260890146556625,358857458260373880,821474861430414079,2292760440734691228,989769644074889871,2089165950151085575,2336504207584374888,441061407317354933,1898443233514739871,619389989641024758,489252755007845875,1893561179907930615,1133946389422714392,637310439485544447,2486853386725879064,555619566904770375,1535288165633910459,1291054811761833864,1155878157244777725,1542110600452196067,2776751127188775920,475445087380250955,1683705602854267887,1995540880810820067,2102765423599049595,13768076416310135,1238989682055463290,717017844619331256,5357073453155178426,2826102325930608435,797253115831165485,1055120035091668168,488673996086311696,50193526529400588,1003759310944932240,933957439187137760,3783864181355790063,186153147895488424,930662585909590520,2131648692331071516,4371445710616885520,675479397417792536,1233128135328724335,227183462858699694,958180483031900298,3215423255684986080,1303930284088946274,164861097736152499,1815852614503931136,3230678983205775969,6645166335863980,332221455094169400,67401685837320707,154081611470430114,1214412781144280781,2705726444948887800,162117154196677788,2026239496642047150,2835651517078317372,2200136563824824764,658959946689354225,625153655021677080,230232350582676776,4028618705316315180,3500780546031491583,2188794285471629360,731500154701458225,270889563556699524,2924667692601286212,540122490737589870,317210422756968670,1738847789049464865,434727413070934473,773329673982721812,977181611128802460,503437532735988045,2923091796134184096,108781203637888696,2954671046526527982,1462197343685521986,3039791781382974870,1590707295724212549,5195642633335442016,1254177584126475399,129481554443543448,1456505435509815150,3001084731041793522,1118113385753379411,424333737342619392,1591074433395938880,1094753754151672080,865822299197618819,240561962349690020,4329633291249693960,396696452674757928,1133292242923816800,2554694006558816376,1338410936783426790,4038019859255121369,2304360326577825747,2581003669074865000,1543648372782708390,791315465508731112,1381049748917362937,192131363611456199,422162785512281745,1541859606080745532,2957004966087940537,425963898136568394,699994088735954598,3440387238921326130,2374647611803326522,2795274314707898044,3916985660565907698,605010409833236193,1190407984676296825,9621739534803402,577239980869851480,2585515563289429099,965849842434062656,194696075217288510,1017231699103621254,2552629612329264520,366534052596905016,781980209958082366,1574557994997733965,3579601560265556238,2639736771869802612,1094988806363416410,2070572418200201445,1769525156931399540,5148829780012505853,395211491768710233,2412133648593828552,1882075718764462872,564328997659953435,2879700540898498353,485177174176383930,181506413268979254,41225006375161539,412203996168313650,1150198897941376236,143742170696377651,766096002867189672,949203534916620060,125747625244099765,455017767726123936,1508350681415822733,3956181054421070112,1762088149536673792,3878166459451132935,1580901940269460629,575654423498245004,1329942029497284069,602189735692269282,239341429872159500,40986841109772465,655716073790457360,688788515788027131,3682218819324691443,541122703831969590,925103509375173723,2190423125700524535,1770763925736330623,684541180463067528,1596513733333479630,146297445955658433,162534512941129730,1339707242408826942,2043441802442218206,459529879207853875,942182172168931362,4110065216080367733,570160996558488513,400862192944494267,4276464866757626220,81886255036787968,2456312305195906560,1684718601996741666,317959906968900857,1657021815409833075,118371516356478798,1183582432921249620,138329931875866554,1239971718057665436,301862324643314265,621910640931009240,1514063227078229016,899045310204632997,867070683584872608,3966971634851196840,1023694037704180616,416188876652955216,2859917636197309509,1915378967236369240,131679003155844510,3511045892810734560,276629559992128429,2917001321729643246,279575171628900255,2236350211699667400,1837016933848435602,378245255438308245,86700072350964424,839944067326496289,2260374323056922850,825419997339844142,97835260683283545,1760836805415628110,785954105548874276,1435596867725230455,1456203812489377045,4532016630817190544,2711984399930363481,2493761436249097896,179740216276039320,2695800084939137880,390040149843341209,3071748264937343456,323654606652077958,2761612406878554675,1112851076566442920,438872972736008688,3496875043882874648,1356882675717205855,3341781217657527930,999206577005726490,967881532259713164,78071230010356158,1562801961588734584,1383603713073141455,883707961755146676,3630332722542249688,1326991287610660797,328192828440284721,1785821154280569375,62361949475596788,271614760124149029,2327864258925938220,371644253554280458,1878539274442528470,2668637223688903112,1653326292082243980,254317568286248694,3390518747041327280,1333161633415337865,1251259843064291904,1036771522155026625,2891171018722180419,292265871169843905,25867909188245475,57477760278992300,2011494734001889500,3769261684901777036,262807117367751994,146763779140712460,1201921243982016984,261940447250236725,1738032077505769362,5068794574051589898,1529058565932946780,2908926882665146872,632542407576794610,1977433343419865080,1256716997560663398,691162488465189630,555101662263723119,1527213017557471215,421651788399090795,480133280296899552,350486515866920100,710311014545340918,94160965850404820,941503282552408200,543439857758490796,1551641252466170880,771173240653114596,1269614619761262117,404315070680651526,91799960879181243,671958602128236610,2250797101427822225,428590456936146069,426771257005485258,2331928521819228474,2379493161327836880,4286180114526718062,771644716981241852,4166676664062890616,4457281690775671792,679285378561934890,490077493502616435,2009618461740537168,374985611866830176,263457281759534718,1242218741426522880,390869202142695326,3387669371337817776,337956402328066998,1056513463678694752,169674144909383385,2262065759585097080,2151481047628455565,1437880080058505334,598738160516306576,1344523090769247640,2600249333813534580,2235123661260640704,1832489833335981015,553520098777787424,420104991789244860,470265290051459863,508962949152822288,394693961228896189,1127569200408614660,1262007784827382635,896211936410305746,1003648420524880092,896049221462413650,848541833381039282,187220815865937335,671663517248381295,184863992580223204,111161314950817831,3727241709818638011,680416382550727470,1665018245659415049,2379925292171331681,4045612892855767720,2561270138954666844,1743124037266467480,1771861559455655156,1138986170777527137,1953558362720879712,1454902341878469380,1503310453063425720,2054735309321443704,4598050702289972004,3384709675257008672,1262643867778203504,2221489593970863990,234617764194128908,276353731121451744,3108626202603883320,2260338502907638060,902802789775888890,1411341898059421503,754477049374650594,2346882779414386863,893467614813505686,547825952354746350,335688590938347963,1882312665449822420,176579994878765492,2140219436502744051,688668510337636300,1702890362811880008,1451826760257556929,898163202375670184,3089851354046007354,2679425753933715450,337782069056401094,2142641379889632336,1342594468931261544,2101026976214113424,194943441153709185,514297462164761961,1425835756861605063,431811151554906984,1710795725065599606,4922869747248105930,2286294560170915336,1662154631725197654,1430478597042351612,1092056124708429912,371432821060722060,173495080224869292,3903194477250157230,1848204139503998754,405842075188723950,2120544777463402605,1373328818796798045,1876566046332048920,1508982215093174510,1137534005514488760,1630290540722783160,417022783342068252,145529279137343019,1832879755698645744,1264633075471067225,164671441168396530,2237728930040646387,187837144020647518,1392032704977687609,795332829994318032,1060046769574430460,261877001128363854,1446919046391745116,459168642193053634,4579569855002819928,5017302884897248905,408403694850414737,529848156553717032,88394446879902127,620137877828714266,231790036193961825,138369427698053532,691768103119692540,92643694499420064,926331092782455360,22037553448965220,440700701503485840,1056750991799706054,995901134926024584,492477563987597280,2470732464280518630,958488665370960159,491942878763361477,1008024776376490578,4461656643244047645,750038834125875180,2824207581192078942,824019981790000215,2281500688967633190,2220918883011590004,1200219943744849635,1698827732807649444,4605312093290437797,2694048724001677630,1191249051855611835,469701250933717350,2571024155707719691,240829248213354072,964139126465782624,429920324272772662,381219084203858145,3811754284010170470,1868055096968341512,291669184915608348,3402417382236353740,1443535718798305200,239882455634678040,899456142498019350,850457000341375710,824869548361642428,3254251678975052140,80207864100881184,462056743993100514,238026203299831122,528886479167803240,2527568769191279940,372438477914191596,1200684337948705128,359551978280872584,172106063789333678,57353198348254890,95577699034338090,770726843816969334,1295283420678120696,1303618213618726764,1224400114153438875,271709538503075733,335617724446433367,1012470337784146310,4024023684352233552,471207866569922940,1076716849216420048,2790836274894798438,3413672097515395092,3941910663001305729,3539009764063955265,500042883974524134,2226365041478975180,1869670408277630756,120103957324033374,62648604576361110,172058898086673069,8936103626597154,44675383368196070,4020322388441114700,4364231922950650065,2091011493206184878,430416016751443035,2081438238112289028,1174061082589232175,1339336244679574880,4834469226116378754,511875300223753866,2001832229616855286,73502396693928540,734939411089689000,132895869638419659,578326990690025352,671057114450641683,2131786408951915316,218481770337908595,962610667000140238,270993058616711086,3513015183384398784,835720672809542502,411353171686834670,1771241734135423995,551624864121114208,732932745406666182,1565138410601170248,149383005600419860,373414493980060990,2652044119556148816,3358778471405145285,1049873477960376536,1785128445954840600,676816225342867032,5025861591540489666,4354746239883200787,2137998366777016198,442739666916209850,2056408757135292636,343953282426612744,2149460130320061150,1673335956916648455,515357245764334125,405258900763640679,64096864784551635,384536823502692810,748962311333409330,1464133260749931240,530294238969630676,2329503636846423888,1464233426190013806,710860311364794808,1124861893644205010,3806600398204615728,234483384364401276,748938085713785412,1600714062007546158,2033615687517181350,332321573757386343,2170139183819063268,3056635254139598007,12394479584636056,433756669400388600,219064070895261612,2190387589520745480,1572711672158552052,2718054163889505240,708992794901130990,1260986558248940544,447204527361087914,521022403331273169,1178883368980779213,1268847853831832120,719660719014071394,142203636678853248,440712565328224581,1363755678850007344,204696698777813040,2046730187742321440,2121234163458068876,1268735613403448790,3810542211651557421,288419855510287535,265260738650074500,896673589942058343,3895282722921015483,1153173302015260293,2783830535491163280,267419529314122608,1264233575435937804,2088258749594001805,1175582231403875655,297600576666705810,2145146162941744765,1751236268079504495,251404948191294144,526218925144318184,760803606954049240,642579680650086747,2271421153824555155,86208975504960612,2585969490436026840,747104537965676570,361854501609021268,1962251562505542576,204228078476766128,3204117162721243701,1316325367207045860,583820461545873297,781194310456142823,2853443869713622224,1570274609298149424,2499819011595560835,2655189504979565010,2050897073638201304,1905771754169664348,3322119575752486065,646109205394681760,3816264204021176055,311659031379454779,1242953275299461100,1207431885595475660,1493733556014591675,1352848468035885717,178172377385616528,445379207668386120,2178063370124203236,1993737620329572225,377841907290792726,484061002242699749,261977444501261394,377943948363652752,1876958613123727635,2831593677158374163,1110245663762298891,679325064627045144,11965004025945346,478544515649504400,687337470781354854,203758928706311827,1431863852650102164,1987751011234872312,2117438477644371460,1796054353613051259,2946179758039038162,475802535453830665,846699143154146442,101213431178620700,1265020653923355250,2050360435323319896,1197207777491013735,635751799951260468,3976947840071003535,1011344061219921082,130872069389581465,1831995617458547310,1527263818674543168,3259070684451918210,1490259617620521312,934656499146384205,193614211604998061,521261457352110138,2607846178036541190,1876347863773511190,2014289625411204210,1088381382687148671,278895314070951408,1857522210367289775,2934177803075690624,319845850433938102,2453220969136525530,1654007423912670879,328865488169294330,2644198896097976580,2425813621614743427,2324813071688985890,947305678666379220,1777815625504351320,4400335846147847352,484458477248148813,2705345183888616122,4694056199780335002,1007227504475681475,686454047738686078,361096039157595488,345767133136426137,931618366451992704,101823805520630620,509059574337691860,402668064727031665,1492197395043372822,2347156625301653238,2291983184103960720,2407203941418836590,1817927592289783980,1490627240239169210,400287350108091090,2330582670452722455,3293413252595935230,3878103714754880104,3599305784021864934,971715913915611699,2618977879201845525,1416391815628438902,413540055380250894,1335852284200925670,2696289791886525312,49789576236935640,3982700156033800320,2676656206108795080,711003156643204126,1564733013114500096,116961162455734560,730921716686394600,3165359539919280966,935735351392451910,413385592194111238,1609288085698593860,139687935628727871,2011797418588462988,503470526396356625,904589891546013966,520282929704219340,1250553415318161212,1063051651629152865,217479907451863372,2559669253806818945,788950950006947670,1446318706166227992,403901426762460591,160934693667789999,1504202023890576468,29094001591759845,2327247270482481360,561191252632227740,295575385259383684,375272466402562650,431348844020002530,496218149489627799,4277790159757560048,2935675870541312584,2098718892174723888,892330053060259650,876058424660099303,1307657827798074936,346842568655456634,301175627756223516,1600083647885476040,651560747042071755,987738054499935520,951922479268859703,3278391960046217640,919592909353653140,266726027424956346,1346385269525857788,206563881833928928,516349044895289680,1158968225814784470,1650043381059656034,3249015666499945308,1785675449770585332,385670204686736912,964062196634619800,3647943236971510416,762530514295219276,2008678617340193288,2128858910447510094,2548401698598119775,516845458865106105,1681657155296506323,1071218261227021055,976669061209967678,4257206821713775410,1602220951634400220,1794483574072084780,232468182000324738,2014592712890570037,103787329721367210,1383668201753728080,1079229387722358614,2641051222461417444,1093578224470752342,2560580701839281725,830053028204107885,60123702533579727,772928001673540290,2158778254999757601,1329502037679525300,22276236840396668,668208380198741160,242032025834499852,537785576035853040,3422461582710984940,2448985980408595920,499055660175113336,42420155771863883,2120757779192291850,2362977798513799410,273299002818051153,2168525179975683582,1269443162126282768,2132697679030713725,839948097743636070,2128682204272939266,2020146843156395136,1314267593996448912,4321654256321182680,921758406329792490,1085826466081254270,524934884635192091,1859561579415768078,2488137591672305895,786914938052447340,3856446445439538828,444957284145543489,61591465890223346,539797502526603624,884552965150593585,835111939408464480,25507661254872081,510092965977436620,715979208496736864,1749604077690073980,1232646058752145065,468668441452843284,683672581706314356,1482786564763486941,3800408342410862520,369226468824845234,1626699118149478248,1638287792961533763,1053849715645456114,2874611604644614170,1376178666516706355,64088455256261700,961213128456685500,2030749505250969944,919218566047767870,1313890638454838628,12271136620961808,327191589996007680,2044705445602632000,524274501263824970,869168217554645884,3636099960824794113,1652414487709658778,194138352082966365,1294102442506783500,517693880857166639,780730750918970169,417460979479004478,3162613770784289169,474750662799922760,1137490188329831112,1031474449897622324,790015253617783836,645791311608236655,200001790099938960,725666458228650258,3189554939493995148,2163284954895356976,3131788915883788512,621029065223958990,1134443375341064955,2547311261317786860,1123496397672229998,473752483641763518,564637539401392710,1234470628428400095,1155586570399970792,328514545129858430,31807734463200396,159019801076771300,750975921882340539,1946983068709382988,1565508969962400345,2221624937499067289,4061422890139504275,786535559221931970,2905807802236827564,4397605150916397204,4791146201384542416,2129923995302136975,2706665597219807586,635305368344739624,500267199610281494,107525264876277747,1062700708609324410,2097414214117621035,1555250977495967556,330401744854946156,2259120731970030984,637846817835015450,3636953384147354481,305129447963397393,1003929817286619495,521257775437709688,1627655789017172025,2698024757218671225,508413983289872213,197122657075522163,684763394947767858,666305623030718720,261400982574903563,2613698778679055970,2388701510635099810,1309370185684129692,145120128589679040,483676181092164480,1243395194123999540,2856047685759980532,3233206914888906445,281038713905749290,99576335456002005,907228198361158674,599615641036593078,1118328256157192937,3334063865827231460,3425611582187293952,489549097628810889,80470534617154652,603457086670455210,2320447020584433390,691225866754263279,906208149299192188,599807059374643308,2749819035569213538,252952963507173590,729439967912849424,1201170170100466746,865749763700893636,382592464798902,26778277870439900,114750357017040600,2677188883653186000,314975601891914952,787345040777815020,609725508825742140,2659009777262450496,646895360260428816,3226064882228050302,1027077428890100694,1636562232988662870,132409326822895425,264787030872695150,3899465277442840704,126520403385053403,421684304013041850,977318847706707978,112240731570262092,1683409821916577580,1256510192323295545,2126429579918275020,2758859359546886802,735567604477680310,3969777210604571808,95769375514914664,1254968621239913115,2858696283017042937,618942842131278158,1995146371575850875,433651999655448402,73587072802094220,245260902551894440,891285546952993644,815633781990516108,2148633278394067507,2632350951895840875,2643838218342574740,3084886880513277651,594640394413351236,2262973798733519115,1533629223494577230,264154921035748344,1886594954371724400,12129926121218018,303211838509043550,547070091709860040,1166822836263851784,3444092926536325536,433254805444305453,649213760318126264,273774829204323105,247583320592243225,990214603909327100,340238372432933259,296085320427132780,273883096483216775,41767609141575132,730845528314041490,506810053485079107,1169521294273979985,953790653271061850,2372342166494894552,280711110841407945,613677351193935925,153720693598594816,463664531460663810,1029516671179433292,848036901034262408,2041521550152567324,2203188030512542936,359346434743641125,729255772964525172,856942984132196084,2668042844501671705,1021098688880266794,2244512934632663560,752702442120951810,1460324914285813632,435321634588602882,199416533855955972,2326246729562991900,871334349063884144,53603818840978182,535973773898149020,539991011148383817,193579233990076965,329578253623917639,754286865614863128,1211189310121883668,2815510337319762360,1234185233008517520,3690585639986594355,711140360742341298,2422097058100169184,752544602675285094,1845940463015841600,1933338151943488312,21189487393033573,1059346884584448150,1544899988211221307,2374465561367493265,371025990931473816,2016107372261779208,3446074302945295302,357306931701126684,2154329926295033130,1157624022587584044,481795647774636516,955642450024565128,892031928303107358,912496181624069625,1118078525859852495,2098206423892871728,442571033340544593,470906263207432602,3015449407328481660,673698885336440631,448238654677461432,485314472343399786,11937440455232526,238720024269004200,509216768725386344,827459856521637096,2506263203512549485,215973371079499887,169185901696855020,2537482391747213580,1089431196682513545,4418013254484679956,115255052896070897,437081847041567300,1708124608370289315,1108114081988656960,260224924776576444,1340284838669759532,1258001133043869440,4064700686934604368,1750996520224957278,1806403923206875055,1810353744989685528,2434480286492902860,365581055186154440,3198447803607062650,1261444086425931984,2476195290264412525,1007928339819604770,426344472552688995,1284722274646924308,210338326398187188,1869448008031237440,1481738709259789540,4184547371969570312,900588060295214406,254236013176434366,2509377941302416672,2793299840742203910,816636061494955868,2938756743377924152,977616222710360664,111777463791372347,56498411434705660,68818922523828786,1376211880819547480,1031383978410951128,1827572420904255648,326382060290386040,246941112659154054,878748835364352981,1949664792150479285,1079476093912445720,2314596995165566080,1461444273488730450,2846202533045410662,3593689375448941755,3295562966136416313,1934588536507667120,349970552494945185,340753981756244214,807226371346545297,94338849314088276,3311898802468392840,2608879587168166206,571688919277220430,765455396264588466,1606863593743003365,79083046892241360,3162938222000442240,1005317785705955716,1193686384156391934,1665037291667560506,131499273106078625,257670984951998976,4160964252541590612,1975550182874992880,1007600400723506244,2026985449005574350,3200903535107044539,2708650510671074844,344211844360287418,136646199546081179,620576563196546520,1851228638248938900,809008684380533932,3148842777220011861,2986242736919958612,606178575658063320,460023961635122586,2275440786127035816,696526445357018213,2337450018141782115,2277149584359169450,2682851917626580832,1707750169039243278,2841823763129559699,3651664513712338935,1417947293419180335,2550455142268603870,3222570858680103957,3352791911456721216,4526810629374898809,866044776746402685,506352344872443870,2975554239467609226,38038159836821396,760670612787172080,354241313533638405,1151874185561993304,454315842194020188,499397915179026024,516130346761675194,1336125846650509620,1102835991965592888,1559864381121130986,3967215284814841104,677975702053030761,1252805989485946960,4629809961979267374,3303302501316544904,1798579602230969036,1459323859702833870,1455447825365399625,1985610403162131305,419357008943551770,4166274727631178488,3363846849715603069,394134824609094975,789351815076497439,41235075472852135,353400396771147300,192193960156591119,578841226853573025,432275962669355904,93641605562738982,624201196674521480,995809706386605630,258120534694855545,483226206188844682,337512316622067639,152655422525088888,1433759597000112138,2048673280870912290,1529194111655076425,875709646215067770,1303887324960724182,2326053702745108312,288012019508062675,260888376877816365,4109736155135591024,3389683138744771304,47913966467917794,479081110121829900,474726491816341122,803166112145154141,301263221255249775,475132006057450038,2148717755336976840,559103634433483160,878609437509616135,375958609950245142,2485842978894778552,3447655386976406725,1315635339221245962,304343561863386834,3441662091090025509,1911946574621533923,271065258649850960,677580210256258040,252890886465403482,1317374324996016624,1698181594223895872,301537365520678380,3015004447980908280,1301505653113314852,161429584080793536,1140256360863820492,1444119266867539950,2233995338881579854,241087600148820328,242747738107352241,2011762657129447971,796762590367245225,191449966160831260,1914265011834287400,184778639312465006,1609736938760813852,2624135147024804595,199559479563369662,3812168677961602216,224448023037757149,227042175616350483,1304060275044278290,1500098637959238345,1186971176689772085,621382875473812058,2514999944975896125,2405186070014517615,1872512183420498088,4143166762422356040,2965579224166786998,517081470820359994,4030374389403263760,1420059183147944628,2999772326613937224,495238604795408544,1384662513970301902,2924842801747289605,91567503637028370,915562550324421300,1357316588427634755,231115227299151510,348195190632617280,970133231067017328,1040423252379082884,1578120849946535499,584894353204915737,3130499585675577720,555067371456602442,1072847673754124250,460677060847577982,453325390570245444,380328445783286240,3100156992901527831,330685329318689452,773278765130416168,1129761555858020817,134320950519445685,1528591509566067980,463811157579192075,2446291843218085330,1354429575454333782,366948356044790340,558968902481675178,1015502145433932475,1904422716108977604,776794219489829416,905569295195209410,3447818775625966686,1023557290852565595,1479513240947595033,1353017677297098285,233708962413017950,1063915557566006528,1177787142570028536,1068643602045271725,456620553254824448,1278116188919044920,483073986449484576,691561029909654296,707648198267556204,651949065640486347,730585660905668190,47147804251465530,188567953661784280,3832049363555448693,733775969847829284,756735098995212040,1365430813377539116,2504361664392151776,151688899978873610,1213361412783213520,901120266012001050,3362444026754485266,484095208141847076,1064901462349686624,677701088834657397,970123428960047850,2741714567045372583,1823513445873256434,4130054700602484375,3227159891411398698,4345279894600845660,1112158300058721042,1224727360353584004,3864919370115776760,570421782628718931,1418233136649628860,3618413493376886784,2395062422479591536,1535410907829066996,1386445758106674426,2246234415221889630,3044206673141707584,1137986015006131480,215579587760546028,861058343398266828,3091989800158421435,595778223215290508,2023290798230877975,886233419705704298,2821095675685617426,93344610088938060,4199987441128359420,179929725060307365,2878519137105165840,4093933983559868784,1953658294520209980,767234729186447661,4004711240867237264,2271716816093104578,187666302585926391,1003788420714118095,1049040678190498592,425516641830347640,126532974021176639,542216960127630690,1864006625926909905,757783370256870440,433612731835631177,1596746834111121042,681891678760512336,438916449168268440,989327921793742524,3481099836846249186,1653537170247891234,1712577696002948925,2545611579777117705,136962405920257563,456484698178483890,461890189979142276,11137186948753161,185596741427492250,742294804399211400,616019059041786245,1448468119120597848,115893125956466232,193131222380516200,1182610176350371587,3203659072522521711,3889637208912577216,2272982384012296833,2862489847520095020,162479973476300427,799867308333492549,2637507097267678489,369868770124284862,313962855417885615,277270817595672032,1270507358675671599,2241649840520728728,1222004464260097525,3184872278425761360,2808732623101686057,1732294438497499676,962127643038780664,720883060333780944,184799471968474545,263966396143397610,761098172607809415,1338676710848137548,843946450035464844,1294947342054847875,288599998080081320,2885640674264610800,195574054620908034,1629580842918983050,1372594831932749810,2576765098840455594,211529630540251126,370075569737118640,689604228426507489,1031540834185272280,197484887748926295,2538775003000195350,1624959269857323210,792813356771321075,112001196909467130,250951191851447365,4516558286294903130,3880825931913970257,1645341873914201638,1873369863485875920,391947156573119388,1294192150182573093,3772887053267313396,1059058288392069456,632946149078039640,164509241220359217,196243671844135635,2354630163266108220,2530180712414009627,364685782943044395,60608939612795915,363608236083822510,194544474613164234,3355159210612260312,500459800191736760,2106384200321682114,1838925023188650528,14402663911481222,1152069166813599840,2964248381060649970,1013097209653816344,1476014838317571159,231438650617626402,1270027333123912404,2766103278301624170,1188601218067758153,1628285793808830756,50996407372832916,424916920225656700,1026423818451255015,751695967058400576,411588918014632178,168622702896951588,1405013393939690100,1913315337263022175,1378569752838731355,447713083441534131,2099713653109353730,571126609815489136,2482408316335427460,572072573214481388,2172237213810650679,373443301604345472,231259737657332486,428656208336076780,1246600500580443078,102755852970519916,72710213545734270,290804417232504120,441205930064723210,1084434274921115892,638974857148479981,1630051370287472616,65279630253527210,652714473260728500,2053748088343429002,3233547083992617400,4006084802788074312,1365790421635682301,1840085051794890,64394899227951390,183962348279424600,414203982066736417,588531197019133044,950793436952734310,411303058470186614,247116544069494246,705958656285399160,1496036597291708334,3525810208871613960,1834143975914571170,1200380511396616101,323872086914307984,1047724284319243790,686335068507156480,1804814512016681781,164877206187094215,44980333479804387,3597974590386360240,3231107862979055780,609023692597007416,1541377037513128482,237584468798522275,475109211694085450,1922545170005683455,359267065763253786,1326251727748555538,2296107134619835446,598909809032390982,1425805478487448125,655890988328283681,1542708287104875102,203132574006920901,67843183280820168,339173234782171400,741803475866355796,344263455748486551,1690230690266795968,1395521179496796408,483909007511784465,2485806435973409256,177487005927628344,2306196431469756342,1937517364229928906,423611362219521760,320163639776646156,555029587814415426,455925233865134268,134515049853990876,2039719374833713260,1537602056671781992,2614479985628594472,1522467248342335752,180757821836897515,1807350351356817750,425602120629843090,1864590910594467633,63477023058608298,663730676921482665,2588259641828522080,448023724460575716,2095375602762419472,963414195221720604,1408471861289543526,50326337412762480,447288769518050560,403219226944388799,372902000220711785,733196351445653499,877376305403545140,376851634318279964,520383908741202858,674108883082611375,923792815810542246,329994611639439885,686748076527686712,960279810137159934,2058828138653984061,1749679673250300540,2949809189999442320,548799291974489883,1310536946415746004,1366883663931615760,1852894271608751960,629260161575612340,288980212631759236,3999365085932247726,1769220739784265264,2110632985059621520,883488618309532960,1670121449746405536,703709639830191264,2278397992462853802,1493714228487901005,4398470855433187875,1170431588923659111,2829162621036047793,317355975648226942,453308288609055940,268504242307143465,1150586769844620210,2041426460579151234,406983733759683492,153087724478097248,532615265833080310,335769735143388390,181913153693966761,1289471405242057324,691748632679951304,310664624944639220,914590624545354544,1021371511762178598,461860443188745834,922825925705829999,1285406542107410640,1784609089631541904,237376079723496048,2283660679130785368,2867164513259089419,1180908199677908280,4264758887432803281,769148296092298689,148039797085719830,1211358736107988365,3881965237147793430,2648732596611387232,649265498526913644,520863349624251244,1047589712658266355,168932209896073260,393868449435208038,2862649678109723226,2655842879249963757,3716428074302093080,512095821495945585,215543221195838019,501328921621316094,180036979694704371,2475866944270909512,681023682938983680,141376024050205406,420187635647742054,1369654287530825016,296186236434186052,1436851765336493925,1604508641538750435,1842596499877277856,953046380423661084,397780225274516516,27178021725130640,77641612050325440,3493428019668475200,2454471797221134414,736527155957280324,1178187293039764550,2236943843541808032,1802627639888589423,771378032165848600,2810858618209250178,1793005781386809960,517966580120642204,898663365931561320,662221359101618220,1334633392142750104,2552830074940629610,540491946121166913,316054612776469661,949053117265686160,3303097789111890312,675646841576712760,204303194614163119,508472201624098224,1126153450498823256,2090792036736017380,1120698870901645200,1577451942726784392,156312561206747815,79652224053950601,906177099024423249,435310086696924640,448494401718748647,24546698930122242,40905944320813270,3681065153129753700,826106769275063040,1555314002313784424,3877098432190021971,2498891540077087862,906176124431649768,871437229112727360,3720000115275537488,1452703948533214321,707775800999205246,72442431572226978,241443922463457100,440971722170677572,2780039840788418496,1749009556692292977,4174142332912740801,600013135284795435,167337989655419172,1394304976034526900,2592084471570159080,282977967205406008,1829025578585370375,1044833299919139605,714079668562193028,1434394789607228358,78991297574473712,1189617707655371220,97984153517786640,1175659381764429120,4342734865347544269,2766708185968171809,30388889934273580,1063474992154265180,258935878284492726,3020531790109323770,3417918115290990516,2838061495425969480,105120635222661411,609917057929414116,1116061300396141902,1541148096397539996,3709243156930137315,1517246984947439952,422305613209308591,292325123215843346,2800936669457280330,494598576567567590,155265558594610815,1552456519925693850,755561412165088863,382412125381376730,292877630196211710,965320520796115792,3686577701599373967,170518909041393906,699680301171568617,369895465813339070,1857050593720505127,1203763181255823450,357574572997098384,3128375908200764340,226811561833617180,537708521352514141,277978730184884787,1317426568661512420,2474028012477107716,313948766734111305,266838170468297824,354493380168708334,1212555296887246284,465877673334403240,442061332209386805,72214349970342285,1155281103716652240,930289321868641228,1975559119464407016,68498224533291675,684894177339419550,2283059175536380416,2940007502468192958,664412157300653356,387962074043234430,913890572259095742,847449773742604515,1827294397458263928,987148209326640006,1074857621235401190,649689251964322524,158499014127633491,836217866930087537,1523792489739719052,1339803623272222920,1678226799936373272,355731281350123515,1259642609461574721,423292829906228396,985100287387813920,2844876631278005264,983524251958112753,429226710354431904,3507383350177256376,3862209819453003080,2192580523139416035,2904597391924332036,452878974841572783,847673344767156102,2627158666987860960,2877288168560598384,2048158248257978115,594925494678155178,274725621774516416,2060176377917095200,217882387009125909,1694422146275982830,1418422683943295424,1730969006489901885,488477309557728015,56000198911724133,219930631347228741,985803169936068748,285484202452826505,951491135943654750,759054636951132654,196656601807587810,74695640857797148,426777099515355040,378283765909632840,1838132196871805572,662442893812967979,1849003188572986026,1694102753952413480,348285589484217340,1419911352240780045,3288548691719480360,675712566676163538,619753403349069504,185432089297359730,1193406980611543527,378403987345901784,4145282217160239933,952528360382020948,3082185904694796690,328875722008189893,3288331665334554570,1549927620386905014,158258103927080225,894546332285317355,616321718564957592,172795073522522962,821124017307839523,313674424260994755,687159331565692140,2113773118581066072,131545016560202109,693122605800878768,600709387097761528,533111419495579410,2199210652781334405,113547384056944175,1135326684166086750,1003283902067786736,3082281599773416110,143918588671892451,1438999296563399190,1769823172188601772,496735020431251539,1355538240617743530,2273339040914997454,346320286854753342,472956268503834534,304802675320813803,887247225031749480,57726528010779978,288595182264723810,2350269973963931925,705104617039994734,576843005633707740,2380436100351190380,2072847782382668065,2262625399036911248,828544560315888510,1123435377235562360,3161667283664168840,821231051042780154,3868944633597661623,2194745159398155270,381994751593735560,1909725547690075080,867302123893840806,478633019513135046,2680763556593179182,1032067260752333560,325963912323444816,2206404083015659212,2431246523640870712,147933678024488868,101903245143142695,3056699679820559010,222206801005465731,1974914579035135920,365685182238617490,895886265559719735,1584858937137058480,1407918563101568110,818698343380718910,974662929176094456,61690269239772850,2158878278789512350,1187207941905384852,109555917454481136,133719630746369946,375450545637653110,1304516122294018677,153130841629934091,437459682006220060,529744639706834784,492029621064529950,57777381917084965,681457793264700389,89702744041070328,384390209497374480,2887330979231302590,2617165089139971024,2344943035149339852,407730171761696856,399105101349602406,682913063516926230,2231275290334027624,1950618906473457525,444214904325913182,154913818394791573,110335528206011865,1298425241209056444,21407351964014805,299663799249426570,1712140984302567600,446029214689015040,294576128084973054,247815070607638667,1769876433656798050,1678490590874072049,2996160826062694605,3142369877663134118,897353955297107265,2866508807793418648,696198655803506373,405979695474297870,462016891121639688,791807584114828616,393790370439835008,1067321505773527998,837196668981635340,1438721558997722736,2182176404113957926,2608421209081799301,178055465090366448,1780321681934608800,298123103859143334,265477289234299338,1516814535435747760,1790025877187536484,1228990264598223015,2581508092730883592,722547563234468224,1619892915198172254,1249743570108988100,519772794793281160,1484817214319657715,212014214988880058,1901151923945303232,814956157762045968,386994814617108660,335876117046654526,159817052233758792,199745130471422390,180128975068780704,2966656437519656385,424275083079278094,1288333912140421908,25510568012194665,408115556023198960,101013880861847565,2356681368220865910,193663341060446994,2259109202670565630,2959501907709909744,2563647778419348845,2307579262402221927,2641777069823263152,119226729212186163,240423040065058316,200062361297697000,1750315800344949250,121840569342972135,1869404112285641988,877707025235951475,434949206284585680,1496481209169310098,702522547758214530,220153756370317464,2102600336262652884,1371416138198345970,884813133172061511,32932805227416504,2304993300420671280,3986757263131510482,1088831993679316215,261847184916958218,2157747197451468744,2458549599173694441,2150332892241546450,1831834562992572495,1465277650421464350,139541927812431170,223272831118666427,1676521035471602610,99179306217018255,1983325014844822860,3684278151570078096,338445492554923273,397296595244277426,752663021632464420,2759237193555375534,2338518203855586501,48509219202193158,2182627286793396990,397893776667863175,663678386489388081,8357395079075712,31336101135781920,626639417148297600,879240423796057890,273256419621914874,2125047493892634780,984004834915377110,453674688838472352,566105443681157910,3724844850933774760,3198531421747820824,646073052196534938,1574415876785335392,520759056010092950,1923702815532681720,208171011977908675,2497722425546951100,2298215772589740264,306405863197388640,38323089901875193,383180296101616470,270036648162747780,271612499670040612,1448335509032472585,904404386128037310,2749841258812313547,153030175671217686,1032644671309780551,1426473065292858520,603599062687564848,469990239874738255,4214866617400643523,2196438187840342785,598312911656428980,81532381952360349,1031782883381166681,981673854966647213,1379634905030192868,2149573143231524070,1139497980241732724,67522759512489456,1350276496992803520,366754598600337972,2229192468954244410,3777630296240288979,2588940455425752516,236711553465431919,955180494756740349,721287912491494360,1878302595587181966,1539839637357772860,257523366562345902,447494722267243390,713020474783334340,821696733796360233,3107323333802076600,619002703521830730,596012362948913492,1284280702392937040,1566072478958233272,392040926674315390,2200166166184966749,1300163053193832672,3894419305245380670,404896560040634748,219805355755661652,263230253918798157,1712875795027448970,78037976557063560,3511242964920606120,147999234775768696,72658666370511831,257506727161312853,230119248577516825,850902084500114964,312974515454197077,2781626280724336240,195865460523987381,335818065370691080,2225315429917424598,3860710633221096771,513094550363461311,1322669000195498615,1517462727139335375,1350616835215699848,1512126367161942352,244416885457635072,349120563071255040,1074140080799349425,1381464337476705510,3385962523123434920,151770777687239221,433573120059880740,1187484359251446080,1301040250286525104,223427610991444731,728038439827912476,2206283674311819366,405091679879760585,623902735874507348,1893911713324154052,353026026845654502,1039893905237961644,2112929362608707000,2752636761258300585,1538984165530942152,921169685397579620,3918551049233318358,458021251654124985,1011920290115621592,662986958111718888,388752866834601432,174433571654242797,1550313978312512400,144304601748150784,510237060012576114,658843664962782915,1655584523491864110,335124874856731645,113637139491821067,883726533058787390,1321709876997302056,85443753198198702,1708647068767153400,475849163545306482,2291025967385781339,26171433332676698,915877905949045270,377221879467150210,289262710068030984,133313578713586536,333239444560553940,270219696077029209,2255330289379313550,74725037026126188,1494301104208235440,137056929841717344,304530262178935680,1022489500461499320,1393230187343318144,1375964791468747974,868396079860899116,1118084412738884899,1626760362963867720,700615516126704008,1073917183357432023,328571563088619009,210223671008889606,1751629601120366750,1773947907757152267,639613795034598825,1101899966398750952,3040342396673982645,1337919110993271560,1963637372540071963,196942064386031568,656385668658348960,998591430988957236,579144331312244145,3272971977312217227,3132481246464265912,1659782310282379248,220896126448209032,1421439187045609680,2171901730568254167,2261613037176553564,3612814322503694576,2086258489087344102,1413115088616871410,240637478871875550,802017399493261500,2455284371806287648,292087181898214818,1009719955748591010,54332577342040479,242013803133860121,2752679069255828136,1015922498049555555,1455923511800434160,3893938768446447231,496726234215629619,806711441279374173,755881184424526110,739946614666237110,720058554539874366,1464323343385734156,1281067369626812487,678699857743044402,1244785406079519360,1820089823432552416,856404588297245976,254292055632040266,1741176696729841780,2264671776767470965,1044743498400907875,2194579110556426482,790190811024646890,3549362933598889284,2031731929762763520,1870868189503903240,298042759233312165,331114086761046850,84346646299029431,1147524063554452365,829810193120023404,4675411901644967,13356522357369420,200320875806129700,621334056544259265,1373655306601986012,1789892215466969792,2316904279691331911,524447049685576986,1654942345654709620,4099440719501368326,1653639886910383812,4079062141829337294,783770948041930654,717013513606390470,361825661994182820,889301818221034874,616690547847958866,2600260121636607584,97945924203981105,979327212680149830,380903064754220232,66580016986973548,665710393581741720,2289314686682080520,211709301599915336,700300127795023170,46163169872595702,1846277682056597520,100844244017002200,252076591102207300,1369954087512992536,1915391575354408461,1757834054760417012,1418156849000220240,396613344262402899,1188710394738235304,661292891939788386,3332674228628478168,213221586938719440,3197891789749722960,2415226546953448263,1455540743808903534,1079821907263200600,433480511186199960,1485828947007162149,581184326561356236,949797833550473772,1884181383597536361,1835826099113454490,2336774146179143895,1075437517562225192,2573945802490042584,1202795069711636709,1037194125106087395,255211202320581841,2386747054565375625,365319122096213885,4071253510510414749,2453056762671024570,3450707528876332432,1198525436492770218,169498875254765598,972345139004657997,42974813983237435,1718759767718056440,558165447928472799,33763670357870558,1012772896685853660,1259164360097248395,1716869400964717236,1657017833774989347,15582685569064318,1090640149801517140,378486398123232630,270475479916025768,440039443854134574,3006696347602886544,551158934761253220,1332693584812256870,561889557626912424,1387289448103596988,2500281647381307681,87694032833952096,876821337070273600,1419122102767368535,210210107810222784,280227068626767908,314451748009991601,2794747184592709200,1225910385203190284,666920664080198824,1039736328852245283,600284991388920495,871433800712876580,174968635007792958,3079407962287782088,842017159711348744,571775434391413344,391667165841998490,792384775471994612,650260247230519992,139136924630106038,241181716376352863,978295762834126275,69042131948545358,1380654846579168040,272039305412659839,1348577812288884675,2041545462385976225,4056556385040811686,1685778965348147412,1033623992372076264,1152819121598783568,1486639427519803480,308813414973809252,3294739436914441818,95925435134979828,1918247463676829040,136222827836008410,1362042748282264860,26237035918689080,295126445211514650,655747194755753000,639063421516946910,794307878411032680,229436002297502311,176503512883645170,882397269119856150,1792864240350288240,1289434620916428456,2010759281855455797,1270208836666511214,962708943986088762,740443186422143595,1850818123410914295,2220320380749976422,1641139533087744120,1695095364756400754,801539532609538625,492979110743582718,1021249001427180225,2107967194378762002,410868953217182925,1109246913667717815,164929089613759188,372779498419397157,227505577071958692,468225276951323812,82965378714697875,756067788624482926,168263595849351526,1641282697909741605,614332334684772055,651954321698219720,504696459052415055,427928330297348896,167525074033913094,643964962720365558,188174357158836855,1586451221964238797,2459990105264270106,127575934266455889,850389873227338540,977901327678416475,919257212126849292,901632750204154455,8305425685620966,83042888518179940,593082289635035000,285456016673098866,1223205788627999376,891742568570284305,1298929459342972617,1673600687801286570,356653342500718992,1766432026561645308,1834504860395089265,140535188206034988,1770029527324393335,839951377851069135,305652104033715756,358901702851154022,594462942380895212,1928124492390225010,231979112935194072,130581358289858597,2035919726976948020,28808052653061147,576082015633847900,928861795000430090,246213786539866272,1332262392172464696,1592663316781822095,259989158677730310,3032790496117103470,2057482270247843761,741605247419912136,1373640845275802070,419913721018833975,54246987802115739,361596912455125140,14531357326454848,435880829888127360,973821228118319385,556925994031760928,255781498860948432,574117708311157371,730414743495825132,642900565101811620,397004704384020855,1384612973255359468,1309033921873584156,555071052265638444,44799905655830865,3056958422781501,13099448064071910,43658819344491700,436528120039203000,3054510834079657005,1578499785979799106,2763697691897368275,371037420518260326,267594251582232808,887787128168966220,1249072973606371881,424770989963455929,377109771853071705,2151905571990060551,1181679310422598740,1463073321765631296,595360856314842072,403943865669406687,64037206215315711,1707423467072783600,2442339761676728144,2555821884881786283,733465319575262634,1843818945999657165,713634329025252540,1783811781931804476,1783229954402150772,889813291159633086,1745811861336824748,1409925264330854580,363832537986315585,642842589865809688,855424839913683471,118800759554750352,445539176956723365,744419087366073345,1374978103000845129,191869692271079271,964465903092162814,126942796126439145,3384673624056543920,1352715855438444018,88892162072589195,2073863845089675450,1467449436184021650,2128790093354488944,2623590587534573730,370561267830321503,1041014367964240698,460494431753182995,1611951665783103992,711619429957824474,751129626640205825,169329371260547839,721043498011688430,207105682860860616,368181163417557785,2630389900009706253,2327853151469772252,366785556308862325,818044352274738078,2528773169974044066,441698897396431986,1129976882345609112,571067918472433655,2605364773355776131,695595009645637224,3268841167174676728,573682688524906482,416940337023237360,503216104853473366,600115726706691110,2050335062672070312,1578338682032347405,222343912988958540,112893589783281963,486247865693354688,1736565288748219000,2797101829213837614,69084670961082870,230250291527174340,1064201494376683176,32273381563285332,484033547061239220,858635335747058445,554853264554642848,1507539629656901682,2411645470166495640,2531149284841451876,316756639097695360,2448694323694984281,3638713598526960801,329225068090317915,216574654906494093,3188440917512130160,40184032205087108,803568966911901840,484978290080916136,1646614515705128730,811443003611070540,788723409330079566,1688988787954445260,250799533582840113,2112563962162442145,2225249196311384280,899258683486080720,308898500252950332,343172807001549480,2416438560400212117,3293631607782738015,1065233901712220912,65228784434036517,93171007101554710,403732963706469648,576903645043392195,1002402967159375615,1215176348816922690,2056108644256994235,663967106651447720,389654383571240555,749960968312097628,1601267170290301332,174362337669887590,3022226135206199901,1789617895477992975,300845491728945970,323694888695517294,1794922465744673046,3179682562785398712,111174403799631480,1429185847153386960,2155227133289231128,171921387536265276,935625673942317141,148911248046220920,744452347614566760,625707226043447568,987174640166612724,1311956773012463076,206694556259259685,2488407824988611056,190969595630179245,1145657570896469070,1851503589268644504,44440792908289605,444345851674752030,496033184300682843,2702361756938524488,1851606388047905646,34258248424045270,1541405721405809790,3579759881808274899,200752159923018138,669080312301769140,1671765838652348910,315983746834014216,1329670428987729555,31809015981702492,2544365322074447040,231698610192082470,1980849343740697752,1018494028875475410,286487952659662368,2155710842426124342,207742567170797325,1310618584666634088,1074629946445070245,2799780165086132886,128897191086502554,1658164479911968040,2593277114427195376,728493919935224076,585710188786022864,1180619620952960252,990663752072865240,1955559841624234008,521248299831278950,422699182529028285,1188926138871646468,2822565694549612640,180490758340734720,2165585385565301760,590838725884221880,2162827420618256742,251097960709146845,1793305250192795050,584582858285408136,816969826942897872,1342300742097213294,367065669878048730,458556612904250310,272562839246642484,110940782737385502,369750686067609660,848906170748413760,1329410335742639262,156999712134932248,2371875487381836729,45888504361659096,1605871998661852600,1058758944183779085,611799170188717848,25650627698454978,256470222739987020,412203872282614710,207158202111707807,2654768154899068944,1371966644060508795,945798640137438556,328423637203111555,310446303685006977,1034675433334823010,406972679537393559,159255574883149437,578431041729767430,1715296435734765888,252926362656834822,2147786208520778730,318358806652837002,964569138150887550,1349918950496896864,1731667377520589292,188271774394170948,735824614007818460,340319081554051430,2801796495573804393,794042944178619944,626294508510654720,770759580455928372,3470515096975109460,2719018515856775328,2502601680802354416,1896771108631712831,220051805204743936,935217518907698040,172270805588252625,3387059140295061768,2692227793109153544,1003416927674546973,628682224058399770,1021365778867170849,538492902351935848,865063892716909218,766771892566340208,466258850880773550,134860806529959412,967168277323915068,2302207663013029395,2773219322078827405,355402051007662725,557062417599264946,384500153673760984,970138495437811740,1696364895523273376,2747104281244579340,148301215458648468,3336305635822009770,757564495724237628,2565064282553979885,1476128146176614630,382208479449789192,1478147864075034144,1459968108229725936,1656250870271735430,516362448291216840,1708777351398913236,3515195785593095217,75024170640976869,1750316185698697890,1035103563580806825,4487580144245868,22434723553438660,448630929795597200,266982548845184145,113602792321429040,283966748394063560,2046016807591048176,404536122253716955,511849570694028051,2488295826245488590,820495643722771161,152914895852885212,2144463553036467549,463214056789877910,1156780993720308425,3259803961817211051,1090120066153294596,775608119095478464,767658957817893582,947659954524166440,220155953528719175,317365548632090010,496289600479546135,1066728704539625408,402828156834041385,54289900174836489,904703197360394350,459652853440527840,546188787449731854,888037235574413025,415344227261768994,164203741621386167,354804413228938991,348085281190094982,2116543856133511770,171880881476692328,1718564503493573520,35396722332739080,221198062166138250,123839852125633695,687901343570273150,90252967753427371,182481935464741536,83431410287125989,278065136581518550,422020222120672116,2383284988770295728,831632832458104061,1659140924043944580,644124601053740470,1573906435320349347,544537185183112125,1166785270834992920,1362460473608656275,2119119754145996430,216250258468270635,171550561912576595,1960298532689314800,312945810191294065,1237760941765371615,745699482856750872,697730708875111236,2783790417119038696,249411500527892376,1374727289587485785,1789611011345555874,421580309915450265,746787537922559866,1275806768955668776,201841406731596435,2802478350490764138,508209499109882596,3337729262584301952,1332183048532656468,2759140310529564680,261722624041743858,3364524762974586540,327756907998651536,2643441558401090619,3419240392004412420,2730027832576300928,326724297954918465,2046607137907502283,721075317551668225,328892704074471630,1100738594793944967,2366243961506643474,449298361407044052,646268441464282126,1765265672253742995,1970546518625788875,447472967868415652,535661012350849808,126211235086620678,2880382629722194170,2014407925567668729,1960188802416092592,873663915882312777,1447642001739238192,438451822079268480,473541150246113285,2012736167667624216,2743101451609114785,384254217660479348,890127200405247680,2370502766276087994,259644660052883886,32982027023046868,1483978578065757540,375692866187399315,362380821419231854,459531617176141272,530042545222497285,281120321068324728,2229536469556006440,242837836206534808,2468785075071897240,237518992401482418,1359579923967618864,79469562724313760,618007927676153280,249037985519001238,1422870005539278160,675908901465414336,838658640213263130,765274057122785694,65254670869267692,489339767045025990,1084281563171272887,457965117144766380,1045914642346445430,255208211991258490,437145505469758935,85376753630273868,1707289732163895600,1852101575457281388,766172803553249094,44702207644255905,357566255494200360,439286876118892890,524786865579874584,467044008926366454,2010164943260108295,365899498662004395,750238965060659520,1868303802261392520,359561434504479896,657222727972370328,322866398685465420,2311010647532577330,218976160771050348,125601654740856557,1237311831361808712,1974194348221803582,677611181932479970,77156916829339670,1234332860072822880,557013730135571942,2053262067788070944,231374185003859580,1542272299146943120,129499219557163946,678931930169447481,157623050431464445,2817819546093340335,1104533376366233286,471678332268177954,1548341942536977705,1209131600185181688,1495167775563533190,777107586752473710,500320298404422765,1435731586633265256,2002520541057398274,2367032063749858710,970530585049183302,3209308659307683099,1835358566113594314,717016074447917424,224078378855879240,842764865750711730,722938007360955305,930157514336348405,1265422909938780894,513827504377572480,25293391761191319,758692095416555130,100408023800283438,1003935102049115820,1105656855984228840,742147323017969814,1130409596415790065,1653242379145080984,1438421497322756868,1938618366495923920,1964829838943417130,1023107922231235557,58115155320621106,648636768811768452,2188885951624465290,1783914654355448244,83351918693098398,2083496291015438950,1595771455763078348,665850329874966735,1014080398156801880,24293932643077322,607260339664898550,2644183811188952382,50739044382174180,760975382947809420,82485963341462646,137456680483630410,601851543897595995,735303229856188720,2996639687900270376,3639561751294805781,1417803287255767615,658037155786795576,2563818449501740095,1607334207458897770,2624412830627458611,3286947202996998816,1406195418839756748,881586216032651950,656797817500942824,518617048580984170,1013908347874756370,2514125966328491424,764546039485509720,138904036757628474,46037544322200207,130381402004449731,35507983655197286,1242598861711385850,757522864878158624,1244032451959442870,1619906503965264900,2105701784588668329,185476870886063870,661654938075050052,787343164459235678,292127157249974614,7572187650605181,302843449349635400,1022812444242342279,485250088576199436,1178077586440161861,1100634676797358422,1366788830987553360,90407813070727024,253927940397488049,1813506942238462350,301871349455930444,328979688821362305,1593166265863222896,812593958367448810,2652628456405102637,102897919682512014,99200898698737305,969347795307013776,1850330090061716655,379862951567533486,379981174381634922,654895183410876915,758883625006485265,2035047025593184512,55059239959144362,1086742577859895064,800825974280244955,944320811328263628,1721034240079485163,1544499535278893700,1051068682298428056,212174812511792595,585800455759446026,263489463441934731,878169982211903670,113417320067070204,567003788458715700,701886906440764236,989285185660995580,1937944406328879528,666200217532095122,188104339918212210,626922841125533220,21533236818887585,861203578702933400,683156420543071320,108086827438449840,1350887797977703800,1108544538323976210,1054718200276031585,1068186944006469236,1531944010392133440,1575014718305391912,733909640746921410,1144282614052758255,1791619917060826840,1226549992630336675,707132541811078194,1108157254362855204,1177217155677430848,2803747341462549228,682102035478510455,211177328457407175,347220288645324045,752800650194882313,94558649023517248,354542976071542800,2501628959532090262,830011291613126748,1471200394635312210,174971294812418133,685052611505509820,585594318613681638,1671577158993396109,2632624726767534840,2043831299736631605,2296677750115212870,123494788663285957,2942968050665448,22069021419273660,257434129934827300,367709063661615000,2320516514665820304,166480204950685653,120849145452294588,1611085327026563360,1108883254958145060,2858458591031963808,3081194989401924344,1383372857033907237,913888745090661627,171077767316984885,476292045239472294,2158051357619282616,702495239525819256,1156424524306593780,161802719938383615,1438034913520303280,781215428799057640,2652839384675980728,172272335317322570,2411457889476628300,1314330909703057152,8527210025139084,198938953427694760,2273253416070345600,382490177865011830,821364794450775222,1257952958161290999,1012400607316323066,97890898346301724,479445704409919230,2337263996534795598,421357378374487106,60007240397333115,1144502649383163378,1623182208359672820,2252046324948925662,285534454116427212,66828272135751717,2074017297176171304,833453601009487080,1462051460615749371,3184068671051086248,2410248217128668744,1063662739419925337,2642248425149584785,227485135357595523,1049166498323936271,2066309979809855274,1015661140076550020,267494108830488240,525687155752068282,2741779414233322936,648054421420634824,791626748242505838,857523843921065835,15837948588887346,105570725177119560,263887817365052900,1537034141527987024,580687573189753440,298601065395672306,360196582040453948,85387366187780664,233381677725922356,1166735837797134300,891206457264079668,1531712811274097320,1142483004566633592,29584015077002955,177477827859367050,738006666319988972,1518792355178726166,134966776465854665,386998174283342307,347575151076894075,865034899600046139,146109435426654436,2556536464153825230,1198439997348405132,2352380948003090865,653014698829837164,826543073166038202,2853449280024884838,652968994439805042,45231559585344570,150749516804723740,867454335441194823,443039211895296051,517638688957970658,50884233566141760,720773019299420661,436089613806148168,1213840382875989000,1801315169121348654,814183581222634675,12264201928384164,306559543449927900,207650088567333877,347224932512022915,544226013050278830,193027493200545552,464158676986230582,663468877479668482,613728128259005072,1086268228382593215,762366303079134308,1341895790437365944,174045804523463574,1402802523283305864,1211567097859204230,1189782414109576521,649061240284703706,1635940938292971624,1798022820178317348,1326178844782246280,120889830078829986,2417436935762077080,1563555320202003332,542549249053509994,1440076682852409900,155291687768509893,454510560521286028,2626871764593465792,105177481298374288,366165649539789615,65023827273875043,650141432932911570,1093392845916370506,12479264055754317,83182699181722300,87208460710662921,871954652626308090,320805046820823939,2494778460967214730,676432109552506680,313830495995976608,3238388283796634259,2243359119460844916,672979495336960122,315760720576109660,2025547047520146306,614206734920022584,1963631061983980326,102670161123691428,996501645592014645,1510376905899952580,1016407678351183545,123924981877646550,1032553988897528750,374798635050623175,399466034121080919,874725869261795257,129624611544979983,120025532608887932,300018997849569050,559514520013985163,1544676144734616828,1307602691610372176,219326867519134656,1370587987644886000,1656110086865512990,895318427406857364,191708314263535854,1866925614317731152,603247655908302870,1654031430767068008,305389647128267125,1676140284901693896,267930537544421385,545205249638230560,319676661159347538,263568898273944674,460146397234530004,1778019874751144070,315343389130678270,1497641779889451116,1240854925675091427,884054635292045905,331608273937451124,503934864842346480,318907378938468346,3146462911584815848,660118099105397946,393662898126992296,734838835329472440,236461673481476592,1092336603762276045,40846048971811473,8489234289000603,594157249149243850,441798553573770834,273250854005481441,222718922994753288,1885244542230288396,344752311464849385,1757595780406737278,1025043199117509258,2720205416371695792,1847386839894714396,112186097926421350,1131592453346158461,19797017824735978,1187642597317682280,1915329349999015860,1197652060873111225,12817233145803904,96114798250413120,160167247315467200,39539250029733912,592999564847977800,780596339379538449,841651768881452608,668758464661821030,1588041938360424580,1548603318487274340,858925697383440531,225116419596772287,2464729458387213689,1678121294314483770,685316002802291760,484270496514280048,116902902870444117,667915981904186440,234879579594186576,1925313019562337525,270822741597334887,2254210729417755444,274699552967396592,1569475160061080960,346030401901521545,1403237020471402470,148363175769931614,1483408054630407540,443505345164365890,92572439244315010,657000471556004130,245410857348520662,35951566599219201,1078384259239345170,201574018063792755,1119686644514195850,1276852593192890425,866406567892719360,876592967834825352,813323450109567645,995125023377844444,145114261284243056,261802497123492941,1438481387167791768,97917184048933150,587414332518234540,373215311935432308,667682447701390932,424480989342906710,227698257927264840,1212854351269760941,447143513069802354,1211712497774280204,1552904591528157786,855405617853565920,1441922537667183705,118509774552823428,592459211918416140,2357411070948149592,2221319439471402870,1007813657939196409,1015227749255654604,333252661952807264,513267045034180152,260807807689092840,770771438184100209,996131112044320360,35147905081930410,1054277394305912700,889160923854718600,1195566568964215272,19118981269714265,1146964990623213900,1999470618492898032,528832409626221720,739650016471933008,814466902808320884,1395213175593555688,2002496945578168104,1102276106463241440,781348110873275916,1918873582401860496,309127266400664718,1030267824322421340,282820873077605840,142349018930674362,2543169011170870376,232237128486737328,1161009294202586160,1324364538527944065,2326298894912633912,1380042389078477361,1059002620681330563,2680251060608826418,288984437111879895,273970165240329562,951066578128234105,2965596171653429802,1203339272455206112,2275377942178655405,640880209092688884,1975978841609692038,510341944632914023,3026018325712142907,881644367343581560,240749337882966855,466686749518441488,1007809384708705736,658336051565764232,228373807070873160,3044520447018425280,1099401013552188852,13874244903524445,27744263151789910,554800732760747000,177158402224432506,295219012996936190,208521845726510289,1131818209371362025,574542038577900155,297847109898363488,2233512739432689840,988230571926960515,92548559799126675,1665619997932842750,1139057166788530048,107752460008332389,1179111577092774816,1669672226530790008,523652330874380500,1084759321184484792,365170349938959002,523204958214816796,540055531314280236,1063877682050167290,113581853345317988,1703467576545787980,103819803907126509,513540963389067232,1790910116939141040,857160119268715935,123575782587352019,193145155821278613,506765409936441726,575344027722064140,2139920001008368632,491171081427079407,1244518470592917976,2311782181663829454,3083206997190302505,2447315524754331152,659330679049921038,177756495213367846,1746682594399169536,2111583207332272275,56867254513128136,243679491284298960,132556129699729176,331339575262089660,395672755918715680,188709135603183630,2830203395766503550,61136283579592392,916903733843907720,1993766289736638210,1471716999438913878,314620940974151190,17245973686101558,862166474056487100,844639927994066100,1072949868230276896,524951853877974633,390292013460845556,50564493679979010,758351031032742750,525024871784356848,535625116958394154,1739326564760765560,2232782294477297904,1589221341461112415,1975924143572136210,1317000580965706182,1974598340448427488,1681983632370475656,1902117963119596920,67058399313455024,1413545766192443835,901372825246277832,351237617659988316,46997901207794790,1409720289076952820,97317406873787208,729768321318694860,540293502844929690,305830533627741410,1735929798522513855,3365257998061686654,254552457132171863,891167013761566112,1755529386880378950,1518075394684366847,1871635985209296200,91365988328645460,1644334574688002520,2239672997499619360,834125016380496309,614008238526991136,2626551494196507017,546973589273655774,29634393657138435,296298270359872110,2068379959155144792,1874164350613765084,1799917359564211490,497373529802356380,510651518067561894,631877391362273952,17874038682223494,714851266320944240,487253843685484440,971297258414534064,56872204996274301,366012924000782954,2587580568665571618,880421052196376175,218773174661311822,2344006440937123335,1752407545143745152,1339997907268745826,1227714855025558500,372750885556625431,522205816684589726,2403434137744872096,1236063166452521444,72593105315210830,311065221419976420,1602805698931788684,1812591333559844310,1462861583404768863,520111545270584820,195209804697344412,827613632012970696,146524801342541575,311886227651488669,219142921068945450,161875808909477589,1397723184350795673,64893928094606952,1297677639967616160,85759755247904020,268621829989479378,382386630575619042,614476147612362055,77410847225645979,58860643812190740,130781164399499120,270199162249703097,117261929184710793,1339928618037656880,986602303182460440,1036442886339964636,581713697491743704,676130462488929087,674945106352819550,2782474027735867110,106381523290865136,2393212917973175640,3249035193231585558,326900619262117074,720432060547214190,2371342301738861994,2705063979707153616,2236990120230612292,403332956321465952,1376394503242417155,160775545218230265,306837050771203974,40659346757872782,406530293932546380,485741538372493235,1246518230311091052,353122543972350876,619157412670420521,460598282337410685,36614671502345850,219653866318197060,350242980902888907,594137017299401127,278345622933477623,669068471033909010,2110621793810371176,417118111504238965,355868003043549420,2641745644518048664,1003547532348415960,1103743149991000890,1805988627934164630,1365302563433552476,1455374227870908216,1875705453525055005,178835367097568435,1586080693241975988,3220377164486706798,150319103949436497,1803473897702943825,1441070574412067496,1392581273259717590,965574019748701272,260918224162749236,1902156127488389535,433254272293126968,1450303237998160623,360319116920241672,841304917852195356,784423292397782595,2669831894025743584,296433959083359456,2431992185463927592,389634808119582,6492899427139500,103870166716875200,778904573598636000,1271309892518845608,281530725897075848,648299110725781410,1024626121161429270,303377326866289190,2270888887740804726,2221516555360735842,577024170330024290,920758756927688204,79872378587813016,1863397349798269040,33380347490711124,584064695718733950,152835406625719852,31730763163145270,507612757997577120,511359122860094206,1421643288720990400,770047681653729324,64043342641114450,320166569276152250,173638961192300484,222592086772620620,3005654451389670915,2503920830742833328,518910205452689980,844107502640011878,333310852367044770,154189938525135222,148958097944275640,2680825380184908720,2333042845758349487,2170600355738294830,314141720534811216,149453222797925770,1793157313718679240,1381057880397383124,273352589396328975,507558404288413749,1092598716915620388,1245811822155983712,95996388566909144,616261735629913230,1177385507781857325,1213826905985776726,225691694171927088,3345890144164339365,1949822263319017470,937863290563434216,250798813549642566,247259117045175162,282963967326076584,330694667318987855,588136256139378308,914458723694255457,217830851676592476,362994315207671140,1213001200627579725,1008768119674759008,1410058614539047264,2062194959655795744,2567287157169127344,1203047467259742840,749996956149234930,244234632390484742,560865811835616126,549236079737074188,1638172130805238100,1894013325908379648,608986821998323032,20073205202022288,501751050796882800,2272533058581426990,2179783614642888784,291562349521189077,884944118497816896,3024847661867137575,718835057673752580,1962200773649899053,2743644328269676785,435945261210947154,984775997917089477,1377463670565465040,561533669308864856,1635480587001861885,1092946329434606584,548956331023423855,1743369162129952800,811477635650493889,214963950691344606,1432866642831209640,1916416432716922143,1031319928634346900,2329774980133835556,334773829399427456,354732046279843576,723020446260832188,1868998849038316020,740684756300040024,789669730653790287,6629141807103211,132561865605285380,2312469530193968040,1100091526186340604,1080805760112515192,1612716357498256227,441418733787473176,1285740688763955775,331327492041802128,326894087214725896,1981278556436136552,654458588867853963,947728253854164375,1222400284497509978,2288369323031820192,2439719548794502416,333095923172453020,1759961865206450430,2591227310497827848,1286958499846608630,2366116697291958954,80772198260607711,1884385746171078150,677751882357863688,409455943465642176,1952328855945334118,366010961579186022,1023270779502329610,245504071334438188,483224698843686534,1654126600392793908,1399589917224067728,1212480654849587160,112413618319960408,1123957646464636720,622725654683921787,1737898066122885800,2198962474023344925,337448494842214908,402269460565915776,616093241616416060,109241947387733724,1398720902416105640,263228117671404602,134838160722088596,2696334321488321520,274156483111591113,1827419135828249700,622280651124467872,323890734857840226,1079463970163591820,2087012495538599096,13502594579678735,1215040047820671690,2142954087229567899,630351716721093008,93802344162970932,394158117710034820,831489577427649175,307258250850202764,220658146458481632,2206229825762460480,999782012643385410,557591318408962986,75770259552699435,420878771165528250,305670807681501618,1953875863482302270,405132312269804922,1061343428760682050,2030707968408316806,313547204970422481,357741184796696580,2795452138993953888,451213836563835288,79389390899430084,1852123364456512840,304717562808852675,1681252827635625741,186806970708586692,90267175090042620,1353791309996948700,381783685265704170,442178185762030104,735317256992908468,3267133041633039522,2491062831823865736,164304797750877790,168508078278505592,632309689571553324,1855733595583608755,143753226628474542,2452223243687564235,564432348017454501,280432112719365705,64792893365610954,2267388286401362110,2648668460126201460,1833170170914133755,3190175125070553297,1399873706101226598,1133369473227062652,1246918664001358520,788914210106884518,282355947398218308,617701705575356822,739722006344230470,56447581257133920,282192662160968160,1852447818890140146,1994221452593411325,85130317796980736,972761875281510400,457873068074678556,303706745900188967,467730240133791579,1505795809297926165,533553967881596130,199456633388327882,854676921431123820,1690060142801211534,249937775069470321,2097046368315476760,63239267186181864,531684898473833774,373076061326812356,1798906414183372764,1336828244108619000,1853226511884296658,1368228252895650990,500646819819910752,511020145121265030,289920478533916810,2023838222470476546,319123674237109452,594706426019078616,2654426528489097387,46840744261593780,936664137556993360,887332068963654252,49862699119345104,498546724007873760,1799979434443188180,173002850652859935,1074653681494699272,648559791474694595,402897507899040258,566061958339501275,368325686051688990,2239197586026713343,894252963839287716,61483928716080224,1499634819098826930,621070133290363296,1311678613548289112,50401403818614795,278733910782782026,1199695145924227460,499011270528972924,411089996976390216,2690081906657934906,520262730307540668,132178804890098490,734208153294648300,94381019047729824,943657794700667840,437241422460134795,146503532240156160,46788302103353660,467807434047415400,1455848213216160078,1044110068660670300,580296192989239215,1686617803328406498,266022116875335809,809545291390725813,396816678891522234,893768673718198965,145133746845698508,362337590435218347,2480762955450554131,275507481375470287,640099729598691555,2228987495548365475,2243140724494755408,1844103669401133273,377559632998976564,436517537239892120,42869883124997166,183698313157847460,748983033317560911,642306009571591296,934228184490176520,428917779832374768,1662892362220035225,323905393163710465,1141962626258039172,638697972786179370,2369525826037771152,195346238035708428,1445341464686142135,356763497467689781,1241164379675481580,207974898507602394,270684684743628695,873004874932978245,1196858272614028248,891954377848444860,2143027561959995248,740933256562199595,252373316786742046,3244272762136080780,352680312207655695,550553509431905174,1345270834212373974,676401594231714408,117412929746230744,2054392281689076700,46980177790204944,217720944089289854,54080807340904659,120160027037806980,1440081161044345830,2123671971047538312,1566579025051053456,310681586949223610,111338327079155822,288139038074113185,1600511865272566450,1273107676765517584,1802967393966052896,492676737411966176,1058291758715978255,428548703032068732,2833172432858483816,2713968175335522237,1088702114381483472,2531060139124612935,2055047916261193567,231082283195801784,1307870783844524682,43965371570536496,219791010565210800,122426171721745374,194488613501217548,126802323133614747,189972556812360549,826419130795719400,2516218401798639168,1631499031474699536,410787556230672158,2069293500532089000,221063301858102105,19015492055543316,380247727634675280,642957443000645610,2832243915772983008,1871988410758176270,2006782298626441872,1784761131831901710,3085134222864173787,806991181450606668,901722695456627900,521143839962782140,1953987760456396404,97812661129176819,2281922095304266590,147602232659023180,21906503367748426,766602150141586290,192080886874831179,853553095596754760,689490452004998550,1593173771730147649,648734504640949460,449021522226438042,896397894819705132,842714793753644430,306745537173335031,624514405969762758,1474640200457674975,545716078487530524,390067471957046220,657801832850363900,216015424622151138,53466102845053686,1247337800660491260,2124611516548586520,1974312412773005922,474728779410201258,77677581389287104,253432766365435064,2215131111151002840,2454870102903202329,1855194764115215272,180147042326146352,135887692055710665,1358653743645157750,956629732560281190,1016481587707859148,538768692617982496,1406875270222433697,1147425383174986875,952901599373327208,657484854230137872,440277782400197016,66423479327301598,1850500933362792930,715377288422258082,1754538266415415894,104029586681101194,1386832934313644880,1557954754504119600,817604244788010072,2140237162197451431,1231026224926569060,1983320691423641388,108876093322249845,187085750595942792,2104368031423172790,1873003364803087758,918968001472206735,1568495858722034830,893613071465256624,263444567556645005,516438938704112781,2725103857532317218,1719734728159122660,552393603321417820,1587449589160025805,2036797704702803196,821424381826079628,281988454859520225,340101257110459581,1066414078662180315,8047839915841212,80465114262334680,676265262771666470,2065133015156461488,520633831928875945,3001836281413097376,302672381120253474,787701940737219760,831771100469707518,1189176901814342436,1156439906959659248,189580165852939392,1579573549725456000,1328524312456589536,990373728450182671,14449179486318384,72233948048385680,1624994979171273000,321225163008762120,194015213334513548,528219860209951908,785393728405205157,148043830781595385,277131544807823768,1360179868477518108,1358337257715145158,889237147966051608,359202389676971100,53658327188204184,402370777536020820,1988400706241882877,154128073216278098,220146467139686900,705902537035600464,1246429370392074778,80734726790482500,1009016727925218750,1032592264356331100,708540641380634166,250649967575933442,395673665418905022,219656763209504405,518960124456592680,808350631368098930,210426630444335288,2773607397072045720,1823819699190071202,1142913914679268950,533518083752084514,66147845456583465,1322737113043224300,97637040068245098,1644832012653000060,1988674094816989307,165731670929593230,1988449417183697160,468956889433551081,959745199769837820,1769134364766322128,636738066390640695,149591050585260096,934788508858224400,351026929557328575,356147526646387107,271913196824417582,2159572755803416177,1131381864306008136,213643084865511520,1068037528644150560,1974122707527007281,186390358678352664,1623604093497892142,219838522207879230,495796350873082390,291924172421865214,606042325297238580,977864888719689534,693588378273093210,857860267750799592,190128320271299848,377518966976269221,210155907721774839,5496719295738680,384706145434313360,600959302967910501,2315800027687283145,517265843995820244,1229835236881661325,50131412790083553,501230408796392970,1376063447254344840,1241366180721349884,2192936743974675230,1029267425789139492,1172175918085219972,850368074378494716,115826226908949960,231613726911533200,451264225432523996,664701735321932808,1611182970499953648,1238040787511449005,155309778057200340,160590957834463292,160220138944843431,1674292407918594813,723470430543666570,324191682694852530,459209633053106724,209389777780968382,38112862350213410,152425915563408360,200779914448308330,2251723907305912081,536512398168823578,1594492333398429312,512515207282680550,525682918661314140,544844013260440938,587705049353985338,968743656806725476,1809977639762102336,360719263215005660,550458672998594760,341118815719764997,2606290407167657337,608053830948545670,1231370566044736005,77322132387078315,2061577352375547600,1208876823443871672,500461474984494088,847291735361977860,159925586535398992,320937749937551622,754429529260540188,1085369637537326015,1161558343219921290,1924945960407088584,327696456580836719,816202457523974965,1989844765804514736,66345123325992235,1270424055388154252,386680104853757118,2389928866108801896,1779481881408663472,905832474421275180,1149258095979400008,2165259895319752389,666960168931350984,680471584819451631,196595201758000080,2158743814505039655,2293455339744234344,1193433359663473271,974120496116607846,995716990028662965,128302451511277026,165598950810130194,1106919044069136992,37339618517091616,233333261139891000,1098153471529348857,186426782016697851,425042121736678635,155929633616445288,181680059307918820,549216597321765165,327908014225746655,1246165460671183068,71740241448400188,537960954984382350,291808694948242460,332283630173331552,285643763576137748,52716184258327592,1317681914276913000,687073367048153073,684033454353737796,872913239786455368,362294731235917194,177044542701030815,318615049521372330,750338587483004468,1431598050080081145,1522202772524742294,115149122131911530,243882840182798098,1710243842466950919,184938419136995695,134350585847568015,2831582420433661635,180654461268211251,2074477116367152536,968371023230811345,446289961201326050,175497305981675380,335898053905061160,541252442904639529,352974212167971456,592676614102318578,791178976946148375,241083957696309641,90629466631628634,1057164437409849930,1275168833047756008,194210906132708880,573950505880304652,469251109906819366,328403758145534457,1866884770277836083,165293950023193460,1888752954963656640,932657129079622386,309324924019491057,12857547350353878,192830444868213450,1499537515860596100,281755044414205866,256501856571096434,1409292853706980008,111183295523067750,644204919557960649,403242742857987408,651986884172669628,1720467599985248913,1863274713872723775,125855149618711140,1006669866990107680,1051834221238462072,1170799651484417076,807922206395316760,1267705442235194220,418729186629956412,178299896535708927,509341506116604780,328695470753959770,564657389212399204,406129341004385584,2344635146922992658,1731111626543978682,1483307257395919410,576257787941117904,161842751683207976,1035623643906664752,420686835932480622,584122016526155820,1237104808519377452,324162667132138737,61792932743262081,1853471586236985270,158388372073327410,226230473865360780,2035614174941974878,1356094899008280252,2022554776285144782,1909826917835173470,698550116211769104,585114324916016562,510673171142972750,180739271007242511,338855498657131125,226039684305134138,341620674579953973,122582992363270111,209836166191780969,333910084008233400,1975362297843551898,1475511320865333918,812010273183966861,1352813642457081816,1124100279866483650,437359387384033356,1103437603137534014,895101531211436832,1255660759436367708,129326109362596860,1234479728457870772,315651026596198881,565343543621275585,1055833153117417251,959652055091529990,1989634411989963696,247497943046004698,899174397037365084,445859813843178656,1432503683020421410,88626829204102872,1993761541531528380,766715433100283608,1615058372924293815,284293024113155280,1023321904581858728,227484421856615016,758873726647061706,1523988385147861074,545828202114196905,270805781417937750,49407126073598566,493986368143746660,129743495931738264,972908977123896300,1929547604493672453,751208368175838432,242786290902928881,293952160254587844,186931306346855580,1720999320281089818,536969327461324218,109348333864909745,511942676059742214,543677013962571780,530282812642239900,2226194827806554367,631592848565197452,943619224068595768,36548051334085940,548126339961869460,484661398535666348,522191305866162023,300137779978431744,159012317098285620,248662353054497452,1899046287651951048,54262023110647878,1627579988058169260,189849532520228040,1898167861933944240,445554713682935889,1162861521598306224,1025899052904421488,406084505070779895,130557269072488158,435115770551225340,558613619730462540,340194242715639867,130322058516678315,2397647182688688072,1286258049979393704,412521321482440726,170132634883593384,232811988234463305,968614027598203344,1992653413650509427,1257141296771975232,455333685339716790,1456139437373247060,179027331432252282,227392847740313984,2168917404326057776,82491533077245288,157530097452265510,1083484548628696404,1218876412232556666,152104556744930660,2737407945007377720,369403326276914655,616817970925598104,731183316726460528,224443015043260605,231413272552976026,946405097634047790,1225618936156799910,360941608163876007,817271764094881564,275682683348885088,126636170695129805,2412444111085276551,37819178748656412,1134378523919763960,227680603697443965,844831494261089640,1407095477840094696,701288103671765244,33497262343516977,893105227377048080,239305903473451130,1199760417123396174,13752481181938304,343752298337801600,187921533988449648,1174305480555550500,126890191298828255,761208804719606070,1289426189174392134,158715598857990548,520948861054286040,1700911680436763286,1277299434347758542,167254168073700345,15397144592525515,1385501862687347250,1927413764634655008,462035388014918106,645868881943412544,166027051624979898,34003925023723025,145705725512080350,1082842022854861479,223240551197880658,741755205433044354,1412379592195819815,985287079503240648,296879831732744858,971316753016441428,593110585063770864,2571595778895305920,1682927391416485389,274294388502065097,1521626004632095464,672229491383733813,1815891794940679260,282960779698774441,1510037888958686448,1423688833591493070,440249880362632557,1195786130833464420,82453561714496428,412195793610506060,164847395790553884,824048871315232530,2306316478634724640,2627396235761727336,2547617352067751624,657792954983259759,1945244670778352412,926145349674722150,1028873832195134475,246908715642428976,1152470487371264558,3851096095765625,61606754553750000,76994964937187500,896233031188998672,1068714265710147768,20548068399609382,1643557599513509600,492670749112083828,1473876872221074966,1615821885908269040,1922681909922533949,593744013216822450,606467180076650397,205199732007394128,1107898743359275962,615491756274277485,247237418355007140,167806316165376446,225731366975231250,289086655249370682,461436801546488589,1584980571857903290,2376523097909118384,40915081959386666,1431776454442400710,475658067538348308,687430752490669050,516592096655469056,2545381729566050376,1642201375183028891,216869388425574924,1073984015509655775,1289731223869869676,1856858273904577095,600961197723360912,121631802823264554,202684020620733150,194598214077226554,2895010606129958163,274721257580438083,397857676500698922,133937397650758240,1147832769864232320,1398808465762358925,739418119275816104,1079193144592770275,797975001100859520,36418663284917158,151274904881593508,414994958366578056,192463516614622933,2642755868402585175,6068049204912435,12133958994739530,363954589622757900,1411583693665670514,427904200298302710,61475047407885756,1155652338525303468,1416246660724336530,1362488840000224104,634149489662449860,1444176720106830642,513780032707782756,2156495917194242127,152224206357674457,1988066439448963830,2058414641961561744,2075384033937070493,38438559981252113,177834724810765659,2409260967683249895,77087104190956134,484002241656611496,941450713220446004,399725072442596805,1049434251555829020,200377188631794132,167813606681275446,704271669655715991,379506796426267705,330191949002212380,764366183332110774,300839729870770141,358985135148773452,497896003937382912,220195340524263385,1028738465759668912,303350549498852379,352299846277571559,1619616268298016472,649284707376330240,1311278793835341968,121286949093902250,1414763503592276250,395545000837997490,1150853723791604080,433066781575201536,897438145408800648,403935187255083256,158831945087289276,1327497248905954290,727705973734785728,1219308491075418990,653069351739198184,860191511771666178,1981102589712900780,1724251853910052768,1013870291440205995,543462824524160952,2341116848732549094,57876861732672420,192888576454722840,1262750041357506140,2283213892410344817,279258742014590961,1703190388688589520,1556475556053945904,92340731766077616,577026874203270100,1498716857076292792,525002843297864850,288646515288138924,1271954545469113736,1509496031377420590,729051100688637282,498784233388467430,723298338204214923,1110121430982547963,298990982805036698,95011020045116727,1534315322237825300,873747496484554085,1120497586982955720,1034140716015110262,924557450744517995,1455141693379603050,176438661193429471,475150439106190575,598461483980425956,512829744654972185,500633492230988120,1523858527729685865,1276101346237455544,2804998393197910962,229479404756697567,397035580161491480,1404670893966312184,305403220155249510,2202423783696953982,814198477784364564,112775590807315380,499643290317033477,127577419039531090,1905312428120429262,1760878429044111522,213259492181922780,852016901206359972,209710039762241332,1239823516234896754,514418689731380535,230643600811439050,1743508798698703131,167868165487817088,186486777676747520,2399208842375929035,872320946164668720,1185987195894249351,239102852020356588,395356737557410635,1367660406581503164,242360282100753020,944182720844031555,2631256068551960925,205646479798721732,780021802282278492,35936917607615580,80801276208343046,680696439607617096,1065693218996471120,1311657837085263588,1641918447477021780,187096045368424164,833462950412394735,459366083391774372,471058189354750487,108123861781516080,378146553843360717,305438138568064521,63291916081541391,314645183617127853,282959211202189495,284717004751776534,1816495926306267816,496698575882164449,395958832394340210,169250686880463720,966972735487871040,386157057304398098,122826281815332060,1473650022139345680,698771577197751855,852017173830898488,225159253238648082,1214604927190906587,1186605692227613640,214009292241070470,946317819962888232,1018168097297720313,185969157209783558,822822017407458105,1239427053605203740,1147485241158351606,54744137744588255,2074993342050653613,352070661697712884,246670846498449060,249948934933124541,2264991210119607352,597423250584068132,970010625909592659,599641356311946850,1500445955635096854,2291018930397540072,86547371327051115,1557571191174120330,149811712063543275,1168333649773372110,124330497551262499,295288264654589271,875896592929356776,588894284803839460,1462526556524464074,1557862709298978736,265529645838395110,215375289867044073,2081427064519880640,542664485770126328,432784536122563002,361832225169220336,464643582722938370,464321933734412940,1290180988612791354,1295629473131017960,491385823772815272,287275473570031224,176278079283929620,502850673758159772,2169150725143476473,2121029645256428584,265910501328055188,635527831451939280,537456707890650142,554143004154697896,254187917911205696,77550471594987672,129227325305944200,34711401621990492,32776250882937907,121367865143216583,943800840840964610,458139279190407600,288019149293270526,268817317964373865,670813747820199261,192561833459765355,641118800248809345,508214075523461376,877844721466491336,624660412039516044,2403389413187741016,909466864994571975,1507338469946453610,35379462480370448,44216279588765460,257554980799207306,241845243503549490,257916374309350104,82827346651716933,736108991851419760,293929307438555046,122093858522690095,1409996410160609195,15366405642714012,76818024755019260,142571111498171686,786334673767788540,1738133839657215462,1178603741305284796,1200720727817023077,588649558772905154,1079947702651444550,2569395402154823922,394707835146078387,126262729221180077,27477717792617124,1236271536993687300,500728914568977808,10858957444200924,325709217087590520,299720947150779318,938105503594424025,5274819969292588,210954235204878880,862550365189648308,2004897946780900976,239109891419111180,572369488660431486,409575394831684641,820901848782359091,1717525787606671518,2195118211873595480,2030632034678457072,438430855204077804,1583768808766240803,1838665819784930355,1060679906446202280,638762713319086185,2373250801530368088,900511105450482576,1288080527665791860,270669158082591120,1123250296167512664,99894499424446024,1123607077847871570,44810429878378584,192009479429415600,115385974276228716,1345922745781000380,366165320806082172,899978200694729109,1250110626315817770,2005141359456787572,57525538847083009,1060826572010172228,1379918230417454192,526303633937732775,615483949928317695,192943472942499572,355644450654369310,183909793415221212,2402323808188830480,1301773403757509442,22448423921788263,96189839880231270,90053582382761464,787823906332529850,395291289330002278,363642242168555556,2561841559559705229,258690664204286468,229248306221007680,2292061004518692480,254371534874637609,690416051400223452,698625547653471855,1135597066300679990,394050323309705675,1024800847205275224,1320662210433855400,324611876712665145,313238002365255030,120751861860923025,724377566069483850,1795439758971344493,495020331203241570,392938791021236790,309163029293120448,156746874737755674,1509168200002806276,959471397253889625,695332058886893350,1433526765221403648,215557387448504460,462251936376302874,945329052255510606,187429386366129375,269168192620372372,463318955045284032,1086631391077622868,772381623924241542,231936521807324680,2140453867185969381,2049720758054252541,1146136578332125581,360624486262418256,143711157074371455,1673029691751188336,1997324437083488016,125005625457254028,439397897022101212,178185360400333365,744893018281043865,238477916358633808,2384337348221602080,1994367484883431773,282509195907112740,840777273917967924,135995309342096949,1057545185625869570,2285883182558791296,609706322639345970,586541741545780794,177980405238854883,287194249507805587,236494654900013474,1588220383708695690,1000978535601773370,501497554372498566,1286541097058042595,1033662118689032610,2101882793567298570,1571398562149766808,393500067818527236,449195754680096740,1437730282858109730,509534780750710180,263486023770288010,443410168218618654,727676412531448941,594804006435908628,913912699433902380,909409427467414896,286833437624517793,248687941936560126,72363523848628146,723500527293194100,1393056404505537255,132539556978691029,274342800235212914,1074542262736787754,12617458616239225,756906458051165100,396035180834302872,271391704865490294,1258988023801854918,1638212639431974480,598882967107873670,1287735683576112665,1288527915666323574,1294480942766060352,120064138287582740,300104332900457010,266725740439483673,1660445280885905542,2215438234694992989,129970021299990760,106701650264709265,853453764863560680,28083615654607227,374378248364388840,129394324015552575,1811181976543273530,1291582520337285088,886861074295564155,304021025435481076,1384943894912090340,166268696305599825,2137340489541189750,763414080224858757,731638861205479524,41238728467869600,164924038210919040,1315388375784359244,665816649958298151,673249779972557680,1091667402944984160,1238130473352629216,178517429544975825,328144070127949182,978334631440219652,224530017274187120,280609908281213340,174233316489137126,2136120805104736032,2287357590303478656,1007883300623059520,104642319665819224,885383623004766588,303202319240073027,844175320364975432,751140776326449075,2070848161270050974,1222197448732793365,32513661237058266,213339491678412747,1184996741262907750,260742722594211171,1381287268992276002,166028450001536102,463595822116349985,279100108593818925,781316688596975864,368536736260575555,135211473471593604,1189120343317274336,1981887717858668340,996066803064820696,211539836510020290,489685294536287268,43788538513180684,1532310271406219900,685918112533292808,2052251261520352192,649857989829757024,492571254614540220,213258795611175790,26831653414505958,89421986018023140,882076310910505602,540049154414081204,1276947493148490,12767066485009940,127646581236932600,38652290180521614,607434962507516311,536732977665788520,286674870214819824,1024035468380638698,209166874426247815,2064503366821822836,2292528213444032955,1372957663959780966,145572742185348225,582180940651858900,1310291546568222162,90045709390182735,26414866448785512,231086380877634870,187074198085041162,25811895332244706,258070127381217100,190514126947548384,451382937407915688,1593135429361347462,2131045740620775792,2478713434877375460,67736627582428067,724423360777531236,1248773384238107724,1165333086302222952,1831577162008215960,808028036459143804,1618000162407030304,1348506471150104994,644962382639935164,122494062129780125,66498733544936004,242356499260050259,435655220288529213,372548498102872866,459337938741069480,170253341336693666,1931230458730609875,315594444781955695,72486649755061112,65008038912949905,166071298605129228,2049779229432409336,552724498455426918,237127608694414792,1478161633435730275,565206418745037714,1069914126492800141,130904697109790145,1254760408835905617,1033730661432412350,859969091752133454,391817627963502786,178981091589127512,80597694597540624,201455885683848600,588642759689809695,1151486286207790524,1266636595519336158,110018637987595023,140863303740617710,223681267670111232,1379099852856505446,902623184918252996,1288818480731995647,390884750998750080,297864753455332630,31610617276341552,355551621981783660,99262549162098443,210894023750547630,1339592410575166792,785679627938787580,954306839238719460,271249954252071716,1046801296586140320,267712761882664785,76810812516571492,1727913165044046570,1188835481018869584,61592844726940950,513175618436904750,847178792367211926,695926489279831374,1275987429784551955,192950571791965890,1445155019882641782,527597199785000820,1261341882867331422,445713534168008224,166395230242137585,382480013568523350,145499631181405412,2218029236196047904,862531292585763549,494445823271284230,1785574636102413611,788830944440749464,1864748581508078118,53403607553463884,266966858707250700,476753625263017296,956641233853868920,142537588549094466,1628688587925166560,1639990778113488780,360372169873896588,20026402140515301,1401579122931444870,964341364280497272,315631528299951700,88876897446938852,151003781524116357,43552593703682305,853557385401362838,2248351076940045930,1071891365311282628,131820789420466190,511436933107737588,578726116774963784,550315930058604240,115954264570651047,2248985181986666328,1059648294932475138,50117282373346740,901937498049682200,622195557313906245,223047206718486894,1109912277166674618,1112341596322560975,532561222801161360,162244854141845692,1133648503925294270,1332420946364190294,1231143571685543817,51486817100495040,257384464249302720,59561669812011134,94711783002483152,236733795961464120,66260528116168880,993716192042249520,989212050269844675,1372451438687045712,1479125882656942986,399700972577201670,832771332266763760,1668768114654806120,93352100667035898,701831425604261892,65719753919326620,219023520908406840,443549583014738982,93101822189772700,232709563922625750,1743124982717329410,2585500758050051043,766081615536279279,1819690977495069008,718870589287175733,213064107663277170,516004599068639304,639182693318905040,582087812899769940,19798259539728096,74229097030212600,989529617304244800,910460045852264496,265678338991273780,167783295011706072,517381655357622220,533208594406785368,112508315455132986,1090278438992611748,584536570248603985,88600128729177330,196850983614068040,230299450169544282,1412640883489519755,1095011642887894935,1306494401136929480,1485876024848543400,604209029531525460,458817779924102412,1763630379096894984,1438319852611570680,251025595352782272,345027920106880878,815124985976867268,58678703283276364,586672958519297400,44279811116145930,442712001659315700,767822515869026676,561255489181455204,1109815332747430640,1396300347598947552,167387772971033784,743800846923509440,1029817962198019824,267275708826077440,914794793676409260,499155703627680810,801506015637819066,549292661915289366,715591217406315810,316093294661210138,1123149086155837560,2268678589400783682,1740296588139800352,962728352126671110,1324738099710927000,1303429325995046010,475936056935469117,741719316227903625,365037277197942200,1181318314713927761,1251549483655832025,1019630050370004930,223248019362274328,558011027485538700,410010990326408654,199384735735799695,669819534618609882,1020604624779606276,1277354327906264950,2072928692760025632,9179373456379033,275327343017679990,114846563718867498,5571977699780520,63667284302513280,159137059772404800,222541627485268574,219915485702202381,194051742221718885,1555282260664847176,435018537000849178,684687195927670716,280595296813622075,1382943749053658970,64367991425996616,321776868488490920,357806110957391370,660754167771513672,974311430429689860,778835996974667500,697363626129921216,77733009592612752,102991981314472303,865477264352785575,88533150364638440,177031535570411920,404125613741016174,59182664212021914,328727992761475500,86917931751198426,13563322837941761,813639434899452060,431307766805629824,483758597176803705,937951651213777125,1330600553930824416,2149763372357503545,110106776967797434,2220756504698961585,1518950090397118992,572356135140148566,1402000632515061054,22262715122303762,779041598478260950,1038421284993402636,330927853463032887,333492703315874948,2386579471011742104,281917524722065635,698303308782063752,185608086626998359,1649524368485532080,74086981190525831,519011154397597680,161231745695446428,1343332800898954100,797444172416577798,777068918395104728,963234465017232920,278836674883591848,780107424322450884,245678684242985365,415808410584820986,764243092960427480,421530519201992116,816213911967236964,174617810416003137,94750823018888376,1420981352553857400,491203054841881095,889911571857783140,1221860278992681495,361731123187529428,447419285340506120,2432459295687413061,317080735413464266,1033360025501536890,107302443637798992,1341014935381319000,1258699795013348703,806648645723848074,1328939096111329617,195364602079567455,173448406409105520,41389636348124478,1448350076257370370,661980098267973723,298879110693729237,902171599854861390,94093728072704955,286145888893860393,867435880502228088,1434279196508603814,959115493819851830,1218147313926188760,183731152387454376,1185778513075130416,299751991440992980,186546623662079460,1596398058537005322,430202599746731010,100263506247929466,1503653605249457610,1325401728467453875,727288283226562002,704817919222912464,267133671019253787,604226571117588558,1315952208438340520,1445855130021630330,819533461586751930,706987170155727885,893412244983443472,2200249851862682520,1128661796113931985,68683756428333730,961380990257839620,756018296075490516,1111049552320184960,1277760462742895835,67992178208081926,418853016372565509,344159293306878504,409510779770123820,1103427234197615574,319354445164688784,1185390795161502930,68816494649112924,172006888874999850,126193697488284534,987051440201493289,98396191517792040,122970667497265950,895310535609820160,3181407464024184,31807715719366960,1272054281051190400,1745393519504617785,1850047446268049560,785579989547020722,772216416663481752,513027527583905764,437321266021141336,1606281831350077230,1005875928387742842,30582219529230816,267540838036862040,828154880548302104,1794040069532191785,217613626956199605,940212996797251422,1398377756324044840,543648978909555036,1979502582954303090,754510405518798603,11100222096962253,110979957386001230,1377174885830074795,1259366602102279725,117641990118922199,168026256066765830,90860902428774534,648876146676721900,186641156435429220,1800859938561258822,286729627438300295,18253405148087424,729989497500963840,800021320986585150,638492759382649335,1119753072069425154,809123498155672128,737340840939389139,264792846086935560,921016156567393242,1046504742650254055,658603664332893810,799967705115775647,1218952771439832415,400437765036319740,247184759775801234,1803743787378676052,172756675656441534,304350706828068435,123115017693773766,62478888568838304,430813608320408964,1155900915525772542,1616157809987496750,826738711937580428,930844686841344933,674708942832464574,238848050745154584,731756791988072430,461640829239345768,351075584936902896,1578934971711342259,243131797206748170,841614593284007020,521007709027535133,412197534470703360,819117670653917742,2249910212928280263,180412087122622305,200417348336446870,76165278981983699,632599303895606592,181414517821433081,812747248846951900,1745940602256621015,53565959744301459,1428136474171119440,1214251464448027242,2242706203385770680,35109487147859854,702047522248312920,955863369735928218,475488239624049718,1617976239226431210,749163910132657790,250681086009116010,310454217981847356,359658725877302670,1213683978651047040,1161814595831933160,564770209223276245,2065962490919151552,573024111060344535,148348953557996610,1322161679785747998,67882551672244356,452458440390534640,212643944034513672,724691604498094845,1545203898508047096,891986333849158744,100853665540442190,604998981474205860,812058309531963080,388855861522663758,239333050724293192,102948743828897628,514638992226927060,113358013161317295,121631192142383946,1057671733750608936,917838792487065192,988677004934571516,38341992738022920,511122436395053760,186074643098051788,111747098341787181,52433831580880644,786347159819597100,166814302800294567,161320453044465360,150122694356868171,455656582672029966,98433845369053090,1336282038995346152,36140454620229612,534446946633862182,295843747915832396,195168087812875260,46655390480347871,1555396993565790936,360001196038431351,767980509752450118,961184070163322850,38586376148080182,1543139542791311120,79877572370800647,266204129367740910,868765916602943780,1895130951461592957,2371235590457628417,191361619021790403,81921474449681406,273015686646728700,25554013624303245,85162604079401850,342146709278650899,871964556301424744,39173799629587490,279755521745240100,140403522587937872,1228279015583455780,517812476741777352,1689921757509996160,651188899191781593,15065191865573118,351449032722733820,462865464249890586,600088423740252360,1034577490339428385,377476932939748155,883745516158621890,1164700997913127184,313713154375515225,705175526739136797,1325662166009717102,9512479104072417,158508734717911050,282171405169334130,1201924474201658658,342318866108845707,247196684686982152,470766284961806556,735469447522377330,74229452229983991,742141757500249290,143934278143135329,1471804539995993301,649688320183731555,32023320321890682,213444828655020120,778190613283232253,342222417993245454,577261449012989880,464387675771263167,1621894014887487960,722367239515123245,900792720913164525,1553853221204738520,545439272490208989,411071589649837704,590728688513642136,667773729748960875,783371437821902010,1749285953156015433,578402864088089211,846366335506673312,2275143351555271671,904613472274917560,404010346671371594,162962041719876456,417682191871172751,466162268278321755,1249341667560824025,347286572506501748,515371712006144488,433794466711902576,26435895172360264,528608479607664800,1002588631196215248,878402354562025317,1385460926004473208,885948945824587176,195665241641865220,253906411454355453,176905161065427324,1224362758045184499,436457419929990684,356397054459599475,716156878010690412,375553374935490624,1285505760551352396,2110286535385037742,1883520009627690060,898526502161579364,1005658510509519534,50332810309997168,946282326783300972,929733737602439960,957567311330082620,98657065732726398,680253942505303971,1224294295416741666,85320954196555275,162707712651450927,1084492549377332220,630550497261025026,1909619410784576568,258175801718797190,1498585217884711896,101778646446811431,791446932554796630,469789444666204824,557814284723471640,394115076487405650,877859848469628948,191419410708319388,439793398519712328,18646116035532360,745689191181275840,18525811188206457,185219486754359670,780580059260914314,428931751297197090,1475360001148855488,2278762084421663418,1021987620981666661,943002125358804945,88712994079519100,1773889448976149200,786284002914924768,188335678281781231,179706414407194686,313086404946700845,748760922615230217,266926176195258727,116748568463328807,766384266935867034,222412696234836720,637688145603972798,16489963744389594,329730275946817080,147765240965588442,1688392177871840800,523361853857892102,240286426782271893,80650949037825519,4893530866443643,342475407737207850,225371969181466523,1291326458400281574,929428945772465160,642608664970881732,99418533918100320,331325623894520640,226840863458710266,1604393721384117538,1109029424078973384,15130095234454155,403384530641973680,1445739550672897782,164172886852651172,883729814736141918,472683789645565725,1563272751301143090,1194396018954724565,182073976568596104,1365267838084646820,1385262472908220320,310375475000368596,238471956620545955,190554524525870487,846730855810148280,16780705749516940,1509945732165661560,309978759557713986,738574882357755513,202669397610000554,226611503303759715,843436026258801570,114135069341071482,465383185547769240,434132010196743927,1235806130341491075,190843729950603645,674618951074294464,540388196695051796,248465965236070386,518150710056556180,1990690560889248976,536934942458967372,69544024162631630,431227507556269015,234704479517649945,1298006821077693380,2199099174513491637,461514943931187615,139458946515599239,533664618480368550,955873527908925321,54054111008909154,540426833275955340,1887561213835514064,47215779856121380,590072407885327850,822955805348576688,340793897650056575,480888786836909628,355611603850724070,672885101556146315,304110365261033835,869991702210351735,177827544060466828,216442279083766930,659707352137099872,264372429467839986,1082700042313413282,1707891278886532236,597743997867975570,1514051032740758743,418085418817133730,56588517073868841,277632410546753616,1217586565317287430,1268558076202671246,297323725754918448,1008447466073050143,659004821241496816,45333686416689215,1744918901851487337,985983003238260632,390430026159008236,137367769076764911,310737828589014500,1551054698131874496,1519626547782969678,604193357626645809,1407773827950808157,397248728390744670,870767057153748005,1131816567070912992,600504838124029032,1399094766600058896,32195187262069160,281647879879820790,1150314158043363736,1163728713171671240,487518135209541945,149661437859329160,1389780121810095156,1751234384966838492,1601026116862451517,1379860883433603168,469938347312053680,164034420311318202,46211817939795201,770032551649714350,1503868939158378690,1488350874616711560,504755590216874409,363307805690362272,1178637877037209722,483526337986760733,465374353849037360,1348312492498191354,421830344044221750,400942351013029168,1219014602737789965,858147983348100165,197032376649468142,850915348809513745,1273442357928506016,445555819851423462,1904147080177182840,270922444819178148,1308046859436019072,94072872022444742,511123482907516827,490213800664062540,658354325673864386,682588078694946924,668477162206345808,396538643011188174,197872611566861625,417983517826416249,669552174122941230,726327024907381104,1113691605475901752,890025624472465400,352252679636957208,337305205478406903,200638256643125316,1411789129782114474,49938444805719945,243494568738219913,1062993152235036984,400742514815352120,1471216888405539438,1211496443799936360,236506485021777735,523854350419405944,431644765175176392,1456132056170150475,429247529392921400,370447018496913756,1122691731944172397,582099933831468416,434664576796713012,132750733551382940,157293301553448465,28783674033701688,1007211417651085080,1316778426109522120,937509270552575040,1223205240761017056,6346190443535754,45320151106475100,724965933271310400,1283590870433961885,1230889371061382040,36472414586570556,972387680939392960,1387727655324304644,1824458271033931515,1239000470692921105,1716786384975974997,3183123429349735230,672853825802503800,4805888278698455000,834339911221205478,5741448086651018616,679212099357880728,3140101491321969360,874857117378068496,7467697274182899952,559503160230036816,2904431907002990760,3179715272677261184,3429988178738531808,4746297355859683188,1302054478827191360,390375014067171984,4879473954026543400,6908194122203824744,1097165083873893588,5683932064697354424,2809288406785230744,2275671050874094500,546716124358572288,4100191334341124640,3988737412706229330,2062018731609110016,4270770863040051860,2181331581247041048,3545130709319604768,858710578074252804,954081071306124960,3870672743627672490,1364399311986499536,6130118081460153744,1394060996637205848,3696626388081556690,6796123098886234260,467473206214811232,5258843194413309840,2506103647212136896,6738712274847319584,4561882626940772320,2529313270279947564,4439269801843654272,8678489966538671232,6681590323480058112,4213110803258632320,917181564091917196,1235044648906551774,1450514516113145376,5617830280419520880,3676084193779284096,3970150774472480136,9337027572423459104,3289762545287841216,2154019070594352564,6527825324992967088,2616168639666991104,4860507554017406496,7149199678880535696,723919623201027624,1677125907070496892,2938413769589749920,4371486142906072080,1239508735464564468,1140416653453595672,1350291041131010364,499817184291143292,2497364314681005468,1234119096986448492,9800891013101098248,1776724678622613704,132708090831557922,385011917185961520,2309970282975995640,1800886919501997972,1502083442263674468,11280316523588896,902385779264901120,2255865595217001600,160502983414983110,1283967602517695040,6396510131397139608,859558308303776850,8789587643134312704,7932777134877357312,8192641914422568456,2299887675880307370,6815814104866512816,2049057384159461376,504243507762917568,69112439181875484,691094104924124760,1054620747044683644,4438244985091867392,552299687577150352,2110841317833155424,564092853214283328,1938223842020131248,4398225539193921096,9786091228484274450,885058030577808552,444651266344358688,8892635579845239840,6772321865438412624,313742667582739872,4183052228670271680,1179745586964823120,2222566432049647188,3383839045463699592,329089751660789504,4230968503962287340,3828851279092531272,5858238824138781976,6173213276879257056,759940700540303214,7599073921205140620,5744229501525053616,5882750257510908936,8266886786332927512,2264446838733176130,3146057749414036608,380766222593084416,328213231641800310,4594783831767472980,2950332831796389660,4702580789086297728,1419591163609817424,2109601138603039496,2859467647309252320,1462156695341029344,9686056270136996970,3937374850001200740,1181936773624410072,399135413195887248,748961288101944738,19685362344073488,393689987952227840,5905090944819734400,5582593983221262030,5969289550551069820,6492166239682225404,7855782482578440960,2191918900866329116,3960087067594071216,8240472207466764552,3901391033385215972,2357123279234095056,7271021982740600448,2571346304896921412,4726293003899184384,4827415928147741808,4204828618229698256,1092902362468291584,2409554682147306960,2164581875073701788,2575758038989876596,10016322239040503544,3497351436315961536,4045242088258682598,6069826239339022512,578507788829597120,5784824242246420800,2906008404287998608,2284525213285109872,1737741675836454816,1854293432976960528,3341380733152517412,4715358723496873248,1829708844099523584,3481003580348970528,3702462016127233212,9536550782819195232,2876752342060331504,6783510840151187520,1958394599940703452,3242454184583367114,1706056549972885536,8513818218070508352,2752002834327517536,1976549460198812190,2205759033980185320,5939899232965354560,1366420996854494172,5508368193983223690,2289094665081216384,1752640700309511012,80420651175602760,804171244816504400,3281326142710612572,6951040799243665536,392420166428996566,967399594334891790,5530018575979374912,5561461183165499360,3673784155239037950,6784523669301240420,353545319786371812,4713730861582520640,4169176491719854314,3933535471630029968,5661133388574393840,540114018265047696,858472307327009712,5365216602130257900,4725002799620810784,3345117903554949632,2265588675761797890,5621321137498173954,4021976603231082496,5427015141376798704,1488271247120123820,3932475518306794976,2376527050269805944,4207552089813592272,4004826798631040050,1112105116995691248,4733331882070505472,948008065957699536,3141403973920589784,2808563288609113896,2003747542353095084,3028865022217230336,302172123372812010,1208635475088551880,7532282480760261504,1653246809906946624,4081085720832095580,3562429412410820820,8253410962517856180,2879608189858296336,2149925663987257644,5729239329858665796,2209724391110237472,3477856889049771060,1687148763700377528,2965980233296874172,10979010285270684732,9263471901873588864,2917200852521405472,10480848717602150244,954511907633786832,2099946527434994216,2293476306725329488,3082821948895491648,1314713640341448440,740813854681795440,1446255343747480356,3509562288696415542,3205955874420758592,1907989147836951960,664324344299061194,6642951982844853060,3232638363844277712,3202029956245605440,1016774333409019350,3173716157488697256,3458603923508810272,3662643531797184276,6296828127560850132,575750725946546204,1596442112967030912,3805454316809203632,1432579061586233088,4225073483028199176,5167149191100049152,1567325419547595240,799381878661557072,557202032485519644,1857258611035928560,3055016255979264480,2305812605103467352,3008926247877083952,218377206368813160,436735247940284040,5201357875679918832,613397425008581580,3534455648053971072,4675825863459320480,4758490372233222702,3623514079626636300,6505450158100801536,7464073057699749504,5937721781407394022,809280309994605500,2316045521212099908,1663386140221608576,1772994432553097512,1768952539974493242,5817444016229607744,4322309094898397680,8102514862112741388,1007663529814789266,6178855142909864576,964787067932607216,1109993469730886214,4896417594537717952,3300882466288365072,5502410247298100760,2205590959773809328,6758179952561195904,624409305944039580,67404012943291776,561675455379785700,6739809645678994800,384885123476064288,5773023463166008560,3841902871648086168,2831723981978950254,778618137552449796,1089802687829612544,6950604534657727848,450951677197636974,6388171757136105216,1127190435612435776,1376818603833582864,1399885843769754660,7339909382465498820,3675653982214864320,1167951612826508670,1650094116153169806,4986716217360853104,2379107926423606656,4007800922652933024,513518631406747776,332213983579863756,2847423434224407840,9332817767926966962,1921584103706048208,8764458443309224832,8536112125733562432,6256221673731195456,2022631467853475580,337544365468737492,5422259928035759616,3092269586707468368,1264916464141305456,345446167924722936,3932634062077577472,7095017665664490996,2115914539044922506,4378368228906735900,217680845706728784,8706851568376316640,6006503856307166064,386494281384302592,212463338491120176,1062270053938635720,370983379128183696,9466607059060008,47330957205902240,3313021543521089400,9254074263981395562,1615018420743763008,2332710871791587028,3451959847750501824,10997302321294390476,7754451611807505948,1201371261966254832,8129261607172214598,391436046969520806,211202512105738032,4388289435826542180,1093210935040133904,1058300427513640944,443527623414110340,6209114082955822080,1622240500507011294,2166870607772806148,1925431663226650848,7918788462273057888,27756321911670572,1665306187326496080,616062968964937296,4290516831906496912,7168560453588494592,7608891765343258854,1053182134672690176,3320488891946043360,473918788854892530,8312654669243294992,4719607113707321688,933040857959920512,5793533300662009452,271563063847533150,1247271470564472480,56969201841428496,1424167501054386600,2294866221038792568,504692695864204336,173511029963829168,1735034100241960440,3410379238751720096,3390003494744419872,2158777662793409736,4132694972861193640,2830916837987077752,1020850814396645748,3145154314645718208,6179526703267299576,3528212518739274432,713584703080941752,2924976373806675780,5625568623314605890,813212117084932510,1577627345033686512,1241097831215237160,18411140511600392,1656929868219403920,3655336686167801088,6991550694509659632,3404883378694946796,748287376508983164,373864623517719776,2803861516399295040,2177879142677614398,9922714559844057450,2348759442025963296,3310484605280114580,1394205639607824330,3814977332321470536,3677844236267827152,1731065721526414536,3384305211802412304,4299527408800821552,6310030205419467968,3186096619208373024,580355353841006676,3962207954350230552,4972212831523125468,6649158856109636160,7961422074372835182,1857885428219408496,2183646139730839728,2149459823091274928,2712714701952920472,1720393130199410232,3050736902911681940,9444479507943297408,4404684142690518852,8333856021606225670,6679932374553977088,5819261029751314656,5445517150095522990,9466721592357486636,3399259005970894320,3247867249848061200,2776586943394745040,1011338944361112048,1658449719217759104,2134546809397295832,2361201919857873072,1970250500135324288,128091138698747136,640427554831848960,2974044227400458864,238599439930185456,1789417175676223680,2096275725756301472,324351076371740352,4712533582455010296,960727125813891568,2233659132137787456,868047100142351568,6510067196504889720,9180099516808568736,740940197235909504,150024418763083184,1687700550904245180,1293306705181829736,648167723936297840,783937962321038448,469084250760633156,8046582854977117696,232048958925458664,1092224388308544258,7678228632286874844,9151789138057309824,1936108504549799280,1129228372063794804,2616284675601508392,802453967826226320,1314948090956984272,4990576040919638928,2853586961053856244,7345384192170146528,1176677744666273136,5838403039718795064,4552045863375185032,998831300783624496,7871251533489015264,1234806252667846064,1580969664487161630,1414832274967563456,938159560326032000,1583187041645558892,1106810717033691648,1877714310297766752,993281929032999840,29358579069056556,880718663411623080,482078420783118888,7101476201143398096,1590795007759385252,2376126440589026592,5169373807563250560,4210911705198949376,2861274278724800832,6742013747434690968,1793076325407069228,1531887834337530336,1207090559633940576,2261033040338218288,6730908528621023424,488394990491535072,7325602855101740880,5876158810331805930,2156149047868978932,4230502001311753120,3077863389073578576,1699501620603000540,6632417979537405216,2685192140307123036,3340996608709836882,248442699540804958,2839220329054845120,3294127719785830464,8239466598438374376,5196785849150233842,144284987315172096,5771145791634877440,4351578368897963880,6466474146165226488,6836843784224068944,10724512776439265784,6238702577626953294,337916536230070798,1858749623317284864,3599847304051699140,6454869176380271700,7682932452449675232,7217027418794077836,2565857580685431840,2101479242022526464,7773011046987873666,337202313216183328,3371874887552454240,2167241435416060872,6251400988295331792,4376004847063774848,652773664795613400,488535390926042364,5699328979353681420,7180039460978296416,5072282615982838464,1324883630724159420,984243994704040014,156153617709504024,4163913390696744960,2791037850030932328,3269253141323683580,1682289269829952800,1070223512223855336,914390911844961752,1803299587226615388,3623220957877465248,6013322353704537144,193458538840754754,1934500325307443460,317252409977295936,4357765163333254896,5738327251769483250,1409133029937801162,5141259663406959660,1498279058569168992,411754334936790848,5146702865605504800,4092821610957264384,1126709510715497680,5153793286858735290,4743658791989112996,1522740768206994304,976391618333202456,172437585361011954,2510037652896449890,1047196568322821376,347012602826483376,867493357073501460,600047695612749990,2400085231818375120,6013009227509343552,1475466207775267752,137493911855756628,1374878652690042720,917462043253416204,3073348043923414680,267313449179099750,1909297808463225000,1384264356758608248,2215621871800338526,2888677726553705664,1114481627134200000,1219187357191052832,2723810264758168326,4087208971484754192,4769782517813422960,4956861401723297040,579331123412853072,2045349560208665286,5257806621183377640,5983884692145189312,154475203404750724,1619479205207157330,6378774704228386944,5192259945063784064,2708325132975875490,1657162153207040496,850841779687389136,10667221729043661936,4341176740344270210,976222131071573862,348473251272073608,522038216580086016,339361635810099036,1906357952688312552,2972213401621542408,733242390917911160,985748898939845544,195240581636587584,1220199958965312800,5187522619686528,6484118036192280,259353312336324800,5835192832130112000,1926125810243498700,967103890025726970,714622547985987054,2097357227226530280,2193545896214706336,9718415431817995440,10565232434575754778,4593259799760947376,1360105685676832704,961865296955999028,7593128073504742202,8757675055097883072,2389804026396287424,1956606205405896668,158742129939499260,1269881170295189760,2211194066499049608,174445868469606732,4651685167930908480,4699984504646672080,1739623368779067072,505096993608999498,465154965089909594,2988668998524113784,1937056690502758728,8405313514473957642,2434001936500389798,7236227202600416256,4387576158066041376,3990751357558524,279340304043669960,3591360173789107200,2355847977857778684,4648364658531192960,6946461017745980742,1234695333250654704,3237066764058806448,7770451507350428336,5948229756278455110,8444581836361713864,6021503735762685212,79903646269001586,3995006518913256900,4800933611271034552,771931116749036760,1247401353891173184,1519190116662236262,976959996147014880,6631195614042632364,65785228678850544,1973470016016779040,4442172244026952860,341242781776375680,3412277654373376200,3703444802992768350,852845403579574784,4264039367462181120,1854417235927196064,2268554386954858266,1051368344499139776,1368648564887408112,1477575475262322476,269528085900083952,6288711906567390720,2351168268280214340,9483808777895764746,4042674442844964420,7100002430131876056,4149331212780466272,3191142001778639568,2729453013473932272,2935767240864141480,6049662282278026416,1427026866307059552,9088997284572479904,1261330146185446476,2230566173306037856,2142723056292347868,3194856246581286210,7408400466762455296,6775565866723589364,1655258664602220216,6896018233767657564,2225624615445175056,703385376484940736,4791362514325157550,3231891804997726938,4211678004884820288,3238321459462846912,2419214249605636692,6199766618480138784,2765797531913513328,5792517622010801232,3454155716851935666,1746563423399964198,5781259906380709632,2267491798084495752,2850719081773007242,3433590546422493264,648881867608246572,2503627950525984480,3179597335862200164,2655083011000648536,5478672906475210456,3794697994879704528,1694454135461165736,792205118895983672,638433036532316184,1574626594671430200,5051002757553606616,9174487248557199600,4901613064954098768,4732421426774618048,4244143064611006656,6312997275994768464,1572044645977405308,1545314375096982528,1784671703134291536,1017450868408756786,1872654675044196288,6251276448172462824,4993050163432961028,6403381473712871340,7741156812765240384,3555687989621101224,1871042482837722084,864757479174011406,472574384266151904,2536954658825556732,8390586153012122976,8577411853471851856,7143655175010429768,3531002109515705664,582325305960864312,6557064514530748686,99087792106862592,440370797202513920,4403514079899033600,884669699020225986,982923052369201160,1054964042209320192,106584455109409758,9592178590606807260,8656744737127223232,7944052818175217436,441505513708476902,3117894361729199976,4191508370065631232,392398757608672384,2600170674061098258,1863146891453180544,3069225881388443112,4846479021648741528,1078101134506411008,544792680050172616,4216972521712691664,7073593712258548032,887923731961272446,2404544795960000292,1870457672081986560,538019780414746220,1075992176127754740,5359550601088899960,6189107781789543168,4396285419484205184,226219897175610030,5256852076816859090,4139181100154586960,5071319165594179080,1830559090931774688,4723245824318424270,7782712659948353568,134069822838032976,2234398640815733400,6701545093038032016,6690405464804170368,1808954650185169284,1146754173050135496,1284176543201018478,3251460424513587660,3621769017637808640,6280566329869542298,1005419702739049596,375171811394981088,1332013844790588008,3667168329088976820,570269267577680310,1267209224053724400,2015895373599759960,1382152319801505144,2935865745285041382,553077214845721920,8848845672021509760,1061756683480380924,2241118972056097656,5360715861671132424,403046616413150368,2821403316660064374,806654762388966396,3249477348056451776,2174580189600234420,5056637777716578438,2358792658545082780,2743878855319711812,2739720705339438432,4028724936809070250,1611016606737328656,7231148940564612576,2349924627617090088,5238977816743538436,5923744229356300512,1646554451258628352,5948768157633832608,161159260385587608,3223043221914956640,1212811315339394952,2509979052189786264,2795386686242033010,5310836180524544628,2373977101116716088,2926623624950231568,740696068612665792,1851658595575791840,2412102330762480576,7147333014152263056,4869281913441161076,4590717982552870850,2186010302671798164,167271951213057024,418161454839704640,2237873920162912296,2296105865571128976,1230190815282539352,3831777909398247024,3504563298536631606,5725095802397872964,8427050349545853792,2743015381457332374,6252441393851604558,1825282281318055200,2035463030370137988,750899660259491350,268570962325782264,1906328836678400904,2790491823543048192,2062091732931716508,5886910271194760850,3513003995447924352,5965581009665503548,699395921437598082,3108289355169580240,1599470184960798264,3040372661171101056,1456040937475194384,116310034085582304,872286818332988160,1486853878057568328,397261381733478288,5296585024652837760,1183089923039422040,6553714897958836032,499260722361669954,6418783574016509340,1103835473712730680,941244187570481580,2030835801601787994,5936953568242307760,754965744582113856,682030388847285816,3175059623604624840,1412263643406923856,9317697477262465680,6406506999764362008,3278553499897260030,166381492321228412,3327483202093061280,4356342966427575552,375774768445401968,469697760275686140,1082620638444451992,2376841513667892208,2084379113429842164,3924885878449919460,5601600066003341544,1611757534148412480,4051049962458519090,4378362620811009240,1631477397262247040,7688998687656672288,227309125775512396,2272991075958072120,4221898638597312096,4149308162217419424,8983967003804423322,1751908564677502260,8767422816598412928,1120195933752025188,245075902947407844,1225325505910171380,473272741120645452,2243424758881749168,1538750153344795688,2125959192225013158,1158629763126869136,2265832007170926348,2991770693706230712,1834950778171448712,5262135436158803356,893814557213645568,573000998526168828,7339763816154294656,753169428948002616,1254272962133128896,5837751084045692576,557966071695423468,7173533270251109520,3014878681507786432,2565288493801489632,1602348332921700744,2387463839673006912,1485225687150610416,1265219960050686168,8155543243164432786,1933913254217739156,3910012737131890800,2212312793543760882,160709927089446528,2024289641056884120,1768193219718039312,1628189316038912724,1857037213886551776,4355335331702081980,890843703201404424,3393858002256474192,5942876609861366392,540563512303542672,6949795899989566440,2047245012792167376,623072582435436768,4985093493614374056,4455358574889289600,650093532972943524,6780582616179254784,330474956231013560,1321841544915722160,5425487671482560610,133405695695173140,222333023307130200,5110871039255510280,1839753108455205636,254959017391897260,664557631325053632,3691824059897104200,178563068063024436,4678493153941654032,8360873077830591296,4227775743430365120,153324787441906494,3066360541005979320,925419294570947328,2734998398084997024,835345738838865650,3453564300915474432,2126994905810010492,5443077571119203400,252757918297815606,842489243804971620,193243456612891264,483087338978301840,15437413348358508,1234938610474246080,2406352406667283956,3113758189426696704,3904291396078955840,2440589533083577296,721420391385179640,9274996014847021800,4253469060044671632,8731609885375168080,119274843162086476,10734262503365346480,7928397457881148794,4792089884246299314,1582458922959417792,956037587567959872,4730708123739205496,7243770536143766394,2267499162585076056,1093046444981761248,186647563418595048,2332991651285225700,2138858348571560208,8831846227836931776,251227457235194634,229830806706189136,3447310059824006880,4223163419110865232,3137901733405395990,7847182242123049332,2641500515192609664,1810231861141824512,5966826783058183014,4469558818694076450,2364359485260310680,692276747862149184,2130290892466080912,6402389291884368384,3260043281832785856,256118839087928652,1707383617904897320,152091116347487526,969354830393314164,2507082893037862464,7025120838872860536,929912360109694206,5496671441992260096,2335449601312097508,3000177151847346720,26618769402954180,665439881990103000,133570635655079088,553799299846617352,1685631361190327586,2027247359098734648,1543994281251955320,2688562540844722440,1178307030015760944,1103752082751067696,531163888836714288,2097215031828112704,1823666567338749408,9745317247293144432,464808738294165408,2323941171627024560,7164861015666433632,5307170718417952512,1303284457285964160,2671850952083408850,558265570214337324,3189679685742650624,5576758665347879016,2368786897944406764,6471662371109528436,56803772620730784,284006333407529280,672114739680526314,6266433683528529228,3507973330506340608,399138922155963972,2424323363885130492,2720158192693553004,8518988188226626956,8769554854730254464,605643582204316422,5762868072127607518,7419201113641929696,5177934638764225920,1586060186262230304,1516961495605891032,413318939466020904,3833117993930482488,4171762998202112712,5864765582407734180,1285961018264311488,7585960990884185952,10061110605985873434,1275328313273825466,2666381046675496368,6228625480556430240,4735320939232735850,5539686932203594830,1639240144185971160,4446608590218501440,3189870160529193972,538609499494336116,4259233722971346784,564352009385161800,7900579505035604100,4306619024528402032,2425936067062577664,376582925783880240,6589910403161008700,1055882404269534078,4027758869116474272,1553867739805386816,2828299861145835384,2294711586346816770,2016141848111988784,2123812795678142112,1069705569495256032,1722172826301552696,3865196907972485568,574700613498178560,2298701009940085760,3011467486072571544,3317086185302149632,317282929547310012,3172689277968527460,9270595948117340232,6044246545377486336,2777481646871210496,777435871359034548,308227870575059022,3481973392712292960,7996261362241322400,3169151095792016748,2847032043169051962,6846263582029652088,1352877043122433648,1602591696758105460,6860573089809488064,2053507963008309984,3267523614289563612,800679130080269070,1635970232884475736,3591125020733846148,1444772166365528448,212157013178625852,707158831487213160,6909445370832241248,3937100510992414260,4333759169380831008,499579589461241268,3568268138649154800,9419014454742586560,8382414013529935056,5665472899250942424,5503801919326565040,1415457378897013620,3134445942895914416,1806444660438071868,4844136886068649092,5778896489289192000,604227676865952888,3021005030736805560,2700245996731166720,4449916761565799664,1203951624251566590,3079278883536381526,5780847991557676044,6674548254238136448,3247053072989761136,1458510229797130026,688848695614211328,4920130627525366800,1572547401604739520,3054926957310492624,1974491663905813856,1391866030255414272,4394410303516197552,1462325631660964744,1353674578192404864,3010330373475054744,1792131608910523188,1078149474780577128,3033486503157476340,813904360332524440,2325338369749372200,4581723082287459270,5834769587480144976,11763501981961272,352889479603998360,5293108505135068200,3366289279756449072,3594300451258410432,2256196938215523192,1723303921271031666,3625943913053911320,344489574794838288,9185983085961525120,1555620877576062084,4493778783864747776,1419507791387504280,5819512398296296590,1872479412004346052,4153449955162890624,4354382405775861720,385494080309113358,1727861092857972828,3011302963010923488,526623240019494784,2043619136153715168,1238779902506109516,2323754548724491104,5273323006195093080,5188348313409361320,7813328564384820576,2171284338495747528,427425941267411904,1602776506144773060,1178293267016617824,10243892316518814528,1375662684028990712,8435605048033666230,2111679043220989956,3160847998476445992,3095404312003696512,6512680876996985856,1013201116123304116,2515717541906552448,2450923380034467660,6754294284082739376,4540900202780204688,7403172817143563712,7524703856382134464,6557172985480275396,240979471661180802,209212968729335808,1046018649435154560,1111965123996256788,1735553126336054088,777091194434568204,647683314843982464,1623214114230258570,662303863183818996,2063383874005886280,6600671563511794580,2241832220697750516,3690180371685155418,4718977983297806184,3969315295502117376,429443477759753904,6723494073922404618,447997348680565632,1119943908051075120,520748714137806682,4154417790425035308,6340390269453586872,9687405641858410752,695993609870397168,6089675118967934340,2772622227523849512,2012078247683741460,2329188055394837490,6601118195608861212,983691539123829156,7256377318253995008,5384458394447213886,4616262202873117248,1027141783377764736,785520926588079744,4446564632695341288,2674437505824394836,1801258124533658616,536017052001438000,4594228939214505000,4900614606164649132,4221788411990376576,8877565763434908960,859169451328487212,5181309849968373198,1454587988335976640,3233659686139590048,4544370233032594608,4535469443948131440,5577036716421648192,3002254608413257308,4758751885834126908,3838214297625046528,2232534620270715408,667306060917008256,3868883232385796944,1564408063390493376,3854736476035564680,4820703439598492672,311263003461652110,8299980088509357600,7203038878026143616,713897245096431672,67364322429569808,673613465183241760,5998816844795344896,4204335540116612736,3635619781510604328,1373727941155578888,6164069463604342584,2407873475533397472,1846852111230210648,7584082789207006416,42276069102447168,105685503470616240,2113616687273992800,8798046826094301056,692399920689216168,2190181239181836096,1802944637976886932,1914684188616655128,3261249410089616400,7764506339458513876,887224421439616572,5320398295953804924,1171708256018395032,3379329516310915968,617766078917715294,1315557061500298650,265391824136813376,288299454259029576,4139761195271712864,3107214988486031808,7127203511131795296,2523274166028342304,2768214538229358750,2849740081856363514,4713501413367601632,4061290875028281408,2430870566707908864,1108062246831298996,1762194131487695664,6871354125927732864,942936499482597234,2336832335393091288,6275648696051899152,4252241993346831440,9401872320759223584,2231054507066741172,518955766178092572,4162539658143266928,6479270347819856652,327785548049310868,3201141867750856848,7198564501248509508,7484848443630745236,139145463326265354,463797714860031720,4375629221480507008,2152253597085021654,5697154684317414528,206030833558502304,1373478191624034240,3214467376275762684,171283425997922964,1712758565902721040,2081234538403691496,3057118517297144160,210134996343993150,5523257481106612608,940388284350252476,5695992329290427490,1532924695168368348,5231266965565562736,1090448751467414592,1401976918578032910,443131983482212648,3560934360248043552,5121840017161265184,2505273472949363750,289764241814398932,3224028240864206928,2611995658904702976,3778687861876522980,3183010288215168720,1755793504893872576,7648268114066358348,1435639995698604732,232269513172863656,995396773744637280,6710234623904351232,447276835912257336,2179396368808511202,6034887516950087424,2800885587852243408,6779171108930827284,1368729752211738972,6629537366187712340,110204520486167376,734664328843758480,679333378507081770,1256928998591689248,3699241112700499896,1622540396524882260,2078017872832270656,6633216618699304656,445808645997248656,1843382295535316316,6760176745395103506,455880208651371488,2201447681096776776,1200098170005084738,4182602853651021522,1111870601240897412,2051607729454220448,415528697298499772,5582804650802309898,623566128453354720,2284120149095446464,544751450362495068,735051471157780992,2539520206012491336,4190954209990688448,3368135861794230606,625997928071145442,1112179859295463080,695491831990954128,2243846653940523544,1797625393846712712,3723105726352137180,1522692309224431232,822342184213115646,1544631715723517568,329272480862370432,937925948530667136,10241303989104077814,2351161968329895858,4643022420930063456,6077860580210243616,7807930056890658630,2615961986877472596,828856875150166392,149490583903630716,2491399576162848900,275353912714432272,2799362837299716632,468806426537760552,5789532697109211990,1978340610647947972,1436690605536961632,82780607942848512,4138847392325324800,212992187228791710,851931079179004560,2191826945263305792,1490176141139618928,786918444910782408,1082742005698342208,531869002403507172,5371130603153563902,614523275224594890,1755703151059273200,3282225552753686352,2300586030395661108,1227369853963233336,516015579152187840,1143198684040001040,9996175951297675434,1052696881097414172,3367363935383308752,1820417276398443264,873869008629878778,4597673507325358758,1628430060977527104,1090313031458501208,6004377194650619296,2271429990938035620,6104329147534029768,4638751923878178912,6128937658983483612,3739830055025302680,1124984486678853648,2027618612395895772,5307222531911076180,2487574239446345544,2762298857303056800,5517377408437251840,3241910480941190618,6645236727635971812,2018811876237486048,2444027545719995704,7998112789328515476,1713141307953749748,345513907171450468,3319715695799491488,1991329240496166648,1408448129266247780,4218019900073578368,6986898444590227512,5393938709010437710,1111697981238362910,6296723471416857624,8829924572879428864,2366292910654437030,112873836943700316,2633606377436268640,2172383605145830428,66588303604341792,5326828678336023040,7119892131158145060,1740764186808667776,3921307550763134224,416653277864866488,4549766949895227120,3547794697973813744,5915474302325105034,707132575267123350,296398607996796624,1317268879451074560,947207467818707436,532766860699616304,887905492138134720,669384878112376092,1660085126959825100,640551824645014422,915033558607754760,5652635533413760848,244116557519532408,2847900525090306840,3857538198099874848,821169232069352472,37235351576912706,106382012785543640,1063773069614109600,3150519445596864960,1321085068865876730,2662015678948577106,4014966423878820432,1663387825344983000,907720110130596048,7942199609796526620,1599159604087598472,2895430517680523328,833065117481473776,867069226049196952,4102352149702308720,18875014953122940,75496719791598440,3019735195983950400,781319982678606252,523360713536945152,2193496550475944544,399352287610083732,2399529967264427960,457871701623454368,1144628612704683720,3627431909134943304,3486408268304755728,3635948319147632376,1021277014447103304,846045558588172224,6460593750013886208,1386332168233341744,2218033317720576924,1478623199479922832,1355344202972873256,924054508782455760,3141556203384010026,6650595397199238792,3305840327068431312,4970551721332448592,831468166266555702,2771437926849425460,1046941547377370268,4433917667937398336,3879663959142989514,2586928777192728108,866775568138661664,6593039789994330336,418665348014397648,2616542646145477300,2770333592988989280,7756578227696530176,1292658555463014894,2400140133177395562,7865397119409537024,475807391143290912,160636745110822608,5622037299168190320,2030859769989902896,1600002670730856768,8861252752714203396,984760627429381616,741845981029269888,673311726395720280,1598323587589803042,3641495312503579284,1347274718562563640,6459247941588944544,492095523726785364,860588887587255792,546266486858205816,1213871807336069520,226297521090613170,7660577356011627866,3843910513575884268,3828061534203308760,3228368783567462080,3074758005476744550,1232008596477773760,6691427088094138464,851440561639496568,6021877248670171824,4150112806732450432,4639067741088494208,1447616698983425016,307259001233540752,2210353294199886576,1623687946741536948,5726577972296469222,2620920215411290350,3426576828050128176,7282821195871446848,7443604099213060464,881944208671228794,184886304802139776,924390610310672040,4289082522980082168,1951508328102962694,6006191364091185048,2017714133979774432,6229013508631519130,6559007638294383678,1427075653689505920,1560336281285251128,4266172456533446016,5985602607369818664,3265470792460097680,4651266040985684736,9018931967305580016,2320040401503787686,4401336539915915904,1343905644664893984,8213056545000502624,8409113941287363336,95513063673933312,119386044958597120,247702096178791254,1651274213252194440,2517828364816597536,6280236058495442076,6884027134599285540,8807645175714499086,3664285923095603136,2164766362961804208,2974524902053705458,2919720473061153264,2840731340234731776,5047702204051173348,2836939673191071996,262266837891173808,728567723699691020,1166239776699209664,4091860946448127776,36435600998735500,364339880760780000,1968942373920952812,5156098197758764130,2620237871877555048,742744802235620052,582039189136233984,2029907814367780578,569749630298587272,9337227946597358784,4220409591201931776,602936772237340218,4019400533068023960,6125124728284402260,3581943910148703168,1025299459837112950,600132109928460516,1342931186257143936,3567844639860578000,2304663258882220614,6260511494276888832,3402575087727009660,1725910309092420912,1438851711976788546,974954442191100252,1828893857699226624,3365846948367429804,2971411279896878104,3110905040666362632,952215746848267572,1897632032722858656,4722886145791477590,270581336221847064,945701901506646680,4365991101014150184,1473547645044435240,1859583406358061948,761670642003273000,2224867316847597576,3405786319077138912,741336763586583252,1516458320617105488,1003030351461306484,2897317568933429232,2113077804437944992,1575269062789859880,2472975406979146368,611937788511484908,3059553462125998860,3580007629599147648,7288266793075070364,6726239927884805328,5217473847296221182,2862877329547664256,966013345321116928,269339265981769428,2693273393487539880,6007074547437604032,1423992747184341456,581775577190306256,584117166633454916,595927534696368816,739731872780010000,317236680686536706,1696012305350656896,345275633208890376,1128589103753282976,7450109109777969954,144202681779942882,2520991463960231676,4296374038264800384,885765656538734664,829000207837192752,7253430585023034720,8550562852848813696,1169166024845999810,60972585377493984,914548277076742080,725579649960293312,718612420754287110,1103497028961795432,2180746937554023680,5266490927269976712,1298335189136465844,3429911565278453750,7380592113070204980,755444793390645696,1888528339669826920,310438189147170096,1173894193943566272,3443913369803145952,4935222651225168684,902856989461901562,7021910015400936040,6716870684483254848,2498824684521415140,3200137590467324448,520185819864641784,5201627802460075560,3280949695261462588,366628310659149696,1833060360072257280,7713860816608457784,3470232737487864204,5716261944227751180,3968005811624424128,3199859542734057720,3599642942187761340,1199405510064339780,4195621818557731620,545315253314602752,2849478987305192872,4732619683677058896,1058027099012092440,31988313920626808,159934484963578380,2199186459414394290,4600110108519486660,3253424053005785016,1642890592352381544,4405454643506737898,3978625056709559040,673093271638789872,2094325555337203704,119792270282454918,3194319034111066560,1031904487497695328,2619031682144295180,2410196507135499456,231378267118149080,9239698315561419744,10090010440275033438,5481623228668519282,2637480065968502928,5452981776999065664,9212570932184411850,5810741922545163864,1669087647657669888,6278511283127353332,236508147456738696,2364976698884871120,2179301225838252712,1593890859558777216,5103983680109430780,5661117346099933872,513577270310499072,3323709286413962328,907887877234836476,5843500801753517892,3337550143870459944,684754424381519360,1694462403028410864,960395078535234594,1372891558621151232,10053934214018335272,2260877940186544566,1183244366226135776,387888995648386980,1220621702102285904,596868360946115742,2496882599889919974,1336080926524099536,4278506267399773296,2543096731727966526,3581131870099422576,1463957715124543536,1008631124481787008,415652148719228376,8292599195447351934,6699410282235790368,2265578628537066876,4895233468236448064,3023567807309350290,4185383717106042048,54844361694142656,1096838631566315640,3434060237422819008,1471852304347917864,1404658774044315720,496782934351904748,1714969401243452160,3352744833806023128,3083434067473399584,6177941533025998208,3145564672329297936,7425415947198825984,276694148764849792,3112671238451783280,6881293456818865272,2134157380229255832,1078157727031750848,1536376193075746944,374152659756047722,274896797111829048,875945123754065376,6393623274108308378,2092004042037375252,186023746298370708,3100258378605861200,848675902895525340,777802626258198174,4236055159646515840,2319265319962027608,3603084744332557242,1615426437820012806,3060085695886806048,6488461658027328192,1402271941836513420,3464855061758061804,2316283759422162432,3998378182203606304,758969385585504504,1986794099590527252,6800255957632511520,838102547941072656,4363446598261334244,692447615392794976,5767826607884499840,1147265462774597724,8677840401226524528,2299320024230586510,9090168835551494112,5857034289713161056,3178015028009128728,4085103215544569856,9350561515673382840,34008822122951844,145745634875882580,971594501278410800,1945388221660084608,995503434642046848,817024369023677142,7262116945931956320,2006308070686298784,6431788133832941376,7835407269867790956,6506804145387710736,120972524258715736,3629014868405329920,1412082976060450350,1035747249046135952,2831884216943556960,4206367855485910464,695406345070806970,1189359479281093470,291829729601320704,3647709925267628800,2272448383680813624,2304552885470575446,986825163264661248,2588934772382637696,4966098632664185310,1434318607401784192,1921198454073024948,1283739785503809120,5254629840743410320,7259992839609923610,4777781499598608,39813080896254600,716603688569356200,796191024722346000,1049493197558311608,507320785777237344,1047034718643441114,22925702741573588,802364025470921760,8023284563799951600,7671917586327982582,3567102930131779764,373794028406321160,4304016864783117888,528085742004182736,1012240689321362724,3213570146653196496,1047909006751999068,77974851689385588,3508712768586225060,4003338598880461308,994528398091623048,1472217889680641144,2727112204380674088,7644114728288293248,2806158391414250180,7059621553328395548,5268201109685189712,3622233404324976180,2038428728297831808,3287590374855040884,3614734662379437444,2442446891059038120,1650594043665189504,5398908919004884272,1992388817921501580,6826341700973853432,5460230795393425792,1073608411317462270,383587658748530082,3081488211312602496,802643963041889496,2814136796875320810,1027941990519650972,2158415880770526048,442334074076110656,973541965022798958,4291643702969537376,6122035457659869696,3769586940012832440,1922573517100470252,3301154921027277450,5125252286363137320,2475667281157221480,3179484728624618388,84377865893619642,5062447469388228480,2351342825788335768,470963317361186474,563023420620664860,2251993820230703520,4587714045486109520,1131656908042422198,6825401992478143494,1675622262687516912,6926941587228187392,6339654301269685392,1056748979376749428,2525796643171090716,810173205552969720,2829780432425146044,121717378817760684,205731590908553712,4800190914469985160,1114907728994343690,4065372229633195830,368046386030921328,7360601294433738240,57788676140808096,1300187552176938960,2371628435708549952,5345883817710139776,4709457500585571250,1877100055334435232,302447313240821136,1008113001436160960,3143157282937534968,9420201172265019858,821247040076476032,1326043925907266808,4249396199634319896,884526324813472242,1959724831928400864,7152831698620143600,5313514297516418640,300212113797374526,4244078361995301312,1516245842858562752,5236029481943970486,2386805790246921792,231163452692379460,17399203154802912,521952944273695440,4742410629460904624,965907241741947600,3924329437423931220,5804630811970861776,3499062805652152704,411598150506994992,675820557015478144,9223765128680139810,6454268153781615288,2190372041750063880,3764726594150795856,1681102365176029068,435038380699704752,9787929407545175280,2234883345030431904,8017226288255741216,2555641683394048872,3965814432075197184,2609956700598068808,871046378924195826,2445855497437379904,3463951506469749900,822252716358445344,2021087308352751594,4031748933528497160,8220394881132147216,1113868151506088316,5795024447214014082,2075614254346197456,2730800322626730192,3716045698512717680,2237720145305405232,4050803932224629184,3857058426978545152,2881972556230594752,1333997679933020592,5390481232332981090,3797840469067534368,1001747974048205184,3147142126047814644,5322228314231899296,1856174300523293520,487284424650141728,587023762671361488,6603724366604164260,1876324448997027232,672577280559649152,7846386842523791520,3631601793268617816,3201843251187120384,2235149557410099672,2627689475642443866,5047050526252092864,1761530332376204100,451213805254288560,2158857109618971228,496735543835998362,3069860594512419504,3780961353224360088,5776867231627590672,734668160153153418,805273668142661280,3266629714294625448,456759202395982420,8221300882306829640,3386212908756601968,5966231207807181912,5563538567965378644,7605495221870224812,1720131851867116308,131804228253934080,329495951126464200,4032796279753145392,4209714827116142256,731014797943406592,5221302600845721600,1233630188707623696,1994579008694257020,559972622925796328,9249024874208731524,9064218742353043392,2088229465999417024,310968909769406472,2884184173086973722,3459923247800348210,127304790398624256,2545982836107141120,4563597092296039490,4839938362720531980,345453110548989240,5527004516422876480,380709337359348396,543846349355727240,4346264886172547120,6271224769910024712,1033854558511631112,59274548866544022,131715374834345280,5926928858816684400,5252958956645258220,1522660455862898292,3809715717342579840,1536752066418145408,5831042492853516372,2365278016116460326,2191100411052911872,3403819145585208660,5498358354489018150,2168665425478024362,1519897557191403456,3003459553074163392,990500871634754202,8151710114419082304,8474827700985298944,1934755896073283976,4710973172889298680,585823269427686528,4528534420773909896,2292506380234659600,4774786901206493184,1112377805442803988,4279346324491475160,5156099059886724852,100525840609457400,1005213793846446000,1853441203466643648,284456946351203968,3199998625699110120,401962752012578454,398794880828361248,5121105523269216408,2762865398677863930,6750919966716860452,2610056824216819440,659218390407699456,1782629729475470620,4661501054075867430,1417328987905991664,7962321010575683124,4336201767747171690,5543859488740214928,725171630011093504,4532121530538835200,8686935304610952336,601247494490187226,628322341699005120,1724709328823958912,5172850529069038384,6147903370610473200,1696191339249288288,4545762709430910384,4440595847913820188,2260529566149357216,1748838269092460040,640468677406647456,7204952810754031860,222431963454184442,2224220905912344360,1798826803504782624,5107123391596831090,1102986255396035844,1560339754789280544,968853703639397664,578512988869004208,824666143035951810,4581275211112699000,268813619713307520,1075206750317252640,2466026755421884872,501904390110530736,465439176039974592,50502670401254916,1010008572564148560,4473387850679588016,2505820834595823936,3809520537286222770,3952244305746465240,2152373666712247808,2079675637577750256,5826556390393300284,7060165114474335690,9157869804525757632,8584361169487727616,2453881854474336670,356992860850210596,1413062104113167976,3027234432746516916,2735905200192459126,158313235289185824,989413795740971600,841404481367323608,452677869213156846,6689249249422856052,3654398462217999936,308192364439615296,2311340118897165840,3527723619146601072,7988105052647523936,889236828959206528,4669035158677575690,1215060603255264420,938720114899172256,2566407303062073144,2601355377352249134,1428799047178443396,1296837303398986752,2906681979751160688,4773537028490844736,1422613116848528550,1717041966370879104,332719159227973600,831760968342009000,5999562900238090416,682073665593928016,7378984812378048,147573143956857120,2951331838518966400,281082796015436712,538858562432366592,1689717823646052112,4477175716525276014,1725339189154925088,1811989466538203664,8878832170620140976,877469902144564146,4951945760534409696,2738198676066507324,2314112863396136904,3603434992428770224,1060614036738011268,3490329811986075168,472171597551867894,903203492926639380,4698125443415607672,4142927142576915440,565084879409519928,1943442734041538226,3037768158313242048,523066119925558944,4836821615654340312,402236256704267472,8044367917851555840,6841197350406177024,4867860928175406896,1314974272101633756,2285194532603734836,7963174781851084288,6144895844015179104,5860132436845335054,2153637949156361240,7233251352328337952,6608096725634705196,1610254966241936652,447236817523507728,8944339146036935040,3893637125102807768,5954425561825044156,5675701941225678240,3102649316494504384,1906283926081731288,690825015022053996,210821410637221296,351353414074913280,112413860602815618,2248177369252528840,4153604306647747488,1274112753854421684,4806388013647757698,524362914878789568,1966273605450969120,7099538871377005120,5647590589292889876,1386476626270755888,332917153740502240,1997414212021988760,2977493742295023870,5163209343341526264,5394527355908209824,8626885772006832000,4699863386917243088,1052862258291898050,3891528531951462432,2000402408884622856,2008941273829193220,3933906755574073488,2321846839913382672,2832485003284206384,381620976375569112,1675400090116417992,3165099321829462848,6711719306757510528,3981956613870328488,6278192948447615244,6260589732536361432,734992918697255328,1300446784747621392,725704153412392638,2325270770453569920,245518769073127968,861261253653960306,5741486665655669880,2059098984027946176,3103737758795664480,4391896421878592560,7706060327148580128,4638490935259348992,421191939386245140,817407793303057242,923578239986953344,184644198643524832,2769539956527634560,544397528938043952,1366775158957102108,420590190580251264,1401905028081582720,148651133357066632,2132736179032131948,161585298775910052,3394246884688812152,1626772342273517580,8926411444433441604,5231337213519794304,5625850484787464316,244217416354735524,723563312075016432,2713241889586115640,6781973949453545856,1128856912717546826,10031298477806975346,4861825260281931480,2042788750641136872,27577866869518788,2206131343151872320,2983624055915548272,1808578694815582464,8844034274824896,66327310445682720,773784246055027200,2210713918895328000,4422848987052996130,5620897281430752156,659749138627222128,7274621730574862496,450306263923075548,3365543788109495262,9469640295176893128,3204072706683587148,1544617337707944738,4107478136785352602,1325417075339904360,4318592064628468512,1898733921529632726,4780454426686661310,108252818707807872,2164960187077976960,2688102341921615256,8456590857787186608,819777071819401512,6408542292006936672,1041903349975942272,605603495056832118,6055765890195001680,749947000911670188,6546197850280103304,501749374323334524,503150964005320512,2586833985474387360,3958316177562748656,3820011068914042680,3660776255840577664,2865323494770046848,1574462176916829552,3308660870976567972,1001674174117481304,8924998312944226368,5351969704418755584,2047406886789888132,596566894550323032,852200554215573240,626829590297695878,3145635093502086750,5218806645320580320,7963462530743476680,2863512888866651826,2095990719456186608,6566704142287701888,1593447211966980024,801545313776458176,740737383806249892,535901468899685220,9645797816812293120,5148307220299298478,168405489489220260,5893930224242152400,2649945849722796540,3957748307859588660,236781084498668694,1578470419757929680,3015314655026829696,2330981130384844812,3531270087272219418,3762798550821355584,5210899028271263616,1596126875065225164,471239189171227290,7539491977148678080,2884974855673635648,5193524616581625534,3303683412318889080,975444726376139160,5950469133007236672,1360804631106748456,280005109777791864,3266581111024524720,162035243769309856,1482765049468609434,2630574149618815992,8050555241647701376,7390211120274855096,2547287344920830796,6075751753748853918,2397549622996510308,894005463974141184,1117457166975842620,7307292487486091562,1852796465248586832,3347626823861729024,4416476968187501742,810956693577126888,2714512629080389488,137319326695308672,2059698358280861280,285765076798677210,4000533272121173760,625929906077984340,7153166716714791200,9596124445002432174,537561657307101636,7007021283724755712,1769224576074372516,7778436991903495728,6523325221577713776,999533557810767888,2494727345132539920,2945596021714623216,2466049027223470752,6628263534703073736,3089295875972979320,2225765559984704760,9601792923864716064,2198831151776919088,7999460948549907936,6032877735503183472,2122693846613693056,1488958420065029568,3268108465807385004,172617211525621152,3010849675976190120,1206162604202279220,4542206699938213614,6957602612387587440,7474834716741500724,2196364372540240840,2043312488206640076,207852145266389892,4156858128264116480,280400081721270492,3342145253444857008,7535432056397702408,654489395629389756,4641110577713530800,591997053411332648,2140503127270219404,1583739474747685824,2949716312989072060,2272300962564792240,1188593354088123072,1312276069307680400,3104372223890696736,2178049105338108894,1046358223726988976,4347880511323201776,4183171917538937820,2175347913100766580,2319179851557347418,1990182386451890016,4287472424900295424,3081778835878991430,1654184789606264310,4097571036180956224,714852659231735460,614827376323694316,1659287701859655296,1323514785977377236,9407561253298796808,2832994808067608016,175150121842450854,1888483736695712832,4111628665324362840,121435644332194344,647663128509681606,6476343358900880360,556144901377663104,2149367143036835568,5321161377080143776,1017499257262052136,324882187883854128,1624338722452588120,1901695550764978794,3317484515425643136,1777515042367144864,1483664614579019580,2174506845226357644,4169983205946517248,2911690576501305984,2763574659972551340,8343821541479891456,2386499528889489972,232440334027559040,3254019997398585940,1322118279433742976,3722894480790345336,2506362975994583208,3568202806005847674,4304122492036107132,4366464158704142880,7807238331106901376,2385441265169384136,108432501724975322,8674214451744099840,3798653308205744460,7004513138762614144,5483771928322001028,890687565229524840,3306056150973373520,4046575361270565480,108368257261329846,1083634388735293680,1261487615619725340,849574917950788944,5329967832979090884,646485077292762600,992908988071845408,2914667977793018304,4550602814707475232,6934231094256086784,6647944234974331808,2367494059006940490,1028907906056286576,2334357455571551256,3288215621400061248,2661259070276086266,8289193242677887344,866344857786871272,2598038841418179072,8096507279844647850,394227551667007476,3504089080781688960,6139479483918929808,162448584072787026,2528115550566399090,1162086574039430144,1950475622048308620,2096915029700490012,3334282923959070128,4060215127898738220,2324999877794840448,5353888305090672704,5500500148518036750,1870851498221634192,3667471582925518776,3600285759702930870,491089556839513464,876203163738902368,7185769268216992824,607584238660276326,3628783985802347752,1023971212450964736,1134082562272443252,1506600935699003082,550596288897982932,6208400253265336512,2588449411518911424,640633498632504552,7362583691389874550,1787266638916472680,1996932404975382036,7708870127814458778,5733585592838205684,5550863031151960248,3485141864269415280,666196734726190470,1103357536227105354,7829891679319725312,850128390388870312,4089316682217148596,113220165171207528,76001109207063820,303990916339456320,2015176280785296870,679767150115971814,193709740844436096,2905516882915859520,3005604517455324992,3256227149315641776,1945978482355065576,7071015655246092032,370384058027277042,529096549479175740,4126548934215255680,1754370758494414224,4147857766390050216,1939967341634304756,4003288380418871808,2157841925112374784,6697933386494708358,4474630514552652288,4569829221505217184,4602967363224133480,1950591532329574344,2219269286391591504,1084888823887651872,3228070830186825504,1561182425378747892,2223803538013269168,2516441632660041408,496445730495809688,1004779644808299232,1967092962174867324,3475697613568313328,1944068115005377200,6268298325901338348,409776724159706466,2256278906154140424,4149543856194069120,3946119996696214128,1417109423676199356,527251153221283392,1625226001321891008,1436570103033663044,4442671093364896392,1431038219708488896,311044667052424976,6166805462129858364,9063008491702005342,269090730425840204,768796458028938240,3002412707914863132,4915061838852121836,9031091237663690304,36472839405755004,52101738471620820,4167953659425844800,3765105557787099120,4225698595157207920,1957527034263061038,1909363547838987300,634600596970245312,1552202327429714520,6464500237891929024,5244814524903600934,4857622786510242048,2396749939752484224,2305351937247658896,7016809541195466348,4106151683429256,82119380241214320,136859544935562600,1275527570109553530,324182617820481328,6090131930012402976,130244234630323062,567460431034524102,3113076874933980864,4414218762706076736,3051944290262348046,1087796753364862674,440942910064696404,8563452226081594624,2063641438756030518,1410430815208006536,2706078773623460664,471900877833400608,402080743258244316,4020628544731017240,227033797044013992,252248551230638880,1189587170556420272,1497916222491739464,3259649422000198656,1449530563140848144,1720766135565557244,3216671936037287640,7848910257768564300,7485045350139195264,459151731664025004,1001991287221478064,2874231548802095256,4847803587793917360,6400163041812939776,867732677009605944,8459517498673590624,3977485653786216152,863707553991395190,244331897157671508,660045030467997408,1100026103470979880,2988849688163722278,1070795000621185988,704875393322507676,1521352938209298432,1407931293272794422,743669115902532468,1025531011970428608,341408338401305208,322488516582494136,806185417575193740,1706794806086412168,3113109163762364160,4699901160338497050,243550762786033040,487079850908551680,3847981213071148464,4716107404622678790,1093058581270687224,1022614496994068352,2075899246033071888,341728594049906592,5979984283848494640,1539153192305143056,7232772163971641616,1357044205640867208,123341656722959604,5550127564359807720,5541421552145713080,3637725589500359340,4610517446092535010,1365011228667012672,824767139583237880,2158175073567179016,3822906914058926448,5426363111715780992,372115280866352832,391828563758413098,1570935390248369872,853961067792705048,2316692473348004028,6388994596499326944,2650386429527736456,1078554824763309180,3202812523764656608,1931225916058782768,195374632446154968,844433577251731776,5437799383555150944,284368573816781376,2501615027063025104,1817645817139890336,431985253337358336,6305402973406656324,4228916937680770896,4252935702684664560,4464130111363542888,1574984458065567312,341374432494109914,116922273013853872,2046048713805141360,1411453752844230216,3248331021974858848,4409546510155086432,698595795988164048,2013730316663010888,62406288730084524,1560087781156511400,5421945253428223488,1026307218220954704,4216414767946419906,965947005934628720,1987754359615386120,1303005643782029244,7802159049402056240,2668529489250827592,226393635454941024,1940430506351035680,1018514009954569068,1295174877599132352,4203723498133792272,1081808150839846092,7830424028783226912,927994731738069072,840657923830622208,6167338877057251278,3176932070524550994,5616243179863837416,4223849193993179880,2775569388044499256,2574431103766679256,7204103251497085920,1040739282371023536,2278482599696178564,2859470449331870484,1690688077915998560,60797698267215492,1823849761689754740,4365397334357799760,8238861454480247616,3047472283522861728,596165176137275118,5299010126872508640,4364581351163736480,2859691449633214596,5447620555800980832,1541898952490198916,2427509188638518864,2149646198657257440,6644401534822796724,5783593281632060616,1791152042119034880,107191152899344248,2143727626745913040,6118843945878130896,1012972835547367488,1591722437501086704,5301812861171937168,2196682865001198420,7222845410150085464,2570707323902067924,355540755007038642,715986384240242094,877776829550378640,3900269306433539088,973252397560397970,3557732277041748048,310024478281085568,2066737845923703680,3729381130025169960,4138089262778148540,4861860476536542852,981678709092495744,4882238108224668360,7396260882133663232,3246393011957617152,1486579804265485464,6430574562122801728,2132671033393871586,5022911415355776576,2554567225578627424,863162116164995850,1798841675930649084,947040926952968832,2843306825898397608,321043201418153052,4006368614618258992,307127705839448496,3838925404354480800,2104606285922539256,1170393222838519404,1655961499305887400,4414674193173061248,7701085019338776702,3196390433585717106,5752048177993490016,3966191130646590048,1320266874102271110,2178835651345529484,960308048052334512,6954945629767016112,24242224421799594,26934605652232740,808002193205062800,1458879480730137408,3592451784871675776,307610768225181024,6920934125220221760,7489865359013802408,1540735745504534964,9758893719567827952,914653214215128036,1286233993870297152,9084585959763924852,1000690811778129012,1129640592181808256,801478166193894360,465824433896786412,987729379113723264,1186917352745584572,1080301970791682640,5289394462480004370,1310200285999201828,1038056458342569480,3662146385346420576,1341994057117026976,1150068983967438228,476834749465371480,1435977240077397504,6233899417135978302,1565620811632782240,3707304977734369152,3157969845968747376,309075922950077448,2060414402088899040,1152414363483856836,3213193877203249152,3790841853967849616,1324653486300275184,99999684706230144,624970198662044400,296474864755778628,761420128831302732,3515984691931826044,3699666194548322592,3951481666140031860,6470995681574705820,1744671087910492608,4055357170481525232,1133236157892595910,127919280106041792,5116543348366525440,889855378691742480,448436975808961260,1793668024622144880,641020466718173696,4514113136284886196,3672043826868875304,1847197125062309190,5879038775065467660,7198775414655574680,2642554687411719822,2365286800756565790,2296621538453787552,4318811023000682784,3569248418426657928,238703242073662344,465452794001247180,2792592393130077120,1012061616293385168,5273445993368417856,5453157251525567400,5023406482972081020,1310930833032304974,3208458883925941902,2118831828244913952,897117520604728256,257572909027622232,6009766883095111920,6205547730182632832,601096875845729256,3339278362774128600,321733555977463344,1608596135472062880,1729222720178358480,639276844440588056,997358333500328628,2355993484965740736,393002209893906580,3791774667519947484,4115567081143470150,1072777751553213896,7736462898213889152,4386777738480635160,7558698433183399782,7253195144204497536,1097890222146839328,1093593618458272984,1072307331948815136,833347450047648492,2567233470715378944,8318343514089227850,1811695380268280592,403794769997071488,1484171597949602328,276485647289848536,5110269066816924852,1486034708127328800,6072765387176313792,9006500744380420632,978984922116319536,250916861310143808,625436504494883664,930802462006584588,2092152946367425056,1676118281815869344,896188093791532272,712335039437055312,1365764860912336108,1690909292681318976,219921020183731176,25577661930010036,255765226276863240,1096087858798442400,2164296364712066544,2829592906074956286,4744413510222041640,5671343646142316544,1513626853006986552,655845965327194752,5358608718971449050,3366310262569931664,4410365893742140992,3837136192627735120,3274105842621816444,2079593878344819984,3671800802148963092,857407859457277764,2686228075897212114,894500656635003320,1384242314294118096,680787251155460448,1023087372132954402,120177637710242112,2804019965302079160,6443062059768875046,3477569171533228944,940193787950738820,4705101861310792640,1277796029650698048,3628542670257991320,2406779869115689856,5711385514910196744,4370403897175082742,1885285880514221328,2301134650234101024,8761206543612488064,8698311673738460592,9082019596324836834,1139154018585057360,86559173533365856,7789978565713084320,4925318970666295710,3254343646215004536,6906711526100529024,36448007462672652,485951782750894880,4859301335533075200,2983450435978772100,979426151452062780,2577851063093987460,1548650506452662592,381207829067015160,2287145075153083740,1052634784940065548,1340108546488570944,389961597189665952,1433740206384608262,3812655112310070136,6948371321499949416,56134692761373936,2245287673233213520,556873407867028920,1784520711389397744,1569526938726911872,925291113699443430,3779723562756744870,6944507706527555472,70165471834352376,6314611114031023980,899523779429539896,721040928421061376,537094194419191980,6444843175345055640,6254092409602713774,905448550026650520,2866995681807999616,1206114720497599392,3362729292120145860,1212235113474803160,1264976837071568940,3079740416075906832,561824721112475352,621545811557207928,6441647958870530112,3170393637335035888,773057318929597080,2715086093355403776,1208089291749601088,3749493378726425682,4428812123069248170,221074902937498544,96299701238037888,481477051895718960,441794490211420952,101658137035864392,677690715811620240,218339694999761436,363883276987886340,719660197603222488,1277784889625514336,6051725952187476528,1753876212234364218,1279686763022903552,9123008635558767384,2116327616149406814,7541806294587140712,6583592475226477908,1519450195501490688,7295069903779929516,4125539375851886874,3883969626036576120,5191939034185612340,4424226618123507888,137908143305920620,3447549950354143000,2052464129267887584,1155275732146087824,1760042144563324370,1952062067100893952,512239445985028512,3018650298962079264,497662979006453238,609293638943360856,2536060627537842240,4407312844408290450,487030333859231832,2435043152580937440,3329909181238074036,1563417100433001168,1268108706985317468,3533255206641678960,918161865159473232,3060403162080241560,2657882229640695834,1569662085284240112,6071720762587338712,5179083559435907910,538264283693924646,7128809435095257224,3284942215099032288,377063639146427742,2987428226931301188,2462405643216145344,5615625166204526880,3799730783607395584,1160434157252427288,1192213947024989016,2031958387878040160,717612404636471292,5064080579979696864,4388665688817092800,53992206223549848,539897999753058120,4150616512328239328,4512594543805699296,1137726662225798880,2418003135821672718,2145562400334474990,3062545215278389992,1194632550433629876,712137350747277282,2327040898717870464,1104517767492576780,2885437048669012488,5115950474798262564,898385547736473478,266336681531878368,3872525126799599424,1446809912216425536,464508309213590952,1435469207427424080,5536131675422806016,767530982965707768,1139168381178443748,2243981921366047320,2518372220692114944,8725648240213899588,981886949347695992,84586944064947060,845831739687291600,4821023959474400432,2907268020634110450,739923605623592640,3464077444824251232,6381635679791552844,3348514279740148344,3000921117856868528,7761969194501102592,3973816823748791616,1099114022264357616,2282851797170932032,4736094697773319104,1176406414827529020,528148233180252468,6049213889771247012,1149933849876630144,6626297918240758128,4658895381506247546,126747707180309248,358764664208689656,4940275325324280018,3177444594465404976,7551471323476234368,5153150057940799488,5007240944668872408,2923194330722503272,7033205501143238304,1806950087655123132,4600154959021146390,998945968135222008,3866926180328628096,6043846115845303920,1715739095918948796,6162469068978069984,1615083666776067840,9499484828829206952,4617517175463150444,341439226544669352,5974920111832268520,2777217079022560368,4486527632474639136,346101596268195420,5148060358253291072,6002486232670561320,1111301102155811910,244736175267794640,1468351593034234560,4380503211624315648,84443708498930220,2533198324805022600,1924403584048235424,1859381178898800656,4839844218474893376,3087917063966824650,3719243992661089700,920394931614745344,2054311261810501632,5535336120614189512,1216929548490884064,2609965435797101088,11085222970866032,332541863802059040,89875312133955216,449356527403657760,449801085742599096,3748175278500491400,3925801471324838144,341222242663903968,853017576707883240,5040251804196023470,1549738237798495380,7426402381796207616,1796472848451112176,5047783153402149270,1270701509046250680,5839052044252289632,1573654723629068592,271322174297568798,2170960856365798784,4501968081827400,135053021171713500,150052222375035000,3323748404331940992,6297795463075241748,2221304992208644188,9031212350026204572,2439839805794590716,541322383180919168,3222588586809381336,1959298230345517884,34655684235418936,2772331131199235520,846999896288522808,6197703237130880628,5124481792838535708,2174594567943695040,2198010072559461248,73473157497628350,4408192900978272000,5050033553094911568,827532625786268718,1372961900396097924,1081155407061630432,1407106100534147136,531678494643978348,3924195955607834944,1709161917822212832,1668371978695832280,5517328309896416904,4270105726383548700,614726865801250464,5103494000725817480,3945808648699215120,2761633945367974314,1802931236968874752,1388487192593021568,1105167294527697990,392815293407361792,3055093833109355520,62863571410320384,1885823052868064160,2930084337052854036,114187171970436336,1141820805071119920,1639985894660244276,5572833725776906962,1554919754686764600,194568000332713608,4314147564659965890,4195608888199306104,1489099875037612992,1898907967576419552,833551471519750432,4544919349179000516,1079683314945493968,4218077494699470144,5623279019408462958,4109332808477455542,946390599531619648,805621881615829344,7454243115637939152,660298405076138708,330484922483302872,175747877104672152,195266711340718780,870636794798254734,457377454264023072,3557221568677962640,1508648874564532464,7366844519726288436,6306207877255696608,2175822152880409824,5669805728748644208,1593592313845217408,2382255168485052816,5081059199655345564,4619138484314618496,1029358843496385264,410649944400142776,4859450881104657240,1068710233532177892,8604736269437483406,1822810070798608384,465042930234681744,2608914116214941376,108366594618450612,1444823493796376640,1450133063917750368,6888036729681867312,612721098279074862,2625830459062881840,641171199526641888,8548568081468088960,1919791085184201444,3816671854201966496,6280961610594644064,1972882511151101568,140369349455397606,3743015719557131520,1072034934377881536,997568821451822346,253374484255851294,3378175793582899680,5305702300588373376,1615501863125017632,939272304381244614,6020558040657128064,1045850108907058344,6652803607652999898,1825480917975138336,2444021403508385760,2844604053993071520,2033956056235965610,746262534127337496,7878426056787331584,131792800912610396,238383981432196446,674577858764191104,89714650057683576,4485532442320756800,3026909661277579488,877445166738371686,348481548700349328,663181748820347148,941524727411132688,2450429332998348570,2338497952865552736,451205259568279480,1373545190727213084,6182822562099589266,806873578090800768,1876661354761866072,2259500351561414316,9533965281753276612,1770503220751277304,1117772120255943360,313596130130349968,7055598221879614920,580436232338106672,2981179325824817024,5895802942386613704,606798571069401570,1217779714969507116,1374210787154644440,592023040215856656,2647584577097353750,6879360430530768768,250551948078216312,174758229716133438,1339213591137122316,686017303106123952,917136838722422304,1859069749547525232,1346584221181303488,3027490070373939640,5999980371208348140,1004905993065070680,7457674832497355152,4211750066017160304,4992922401232513392,1124200527493274770,528608368409486706,5860542693822555456,288454718846898608,5047732413821356140,747953379895088004,7117020206629596872,2840556656546436096,3835010377070132868,3090370346411868102,2435119878568576224,4219959867204339720,2288796492860605856,2366103782784617190,149908873271748084,844747375181007088,4968740096207394390,2232610024620700674,1965353651495571456,230375265873884820,1842919915298370480,603308138873165248,3455128248813423072,136615594396240320,546438000983720480,579732115923447228,2082312765314847000,3744895066864117008,5275396582065853068,28788853292527482,82250197303610160,3289861128401337600,1769293893749892084,239802726618914404,985792978989972864,2190975060333492216,8806901817817824588,732769439239873182,1046766786436221720,3938679850745785760,348871412905573878,1049432192373491352,3309313636849550176,1704652781891997888,5178365700269367870,4755764923819218162,685370019690829152,402720433179737904,938447963259977378,3919648353640241220,628335593020667136,8925271298605375488,970691149279402344,830911276348416648,2480109622373789024,826353971319452400,5923246495477577136,7647447792082131712,7697634941724913152,8202552198514628352,2329327823535175624,2254272582175399350,1896944064324270984,4133105647170281952,3981767150063924892,1142919382177990224,7475213292837588144,7077129008305749372,2755095857488932048,1550802938734585998,538515994251233664,4711804727289085440,1149463968465319696,2177399302735160268,4073827413499193040,4416301636195241716,2820328845604135650,6490255672118772576,5373652787532814284,1807698651374601000,1315480214218700340,408633361860870408,1443077896886759520,5914024792094563968,4760833627380358940,6544390669598208504,6864894096996399552,229903764487711456,381600008293789890,4578995792013740280,479826905922855072,759059067573250056,1536687806403507312,2543597704905049674,7746069911986095648,214749125211494208,1878971007234641180,1616073482824839324,139962846147055200,1866088017717176000,187359735175361628,6407908049563515408,3515301354864933396,5123417866611248064,1769103301729987416,266451071434424712,3638738800762927344,8181123551689557024,1536627541263518352,1666586735721282384,6623195378565172704,4645783347677097072,477268002871926876,242331270182061096,838193902918194048,4551008412035055096,140609196969884712,4921102304824714680,599560443111928968,637015988562367920,2023587639070877140,1893479131716524616,447403666989572976,1691508071403999648,807944436418919778,5214984419291248242,1312563244554708900,89888806060394736,2696543853104030760,2511538100695130304,4861475833642953360,413516586388902420,3307985076231785840,6181034194759646448,2063863042805128284,1361521448339323392,441882555070109526,135413309976408516,1133266765558190752,4149744500450104416,2459848295346736620,5096211691697468672,8137247812194471840,1609355839625695656,23866830837618420,596644145451346500,982889941291323648,1107620961539930908,511966776934887318,2515551767380542636,3574076357161425232,3363409544755794912,4740238922129320698,7892313024451093856,1645177455526730664,1261563826144063968,1032616299100131826,3485328188668192830,4412325846349590144,499188194148674760,5347629963070867386,1779774501266811270,1168535698088636640,494607339863002740,3338976312470181060,2347693763652504036,939188836519766544,2927749432700639232,8769079619641857186,478021539631240008,1006180020479984832,753954392546343664,1631338559239585788,5381877395626021968,312823542646411808,990116911505188368,280251508308811974,2658407693599081312,465289156619652096,377489345089987152,818611547606400514,2114482204191394206,3180130656486664320,7118567047136293840,1103772187655600484,352104427241266260,3459893837223598280,1017952323412403808,816056734020608952,4773656089143832562,2866919292252325968,890737008024824328,2530799238618163884,3697856725890543066,5425777050279711264,498272444023586872,3552749326817705520,3487696122074817420,3974072148983330856,1351068938138945280,1218905682183964194,2020399103831414958,2297053755355389408,78395579387332524,7055287249486605660,2561609173285095066,913487707914511176,2081654881495482832,1677655075013817672,2748962947476390678,4993867004683280896,8151197891077912140,3112061997077616312,4589131836748168560,3844864823783696064,21301524511261056,53251434455949160,1597471732006729200,2113816994446981824,6766078887865005324,574142256540086454,1913722103685968820,9405376078757126580,2548905068426585976,2058783034072986252,2775985090530615624,1620896931640801728,491341492495854420,4211310533725894200,4960323623579817504,5209708834430114760,303785027671821696,905167874868748668,1825138800615391884,949736641111914592,3871589680673760768,3449633375081089584,1675820042025185320,5948396736266863224,1600446607868475960,15360841102813910,153601554734217900,2457515179656345600,4701284266502520280,1753058758966129008,2156972662836056448,2387832463318420728,521909285782637088,7654489649202141696,3131904220175999952,850461249975252696,4186585565238014928,6146694548766736202,516810228220003608,1360446334438456008,1917310600920419712,608629384890017052,6845410344199130550,601661363996991424,3512777165599994784,393027345166329468,735415866936067638,321583768938194928,21297192326033664,851849666875879760,606274352026740,8487462050151840,96995236432838400,727431800703336000,1034728676987342526,2068257626624471420,3772296831026942112,5492104921790396712,3192547079833347720,5317139101450490400,4222978810343881104,1958689016001560588,1510629408735021162,238185539776873728,2679467707750429440,7641638562411499212,9384518222317662858,1703421405019015312,41557015443054888,296822573900206200,5342567827773682800,4321729905746174460,1710660368712957840,396264189875045796,3962465004961577160,890861113489205376,3791100078830483964,3065643309184801686,5183914188472500336,597867399026379168,5978407096037629440,3550347690998134086,5285716864518644554,869845119771325248,48337394594867736,241676183681362940,871996348646499636,3122524585015034592,3291008126553315864,1403870323108325562,2568846335648073336,241531438247002112,2415206557090913280,1787098386888411432,1736702573351189856,273880991538332208,6390271176750545280,2515089427731110208,8777863791218529270,1722141418532728968,1702149930276601368,24217014607505016,242159334755582640,1188438528199806624,2540048738634090288,9422520050730511998,2731768140065080902,609502192889359392,1569992409346914360,2914018778883305142,8794173637963486098,1931321812862977956,178361049093300224,1783530862186529280,211962918272787192,2119534552065367360,2086112264200854408,3505514793340912344,1086328058083567536,5335562246450164344,1242456285302523600,3621325314109722120,2250447082137075408,1278670422994869120,103649029898747872,259111005959350440,1406397233239669836,1996111686073945392,383188181533467264,4789638419326039800,61351336376185692,306742986221333040,8510994364940060472,1940219215582586128,925167194743666572,2406025628907652620,2846702077646335920,1951333665180192150,5046336442705964658,5920869739324736896,7244758689789063996,4028539688405283870,1903020922987239174,4166628158347765200,4369491527347596960,2056078334354565536,2248410343390121460,256207049356592256,2651066004986460336,1069271104196588832,3610388561530006170,4304856637428492480,521585028764368128,244085097845652318,963594389291581848,261312311152836096,653251609329191760,87222253793864662,5233101561577284840,2206472414999512176,665100881744104896,1029235740008457366,2876143728699379278,7444438942676416192,4153712182815642120,1784585237645275116,4040044026556560012,1512657313841408256,2416581766785501216,6802154567271186192,120771494339264208,2113406781161376960,1802353410856160176,3242272808269990224,328250882705633190,282736619722581792,2827239951232788480,2504878333953386454,3218618226554132592,4236621933726891720,40742982223481448,135803876563458840,2263296877309626000,2342316309663436416,6488464984377461888,1404154071593143956,670904366627334456,718950235225058688,2940685513908637068,5132203699293415170,2965285417173422904,20175074346368196,537977959105424640,5379539366580260800,753678599828587656,1189448242544588304,3290220751965660300,1168566354459157320,1773157443240724128,505293121931045080,6063246703217983680,5283077219311628286,1164618097091175060,1606655828114496720,477665039485779180,4094088939543520200,2875755419657359416,5072798982183129504,1750467512459168800,658522901868497148,605459307735911310,922719254498475216,2403829775596132620,4636083921917858976,1020328305626412420,5243141581775307216,2267544655140021504,1441429269376763096,866338825731474108,628193996598730752,6223399467136740744,2587244438600151642,513876251711444436,3281663314754144540,448493029294461696,777182130312080328,1911004458239029808,276002948079499488,1942063859795418648,815311862802550008,1815665741860825404,4568529168536625360,5503625747947498496,4886866109214954612,598578729834622680,2642606049714444384,902763656061208920,2248786008093418182,524946268879895330,3149536955284797480,4982993095061849280,2787458301526930764,423093942861049116,16953256969029504,423812496591793600,2542761418565332800,160382397782748240,962251411879834560,372268015142994936,3308901245006706720,3880905059316093288,410213519036635968,8962485486892726356,1847992383013575128,1997872492194833460,2491673370859824876,5523098300689777632,5358382761430398084,2434136754856202154,594846680543656576,1348728740137801800,830042065372296672,1972011083113622284,2575864705883286804,1031811101952070128,6584884056416996092,8736111966367822392,216418663474282896,55308853734240336,3318383015561417760,776728286114410710,4324320509202087408,2351108465115124224,5460596884981340190,3982593150565647450,2932018683328308840,1187411945498609400,5335683533744294960,691576041453389136,2072754052788187188,4266468700286151040,102327907181003568,1023233369981505120,1497433781137536384,556864838294296380,240358517378657976,5407825103123771340,6668506963085848380,314795262027624624,699513783080513720,3036128109164352018,1493807064211320936,191750086353257936,2465248142334821040,3163542578710027380,72752005187273736,242495852764315680,1616566813544008800,5692975400415283408,2394933579340853184,5513063822141557572,861164627453683550,1133619843145229352,836538414924871068,6972941024578772992,4383479840574202434,1319810838197515128,2267409880901292672,4374712278725467536,8784831529451994372,866272210307232798,6261680499093926016,1381522676429812104,1978879642366579260,7208127274930760826,3217080561346571040,605393711158125280,1427830528981087386,3740582938452190866,417468078943588100,5844292053807127200,4926664440252447210,3476103155743062834,4947275020320847368,3026721774558316032,1226994469495424148,8939131118233456734,2336915938148034780,1869393196406747328,1868749235885650368,465765351143438136,3162139901010205248,2181323190766738032,5066845249697452980,6044900732402159538,3679349649195993696,3737618686619171712,2803382939777040876,4676998263103452120,3780646237708586496,5215759251090716960,2917284917632764102,1859528637181835802,2218488384260063744,1751316631928780400,2451569107724468424,3265868626132822248,1619141112234514176,740936155808728236,384659239345153542,4945397877997550820,1695376096860109860,320973715823171648,467268984094372752,584060139623707140,1766503276965626760,1273619465618171160,465979907990133768,2662623388608253120,2133478483099412688,1216316010739776696,8137317121234948782,1282553652710938584,451704587401379712,396659906252670140,5552990624875839180,583992644264969742,1181947591751942600,3305083264837675200,2184026681699905896,3062110118387354244,760620581052142824,2074709038235514144,988712765808222192,1491404766213084144,778034546525163396,248447494178750304,4347636926214900780,1929038359664842380,1213073317517595072,8753126682032528436,1134093637345415256,2211111206106620304,108492711726101904,2169757303633601280,1842858781254700284,2695048334399421450,2963429878416381360,2048474326905955740,1607098693304974464,567273045789676050,257645728591730868,6011465109035754480,398530307700593328,1888179096879532556,9277034240096352,231915495253948200,2319051349479143000,2668517810004866832,1271878928838854160,2236301348198255040,839466881865727632,2807605133198021232,3651951252909074640,9139933042280327592,5787253516303191888,946277427902159376,157867122202027380,2210040975651269040,82491057345404844,274957907160336840,654102238274435712,637372491556524460,227104641616975038,1055230633280365056,4266896143544649384,1653035749445064192,4665180335557062690,5706891206321022744,256010433960779496,4266649945906297800,1397216459267973432,505231111012065714,4318117323382688760,1815094367723384608,2494161304032713340,5601394092197854608,673135441063603728,1349292193060854384,930301127108947656,5036445435470926740,4562384144100692868,711699718227581952,2231446891196318048,4871873806003413132,2040549760935970992,4179869287231375168,2077520403566475552,969411998223409602,1934671858152688564,4026314831821843968,432582420599698356,140722921392493696,2526902561424691296,471298954989293244,4227454774806865888,484939210471601130,3771580904081562600,473997252727697520,1068040798967329956,442799128959238440,61141965290923656,4279746353515564680,6195598082314582830,3881032810789041952,2005788622523673888,3297812519646446208,7884025755330505616,2671665187815527292,2437611465131124768,3087821319897954440,8538034287512601450,157296012057649212,7078004294545019880,2190815365092342144,1757220359446132350,419991143100914112,77950252110639744,1364068464250393440,8132548472419963842,3382046801034523860,989115185651431632,3830262514505334080,2080381376901408876,1331802472908965976,1562405568216692736,2724842404913457708,725664398067924732,989046436597173108,4405792617122807628,5021082827237158752,906221683928816876,5655526858395533376,4819316229908464608,2165927681785525908,954122927112326664,1002769057351161198,3495038612714629596,3003863581721472096,1005486828027498630,3867592636865168456,1092394326452725056,2572316331851809152,1339433732573213664,630418283473928418,206932728121492320,413846964281768960,8058457881752224656,4760766324563678814,2157581790239265152,1585053806050049940,5023336881919330842,2745956250189980952,1611486589299700608,3014973773217792864,702283469062740114,1780528402954861224,2285562400080949440,3585017337485872608,6831003780961408752,387896706719819064,3585561494936919344,1859472139470579936,5900382275090511780,3134115685001385574,2446621459537488768,972593173807453752,2727640071099610448,1406784002971721970,2912699363657331264,4103600908027159616,2627036767825552242,3748016004664762908,7258537971157016208,4936346963426285460,3928518030108169008,5188382609863774748,579082182775081140,695388667652872128,934091135160994384,125440380255522834,212272951662662616,308625553080905984,2314588218401511360,2195007946052557122,69438978399702204,1620170430003725040,2077513847764377012,449495571970395112,655890983617319424,1793995179804791892,2315011418630468370,3403367784559223184,263864937332259576,3518041954205236480,926654389041934464,467558710250837304,1020116224681745472,3740877079838002368,7153154178300825408,4238106128878275930,1320140705410429992,1276980255162977832,645450602148950444,5532186512487147120,5353417895213786112,4757392493926625024,5937207646818082320,270900017083052532,1254671179782381072,57448071155708928,287227520114173560,1581764718898354136,5827345015648254168,555860222028144,5558353826105520,74108072568182400,370523804653728000,926268117947040000,1879626148294442208,212209208219080836,353666208748075840,2080010494665990660,3118417771372473582,4134368858911987768,975209386440536676,2350952858955442464,6386199141695767856,703173025776004686,1584728255483502336,3868311493666857288,1250420505810331536,9071750174305896,226783619448262800,907093939900579200,2639099383606689192,5862809237824625922,1385598031587405120,2768898148034366304,4114030005690651288,3722547537258104664,5037730707259808700,2165605981261645728,1966428664420495536,1438192134259827066,3824187621180692256,973331866706488632,351406091403282234,1191076724386785102,5973375181203421068,1998712483944877008,858312630777709752,1175050191719953962,5603339155982859648,1467292624653231832,65694004415539338,656910685867831620,3038071291506201816,1819987699576100208,522968609092142256,112321053904885650,2995094247972336000,628771711174628652,462855635180217024,3471262126153195680,2377305395601035280,1504755774552558160,256899396488485398,1971266916958564704,2328023273120377536,2470808644568429940,3159312994672146576,4431068956862172226,309059741941825104,7211071696231656960,5770271301902950596,1944233870532643158,2808501117360940032,6364276695959929024,4846401729191290842,6284462706762897096,6820690304922788664,2848792873827115512,159531698729509722,4785737070938268060,524134846868830080,1092328227612161424,1969194701078176224,1364264887429402992,2095362221936258268,3676874531374218752,2688172554169525104,1329654945431583264,853490445279529376,239917223844267264,813765609234414570,3544352587107324996,1447113453378432120,8123212740844779264,2472646916650718346,2957861847920081634,4775276262887069616,1110150044601323220,1182217006951463268,8405200656308017782,23698822887324072,1066399367290493760,743058722118591270,1799495407380320872,2124084016422581472,2590368848634788712,864677319925934020,4159712423884319964,2150610982478015904,4764934106151017840,1447354171021619322,5158748279140424730,2985574002865386048,630041085485632692,602854182446573736,6889454155005774720,2614643230190409984,161570918417870352,4061079668241840006,4992806576563684560,28388232370328544,1135478543168717440,6911768104201329732,1730558495366654424,1668442855380698088,818583723774350904,2819050591116155706,565731237265247662,1616302720184639040,1672672113347718312,167133451221184184,6685039248209269440,231736840987487616,1544843223320903680,1442020287558409758,1335468946086441432,1407438868290665328,1105676373909148992,2487430471741266870,3148456211416064598,1798667077933906680,987833946517200816,3205834849275003184,3095778291867064584,3493973606117844192,5125393623611515056,1879077937905619416,2463976887976614672,1978381757760630200,585025810126870512,2039948373333062790,4170492824237396552,1576057844103977520,4500216964822533612,1579805857484757056,1135327357933037208,4292010943387891380,942611545260571536,163995063621171336,1229908001858251020,6992216075280189264,3434915715418758420,4013007235583627664,1462901293536399684,742695994400634432,386919667788451776,3604993274708392104,1492682864071149384,461764886901653232,727413689223637248,1075338805849157484,3396431654627674866,719882445571493416,6005165197599714528,2848456409375593368,2771204800132633872,974522051026833408,1349952608954646468,368803003477809772,2359500990784244376,3677015191459901700,879932741192084944,1122328701272922570,179599683949358976,763484018334178008,3262353217793925024,3922953988719355752,3614097549577375322,7629525286188300,137325316632728400,305153729733666000,2467954497968016030,807434706106586016,849865164840222996,242502542536523484,1805334894453437340,3604101885760846316,4084622944160792064,8325189305433178398,5975235581569442184,4038186509827856496,3240721285899339456,1457698721260677660,2930217001801574208,4544621109520152672,1046406365641460080,74709212486423130,5976469840931805600,1505847393833716416,1341223754798112768,1036837880820429048,2174460200031860148,4774633836233295708,747181253691428400,2779480416525147228,2541243741082134780,7667464778098509312,611412227860177512,5971171328231280336,674140379122627362,3338805578979133824,410795225333174040,9141548850974811798,1762228372162555684,1132085063016923328,2029846856449989360,6666842735729364468,499170901904053092,1739740385008373184,227725089694219392,1732203929472801504,837012994316401056,47999335332475992,1119934426501597560,3987950488387268886,1092819467836305020,1568377953951255900,326531274853775544,2332261988851668700,2723629868581475760,893278680630431040,8260667103624625008,940034587378758432,662532816889769010,2658052780177990932,5364105633345212928,6328576973325660912,5979841758952178348,612768771919689408,8038661864794425408,1566717125599148852,1883460316165397046,408504772725474816,8169730232720855040,7590745317352475376,1578909110807646702,1578028923936444416,4716894912221951820,1205128198585251234,5540462068375885744,5261774157996082608,314289209084708352,281172896435772110,2811603272156336700,4312980493518751560,677182182172103416,1798766417735428428,7673172288630175890,2671750751037695496,7291560263363511168,7090191060498480576,5714472949333755552,894277485829840320,760141814051811708,1612270795295419624,7566184059405764496,1221297526133222904,4029022191038629056,4095874195514102610,2984940892156797378,5578040670338966848,2413338430062727728,848664998895745278,1579691142870617064,3462273526174371216,1893868315688039400,584790714160073344,3907994614667201286,1851573365234455296,2073339150129595968,4828086975796658892,907084080637871400,1063442973385087440,503737494404878272,5756742572459609280,21751243745046090,43500542730199920,3914873824949881200,1204635668438393560,2484204552833527692,3739414801514332896,1697617028337536112,3140796175888485780,797211296752858320,4982347858992032000,5057372944905285732,36774762313322682,3309580646345834820,4775768838525291552,4180232274492848400,294043261108166344,3992065468589441574,329262581219790096,1064953621859060220,230735636431735248,769084404238397280,505992124404542892,4772226881561903280,2153397911828549274,4094815589336164704,4004033367294638784,774475816451473044,3370984511823752268,487870582108040550,4647135486056263632,3379569873003604608,1508600690651618550,7400235326222428128,35220407658198224,1584847488895118280,5881174591994607312,171447838587235202,2755109370307070256,733994238965825568,965312366787936396,583295173203235914,2116457894615793120,902173318728486384,4911212101433264064,5039316249381510030,5956042393896272412,1226228816231751552,4060412232508730832,7395964492005046576,113241435636254832,1132363729510108560,4311029294684754530,1266535562249660796,1098292057507054368,1563398143067335104,3717443778556556136,70412011758203514,6336797744231871840,3570400255383186912,6558054070845919896,915270704152775344,1075614584957174484,1023571141260490944,4770099179208115046,6010201644501097512,2126621992148189376,779359173116802960,6468427833233451498,111814219832187510,1565329091954080040,751439086160260032,2563341533733396978,703847302492366584,3130079572603142208,751251039283083504,2053310956860136146,4206227769840687696,1734629887047700368,3379549936635313728,5863290396175096896,489610098511588854,1216703793716841552,2896295423498942580,3980078905168520478,2954035141147764468,1694698056591179616,500625039598657344,6436319879553325920,8091326725535337504,8140693739148850608,6873879226419173056,3660793968177416952,6986353375941680034,772520736162237012,1691291439112180608,2090178604164738600,774200976872396710,664601055893756352,1661428355286717360,248975090325336848,1776641351824084752,876573004567389360,6573775067297943336,291301561716005052,2169429778745074890,1243107543091030080,2205866651634758760,1287430863487305984,453934913573357802,1472161693454668044,4089282122307576480,2741307737339592,9137283913398960,121825005158361600,2436391167528832000,5006224527567824340,6511417251689014992,2955509314835588124,3924032866846810992,3268282661497320384,4078776858822763208,4001872190305657536,7277635151305743204,3736322833211235784,582418697365614648,1303153703730331452,514891734954851968,3187992715943173848,823133465614644600,74564454716963680,149122241798150880,3758661563156239248,4291051437232174692,16863442056623736,192716435200861440,722654320137973200,1466202135993398448,602194166731736832,2749965615870443340,7987838902230274272,7165286024085333234,815007458199956732,6023785186134795168,2556648526117391046,1423776532758921296,497230379722299432,3558113131965501216,5841150317333576896,157282208055282366,1104500708930281176,419977750320033160,589745643608944620,795370126646621670,3992451580684393456,3009404151022424100,6421806062603015490,7084994582568769636,6578182595382771492,1296996755046809472,364422541708360608,973439436650188470,8341540431626680344,710306360336326368,4439216257615763100,719497998560243784,112514236308597816,1125092055750697440,1053613454843095740,678630649782982760,3384557719194769440,651550966036235664,1592920172076420784,4618824886853182110,250299157987726608,5005759330861679360,705125194632392220,3127337476179866928,6810586651365909696,2156523851066747184,4829808719091446046,812324577278375970,2008628767085161536,3486896657821677024,716478716974317070,160637606219670030,321260847363672480,312042663582449736,3248247668095670724,2559096673222350960,1284248534265734796,3674220462227605536,47625868801386504,158745797697135920,793693498506811200,5652004672726834212,6615694872888447206,1426693252282719870,2449895671572058944,118859390472983424,792360505943871360,7701086138133030192,3701957238224742912,1664688416802333768,3209580578533624470,2051723055218339888,314653709465007840,786599100549950400,7033958316316153296,1299105138663028488,1554526706785897152,832977730524212332,751979431790124912,1724467550049491508,2887621613641575984,2969314092687376128,1802961558407501388,2909712211291993296,3251866363438808736,1996476706613459160,1652253448002057084,4314594271598308368,140239642688965224,2103500580271664640,3634292329719619632,2845937218995357912,998036527456824408,1653947838893502648,6503036608615976712,748667314224190242,263097142734460140,1578512271288384720,888197759979768150,3797975022838045770,3352167252387979872,5054529056470669944,730379912047997106,214511761706569008,804383137236268920,3889563275729664576,767796468531065496,7107645140415869778,782846367334539672,4999734185633906796,257492186075326194,2574806723950196340,7456571690115308472,156030797591692768,1088397683977925628,1085326250664864510,569746892269944784,3088493927941271700,570960304930022952,4078105532013137200,148559672567481120,297106059447037440,8456182318996306092,1527978350701487844,3607425090474228576,528747531863004300,1510639682409693000,2668310002466093988,2312222905933746864,4037291193022921560,7736259818015036208,3727407062342195694,1739637572754936960,454732407866829312,3892770583457108288,4832416760242344912,948385532629027236,696953670684204832,3518111063738850864,2364778685739630972,3001750699321357416,2325513652571205792,7017808256443537344,1962260611522115904,452512575148801464,3264770564523922944,4843226117233958336,7848448883263814640,5437281802136034432,3547978632476951920,7064466672762475956,8661658969171069218,3463641837012274652,3563050054849798656,6347501307369473856,2504321367362475078,2108709620444586096,944192187139725864,105039807993665838,109062615443723802,2908206362332635840,2373506915676969056,6913580227010871120,2655322273720558740,966224000012120960,3492019971523975824,3355240124627624376,1671908555908096872,2277635576914244376,4472766649672531632,6408678364637697204,202614112069109892,1350700345924770240,2019077827133377608,2925254518525116738,1261934626652199324,153355205315345312,3833708694941822400,1150248570983415684,685533453351608050,5437299892111502016,3381125164626434580,3421103366273380920,6115562215935843168,2770316246383073940,476291418151658400,1423215413843364504,26662265286007338,1866275112361900240,1922139159708185064,1325162507523443472,2476055399388591726,4356277750752412608,1383547667647797696,2867784497471484616,165159350378229852,825759824708050560,1113185296134082864,2889817738383840930,2155359308274064530,496165471826879580,3969146277747066240,813980926047232926,86830556601949976,434133368901652320,2054406089274278544,8198987548125745044,15870424468188930,222176006995006680,317380102677925600,138598063515554874,3368491961766811002,1415623748467214304,2016988865100076032,8828448900527395674,4234809110714474292,2967617847741218064,3157135073432999424,813208691702826182,373354823280468348,3318561135580734720,826063916033800576,64168366305989862,641654968471288380,699879482109496848,310810037545882896,2172069124287317352,3378050642461307490,1441205524642403136,129910820095468908,576535029223788316,3444285812009848704,4198335334472860416,583348490883080880,933806210825857314,1698445083824120814,3646968950211632064,10141576632241296,304233693645190320,29528784094516752,221455977194908080,1107230370596618400,2639527531281309288,4298822778519073728,1935229823095390560,779697584953045936,5634582976575708948,300421495097525286,7873136078684316416,2254988376670858848,2682833883603310116,863709202183693384,279198272826777216,4634225264986606512,3932849810827102308,3475761862995496536,1853439749017678944,1626464481296110344,1595168387347953492,4545885172646447190,26066433083158528,130326337167401040,3909615275317179600,1839927111500432944,1687873264980435648,4059885928848269520,6030355326551603920,2369131984870636590,4210718911268141664,7707386983170868032,1106035044260117364,2426363771490452550,5718768128278312632,98577025758585888,2957178525807155760,7002592123624170678,2158115198735338128,929412049878200196,2552455010496743408,988293898408435452,4469904568509365916,668825482919579136,1274693336389567368,161421586893639198,4240593196336522088,47531975111916768,554514911259064560,1584257468511572800,2591349054042137076,4007431297841667024,3421375886807388150,3177085818858809472,3545886127620412032,4004038528552392840,8572159518061505742,907113955435583724,504152218760872792,7510981108008240,175248388562916900,2002749161372824000,2440388271262160880,2550734479312308576,3092611214666362704,387865454964448104,856151514422163612,1003894272306438048,1979669045551073664,1664260352904184332,2365430852121640992,613703058715601448,562311993839397048,937144746130407880,614565723564464472,206311224196213632,3094529971617512520,122580645486666990,1094244673043207640,1397409025947503104,2219611558179066678,2808007626898898064,2448423795574361220,7829264475213682608,3874399246688920272,2505108093286920696,446469911117779968,4335020649834027372,3162656636436902448,1722870950269561116,1689208589092493304,4790848160233435520,2870789789229231870,3076943554690147692,291292350763132440,7767448648224465600,654044069039755626,503863126603585968,8393325461604420,335718004627934400,5874802350535153000,1381035814468507008,3914706497474550096,652737916344789104,1478074533716257092,3163804652263980144,1987792445226579904,1893736134790078464,836565280596716364,963649728930173016,600548258975853096,5868749106934833960,2929820958245488568,1147717809479435304,5151601797161290848,1631145117258290304,3698478158652784710,177288063635195784,3545602707044359680,2469434432450265216,1336818050282168496,5428118181516397404,6446383348992156,85947934237802880,429720453300525200,555716333078697648,1537940355104198496,4983497384660844504,268227514534037364,2018812632719324004,2105073333745813368,8905351200395342256,7687131243183347238,3032651449720550184,193631846685539040,1613526562343883000,642076967857761186,526647605152198464,937066712088488004,998433508944211488,315618616303720758,143835483341930022,2876581020391339680,6225337018764174336,2261331785471740794,1530611357106425886,495497511657858600,4128961274927910000,910034683961333216,2408072380721287452,2672738903724131328,1319645913021751088,576478293652515588,5974954958787450960,3107690408778742276,2553561559755497664,1452957041685865536,3733051224942479484,806532423885124992,681797355480594408,1197549540040750734,7857093838547186256,4756693068412722792,4529450030947793880,93469503946808718,1869306479516224440,745694515843535664,62327197348333188,4985952805209251040,645846661503015612,1030322526517973304,3283698917828995008,1360146839174193224,7061636047903584732,827787443836724568,1800049005379619176,2831923255499454540,651320057430140850,1495351453145488704,1949644071064548672,3634515357207724470,252778366486312678,1569628847164491648,1325602568889757800,1844613743782900392,317009497387061724,2717102748330053280,1040552745106027904,192722991449770110,6476588462608240998,940029908425908256,2424206995196275296,3661206384411216432,569352945695896132,684810865584844980,5865400886235082752,731887530506721504,3927592574008625484,3756292026928330176,358547316923016460,5229366108443118162,803250618880862790,193239976442608296,214701482987418240,866573787942722088,2215124542288635630,1276288387041536208,1747633705822026624,988752528139824712,8455115645501542704,3468295079171883396,2552082771064994616,1498403858364019332,1982176224144459744,6322838253529749952,25449643253073444,2290365462254684940,4890696489018975564,2153864899087303500,2441945399715986688,50708996807263658,2028269163318064080,477748816895143080,4094806729695620400,3289095883117225296,439863183828260016,596090804824468824,3946659633723570912,1729340334410794164,5807753895940816068,1356848721643225248,4702320986383691424,2021469083956870290,1722572940137874552,1843613628895407072,609396758580102144,94816551387087684,948123111568497480,1449882433936339416,834009495590796216,1713239959499650440,855116101206556044,2217679428505275456,3091900121496713664,1466433023195635636,671923951989550524,3252342164250620448,5540290382817345276,1119600104965352976,4200876465630835158,41019452048014272,58596596634263040,4687518093949670400,7774823863893459510,646238256870361392,936620349639430032,2061646255043818608,4392997702518134940,1589926856963948448,2873346808871852184,588729431966521074,7148412904040887440,4729533734896007520,471185390374101612,5021768977324906212,1656127056837157038,3366345150366213456,1284188916113116992,573810234726867264,7850210209457234652,5885709804571263744,1845313787324179340,3479241948759388170,6784485919439227776,2834601570835989904,498457118773469160,5981217931610227080,4932084765010142310,5293777649148882432,7554869851400061768,2466859486514771568,360109539844351848,1620424393614933984,210086406814578112,900330050142609840,64738482278174544,80919483947863120,1618317304204792800,1001690636627650176,461974872541929736,314968066677059832,2309652044879880096,3149241708149791080,2675634998248173258,5643598307808059712,430970050933128684,2888749429525478844,654930330358245282,1322398186132175712,892055648267688384,944513162181100908,2362552746579052830,737428653855346992,2377224831669709896,8743792753612954818,2232890911363220802,3260742304631609196,5371367720491106176,5874526340865683424,366948984520921698,4758574438579597216,1637736136693058688,1301694607495262304,706567067028415824,4620042709747785864,2177153527502001456,1415783844193036590,5034271647742692336,3366806249193725952,2014959843318577104,493231302519179304,4266061345033236972,5291688733917791744,2938514550606304680,4486679278581893250,10383328060031354,519143185897624800,84974913404867736,849711133310691560,1859983800630841872,4660341637253412264,1367773863614949248,2596153099846616244,4827018023399401368,2768360300531351952,806664925597955292,2094177806610178104,39388820243456778,525160783746572640,2540999932981960512,952933139716757390,8195866240074018786,1202784927937860096,2541868407828642340,759715229983864770,180615375438302412,5418218950757001840,457204292510512032,761973077408145420,3935862161375987868,3546624743855919936,3749421299181962640,1264126705953625986,235185836750479332,2901211545547491264,1928499175416831864,922543124235734928,2539358121021694368,1145620520326399584,2506736251266268716,2005707224202262140,137106878617193344,1028255604389285760,4004220736649730816,4252593317278507884,5989163083474922112,4223983989939662784,1239518617349409200,116872787769989394,873958338967002270,6785991117040733244,1166175121599695376,3447447157916022600,2005749273365103612,723561514756359744,1959793375329683964,4062169453913639840,1405985027853512832,3819593441726279340,4793377672882670256,6209036904066871392,2768550772026702096,288333154192910392,7173430682764914048,109720720666650504,274289535079158740,3782577102683054040,2452905345737740704,347500512605829616,2977717833034171416,1973218746924710208,961199885471759816,675809277154736802,4004418986824565040,265170661459755648,5966073073088478720,3362830047936210420,769518052456368828,5973325137583800768,4666162276134060372,887430619215572600,1401312032678197728,1752895231508277480,2642559892832741720,646471630986381780,1021432640866184472,4551886869252255744,5100354889964453700,1704156042291296130,1727346694399167048,1049761282348517112,4183927912184654976,269803149669220530,2142151253506633248,984919392300293640,4889545983607748380,3409921412371889784,2951999841085423020,2835580342941725340,3159209657621609136,1228060898813450280,762309910602479536,952844776332054240,1813923470598279876,779894970696671872,4874125592616688800,2476895465906216388,325473944765096064,280798741336098474,1650840788351408736,648847267660183936,1082780143389861168,3623269008371316480,308909931559501886,463855323279026448,1349053215741770688,695330625215747394,118524702739688322,846567160704196800,3511405260802879820,524182380693277212,5241589400987662680,3241738130257327936,1075081014997254144,801165520335693654,610420608996893156,2615971337253142560,2388387644770732992,265336054507317808,1516138223690878080,4915830989536300008,812151453736901616,6539822881275822084,1675213771992895530,1899690971515239760,6632042760154457184,2216914411860910872,4348506404312918244,1905803992407448296,1652180022902090496,341750311996371168,5126025444101131680,5624293628376870336,621294225891945776,961244897921011074,3451674070354833774,4331379624785441460,4476419556020226144,4271289464947875408,1958134265334796250,1895756813904030336,2870567024797828980,4765768525767665460,227313350960785632,2273031860260498560,6902361372298493696,2143348122104095896,1323041549315580396,226868437539166016,1743415052430966768,4638182603421381660,2629791962618127622,3950275276082200020,4891936893487417080,2653093177047930078,3733264266876417552,3475738382096370048,3118929626752416576,6528626696463868458,858220321108858092,2694621785164376512,1208093178968804736,584550527720357856,3653277426296216600,775644518072689776,2739452010618790764,710401866786310338,2740346743412117952,6650736647460358068,1822568638076196168,585943333476134304,476758464567835734,5707875051240428864,1751221956141253008,1577490393574740204,1275111727643205800,1793570772268001376,798973817251313088,4813736896618411972,5702242188144638664,614580812658512664,1099887479826021920,449159293778835912,812062254762161028,6586495470484866072,1624356225447442848,667329565704976296,749031091891492308,522091573245125856,3815174073036814848,870335251011085112,1208631729941474688,400822143301691760,801608439850814720,1076188211565404688,626209980666296058,1020711894974288352,147187330855068228,2424826693846841790,902244429160869636,1271301756454499796,2554707407371148304,1554963361318444460,599692238472937896,3075516847971984384,1736691387082876260,6601571374718325978,2761944418194766110,4733096119733720480,3937285272672540480,1931916583505109108,782733175094730866,3693639774255213024,2506437763699828644,2488224923687815048,1518653287983562080,711236658324707388,3160910465597028160,71215119295406520,427271609121330960,438303212222142256,1758101088137746464,1355764955500634976,1728168680481207096,7486445757552778620,432689915878501248,384276379266940016,6201315418003967478,7795779412095603072,6125087434520438412,7796567242544651892,4676215494726672912,1791887065275133112,639414549139261224,4567042553449995300,800339799422911962,4184079900920333568,231888542358404988,5410490712793281220,1667370033015198876,3195873730928223576,5629895398828560384,2765961135493261344,3519051903025398558,720443762837736280,355112445137348448,443870707857080940,3498457692581386304,297528852317585040,2975155483442443200,3819935574967190294,4808485672030062450,1260637328386267920,528528398693954544,5390205589074991584,4157377080779223780,880188181781654944,3246432215883663744,6306847930748596968,118217435437892258,792045980398641504,23788842684023616,713633369348026560,616073319465395094,171235834498706016,1712281777942253440,4831806229565286384,46972780776223038,1409120412662183040,2909526519472483020,5402655600786405540,756943959054887230,4241905144144156704,2691176771320905840,8044955685940190598,262165858233480702,873847119155121360,871182836689966224,2534678890941824352,5241219594775850448,4535827192101945300,667715225335685208,1815332062116855072,1254037467843435352,1486320985776157056,2299814461580508684,6279516912047640464,4842935074591217730,1679058546419843784,1596719368978922496,1224618507137087730,150891947732147556,3156894872680009968,1043884742478087060,4252922145974996496,806119470246787420,100308670389086376,20558669726716488,1439042533747657860,818032303635650532,5453304845503806720,990670979164057264,1024079204524864752,1881620187464534850,631220932106235440,1961775324623146032,3352940394606156192,4730619638471242176,692017413283312560,3598447240613458044,692543455445465130,2757106213248841344,1502266022428151412,98426792607698280,2487271987048434,124358038732245300,497409913461692800,1571185317889915848,329244856595193450,347749797898477762,2131690380212238192,843681187683276480,2341401537280964576,6747564278451983532,2421799705490528088,1555914830596037016,2081728313568354144,5117693904508463328,1530292964606470104,1758207592538650440,7779536760359392848,4475349942501354130,608891380067026560,947301391526808912,2032146900282421840,563404332441055776,427676459204112444,707326397947553344,1783268346894546942,420860842321558968,2404811571141136640,1156024722002761656,607812339502082676,682726785332594758,6826962596196767640,6502835201595704328,2331762658732410530,742160273551601292,3357322715920108896,694280302024794900,569723399361333294,3255416722049376720,2083325291658798768,35967371290167744,1438630526048320080,2626399447944801672,4118019831345363264,12309174303110388,123086239490540580,1641076482682975200,1101778660037437344,5995779787258502808,5095731116585910948,3377390034550299408,606743214434780032,285236809135047324,2852240560420971060,2076981706046928966,336894754100271180,673759382791742880,5169619766755640616,3126982400348580768,3850994400796517664,4073518645361060060,2510573089876648416,1406216739512076786,406027915546470144,3552585417594702720,1081430712272047140,5763914597177448558,806090341012660416,575356822986919680,171905924890900058,1480539754514728476,3861805610200099716,4364454539987365600,1815844130691812520,2087740234244201022,546833871189155880,230337700305770328,519692283823234698,2261602972151271162,2070324552586820508,52848139106623176,3170746578170433480,786807232947164460,21285017667528576,638521980960218160,1377589906463458848,6695079927844870386,1185725632346986104,121624099386882048,3040466542550726400,1495443713586006156,1625981570167900752,5801705820694284732,932255881467771944,2251258548523153776,3302627596524460380,2958028608675837056,3864130597042668414,1264999087211436900,2300232990505109440,690657730039605072,194309713849133394,1943010265856309460,1838381984839169352,264310803019830528,6197629643457324804,183911575347776232,919516765057878240,6202564352439009984,157134071039528538,4190054557258685280,2469135631846522940,1789649162273671704,312702462784266192,65505889024070758,5240236832469987840,4828550322112416648,305071499026221510,2440462880186028720,241460095884249528,1384316647457981088,5665991264991180288,2223847799700498738,1036078681626266496,2088797149116575100,109872285308291988,1648010598445158060,1224031149278429160,1314075015887377920,1351528218719547192,4503977714813648940,446260596439717152,837589889907976656,4199610750525056340,4732141890952516032,119356997106478416,1790274915798433920,112605369246795636,1051832779531350698,2107412707288715232,2730173716644610740,4866209030270096410,4759397600534582670,2215976212282576788,3347390326868568816,701553398780656050,374944232956818396,2697865063448732928,1503130685636175372,393419933492291232,49726022275156668,331491994859460960,4093529263976677536,1943438673835038848,6589552476247562514,1914670637148093336,3193261958088321504,1789200366614861160,4013261625685390932,5153071037518866360,3949046781352395120,399322707801730848,141401946385975716,471318749917202880,407272391930354856,871420581340172160,2304727151911357662,2582217914526889956,4869230258479625472,319899583833802344,1103251956546857256,1618800959994480896,1497834843691671840,437327594060692932,1457693478252746680,2346198317068377180,795845683340292816,497301191965256664,4785188308687957338,53985179716543008,179942554482395960,3301910071898675016,1391441297537918124,5942466040625485568,4892732841441898368,546963857210483856,7086574611332580492,339074408736531072,5933536888808219040,5503580127480120192,583531119613133694,5186711409740514240,3213833189885189680,4698458647617436512,165000626761134540,1319946005238821120,760146466629945384,5286292086523434588,467489244800859534,4674683464990917480,985970496434764320,1102289001036752106,6042169369695428784,3710011495978224840,609623955050154916,518054787677146176,5156788608530897184,609279814062980456,1025475547459742016,3091377996020696580,3121600406670097452,550602723407464512,1286373213359994120,1790177992900747032,1059212068480351584,1757837080993507740,4787855670813077376,904456565025168096,3210612829601585364,2448545333134110600,72031884363567480,2881146575756133600,3425097411037869590,136809125431367724,2280050163556498800,6048728202137794128,4445230065056984820,429779167954155792,3224967426358680268,3598849639513749060,790441643336985372,391551649164200976,1305113820921722880,5565113715506788512,1241125243892157648,1159635404751294576,7524299718440189280,662060378730371454,2375917472901709512,1040231277539344128,1544027615739256824,580467661737737220,3839109897616285248,7711168533762906144,6388418093989747392,1082415788762198520,2003858989857249732,853240395481095096,1804194656230370496,282364805621203342,4408926264157897080,400171577209006680,1600614757947790480,236811213424337112,2559701124144724536,1916862757818646560,5530382065041278832,963620981564108868,7486439044186417888,4986643665305264256,1641678153795476352,889791318199066144,567367129659781704,3584401174954785312,1141271304887878560,1026016548286598568,4584418133994298458,728748732177813480,3422152926988217856,268457051895420150,1150478794858183500,1849771669125411384,4153751543847041472,3083437090630673370,516406193704169094,314911396344631680,959005672180748208,1832050069856355168,2103914492468848008,1352765379116836056,630747484603068672,490049603948698884,3067064402546890752,528718886806239600,4932819533703367152,261116196745131806,1344861608492213856,1816848174566825712,1804248269251592280,3504017441973978270,1118920556873236830,2396478863689542144,88322787270163188,1766376789231786840,997588156372338978,697321890524641140,425707389440915904,381560619810121884,2727219950783305686,2973036437871984576,1620053823137744328,1402586799572269968,3602805146073307188,578943374222592912,8650775954567855592,4475921521269980610,706419486585367038,2924815431673438464,914108833955634768,141959556812786574,902528329153165836,639541248245555736,4688305911318603008,410333630715624672,3077364678013820880,865361918444710920,7587153370466239104,1543664761630818948,942526337844793538,2855741616626823408,1456752415096555104,2215026741824578866,3653107351003884132,564014308035207168,1769242020712474352,960706489167814494,3238406043230445552,1066179794416729104,4046988237485841120,2124279671680586664,638099560016188754,2306212773495624576,3714771000929927760,2324219368392341784,6909723513413928,207282440571884640,2072731761699811200,556384127342676168,2119206126968758770,1850840048471736960,1601206409274459048,810768314381402916,1537344323420311384,4592461113588093540,2416665556007999760,8694876962784307068,7681134190514317488,1801953250736655888,1858442524254921096,790083977846390856,126134639589815208,1681720029188379520,2368129212779143968,1450992356096399406,22984788506448650,183870089936131200,919309361006148000,731397176117500824,4952653419568047462,5375631097682618400,7380796320500281344,4248105137905459248,2878760126039155020,7470489695897213568,3221452753614769860,1941821283246769584,677363539878965004,50810310918418608,127020100223893680,2435410091102790704,294204241992757308,2526619061153293920,450139578486262280,639013229824004736,895250332355805162,262971835529796852,1753067219152933440,76589619876297054,2297585909034045780,6308905277492515992,650258258103876504,2133272590462031532,1979472820439102094,7265379267512679456,351716593220105024,3731554729156790844,858145577740529328,430770537311541184,1343759277933899568,3717460821142885392,1626475783354427312,1241592474271936896,1118213711814038016,3464175905723455472,2357340360657810660,6848673359724066816,5908225931917012704,6514772137870475952,1948168802305744632,432757197304951500,1923279366378840000,950632159475965536,4963464126240920964,558057279898755072,4555683550754630280,3373233159866125864,5757815616409204896,4035535091935563348,5648243737236187104,3441109816228700196,863110947322676430,8630723757249644400,7315915371815430432,4230883052528248134,7610940695359289988,5224417771538714448,4303674746705785968,2561585169038187972,2902871209836585372,2047667014419554304,138199119007972176,1381929431303116080,3386216653534546308,5785438700050911580,4462127552997737472,5326228063907532810,4328649478023615190,6658176634284366576,4213406291323510980,5771045651829959072,3303038117898321642,7796085122858222664,5747443901753214528,5472043343716358196,1813656376549501128,2729774050386268928,337261755227751312,843116710041551820,6559500057638662728,3294578914361064216,1354853140466364000,320886268476391422,356524365739479420,4742470144392348984,260742589601958492,2979782148227035680,837359726926491342,674363095314479128,57025147569056064,356391245890221300,1425501280858285200,1175668327337757264,561194485615273152,2104385280949201080,839725684734661218,6999467933631199488,638463955705489312,7296404865295453920,4168237020005929014,5486608273061404944,716363771753184720,470907897299500194,2586053859350789652,3705747767013503808,4265205816328713144,646752998336245056,1744990989702311610,5447993714975408832,284326852033028544,3681270900870502224,3302674801393325292,2092746799128664140,1232649820957542960,542709392929573848,1862597885010595650,882914666861448576,5129381660150499984,6256019320031161590,1437716847948507630,4766702429618143680,2653572208043213256,983885479419287730,137927804816869056,2298694029379302400,6032895218319125376,3262835175445338264,1885075432786867888,869922410719984704,427773034501521408,3742846803997953540,544134427668863790,2555060280683923680,1249638987350191072,1942509777901401456,380555643139215390,2718133136356341000,2539040381742053280,1758176515736313408,794603641680702752,132344915843152512,330847506107864280,1712851195238986008,883911322132796808,2318198877971144064,250470274410316576,2504590830734646360,2095067934322893486,1323910783760754360,2184682292024182704,2820418493996333430,5053945121710829700,2983965259277407968,5940920345126458176,3545769767754864990,2998864903144723248,6960802340772880512,462419508669502412,5284558258883898720,1699095143394070248,7388690011313090256,4284008473287647232,3353209840474076340,4756467735776532780,762998617664278416,5625999046322868024,4470980386452088932,1381618438345720080,6144179095513911648,70683879296274816,265052704494703320,6184286784228898800,205531468286487936,689021281116479760,838629056413090548,2150780440904221512,2834926013871996816,2640627925268619216,5380029718202809428,340244656363840986,3162396240331275024,3828732027608556640,2857217250294137628,2697307640104240782,3298316889272486364,3160186161499261536,1644240690393917028,2595544311479916888,1480337760096594432,576471070744438320,3381923272900202786,372691328232145230,2484497849550015600,927698262572700672,1531311403099382814,1903686110515449792,4019904200657337680,1133983594108723536,6348015046478348586,3148749714933513362,4006793900662903152,6528390889799765616,2125934143135233618,384154507549096182,106595563663070784,710605342675348320,226992493545755418,1776576976736075640,2044083953137552764,791903223211212336,870570025960208490,3919896265248565690,1281841733041262064,4370615838347268180,128248458629461046,2604122388273909744,1921999167173503620,99123752790301536,825994370498200200,4171043605462803684,2036327500326236288,3159923075833393680,5218983974052145836,295958648177918980,2367563411700020160,359473222290393216,3363375852832319032,5298096976341788724,6991016417364950976,394671168149294388,1436963345981503992,723563181305573634,542009969671373828,5113148554350936000,5890946927561003016,808859942088721908,880241553862937088,5194110020305472784,141600185008899504,3185861835092936760,1344313641968800488,122639765152455104,1839514297963713480,198572958079851618,520063350476636736,5943315635567700480,3698494801315429830,2123532814752554574,779220835217907624,444550028279111136,5186185310552465240,2883541698299116584,2084844770435443392,1741738401236803600,4265332720267035168,4998689684632602090,1556094256760619880,1113424038515644416,3929780946393366174,3276580100137386936,4114630649119408560,1209449298907614492,5409618389044230858,177566132869483416,1775582009338614240,569041968714038864,6549299136377786712,3817494411071990430,4760523885095248160,6504156921826096092,6301478482065669078,2237777418402864702,1666233893741714460,1407034596087885744,2616999471891343788,936509800877552874,2684524359309698136,53407179126694008,356031956570809680,825900240536823474,4378739854097560728,4774450816081094832,3741132946324741170,2296756659791831720,71334243121840896,1069965851227807680,7463835453974875722,1324134456901715304,5385585365089964496,3526106573054549664,411504072546146448,150091072870386636,1500843686767646880,4972792495018970952,3296450261377718460,1743232320632200776,1212036961226360148,3539110019731306776,1068179634658694556,2101367542993123086,428177770065263616,2811691425506670432,6111995142574031592,763063966160015970,2864723456002436420,53779917619938240,322665092895194640,857604331421172258,816448571642841048,4077846059126466240,1064900915161754528,5041630714866403770,2513066773916094660,6037272803360057984,7896850391198603322,800257096508001768,190689394338290432,7583322485346876,33702150122753040,252754836193798200,5897349429945876000,4831653778455297024,3035227639964575664,2106478499412472416,3532486753697612760,1140307366181531760,1892566366925409312,4465906829591870730,2175417856496784264,6155042932967912256,619113698105433312,3869287789696274200,614197157087669760,2211665211552283488,4303902351224529240,165015191525903208,2887636875649563240,1590831375787953280,2938629635295143922,410119475411732622,2062736297242720624,184021602658912728,5520401515043523720,1911456095791057662,4639272582651093408,919008686411006928,5021739711188246576,2845882907382187920,2805877853720043120,1583393262358004392,2766078608191941276,1099671773995965870,891292720046126304,117748850487110688,679340977248484782,3262282970701121424,3859425119229703320,1004520530324625048,826325133849434930,1403599749899417388,2175278788437017976,4639366472171115504,380215475913591396,633443139276242172,1892288189339213952,1208429089149578736,847498123880446170,6700352447749109886,7125678721175132268,2828256994993141728,2622947330249527626,317271253024005270,634514168001790320,5793880689027706824,736518524621387604,714174298145058006,1964156091247767824,1120756450571818200,3255194966969827530,2431598530348441752,1517652133356275712,1237600453841110320,1711230983176184974,3814932952555617144,2103247993694058900,362801000573148416,1557911100106586268,962502012054429660,25826061442409392,1549494487475621280,1366906201650013992,753177002848341784,7467856210382975712,7113576717587972376,618576658235646344,1224987680162157570,1102904616181151232,3842273249308591500,182453894881180296,912228736094396520,3483266719578036072,1000942831055284992,1305252098730651312,2730328465308706664,733767722916808032,5313071928342653928,1578385797674140710,2483269083811752336,1289264229559654740,5448811567855994624,1192907149993169982,6044046083456289744,6405127780148719216,3680372755645425144,3101110722230339448,5090825431654512576,1346181952282644816,554337223206619968,5543124699206664120,1408073976649705452,2416350401123327856,937919788691329248,4036355993102874012,692387535045373344,287421175165051868,241186091765224512,2713222373654492460,1367005903640016976,1521659360618671872,76453428046603896,2293500426404706360,1958313458365891308,3365309453077793376,3327118293031320832,5893155595224431616,2932917440295049224,4196256975244326096,722310920153042856,4614651560803227228,669929759057173752,338312200844637576,3720920657086097640,5674870010057779146,2115444739916101872,3867524050649785680,4734761089693694040,2513577216575579232,2706196287165517638,828673045957611740,2130927229228387392,2845970891580618036,69446148362221200,607626666506034000,2603998011969090000,635364772258392264,1924894968592939794,5152193070924960816,5135014375628868136,5674635580528635696,4204761970544027622,4428785283425226560,1017219669998361876,1654020983206189206,6250406949704520880,1452167348900832432,3165584209187409216,4356125249033786800,2855608889546308680,2577917453613915960,2975111560549550100,465667561799269332,2617003854351567216,836149576649995984,198383014708184352,459642226521053340,2757730228926959880,679624758275649552,350970058406795256,4854205770279403956,3670928428624065924,4641149896875244620,428548071674436640,3521100292868539332,906857867779056810,1117629580500695472,917190682249806828,662898122010619902,22362665122752916,111808333648045320,1554841121146846056,3129172095374449512,1566419048856240984,6482596237029931392,4107821516933482684,1581445082091938112,606745114539974172,4333700190540602800,650367273618135744,1361904094883571492,1757312249790716982,125727261186528192,1885824723401664480,5557075460820633996,1518470233228954188,338139104623901460,2189780725897427936,3005707016012384520,3609337307460515832,1568082754291785072,3027365970937561080,1617236691311278950,1605172196752409896,2119848533245914984,3267320781897656064,8014656294203317344,1221557640773304906,2065971991605133584,118979619890562812,245692835632613886,2844012328357149840,71924876215412424,719216653853348640,4585666089364712172,1127278036830108450,926033469316230432,4596742558165677912,111190372242625244,1513647555104172546,6643139762891377044,775829478066789008,209591227193289084,1670509158632565408,804489618266641472,745786005432853392,1497725024463403170,1487827036972292346,2839101576502609392,2968128716770387728,1383729758155164300,419782026834035568,3826248401740373568,1436614696145421936,513136178878610910,4398113770062190200,3645881628796978740,4146277960898536896,930173966681747778,1631728986245514852,5836973225997128544,4777219492748030592,420056019928219984,2578382915309024112,2633195697777815280,2766371623781334600,6558597265891305360,4605598309339433868,5546588249730828288,6860052730831491324,664097517627734304,2490254529689264760,3048890124393820416,671729456862661632,5037746050627705920,6010358575930598736,534100157316821880,882566944430123876,2549792407383312624,1805678056218417210,3141433689180571792,2544048314244368256,2126005275356547084,5024080954756715978,3506980851199411488,388590810125718912,416365588959346796,2973907176377725800,1489468301598336840,154102116886766912,3596563429135006716,1035318258621560952,2506334080913493856,617161039332621648,4708732903154292636,4726050175742017410,1633701936199531860,5914199600500086720,6432771613081084848,4602866292336744828,3268340977841191680,1283967602380982944,386712761459876214,515195225838852660,268222405371436932,4470173900673904800,1416815204133715578,147612004970872080,1660560938947112400,2712774981251846412,1152028500163918828,232054061284048848,219617439615029748,1259832693780258944,2951008128259788618,457326134810809398,811324542231541216,5307783331277614896,1786249010296290036,6039502960903211052,642011312561607060,343741984666490784,616722317484358294,526111458118351488,1681177521288493080,8130577303412974620,1146899401113699612,283234573182939624,33147731490229024,331462521443425920,2485857965174139600,3069571917650781248,699715880102055168,777427392169458720,2308527839612797488,2742577453631903568,278978843237068788,910559565150000896,1299194034060021324,6012092267221201728,934376523278905448,2372277363750745704,1373742646759550844,754205852565177804,6703752842278419840,2596748119323404544,1217200941547914036,751558792958601480,2819797224072129840,10095694852968448,454285994515568640,1009479381366988800,3172990052470029660,4252455273423780864,1030463328472401516,1374293927492871750,1651503826134052512,1494877876265321568,1806702659167354012,2341754065964123064,1112970619349624880,1394996312494466112,4702750896236988798,594708812683833144,2193139645430214016,4744259727537801240,1600202019161584368,1730021444138968064,3569054133916867536,318889630564333344,748490722336354356,4639517791160633910,1671698243046093264,4268832677792712920,285796323909712638,73258273218523230,1318590076706103960,2635790833232805240,5239556772414983730,1752416125957448136,429240883921520832,5722956406446061440,2358820445607686424,1626210864828048528,1670126466086816496,5949477293519720576,61374350687928966,1841148363455373060,2561947759823173840,3494356127758824480,2473678664414019696,3361054640272425624,5491576620320028120,5021482674120983784,613069043151692918,1523026772498253168,2346724278792495360,488618776410901656,6224926225481825202,1430327805499104552,1529832937568348376,1384576513472140128,3007594067928965190,2759296342387163376,1752181744214748384,586965934002839616,2934698723551007520,780066070490770206,2153701733497668648,266964482613104232,7168793545249032528,3313328572050053424,255252154473284400,1020963063483759600,1691761734015117480,2904390230612887944,318410076150827160,5246201972066471424,17294217197256824,302635297914361860,3890851656728176800,5209447384823680944,688179953811937392,3922098065283180690,1782760608524170760,3031008578132464992,90557416507529892,905533762861511240,3799385657272464192,1435617894407968128,5025123877706663216,6006668206440253176,249467375869992072,2805706871415259632,2797471293395062518,2414440945373483184,1058420458201152760,984033246047805504,4714549258712288928,1124839647426377296,24967865755947312,124833759327534240,1872422852134474200,5043349327411580064,1386886652714284608,1166630436789064956,891721787232137976,2755924017912895290,3348205315870531280,1782384459763665024,3486587906162121138,1226769762457387720,262557558949589544,5292386220757156752,331739614476849408,3317248152815454720,7345241852096632608,2054210554371458112,2139275899184006142,1515705839612699652,1314488218440707584,220997657781801516,947090567633306580,2477814288671826538,1473695137190398584,3314948772304145088,6509795529672865376,1327873993684464528,603234693052784496,570492730280138592,1426168203465818520,592863229662415878,1949456970513474528,3131420789534750328,737953100524343676,5898960062660823774,69066119899253808,690630390282272760,1304037075299751588,612123774477438816,2597528514422603880,3162906123130786560,603808997357042490,2622667196579118768,3186386380949821280,6178229637070108608,767487737978797176,3458041397923189380,1915352400786342780,684087824497286832,220322902822177230,440626150453151340,2021272055812475136,618078034292346588,776723549713975872,454908979306822392,758147813751128880,590946946274699520,2241125661778651782,3746744066902445808,1943492761498341168,5290835280612945264,423718350001915162,1013035472795884824,3216507737075195040,580622687644162848,105500736767309202,612537493530971490,585218245536669536,644259063577981260,356132607522471486,3821539191086522610,554335272235601352,3661994093437510272,6120971068053861648,1163468338213867128,299481041980270272,5240684482415024720,212763192867566208,2431470895999580160,243466167128926668,5137304530256900352,584432620744415940,1185127485253589190,4053257179177426944,3262584092702604000,702792897635140472,4313661530552926884,4676394381321471732,478492171255181904,2653624083470965704,227155806651358476,1838832444825027912,901558969076609280,7845362432010165906,670158327025249228,2784498258143723460,2738154708753645240,2238885705078087606,95452853616730764,272710276094021760,2594704168963056744,1800962028719418276,1251594121697291484,4033197803260112544,5303450912741307648,1164260603176741728,2539421000602660146,1670669428743872208,2721937736947762296,696724926543009034,2262826711596560490,7228067650033688568,5278447632819080736,2253430375886306592,126430543118917890,1517098859072449920,2670535259758959264,327401022555835452,4239835958853720804,1662957157360432356,4459471283556366000,547029841041261962,5735941434563286870,4518921850318333152,635945587320011696,908453183172135120,5715825189418294416,1270053000066919592,3853568676120846720,804303840628212624,2463909237757006884,1549271143767059328,1233251958886550016,2351842398809309296,150784160901257898,2890932884382436020,1838969008890198912,736791998780773104,4562172079142945070,1518278610395564528,780050534745642360,3153461952662885490,2923426557351015232,3213787432061845872,1801175793437799504,857222815306576568,569395227952617552,476621484507044352,262451505570521564,1532765464828891344,1158779008902363360,1378815223181282088,3521249119079612928,2658915567348595236,1432252309807635528,3298141481267182440,189929572993116552,83716836895314072,1255696561690289640,1413283744550752272,1993054772320169792,1019583911976748650,2452214506626761976,2238782220431248896,105548030035629984,2374724789145803160,1563716055798541832,392133094306994064,1457906565650045952,452543414271582904,2031699282024566340,2455811842634970624,4343880024778484424,3716895391339734690,67747086300132876,580663420898452320,79678634690978256,1195126233248421540,1634087026294253856,7810428192418018368,1313386883382330864,500271599689983634,1092853177144410690,4299402238472480460,2253511103861980656,1297508608757782656,7379168410704065184,4383173979452437560,1677659107190807664,1453655358805368492,208747313263475730,465681885035233632,1895396695476682944,307038189626091450,770155644035157648,319926795373943856,2132750216351312880,773360567217143334,2221933704280332084,393232801029990548,224562404649470016,783622858805422152,1474759239636855424,1518946574124024288,1356000335307522864,1171450122589327832,1336911574772558466,2235130884789673392,225406247443342592,2535707237851862640,189367762939706010,3029749137008875520,488461331787437952,2442197783526454080,6567681510786823632,5692070374643699676,2885093264439328896,729044022764432706,6456293140180905264,3966625664460616608,512989869945961712,2494710909616086546,4714482014839527084,2247691824097703560,1583115326807188608,1524908359898164656,3629456155030454640,5834413397648308704,8498741231596068,254950871708393460,1982862832375702200,445458827776353312,2783993569754531200,87173501835805704,1307544240762417240,2636548398794514920,3874833222985849320,1811095100791710576,2181339478304611638,793794998471666532,3749382844909591344,3649986971087970150,4117510732491268830,3334696494206254848,21275902080968568,425499074841986640,416104319959225254,461994973955557108,8280704855808885024,7011973866421063152,2205356681147192130,2845383826564052928,4479174888306983172,7652470266614037096,721377287185243656,3514940004397535856,4191108694576085448,270822537016182480,677026165398714600,1223181906388538336,4552849396008715392,1011671754506270676,520841555965554978,4106847129930472620,1605604957489303680,2192096892050970410,687299932122268572,3633831340178944824,3069373386918955464,5104877837409076464,7530783399367482456,154338111617825676,3086624659652989920,4197708269725115760,1255351478323668660,5135576612750615808,7828842841927224084,769663789534203244,613702318805913744,1221096241636071192,3945342081099070848,189219899075555016,22541518264243638,450810273288554080,2849587400903478984,754176688232322432,541174324039680184,3092286892029540480,1721107745974359360,6051409580532113082,1044730173423529272,765418112098896576,1614032595148857984,3375232297893538512,783037610122333644,2292141657796334424,898147042306424064,2880890976578387184,832380667526749462,36176298031269168,904367147150011800,3543678153990620712,1663689895858588626,66320584517195568,568436820710002560,148696789729143924,743450817151345140,3165420163238182080,7162920756402557976,1158408386353652016,1803192730170141268,731228739458248776,4279939758363234480,1555982868165404316,5990317784299218816,220588655406701184,903882833479496740,885608639600398518,1672119918261126378,83037807950934752,415170538960626240,1391615582575719816,204096529374559570,1749320871087844800,150038175909935268,3471402474732320964,2296552264333000632,5666237374863419328,3155544094648297440,4687834124434157136,2642213181477517632,5739893814915169536,2897300143127029104,792992485302915978,3351273174080388408,171549754197418872,2287228139452629120,570855045208707564,422360940778220556,1810037665228124160,1519194987588944952,3208121690469036390,2695881887085820356,4877551402199685972,4687609732917224688,2414357489027010600,3061862387614320048,997306197363686640,764580881954164440,419050464525030972,4284459199854383706,784475545951043100,4537691244913681176,227623780348035588,1896780324035075100,779278458983178112,385459639678245816,172686612949489392,1726789192650635360,2102332870866601224,6685177750432463808,327402026438744620,5238199039756393920,742963366302803016,988270170819571332,2949870760627676724,631809341795747340,2392994414479748184,1541061013013581680,644314139427293316,3693779847070077616,106297184051167680,885770404059969000,851683261467228674,1432886130650421684,1097287622446156416,3551660728509985600,4215565686569606334,4540732409767766616,3131586361286530280,4773169000549484496,1797960876208578072,4288288130122228092,1341660443624606880,5303709920747199192,1554662035303469484,1147063926365269308,439666567572070656,2731628722241634220,5204386983760043940,3616660515424844934,2053003338014818512,4651629776400417888,1485210901299599586,1702789484906883792,324892844920071648,812195930893067640,2313694479257362872,2533529518065938784,3452099857741254192,723616882085301872,6034189606878338178,1410266757962891208,769859203248793792,2451223026935877096,5969488372157476656,570541533637592220,445291353960718296,2337997722822292608,446540616105823888,3168607523976899424,1438456060650509760,733427093934652584,2129280284840902578,1149570973584455112,358864080815397036,1112567435221941792,218895855808375152,1915253426466835140,8101465726988085408,2221600242432077028,374952254821690584,1874677771090723320,6680285345845259496,645419873721483264,4840433450268325920,5809220353912881792,1676441079454478832,372242486186106228,1939595845204178676,1440531627453223206,214531613982628380,310491665485108416,3175267980433407498,776070154194657798,3379365919501287936,3331290554968915392,195769962176050032,3915224861520189120,1233682471896361520,1331823419758306368,2892099119867984070,1693228777173347808,640591871311545768,5693896370887362240,1398438465603365516,4020327482780760102,1212791889539420640,2960269028287323440,420253493122899756,2143321892934577344,6976112297951489040,418509228267918744,1037756887980760992,606223118895731570,1690229419181112672,1219865589219022272,1317006709675935114,4347693868868149176,2495999291574318696,589090987627845088,4417985652668624520,237053415555581688,3047693901052632480,3828010563157601808,883630263111178104,1184242843855166604,1276010408952428544,4716794266216357248,1602423943990144304,3083655672248058144,5430512459904300192,755432754558859872,114231876123512676,226617745017571446,1739431152919482752,6174988478047176048,4068881634536341614,858830019316669556,2093406458865810264,5941110392332886976,206278244554716888,464085135437671992,244877921656153104,3090925898957071360,1380732130845642168,2983357811763570996,396440404215860900,911728618818139008,881531484584830974,966567143342590310,515668427250845280,116374410101272548,1244082495976789470,1316768212911438144,899938556148920940,6195303721773000296,1235248290549964164,4127602238465712624,2859665826752901312,964720640075248500,100255467289172256,528004812672352668,3519875357067972960,5125017669934560336,1039440154382087920,1750665029984859492,4033364200281874656,1610598439159708140,1913522860527382152,1488735079350714930,2387072198349184768,1448405834797104624,5272014225723432192,1120224876175136268,155992908562286592,779929817417541120,3414330906879185328,2464868010025272720,2715967551366315744,3920870695506165312,415026097118941698,1878653922958320552,768917038546074960,2575002117792217092,120588933192078180,2170504162974374280,3507480966221573616,729668146258992288,907946665370032178,6011134406296905942,2201937407917126272,33156104453262704,828865710045385800,3722251863781828530,555358237254823648,950415685365118176,745761658610565480,38231859692117168,3440714195228446080,170992166551999056,4781536999655996268,1331633985129669768,1071933955165546992,7687025961737954688,2607346102740845808,1562636841074154522,4516141611684091760,314378790336821340,5029836732749331360,7305065033295663396,3264985577522366016,6898354708755382272,821286128510351532,3196687591824749148,37788860332146240,47233972775586600,3306230916767667000,647265035102426280,1411798120863674712,6062581167425426952,1755647030726728230,2324786067039081162,3168964394317815744,7031491916906764032,581442528631564186,2056335625806225408,3457366631249297220,2126570163522364992,2271783087567384750,834940549246124556,95796277907715088,1915840280227380960,1850171154813772560,3915565669951330496,673057732335640200,630634368260890584,3349189597662166592,679272176022261144,3146900232497256384,4609492383669318976,1469084977424294340,1838383613145536886,1320734620284717888,3408951594847284288,715048177550536080,2594684066727881590,633860459184904920,6105636009733872528,4185445771482720912,6092152601605823070,3140040367939167648,281465283032660912,574639166618386254,4104382800769002900,11821140034685696,472824557437296480,2442229505453975202,7137989790509399104,2907880256249322096,3582713955658187712,4571973639298364172,1680191454629294820,629012917680922152,827651455809383216,416070846493037130,2496313981178457660,899314044527539004,748945842598620048,415630284786074736,773437360613820564,1515688639604546112,744420018401838360,1157544074437757188,327695322545629296,4923406217875702788,87410725827426304,874068360185581440,182737545654239454,38882708671387360,699857611240151520,1555169928742123200,1993619220524978496,435841894060743540,1439998805158177248,4165310827300709890,434915651995378686,3241316086632059328,854980519309044260,1460953243184501016,44898745526270028,748279127554583600,5285331002428259472,417175464685189824,3744734170250081288,6430605859464949440,2295998740491803352,1522981814671212896,1199277405439355592,4825366235033931576,4623880678719345312,3481407991239892032,5730029348496534336,7206334654116894192,736703848999288968,679390491427670904,556634056845571722,618454766771986680,4396554294314523264,117806549447596816,1178013078676964640,3951157618807289712,5293989903783892864,590877030905109024,1146122811426054990,3328768572781053696,427721976263365200,2576568852149185728,2976141350291699532,3773789150753413440,3363060745569065616,1408416424101207972,3284088610610902890,1484204687570914596,304320082302029632,1596848093197247610,4229815169011968126,1283971438118059840,2091346379615254212,5550166092475287018,4322381236936244064,3400217033949288624,2652970318384178496,1186677586600247164,975826159516703232,2731518922612510080,4843184841612319188,2833147313691621330,443601131244684288,1209721163743465416,3224422036577107968,2408027721173431632,1921760734258298760,1717304553966659328,1661361009014138760,5411706954788127438,2852177422306067640,2358345899360510712,6450620617328353664,3229916380268280672,7373848640951678688,155795656684102560,2492619621073306560,395330772831034662,1631098394826800020,3251931205523838552,2659222017537132240,4929509367730817814,2087627752883302434,2451059390281460448,2065378380884383872,2156672393497022904,2578241977067844450,2182358084057625980,5913782623402134912,849741556173923952,4589358837389415702,3408248805658521120,2188626163783898256,619452185609351972,3030994640717102736,1315233684838011456,1139861867802015168,263283573869637624,6567001095538510176,443625342152771648,2772535065527706600,110018263400463828,1166238695983795164,528816443670036288,832604588012594448,540278851610688452,2623652866229694930,3570528086202583296,3622514559936766032,3236987565913327050,678093647106743730,3605831156022545824,7085257791269084928,4249922435592874164,5221636304109286866,434504994122840928,2172208943354697936,3618870853723492088,2702185603295385402,6028405646763174612,1398910135998006456,551395776409448040,4261256018291219706,629830050991193520,579181254378896256,543821840509294602,12281228588728064,184210236271111680,2763030661777612800,355876846553663282,4223551027577308470,1221553930440732768,3060813548995489188,4123288548765798588,4864815036914867442,6180640569448026500,4137396243085053072,1694674221548643954,222793577903795056,838588071766144896,3454976483044327872,1997355602780807208,616325859350455782,2214964602609100848,1352922034167019008,599149766255854038,567291881389299168,1991747107825396352,2045262537489150216,3431074547540325546,2293029309910793700,1444729225753501464,1537857910044803808,4533392698185701592,1303886460719106528,548686660148839344,390567677777180448,3905503112027823840,737315546436908568,326447609018941152,362703437524508160,53298293835240288,666199049900098800,2145160291730774280,3385316421815432280,4029718448749378374,864520613026894692,3615544471967694252,5194431111295757760,513867853936401714,3239163982826540232,7862990149516104576,609758728865039676,6118962236280433584,4306400243582432742,2164412867930359200,4499130759113882880,2619477884349226098,606863806612443594,1957145310612106272,1641261441585982048,1477903714659595296,1973925896691111084,1047732692001470448,1628575459440627456,62107223739751386,1656119001957025760,1061479558091559552,7640768894203953288,737994251157571332,404574605611030860,7282019150936329680,873629851054682112,3701912349353734404,1514407523706188928,1777603291622400320,849101207276345484,1119460507526138778,123760145809824564,3021158576703988116,3256137243327740520,1596089447302932848,766157397583054752,1007142754522241088,217336044887365724,1110061712452209048,93715012807734072,320102951728927356,3200887222715492640,5111995730702194332,3254583045663982736,925046473663193184,591605984728512900,1409291627770722030,573375064672520010,2209304095065720252,1304622972341236992,859357101584850312,692191521187546464,3030486732693064128,735429863356432848,73063499766440832,6575422692733367040,886468332784705632,168121158671803968,3362273718380071920,596574652446569484,561039352376140944,205942363821505896,1032046292362625712,1946901467203209990,2039163397298493144,1479383967642250824,1873868625818619552,2529571153365055212,1842252390491360256,5168015107343423496,1078980439984991952,897920758758903786,7888213767144991284,5960809953405915408,1286270886908544504,3090685712291637732,1300827847809370320,1830871883680541892,468343392914660112,1624958717925542268,16648366012926984,832381305510232800,1529657240298192828,2246930971895936220,4472710686951096960,4236817565176087980,1503832450793845176,1125416519154287052,708046352358891388,4698528868526230656,1902637329143906916,362732362498909776,2266976516165924400,109951596087350220,1832445164449434500,67366405854349776,2020902364268694720,441219517940525528,5705823324688216884,174570724420354026,1745629668035734080,2543423976442942416,3213047050900724880,663321981058930030,3420834939354648864,1360181764964434752,3049808259063710892,588483872320840650,3441564345196194336,422397411194913220,5659402314113574444,2687217250003060428,7821385027932981924,4217157063720004824,2531019518949363552,187391829684122290,1124301018424246560,614630561323958784,3190432875950711490,275732405340281118,62176393715854572,1243472620666738560,2482546629592233972,381579991469768844,1271876790073139680,216318931160555844,5047217460564575940,101966155915491488,2039232508707774720,2258886884962208688,1728736245546574760,1527221258322296196,4075777652290754688,39325817131757580,1966203494885056500,1023778613963760048,2158001598562107324,23423510476782144,234224698011385680,2187902452808407024,126375712592487336,2948635619599167960,2489173432118574784,1676224395592277976,2738619792326357028,3156682053834475128,7338195326875609782,389029859365225530,3890125762729181600,1204852365425567328,641123569867097004,262428278431252604,3735159352647701076,4495124146925592576,710224237116884724,4587338114784591264,3172337265833343504,5838448948179158724,1881838160582304834,6262535018991477072,1750722920197060232,6145781007456615096,3310040808435288708,273453642154194336,4235581544948515872,446510574783956520,439438403979724912,5658222770308903032,134678726273006748,299272763874584640,4199642901214334658,4349604493603161072,5014993717240188384,1751347723792646232,1151079398243873970,1529273783693111544,4317637509891087900,2374084329391893312,4470142697261455584,563972329456191648,1055084097017390976,1691544170257904144,2580759094578551184,1265563430656082082,48855630505142208,651379473385451520,5861318443641139248,1287588154967411936,6424035523445217672,4341774011022295380,3739143127176913476,858552532006144776,2629440636997221780,5470375343668899720,4559297202865186908,1964139900850529424,1993314708091600896,754338040605407016,1524684808509470496,461529365620447344,517234830756771288,5570805092766871104,797337590474414752,3250951415108872896,288223628485243488,5764216561495574080,45620721594493848,2737121732340642720,524898883373999640,3499170482925393600,1389444305820276972,2051670499432856946,4606826019341368704,1171344894903549504,2607329437608892736,4027388322322108674,3088343992887980928,2258734873636927488,279949705975215108,1515859914000823974,4646735390814386880,1768958053903796544,7605687715384068504,2815547054503510334,3561814536272404416,5252547872210685696,4947333857140212258,6469853154441486384,365186185592250528,2840210873727324440,3851297266697810688,2754332586406022160,2283336570332487876,1840132155357081216,1179947297587343670,417229853345266554,4180498539248684688,609764904267759624,2942022789119753552,1235306235536542224,814860481002286104,284014433278013504,3195020504061144180,3478095999156845736,5887687317251853168,288010332713259468,399982608515247876,1279484864430942768,1383530590702520544,1558091438088495168,4513292450313016524,781464556220243688,1339155692661878784,6246558821472588064,5973889656620399076,1159687394569285074,1468635150665039720,1550785985264703312,3994120665266375280,3381544392886241856,2929704748556870592,2456693970288202656,785300270299828724,2134265410034438472,1731202754046403272,622456514545756496,3476311661611987104,5921402486515554654,995558079802786248,5770176858781849476,164386347035607378,2254360334240351778,375821376715018872,1134093832627133952,845088428087294688,656540144552494776,749138499561012816,1062771848091100536,3464944754584288536,2535182479130902488,562864125289547688,276745401853952256,2306109307467989700,305409629533397180,3175790696606584440,979389060601583412,1767768423567378534,903465097947296640,70566669695417688,1881694328450177280,5119596492648270732,3050254415605645404,5716035290140234496,38996825191553592,259967294784349680,408391913468309194,3110092012523360304,5087025567891232560,1230402963433480236,3806600884590971184,302094635202761160,1389455082654168272,800153695226975322,7853567988468030516,2826087053926710288,827964988674174648,1564299998256840444,4126132694048101440,1872361293696752256,5028133458034466064,2176249386470358636,1909318371311882916,387331508627017164,3202981954009108224,1323023819574230676,847499974403212656,1838464106246543776,143371911140788380,1629534388000619034,177826467458908976,5334557263396050240,6141135053102879928,759787171022604346,2851778051865808344,2110858227730748160,2413429660018787844,4662719431990764588,5848922029450121028,1875567079316466732,63940868633770128,822060399711112380,140376969523905636,467902466675549280,2798194944115621080,1542419438872197528,790973418333743148,2373758386004677104,794362315575699072,5780403974293883088,501045711492876684,2903602559357848832,852798583198833408,3190430863196524764,4348495285505170350,4840852190534669484,4825234154402630976,667284938692914262,447228703632013758,205003824586353600,1793703870749329000,3135571968502572912,5076316756986989976,692404753676336960,1486958158303076664,4088222459460114960,3324845533890783850,3839013277929397728,2838523312518368544,6115946436675556082,5158654399473112314,1293127158288441960,2425739912026025376,520666034263971156,2603214665689452660,4753305898175778664,2848906003805059140,366063320228129856,531489465213680680,1569851703161850132,2567213699973474744,3367047969075755916,1687106125140494256,880082336114970912,2892160478434037140,4090144143481984152,619580767742158860,1155202416959023648,1111579729144112448,915975683366419872,3082182200237962056,2786351872489956000,3748150820759009460,2354113494484076952,3345278253158875248,1487858883812685648,5356884853823833848,3299980647700044648,1558734960845882556,5908945850083542336,2711334763892880792,161011381268068860,4025105968166733500,185491078459941348,3709657001868333120,7718491903994514972,4710081659755597488,1125872234008762752,304942853285647864,1549308192889654776,323967822115718772,1733413359580636356,2272821211952722080,219235140589811820,1672014301011085584,2210272998019333632,1985012058706190928,2636368934146464550,6701315761938731760,787832182763688744,391429302242319872,1466879467988704704,1078144375319905176,311113846694416904,1803219313446153936,669470158301184270,2231468216314949700,2069917752619368288,1579972373178831984,807229467829546964,654312837449162514,48234553320887904,3376268982008845720,2737962944570645190,2560932302306995764,678690070669994112,2203559066483566416,675848878844904072,2219675756835190472,232090433239561248,4937361452464038984,1354660848642355872,7265040438097492794,392178285130353264,850109124978593352,293087162662110090,2344593319125503760,4370052531310994688,737961646670966520,2360434433905245192,4105952747657465936,551362617166067784,199593274895666496,449319978794618376,1426183689131569548,978500714618417400,5445913210071556788,3690680294354272080,2085068956838881104,1612341427883305020,2274352298986273056,373960590853300704,1389395629329283688,857455586891891712,2612563998979135992,957924098959829760,582399028251855312,5138014599669672684,1993162224391125120,3570333136569256896,342852034637515590,761859627576501600,2157952320568526592,42899603880205542,3860793155564493660,3753327793014298560,428807754724604352,4495720959467393424,3325189201696694016,618015402485237952,4363425585049945640,6894223786846313874,2337106528605019152,3216109595360646864,375838912341814656,2684444635790441400,251472043978760336,1885956710784418080,773696751886478304,82898470186933758,3315791795712646320,332201230922981556,3348395178008096040,1016667662456815836,2652779552630625000,444043909411723616,82864258924021200,828605853188118000,911307207461636964,772385954860568328,2614116470527708416,1849118266765426446,1722866841191729232,661273556055625656,2136498989547156580,1477196053075287864,1905270782745119472,2624438214053753740,3325872307851891360,363748436569961442,623375227003887912,155595001870092624,4708217834917677612,1086103835363156356,1179695709919699632,3420430925060713824,5942892457694827008,1090872898902405864,207814795111487952,1092164185958156696,2708800281317639472,1773651722359188654,1843764179252730768,5939644872351409128,3237310897985747952,394644387761650752,623020287289736484,622518891568721664,2694303896613967056,557169125654691426,1932000768611185776,898192199852322976,480389378356877472,4458489449969234736,960326702643889130,1090679483930874432,3378525684806393220,3483900926092766412,3076063987809155904,2861743529845220880,193156413363225568,334381678242379416,835917146698702860,420210109297222576,3369043063156370760,3383251199657207316,3121306161008314536,1644472725688670856,285167306425727616,206053289632740374,296857475603005896,2908658488128078168,2932789234318750740,1725808754550588192,1850505603878050992,654226752938751660,1670175897940244352,5193444148987071552,321161116333892538,4537180616481268992,1531265091097623552,1815263230113736176,3432014148796431822,864129890814182568,1655989323659303248,3015910099468549680,5211854563575626988,3169220888632760064,3932952780774284784,6764433987549306816,2630349816661160810,2566822075344455940,3136496400095156520,745209469589139226,1285781371817861646,75117738279323136,5258008692496188160,1860827929453276992,745111732314630870,3611382610007647280,1242363770169865728,81381723797967048,1085041573482567360,3805906714592384832,354849999576641820,53281453425729064,532790927456703120,45588229690130136,1823448395721228160,3112023153907359576,5497261005100612650,4868100732586156032,191769277003187484,314761601702336976,2774655085367295272,4656490463817499176,5764010726427952896,1485304407260318952,6933118973567857326,5312700730510814592,1445092491447371508,2506520717369302500,3291494338963417620,3397050628549305824,5819090913689429376,1891004423657205312,1813311863125249524,6900284937646535904,1260825901753021344,884526832868102436,1189390341482668236,5361732350758948992,2731287801432221760,1490634877165169472,104620873532979276,1335249995412742464,2369314099279791972,1727875680303888216,3633709875041513730,937179752629400736,2338891022632841664,1145667297775276408,4087633187282695164,1175123240555662080,4129533134021417276,3755227393777568688,639842005352944548,1312970468626111932,236178142019486976,1510636766944850190,1540493274968152536,336529752637378896,729365577781780908,2384006938331517468,119068737374219886,396878212504330920,444430128067000664,208422808254900360,3126203659286040600,3273995836147216960,2520717354308935188,663762337134732648,3905635511559839430,3927971219799926760,3322299282057647616,3220665725281854256,513455127567887076,5954159137314711360,837187995205157904,1348044936514163424,1784001363161455098,2717104856932156096,3238732682286476760,1996415050428721188,1387990220623428988,2387235892684534848,348914165943594456,2907489289684228700,3844553776491281868,680131607940534024,1023988084104073792,4394284061022706500,1824362821336163688,2041516883144780360,1146905590621979664,940813738436783016,952496015325485430,2715728167697060340,672191620160898816,4819492961956489428,414239538877800966,1510977564582860592,3907034260874704440,2234593138043895948,1081552309611123660,3682469135363558184,5255237777251958784,1733470966314328428,4654284903468888156,2362083559845534360,6016036563877524408,5629989189111355728,47933024230079976,1917236079215583360,1929876443192023728,2078260638101504262,2375274357779750154,763727855330086048,625594869589035192,726095873529583956,2336359337204768106,2834412185661472368,378063816863108640,6804847425333845880,551123550337997664,1270558900923405840,3155158541707543392,5851435088912148,263302921937342340,2632912654747654800,594941778617010768,1387341727097379768,840575332112443998,4182830726180565888,3397275749179884240,1221967810815190124,4276240997901420120,670971715029416364,4059456734771493216,3817411921717230816,799256496778959312,1235001417116873840,3594592504790579160,1667491405169923368,814929842972509088,143245970527962708,1671191411481201672,1274515875947093984,560383639568541282,2113744659306697728,110208706603486160,1542853598066035920,1361336742142493436,649126866221948400,5234059279601977776,3339180392617512828,1581283779545688760,906817766237689248,1116848449245750060,1441196430259894956,829365427830450096,2266731407888911656,2455624043421045152,16069810424876598,482072975844354180,2196726414080979024,325633670721966552,3163174222980354990,1842341841005056722,596144418716246112,1786903749942563520,533340914979659892,3809409366902830200,5617666114184366208,852855268801362372,2064606472047518388,4091727765207404010,1263610770429807536,536606283600508392,607478872002294240,2727101805916706864,3933968406883438560,8554208260296336,42769148575037720,213836279732374200,3124979252449053888,3698229174303717504,1227959000012028528,47150239961773476,235740767691281360,1220088473805427632,2575881001543843692,4343519001413689884,2006154031497416256,3803158462754689680,5566410180870735096,141686042705754516,2125196600966192160,776899102426778496,782393571087349584,942350567788568862,1216637965808940108,6918492291344924928,5527117705123779702,264154024028868974,3396115754667258480,1124999587049808384,773826342043715032,754448854067158272,1121983052479115328,2647799914164957640,292282746245765520,1753618888869734880,3043460381446837120,7653937781931642072,1300051309282289604,3132745889523446864,1701652495367974176,4582508732706571776,1314204659584970208,463437749678283426,1632072011610942000,822553505239933344,934748946273372804,2742118711780607352,5992395651100116768,3073500749995623072,3806359504640438550,4445605699735747764,737161998379656048,5703426863587081728,915590471550990432,2615635869711960744,3045118253504796756,6035781452435279104,3875680616590949910,776191440132792012,5509368704561697696,217732209274162404,967655902866659280,5405076207733989728,1963267579505857284,1327745426408392536,609345923618851650,3385105394139472500,4016201609751057216,593098720096962268,5617195025102859648,350403076760838864,4004429466013227520,2594989306342647360,1553042950879663512,2782426215055579708,3919413844557554688,2716266033656541300,1850094742148211312,1253620233995294352,4166242229968055904,6820364715500109120,4804640188041064014,6902728294237556814,5617923112145715456,276414661797386640,1658414623008076560,909475892689665684,838489901494871208,1418950162811866752,645835343604702440,1683973281154802616,2909680223683601088,2785796399540803536,967356431825269644,968474046963799020,980034647424236440,2740051157556022200,257755343699548728,7531333975554015132,4817831685755164416,525990855174823296,4002499415362207482,866098409047942230,645183963625624668,206276888267507264,2578347086754815700,4032219458676550950,937553935423599648,3019630844496234240,7376943235854237804,735171816553295252,392896119448072944,674539232142961008,1526682841951173324,1480468109213990700,3557975166640478976,99173102723227580,488423144130934392,2811687423415062192,145743567490701536,2186056854452021760,1324452434208545856,2358309519482524074,73055135569749552,3287335753519880760,1227368358676464032,89009912761960536,1186746366945214080,1842626401978772472,463803398135640816,3478371699611013480,1165540112365118336,3680481776373019728,51099860190587598,4598784101249271180,4590516283737298920,4897987261152316128,231564173271752520,926215745639156640,1435970056059665400,1860042595046907964,255543327684085170,4599576560167869060,2302508197507960860,726336063016987248,314994720569578632,4899656943840507426,1632747811514909376,1786838699451022344,5220273990678249692,4596257811320654328,5357456797382673060,1414552378229861248,888027467173923384,400394444347514286,4250242933820463488,936615803983499592,1380745563786872784,857849003650239734,6131169468127910112,5761468937563710336,1291926391830737720,4240160778108540780,5356904401560872448,2485596229560004528,1116391354566897744,527727723770096958,568602750235510144,5685776197210475520,166228146880764048,4767969588674498004,416076643708784856,3116346766978162248,2569574435924093730,758332147241758254,1288297237521192624,369986837130878216,230592651809716572,571345163131356708,1529972243484363168,6110933832627878880,4207990220020175544,381578220579692920,4578736295995888320,2779246165770657792,24072995892243104,120359660459137440,2019891331674038448,5360369881401402924,3613934427814291140,2639789184467901528,1663722787025359420,5817508104562174272,676486894322624184,3912023825797013490,170840883624298272,1708333346670846840,3536723143926660380,848070393177508272,3281717415015723816,2438147393854004736,439427053505590536,232198641565308018,2357277886176516352,4868296586020806792,123785650887773160,742681089623307120,3716180439951676680,1509917954863180896,4215448418383552260,486613396827771660,750454409322848496,1854833397193252692,2632287479822444544,5541041883122053104,4326176947183934540,3439635821696285568,1613982443186915604,1947270479066147662,923410392555548040,923805497791296384,578224690339868036,2060309384735926758,693235983017949864,8223194417920608,123342467164481880,2877863761387868400,3897575512808143872,1753564426215797712,114558329637980700,4582130761382812000,3216859334750758608,850787476724425440,6690920194543797872,4041883014868436598,5251621748331941856,4513297527600705256,1962048538743914430,928297851931953672,950270241290865660,4582605385873262016,3234174945249127968,1409156915622820476,1700922010142374848,962405227800465552,4059325134121296288,712776277734171366,631945729268662392,377269256006828928,1886590412475430464,3855056693360166294,1601487580208974240,3048033443019065820,361615001448836304,2259993939235366100,1784842911356511780,2291027391817598304,4902223803891765576,2746747411441581282,1868737533823616256,2106716020666732680,492987711131559468,3834179526779247240,2345780012294571072,1360970106276146112,5673755324094023754,660269144555516244,5677522434122507712,1303417381017894744,1075376843894775136,480439589479504794,4371875300380951980,2695978003321528200,420143594670902448,2614402782492982404,1683423213150779136,430203228391491048,1696043414549097984,4717519246233475056,183549615942598488,271833904516741920,4349150421064135840,1026443130651614832,5876791832824100496,3758109118235461944,1548311406772927566,3398861409348012552,1079864195102810600,883469802783073536,1447744470906944916,3575625257923136250,7138825550536916160,1160090354891236524,3177413678820346776,1245427714790295498,482090296771269792,4820690120699946240,1079568239018790168,221673575513252844,1477758591197285440,2927022198146790912,5089066153313791770,3834023972760834944,3359972096821347420,1950464959775010720,5076049578299357130,1862818329335650272,1035837958525151760,7088620927107152,70883079924594480,1771998768563358000,761611184832594816,269550277210041984,254642192423592078,727517004136005320,189393667611947136,1529224084243395144,6697050193267168464,5525111815339880214,634521909015771192,782689516990199776,932314381976169984,2428801308500637744,358307186552962272,2786710661008890840,3205982708643243456,173533270166155228,97229608951937088,121531646668946880,3184089086436760854,91972110919550436,466251301075617984,582788402387779880,2638753654666427856,4540781083526890416,2541218166063517520,6209335228542778560,64724167766011932,970819667227640340,870183653310901824,4079242191722121072,454392652888414500,1649703030362516088,999328341458778552,2992929864983638912,4760467324780119456,5497432297951536516,424035698191174688,1594315424980444512,2442386128569190848,263222825270478124,3643335709760016864,2258668364271473880,3153578074888977792,277741884933570348,2112643873880795136,712088418595267488,2610803416837362384,2046721403765411766,1599513076716301944,254536468958532816,7422602645165120064,3029877842279056692,2994625228550543520,605068739084682648,89002786669537074,1483314324115656300,772805643298606488,3391063553548082048,2396458252583379792,497162948812805772,4595672033184287616,3121520234772742656,326102054878492530,5869578000716193060,4530319089594068772,735014876268609600,1890425815874410896,855568809692771580,3357398875322114496,657280606042459476,3892085473554113262,2821707055461778176,2965666909979088080,5423259477744910032,52127130156550104,651560380719331100,443790209981603808,283061091306850920,4448366167469241648,1215769027007115432,615898875589811472,580529036132453824,2961064610080377570,2303464448566143288,6448938256590934016,660859115280488424,2182402794679204302,3631550451507065268,599604870150115104,3372406884304063296,3509812593732855710,898069971735909864,2552201952668832576,1109463449930791956,1054737104552768304,549602960395550886,3663858119385451440,96818954161106208,438829153534422504,1908982481616548752,3346976036570921280,5483000702336744928,3381727411742527912,5837547261709618992,3016391604636680424,54204290367810840,722691995655841200,542715693297691608,371402110697553408,2785392977588234640,2113141954197096540,629706289438490964,249786632058472584,2497756158317021760,5851259843478036608,4062448661682056976,899365080164260320,4795853356353823632,547185190172400468,651483295573762728,2053355460932199492,2831335452626554080,2586165013683851220,81421939295852388,1628366974549107840,1274143610637581076,2233090325636579992,438425807910076824,195084515217159480,590564347542033920,2590781760611542224,4000566733509125844,2001732464881742424,672338843653332612,5064836312936978046,2651894767541725468,1080736689768790176,1395515621014065408,121858059774188208,2437053735049179840,1902519617538220416,4248209885727086820,436147965200166270,620792883591830640,5431698234520937400,197071472657567808,1477970878722493860,1930258699697565210,2190352013855679960,293867156446416900,861285104959514466,1869587674426505190,313419482418897096,4519813223885632064,2046335947588814496,6673534968186482160,3811981631994424992,1438238695981052592,512259707955486132,5959265059378903118,5655990491163765564,1125324063234287136,653667428429839352,6302208778609988322,1082108997281722704,5519158149192162464,206755007684715216,3101188404224239920,302905014884076024,673092583592882880,5587114479341356038,560227395002139604,1170422301273624960,629530824173542992,1530288322905099790,4444669122309540666,3965056543146680280,4959640885470899584,1902245511022353558,1611019497876674592,1212011714054890304,145331946796418712,1453255412072223960,1272392442001129944,2461076967955397328,506852567106336792,792726420975253810,693652412537478558,1203986415102491904,138607849356404752,2425530460062478020,90367590015143424,451818036848808960,487448513738847360,1455015418907005296,3055836440725977888,91596332860979880,244888993864681776,3060977522448540300,696537848132409390,1615279750865079444,256728190319199328,25420900436763174,217883830353682680,363123714837059200,1707834918050718336,2981831941895624412,842275632020158416,2201420062754605332,4533774239224834848,4597493380525959780,4143813757300123020,5400350331485047704,64310324212453596,1071791508610920900,435442501758652236,252918428493215100,5058145689832116000,2234040112843128162,3692952432184815912,1244636525626924752,563034195704314368,4222570414655614080,1867778117032759632,367848715272626328,1582426778619151872,305736523011218376,6878768692142142180,4886805648209143488,2777098235926573656,721998369941691420,1569184319426431136,2037014376794745024,3357855194624238528,1428985053153588012,636888009002269368,4372200642195236928,1913494245257920836,1565717772426663042,133475391229100832,1334695113183495040,1554909774197556768,194273748047721972,828490616272489422,2314013188353201048,4481415009132900984,645836549124764484,488341955258538678,3096464760997447500,893774373449753312,2644615832329066680,1210867091352186156,220228458142247712,734062525697810160,2224960262626721004,3576314411629658064,5072222584914745968,7031999832679476864,141328276624379394,1682553943981432422,4448485366217763552,3405366048773540100,844636041434411778,776016978972918774,631360698241600292,49760149019614488,2487897874521504900,2145695963942913810,3021783304508557632,4007037575349323460,1038345124104209826,266613287012609460,2132812364172181440,1324399832097162816,4532609499600162132,3885835654926843750,105747705093680872,1851630556250992716,1061892565823403216,798066219761648496,2392352756925614340,3687432742383760440,1267933033972832832,2933511011441984664,2088018230803924608,557265726478888440,1052504416308811272,385944129337478010,2315562810683520840,399059572189791072,5130540010072337580,3560015356471912008,2478928292076971952,602885394603343764,71193525512780578,5695231269042437280,621747564807393888,3890382349353495464,904010169341472432,796519249814813130,717166822510510848,347369525914420296,141031013183926272,705124020277309440,490950822577642944,753357356310503136,3277740413259039348,478991360845084992,4856511598710189264,668059231991150960,4370422779180220482,2414852687068805880,589332152715903996,5893062088076911440,6124185942361537968,14796262909603692,172615468184339040,493165341417175200,6123222914351096096,20877571958845968,182670713183868840,1043786698043468800,59327987594358882,2373015042823704720,7494098984503558416,3386743136711665860,4120899700585325130,2372193953655480024,831522858247746576,667147734528933096,6509005679107467054,2172699348033920220,194075930094962880,120740441993229156,357792173486198454,898387052546043060,293179139334533688,511095407721788736,2569636411905542796,71356086248721620,2854117830892905600,851503327084474560,30881592777452956,132343858611997560,882253561358241600,496002481555198920,1608316623242204436,3196565947776135888,2397553599634697856,202524740922499152,3037737425791889160,7362489136128866010,2160825214292185104,617462650964650752,4866682178908964178,2516327500662085824,4193420961957175368,346084234620803756,2471921468587046100,5604006973714482960,1295999883391489584,925608632629960032,3467475898084795950,3210754949937040268,2410799238601911360,452194610968044648,2009665396500032480,3129245233366007880,1129012729547469624,925509710072311040,309018947495692632,4181098943831144868,915373644817030960,134462145505111992,1985989246942421736,5796930524768373360,3233450197495855848,1137738216628237320,1201892639027952972,3687712582286880576,633087735183496368,3316735410756142848,3018682774057925664,3822704737769089440,95073282061619976,1267587994135080960,5894383328927173104,1761043082657748516,3923142935245624080,1528737570479271852,488878280269437256,2605651944851730600,1746262775341041804,4418888854225076736,5273440180986344688,5428003868655350556,1029991279494497536,440225152270443204,831038208880984950,3259482099984318616,3671409864325688604,649163857577571072,3879086280304302270,404932764092279742,1005540034822019088,792932826663771420,921394739934424746,3714735375458075934,1580225004138006912,3383066973417045408,5020730058958935372,498228969102271708,6739451062354351440,1430118473469690096,2643797608124268904,390540293621090712,1557698316207632496,566625625108995520,286776263797370766,1642363740109499310,745530920438590024,1368946973094527568,371118729133026360,1484409634990798560,4564749793809889824,2390528057330771424,425323614535156528,1594893416837834340,1198798111309927680,6349132834439544072,572906180167191888,979742291359507002,727951450983087772,2561292162509324640,94760508044095608,947563413277851760,1526494896526671720,124048657425587616,137825781155475360,4260426772877275152,251659216923060288,6602740118238972288,3859628075576267076,4625681337861262038,133344223870901248,4000150834947463680,4493637091767114756,726294164067777932,4001183513316042624,6974089489397655360,1132263148789707536,1140137800797561156,3147372286317825120,3407430148751176668,1622086713177405264,2699366953332829248,1666072832838510712,6527015132594548824,3939345893707497504,4196777264263408740,1412481559044691584,5979418205835713544,729981662171138558,3248876079133645608,2770127646043073472,335184872894187008,2513776042310369760,3109813724048367864,1384759887109394752,125445674820369024,418133869164581760,6426678172297638976,433233384571505556,661436582544454320,1032008662311806216,93977077277966988,2349323667048775200,1431837137637903060,4412835550918478640,450853134460946904,2014095849062098340,2414310494406779808,290704120317694224,6540555236014836360,4636646722440983808,703919207123738304,323656798003788762,2517220018448435580,661720103928394272,4662560838455503632,353684067129312804,670364055493553916,6565160447326634496,2453359356493656336,455832179210123556,4143518643154675512,114867624215270688,287156441174237760,2369062258206805624,92399990414485590,923959301091274800,483458029952311848,5377054544271614358,550528348090830084,519930145182487508,4456348278788170080,2726656169681619936,499663866906754144,6423967441131563520,393060346711430112,558395115502667272,1577623730418148644,1607245671931384512,1615866111189679360,2812031758381433448,287180666605460484,343320385691604024,558488905463611944,1861547894635020120,2755418958659756862,3201157848793376664,1397095967749002240,2131003892957728976,544220787961997592,1036003328218381248,375203829073999824,3673871770432605642,4274294402760309576,3462939626119868592,956639381312061312,3429865943802463860,1325606341491201376,5126653633001131896,3517255205636177808,7282003302858636036,4096062030741752016,473014490511066336,4729937127278410880,83903385575500992,1677994001676092160,3308825647989394688,5378827854026731104,214561324035221652,1616802954995805122,2504462836574045952,368886170984396256,2897934830934997788,3474334365362733210,1293246913846510368,3777481500470975424,3084000779968397100,454120397143542240,533967606491737632,6006871744644367440,3921707522387532690,812921245640995326,1485576432266944512,174348599286481488,365657571260679192,4875220171580024640,1850778502897942404,1122256218301915008,3387130608282097464,3192951921149858112,3761809055120942016,765167319784541592,3233423103010735404,1243406702063670390,3124205647841932896,970913517912551904,5964776842089532608,729618597779265504,2280543546339122688,3942196385072298096,1371084239939839836,521105632116009456,2772829893380354088,837043937574472320,7407512388262225116,3996524051065095396,5443440563061785592,1700366816011146336,444670911618132928,244962641049265050,4613832908159820768,509022965137357728,432301970209634058,610082427300277050,2659898411318832992,1317997178863539048,1735838030309972490,248593944544756056,6446990087961157824,498911241301068624,7104336913585964970,3010970513538075618,2477650738465562472,700328012702622716,854748923837804964,1319509816370308728,3118319063322065616,1909098282916351296,3535244455847125440,353596558310865968,533000377117291968,487959259609489080,1091307913429454864,4197197356182654192,419870833193392992,2102793547302875840,79455939311355750,617963513658172500,348201097009696832,435232267194199560,1094060255850928590,6513695922968860662,2097487373520702816,418292885352695328,2066661685838845860,6994878007948190784,884908203273861888,1068708102956183712,1550344073371952220,5256395296178766102,7266487458353444496,524658822408167472,856017202520806272,3700571851431506144,3890266421923791000,1034020678143627360,4085016608518570782,1730000994904162350,317492933727775608,439590679097140592,4167956289965079744,1255451880595261356,700252447490041536,328715365611408684,6177258162539595024,708034019472983864,467932071136409280,488246877207229440,1244825849147023026,2724894973662708330,1684682317084196736,128327909333937720,855481858029958800,1388114035871574564,3498098246107111200,1464266298213140160,309134046207656352,2831185614161784472,1501997860225790208,403899913763462304,6192350625483845064,894078937393919520,451339762074430944,1162857634388385856,2366221812407482068,593481991508493876,433396314170227056,2166886505471779080,2617119399985121160,1468732242916587012,1693760984798678112,382070380085592000,1910268097810910000,1178740260179881740,132691914490498368,1658576172438873400,3222731919354750936,2091341185241525208,1441415773373966768,3080635766419493376,4022251693261738368,54430633203207732,302379142851218400,3023658797405772000,1704173508426403278,1099439898498804240,1050603335905229712,697684282918178544,3260886934015833540,4655508129003237534,3177103302832819712,3307149125102669856,1575344822902128744,1392091214430368584,268572421907976528,3544748213244427728,318222393822966416,1363750448002849440,3277193377335106680,1776664157296468944,2713772395033106292,2050817294012864580,366317014667836360,732601901009345760,4459373530735074336,3107682397413565788,1305601618490171904,4775759375141473128,2615068733463227796,893852651761603350,463622900579062272,1939094913668504448,4345927610662599444,5012009368085265228,1108742251271939232,2647020275890242120,1959749067759228396,1170826220292790776,420234908704190532,49021686111977520,2205879153624314100,3119817245170190544,841239093769314336,2382836379058130656,944743882057124196,1093914379698017580,457685688510009168,2002336589277699600,1991078857978766028,7114380502268742138,388369267092817416,2172628489991270688,1263014509339388604,173866403717485050,2781740506605403200,411730875342297408,1612403384857175754,3286909691049153312,937864220048564928,1865044595834350524,2612466317414646126,786059788939721784,2956858867692255360,70893574777939488,1417809344819821640,2060521383277100760,3130770408042315648,2528245844281714976,4597327780208244774,2905178846979220488,2937300923179400360,169139233584202680,676527280827493320,136028068018679328,906814040227860480,1088415929984935860,1747124411011033512,409326062249777094,1513334022229682352,119471016950725088,1194657809881519320,945490159160048502,1033367381486712016,815428544490852720,1593802739928002532,3248245926926129962,2826552955523400360,2167368148961840160,831508842466852848,4935334976624893104,4333276284392331936,1105565610869081328,1052068222511161416,1811446429751574588,174221050234620456,75169412680889088,751661188652124360,2971527539120312704,155978529957258960,3119433908532160800,298545009016506986,971058927389647668,3444740448647409900,1789256021020916096,1140329071831226184,5621536663147359072,2895736147584986112,2586011647776606288,1870985772351110310,1639690435725499216,767307479367702816,883271347000626960,604450539377819376,523644439326026202,79827399376176672,5587673152847164960,2925588190791147372,5698959597126167280,1386733292687421576,2755258932607972560,858094871523141540,638095738393431450,2661831540326661408,1369444965097443300,2173480284768129162,750097139390313528,75861792497598816,663761607912706240,115911129126053214,1634093856377799330,2314286032628931576,673287900561211716,4059509408339075712,5645286348290203188,1151612134604521128,1531340296887996288,1179406340761316514,146244436469725272,1671291785286205440,2976880461169111784,373183190790791400,808901476353468144,1613831039563808772,388811758518152064,2785723720258324356,484375913867343410,4112613000058469040,1006838832282981720,1752452755336090540,893499146271018720,495867071414496672,1632692676902797792,3779688499470453060,306957327694367544,6138877717546187520,958048877978562780,2027979738381841728,205991467040303270,2471789363662087920,6358980453664776192,936728154585401772,4224437046810289680,2058533123143723296,3580980308253490016,2569553215447746480,3595044462915040410,3255719135054643504,2644881396205470048,2030680295589844080,321186523100407426,458817800990934720,3909736083197290860,1334065951112187930,488891470722362976,3132574951548604128,711984224891868832,475285969602142344,3576686930412408180,4584580780841490528,111226652977637016,281832693416801274,1635785900262516370,1560982512388500168,664172095000934352,2489987574736643274,6622116919308215568,4028901202037622960,2345092731760748048,259072542533709690,2590612020642944100,1205201769124050384,3137498346593185344,498481419846681216,8532772507498540,51194394123838560,170640511086880800,186891672420094224,3270461115012842520,4185817968325280160,253874665384553536,446940781281163818,4469212198422341460,4088223425973227200,2130429041722106028,4185120203913140892,2010181303191529960,242947342665205440,1943493681698027520,711681347874349070,481848040047248748,3358961302754902200,668442546590792512,50349967960063824,251738822860770960,629319516321043600,1467365020364632824,745614036057773850,4940894816507325144,3867088912512301680,1365596544952313220,2198481363164378538,2354572433075042088,388490610776976972,5124967764688756224,4328605057073333256,4672126594908634176,311180439924480448,3500626774321295640,2874225523661609280,776562045735012076,1848904464250856376,3574628348375031984,947824857122983956,5258244157752676398,333742441948939584,5005917608299498440,4734178095458599584,1073248374482039214,1820829947397342420,1642626932423317920,4002437251027662210,1652946968193879606,2163086313470823552,2633315834019519504,248354489395535490,2482150207478196744,6572482160407617696,6109259816688385856,369961685095212612,969822064182731760,1419343074873745440,355134613217781924,1200495710653579860,2981651963341811952,13498132174231572,314942641060259520,2249491896305871000,3247447954991633910,2681054173739789424,496260293950810908,824969366503927590,4011544192196773110,4608313463794505696,4775348928099818304,3587639016714365298,483480779513453472,4705595599688172288,3575216903414033988,3981085197092994936,158315719501383192,175898662107023520,314217278397540768,440591983643284956,1097675304319780656,4210205786881451648,2707949597006111976,1583963683046487882,1273752748209638752,4222476958823615592,2536715275213366368,657122885772224130,671893433933258988,293085881826907728,901552962504184184,1872457339650011550,1753738066541796624,754315958521280580,104268369881299392,347546036247700620,339140425695129248,214155800635500240,2569757247137691360,151110729193292490,4108507204027029444,711544338722722824,6473476967377352112,5246860560116020056,139714404469086798,1862777284511653120,3158238775703231880,1536390360374121120,2973215860769294470,986502185930407176,4090847896611828720,1496606790411215028,399976290422890128,999897014039387040,267359229196313328,2227896183044320200,654072701595190260,4759152543957198552,4507322670256938408,434348449998369984,1085823660450243680,951380412005844672,5033724535335014880,513663219778460026,183866370152130528,939041943946528440,454598010256462464,5600340514276378452,4008364543828026954,981983448583746600,1595027518063003464,3837747226711443738,3188679142087145904,2545476085816258056,2687872294145258496,238345265380554464,2979185612745553200,733711897961079552,737449200151677824,1162663488879182136,287994711777717948,2837728390327977916,6791604580073359584,246503681974300284,3669859607765778522,7009004399648125104,3291927105053244996,1795799486751549180,293209105601294592,3667170637425937632,2306660644273372200,2945213821122366780,1572809199794467140,1777197883752761408,321090170348393460,5164902527126699574,1567898834469351656,3789408107737095804,357117533098775040,137185627921860116,685898171107633140,1329810302780430240,562027281055550916,1577145071818606752,1815005916219562668,282133452014797068,698962540549194576,1792476094103156484,687754147308559272,860474544714243072,4272068901399927348,1009735899220378206,141726087876986712,4960196386522680240,496708485013069824,25351132085432964,1267501234692925800,128698430181777744,643464042467586840,3351318667710681630,1035850083814486188,2620191736714349088,6440748882987738816,1281798210273707764,5166993898561373808,5567000763894033024,745846071847729136,3491594438566347648,248709466317909810,88690565706526220,1064240305926261120,382904643235084236,2719909584181480164,1254871057779785160,409237429475472840,4092195571670212200,1661658008322232536,5096722824979996056,3493205927941079520,808641488594320128,5265971078622409512,1067622590832708096,1817900238395742420,345323501501416692,1140367856674948944,5645626606188165828,3312912541345090320,276292138709094552,2302333952495956200,3941172271314371520,814609459406535020,5960869396290696432,151362937381634298,4036168758788148160,783183888594132816,889909897720192722,499898567342164078,66306291788824704,1989101905381736640,378067426997631728,1620218232491412960,468891867072526536,1737680678820694080,155941324209127704,2339017744205642760,4277235362873083072,2862337567789292256,581787338183592552,3550105971085365232,1316829332553142320,16463894386994928,164631756837867720,3292491404131149600,1116458404061667456,4572726012628104296,782162856253803438,3858569222690256966,360630052915499560,1122971320172604672,4697322165481506948,1311785890159387038,266348789021482920,399662348926953384,1423743603790025824,2198158153967272896,1137439462152287088,3042913218304603584,4675244927913145764,537398152794277656,448171176735951328,1197942276030227136,730339316417800386,2378143485855361584,1619174950904275236,2362566019903856640,4349478095612157970,3748153146332474736,2327093219154415200,366153579111860580,3661376007433965300,3032600141586452448,1180044225364250904,651454331595224256,7162612627161712986,1723747126501386366,9236935342810944,184730645838283920,1539354877256129000,3706972104005993844,3928728690280466604,792530893149942000,1631067613591951062,1032040486289011248,399262327376370480,4790938888705332960,3627383723830094796,1528186191001490410,2982292074366910260,1125431060021938680,1222106513052754192,743058067217462676,435993059375758944,261000218137121980,301503006489461028,6189954797429272782,2562411881494999616,3720300651841866240,128307050656438452,5773565408793724980,4069851861318348816,1589662164455613864,4423960744896639044,2919673571693025390,932481878277169044,650180280485059944,3700245498416603136,1481396562030919824,3838343498791225344,168759679893232860,344697412925412792,2954420386674758880,65840775890944152,470270744432587200,972024124530437424,792030862482110196,4105665241570113696,2039482097038494416,913710068348331564,2845540432971961380,5187557989457930720,3011730068344048992,481773250539959022,4722988546010085564,1510623669001963536,370694372594194224,417025080347048074,464416255863643140,773993339897718600,3360952172187855648,4144713956576574948,513084496529088030,1543447135325255552,2272760427278260512,3859763620595186340,2484726142053835974,1383028530531308280,2802665350691031672,5935631952487407678,150055929257979492,3000987734114903040,559355209925228784,799539925180248462,2269313973300005058,7091600384630660796,4663736047935814608,1372853003437953720,876381177891591534,4210118594145738648,588963402943325580,1323101815354574288,36901762696522896,369001539928280640,419431123046357856,1847695080813457104,3719544352302929850,2450457326914374144,4070321610699775920,6267515116358397648,4297716950175550638,4129505370463763160,2405499300385340544,334274382946667008,331200136570238172,1103952334429709280,821935188418267744,190267974430485840,2140421415816039300,743999493147818008,86348264355689352,325113582371762646,3715421859153109920,1678289767475444640,4156170286478615424,3526076268653605776,3902418041943980592,5503683228216766236,1022605968899463648,1700116771249426752,491693727956412396,134861396742379904,505708198899243120,472269978705357108,2623607769348999400,2783804736943798464,213739079987755392,4539925929454499772,437314347824767668,5771622598853447376,2793466203274549104,1359161257578867612,2694454790009875740,2866330755451515660,41013413414696160,546821685492363600,4407072308873558064,4285050302610802368,1226871712396901556,65621343485788650,281222076290224500,364299715314780444,1593528741896435296,5761610413542639072,3375448114328364360,448553655557214208,3666961967672074896,2006499721352774790,6000707436772283552,479162724847441668,1563053044168274976,4272549338815756938,1338721249554415860,1015580906740987488,123238729707679536,2464667228303295840,1360802547871488378,1835957361515785200,2052197946565017120,1669581834555180168,2263492421294395668,622937242540340496,2229967625415355440,3455862811737120450,4633738790398430688,431797602716961780,242564253539527040,970214756129846280,6983943874993634670,1275466176680542728,884274755323506300,832427668620176256,3434923456309149804,126294147169514712,631443235590379440,475268459537826036,2716113459852811800,1091011830737165568,850662321543041244,783334644247879284,4608176007794983764,533776506952419712,6004724215712446080,1248743106731539584,4478728984246474644,674438400237492360,2137931619454241712,4129182904082133816,3098759985032486940,1395011701219247520,3125897082734677416,865744759883887728,536022777149587428,950944813706235712,2737037148897417840,330166067332051764,182376965580101568,2735535382440716160,1957912632063150720,101900709267728976,452872324546120320,2228296145890726296,2967349627521799248,188914586642998668,1046676717476706672,4451644260209618172,128595581903069376,5143599360160648320,2202991461567504126,191736137118898944,1704247030844804160,2013269741671551664,152471846897076564,2845094415426940464,4845453538465354496,2907195592187096208,380747150353632252,4434865656422394368,3320659004439569880,814200725005793712,4894302914397688482,4474445883032024064,6430088946566120976,5120287580556220864,5673254215909145424,1175257770244761408,928021507404302180,1381177157474976768,1352332908512570664,776616284397624816,450832760555355072,5519751518513114064,2386439012795545752,3632710410365339520,2292063572398270176,1958872784322348492,129483549384676668,431593050093486480,4382608315419239192,3440316524500908468,93296676979337292,1399389262094018880,1807994824134018660,2381165195238077094,914333658810683016,4269459395755524168,1853298859712393952,492162899763971698,388572657542739648,4371252207927168960,1592772359296782280,3276021773458302510,446117658108107616,5018605309953727920,6339726806619918096,2743442178455294520,615498069475879348,1415863922370768144,4622832264694373100,877943494125189856,1428324783651826890,421481216858303004,781992782838983200,3761533928933464530,1967054590608981714,1687322574736611648,6796213959884409432,991177961653223784,348275035369952464,3482598868607300160,2369927453810771520,528295353189710214,1244895757483774032,652281374600950080,361702480201689132,1183305793954021794,1399146585537434184,2025981140796223808,1585953502223363328,1801317069277799940,716868110092337344,1020847033776492576,476742623985152208,2334503772002038038,3868102267056937008,1561489923982315320,509916749593322472,1171808670512331720,5054405535786749604,5143021837453379264,101860791379593144,1018563621482146440,1603491374536223228,2677989455619609888,1894900522312240128,2906336729102808936,2374350228466447050,2481811352827246944,3721371715411474124,1815871131871766976,975902590507527540,159094745214652512,176764253643181440,588661562440766448,661425001280301054,664624221308819520,519096172508434908,660760942989184608,63564896764307784,3813728005277847360,5490093374684448128,2680797671289236268,2360046651071877504,1847393305424379456,1379031323944600896,3333089269611629952,469874088973383720,3284342706394161756,410423058232940784,55868165464640030,3910601595347993700,4373594115689919168,25804727519975008,96763522223451420,967593164860675800,3984466606302764020,1368144689081429184,3290251880490156468,2928771601657159328,686763614215751400,2821088662333690140,6293154605015063104,1750458636637893558,1535386159288397988,87692214987157088,271240276847662392,2712284895345924720,1850330057977500672,2627375695896728592,676809396817255044,947582160575531628,3851859659843143140,847867044990722592,390374549605986340,1337090908470083712,753845238329283744,2413688884075421172,255803457566361402,396216857644433694,512083560416923164,538664839002230976,1873705537324501398,1255881638411713710,690639639136089984,493701910766001396,4936804614042184620,5080671659408501664,4154743606050228888,916290925699822336,1620306525574045170,551613685149714528,6002410023216875952,204051912202612752,424249983949120692,808159296307288200,1617081564577281984,15621540353377200,156208617704001000,2343027483913635000,359223651552254784,1442808929358555648,375627760084927272,1050033817226714352,1815773656658014692,3618272043031807872,6315608997908945856,3752771371464310932,601154479767158328,358336417995486612,1765466265905450380,1203216689304947328,5269815333157335516,812523104956156512,1249327345246501896,764857257022926900,1869553250475996352,5735370076528298580,721618547623770498,5307162847497202076,1900369362210766056,2237145915125378592,1735707604145352498,2200339197088968096,5054638554220791816,3058300150191538528,2678950216980295734,4194218515206290004,1372782927395400752,613071330595920432,429826842789060948,792354423884958450,1766349047910339072,2377580391532769472,1484396864695187310,4389655697410952016,3235628913773207040,18316219126820224,915771196161429600,873751124856820848,4570623296786661504,67933436110682076,2037914607717388980,2392416329836455384,1153435522072600224,2167928674231710096,5424832353098863632,2316203007026372268,503566971761281536,297714209675378364,992337621535238220,499670652867165792,213526009510407264,1334479632059923200,2007046184451249744,545046866968878612,819635473006851264,874469081415490032,574382569049709488,102887859201047262,1784450102628222432,2475921660514956544,4946232477738758274,3969232572313833264,339996266415804416,798316983414064152,325650013929448392,17113583642483676,684513638326624320,250709590893203280,2005589688479645360,1451184697264881504,1422301094762918832,421124148323679448,738470013821819400,1884706527326802624,4472065248540619056,206467866738784152,1817168443637275872,2585781250696737750,2726931397524083712,188341619949823152,273316976776345476,318129709136668902,2299027107453153444,1675821738922767744,165027318859881810,202666633389391680,810631362516597760,174956875703165880,2041074995762079900,1003223017993090428,563820319268795664,2160561793458735744,2007710864757871966,2271847117109416110,2083589673131704320,1527351872901177152,3602480814478663056,2983740046663031856,3071951145664736016,2055366019782185376,523178091406041594,2029499385445387720,300949767463619520,3009367137466324800,2179446532835473088,623563094803130988,4246561011248884356,875575652228784624,2145184592941313100,1436663928679713648,375656921929092992,540698641543269936,1166799261506737752,1653944060120488944,1379087312285092608,4622568316584230400,303383171244428396,1426264650291634452,3507754228486024560,2930099469492103120,938609886069144504,739266272881036848,1444056103566794916,7208356968013068216,6999065227666638018,4363609476080178896,5070804237645468672,714645372969826452,2877872605202673328,3839862519223954920,3150061888477353444,2902460573472734880,72214658363350944,1444230547285115520,1790630193426478704,2299928884225463376,3104125817555273280,4694681174205043056,494386834347745416,251890962758400096,629700106600369340,2706221813565976392,1712426285579151840,640365980502096768,4760153567762156244,1417124075770957644,2840012727826037040,4070040386792105088,3258008740140669288,2866074036307955704,244112685172021080,22279692137314008,1002542688868716540,934271322671098782,4947700197350299788,3892075013844021984,541049162867493696,4057692844771219680,1032615923970571776,931525966811894208,2897089289025166224,181878021305758608,454675347202362480,2676180576560840832,273507318752675864,986440866584103342,719502397259617584,799412463229137040,3881467556669815530,545426783851497702,1928376098346355824,116404509809351808,258665479249964160,3932018798297377712,626429711754643968,1696133307403398276,161534154871724418,358949234719915560,382955562870805776,1557868432480276480,5688194492370355152,698006058506345412,1704320942664213984,283487819476461552,5669510744459702880,1351527078097103888,2427617583952701504,1576462091920818624,670736221537571166,4432846615423276512,1448226099077456832,213648530485050892,1831193786676502440,1945901404939089906,621906399101564992,2332047970980774720,2822112556919058030,336873484181332638,1497150630616816320,539249002880569632,4698131362199916384,1600985659404353508,1329534817189331940,2054172954758938816,496578548609086482,161620895955990888,4309703889438397440,1166726305791131472,688497916618319274,1387709112094031232,534366003581879904,4866545942632184256,2418183220365665584,2655180311948355708,423377765935697400,464073004553909080,1439421461370608256,5564003586590564976,4478184009728816856,2355843042927087768,868300623134872056,3422701629805150128,933954456486791808,237647885373893844,6211012219852170368,2254973837029885608,37677459894724188,3014066280577954560,5111775602968854384,80719029687518946,51544125137952216,368156381928370200,2208842654180797800,1157085034030162062,53600252157092976,4823813844070943040,1686168408815070492,164298409563517614,704105557616003040,2991825107320220704,1136910276049630728,1331758011714654006,1768474858140687440,2121431448800721600,1969142192860863120,508024938252499952,5080029474512108160,1510674981706551384,3244750414608972654,3677264439536405268,811565244051251940,102634995847606904,909099949181261064,4722617029080992496,354612698138575104,1751331472081187760,920827357727592168,672718738501220158,672623296626579024,1342535404465238016,322355058095336624,35667024592119870,356654810382298800,3566393757365042000,743553466953820704,743948679990452886,672655678319427616,380440935016165224,2536163148000513240,469082424928185580,5987951611501229568,598502981155806072,3584206053128067948,770570700286827636,659606145221063592,1049455387149493120,3516924541248725796,939844991872392624,4519480755744055968,2095588152052735032,900732009014055396,1216449718895601564,1488084504666625116,861554208077997120,763104998378552616,2843377858113113268,3747395069381764800,628148457522748008,2988984269444474088,292366973102025582,530389971112025244,3105424508165466624,2727137969729298972,705285885026283776,6047242520508409536,338505780462841824,1364078861987304792,707294607714635304,2772424462445791488,1654509816241672512,1461115102752994536,463276632029207436,5814422628647456880,410178292392452760,46172545353149316,2077674678634033620,2856383329531048992,2290794928484949504,3694244359822999088,4426054401589322670,1486931089668585552,522784619117256152,1560530395859595006,1906150691484093384,1550660047220752952,5231376046390030488,469280547273568716,6774550006361124888,356181654266610336,374791161483649512,1683047967611523936,300372370567730982,3003593828812067880,603447851617357824,2848035155088948312,4486143996265129704,1541463931608524280,4854273751834000956,1689342181720489116,112566254507581932,3939648575656628520,161082183981614904,1073834800293904840,2366110169049846576,1366442355326752704,925162731325756128,5043793405424040036,80450478955763748,1608940024295724640,210150379675063200,1260847772956199700,1337053313448318420,3818843212053713472,4759334490816791208,769166560958405742,4231424177272431216,4114569924800214912,1842330589225650480,2508117530558472480,1209534918606332340,32012818829913344,640228704740417040,93384910917453120,1680855749019699840,1659061326182888016,1514184020500838976,1207036723517679032,2802310605535062492,6240932726156310600,1142677631663809648,729960190766380830,3322923148483770870,1134610921835969632,1352378793874848696,4786979943959862570,2191302007766842592,4951892268345065568,1426588321798686816,772376253449327392,4547589437077165776,238994183955698712,3599911755748627776,25255391768350290,252543005909540100,845056578112948944,3681450349941705768,572183810724478218,475588719099806886,2371615584226220772,5272080237509271144,3037098887130255376,5560800384118753404,3699242357489318592,3017590367898929740,1420622291099029518,6103687355546679600,1438657782381696588,261360048805377984,1451937550591189200,520816152713610314,884550786030000576,3610801007101838880,4338120542557827440,3286863989533286520,220326913810827264,5534669634476093424,5317830135601785162,2101126322799391572,2931445316951862624,568037009447316864,35025048287963316,1225823747558249980,1143593915460118584,321811090414301376,4137392479332797640,3140459858982229950,3622756332742944840,611728203149854344,451686709405730268,2684341278794948544,2894678074170943232,3551712759065357568,1415509518444108210,750719906508746570,2560521026270391744,3872401542399316416,79979905182102244,19239814048788198,448909611362500680,1923815268792878400,265811043983051136,1328997838799533440,1496311623777826240,4291397503571026884,1735567830288979038,233435441852599026,3740837874141043440,688547166487612848,541377912303595272,1311806851492816296,646506905276354112,2561338093126563756,3271067948844744846,3543676899814429950,4469365535289256944,314006190162077952,4570944430843510452,3387390703861972038,332506813947371136,231798202496146008,386313662761983380,6235659682753714704,4117734180383814816,669988917551418416,540274921861439556,648158694538962348,2878591754225218240,1895972054204935908,1043928187086921216,3727032062906762464,4184876518294930920,3821948007103276992,129640312510308512,324086795273664720,72387374719973472,4343055063925110720,879690779735760528,2460667025167048368,2099566916394903036,4640579951149394448,882218485455947352,565063507842555602,107708686087638672,285262754679852084,1909096211356060776,89114951491546752,1113888833256355200,5155196450254301696,110862799293283752,2219052305860646466,11351379740153616,189181500448258800,2648426746541158800,1235118295962770512,4448579368351135332,71689980379462992,2150606634580207080,62244821583825672,311210682758192640,1529510020761482936,1052891721158227164,2586266920312796520,1702149373963953184,899148056765132880,4366942714368325938,2804139171521907064,5456850040886787456,1479305922291987984,926309825335730220,541519210849411512,2344379763235159188,557046278701550928,2476488188582258868,1517095771020639528,4407883871506024224,2285721929001875868,502882435316245686,854712015726994728,954335463801014664,140885913374173440,2535837085833603120,2230163065598079810,2539499058232759800,336302829291371664,1409581288771869864,2597469749915041656,1886886098900508500,5512535037548631216,3558471451650434268,798144561861633212,357118566949504800,793562599877802000,136893551607228240,1368876496881261600,785676050302579056,3116398614326839008,1361864849959096272,2358700239707319960,1101553609842002664,3585515568923445864,1914713702465919540,3350320762849192880,1146686099918616864,5968767782955583584,314099034987509984,6174918740255868432,2446606862110770624,589086427645371532,2909452138314068304,3828395930041532256,96658880437692976,2899641430101162240,191953077746383272,340665799179593228,996331048008645888,4104333478682663652,1227457345632403420,4897895174150246736,5378020932145967172,3157084989245179832,4513295935898787600,822806414636553186,2704114586570592832,4946552764308833832,4524381030693531024,2636779136773181532,2248487791462830900,3865447736944965360,1577088462026003568,7069314883876065918,3775693363749763560,2260250276236405980,576580540758496470,1712056755414799206,398293710158900820,47459987889826608,474579431176391640,4712987153625212,188511364203697920,942516213702571200,3116970235618371344,696136514012770626,1961468592126482664,230976309529303552,5863910805598434528,234842046370418982,4630682358017281728,3740111971805925144,4295043801215930988,581306952291742278,2583475167688339680,1382509531107279648,2243969363966394858,1549157879907048264,2162209322706526656,461514742669336048,731614357961583228,2531650236320436420,1007729158756444872,622919396055517056,4005760463990003808,2523806940417621516,3527439785363970624,470647474491787740,1535958605744682380,3545043719042234772,2765117363465598876,48854274211098400,366391278255829500,3036338886120975666,1200494671200057360,450595771479380940,1931041581550272900,688506811105200360,5306714001016378092,2310577304690517696,4210738741876661496,3599268797990944440,681437869457857776,3136778301269847852,1683474404439168660,1747800930750964608,4273923563135663864,4173689360004853416,906585922353104172,3588007252738328700,4242287107995213312,3116219742019486800,708608771577769366,31376178709475754,268927097601463920,3137347747728779200,3289108129785360180,4569340891347565344,3212783705741081232,3808567541157470208,383225639912471664,3832091449791934560,3020569471314491616,2364228920589145560,9622177987361808,769741108219941120,703055907024402624,184889814882623568,1104847815314626704,3628730258207114166,804566585869119520,1536242076122803392,2488804659542402112,2875219879621967944,564188297674249560,684523129561309368,556675551708836968,850523031395258364,2903464412007616620,411040126672489360,289180131018778032,1807298050161222300,3768973104847792128,782034063424394460,5985161194657067376,2867024067574117402,1002599764013299320,99606326006631168,210393514277748758,532658442245870376,4290996497882331888,1893158377282594356,78968435419707876,1579300763656447440,551564680812479928,803067530652292464,265146550726767030,590766315223593564,1195675135031261088,1688783067061225344,887006823987699750,3605995739611512108,1027314543028196376,2128155828039536640,992090771632134810,999700475951204856,384232804712636608,526666989708547452,1484628666740586048,1715225969224115256,3527550178957793604,1980244095982111296,1448999210240762184,363284095363757244,3632684721325597440,112567808392568220,2386638993236740242,812242927494546588,1767593557868851220,1586860037904797568,44248084492494630,1327385453882852100,502033853792709720,2194165247336931456,3124611790195941656,6766154866037562174,2751189140051073864,663567213707591880,361175219489195124,2373129907450090560,326413373164276992,1631996697325631040,477325245106659510,182400024898278208,2051912061465769440,4270340211873159168,426068917879803618,4260506014214890020,5387401121292465624,1993617716507016784,1683590277920956704,2726090606000948868,624266270093412140,6803984955481549704,2530118891878301010,2504595622217574088,3102125339894249088,3592656059364738660,1722122449813536832,1549109283334406280,6646198153863948264,2329842538358205808,1165995245279646936,2634616496983188732,3779847426184296192,162706299295654560,1952391681876185280,120648761383196616,846340087983527016,946074839216151960,144575647049280692,1239166579465927440,1496780090335435104,1452339623161293240,1666089170059469922,360904623851413290,5052447626110792040,1024839036673304256,284266493560074672,4468630783010421986,120588508156033872,846009945417012072,2211262667434450770,249901387379441748,1943593950589977840,428362177778440472,1110411023769567630,2853524850537241980,1600579492485296512,2163976019620596288,1531912976559389034,137068314075448152,4705326607875221472,2831022961288595472,264377460343417300,4315783327358410512,2101660334777678688,4481462311375222272,428471905909519122,3360771555209169390,3026359261412216680,1154733137662581264,2687047938844587702,5752927396935024606,135425243712690144,2860863203562130620,742693020117377406,907715820487863534,1544280944911756524,2280291371817386240,3906709637510746260,512683865111623896,1307697139491599952,3079478181020856480,4806591048882545202,4289438124697756324,5247516301351322976,2143146948144339984,4300509113716014924,266485849611927924,1652561949570283872,189559148591969260,1137306057817529340,5986690716902758128,801044490991494208,98299027049052240,201631319937591906,453660226764490368,1890477585553293000,257962225363412520,3611316112818269240,943814515510710072,96530734083561912,643510601189421760,93221078144838312,1209246728388820272,4383072765392971296,276276838628521956,839813481430833108,1766898053271550980,1204323492989475864,5000961772655674848,90923706795336358,1027610167783343184,1511232949214462664,2472039063011508368,1226243454204120552,921195178972309650,1124611216414661184,1879080618900530016,43279437939638472,1154068815599057280,2648315431639654656,2640472541750447208,4553000704129313744,1306246685671758960,1900131605125108236,747047600446795104,4298702771913408684,679264491401529066,4407475690477749376,48100934855802972,480988709664232380,258438022544833736,1536273565572455244,1321896270648376512,4556242021720769910,1913077170525399120,5650813609701152256,177314068441773168,1773064613697319440,2133700526068143720,3932206282698042624,2839115309579928576,249211711231306824,2492010205319099920,1323881622156763872,1029413346230966760,1877581097683926592,16501367608471308,1155046185413166480,637319247580137584,392926957013173122,1590877240519119894,626449675789765248,265495328477172288,2654839413615510720,1223744768765209244,5973982289896840524,1211443106266569312,1136805485801462320,2567221471469653224,369842736433731744,2327895486037326528,2863118177959775670,272942470507408218,2746710171319830716,29002942290279240,1160067944202181200,1126851250146827988,910677001443545040,1054651639417979328,2101377135713051154,665619484921685514,852517760267984688,738082740599702080,5181275563396343316,306482875115193018,2186937015534655992,847868703691249476,2943538645194134892,939406129358350464,52387278193824048,785775484956615840,3718379935149150026,4491960456840754128,571094695133005824,1388090049062530912,2499840557449727184,3665798939635185216,5529523903742271840,686496624476535648,4478787870196429944,520247414903340672,1424046693686345088,1567796188361470536,2734673398979455728,612879248665266792,4782336160857597972,4260467561823875248,641249197264333098,1518182172842086944,1026305877757696224,309917456438279232,4595550569538901524,5938854359975478774,2263998650045945328,1988241275561038848,1219826718645569232,178220167639510230,681342243361949664,2148296694824799096,1309850317816066128,494588389096768176,93812600951193736,2345214534288277200,158361702086948616,1319624308428950200,2766763032621182496,3712159564755699420,3435585254540858608,3268810757836110960,600925884470248860,3141986011209984512,3015811483236699750,1776965971549907034,4357409215703446008,1437770490821540352,973294651486466064,307540628652565482,1241259214368404220,455978692542801384,2229272239588358382,3519444077895535056,2062335021214031040,4460191532017081776,1182863287297470384,2508844843671893208,414787125771238808,1185055316521294080,1957895153057001192,942743070880789024,192046819140915144,548681698583850480,1656676123496894776,2078473798678889520,2421526458568205412,2169881844628636272,3068104974336347832,3648341540600037984,4076153858999660160,2336673928850052192,817356479875027356,1031166255885303750,4081288031022901248,3562730888456616192,4586777548890892720,2413063911030136944,2753898560590193376,677447784319310984,5107047265402967448,243590688290196222,650850578198802552,926885707787933784,5336509662769862178,5137384297224650768,1946803352369042592,4894421197766474304,4132370754737793876,2047927910271524532,3110263036727454960,65775288449318912,1315449459258370560,467101091490809580,1270278198221310784,74182634513371296,1854486484384683600,1215405535460185552,650054809685317596,1194311463766777536,3300579509317675210,799430647037758056,1092800711774864160,3951830225580626052,4639557630279620430,4542917783796772776,795189260875202192,404181971945336640,941994873570967752,120987901092978616,907370429109330960,2799992729094157872,133296025676048630,1599483865025533320,1024650757530667332,2849695298419721904,202804929277731792,5407900055640641280,3940539091445835648,829049845100590224,1570516714419340464,1175878918748621112,4122006000354170532,4246390925452526400,645429444732178812,2410561590439216272,4830867255366171096,4946742675444353784,98221587988850442,831827329380971352,2655557703754016640,4661884066618698192,2799648250197300432,192360619985130612,854899520552171520,589120679389833528,3311406599596936834,693325321101675072,834304886816321052,1377718568783529552,3784400481366644370,5436895813690688226,1872691256948149224,416069905425148992,520065139956077640,4466437554044410592,167228106989105052,749802784956945408,3808237901918688624,475054040608785792,2070311718116350320,1911013265198771580,3276277966320023376,684175766739222690,5135963091284608352,3012535168298500608,4033282584008163384,3748684540416171944,4292940819784936608,1564609692252755616,818591785871648976,1361956244010594300,4341477856707386208,1943604715059254744,1371846570905893842,2829984797838197160,941780569369880832,404215434111347124,709387970477588280,227606373557668576,5111713435451689416,2426798111565025968,3379744828006884324,2656258367126842368,3209727267201849408,1443300628522926280,1048923493492790616,1217231138713630728,2900631928640846096,2385581309729169216,2657030010136707768,1386932277733011684,760587349019153040,653664753352778292,1785900487317289420,2410931610876698880,1501297451844691008,2323598441630814656,920874133657684608,5303339830700679012,5008572655485940288,332433283030222752,412392349297531638,1178213509915885960,2918017133449833096,2078468035868907936,4591830972595805832,2819994287324376504,613531672117886592,2255449483833214932,380672091523652724,2517226929653189544,2543330747265484880,4102325825508031392,2797005703558491480,93727348432388692,2811700336629270240,168384136644212472,3367538876185549680,1690461337749547248,2279618018844584832,1491228166715943560,1335807622669480764,507216100506839724,886979026878821056,2311298986439654640,1135793824308774126,4203459011568159816,319847782431212460,639668244506469120,680152172715725496,724719990437810892,919739653243790328,1504659748222491048,3499558197843753252,1305060476508116334,1484839004357085300,1940196926604320064,149731256739280392,2905333998971518552,2925764398563731424,1338506669710763712,131429130298717468,2173806858093390792,39031178886857436,1951475620495434400,345526065150869610,4442288311133412300,311951521949888688,148151490391183488,1851814568508208800,4971120274332732992,49736240404347072,994682343420295680,2104019869925259768,1699981418104257024,1989965691112395600,768881549103612120,2555622581618608590,2447420401284993240,819858685949461752,422171445726805728,3336674807775343410,1253511214235994424,106546312318695264,1476788676106148820,1286740303924055956,1640840810524896312,1274202019088219412,3180131927656629440,627586228668854850,485256144314102106,1633624993497591808,218333477260097316,1212912001042688700,466105820787904408,395516330376055236,533331325217830800,2672858916401382522,5948249435711100846,904693933201828704,675605171026439060,599751740252565252,2443924356922799064,723499602591428356,1860363504790844976,206936700797454876,459839715910491120,760491486784460256,4086871771071850632,1314502920840204424,2092929196714127640,339813659582568540,1928579699344902912,826391626506842112,3040929107492442870,2793219211304997408,493339369884667488,4316535357309023940,88003950954200304,1320002959397352480,697729400301338856,516506208327905994,3443227858884840120,2856087929850448128,3959762525544152768,337207774579412676,2377671043281856128,5994149481851773716,4087651588638112512,2489245227946457820,733954530607794392,5359919993864869824,4030743432428109012,2272779242064845916,5713021000767678048,225495064850203044,1436294861248915136,532562302663741404,2862671528414733552,505165825001076576,3094755151905538632,2319766296223059240,3798625869787980474,2659259796846506700,2179243890995059008,702615769999592988,2644950398208893496,1136192854078887120,1524992189736606580,2984284036541433768,3296019733800706404,118095856943354068,826157293650071856,291626129802427770,612844619758707622,6786586714628461248,2524169719592375184,844138578279298220,1376448613836034284,3046886599648626096,4961471678803240048,718795393981857384,2357164398313516464,2215856635859332088,669387311024006232,1510580691005010768,1767011538197332040,929034212777044704,164545050272807232,2879415671064363480,277071934375401630,1406931349593474576,605634107454210016,392048176607892072,1703749561222288752,1190883224743638144,1169700242985854976,2875011025262240916,1706448375430845552,1810399101360271440,552988347999531744,1291834546993584624,567190993558280112,43422446569905828,3039441767642365680,3556853675337085410,3364870412486280768,1446491400631579456,533023136679395496,2921139553862363856,2419515456740515884,1596648180569099040,462681329862266496,83041413986732844,553585846026097680,1405618027492925304,173691483284088608,510308579383149690,1525485709648978308,1217437990110212260,543959552599274592,2968064009497959570,1145012985198123612,3255127225883962704,4969196181353267784,1425693875272487838,259534003029392640,4671413119288765440,5348153768900571072,5223329032584338082,3535279708708203696,5304616208008781400,4794136135967614644,3657854248783337040,846320154257780932,3220504909100667360,787061086428470880,436156358823372896,4797084937975325550,5152146233373232128,1877676315729153456,201071049838149888,239769137975828538,101057143387689644,1225251401084703120,1386556591354051302,29180778124946424,583590719226994560,1865357949983535252,4877111466126807192,556231912484861358,3708054911062172880,232353836033703296,5227738792715046960,3618279103933677264,2788229576379828800,168984337103755272,638648435364902064,199526745074280228,665060845219048080,530669440454811648,1433843818666472648,2099557740752921328,1978544810646240624,1905017481953018048,173575558210853916,1030791572256791340,4256296781585590208,6587683755227293392,3936243727574002134,3851822175191761190,1201407087236715264,4422770887016924568,2940993741416158692,2829952339459852536,691056956532742272,894132642724855056,687103789138269174,2284517589009097248,2942741395626241504,1433351527442540532,383984945794535568,3522244618747050804,646763912538691500,1277863120874210112,344867301621003360,4827936850424170560,80202401686628928,200497475717047320,476861990727338268,553588794613103868,951959971124268504,1056599072400688128,1640261067298699032,562443701256370820,4685782615007559912,623485826716176384,871937239751299568,1445550913352332854,708494678581349952,352896535211323640,6351867513210740580,1110044355720901812,2583018346403227648,1396236687794130048,872934212496987408,655319570980266588,1336452301454528592,3188341420802036400,538996183763469624,2024355470634644490,232042338564101640,274717870259690196,2136603705706133580,6862998722499715518,2270113424663990052,6286406194999304424,699943996020985452,2017257818405332290,219145463890238160,1330693775670570624,1648161435662936496,918245419152816996,40715792402763744,407140617507563520,1357077706849569600,5674691748151062960,1368242893583386512,3019248549049607424,4783529767718426382,2927436565067313552,908849345534540712,5847699955025830080,892083989784336644,5179707003829946640,748381251086695296,4842550065411857792,333173790181179612,4997394483187482180,1078424159694667940,5688348071414508288,886021419058066368,4142226031136060136,215301600757088760,861169810938346320,3462766082039816510,747221060178160128,4811922080598460464,74916161175062360,749129783436786300,5153125367906203842,4529429647187470704,921326793772673376,104430245991258564,348086032249346040,2166096325415487120,3659627683382801760,3284830197270686640,1900686554987347776,1448411428943375232,1148057550841573088,5264860829405320638,4144554855772880208,4275508147483863136,134573547248342208,1196158503338000640,4401703337090480484,2412475529227157760,1792208715602995536,1931497976168501314,4275013498991999082,1635110992619989056,588132153393898432,3939976417601534364,2381393630711199060,1171359786101764896,1289385792949337064,4427652472708727250,705256753726033216,2890473523505673696,1003450162112042304,2028792975634465218,4392710190215385696,944324121692391264,623227300857906176,36195608718960372,2895525763311320640,4607191844741086336,2598605576184548736,526955215587403650,1409755943046250672,202095409853876616,2497569933480781680,3017410201547746116,3044040654020962860,1529111860742553408,1600605312554808912,23028919644690612,575698554623031300,390897065962502624,533551318446341700,2760036508592322966,201277364937928736,2012688225779084160,1879072555003165056,135936738300783596,4077929081503006920,4288295223682329024,1527042765986065060,120977246209315644,134413458386975640,3504081320447170104,4157324230338683328,5727940499220779232,2559333015945562608,563777698550755248,2227529511929844276,1283111590290833628,5992027058836514322,2895385513967550360,944217527753300544,1299503704043362752,209784106377158232,2602790379332997192,1838796008168777436,365111795228318796,2086264609108168480,5923359561571579512,2525517930267897120,4445271181230426756,2675899838379518772,178186669184301120,2036332698380721600,1870702212534427818,1971751355946333810,881297790847177560,4966563421500368688,785264580527290686,2718847306931120112,2894145799083742848,1162021667839494528,992361629049913116,3664863501210349272,1106933057156027280,2941278538810561872,2784893884576691328,1335672857907209448,5260265278841194880,4032614181243110592,975030091985605128,644195724044888392,1300181085876517152,1019508584998307328,2180240024457396192,5389771113284001624,6100677780542458488,6383937730711956408,797163538587336846,3051585673844505552,65188843534540020,434573866479007200,1311739065499750536,982087528116959088,2879137888103591424,1696020687615256128,1724429594537734910,2493243510607829016,727849816046452920,3030897700525793760,3770808424656579690,3589081368858803370,1418667116563272224,2056465389653902368,3555220033135195128,1856590299982749474,124340876964992568,1941537204066593376,1529997009339840240,141171084478820760,282330204086636160,549652507692169268,1532911005652487184,1601997674822528544,1944807062393900700,4517628260189632896,392019219584417568,263545751402254380,4480435063559016384,297201447483232116,5593804194779093456,1394070163630785072,227533569593421888,11460458550736736,85949797680230220,1145948752758496800,2963325617226451840,4375645200764079396,576827590295644812,3673314733013416764,1770723336171061800,3397381784565513840,5159848161829314884,556664170005629142,2133357161391231168,2767549127408333884,841344583582364550,1180199519233113456,859870312877364680,1028890337677868880,3807075425868679356,701418076616164810,645928049636886864,1617895280332973856,2345795604115264170,336071553814009602,333691233618008904,620034436964114432,440491576377984912,734121540200844720,2657867753951704680,117530072256154392,1371126118141417260,1337028599023522308,2697009165046726800,2763120216091138368,699347253628985738,1698599587925786238,944758820559806784,371539260034114656,3096029424874220400,567505347816307392,4637466928977232868,3451584816409754304,4134507877698841314,342186959198173584,5132587117862255040,3282377809662455904,968155905010366050,203113787275001892,4153183325033164224,5901654968161054704,3570089906184702264,3953435592390866316,2140547719730009376,544260412544683896,456160371183169146,54084567206966208,811234175662880640,1165352481845063424,700996835156454914,1464892701393811998,2907394788160031040,3680530794181725092,3623266311527886840,1340926882716249558,1384731324488382840,249377341660396272,1474372740377387574,1911506988312393640,324029731302889920,4165920284781216600,679792567398156828,431749125095375556,5834565140068974384,3530834824850364416,4464271587770999970,1346202494504188848,1035409267297790016,1724474165893505088,1608114397857016590,452563515047583852,3771203101013975400,5236087791802528584,4116130603850583132,531420814142297808,1992743765513572320,2416169965247749568,11345154412468320,136136095122983040,2041955064856684800,19270469410601472,240870680717228100,1445162966642014200,869189425037668944,1267266207216361464,1501025572870536140,2954292685225791288,1191306870420498744,6080190261210364104,720644154107670252,417232109189729934,801380825866490560,1883519263440825120,91618321683509514,647797192817413496,444391673073401088,2497605601304305968,1654377102092304156,943534595262113064,289888347492228456,212249745367868636,2457854731226362752,564279354921115920,1498410891864516432,730363230505155216,1037445316937021388,5313049823190047872,4275494966033359488,155200202415839808,155757772074804438,1780013587911086880,2152848478472618904,3539379906092845728,164529679981678410,414334740558706704,5020251499602649408,1235479767961550760,420936363047204028,2988659662567320080,2813105225376850032,1008658831704412896,1046142542465024568,710672902091740188,4861162456511597568,256774168924928456,1591826853079506978,33634558194085458,336331371196360760,2455060218540472704,1979037018921790944,3432737909595775008,3153944653673798160,1476885651070275456,2430153189003387208,362291271002835804,3105222570568925280,5264049362156962432,2785883097229411320,905916598413841278,68362149339408128,170898154459718880,814047814848581712,1589099269570441428,1171444666646229732,1274705702065431360,663708302966987306,5548361525120335428,1011653503211285088,2078046163121181804,927169236830901636,363523581274834368,2019490165891270400,1662385589494075440,513573657388128054,621806328245066384,399540680933423616,1972699939550601312,836799963835699976,3384244802596122960,469493622895908420,546504052855641408,317476776988731708,1332062132793273216,483023656763805648,636449369290628688,926303759038732878,479584999268699976,237009138381829140,1895993065106128320,1373561225562430344,236876016749049846,1691900126780133600,1507204378640217088,66080992624325070,566384600491039800,1538524745650958048,1679601655283031552,2646297935244508500,1305383507790134180,2058823859294179008,3828483827726293296,2214650539573380432,6168068778682886328,454170396334829460,156969006956891224,67020334696983072,2010525195664002240,2766244490000603136,154459635666041772,295269059272369896,843590286646339040,3697725545828196960,577413699579162240,3633574524739309062,564104540868264420,1134898624817647536,835163849584302056,2947251424476287250,2278663970988631950,363910688027511408,1039700959843086720,2774068632264704976,356023123384833564,2228622099706357248,3734926809514954284,645666644107458576,338477269333766004,564104987152485480,3094404056583016448,115134908043160050,2003953860452731530,1532089286679484560,604070251201934088,92823539997639660,1113835503081849360,1422444883051878048,3882779777929090752,1767461149148470956,4169247862426715844,1571432099476347648,3710565586461910016,959289944133463908,3101131942599722490,402430300783429808,1023866229553523136,618904411526374956,566264935147596696,2325158385399986976,752395093002444600,1512090867780239682,4867452998438546664,954810416327968008,183311926370195072,333477562154268636,1510346821239455112,893271983288064160,2296750954260504384,2487401195067576216,1327483986763572744,4279169190430006128,2699193402227359968,216362056705450260,664533749871722916,973991459379320496,995051311260299904,717942875227718274,144927667375226802,5599005705955994464,2037499738373432256,2391497365047167856,6673592578949672382,4031209355105154816,3624715610131815720,3040631118944368812,1145583613124977248,1452196874221825356,2422825153667457728,3719490133852865856,1086477698525951676,378864464137843376,541212144898788720,678431288197007352,594821940381052368,1939946341089995424,2497892397650204688,2292721558735411136,2451905033374756290,2056757588324831040,3329606565537082380,4933772715660473412,310423410644292594,548866466436736680,1745678563112965440,2982793562926004952,960371341869807608,2176412515936017072,230660580659499072,3238887819931555984,1533150519352417350,218551936333031928,4370854639961173440,1650136177296579258,2363146950817501974,761990950442264768,275722172534750160,1378552808549278200,1116402709936398542,493186870226980080,476570930190986016,554834345593144568,1278087423958121172,3252400186523519616,977175755902274940,531116586714091704,1647591108851031288,759345740897601720,403163554021746840,575923687033068900,1574614362775825638,116727757368173184,291807108676944240,1422673400673415748,3076912025228121456,864845796281602080,333468726673939744,1378002849121543536,4094476054322502384,322673111583544240,3871914363848818080,2369166862864426560,1778061706086556212,2384102934573421536,3690646110690370920,1966927668626755566,3469932557205682392,3868189988547011904,2660348496683671452,4286496295752218604,419935819872514782,2782951944212175480,779096419915999680,448773833278299396,1282157000411502320,3914561252989132416,1844277389635852620,1033628786559432888,915758868394919472,439573016956817196,1465181744533375920,2419151386510223784,894364856707249170,3705041862735304560,5518460050559204256,1602927715936791078,575512135393100576,2550936558546628752,3642987520281846528,630130383955184460,987733380821233752,919603631761649568,358067337133613688,397835863170805080,1232238749015214450,450843766289623528,76331128470413160,610623346144951920,102143516881877964,2042784425861372160,2938991493957361584,467737600547307330,200593430484446736,3082304443587586128,5285989181910765824,3195901948011966120,423757827304515072,3046176653197497360,4810328177982235392,273797027873721504,1825236774936037760,528047818179543504,805552193556260496,3580667408694523644,7031179306423056,52731627876025920,703058814604124800,266318654095326612,426286878681580422,1069733572041410760,129710479031469216,4412387073173085072,593916352483519404,733139303780327112,1244827913377370904,1043462209306275376,2235061274631341652,2231069921310547512,2187132063744715128,4080107892753702054,3059705419920742230,945868588688673792,774601239024248328,577529459982712170,2869409972616196226,747336089810508840,11363165468371920,681761279515255800,1956258056912954670,375322024623871440,1546870365314105984,1141085711845054800,4770170748652797642,443707021271551664,1093317864147377784,3991429717584577992,5554805768549289536,1205126678778919920,528547692773953476,2452510514456006184,3928922860751440752,3992141113927240176,3564345184044427200,3851008370461418994,2225496809630657640,704890522363996752,4920113918597854104,1791568101602827674,2936197419470361378,855163415175014376,4323068505371562408,664658267352384396,2180991056120063676,1715932321707957408,2041762065934437424,1918322591572594944,1765560691409802048,6240635044447345740,1187332457508848880,712825844028595470,4089738328851491868,1084558924220723784,922217153174391192,442925350230426312,6592608132178950882,630499193623169532,1772381218657039760,4556904236423903232,2939152194317047068,3926296225205468352,3220429077304415100,3441099674553657564,3632688289738365728,317171001256786656,197450391167667072,1480815773387563140,3800241366220632672,2605269040115973264,1993204495465010676,5573851160542567392,1384610033724524610,3774149849986276684,753769525492569888,3182744975807744064,786498602872180650,2351920350820627584,1427416113273283980,3869797468125977584,2284702490752855866,1165876068132997728,4798292535524910128,1506636780451630074,1692272976908169168,2760425264431327696,228760198819113300,235504456943005416,2943682201997094100,3437086599330932460,566509803267726648,1611131383300961984,2826498837786184350,339327803028923712,422501692708066704,1881495476709880644,1322475895759116576,2014745330700746592,3488692132841739264,1145537830162086690,908824598826239568,148816049422628880,297619615334313360,32792967323849080,65583183915360240,5902239002374238400,619490048507924544,2052891786134992512,2714716380417729936,3820388225334313536,2669482149589323900,575345419509743784,5569641616819216624,2548420796397888324,1816057615977111024,1055106838217864268,3012227430161750346,4153025171513627640,739264876772460548,1430833185135930348,3340565844472368162,321128597647089008,1708025071607035104,214665993165039162,5968084001986405728,697377232990680192,1791101620464559272,37036692730203544,1111054206345748560,1842703976271481560,6471905582915253504,2068562429471997528,2889332035774897152,3850158019961106392,620195865735729864,1217862614302657884,5505949965486379482,1682103069445482216,2318075136442172448,157003914788565950,350073542848403232,937655322342807936,3589716658775215128,321215789840387112,4282697731026728640,1325139938892271904,1568459111696383104,781917427753996068,3066760716960477456,257100587921170320,544532126831866764,1035566995362560744,1831222050530936370,1397990661579551472,967575890450883432,1048283200187611344,796812040368579348,841184398164293040,1163649033211554744,1900613742816785166,410260779429078772,1598231765085535920,1463445733017643200,5641825459900391856,2325861115854474204,348030337008890160,1555426564105472256,3339904503220924806,27171204999902370,724535122071652800,330668962227297168,863722951516145880,2222141225805440604,1241659666709696160,1838884970645362836,2845108124536133134,3273456882590976870,676703933048363352,425276751850955584,2261908714532027022,1627299712663667496,3445301232589302968,3856841850349448064,3051909868964693472,923315105830075920,2071319457101764620,2660771895764033520,5149098678845221030,2791593833864135784,642644529422136288,1271904048151253880,649528003923961068,1156177742476230288,1343143023137513704,475656386859708672,1189091195638784520,175670443855028304,2049402734178770880,4965156565889059764,3505597839009023472,2739909580834164120,586380129893898516,3807262350750304768,2909086959700472436,1376046971992441920,4274727534179995136,1520226513714790044,632305166324548248,4405492352769352796,2283515961297002208,662464978600091040,1825175254397014890,5553706062726741216,291155216037328056,2083882375776942924,591707067092104812,23373444301606176,58431166241611040,292143609436881600,2114923929153568254,400711943029527226,2506896847168855680,714967269328870368,2480248978983507424,1019763901563062208,3590751438136954620,3738919495873236864,171362169917703486,236546663219796888,299910621836771376,180884553571659264,2034866124799899840,45733354749748534,3658515379294733760,143054602640208336,6229806141897052326,2219404116503671056,559467797091486624,2135468217765002140,4059633335636576250,3793892544872458668,836174589482954928,3922806713106714240,3325502328707431488,322472510911194196,1363413599419322880,3590125539652259748,2103135646079760984,1476799993326923784,20625277690155360,103122077526779200,773383251617343000,2187320996648578284,694462080413029536,305036855042629644,597403199609125416,257992752525969538,1467997168704499056,2158606929385194048,1114298773061728188,408660755420349678,3591173357891026200,908287382589418020,544674425092368732,40682758242473946,2440863491802993840,2669021042265418680,883643756583802830,525027673347843114,625788630419441664,940441267354877784,650900884438519232,963374823359008290,1809766242155610432,915557365050057504,840573772895784762,1772193860077928562,66846673198517664,1002658209885913680,2262534547149837036,431210366762274550,878620588950425076,2073132553778665632,199787465172505264,1748067301347409140,286901576500629072,5928796168236317916,693813509363493684,1231906999412112264,1198383161017523976,5354016323120496576,393262898681146788,5056026111611139960,2772506488762926288,1816615796415320304,1091008442305119016,1499862413586067230,432788827765962816,3245780672139360960,255212344670511042,2059007256199344132,4378737896512458048,4029588612435638232,419923341978869148,2999327215424049800,874955898861513216,1430202530964781632,1893256967066680476,2533776706172026512,1628258708790105480,2203781994925629344,3280665893908593564,632297268958476132,1306921966250904336,1412813527839772704,3530992331327182128,734599336160641210,4343044852652713632,616536404318484036,559025503828730776,2940026182985980110,1460684165887141752,3413258845710860960,1442313755099729862,3535624461971937312,16682222687808384,750668695303988160,394351411842362952,751243227220028082,2680764410307393252,222338326456534176,3334935745215847080,57656605538433180,2306168000198937600,2707492159907605072,757870007760632430,407895105453423984,453197876623722560,968739420461152512,475788213691225566,2084126181546276384,4799716706742552288,563523537905318628,2858853441824863056,2455468554246335100,835537857665226840,2515801677109348200,1867055247666470664,2758246261528394496,2542740219631331520,2030334690449601432,310081314225430404,404838860469221480,224962567582178052,15218157490569216,1065226602386634380,473037939448257924,3679030558230037920,570079389982023340,1622554370106835704,1536026710596719640,1342797297046650720,1048325385215047680,2511452120094930672,2422872953789645808,2199051440758779840,2183698965411368856,1341287403868299684,787068140536213488,2246648994268820964,293764922671955792,7739256526706124,55278099487326600,442206362904582400,3343106975853686004,44493966208555710,889842234494557400,90990818778539856,909870265114572480,437995325383442508,6534842483136347406,656439066229383792,4163800151782900464,1007201153865692358,2111833428023951820,2775527439269735900,2491788363486307776,3877823210983918800,891129721070230928,270670854301530480,1623957459829099920,2228082370519529328,584597592280380834,2846817968598899472,2580652197782536120,54978540719858796,2473931264980590540,2195067925577714176,2126895950851697448,3670091583133826664,1755704159020274904,925439517103321692,456118237641449376,378536414727570876,3244462697457987120,551501026977300816,4466270737226622112,2709427472761461516,588389232978249120,3106498918817527212,40190541692045184,3616998116998864320,3190120014994176510,3065714679426302880,1881905607550947216,1960169136939918328,4030697304239482944,3851779631035254768,1674034182093325056,3159872606422740054,1064396847352757256,3600289461190914624,104891012526394368,632699426120440548,1167102199854989420,1093919723955362016,1269834938434981296,1959008858011931536,4528193157750888396,3185567549790444480,2562216954010618960,6575252558223937932,2146052756359071846,1126609160849123752,507541566677681232,682298884994734224,1635345727101528274,279682015874044848,5996631307009773276,223154881620189642,11820066354023214,118195744639129080,2249852997431146040,972679775442010416,1744167933571858830,5047249878855343584,2910667097135236536,1380592898223215544,1478786333083489108,649015013582436072,4454293779663202944,4587328765105184736,3535104392529302340,1941960185489270304,1861058833340485504,2368821156647761836,874759444710227868,1432420546436921560,1157499292775813232,1334629385460409164,90361844393752546,344443114001460096,1037944697230606464,2004292131046768310,1760386511847584550,3574056357384034896,747985604997003968,2698636907678593584,3139991640251061372,494099073710720880,1542428756112069144,1132326353053106622,595701333771426150,1841434930642850736,1740895350819111168,714161497715189868,1689567392682125946,1031094788896047072,314900479962263264,1968046171540838100,2538183436465821930,3766996355584275624,3026093261713659648,669358040160723990,821525701429189078,3543436673266894272,91030621528905696,455134187563352880,1007524251593200584,872482771404389088,720160399155741488,627276519975579702,3862501131692738556,5755997572978419360,2209740291832932192,3706543195866278622,1400193645749522250,1998678775230876816,3322157282994630960,288782910637756136,6497345477895097140,4533733471852729704,1906749605970968472,3089405128472506512,76846538144832444,3073733805600162240,576137135205625320,1381359669756603768,1348503526084765944,230833239240069312,5193532106890543080,661466236805464846,414843237995115798,1382753348183168280,1613413014358677952,462486161297504808,3838303834334764002,1848931743280411560,325821387797157912,2377798889952308928,4305984260519990664,3256019138256675264,422318176352053320,4604969201738214160,5198761684053031536,3977103592912868352,510042099416003296,3187630739697104100,4863528618552344088,2090404428990158204,345539915824205280,6219460217246969880,1736921737610285510,4456020336028587648,931573735185159864,565987085886181648,5140543042369448112,1778962120584475752,389780162695189888,1227087022500857430,534370622160255804,2424730643484185520,1903397622791271552,385067504868104124,825235875102865960,2421528253067499072,1339940505628606464,187560025467828936,1406641803579555660,949414252294815408,1249719058298224480,1567229238123667470,879725215006631568,40543989939659316,135141024475444080,4982764790378114352,3202966941624039392,2529114194563289760,5593590864688872768,872419243042799588,4320768583231419780,646037356789845252,4436107641658633248,3065397500283790032,22256060793729444,1001481183274090320,2691742080170799516,1840110665726932830,1764753536568231984,57583774814777568,2303255440057582080,2646896387819140744,520099621745376336,2600390237307181440,677229955815060848,1546159454215798422,50170540985566788,250842300322010840,2923899882934850208,2025052299638850024,4175403621852005424,2455252780895536752,3814065532325663748,2838394592846004304,4461208627871934708,1656213333872068656,1282428222210536808,3821236950879661500,1096736926662925704,3519762073383498048,273426425033278500,2759432337434283570,3415173413645813968,2527936032581946000,1502790262712773344,3226440697099602620,3172241729012809320,526296110069562624,344540342494249816,536539609782821664,2004546132133544088,5187502651832229504,5339127686110159872,260191650225630012,1721624341306087638,5845626472354128432,1358234143084268208,993747553877978568,1821233104423118892,255494240900744208,3303416935501960704,1253208505158678978,3802721404335473550,3104326234829700072,1626585752488124232,3013564977568595142,1324783497874869036,279671243126928840,4474554480684299520,506917124965218242,4258052173362123504,557801722946183712,2461870208521178780,564792370503650784,562698990728451702,4877790516601412652,2344813042396932912,3998216426020777908,759936340517769756,708371627334625296,2725942571561315304,1300247525339893816,1620185699306059344,839028232455633000,3950347955470603960,3362677377239064708,2608832117250912030,946364143221551152,3755320040747658744,450799160260774908,1064903139397962508,69395359140710856,693924854959128960,2031294882509857630,3466342457797228560,5630161559055245760,3538638452171188324,3502874670712226040,3792875128782445968,386844635512806976,240058930535942760,2012793181227730566,238352671119389816,5362713083794970880,616484192086953792,631093076474867356,176058986449286178,2786819258300338224,584150933921646528,992677776506870904,4888901635661968992,1233413186806207616,1458120149154496896,1116193874075196444,94367025820708050,1092180853031359020,8776243616123544,87758804228294540,1219573778386265712,519779007646000704,122260037534706148,698599877001874320,1482287214479479980,258527161010904064,1938873480731320320,3980905037035882272,221564234012186524,765880629714250416,820878209887310640,4217923702525325184,1591768534828637424,698010146551581108,1907017005296567976,550231941998508462,1289147346504560466,1348008410186856000,437352895249355304,13068332466542874,130677919382520420,5240248627789473804,240254951502246048,1868572338177851880,3472856954708336118,1229772648055958208,708009950195225216,1285442364575732112,1265642615991619008,1602198796958194272,813005886974217624,4836422901361757742,2436483203502880944,1341131673481064928,293389940823534072,2933778103458458760,570808060066673730,1919615446057802724,3640344985748471424,551001608453314128,4665401433777331536,80999066758105056,2429871551225442720,2583214532213623740,4803725011386230930,1045110665306164788,588651032919078864,96691955901487592,486425246030734956,1305572621713331520,880431730615234424,60513233626512816,1210214654712300480,525367345361752768,2281327736285347920,1773768505761139392,327850372487089046,468338321169802320,2400873441031283736,4826926755205563888,1199492246617127352,632961151662978864,2321502767470065928,3387371021987661216,3708573505824577860,395430296959373792,2030970716341027560,1969661048347201584,1171068584891295976,353933958200559120,2831354700456775680,2856392171526648270,2607602338248162552,74749100750045712,747460132594291920,4705697968801379226,168525616414775202,1916686194869542784,1592130192406357128,849245567282457072,677604550980072708,4474429654524008256,3177381394080693720,3441179272215597264,2707686622357488024,2127058694611895328,3928945512091444864,1151934649134298368,1404261024411660612,4671310602156040008,932704531909535196,4269981707123190282,1604497208963913660,639139863722594304,2451157318645153536,1398133671953402688,303127849789325052,284676867316622592,6310364934111081372,4095441372474984816,64290284383919058,3214381536861476600,1304120364850124544,132652045276212132,1547543320782719540,358312406288692416,2239360115570153400,1176809422075639072,244793240712277164,1359906326177482800,554251416284421912,4408016577444518598,2268214059305971776,1854636889268909568,3674612413686094056,3320779711713534630,2483696388992106816,4781554427586186540,784717047458449488,3607764656050179312,1623675515143492656,3249286962776937648,11498974717778000,229970007122820000,1724703903957150000,6392508056781617628,610433771304182184,3002435779542092388,3606241509438451456,720446045208853632,358598839898756808,2103226531439276832,2600062168351764930,1215900374941735008,465652474847970816,329899016709953604,2749045101179226300,1803095133887099232,1089920792306589408,3370977416540091924,703789516486446250,686627096914887756,1891051503341828280,1422198490445849680,336065354421723936,954829871842413312,3595845992424217408,1192300801075947948,1571069384443253736,3194607824645101788,479557225159463808,943588168021002312,985860254393683110,1061129103520318272,1309366678154725980,3657532702443059856,1245189773761246080,2303148714244682724,2042606994372205360,1449749298376146330,1020643204725416448,243628528564918208,3654277327238240880,1641438892913283720,3617095493854866168,2925468109900439460,2313243843020257920,65692586677156476,1094831331171016200,117541193623298016,881522630195049960,174826542159019872,2913655655598580800,202564394893161312,6076681491392645760,1635783255031284756,5099659851702698622,5018237226831742464,1542523823361625032,619042442805593556,2183711342117372298,1925065178664967872,1730412598598902064,1877847285482019684,1004585149213050768,1762978187007284360,1295155940949713808,4315702227250710672,2151148640902224006,694975569078042972,1423534620296563128,2570754710486543856,3437560686504134550,2003400830812943760,2050151361713067300,3022053471548857620,13712592732417936,68560140735969120,171393295001241600,551031928646762232,5378538650326746498,2006964457877603952,508308696989266404,63635375679874542,636327561199233420,2121004557898981200,2396120787270714016,1669949202305796804,228823089552067914,789030296942073024,4173041153380665468,842790502256146032,669312613910906508,448041503581101144,503564524183907424,120539945135205794,486679699607074866,1109506568581781568,4136220441430509408,139992783800220186,681318371108926374,346202698153956364,1175827204785766752,524755047118113696,4747200250248404784,1305666251744660064,1285235311013955576,4153300435186422300,914088203211938364,521075902920856416,3153524209326138144,390977569358597232,3110478162757465608,1410690621537556344,1179839785181356224,592770591153354834,914148635870219540,392123049325694808,2316785208022366200,875190464996782024,272027287487357616,3400201255240588800,3051053959455294444,1555293428188752996,795992116850932230,781460722944131840,254579171123158464,555089233365269934,4212725597529731568,1692765595526276712,265139880306481572,2990286316733065788,2711860686354280896,1927066943892020472,682910475471365024,3266034209170243776,1262236051785420846,3099921419666082000,2760899396268399984,1187632890855179472,298431161942053968,832165064574812388,5596506881848323648,959653507295250168,989106447173616216,3851932463394331104,4092434533714134048,1097892327877727958,369079721104556550,42047254414140536,420455265672134880,1336193695678278024,1592781435205010162,497382766805118336,2632238320601566740,983037664094100552,920386336649027814,601047707047899768,4557834903765212928,4755683311983210222,3082690904862668274,2790317088877902320,2816735277611286540,1232774725395402132,2581866371940281784,15642326445327720,187700207175984960,312820829219828400,1047584331191448288,938607517757229408,2363534419607210784,2497418100469240830,1403761457875999992,3996508841878244804,2777912869869043584,3979498537892350608,2705222484483015904,316248301380796776,1486731357957078360,108451378555969952,368276352543389874,814358644999357920,1508862093283824920,919089150909946632,199203560254671432,2519379156646368576,4558020335940360996,134612772958283292,1346072469667761240,1433655892304846460,21590117097368256,107946154364260920,2158834470865221600,94279312040074200,942754424054157000,3631419317304069984,2202767667090082404,1201357449299574448,1265532841377769968,1380910727773308876,4174414422607742274,2412151894439821632,4668833122184542848,446661425416042496,3208960260738095184,867487945403641320,44687775307828736,3574875341730184320,1585701809906551092,1655683657719608880,1799940357192094464,207972802403415276,5842232086485562812,324543833148449592,1081768398887579040,3219727497205900624,897633090612828900,592032227639121792,4888854457360612344,2985533926596694242,4828476930481920450,2775847221929332824,1345859417778921216,3533526843666049944,43381954709868146,867603512423667360,439072950266792424,487838827687187240,3536917230447292968,882927207307872720,1345327603961843392,1513194345352188432,328873892169925584,2055377550182792800,3225284130601688040,1866016812514806690,318268771250241900,973432264557682368,1353374926787792832,2017563010355548944,298733255651852406,2133721499843775600,1390801016870612040,1049243924673441324,1720599516621304662,2835373888410617268,879782158118285712,302314031979911424,83112507464286796,1662182025218795520,5261293795697501580,1194858452787020532,1226970629273231748,2955327066641315688,3909669012199454880,179821973954474052,1295764971027151422,846295965904537216,3308901241684252500,577942262858266146,2493508972668628640,1407817294667033712,5532334342803945144,436714242948632684,338339592975772272,660568995843468720,4859300605177376928,1094221317274032276,79190832011088330,313169128345706512,346681898860288320,2080006196078251980,2046426836532354264,243181300577042832,4019353795911645024,30128643997099098,903822304426266060,796091531355658080,661906480416139584,684346852470140028,141276156679964922,3497353606773019680,5180280045355704564,150702948609833412,2009290376997960160,187241566841099928,2808508513540157280,2145648369527131648,4342918620680764752,874860181289892912,96300438098775904,1500143475908563596,1445604764406381288,395604574357113440,1483456429919228400,667706429265727644,2354712089100807726,1911767048858756928,502801204781080608,349675656306757254,2331075637429643880,321720580650559980,366593615696759616,616987702613548260,1262835788071073832,2454637362036707968,872628653978000256,264356046612071172,3965178451074859260,393231975901688664,5384994575895997416,568441067641976216,6345929239795349658,1280097751483165824,1404128694135767248,4271299332505146942,3635191816005941892,956044455818322680,3549728399891283456,429802940472620130,294950395085483908,101117722848476544,2022271741296011520,571324170947475568,4293949777680156,42937741668474480,1502759498826863200,22072883468617524,441439616463364560,3133763608029665664,2148135386479412760,127218073098254580,1484150164452218900,6270243722833999464,4491689148454311936,1898309928806927394,1903209241078194804,5858695915193534688,421007792101132048,2386537866043824906,4505175217682876448,650848734065547532,105124370390391576,679549202926784676,2760094628316828460,3782714675527598496,424284954378435612,4802889099446713450,3216240690178337514,653863378599687456,2545756968224647296,6181084322590606830,3736883654274529488,2020505777779382240,970629235702450440,5278356415067162256,528644509771697424,2040227862956738928,3893961885354684864,5272629918105116754,512345942945966556,571888081590331584,31655546749951872,791356337405409600,1288130197005352608,1696709722526320392,1390921255079493696,2231053269660557064,659086281304817080,226306996957359456,262105026940154904,2999294798102239430,2509404865890514656,2649686090019519168,101873090878504992,2157349184529122178,959725422435869136,2143199794012875776,1095323555913730008,4029844494223986768,258557605395595112,5817308571760645080,566166626009816448,2123038158206459460,4790698482052438074,3162019782844718712,1535530268607394656,3858004095985808838,51558294904602576,1546685702486086080,2685118028436253872,1503731226121707912,72356346155196488,180883481510823840,777739558985636112,2711647634226030800,2749353032182762620,529470924391008228,1628426200729225280,2922615898641869724,1878409080200700090,1749497090346362544,768541595568899760,705904343492683896,2334016593194361090,2460485917572519744,4973872915185401160,1677949978807824714,3130788727907803230,1170465697952546688,176232171477638992,2746746562297967136,4764767320989929088,2524979533157693856,6095871892401871536,1944386691499438530,1710360067304846850,583462145284129776,160378006926258864,1296898049314972972,434250284007921228,349369358788043424,1149769603558670248,1793991302504119488,460665112541050056,3097973204207221648,685518955337592384,1478733666467266740,607504230918972560,1518079065938718084,879584769408775392,2415616315108900434,5016340436091448878,3058828750921871880,4023933696177882696,1309801762460788344,397062371023710546,2268835333216989280,19819266826182912,173411515083779280,1238603185199116000,1756739992840731840,4074654685601855376,3726558427143892338,1195911891584786220,1246214203978395168,2534786445338401536,3455385127024306410,3210214443953879052,2741591211728526472,749539390545139800,1648471921504536240,3863817385926589248,522234690736902816,4569367339493700240,307534426607639852,970431873568065216,3534065662068578448,826148165270150844,1678710520503930864,1364455944567642816,899850610345967448,251191836115513344,1163890789813538262,1019604196192689390,2834848365318064080,26205600448815552,458579327416357840,4585606482741664800,1625394320536885668,3513799664254661472,2923696790727044400,116015528369963370,3619564266706631424,835406959125186864,4632333089281289154,1494988711022220804,1475618750600159088,605218200877245120,98004669395972816,1362729924295858470,5427475955633339352,1113173265807865176,694218085417150920,2566266966017592768,1513743743651254464,1238826535193268600,3201971356855900278,171592512775372240,1072409547323004000,139279720889307672,1856987352051689440,1198763498138626692,5253163908611700384,180149606959369984,774729801779675736,3046415553543347550,1113765834927959392,2480017321265183664,1088960672594376408,3474704414783640346,109671600214087884,1096671373636552560,1071084689086789132,466074804466340304,2291991737682846720,687043959674048192,3041725289247083880,1289889422428924512,417893234392991896,2984830236074491200,1584338185778610240,1711937272526425880,1793070654847138656,1299195529226935296,1266124712871408408,2752475214030962280,3140047948072646376,1443136580272059480,486402909917263776,1215957817712909520,3005034513790235136,55215820925469864,3312814523961390480,1155532772714057452,1024774453210165056,1149556358953702272,690727846052981604,2525702140659062502,688066620336673704,526179859587423596,958874787616162446,372257168604203916,1541889080495778080,1546400134454141088,853205825377876872,46126828601106114,768749224487313600,125849227054561416,3868735099501076686,3518327368484816508,435964446570852336,376186761193041312,5015619616610687520,2497198794256310496,4186018710956390784,1676362600271636640,1060896109180126032,3291472101540174894,907572401741924100,1182060206612819088,2133571935036773664,1652042702251962846,1707128112727216368,142558032182126472,950348266648917840,519884792270922636,1571379320319385368,1509597932526964512,572697864051261156,747885063802221342,3397022551079405352,1243947048845570700,2980503235487819792,800949423086347320,2369013433682677632,1129466605132003072,3703174675519896,259211698989621840,370287387754675200,1605079166836919580,3362882178712484808,1486022286081961950,59020982330440788,758810386506123360,691776261857930470,2715167188095473064,1336676866560215928,2047722471261634032,161298678198940854,203741087761772448,628205165907373032,3227667374957513760,114534063588565422,3967366039172121762,543968943974471232,3638872925749026648,3647549516858591750,840133007351815518,4811320676074724868,3205794454432475136,825690139628421564,1214096649187947300,3055428787307742608,1256240852697355272,6224447702785402026,5207206645159291926,1374460094275431768,356894726911945488,1456661655467874834,631231651564054704,2040426041681389824,3258451550855769492,3018021269671287936,527156197966675368,349364930087670808,1695298942408311360,1150373123439679632,363939456720707712,3055925816880946128,834367694181007140,261259204441980632,501458962390126422,266568297468612588,739625322051160992,1325424429888879744,196532964162541956,2790919544333436640,1314162697948941672,2153371121217949158,282195282052770682,73465180220664936,571372675763541120,451406921968609112,1700552858975783592,251047115595647232,2510369367095271680,2923590150229397544,435424714284474072,539704187598959072,1292087031629763408,527878126499839656,1849609724505782382,2702509467969112320,2417310755076355380,2465228326629042336,2694455145319955040,3743620753048102944,461730708477350208,799370638610533416,2411523951871844550,1211519310363606272,1739154221147837568,392875104028864644,3640603556930889948,2673286391506758192,1912467153775148928,1129813223419645448,13820806842362652,552809873997300480,679376176766002044,1411230274945759242,4398271514005922856,3358638182081348040,3552266567728853568,3041863605676915110,1177316278022686824,2422731658519416096,875330147301158928,1299640882647307424,439738830694752216,458833038483716940,430755712759118768,235117502318331270,940431920258765880,977949544245669248,2706903667511196384,1792021412901751944,1069558105398690112,4541047873674743712,479131276110410496,5390008597773884520,1118766498942614976,1535654160241445160,351892771015881616,533444541606517842,2246222334125797632,2109862481126962500,1432848473328176784,2544126140214106326,59204339706112428,789359241988028160,3989671276761585576,516397009433469264,636004222101595752,373502828885229216,1392901698124946496,3902167175098571676,505970274885473712,3380344050717116208,44070584281444944,1542408030252061560,892394009240196438,2030969467496718756,191799898619105184,257647166732879734,1890047917667361912,2586939891737464320,1855501537409790732,2735045738647557570,3931679758671002646,21935311361104104,365573733193425600,60062637163260876,1501505188494247900,1391386449265334592,4099280733183421464,1240466613084092760,377998508064170934,1926749951414733060,1949172987701659656,567728406993874302,490688684385333888,6401882169561696,42677488545275040,853515254972126400,2562930159569049942,788660932977303300,351870652019791872,3222144197653751244,538942964225254050,415865970037147536,6237737351342327160,1877583958720451406,5889858576870597876,1439128396598059896,2080021835050734456,678854864210155344,2666809949683073364,161602950283771392,1076605387232368440,470196036399261942,522418924799465820,1289286480648340944,2533515432151115712,191473335131954076,1276437314818996560,242452757743757928,1616286401492311440,1187002405631314428,1003390636644000756,3266754740322090624,2177988616830826272,3815527994021750202,2204223583386604824,1833168340866693744,4090904744093009344,1930859858454600942,91752241325719188,1834970697045902560,1166119663994361792,3494437179091257510,768109457160460740,1368148221271323360,1864984078246236696,4336125409178189704,1792574139897681984,378541869130082592,575234221571978960,468293953163644152,485910962900638164,551869523296590080,3638499516590785236,545671441424030670,560972186047785666,74195470664293560,1335464549502621120,511430784376652328,1224823169821176624,795173698888209216,2504180489281531216,2667589266549737232,2258964871733117916,269258468807670060,3571452341924676624,1439128798707109488,923121378920828790,653311378155314208,3764516528229253056,2047337106539248272,225775277795480238,644080682767144752,1911889258942862592,55526799439215108,277622793691677540,4758689818010952264,4582786751142360156,1405604887494660006,4884477921186566208,4128893518291840512,2434693830316123032,3046552924012709190,1512891380721487716,152972557313661216,663179302285062080,2511277105913154216,6212505020611142772,4933117276457134688,4631499674980330752,606468096981553752,4998310883254362464,661102235977361568,2935422295945718004,3747255245207358176,3955890306752749344,515109591101125692,572320909588661520,964568947636552104,2719121536538416152,2573529341246920560,781222187650979844,4078905772814021904,212376924668547418,178480431963731304,1189821575166216960,1096459720504435296,1294710308255527956,256657145458982688,3512374291884850488,813719915653153212,4332610213284912594,3642975026633913168,2937444813074676672,11660474938789986,349800149253211980,3746496732811863552,3978019183082266368,356909218563627672,389360035591197996,3309982826811667776,2535639092441736512,61587573372560874,5542658258394238740,1736786116007979552,419892533802430848,21891157063832466,218902750894565940,194053718285952984,970229502625620240,1779904687300083008,798789499092759852,5138541131615659152,791702734844736432,2489263108342853832,5814420305270450436,1491932289246206688,2353687276623221760,525045024737984724,1113816101908281678,910939653564597600,559320248183717196,2823021920398689552,523549169009994204,2501074952627481972,798174381756252600,1330181380651780398,3546487764224038704,756033013131801472,1489731459785643168,532592835622439076,1336723128639299898,4646399391835738848,1717445935383310368,379985106940536460,63393251061855558,4437348951047646480,422412601643107224,60243221994365232,75300996571360380,452587662282171424,565711808944512240,430446208073763240,1151749531897531658,2274318526730745024,438120651241452564,1221611002979053104,5791646852865230148,1015595620898536296,600566439109518592,1527451324376524344,468457590870557010,1926459920873489088,639704083603240584,3314686215925561056,3316305660450409050,1843612847756382780,414854773454174640,682386423217915328,560723650851277782,241456816803423744,3621706575567623280,1090012663503174660,5215587130511557722,1373946593007411024,405401186991855648,5084545381228470144,283724451969572922,250087969234835784,2069982628279946820,3309838166377192150,1438263186331246584,353885724946385460,3872714575921460032,4675806559585504056,2103087037917858510,201685555142552064,2689032627977518080,1159570978198590672,940420386837228416,530193075619927368,1130165480619452544,621280047715266996,1153826692044598404,4260939782982259968,2299661083175678380,3855810798880276536,567578807685523980,3080342183183910988,1150504543281445440,431789735759360628,443543733241535652,309809178359245152,885133513846172880,768349322643536604,1429375835885804802,2381425654317039936,1974152847315799040,1422682972485320970,573550235241619728,1419579653895946752,1925014895119167240,2259083404858430700,2625894481355718030,973543037543980344,1542824223694416,123420980519154240,1388430264354166800,614514518734480512,147270676339908776,167498956371502872,1001279765513619438,249333782840320032,831079235378050560,6151874976980353710,5277197864263069818,1545317827896995760,2194471837041203328,3221368276097264904,648981764961715260,2711957987083454676,403358097766155160,562846317275391930,302175060763958928,245394025212461312,4907683498537755840,2911666554234349560,1899081770544258496,1262045778082469544,323498789126745360,1940914834305363660,898727516406883224,330441263159506416,2116189649468819584,563789977889650134,175307549070051288,1645001459310106116,2641874790508333632,963736808167804176,984965874298935102,3051807897082370112,231044119210122228,459351117595450676,1728591829233758736,320588410506253296,539823471037991040,772314540600761268,1577300282634686760,1904555491785136480,3606121346204393568,926560588906577088,2836639901124150024,1703599726418566488,662122344018094560,4416773829938144066,423954291129041772,120544715081798496,535732805542807840,646165605595688514,670898288533156506,157066597878916284,184544337517768128,459366291115438332,1306908491125370532,794044404620674752,2995975136676478680,3588693461555571776,2628088961932693728,4109120195875250688,1146178593642584864,376857216542177328,498707431005769308,3322126573196394624,6201104543328145860,655825578260905542,972685051144537026,4245323003006754744,2806632730566434880,508078043378880184,66534400556704476,2993928052062283920,5009017134692238624,128908091332243440,2062446822673493760,2003131819780770096,322175538865205712,1130712961824280440,737650747847791752,2756960206675918848,2206185622574292840,517696781594323496,2047161416583455448,1362581327196832860,3243149913582971760,1799132838231804894,987659274175867548,843232521929737752,979428819699262704,1117398725463165606,529277811623315260,570441601446445524,1012991800910344992,1522342852036459460,277107620604330816,18099448630810560,180987239583685600,2895679894119916800,321377439758601060,1786974097376484224,951207697736095104,1211654140463042496,636057762935862588,407369543963929272,5996313116943021036,3067879998316059794,1399918726341638928,1551553646115369672,2045560227481484192,2461993580496404142,5289406341812503152,3500576132085089568,1297634463877936140,1417974742529287488,1948883684407894740,882395599768755000,1057084396880750592,568923045435092482,478214560802106684,423281149056281376,385989757835653836,3002022456899889780,1277073792324489636,294328982815203776,2575275578748737760,2014082066419581510,1483593626009772126,1065878247164896512,4734553179475334304,1172368407320147316,1360194728225537790,2721310858622938176,1300102814508043680,377583722297875872,2025312277256272752,2051720252206258104,1452438185775909948,14023696538789010,196323901395964860,1682709015577759200,84071227823066304,2942375332345136240,480045342889507872,1200065379564894720,476235884242572672,1858337166261026484,3354000393821869320,2964871903062492456,108658678559357232,396199952089675794,4082096892008423760,270399631632986616,1899319050444315276,830991430382846138,2981266261963916724,824000250693467736,2732514283715550752,1239816459302388612,3390367091248175940,2849275452596653680,1602028890510454296,1199808357414443028,2746385455697555250,5302803108746557536,1675485919026161664,196537750553924192,2947948489862722080,168243693604698096,1059557580552019332,134009339791621008,650275480435451058,1179454036935753648,1517441223387159168,4138898240360954016,2420857322324477246,60577115795035200,908620450035633000,1919798274911003724,3530878680862671072,1381615179475644120,10328202873947904,154916857323041760,1032737813241667200,3038743129624837128,1856192893527319128,4033510939053314064,4665018426561626418,1074218089742814204,536960170982330400,3918633354852045324,1967225748370044732,4696503007246779168,394017121624423508,2966146321910606100,837575897991618366,3044478016451044248,1252931703645970080,1754798707404475128,1011436882397868864,1384777635414155496,2410543479835711440,5499415711719236064,1348082612990739252,540437455602179244,582357242441652968,312929436490464204,1122222351565965456,2374880594775690240,1495247113365104568,489354778555553274,62318507557709508,311580108726357240,349949922410023344,56451908256724090,4515972534279664800,136527559865841504,676721987557598548,1141409334097710732,1394855706984100116,1231475921528406576,3250096716160602720,2437417722031268976,2639816038172474964,359567982411529728,421209123409474488,82410631308871908,1086790287076857744,2010709398339071532,508569290098819264,805480857898866954,3102421843333685070,82661869970506344,944669428209938880,2463785352097324530,334013215621995174,3402841667387985504,502721080141133952,3981807537013770338,184905409540111308,1419732423907406784,605208497214048088,2197349256073927776,5429223363420516144,4175026184960783068,3235657096875381024,991921924958370456,728389923264311330,162848041446525696,506345084034183504,578218176848755254,2251341876551014752,319539782447544960,2556216429120829440,405851187864128508,1962782352096258744,1421916861637146688,470554257433217040,2933782604693479044,312037631251830408,741941901121753632,480195083021169216,339083208856374934,1283488818050963592,232291374688251144,522541905012883944,4960235527126424586,112989432501788832,423693501871398960,342967050259712208,2667415301837738760,375345130840564590,1591710903817003200,435436709701007736,1162851409317955380,529761068084581164,4116365568218584548,3083571290440055552,1260513854448812370,242227012840651008,844326200588389288,3635704817752478436,2706392309067151782,1730659018408687800,619475975305798608,34496218120654584,394226805479001120,1971055596494253600,1094045748270265872,4232245797905727008,3392178222487672926,161869598374931304,2832605277303194120,5528949511896190080,5867161909542186732,3073846324560526134,6029139469439708208,3653984765612905164,3742198306428197682,201536290972913280,1209169652307217920,4795255229225862720,3026710124289044424,1206503408304572490,2127344807502318528,689886735972530040,3245915919589138026,3123735930372942288,1211876496753021324,1219041445459557600,4251323334686637244,2928313907860639320,1107594992158906752,1574849808352823640,5103991768755439962,1659008365669800468,471688312053540216,4816928486554222464,535033254222799752,4401269236484413776,111411570129711264,954918361230812640,660640104451279788,726234682563470910,568866548823670944,889622656478890208,2341283984859756552,369051210420643284,263047797585315240,574064566844616468,1542870460053477432,2576015540023272470,1771720929613530180,466656880719084000,1443887123419354518,142698785334729822,634191629878487040,1719833065216615488,282396449698516386,2048960501038112688,3034130398178507112,1043663216110809024,3876650273015351538,459282016752233056,4018558048884492960,1823940232674525504,4955441936031634806,236311438893657516,1837904875237423440,3995587045119326776,1601855025686270124,233760632382418314,1698493510956769824,274731597570494808,923918355274902984,2044140829278988176,4007756481666013152,1517426617384383552,227448587463029404,1357732948351594158,2508234121517056704,72829475005189048,131181641053606494,1311764347106935020,2123748087626810688,2404833436188602208,2682026202944759220,5157178834488718914,764898302611498176,2979086087283860088,1048182415563831948,1513251984019134624,3254801912500286700,1755932620824071280,2330133391559187648,703235109404359584,761950036447362240,1877879096525086116,2521061835960035208,1019978153069736938,711632201224771584,1027410941102735640,8260291886801442,247798928243309580,2477891006071675200,69783799651249984,348905161169478240,1506946255765147344,2784413465438536800,429448845454308960,2453896097808790800,2657937736829525216,491060734205703912,871718253017863356,2807960856814065630,146553929004614412,589494656298756816,597726410000785616,2034129657220629408,2951742249014491548,1078574745928390144,2658737730688432272,1981998558300958488,854076649493613690,2389009047417252624,5433967681110286848,642084239566691382,270725489723081322,3286373489373287160,423111456874681884,1052207809522132032,631997896375592658,1026506566632701352,688930535498973696,57746939197313100,2309786055793916000,928923029678138112,1092293974451864016,3180640649217777956,4010695974890236404,2866841479661487552,1349713621684623360,642502041722374992,1923371200259698464,112926332071087328,1129218597214036320,733752395545145856,703131904835176374,1181722816976509008,893195474524180416,739251910331756168,965438271565813152,291049929805859136,2425320051622047400,144669059644703484,203780189143854270,2852809703209115160,3313740957445213200,4364131423802548914,143350277034173964,274379845748849472,3086651082962407320,158571118020321810,528549472789559100,3574141669845838008,1119317775476969200,414778389810132852,54200808410256108,180662211777138880,3537485068907234496,2958735117391626276,3353036035512485472,788160651287396544,5683271209370714016,704272107535302856,793138970202564096,2222280227556813600,199495952930919248,631001364913963188,1708925729963263536,180831290952439304,444523980128345136,1062220773565886004,131572053841497910,3169453518476369280,1217393046761675256,4658222988577858672,3114413424722269692,418794103751094108,97917448673830656,595039449540503148,248723241382314372,442447646459149864,1005271111332390672,3748429391849300304,910428794521321488,4108829766613797852,476621399663440608,5420981466904724512,2574388184319395256,1821579231219306336,1863399947077094352,760745640172032864,794497490387005860,3396815769237557880,1902960759217580928,495334900112760918,105740761455484232,2114731655862645120,5399974986553381212,4408928438364731616,62539014559714344,5002923479000152320,746624309949686256,2253419753052009384,1486272545449944096,991870805183059072,1543478545931508768,3972833756217908736,2057135606273688912,1215954410580453060,389468378215106064,490757093278206730,426849952168244034,61375384187876832,3682377611527462080,44921443157707848,561495864093620100,2654124647805232344,1359872070148272384,1354775677544586672,1946991165998181666,3288080433314451888,2007871117898574240,2342218315885209090,1805461769691054432,5174475638458661856,306378714256411904,3081310051011224184,88215800101856280,1323184768212568800,493466327081943732,2275107598721282688,615054399778067080,4399174019302855968,518915469519143568,1153099978243272880,2272260159407716128,3680133178571281152,993841145884815464,835969619693378952,449232221770197426,3493890526631179080,1158107181942693840,276437538464220438,179172121238408464,1343737894375006560,1600246107325019232,3007590671510603050,2884278422413402740,2974098915269473968,2927971598441148960,836534664529373568,627513197215267224,1464748330806492864,2109803533417781280,3590581420450389564,3833855489700145868,162248352675663168,811209773089474560,5268463297282450160,3292553243943805254,3761917824240036288,465430009011446028,192654101828454552,2271202152516923472,973350742099009216,1581779291589916896,5022294533979905610,146306110349162148,836853491094726144,2934832241905742304,272671550657080870,70950488311090332,202707691279584480,2675471828665839232,5024455216468407456,1523001732361566678,2005133733324683328,5007423026341805952,1040588179567927662,900815900774217512,4863615297504092064,4539329512826999184,3375785101506672006,713479092053403060,1560632533219643760,1882403972796930880,1113227170007012550,1902964953093030180,1370490217912738728,4466711701747858752,425097129078606852,89652561911327102,1961405214270463224,1149314227814443296,636642440773375168,1055659327591303602,3461213737842340788,1368057380199477464,4182489948684992616,547795408570128864,203988446727766016,1019902076032736640,351284879932839942,364193358040678650,3214165363322700888,2437069604383491264,1333949256393464504,3962574091631000538,2120083956936830448,2569992300336898912,1000122498657887784,254072797761324438,2026244367379756752,1916653613262925968,2412106258600488660,313707662149958664,637936323078361824,3082371762877828128,2317509904924962550,1703472390583265304,2299921567992513216,4698191044924411968,2378590330022077110,116021930837066622,257816370020719520,3056777892057213540,57900671931498264,723729929380190700,737693904153130944,1467073017749270448,2886790571028501018,352382853604683744,4110971605369413120,2717320761116273472,2320377838537964940,576118755997921908,1367606195192794688,256816495265546880,963023989127141700,3004461739254673632,266308045862910216,4418595565069515564,1302164347525781604,415801569701497446,158059720383522480,2528856111135470080,2262406142727341880,1848388576972637904,4467297695344070912,670448276011753536,1288141563545326224,2049179723103258944,384052494409633332,3190071849907672800,1982586658968649952,436270079900678532,904286428227812592,1227502657446103936,722896907878519632,453630639937378476,2853995073111943728,77806583108703072,1556070526856720160,4733470557598035104,1510520143857990912,2090156257501695852,558966657869004552,353971689167873856,1875270525416829756,54038576374974064,3782551779093355380,4677915457193199606,3567904490444508144,4815792862452165528,1848207405887776818,220030308476834346,171261027405215172,3425086055035697760,298129078289314872,2485963498173777288,114447709866397824,1716648249984134880,1563311081504544240,2531811661165137456,162883491202864168,1106446927868903424,556167698696621664,1235879707467370880,380623526952420384,2204383914989822304,309503677260956952,3094915305775538160,853464939426195384,1907576989002866016,91924262206961514,973568881005392232,3658169345859510048,69337390182746112,297148584335800320,1258992595890075752,1778523847821903648,3137629342715012352,4349912663910806320,226517106065374404,647166344080639680,4801570464543478128,4849678637582329584,5921014947507488412,3995357503190702368,1319125809360449246,6277097643335604388,613983338682000695,10022804018183411559,7589742333232129840,3952262961277684270,7219581147217345536,1528199307675420625,6905594504454197485,2865318779775528650,2228672788659041634,1456367860378822112,4068554975290612660,786832381408423051,2335818239428413540,6514519552248824376,6054322701367416855,767003243822725610,970044249536323608,9001584186409584420,12824740313308076576,6696799137243823727,5962000286725747875,599912156406861597,324867547876939165,1573842563704467099,1330761019834027782,4888541462348052045,4890240754418662692,502677776445226165,19250636144101859,55000949493471340,1375002037451337500,6452343106165019742,4945311452139469600,1832749576404180780,316459530288790798,4470242697549424935,6020277736109140904,6620654976566393360,2963818490145152542,9967916784755044374,2534991587406321060,626469115116473560,7047666400790157750,2267208284327894192,6452509220386688270,5927060583593293725,1077729569095573912,4041422168521797150,625800491679770976,1564476567193404240,3377957245224593460,1215427646382616222,2179875837176955575,5058521882498443840,438641067586565724,4386341555611797000,5533320823154946252,7884702127865036075,7323229395040476264,488372728088552223,7680204968443454200,2369305449286337624,2575666431332586810,10458452041084394217,7890619524213152920,1435869439036773070,484648096252226858,5996657336780495480,14423911678658494548,2892627324353906433,6371168731223049125,1027533539069692449,234243138961436040,3344662216104476995,13351295514167484856,4884516462832045185,8547124290278848001,4468394872749789135,3236288549882830136,3364354651735165623,7048035808504672800,270253272123873352,2026867653250039500,94986251694335274,316615858424882380,7464813278795330975,1544433251966619326,1544992593777677380,1032572742972321576,1292939113970215413,4309729276470904350,4908161430337895780,7256793686954988625,9038991650194385136,11349952276413303126,1801356886232049790,1927077150682100925,1404998136004261695,667327137769275142,8274164227972987435,1493304025655406295,10857021767761980902,3643969143764033240,1209544371227546148,3093827385448867864,2087932406738647200,1413770987089448127,1041220427668576125,251195025229146096,10047643192002138240,851934946614852065,313805736908291550,14121036403605933750,3190518789443805255,12274074543695357583,776359029598116510,5492949251108231502,6345973292586068200,7459362433841862276,2178924116962119909,1722184080991782270,5067464295984182407,4953834243389135790,3901850528485498296,3065988108940794896,561689150867608790,9090663021819659496,11978055284233618980,8023135520720038615,1996216561776458882,8105534025772678125,1163374822523881263,8010485660287549500,1947506235623946102,5512333967704674820,405956595348897910,2863556696213009496,1886632407945010880,5491995194974710552,1423797316426442608,432068109602788660,1465893513874803741,12343492041237009760,1153545792344295063,4015188521359037664,33558974802876840,167792244419038440,419474037561139500,4258451981825087090,797204209442167375,12755067505575710000,8107762930873550217,651547468088527275,12010312263834385656,6567900208378758808,9643996664977111675,1219983090047368158,6516302755258267650,2221207006934173184,4853863150728585903,1518251604552712340,1813063843958348496,10713036167709153390,821963102873097612,383802264210513239,2975209383351656880,6466250674446623416,7884939715760089255,9905688598119648832,1370638179262408866,677672105281053560,162844447362453059,930525139293094600,1966315429557378477,13876620468968007963,2668082988512049465,469968381252654544,1358143446740774590,1508945775083721324,3394453597607380343,9047001085142927400,127317443916900609,3819463590761475750,6318401227749526706,5387148926834861800,155199512820420390,2069294486962175120,1132171298374137805,8086811434492653350,5697951470197400155,4120084880416123320,370459544638842776,2910833909686814160,595708838312939156,1308208194766463679,12510306408833540505,3229351148553850476,2972274621086995560,3374235773725464792,1635097298957267432,3737068015879058550,7142328446347468512,6277368223402643900,5184947184158228058,873902603135871825,8700724920437822475,2958312296627764076,4295183529419274900,478830393112469376,4345298367611234394,5625623852260367300,8623969992064125314,4417173999797447245,3902304836380562241,6595523289509343915,13523832052801484445,6674077951321967784,4973181494331928545,4650120306257452803,3313945195888839057,1394910450999396520,5329825361697523464,8219316612635141805,6278115516466632120,5847462278883608530,50236406257999710,753534342120701610,837247323637931500,126632290093649225,1013042524740435800,4316078190889646375,2568563989376799195,10661547236463673875,483201385285257729,1610646177747256230,6499326247440896430,1633742441151192144,5967634846482807280,6262841370532394688,5078449775461828008,6703451272301938725,487562103420773094,2166908920945553200,1640595569978893388,3817255111514377840,3834189090659053360,4962593473592390860,2895709334851892020,2254513968698279064,1888878126591535131,6448346172260839575,3644568301410022227,1867673238799929860,10652833687574131744,11443214970304570831,2657770475265655750,6431677557348590916,4244403721082514900,1797314572797161652,4925817994455726735,1508626286736682075,483842111148449291,4147153561277468700,2140573631057555904,4969375007134884283,425230838492513410,4577056051311609970,812021917156688625,10126469093069123522,7836207181149616164,7107224013875931660,501566428530201957,21613670410295490,144088895403099560,1801083186378834500,265746371401907210,4946331682597653985,7759294677243384625,2021641429561929284,49790215893980797,4481049777572153250,3285627979648211028,1415880196599178575,814785410000052442,10331530336614577272,5662871583738475040,2441353503755461848,4398704966007250860,11874259938541610448,4556051004202818699,1058773604313463710,580968018712069722,968264991722527350,2687844521648740790,779979653363636336,3899837704247805200,5645016250075077540,3085706245605827480,8350415524710426048,3892471587386034246,3959331576821342840,6242534927139519500,598753227467751605,8865627341059885653,6053563332382004460,889212641833077975,7621704363296388780,3093516687156057825,615198594914931208,9860507672779928213,5984140556653757680,3244245624742051552,8649560732534844120,2156256513316658144,2334250468429913622,8897037972616135680,5592017100036850110,4725177264185174040,286560183729817466,1432778701264023830,6940010018382883260,4737573774642073785,3155925016206291940,2443865861250217092,2753727480385762415,4560359871922069635,398415330767203986,664015259821935850,4918857772849034721,1394879657835192281,3687075231351831900,8013825304975792617,11583227731147480800,3436086676276134816,11628109186116705872,1201876306870998260,1409407896189235436,951548356955177800,709545912096889857,5588722291004112792,319793412661036610,4594230286407649461,1263301873313850260,4475348635955934177,9518525924582936292,7799602641007875435,2006180683267714590,32829844158467640,218862240028515360,1094294262983032800,945319191387381930,6731776903836661230,11000789046504064080,5037793581149068257,4792353364486797336,992008713324416325,12715962871100656760,2700452152705149375,671187359739138005,381827203800889808,2386383113257496500,11526198319400836912,2160121421188790280,6439971018501595632,8317879185156164256,4824643401542837880,726283951901550762,1199020415409268480,5326904776493912916,13254294377692003064,12608550544521562120,6922199093061702087,4114045546930964840,1455281346011152070,7469362075137832674,3158225393995908340,9865209952129258544,2017482374966098095,313764868647848030,3765120256968704760,2557389162332125750,3385922763036444477,10349806106582907200,2558621135322013686,1135340889749205313,5444749634464506080,1156565631782486304,1226079836706233305,5433856814355968817,3125432831655889821,426673803807446840,3745194603324988136,7259256878824531875,1138184321127988032,1391009613918907314,6532296202850642350,4226948894976703017,2308055077215833910,9300336407422504704,3092945119934368446,746491719191060570,8531202316974082720,5395309026433889360,422592363320700080,3380686760190586240,254902222846184750,3823474373780275050,2182575749925903950,924210077526716804,2755008873848637105,859727683416856725,1368894898840683175,2146200385916722110,5944848750875052192,6953058817406682084,2134440318579058520,5478148307943244976,1326523951521436080,461023114651754518,3843673479362481234,9888880980155123135,3245692291402595864,13108880198857920840,3750828742861837896,7669734976690898787,1401587209574076875,675896579969096314,356338461273365480,3054282627058603680,586550433612152022,1955138003456774500,11637909462943375080,9872692330210862800,4843391020684213011,1050761306437078424,7702441193247213160,10461943816060453240,10004283423138185545,2939300423600067426,7388705807276697825,2931494518825794740,5384059787912744464,893490558458230080,4467384051855111360,3160866837578016784,3319506312848345260,6574136283767833032,8768004800612277510,9123225671621620174,11096675384676274344,2244966886178137160,3728320313515376586,8560329405857051095,4669405570904280024,5921672902919094069,991717768368389125,4250153662770431850,859004384702966300,817700171167524645,5310909475048098095,3846890563750389720,12790879193668336569,2714806800041299470,4395066058743976590,4030410221098994916,320434425854202800,4486013034527766560,11350197754757809240,6172753949926854234,4519306721405908035,95663576741224665,637747382390854420,10679037038090512455,2302094623942670568,3643541861142856647,2518554297677019425,384032546508197288,2880199875268100100,13269090924296522442,1439748299615656212,1094006484467889200,6738259138457541814,6558286485155884375,2953118201643117106,7314628193776898410,5307189074467893840,6513969637824244036,2640239084043504790,9372440254622168598,4594790375068247627,14183372237774336955,4772546305382965938,2607437601873320580,8393767526614926918,4133999636704925532,719390094642700320,735431446963743637,5634469012210216080,1572748678301243584,1213933679654672676,8659079593201516920,5096734131487332312,1461580254798661400,164626968266229519,13169955589489750320,7508838435926709375,114503029356469986,3435038237694388500,1476794208280410174,5881503338459360368,6328785778632700920,1533640870194146832,1019722485813906020,786361927494544079,7863498817760134990,11351784345095087010,1957951411537506438,8878728543906711750,3004294897164892084,320141568066625805,1280546663627185300,12753443256710492889,7880247148861902330,2679842965560362790,10284886790398919052,4370746737813914190,5100217210128848304,1118382233021803715,2427094994269633688,503679650618869393,207280677155634700,4145550107705964880,788446546872303100,1238117578864962996,4301145593769147627,9403963536233771190,479805174134192202,11800544456806563280,13131153737286657228,10389704634179031936,2714559526001217710,2535857893492120314,8093740832728492445,6377975534624722336,3972797237752737524,11379072030056960775,9131710581932569491,7083468003016836025,7895822964986914218,2336254314423380575,10801498590740181280,1490092885250290272,1870389661941769780,4061415343499716284,1497941839725257472,6684268418613678600,201378283912485820,3524066131928728750,206150165239114148,3092205245513778420,683932654916036140,97919425810365234,979179304106612100,9445389523154909268,3180591873452109044,2616761614775534820,2917150475698939258,3899941339632386490,4124783637664139589,2783551639903951932,2635893413042829940,13996080744207565851,605861234469704535,2153790320039843574,2417069572127279712,5659248184643280080,7777620923757936624,339468043881790075,221396578994261364,3689886692333095400,738203865256011700,3702852048849915540,3821683985662044500,2004196682527651352,177758763791277522,1777560530782379100,8500270387019345289,1143665883107018675,7377571773030254420,2947655199011195424,13114465055880157080,3872158894321428648,10292611032083015960,2490643225521138246,7496616152397383307,147618898119691875,1771399783201990500,10338832148402998520,10431860403256752824,1420443139849250853,3701400895175096360,7633577748325507960,11185102807118439525,7283042958034399797,10171831895629794922,1253113620245074700,913000491857184809,3325840815271437500,129568867740071160,1295668949182467600,1619561528157022500,2518296344646983826,5846438791050305910,2892537306011011050,3559296581840434566,247788245706373455,818390984973567347,7730356391984559950,525848222319930551,280268194638225157,4573146184034603340,10337085168165806484,8955730397061258720,3303548135308368784,7921116781576703105,3635814703189020980,3173567830495873860,7782567639538457580,1356692897311391443,1468588748464186810,3834097346306999625,3499812130040105607,157540532289278775,1575381372514649490,822578788839801471,1082913340198249495,5251646628885561672,3663936939087484600,5048217199553974512,7057660640494964101,774779001740957640,1291278715111209320,10408050473299312360,1398457198356896373,2857521174715750888,1526416766913116520,671325421671287406,1118858708147836950,6182687004649054770,3019344692369718452,4569310571328066350,2536881205359064395,1307303201245879800,11438729331980835150,2828668356612755622,875364376879232050,1845140332860190580,9071585874311408700,5401791951166854932,949271036572636728,2144391295939649535,4116682167108986384,1367137470686886920,253134617775587295,3543830879452162530,790944614286252705,5272884101759293260,3480155522843533975,6621155700002898992,6518302765875427084,10981388833045966120,2771914692294416916,2607405057597636460,5722821106727390772,3128691469819384326,4329092388418723170,11953164863192122672,79908922740933020,1398384949833301570,2718366721870540232,328895307426947600,4933354841077529040,12727746518021074400,8905919151333217689,3213221110939201310,2292837565042885210,10625084876377507004,1037885816220534580,5622207891491996394,5410635852261617425,7880090350125306060,1403091083049081615,1361819130418053220,2147187790370670432,527224432198575036,2935852163315867355,4496480700998621265,142620156487037970,5704719893044350480,3008003870746499136,41245706415340115,1237352463228270030,6478938654104635920,13225447539419333904,1436806809593473992,4440555119255645600,4632345419121665608,11463937132358849950,7312781943984858505,10947464548292630896,854829325502017320,5759729119834088844,10513686812760313000,10799709934813688161,4120226793152022088,1255209591162232615,680955913697401335,2723782468778063700,727202386971541784,644461507753007236,14088786913881948465,6683885514264856797,2397826008182361330,1365580853439659896,3615291596904491448,2814017047723858840,2857295450771883576,6147707283497888720,2115934023948132912,1919501954454064302,7142400613389476625,5160420710614887830,2288758171470523500,1003028207549260996,228012525839862685,4104163478831763150,7483425922868132484,877300365562895885,2945601056375929350,14368823263019246112,5290402422443869925,2571080164679708288,2917481716324632410,5348353379772509048,483126358193892048,3623392996866707400,1937927192117136596,7662099162852587400,837458715034382322,6125037257819031916,469483468655570875,11061109861424932512,1733634371451899280,6485250233057184616,4447470150311045058,9461854786278273000,6062568294774309311,1524471195241764500,2996070506591035248,103149246713901948,257869228433473350,8305565340113068563,8543948109060080925,3642954410780258385,1658498529789558639,5049955807380562455,5151307222367697048,5888191238487948420,7375757058021244810,13557479203466735508,653379715548470060,8167123382274123650,7170779054091926425,8777880356055071856,7274781787879301178,3676863041322391440,11566192053835349406,3789706659506741295,4177777660303990652,1024208541749383408,464847244747232025,13945207353097899690,3581043928486482450,5012622467495142485,749273099277364672,7492618197065065600,8717481680645357880,5794210207650246480,11049393930819394280,5135561539695160398,740824615874357945,787875636169700338,3775435147688949720,3997959163279441412,64807205637142724,1944186919938805800,1515704795289087971,787744973265744255,3883546429590571076,7171960635426859675,6629879854915184340,1120738724423729502,10227785245055186160,10810593077903045307,2142006666055349665,3898065405916799600,8829359754031314450,4434138259380842550,4629316129548432756,2696353391595171955,3859649585662044015,2937902906504664972,3040303082048548250,1863785839416122406,7258852919140342845,2563493567349590540,4944703794526018236,4683890608301565570,3566384588937525078,1843155800610490818,5670147354280146140,8465466655742778234,7941251302409052425,11350891290702492032,2863347554410996056,8912769651270958725,2305953472891584598,3209154823011754240,2316462876978411122,6603646550568326,264141897247358000,2971551743902826100,8238146358030038625,3179721655407806202,9111676081934822229,1800966288456667980,1041292708111234131,489243377463222780,6523147171619394720,2845557349032358362,996798796383471770,134719172440208706,449057173079601100,10646636188765841082,253185136434818923,878090592576957885,512284211559729005,1293965270162019560,12939458709319414160,1291468204656988451,6696482640195530175,656688187829082184,8208479316179090500,3069984275347791542,4213745181251710389,1374919057404620800,1564149806469135288,1520870451176742750,6169418458010222443,2185774722464480940,1008603435512488770,497776230613772586,3318458498515116600,237104556137653160,2074633795362047150,2620981829795933430,4596886012513612857,2220620648812677575,9078950340346846464,5718993969427247496,3217328495545825140,6446361732707130416,11564923877391742080,4926817113691500128,3729133498380675465,7616125745639958330,592380005439466395,2573121157001284360,14071029535943420481,758315565293854451,8744558926587815250,5807496730096290460,11664640377148724550,6955219586028905615,2064519487850252946,541397198731735360,7379663907847674009,5635087063843018320,9121973513294406849,10239321191857909781,12658601497407705630,5909598948436214612,896801139837318625,1269365533554260241,5641540269708005960,5302537374805371480,1150252826500122690,793869987207965595,3986807242532691318,490458021582407004,2101931544603886200,1587938259112076912,4656127628354658330,338878068892278848,1694365035583403840,4656860743797999750,6315077012222014050,3671014518473452800,6970634833112127762,105143969769473406,3679983995494192050,300769823322799371,5422349739381951820,2036052661036005612,357349196165502952,893359655928080300,6062642301786513165,898787859932683630,11555671465137199140,5104760942650212972,2397262679129980690,423226485044269439,1857125951601621160,9238658501497720725,1417609914643928736,480962060775437420,6777482627283855723,2770917704389394490,977896881410572005,6082353662769091780,341056840234087925,751255602997252808,4292825156440376000,5758286855105847118,1619906271815593216,9347300634641853835,706455512115320930,7064449829212829500,917286415175984112,5494342994310346590,900221286393711575,2235963526392247155,5086758484090657140,1106464885390736025,1123238198942036398,662348014322725855,55402325726948814,1662045016334589900,1173059138476112454,303914713485912329,11103773849244680840,3353330762258867630,511188800017060400,2044724756877753920,317280693477337874,1521752466389114925,358454199043061883,282572463313197200,4698996247847700636,1145719054935850638,2327570684773695855,2805874066120882131,7690187078704695775,2161907956854328168,7237297740720154352,7134117845473678275,5294926593280442312,251359451159767840,628389281363529040,7456181616951908995,56392204257420265,2255654626845635320,687283565656539695,1893309381115685442,9487321558658486091,1276430205857750960,8583488836700883546,1101865864299506010,3347519693852744802,2511450696935991828,4017251227208194700,844592140807631592,8445795904150050000,5241350606082291792,3871822638340166920,4617494224557178020,539201965858410803,3971467546317395685,6673689619300913688,9772913441890926672,3324612525384532025,194525049366704872,972610803547641800,4688496894306018594,3110554574645306684,7057007734787500740,1691968977968275032,929906119310747530,1349557030540667208,1183790864941993568,11785769474891340645,7729766985334662595,5495540527181729745,3469727997336258051,101704966565296038,1186540338418111250,226380340207505535,1358261891243070750,4912230188786434232,732612353179335213,727380764973918230,5401308240679094464,918580729241068920,3061890358803814320,2315893574964589155,11993814372856895820,390506256008275488,6508341112596584000,1470249284069507893,9040606014994256532,890910997678327060,5200694758096593633,2491106679923710485,113725515375043430,3411714905564250900,5167624119387912455,3925707757499139190,10034621516791448640,8987057704709371287,812769001900812036,8127569630981349000,784773367070072985,2502268997653331900,3869942018617183252,7146761537522420125,2201863233664761420,5575073998864160010,2511982078167799260,3050714431254344439,550397246119117768,3309060236232772695,9093051715844490496,10310207475874996270,1537832211369034532,3770510112201968527,3079671655514914985,8815262552747892192,3379162386966229170,9599286451978162758,4710751384628876868,1152185762457557060,8622353180263955769,5439255387178034555,4703266971952353224,1525343019235141491,4774227274919439675,718026107961178682,586111771517137800,1282029116923361459,7685203990712813238,6347101204491365325,2310243197588427478,24645264070635070,616122495785022650,6161133905517246500,6270997244417424840,8718252800210754626,916592740545598795,4622889812844281375,2009101524484109490,1249556702446618080,10933459642407112440,1571377221401426970,6321428839660722730,4423975294550652932,8199383719243907260,530687775917348757,1088184665032880805,3627228662309731470,1109516511466256606,5432836070851690725,3277848554455850193,9347292493246301400,1495382015293241442,163891277349977788,819444293720245700,3206205549426467656,12818462538662941680,6362859209258122032,2872870581007280296,1182480464080934720,4846326612837161255,8725292834505734850,4082588999048161926,2137732274169926060,5881376299240399020,9386042883815433150,3261347755579256340,9379178844221437476,7239008796766574949,13080295286233740630,10831397582375470688,719438382428495520,2116487817232085206,11009135980697116872,582471675343514950,7944067675440579429,4721108902824335000,5756928487129678422,6792544866945480825,1221344939245369830,6990252321596457366,9425115416537336960,1004709980770804932,6916905462177555112,1642007637296529900,810806119682350064,4559201326667302020,373864191752928951,1333739587819254324,3455323979280878310,1635846975958934582,4607556167967505005,1608407308102589673,2944423502485040639,8212871607104471940,3564438199714401100,6092248367957503275,363847740429973252,344901640454755878,621967551129085000,6997032011721944430,3562835700811054800,1746474044902231065,199616724640586168,1747610555991570225,605959765096560852,3359419505393645295,1318641548532673404,5511846752144781490,5722815644551208450,1566639957598414862,6785220102208564120,2243609375709523995,1692929519680920598,697963968837433575,1360325720155889114,216227381056167610,515940912409436469,441005021021609214,1117479922301424010,5837686581513475269,13928490060835690665,5942258819573532669,17788760138170726,1245194920539615500,796296604750513542,11944273660425960750,410983109089707728,5137213429964972600,398210145968585470,1380138750403370468,316741859914610320,6085734473308520196,1603535752373911884,1434000415853183360,5277895256163649212,2780149291684909965,7265578540372129705,504484285005366844,107460609746919305,9671312981918222190,7842770691585597810,485576951413698835,4693057853894417484,4162292293298247225,867057219058601835,6743679469192261750,1405805064725890595,4467135950474404410,4945505033675413375,4345991684079541002,10764944973202585550,5122497567128751369,3021143593442607268,7768948568830485840,1484126825947435915,295361854582532355,1969050174581247060,6545564908636445436,10892634899347132995,3766570815168103215,5712459837722958540,1294554148712579055,12861168049428064587,10157818979821123170,8492679973999266012,993313991369245220,561870002928703266,1872872583876949620,11769115602141534735,1561450975506556059,809301611646762105,10591021422965583502,2276841295119246947,4822971973817902275,6361126230973291165,10871324185222744425,4520795752072333864,4298546475486310722,5264269099134607170,1829518247747180702,1847344844328291350,4051697681053249380,1565056678536253224,5782228957419274590,8481621020473263330,8808611717878877970,7820699727635829575,2519619847772775873,1582085095757100675,793142807642452099,4532178351429362600,8779954116650907324,2954591737677986904,4851563918175397920,9603023896029349261,2252939398391752840,2796597794362146908,2483996746811531316,7661571384814875450,1747391437786726350,11412003385026885375,1170053711459057243,1144617156788880978,1053853272873824780,4952073195062825635,78130912985869160,1562595438532012960,5563939491910189962,11248314002058736755,2968572314107744977,30880533099331160,2161605758265269680,11551801132017011592,11590457217261269670,8223106478693167854,3875545096949387890,3628416721309432482,7809681929024156209,2586922775989439360,9993793055146075833,2252540609207721020,5599624651635133336,6790979913335353376,2429823426935135625,9504578401293729663,2793726072109423600,409604460335885956,4043641900923699490,1512748764037361480,3015398397161581587,63281119827492260,2531207889169815520,8384413183720116762,3303770146400459880,168009684913580780,3780162812584010250,4566472395032050990,7326947360752819800,6592090435446385975,2400862051990408270,2504588188959511525,237674322425614521,3168944798831793880,4047799810809470760,3120309124066696824,1083392320921703940,974726253799759794,1624520097638590090,7284181903494135125,7116701945101936430,5442883779939664500,4109150736395701176,2901845931425887278,3437689550946306760,758379450400462750,3035557602080525160,130387082919842847,9126962975642214990,3076251263300465810,5357449403438285727,2048239752987793810,384163036589762464,555993368075485038,5052422638386129240,6936040747970641905,5110901543535333490,6573616470803668104,5132594174982664012,3807909898114195100,6271294868160448248,1192819157191612740,9326541956203201923,4058910020468134752,729902049616868625,1459782879329146410,8746657920250596600,8627412056977420512,6196763835349494360,2689465743490233795,1505665479006906750,8628976995771101130,12383358693867119295,3102918728191328110,7673279725451834970,7756541688011826654,1431691860837588595,2357940465472555644,1470875867563291315,7797234950397000210,12001446432317416152,1112453576620223925,3496659151681679514,7211657534112448456,1608375641202989850,10315579597179703546,4800913706976933780,2450002243151485482,6049169841686547704,4968133122240517250,84676096770729922,5080492087481451000,1548383314286599770,8448887006170710021,2356908321232248350,1167402948349478596,8936902041801714435,10197049632119139704,7524643861501859958,7343266124635203735,3201054976704002160,1477080004149238005,6550442582878395448,3202972196640433522,2480920119516733130,4567836045147667395,1855812175605046750,9642705898433362155,1730175160491672568,2217368515888875375,4607238591651781456,84225446671124745,1122989684626028520,3498219969071975637,1027255491054842550,636795212824342323,2830159951138665000,3571658591513236112,1250000407185304369,144471430693556395,7223466932213920850,3952092915599755620,309974272567783824,2214069891840549600,1145878145957809430,4836496569425898546,12167645108231750985,391189961885967202,1889506483113133854,8251942660701982830,625388666048275166,3992995859131752285,1460187394532425936,184322801933325659,1011700288177000275,2677736223524532989,3805581341571548280,3084575150733285222,1967266257802175313,2180308601225351500,2642679752949266455,1452790090829468300,2454058496196595596,673355033052020454,3623161815190102770,2233429605974156382,5294108143254004320,663935921269608912,9958894886584360080,4888984210020251560,4433469491553814314,3308707299718974760,625292667321257295,6252836334722167950,3473529605175132360,1157390133063339588,6926787016490621160,1370338022045224095,2574286136452447456,1389365326315473835,5400459053620863022,3461836802487482640,521165581434744687,1158129016040029260,5220667352459285550,2501772994191806225,665324451927332200,7484792052806103330,928308936847378360,1160369425271134750,864292699344508693,2469372080841352700,2600871360144995619,1879043002665819700,4253138715757158240,7404645230147806872,5909723169065622480,4138387987714763680,387812922011108025,775614658640003250,7181692200745197168,3437555428143414935,11418919509579751736,13996815430341887829,4768202567517360270,11106211847539596464,3827636455585240300,7677168784114838372,5648657142604677170,13138188848130383550,2962991937183662552,532281504913784325,1182830746285556620,1991351286309918314,479875745614629680,9597376660926132160,1562381703763979055,579508999515248894,10065256344149344632,9955178364505450545,8577491648930009624,1556910432268378490,4909731451297494504,6396435885752022424,11508890632268790320,5089832486056028944,1250296145081661355,3086534182106963979,1360913394334921992,7548836438149043460,4431086390049867756,1243319722261873620,4799535381284010865,2807942182853002650,1855518103710490300,9744581351237704605,6955391502255333200,924683202775747026,3082233014459953620,3967713373378956030,4523409601985256936,10328772479769332610,49243600536545928,246214462918068840,3077636543173717500,6195280379212417605,1839161934671980490,8018923874474547000,766710646154159376,278133763946331535,2285411825403929054,12763885113894060320,1207725091993062671,4252006303561589181,6952288022003571390,588309189447071045,7059608872172886900,296856838047648133,6650611417002284295,581976997265240850,2110773404563540269,1377014395620393625,3980828032069778532,570323314543052672,3258943585201331200,4782860316116107284,5993506103550386225,2597488378922908665,2523576423151770363,4663155198089294660,1526975128509419752,1894156373170629645,4271298396216246356,6798306179256637472,2153371771398869175,4314592503975428421,8945486199100747590,11820467668880990097,241586692928345136,905937107136491700,4145582237583391521,5008547010693067170,2414428792987036384,6735227137103282682,11187706622947372000,6175970781577829232,5071694106262097000,2852721761367325274,9294531528250440176,925636429958756190,3085410555509975180,3440894365618520725,2650172793979608528,75012372468282356,2625395427623026100,3803541227597839312,8876020950546645420,446161552082953368,2230775813638380840,4651768132062920085,669338955497500666,956184817316689100,10998885257355653160,649636275910076762,4752900080203733895,5535376013645577365,9975482539165809760,3025212320025970569,1302598358769364020,3871813407653353900,1493481717008615055,800681447856330300,729078335661203978,2226688442032391568,1310749093583936670,4379880121203695416,2254581634069004860,1450634545182695774,9871227868687600884,5028885601347977600,1179681651971356010,2889617859512929740,3381672768585177430,431471270574989312,4684235477010967215,588274323906868782,10436171714137021720,7937675696573454265,2288545041798538562,1622134022929831180,7453387059089915665,1410724437003077240,633562797688566645,7602644965995623340,8501826852193690925,6201988503792787701,2412919408086796350,869383348746314090,511071616960366245,4088514554891629800,3218044680081929136,749583527251528210,5699951546727954816,2635460022969162410,430065457225349350,1720237275769064120,838720682848580850,8288180630794326132,9247395646684615275,3656910420602150080,6492891423553432170,13788271498161653595,4159945570104831227,1034162910212953127,4721023918291324320,2022693802932467946,296681420703647520,7911391728669488640,654617312338586166,3636710991029827500,2187787915654425084,6737040644676776100,2824874840686553028,1236395522165924705,4561673031552663075,2831188440384238575,5031161293450857100,3380307603693896919,8715403242023984304,5756130280646901280,6519372964442809080,3176515956877567990,2321492281640100242,1258560688738551224,9439070719647986700,3031746394350705639,1750989574087999440,1282656724701210999,8263343489554224078,2749897140377232360,1994722391158836528,106881873786447180,4809615853626512820,3500061233190118296,9936944077308325200,9826426995827899856,835001988476589375,864883705087487875,94381202751752169,6606590192415363150,10090211299687311880,6993252721408996710,1250253978217953618,2242408583190052945,10928784115696788720,2089588321893303417,424493327761885590,4872842031415689290,12559203744715750600,982829666969374315,123633159440057204,1412930307385451200,524407016711697236,3932996721894449670,239090981181692320,1494297395559897800,1353609244679684545,3652330782770824336,11659998431007430002,4533768118363221375,1594777009499540012,5737856112136622400,5697030624587837964,1425602635097099417,9422125343576524080,2674807968124234072,444244727038368960,4442384190061572480,5191264965122407416,3351455488273902975,4555468693259073492,473326831073214115,10248405413483082356,10947888896967309504,2786677374295336545,8930261656592162120,5423183074922227760,1446360944281151136,13970428870297658382,3251181213450357180,3180586974751374316,8354103802694844635,1975547453263175372,322641372412116603,1792426648265671250,316262138657534014,13754965986620727075,575064508772580001,1695923243699565634,2160260347742956025,1451888152452520357,5782506196348477960,2766393427599245064,6831832534328352528,7381995564723142020,3706637228021624610,4385539928343197200,2403978236067858420,7755672955964630529,10205603158784335680,3958091740286168457,122255319055019670,7335215248328016120,3152849051323165492,2693380437965908340,2377530042304508616,2084778328926707370,828239054528419312,873661314717307818,2271667140667752500,778013229061100371,4981396085560552200,9160180229913735267,3008813790455544352,493766161629117390,184321576675847805,1843189686493785750,419268048102100678,5553649302767170188,1088534400202165875,9759856173361630128,7304558202596910570,634451234676006534,12998247825246997833,5501401995389256920,4119314573644942296,996421654334231580,273807036749558390,1095212663718882760,576228719604980915,7762660334115533379,3213175762435280775,1323819926600767288,1036390016917206672,753242399305561400,5649238170708340020,4999238961656174500,9598018341157339977,7794414020693053296,1980918220968906700,106459842519163042,2661458472777153250,1271953405133237451,8765334551416947192,1574591505986606125,7348203728715783941,4900871154750105220,2818782291507804216,4296827873789571174,7561373729029735080,2345471201173676018,2681781546023561295,8081959783874925234,408151818015607302,3264435582119684840,14673263093086071312,8048638271212148025,1403588753439839631,8775178423923121578,3174514575375241750,5897550313585797815,2938654588409057000,2857982434268137316,1635674574990405036,128237414336801000,1442650570939289250,11220457362777162500,8025660177117324306,2219584850740180574,3076920583497844330,2080855481051013699,406949159944085790,5634378705866989106,9120270001060702656,1530888815508546645,1650506338658239608,1723737367581983660,5224948326829283040,4599057767690257998,374290216304546880,415872161018564480,2683661674371372270,2355764923854266925,1324404719795263866,1315829451330747500,991068937464743268,4228488888681575125,2675476445331114765,2681632037228626438,1412021049334804440,1597843935502254444,1031210903607078255,3648068368721490168,2212812978880687869,13764248609630055885,607797317671725233,9462060056547073640,1216796911210728039,6340834775194021024,11194937360743829920,2821586467747586208,6235896927473597625,5253059335243551815,1433348694674796928,5124293841918265760,9064599446880449706,848255477960780210,6848116700645036936,1625712536389721325,3148380720624272550,2118364381190980986,4017385764766486500,13583577391856904204,1232311252928900343,4225260077522057700,588059784884523950,7854037359265569330,160202126194179608,1601998762146262480,1485150655901479660,4505049805796440840,3417155255202443300,1161595258125268635,2438990897003943392,8429310218635923085,4995087048734935272,8104224422285466570,3670842657421849136,7959214533774220788,652625484242720220,2722284721562421835,4414154158026765880,4374721048822363939,6784636641036851785,1567105916310751050,1655819415548826405,100010617753470800,2500230377428696400,108147244928177357,6488743702666847100,1030208833512451042,517868711519331530,286645507144174957,7414688474965487574,2830099739611672515,10244758131975187800,2783627668810812790,6115247944172339154,1750050133717828395,6593507433164183035,7600780804912753470,10037086854236705240,5665940135718201465,4647874863774904992,4915559261235613770,284812267350445555,2441213814957766500,808005422924454638,6235111292150200384,1830296172418339150,2000253853359945430,659385681229803300,1135443973045645438,3146441242573032988,12108397472379851670,3300305471714733088,6920860890427440880,1501583629241724525,345062554148533131,5750962099976267250,183288405724488298,1832858415126998900,4057227416964582180,2905880279670356352,2979583450298979760,3252348412685941478,12477479477227212870,1649625640629653704,889557291237466035,2965149512123975250,104959161198984442,6297461633936962200,2868646825289180456,2610535852668396224,22370009454762300,149131312136966160,2982584561837400000,6564871277020329812,6151111385211038025,4474811777292880325,1603383944814799050,4495960640571261810,962052214239172083,11041120290838325233,4430305193147838340,2597846488716748744,6332311055801344380,8161569859641507897,760703827568421909,4531437589171242425,916079857558589255,4056462468962658300,2922279801915755232,394267700707817518,684136390340189110,648776381798510336,6458557270927678380,5934386155766264244,520174861829894313,209525760294769750,6285685123667828220,3507468126303190750,4487350973748588504,691328790359922869,6913191493293188950,815146146083780336,4075673900119917200,415358380646513734,6269735852761851806,2436392430833540625,14451100691295935502,2793691464347535130,4687959013810491510,11085584305760235135,6409375383417884115,1012294159941846275,1751710777687639700,245931996147454958,5814116110875733283,487168422745582725,9743232738418920300,7904142094406383775,4602406106020921724,951886632085634817,6345822513901084500,5634930905161278994,3071448538880912400,3502934065949593605,3935096213799204688,33457118328012785,334566526459990510,266438723129913330,5328700303624474680,2217767139999801285,7032916824081887280,5195699292999280520,14486984461573823295,7210114415711850305,1394073803713604702,6403396144654657260,4026345983447896780,890000310951752520,12046254509144349441,2516447067951202414,338657505137333810,1173207115598755986,6517726696779679500,21895660395883904,437907120860449280,8758020686823680000,3538613239866614226,1997816453137191375,2958890216610785152,3542014318918695024,4293011304280212150,3217405974719286390,3102423437470460130,5169436210053842526,2859892344839997330,10576179656270054960,3212297617748010421,2666970116105367240,2191384876399940704,12022621220534654952,1516651687657709460,2681547804575366720,3361318884985654565,13919767382035356192,4908611566658567586,172760025532764900,3455152561598185200,3191654454596267970,5243089191423511764,4207676717041703045,4514370552123166100,1521323857589382952,566561773400226275,1566903216242569894,11925428815952118414,695261079078311580,2070629947798388301,1964575681051874850,674597515951397038,236973136537457616,5939951582092205720,2748325538866682694,8201286943083226600,3420516175485825808,30245377406161422,403266110346072400,1512226959146307300,1116825770743299365,14358989540889861930,5244788355084757804,767651866772501520,4797757710563919300,11685699099619043800,7958148100267999510,3822225320967800343,6762547951629212125,1020314696579346892,1768309530903349000,5252017034322765891,5730988000556018382,8506471924875778950,10470658446216735354,1728596448569672045,5898921274769659633,587189815573576370,11783404683165586185,159081277125526252,4772372287875037800,8685292573257740376,10240141457704650464,9698046713004642480,6098525175556961892,3038740951830248925,7188084224480117322,1784709681779126679,8557609031884598920,7508004289106388416,3759056960763615525,2291149497099508066,142609178388408466,2852144146785955000,4375953272195853096,10979988952783908600,714904821062365102,4508654173881127872,4686812898338564955,4934861441841392115,676241786527118280,4508216303892281760,9082650269450079324,2514142175037419925,300089257592861202,10502978979516446850,739883638840429182,4026494775216491172,9775099244059095760,6696750435246832712,1206060812458120625,6289509655307459672,1358269825067034546,5181055478186575860,2637455813757462243,3974092126572414450,120245712993153026,10821964863259310940,4508289926409701775,14068483725274036749,5000766723200842875,742030849964439252,5934244123750901413,2095333905392419050,481917800480415728,4703820794625264930,2674680601304553892,1844460229393428660,2189163872214332650,5636376865972598770,1519756722776352710,4546375504633772648,5646232562992022099,6257238979824397960,3043277443472320329,1175846047285957320,6018789404026310922,1117105919451168816,1655661746654777085,5179485001266443189,5388982055514283980,7698389376526980795,1710494453657811780,5129060902198867000,4056156841968771056,194712890632981225,321986687354072949,11163106549909728113,1321439483196871055,1282958868062247516,3592465847714865485,1028050768941428228,2835330999330029037,1326178962173439725,1310575422687115530,1992401260466414570,1912665966151620456,1000571442110359478,641235417653751775,11542078781083713690,8704432236355179930,6035787921595010408,2332213605795829355,9904246029404237420,3453071712840839088,411737200582225695,5489753881276382120,4362165333335239992,3858403462413623500,7309771421874148248,1621462713192748650,11262825788010506822,13218480604492234029,398338561388083830,663888482320610930,1127389167727199360,8455302623094375360,9869350524963419448,10974519319804433010,4938570527890120914,109058080489239875,1090565831491288250,10436764212977004846,1131110474754064475,3189615682444149735,1506410407141315095,4013079788361495609,1210516581142067488,735756524314915935,1721686091066419036,3901177701585334200,20364959977143285,285105528469897590,814576050316815000,2474209699345969242,508577475269862500,10171410011718658000,9423739518432193031,1411985452734138030,10210819659127337418,14358625841020708260,9371723836922800297,2779470343602062474,5060513230498366410,3669602452291543840,1687816594877493080,2880752005584571995,3154074395104883198,2313131178472587830,399054728262052758,2229351244270765590,468203460638354208,5738735623760711432,12219067701278398260,1175530939287210432,1006844477151741735,1961885015061451704,136196153388017988,2042914330617907500,4524702533588508999,9560255814466177950,11902973941311691329,1665843405170422534,4538069683938394470,9628557542624221182,5748748778457357780,8786737165033791810,276578075504778648,3111460781915415150,842401331477577256,3379118506073804445,12646431335838463904,3597098495177992863,5023419195251888760,8458347585289147866,4447978750628389480,1381134094820547674,4132243272711134260,1043313852754534725,13413851890654369050,2671953996115228545,8074788022134212574,1421940013427786166,1493825602614077950,2321605769485973971,565707070469112800,707124177312306680,4057764176594541532,928194854369506535,10509414409764558405,2221590803879524945,3101760643854134838,4518967590122123355,7393167515799187400,6766668987689812110,6165978154052521040,3242938440302467124,14549914935466695954,10939248813661630105,7167178715063942701,4025746448210895520,493339401276133251,175267180922918472,657242960855470650,1136580839686159714,1630848786376820470,209531142245487825,419056568521104150,3782825831858092600,1345041054194137675,2356864154999571750,5875978824859926712,355735481368384004,1778653157021935100,781802995194199835,11960447353239483630,1245648529769063888,10443138344438699053,2551575579941610280,9403609503479553522,2146496076019361430,2998958463792600012,2374589626293342906,5081638089868778425,3015979206727440184,5322163521451821150,4560818104655384670,8092856482509752680,2689256256534470560,2989343591372073670,10015754390582425965,9779760268884439988,5975588310359720832,228087359559148050,2636064555332580908,102854346993811150,9256765247473374540,1663780758055856742,2041938045465663855,958509896394463614,14159659699044790245,6826162657585241046,75701636738534769,1009341427066676200,5410280920858635942,7272749619266456200,7864040993669178760,201359893832106088,7047500458277990200,677495707579356484,722427764543302650,4334507663990722740,13290546708842102208,1395258330078722360,613319495711150685,9812978574977295600,5500006967431544898,6359745929509844550,6101545942034199300,1219999967886369410,2472315131472681250,4051159782740831292,2403043985324571264,2287934287167240870,4566735256095499872,68681785150572485,1373617051684304660,1150787738604839808,4156271133712008710,9668561025990941649,7115512070058925820,877626497681787868,2292189849917466876,798172702180832615,10262081201584625010,167089854125634765,3898710366155126410,6361862169373720353,2340846670319242680,3958128456560149404,510925408006981860,411352506080896295,3290775420918508760,861639179802541875,2461792847665349700,963875047392181925,13816923560119470825,765995975914945071,10595761408680904170,3428811905153663432,9402930908286895440,4344786706262090484,3036061417363631104,1107940833535912860,1356225161993914122,598199432899746580,6723170882639279202,13342455872061868476,481981631464547630,3157919034311172348,5652781624526142440,4675790805061363728,347009193594741493,2064860648388266040,1347944977005093394,2068617145770565840,7723953893615467032,7768551827676370175,4775541748517071375,10150505339544396155,9235738807015293900,1622993308535989962,100124692146074785,1144266715298042000,7151570225334632500,8055526842287768640,2327563016786993160,1415060926643937038,8334091994851963340,3961887222933519313,4799737753530460230,1519800948761101866,4331460231049514157,2656215426398520210,322115527141318066,4803857602997039145,1434406493294567121,11084915302533830576,2693625961110496620,2639820996612212085,700702303156066225,3697051336463611182,844825139779821894,5908602408826088400,908349474567713374,3892873743414568500,155114070703334656,387779940317511040,2235324668086902665,6295033119681802908,1161891070084828395,1412115069716395415,10842642387794362401,1422386022653600010,5707737798137511462,11869440665801140840,524603271376592722,7025453822593508813,320290056320072860,11084894401677929889,10094698526609491080,2566803364480418746,1499195331141529153,2931798126268153415,5699057613131072064,5609805567715366500,8569117326081782416,8968449206547657846,1501093823928285300,5296239925460934462,2926573514555993500,1680358233629537532,1839551786674235130,4340648854665923085,12134768520624714608,4183833880889807165,7840246503509982289,11894020098258444992,1189391993040636740,8127452521357016022,4758640863273615440,4367033025939268268,1204640916231866764,5718446452987673160,672939780000336718,254372333908204360,2774931510581482707,9249572129135029480,231131109974819835,692633430991980647,2258709944505497650,10241224871730543184,13241612981982539097,728352121611464875,8740107868876170180,52535406786625,300198286224440,5253399345684700,7504755269905000,75046543409630000,1500910684259000000,6185468241517274136,3592763872181692884,1132833983454372045,8091337406396962260,3235545945801486330,14517213665933760759,10960094765373223407,9836736826325228685,1220293148180814972,875440896006775655,5307619713293286600,1294810958511476848,2941270985341640,25735775412615590,220589397731157000,1470576233702716000,880632964438734116,1167074421138093750,2067780776968166934,1051553252602644000,485127805734301709,3230710886474046456,9553046165180432730,5442248438464064772,5300237771838841520,153840764901859776,9230322029731695360,1646954862032786670,1020460158090449405,4373342004238052250,126076525799629237,1080641439690419460,1650194572457401965,1942710062232220443,3245347330103860590,4447720499982338936,2827066100672499748,3583467040383858420,5598427835724568005,1491476815433608020,1070760699281098683,1670824816652317340,106658675178873950,2133144916598457080,6727022703474055850,3045726693498547770,671951885677795221,999879722473940120,4411613801140206185,2209507305697114725,895726769736664606,870757363818208655,1863524843750475225,5439848077131458484,4632132748971414610,593912341313784864,10393326831432399120,2637698373142117785,10508881844368865096,796350232927207080,2616359996311250903,1006967902352036136,183652301306305965,877920520238310068,4622202081195202360,7414001395290687176,7095664216352298990,2029705358853277100,1787720394852266888,1853196215400877725,9286461577561129689,1988603615066061732,725829223452433110,3225864531263518960,3194863463104657640,12809468457612195399,11687892279916099338,263242397404679100,3158866552783854960,414690015415497705,1827086269163668736,7365142862984941475,4931078733466168560,135424715054597955,1354229060810582250,609767132979860972,11232235695709839933,3493793072893165605,2643799778913477512,574341155104785120,5743334868309541440,6420775352284676844,5348261232355589600,879026647118467632,1162377400283697950,962828392269710327,4639884632956805445,3678083363069569020,10023967483822040985,12961337150181837420,13243861080718372368,677705127351070004,624513222199079720,2341893347462452110,1341675223336481040,1463046237817292856,113944799729323268,1994007407976122350,1232497272768835857,8101055244999164840,3871458217237114656,5347993178450974590,1000080221666101530,2745311161708104858,5737550240078592380,5666066057837886168,9903845561453870816,1068671463735213675,3966335238687149328,662540078945850750,1777947448597541007,7553784209765945179,7675532416240010840,8893902020546577734,2790978122322192670,1029258537057155342,4189448876969502818,6827603973295362270,279498644805566836,698737311632620450,4199896831416763968,2822021378532218499,3201379813247956480,7706539996010426340,6114426692478716745,5259601574190553640,901098976863847248,4505434954010470800,7855148556762366210,7030018427681876130,818066311497906586,6017224067867783316,2596715778491734375,2779846225290270968,732650142887367900,2480651143936900827,1733217885974115765,2173948203120877015,13413712105144001043,734881271159118390,888140524770919376,9683194182108071984,3990634518463573775,7604229837871722090,3363686982640254075,1335695958681494530,8450732265121006472,6113200152338672120,658167053123799155,121780872960574210,7306755363191381160,3493640558126898492,5276433744447173000,1223958511038337902,6799679252850976500,5444819698237874816,2773857952819761888,1426309547481791700,4574360260431986382,8154213694723844650,2074310796417514278,1594264075637530976,1325635843454045290,1525401576293009382,80239015854003755,3209518071375415960,12522747873658321088,4488572178092010340,4602061827029524416,4855822609808817690,163415045803436440,1429862697881838850,2569056105806263410,3158491231988097252,3366695564310509560,689317524538342770,435594576669171656,4508744657499760440,7135807314404226969,5885348249815524920,738378371175152524,694968196466810667,4213715639822415450,5092881849142371882,5712551763641441075,359122454267057460,5386765498099560900,6349964366325697075,3002035616203387155,2576690099589671840,9640481478893923974,1540790982319422571,1762865281528110970,4464988377739493790,4927991074998608450,688215744074716616,426286584442695756,7459916552506875450,1946938266463706484,102554184763173780,3589349000445662580,1430294618606973585,4986938074023463820,8194280040249077383,3276320056337860920,6942721167662474144,1219257860272523050,6275390102127082625,7528751803501395954,7512484527978867450,4900473017587867732,1911292134877684826,13394846611218632625,2885803995071875304,1900426762954315800,1721171866325776374,1793217319756432714,8086345756707820725,6421318215926024145,8847346664446689400,8270630360435834664,7892164106303915088,3510013453900058625,5098114850008693302,3297813572081372180,533375256948678495,493766030618713617,32580954515742955,2606441970877518160,283737843658829610,315260111742726380,1539360567150263129,7873231087011773025,682137112922655365,2949925000902082000,461129897661592718,8310317909572288908,7566213000732890080,1392391262562246245,9175488332339045610,2584037229212163270,2632380148266401736,322508933263939400,1935028099030812720,4833723452159518815,12768703360967429288,5778995511023438204,3088856793494324860,5571257574676604538,2442451307411894850,922530522452389913,5806574043630423375,2913546007237878315,58840469189389020,117679388934647400,10591005567281101200,4310601735598879077,1564201665121227000,2256368650028529306,12848569203138739200,9283534290295281306,959300098288914681,12241387017943794200,5522026347279799441,11508111210578776560,1485136706069934772,1017218675995956903,829079452357169900,182896348308125788,914469715669552700,12127925214816341382,4612000371958783776,5567640312277174230,6088717400561524225,891274013044993305,7661698733939217075,3161686748248521115,11629723535532170640,217230768123281064,241364348615939600,4007265398290762095,4697626341673310118,1149501742940673025,1471402199991735403,2449507739418209625,376756171745587362,5023349654152055760,8658439111351192410,7673139458812687330,2515092353828755185,971388591424443465,84406909062745008,703381676207454000,2813489777725732800,1172365420298628680,1762447707628773852,8276949414966802696,3790261758761123415,579255336883580661,7657660246079517960,1513272375781132265,3135481319918266505,4307402417668062195,2928886566890842532,139382464160163455,5575225462976875640,4180046407659214128,2341361405006204850,5432680269326595392,5513282860901860800,890833185994127272,2462202933735078996,5152399272870580325,3815391932836345992,7622920739586262075,2228623439646077913,5898345499339686276,1135322033886055330,21024231733668954,840958255130326800,8409472419576991200,7595560324680096546,766093369707231050,5471254588984610076,4981624720013536180,3526337245666463949,3331987644412880271,1537589255617774460,7003140263148809624,6283751765455584225,1074892936440447652,1082302337480917094,2891304645019203875,949416910704804431,5755822929741501500,4504184987216381946,1544917030668557973,1267168838942106540,12455576888426137336,5355275315608829975,5225309948183973220,7067349220148409546,5636441307037461440,9634343963411476288,2301366317072046735,6139880914493565630,2008491250502961406,2645024824830059420,1114223001487282668,2955745289304316980,4732714962427742530,9884048009358772935,7408640292704759940,1073247879748701909,8550063824985296160,7167900261759451578,2881977624026738070,8390510396038028925,8890730210273360365,8564615407804074750,8342446640228503572,7142096516223656204,3241742436648629220,2286443490702969964,3539497996700813660,796801863742202565,7632682918826318930,772255044496115285,2562479332831606916,6161036006417438580,5460267541433807826,6294778192592564730,829849140404476460,494791293595488910,7773729262968075435,2932933650096898175,2070774459776921734,693056059200021680,3430700132559281036,636494281620938415,6364859870063962530,1895567734840682448,4465352637573836625,3549833339728181607,5069921571869306600,7225811091104309964,4766626311642141108,11195307577770452840,1114889742505630686,11916649326115478640,3256397927697044328,2552413690594870284,3212580273170494625,2739569251853385528,4098057541709908400,441983653464958395,1473259670813647150,980628517339452860,2525598396694156161,1851451014711182375,3868728841262886144,56134699934323176,210502386478512450,4209992969297466600,1735119556077455340,8595688985620545753,1503112521781682115,2727831227322673875,2508799164367025004,10105111886583386925,4680929850012700806,5591431927323159205,6105748596432506080,3119757272909763532,10895505938214165360,1489331152431186344,5046863550292077780,875883930345162180,1160853238427777734,2062467583024765770,1532827904412773696,2902668274963484895,5866486135862506830,612241827184334760,11020209795624063600,8826833277655269417,917638197623490984,4588131427572107400,3248642466915231452,229128373990954575,5346259341553343850,2402963152458394432,3759619277192682625,2166750705098176236,10620807781768366050,4846021166485776087,5019855613380533583,5256798573585356945,5371333050523992190,9806666477126984370,3730148353804030122,3516735919171614759,922051533460711810,2785464758123972808,4229792002625712320,1844393230803509828,3535486824639028155,4194062863636338760,3333000894200740088,8540836204710157020,10127326500648093975,3197787955732299524,4535479005815005185,5772138558078252537,11115256522437373495,7011942200278971455,4624033103496551368,2406769305712629800,4200007555487923641,9061193907524340400,270784616809250292,4061716673696757180,2688741297139514240,865506011435643564,2884982701671718200,6234125479991584448,4443317672315108404,7293767806335735200,1020949188799201047,4537493251968172600,431967843006394215,7775320607184423870,2992446787597733375,4641968595913125484,3133448243592717645,1327156475284527740,5231164999203038595,7326411022455160320,100331163396727405,7023090660758824750,2310492142353535284,2539548175497343592,3050051178346192150,3115829601469170892,4073867453084801250,2149541490697882476,5869554939718502368,3622322401366039920,1016707490535364615,4682612919716210520,1518286814822222428,4061399836663620416,7830280450482963560,1274122240752893868,9909711722346258200,5181361045144803168,184386777750668624,2765765970954332400,7086942774195932310,2792213812146430025,6855423725050632963,1186933061683619826,5549732298002099115,5375337984981855044,2892285095819393550,7697318426909175816,11090867404148988505,2754545505941419750,5480991964798468716,1098065399177770875,1336472644319112624,506000206316391592,952165048279499140,1546208260012870434,11717219522420704530,1449665612719241148,31528262674725111,35030951613515150,2802440023896493600,1443488951244176850,2559615721235324158,12385029489188438264,9155379345472704735,4240705225373468576,2398315371710171225,7912551173141295440,8170922668812420486,762125162601178290,1193284280231468488,1368125651158349330,1238509312111548918,5487004296476711508,7773265847537500625,2926678299538021984,171614097432784825,983666987704225251,9836543339133023610,9020652602352954290,97189044394397028,2915633834376276600,26113021005816078,1566761113891279080,2009114065452775330,2027488082502510560,1683301649461602540,1533281154973793500,2479852041564348592,11038611659062357240,1891310342284825332,4271290094383164825,1385348917700352722,3004123552530028596,749575709613670260,534928784038084834,3709500220362373045,479989335587385677,14283484971241386852,2826040967173175350,5116968480181140744,3095935408060968550,5113602921337966705,5304238124033512116,7523087163770764145,2219324153884541704,7295673408392292650,405988691827486173,8119669647661321260,683312184860650620,1633872572759926352,5234323320363569220,3466293883616601625,4573620289906396614,527115658426899810,8236047867226588136,3294101622566520700,328258951412743352,317672822557376091,1058895833715817650,635472827205532028,14142675906697906305,6304166975443504305,9569389702324785641,2470666950989239950,1856589109818090705,457038272776044225,8152446889636291488,1482139751326818064,2962806988526908140,1207589721572571610,809439266576738655,395073548204032410,658447482491295350,970801538012645760,74129033654137722,123546807852252850,2470904528696741800,7807849262212000351,4561976362615557180,4540049616100005798,10301739052018104990,207848051399396473,1891965153560491876,13670713652964465240,740693495788020253,7881888921546049040,659856544287508722,4753069776230981352,6751457632361263950,45159423401993577,301058973592167500,13547480619575675700,2420990915841764084,1236689449634983435,7911555872585364013,459953646172078695,1971204722797666590,299958712013621872,11998195185587708800,4412228318825812904,699935176617937505,2315885383557465064,1948965499855711114,114512511417119260,3435331473317071560,648069993079581015,2220941819496413156,2949737245574891828,4772658958796828350,9123912155544884490,1524662474227357810,6018718517575981930,4820111242010411778,37127188305062500,185633572994726500,4640780117387187500,10060916081703873160,9399388069624012481,4717838132376898480,9747992457453531879,8420041205738719060,3979174860623895065,10777742868585090762,4774896415135595925,3053324573415517430,4951179036005739990,2061500483414159145,6173878459462729191,3975279381328076010,2415843570914325988,4238552407839848025,3182925838810171825,6690513085742476640,2182054994268545760,3209380355431878405,7028730123012780,58572005091607300,468570073848994400,7028461613238900000,967774848461835398,207907446084924200,1299404996732558350,994543019878941519,960068280742430760,11171956702158306439,3044362466526055090,2352745612241932083,7129291477337970730,12829592025574662780,7110964143877702080,1389182535332171480,7414729216119766184,2904470311156007442,516493338171547590,4017119327123284340,8340867735122774655,11229946847617336335,6250326292370551615,2546283123329470070,1504044376093335489,4843620192153926040,11186184747323214603,7212928969106911338,6358054272435156200,1532326227518963718,7113476296616477400,4365051749935633025,3556861965555226975,3494094393932960650,4013567610373736856,1845212736981527130,2415467237542542430,6814618264927885704,2500776802375893125,190745584735463771,1519352400509345175,11481003442454949112,1522908542302061082,3986956081556296575,3119783890570315516,9340694375965140680,3161524286089055761,9166979534996322956,1073327090401100160,5399528165479533085,10608957182320847280,2821094820629156365,3328667626972449268,1525399391225749375,5789934781341826628,408138178287190725,1813924466445054040,7969936810811250228,1372495998467887380,1368579065995276774,6022668932373204580,3528196973642501190,7496385184760934189,2180849267356403280,3857005961971743186,96300154679502540,2246975151820583240,23394868685642388,38990954083693700,1559618416265245600,2772374981521238520,1557375051470233848,3059614461971240216,1856065434602042880,8269173305040131766,1917961781552720020,11028771879994942955,7979423250177156666,4289013065555671050,12479775726462266192,8223492239498228875,3171593501664576678,2388990169538523435,9435265583053145640,5204942992433054612,955072920648142450,1229978629701524236,13250708346142957041,599089038082022670,12535569621549378783,9970799462467390170,5853486154678254456,1476866528787615567,507297412729499935,2124120032403947128,7368702121749462655,3648148794118384976,4432941464273286740,10275365910511913960,257634488298600583,973968773731601095,1004997550373222432,5024924309301102560,2692343958017378250,5791037200660850814,127174083012858000,1017379823527597440,4706077331701578595,2802254022889189350,2387601682800413612,2168605116491728455,820107990481054486,1333302816957724935,1513067843396846575,5696148039606852308,8543208361837747980,5689360868683826448,5628894375909616448,10049766939529167040,1348333732389786709,5341222606209211760,2418908446111498704,7600202697780933093,7476138701182882080,7482385380758665314,6288082665741166325,9542956650108046641,1636478704557137324,1387210138745413000,925632201121417349,5289260244933457000,818491137209467864,889009862417564658,2644805406481431375,4845737831985418710,203834440554549075,3397197910175019750,775850001043005472,1352097695608870860,354179355760644968,3048095476909067130,1285891097427306146,470937230329541958,753181121741711585,4503581716108661192,438901698382577595,1950649680489682920,144756736650644034,6513971233189060350,2496709694934929184,1262355523013777100,4663604512333135707,4534021908683032604,503976154000978100,11339320942231945110,12514055804905252725,7662356830904009234,12050327110168002906,2898483536722477300,6954040197046764367,2291934149643119660,647319118238325162,3596172155012187900,1575925034221006120,13277836613572085772,2062035813180580590,1407948579392387448,745559051167275979,5258037466815460950,4551146853546227610,4390074522490201900,4108728360997298112,3553813840980437408,7920572744147727825,4777601463233849910,10914696116420384610,3554767868656978143,3861219882152892678,257598476480267600,2575952458211169440,129062647961635150,1474983195547764640,243014683230565519,1658890478291428290,873279333741136665,10482109024297230840,2678261227395499818,9626523470106631053,947437519155685570,4414508014793718135,310065989143365965,3000220782189303818,4772004404064641848,8144633825035460935,2591351253940884354,2236007468274160360,1577434789877318134,5482547671629682564,1806469592366406380,8243866635329363160,2108167907391171360,5633076766002859044,1458025202498111297,355275747912304450,528319048539270561,1125679258654075125,39414959071154845,551802523387255630,3941397289057247500,7410478670153628140,1258804650700343985,2987228869601942364,2854119188761373872,2204786055659374980,4270477147971735186,3089710548531595540,7337887075804734547,7943622880492912536,2478861888721361325,1578117865289145510,8241868458636885720,5621973558281744352,1255638013403597192,11828011941919819720,3475617185599302807,1324176964253363280,443123498227600312,4926397649052617912,8151658514049411750,4727559570171744396,8881480964070387600,3239132341547124568,7645359544719835932,1985546085630856500,1318818623066907768,390978869522438440,4398457392506840310,441713128074446135,7950737103200725050,3345158289407418540,1825693087313975875,3618555360684309184,9269095336398698346,891267949864391560,2514765313400170948,6888270335292999275,6867573359878788214,1071755839985698270,2720569813844542025,5144148990714357928,131126356090736520,983435414257330380,317978673959164232,2384810338347493500,7761315545831911140,4517417319471816300,791373304092696904,5935225849781327580,1187558079940557880,12327357736741147443,903838414876315490,8341693472323431720,3329738283009830016,986643726231290925,725335677640644512,7253266491168193600,8571263982296634360,4479965256174684576,41791046458631970,208952632265376570,2786000433319402000,4554100290882320288,6271127075260705189,4821377746523258375,445641300307862028,990301684730196400,465018652500276621,3100085802372113740,10001449956413922075,10640423912822906104,2435430919025575275,1119882022044359895,8710085248072894350,11268929750378005485,5321182165829252356,1027425099720510980,2388520194034296959,1504575569720149416,1101583709459818130,2136553057600064223,727613447528319490,1763963794342902912,5790616497922573135,1399136436159118375,10798039079609578713,7277571805785570495,846080076502004175,4700386526190778750,7043865733357651375,10405617241386916848,1981479043564218540,1809896759358257367,7428134431260183762,8344896443903610325,5133303938431769023,1880498074670778300,4233851066640712065,6635381588053441510,2911029637807677960,228720901831894524,2858975826822698250,4617619830443481585,6223147807766321575,2519172267615533610,12683597925206740851,7850365725333276180,2696593619516968908,5592711618019197876,9582106976026086640,7125855913406005281,1525756740976031810,7008720902038521128,6170295633876814440,7927491860375489220,2576582081566146216,6591400480686959340,4195798485590460882,2406808201886718344,7644734961636313575,3536620661316798125,777072132491417625,992485273338899149,1354039438238409616,758758240862889160,2692874918012244723,2788804364598680610,5814275347268842510,445175199096681483,10052219220796163840,6910817852182730445,2082205498872496460,2477237242933396542,1618959717951594810,5503734175275253925,12802812567785195508,11564794790961080960,315895468214924204,7107560202970536390,13568781137499904680,5599433380968829544,3658883710222834380,5224319617280400468,564341608737021404,6121922786079935625,4251247973379470476,4177974296773865600,3445719952922088056,2512579223970663540,2979600870311922870,523287656300223873,3972241661855090985,3657856816685104644,3038782097365646679,1093199735603207880,6072443588432813319,3229812669303173610,789143527249789716,6764792903697506202,10155348226081370160,209536531614292958,2095339475932668100,1789929893323330108,4824840988184671425,136392061029749760,3409759490810649600,3888129740258239020,6758520117912280188,86351023039954283,5180997534751909500,2604029753756659740,1106705057174396550,8607599953538387620,2238796246130141666,135674100069292920,339181072540191780,893034724350958245,6945740099687146730,1370596929676341016,233251303950523230,1471809126748802194,7781716949699901520,886702385894431524,2955638241611751080,2047494654052044325,8117783065871429796,8298709176411111000,3973027484737676520,1560266877580669796,6174251639186706475,2347336437347389558,2247968413837900260,3323279154262073748,2938262851232186085,576694293190475200,3604295018369093200,7410953456385347700,1518371625963291330,5606171866383027414,5449886244529410700,1710103387921377612,569574639702058675,5443397467532603202,5457882653006321575,10711836094199050720,4967348489136887808,9946307899065632535,10083068409069307834,159738854237665844,1597368927697192600,7212521404842284826,101871612867567375,2716542994690698000,203772593720146378,3534306244677741240,9808339732711722272,9802438910122316535,2632683559528994088,3569236005952215648,774139658639977850,6790604906613562840,3259354147769607200,678021438332191260,496481819482623095,7943611700585215600,2486463092655493994,2524837628099276070,415550310498704758,7713399339133995184,475416174980494930,6112418763242392380,2455040090780775240,5403375220809110748,1027810753509732075,6343683969245214240,666444354526888948,564866089812689720,11059498633955969871,1120079378289919963,228840103617987295,2942193875984216010,626361821289666320,1565885382141930760,13031542875996208044,728288526796546350,6068996774210957150,5825020773696783750,409934900921067612,1366432949594338440,8121021320847207240,8377620645701572760,6305333489557229960,2063320341545319570,5219017186232551128,2150249184679638520,4721787564692548088,2554729124308182380,25822828711174104,129112565115890520,3873329605134054000,75415395419833028,6033157896405668800,9291648894623761888,1798928813992284732,9151768444086564520,1257858835251873184,6198847383863319580,2286066123240035822,798557867364398139,1066988662424940125,9907585773513400908,12955478387723938350,334244406031512808,2089002033635355550,3953884048243205160,1581300515968555410,7839301676943703525,1326268302232572541,3536510486405330574,1072660172230523580,6521960712082959402,9115211509588264220,1854223331530175424,8434338076286456552,6828606907110563120,751486785159212648,1420932436319290075,1247342097316884699,11807892972757177317,2548890179226357330,452367677952957274,9343606226806773530,592718662258552932,1143999848611630557,2235155859413140600,7197468731737839282,2506327259979596175,382853355136314325,2559752511595987552,133700585630720280,222831595545752680,2536290694822676220,1558059326611134207,2465615297109268902,10519388880082623045,3174588076508378034,4577025660679277595,2122561408636397519,11504907021833072952,206463726745058790,1032306072817311990,1264670725160720150,7482463644643777512,2766098221845017770,8628890531162383120,6111573104368785010,8524170637158788920,2183297929959673688,9471269033205007798,3896417727390330500,4252050239365165764,1422702222774809600,11811023950490874816,2097473062038660705,3022064382208949220,3576444728177558174,655900678880846330,92039383905977048,1840765316709313760,9882783658137444600,3593254386253435197,1643853135629737690,1757625437950063325,3669068163411482596,2409352022978340050,3566852185159033396,7594661105186779000,12204946263022236360,8230541059948170609,7065210967044923850,2483939213045268996,8576694047687949810,4640824506494572266,1128604282857301181,1190009480456297025,7933300312931350740,1425750429544683900,4697379814154153334,6589946774413004005,2167203701475905550,6886921410179764044,2927945119324138515,267102212370914432,4006484626209290880,2741698696780858140,8718745261439394222,192702926074011815,3004863835096087281,304942878219338576,12197567373071497600,8181955795405146417,7879739424905144475,948461109463562067,5269164581049863650,2940656966120642790,244204353608755862,7641499027149909855,4206043838096927480,2393656354087221685,59868985500496025,598682610142913170,7697254706132962500,4705499453879657160,9929991390936486363,7381821716858550600,856798633081006866,6590458561117814760,11419884492501935312,3065729612636651224,994090575938071885,769306023874296544,5950301457654006030,240765129089749576,6519929488139350472,747018329408203100,824792234751289671,2313401923848563730,418991693748498353,2009593499738144616,1478258523667068390,899879772902595246,5999126028339533400,3327566740827006105,2282389278802209808,6302663818949134375,10208620289305746483,1008555140692203900,1857991402651178978,10625059292876155080,3255465686816543460,1946395459574589093,118767191507958270,8313603095068454820,6576368357677647267,5628473638671106860,7098180963518326075,1458680252170768230,771300497104782183,2936460747355511577,235297229088607660,2282495734307700381,11158705136568051990,5015585737886784892,1394432167766560603,3623614939923240570,1868916963762330118,11075902677055735000,6653339855824776012,13833135691255743246,6255069490154766150,2620407835201320216,6200661181075711000,9682441110877198062,8775928049351710496,7093585567562285350,13071652547559635484,395274431011947790,2691936656750182793,3972263148545266848,253368234842970460,1883846693015518374,13145160045652854975,841037416566873573,8482272904114478763,5854941610509065970,1249932448360897392,1474746223066323495,1127825596761298136,8458590254217120420,2730062672924740280,5507116557629512896,4883310471855466300,3202913586544958349,3382116916994373312,266727609492132550,10668976159545901520,3023408259492025500,10180274960250488856,9513015011995083918,12260401690481124040,6019234361176363158,2903859567437623080,131570134432962814,3947056632247915020,1066356314453762800,2165747047142678148,5765482317746788245,164665381678398664,1234975538469463980,3736752029603620680,12473947435692212325,1130689945565107070,1520529889146845697,491799501734660595,6885110424339815850,289398186388409142,5211627703239892780,1804463052081411852,9914802029300509943,1435969166726160150,122532906893062869,2042190630852326250,8122326934519058022,6420996338350328850,8093445787580607440,1703387697001372076,9690472973962328040,1222080572991774314,5424898457459077765,6524565184965463700,1613939870717976880,231663330970090350,1853284451246412720,4355170303156429494,401574004581339730,3337343774453248296,2970935524172583840,2873282539930061872,2461910490378107508,6453519434004792870,1266289091606373575,3057585900651553530,3891375509130860604,740672370250231536,261152087203272275,5105009861484641135,2001257348957929500,1235918359549899024,13493955188119347711,6114600638568898695,2594095412865998748,3428080718491095630,1177269547753487012,4058409493748633517,2416013481300827610,610766842639366770,2035865146655879500,637647077247057794,108028000897768952,925943231384714400,10802541989452813600,7842568080432394295,289532835640222692,6514411004833489470,4388209166023652600,825775741570351065,2457727577692563800,8892319220805566214,509899600969214301,1315360969566598500,758365010887994468,6500193952607358000,1293679034377725274,1084950208989895460,2319751020691364980,5147774709313239455,2268100620092547240,7204354170668955576,7024698324144336184,4989350211926037750,1099108462652994855,1936172337529460480,497124801785846689,4971188761327283390,2227874288104467120,6403476499914661848,10206699822193498110,638429494733218059,3768810688384295183,5534942761226496285,12428662164367363929,8740345061641327280,8326362255195669204,1160491052217605772,4300807346797226175,30003606941070633,300032497379483250,4000385676343646800,2783713701365924484,8763246982825888140,600478059515703006,2825858347478641510,8483230470208335012,4270345924878234276,1519367748024205520,1778697811846875946,946728997915236075,4561852840562919135,8121220354545603669,3231300280004283225,8647389160062160844,2457223316597584010,3484344639810143529,489953989993445453,659712896869797325,6597050567634280550,1442426822263038780,40663146010954827,1626506516064164280,3552189648383314600,8415329250119050575,2810034189359835750,6688873849068196910,3327552410003540860,2093434646736600860,8409680137872921222,10434732776308165520,2986078165350362388,559977192909001752,12599337303785315700,10304603645314507648,1527574154221716120,975999806627713371,5422156818694138450,7868225135004840060,2419709553844328856,855272091963687030,4871122942333471400,1322650520834382817,2066732835354694360,2003514495821321905,4148202679248484200,1059146378476970775,3178624084037032572,2481742953823947450,2944917937801307632,4535560173510818550,1642674310042654902,5746096936972837945,2979348826753676520,1641419400783744012,3529432308637068325,3524636422096380630,5563286982546559168,4802584987907944480,8665573909331738707,10084218444535611960,10405766113727095111,4560390225610586968,935424898849300955,9888012691165423815,11353692333838858160,5942976437895348368,562955617584500071,7782984392902050735,1413125697003280590,3563719073828241650,3873139411783398680,9754754579858288532,1230047428659501200,1183452742114975059,1435285633252927750,1647985763568717892,1796923245032033430,11254292841255278360,4090347991669583478,7441854663923831520,12260155541311937385,6429037459536537454,3733348221187667325,5315138051254553996,2337352583713150920,3238837324382410101,11418384678814880676,7859533745782401725,7141440371176960015,1580112008485262070,7553385541147971255,5715534848753091327,2034985004436622275,2693270831510787228,3439550960841902670,1938759039105292494,558392182131116480,1116771190981040000,323911921627879494,1079693671926278500,3813286839552553722,40017203882620368,350146405655510100,3001219523821702800,957365152017376860,2417577856047762177,725787043610448510,1209630817600592250,2951642458873806897,313988936024585060,6209682058449689356,11135734951170099429,11350187108219883105,5998160619489318356,1418022715655328170,4444059551128808676,9516599745092584344,3150207747510359490,4884375074731493310,490106808448213740,5179561532927214054,4874587471457863845,4303488676729089050,12475817076431897109,10480445927707186350,4812677783516780307,2343832697206675948,1098170143758772835,5835995685948111008,2755130164660539405,2948323015878324698,3206599104487206547,12660841589321598120,5485673261343909984,2036306209468874960,3298108289955157570,2235184603096427424,8069234472345031965,2062331367523119810,5531354452180846380,4663065621738738228,3785075205010273083,1508928038319980635,807760881663877453,1148224645025454200,7176319766852242750,143263591430413222,6446785930493595750,7345086783590044152,1137957827110785625,1378407058670585458,1635861713460272298,1385727731396423670,2328156493852948552,5302450563615075325,1085222720059907204,2665315128634106588,5705805732041016180,9480601607250301686,6088624954093650660,7543121397763253208,1496387682932740255,4798797190642148855,2038280642204896632,1345468530963508380,1717373329912264392,2574259951164419352,360391543144549280,2252420754841814200,1332124783531246490,1261169279678409864,1546888097643475257,4768854746570322300,818193632174789429,2005160690485905000,5521206017896180374,3812677742106673605,57930084450219930,579294063886719180,344811367235885355,827453857001812404,9376304996206410312,2470440600846247820,9924692514274252477,1489538657479988130,620898207173519361,7254301951042334535,703361919787570395,1517066112897536974,2482798017802908820,6561248670850576365,3044684048800845094,8243813246807142970,675532498466846839,2470643591231743380,6621945482556903086,10714597334902984775,7238538038486464325,825884361430447372,1649351052358584375,1017198779017871264,2542967247970383760,28929149216624360,578576228383273120,7842987418315347030,3089430559278508816,4833160996496125566,561926053883208160,6898949405065151608,3478174188527869875,1841940564415790538,2766140963255560714,3438796230965840490,2911252522715675672,468027673899948480,1509263603732446798,823312968778323881,2446577608552331800,2945525084439248114,3670446257340364840,2834461295595902896,13402749296333321208,4365347819814295125,1480144262758168851,533453720252343975,2892958262137703985,7210147918685754189,6308369291105837760,3088827038120208296,4707879763468989380,673147396209518083,2734626134320231662,1472465684541220460,6129933978580067808,2117003565101298030,4296941935738127616,4105604594532881780,2285990743011890600,8906804656149362599,392130574949921130,871391138854625240,1186906637521481778,6966567737221779765,8404149252963423108,9290410531995690020,4147200028509187104,9358252274224483656,603459227509139075,2559823272628113922,720922113562581900,10813706005618233180,921384987393212933,1289760414278665875,1973068078196988054,2430050982477797820,2641666344155249814,1060791372663969284,549782004747355195,2231094483601892493,1098224817080392890,7371127072811107770,3362840113780865067,50164310695761855,2006549133233954040,1575526527893560770,2082579688233643558,905544586956393524,3398215661793787725,942958724925774596,4637314708810865970,8345442043185903396,4933333649020445968,7453147893412399650,9316285771004753023,3802146259790960100,7918583551637755785,14200092743411737719,6074671290120418620,4638186934871580465,1354766615867697725,3493025875265529848,7300326306065703885,1711398145180210425,634609904058198714,41368021733099880,45963936124468880,459634037146328800,5711923696417506680,112155132332429765,897230668766791400,5271621007429077272,759393096769254438,7577756983358904040,12414970281271197240,3786932101240266615,10744413103531131101,6558548282189446746,4280906723300301900,97729039437677081,558445193461091000,11168774673954720800,9027447193028325264,675536927821893480,667903909574919567,2405171176751409290,804818190045594114,2197782824073895478,1486067697444338840,3639545210271932598,9202120972282712635,3331173686118712434,38122506188792085,304976525813974200,762432506256893100,7737618750448249560,1133804514184376160,683960954893853609,4546045614072534030,1501737684903258505,5679494662955242980,12241462262527090736,3149631035393273043,8978182368791970600,4272116332437728658,9478739239782472500,6186400646073034964,1214871321024753281,3193881807013266345,8020141615097767624,2988183482650150680,1705362614369132424,7475465354169243656,5710305441382477100,128988306262676315,773920914936706950,1992863780333921798,2787990126218182704,4440360428132940510,1104101520387302806,770838688941640495,8253383852114700036,1090159000901375972,7012910733225009650,2721258849511110552,5647517554249073760,2993918273286262130,3608759791557953305,1770425868119343500,5621034744434381190,13078675898825457375,2562155172595967949,2527646640163708658,3114668638455296930,5306579763918948412,5425829929938831210,6399500790804533185,1221470528580444078,10857390915638517600,908738463599678656,4692374376017357900,1953201931148643279,896973123611019630,1900286239793724315,528640371817035377,4304832018513461960,5695144213706962173,7898677435888492435,3105895237760255690,3855707117566975929,954831919044025550,1962028231453232034,942943146526871532,5238512865884285000,8832684994093234278,2867353368338812950,145732830795383286,1249124207694700680,4494058224701843205,491730553673360582,3504603606503106820,6793048322473368280,579026337818032395,5214697191951579975,6544080627249597264,2873330155460012050,250407272688136382,6260110011822207050,8662665517036770870,1771361549323157727,1929324072474823075,2082167864720799624,2445826570531306544,10942265956014822520,4079676742852187064,6352797659117010030,729849997220121416,969755683488392276,1431944546028065650,3707861757519127416,4411657592141219700,466522888701668341,13509237304238971932,6944255445467459295,2775195580206367316,6098287277304561700,5612101658711070715,901122057693582858,6007411620681046200,2342481960509942139,7402326092948192950,3970951528577948957,7416341028328953656,10887547557550855800,5726524080303762036,53062633106881190,4775582359132791660,1682198958960938901,6033377384120950955,710177948171876345,5422923690174684610,7100113527137632680,9278185354515892752,9825721143806096600,10892485761817488111,4124061221626061300,3280774664040506816,881195951586459105,8134092944685377670,6327847680166728282,2263678344989568850,989651707543603692,2677707426797716767,7126142998596516825,3455567484076955460,585145247909145140,4428026898607727428,6325165095254808656,3159840541324646530,9398236965221366358,5724249423939468740,703219263893243019,5469420768657272770,10416250116237007840,1945049398217836329,632939796730430520,3156611274804687,84175340869747120,210435952961255000,1052167770071537000,2068629900531101500,1711793861889068828,2612065187710434540,1027381257512692150,2841624255293588622,11016266626823822420,12059625319794305848,7601676497956879119,540895938914750175,4660339311549002697,2000662503333346140,1206670714313580306,1142437409809925032,2856061010758774700,463926711858567867,1030936514601903700,3706801537210279443,956819438335621848,662297895742913040,7450766557387936380,3368699547976077525,4069091133245654516,8563903003040735336,3659994583936147500,2268834187632812438,836224944822218025,8446519045175157863,4005079590802218292,2113462026542970080,2166156332212460164,2019981744281020845,821196861534459852,6612723639413949946,9261440392865198250,3630597136007094939,9340290848508385005,3578501780978742496,5217222909333713675,6658295650186512920,86125099452163386,574160810971131800,7741809545252342154,2074031787265053616,6072457877426646030,4467063372361695784,59854183910473980,1795605143234757480,2488391558475896574,5517625181822879300,2302590413311656492,450662084672636225,2691977219618474976,5722866202926209624,1096627272607634300,10451702602505631213,551338971039895185,3090897052713946788,5625691019844525224,5690987332566949680,5981769082427673,119634026109141300,4785306828846088800,11171566008426119373,4056542776446173835,7049552206275969168,3646564532716167100,2432396458780268890,1101815999886961373,12304944644193016640,1161291894320131483,2765672558319201075,1582969760542923474,60743642228045260,759286935813381250,9111340136848587000,1933291535840260850,1311025408934858288,2344375700094570072,12155661496093869405,3471285313867618104,1558513345141345850,7367316406408375530,2067369852133024764,2146059280559223225,2265339051948107048,1075161605572051380,2216418167706937858,73316051922347499,977536313921877800,7777819487112524163,3719790989388868625,2242393300276685172,154937483073424883,4648072000763777550,11499318841715906067,1267603780709655090,5633730977530230480,8690531644232935392,2421013897813536675,2221104843792856374,445455360099344925,2969668890760184580,1901292529776025113,4265296369893190360,5341766749271767269,9578017628086445720,7337851742850549144,6378803106279351875,246567659920389340,1232824399580593060,10187584550580279560,402343623668905688,7040934052162165540,1166528038878789220,3285233806594682823,10330387661055821380,3272166417607732326,1432425710245696654,2537011466405453310,561226836346067165,4375144141853205925,5129908651371987990,3927812464458573270,1611810611175007950,5065011038263877659,1839538121761854500,9119785601466270185,2379862611194744412,6468479186108353520,1528111624451606200,2318658956339680535,1236848849806620544,1546043671237194080,8755690490956216045,1456318532025594679,3185021251583505135,1906618509949759040,3278403199817418390,2175989988640687560,4195091084028984685,4469132578950431775,688769211336491481,5020424763369102563,7716182459928737130,5442215547167870120,3417635962928340510,439472898747160551,7324466046849262350,2208564283009775625,8819938015389410308,10850606728723302975,11647048965796370619,2191660032699994234,3104869468162941990,10544602502238590664,3318626641174183140,4774336108367777322,586140266698904385,2605038625893821000,1592451740313924224,2060966459303995425,6756567866328397516,1457997127294902992,1220900084960467425,5180967193102878162,5948365485205945800,5612010051312463430,1410544063831132664,1479622582835975640,813953075919145131,1134974391876931645,1210142587043673492,7235929053083128295,537248441260841050,1108110708529648537,206380978420465350,2063786672853887580,2551582368946574442,7542174318089399370,6096233543411474276,3115364081114677785,916564301845846444,6378700352870387175,1069748935950540560,1337171207821091060,5986445005005965440,8199903091432846612,5351308901780474424,1510578748643307560,3103658087309060970,13264111474083678105,3225154999115019906,1925542451145686031,107339301017781970,1073381011972821380,6336530475100175350,409719755886738336,1024287943783483440,1553396550446706900,728127669211202624,8735626880889779700,1442365130544924204,1652615482643811518,3000294037730177400,5356633940693656776,3657257093914405395,10331667371514560787,873735395396329786,10922624842233794220,2187452611069176178,10306397949669639020,4209776929142202248,1589606512059317271,3398330655847626330,3726532863325237324,2858672330719970550,290864483719721793,2908612401332028030,462625375203495660,5150551184403282539,7340804325890920010,8184872494145020592,6907002295858385526,2730821044014008400,4144767139116504544,3594347500128759400,8798748530854902680,9211850853870357984,6951389128448146230,4910340045141613611,4347170306690519490,5620886569731996756,1482641854205907605,4428864171781085995,74801377984444632,1309009544048688300,2050883922023473943,4058429145463302267,8209369522198190970,6183182008547835225,2655303852465848410,5287985447530508016,2116042255949215832,4337991876600777315,1071962309587301132,3309073346130613335,9414707307993480024,8997937368788922606,7246846387441214775,1176384954319175755,933906342993832125,3112986549447872370,2748400402648082742,3833028779182190025,652280709515727224,486066274461710145,540067639742042090,5365540773394171016,3202851397935690480,3401229095511239576,4960276437546709000,7352814768277473235,4131860137535885288,3046113559824405035,10786544881426822716,7595264101468098440,245504990334498188,1753587618756878200,2833909918167640080,1168456456232735862,5193888032879920430,6685034320957727136,748637918711208141,8555767065554610000,11128741263799372278,3992537843592245025,1395680510840678124,4038955424756131776,852843345850168760,3334969077812050182,579367288170264545,827658385405448530,2768299122078935165,3209183188667177520,426068455816199775,4260637376688101250,83790745527419455,335159271389164820,99678349437050385,3987089843503292280,4601042012389051710,1536283816286128668,6197469054017549832,4073660860331167140,2182933402466975802,11669456125634576160,403019314881449061,3513054188455649872,2708738747268718125,4597964066461918140,3708411365032901800,11869738648398974304,5888796761360929959,719049861719799090,7388872405351629633,661503545837975650,467729143107170184,1559079918073609680,4226606100247202955,10378643062633185802,3225121159833371575,147376267924720206,5894985619592376240,556326169929183615,5017564490558322906,968739173933215550,700843393380829062,5840297151533943350,1954280327236775055,1059788172137873090,1632032345446920435,4280840511985112082,4995754953157811916,3141013649773402375,4008502644225838692,6063086740954828800,6385116003163519180,666907423337216448,275541005249110335,8266139037081969030,9153588267138281925,473601879536673362,89688901197665223,597919419666314700,7972171094764064800,4107313218359407280,2858044401877817509,7459053573353793344,1447566254514681375,1194371211393534252,12696302120930622135,1505426454307155162,7021253721885807768,7206048538996643800,2263667473065661870,1754731360137748290,9446004344061219543,8041994427604658598,2120339760811827250,6908092335915685152,3417466404998931775,942170275201974702,7851332619566181850,13749893495539089795,9926286111652210137,31783994447727795,227026036226506650,3632376655549298400,12515893092547130070,10459751878428825568,951517080680069760,132158689342812468,330393093848344170,462904606636151610,12343987268054689120,7541741645908259010,13915968020305126407,6447352325240464155,296882318965110190,4182293370264084801,10747365400029648880,5857553505868591604,2473184657940225825,1334663897903919450,3249045071764654585,598986939146184750,3376234920682544712,5355690871857858140,8848282217703027190,264624457998150456,882071854979606800,3784019562158963634,87570381809162260,875694219361151000,1238548384255583499,779675754067639540,3372918952459573701,1796647965443299464,3797000020099768665,432236063632405662,1234946655153203400,1451726578281360927,2787558006707487768,1679261314182999800,629889712550691762,2101461254898745780,530915097618039997,4691712201360780856,2283997823156897750,3205104236141316072,2574061760743764900,3547042138581196375,7177614270831452034,418033417422156100,3135216340430461950,6037054626899582580,5555878965972172566,13059171756597746403,2063101592109078210,1742754278191396464,9314010371322892445,3569174261007190410,1684929799124427632,1664657737287214725,4962284821450333026,3207082183011122200,2583131073859039704,741015699290237475,2229366166755526340,1039133546089419032,2597805500567018300,398512143926265052,4187594542707891390,1012571978196646250,1024707465050691363,2413784729739339900,9974186587030505931,265812471949313892,2658095721037386600,1402118299348486112,1789866119305736550,1729772921367839032,9417355987999956784,2269295906900637615,11429488619639846262,221685022277695160,6650478176331807120,69355109873505093,4854804783656670150,641408791854732928,961084556267269280,2402685214596927920,999240869800171773,3862492786369095060,2392741689416208873,108794146561217825,2175859238848751300,5756295048457256296,2075212213526541825,4394699036538168222,4124886120896754200,3489640366962962536,4288403821038482925,5683797532545117800,2435239140652150434,502614036600233450,2819538792231642117,13792167481900696965,8162018124126817195,2591529138439645716,372479562279164780,1446332553185804795,6597698542849644945,5495749348358844270,12484282692198586779,6434665742841753850,1994909427094730244,8937818147662838063,1105450595651516940,1347116684357395835,10091221926857869005,605298103147419219,3113007595284681913,6506467252957728000,2578091718055592976,5755146076507462250,1500551615621648649,1982899466563538509,10078897262623224360,48169187934416778,1123935524293357300,229847277396479673,985049075220889770,1241916054549230070,12419025862178719260,1217158345993410080,2325324823154509826,1853485018658088219,4380798761325259515,448807168987105173,9399537816858521360,1693948520702436304,4247189863091940555,12146884337188171935,2748028382681054898,6486707529042066625,2358987549784659612,4719659456261603868,3615484580751875,180772271707351250,2892325033712500000,470509926718674558,10921576057562563526,7252657328320061525,1415038577012415772,1178511215268164880,7052770322347802022,4641061791054955848,7915517900950876710,4912376522422419888,4270733181483476715,341187180722286444,1705917458228252220,6015352905429562575,2763762108148568646,4822847247603444180,1239869761381606775,1592534727810360712,2929551474577653135,5203915989788232920,975086085355186670,1909343760046004724,114186002875319094,2283695393872065000,662042568563326314,332271457892576600,178671277908707118,858826989074543396,5175670691431233855,5174123579419149955,1833040815842680160,10444086095262867880,3358259595492240054,163614106550677290,6544493665491846480,2248914966128242475,138065618765714296,1380641299239538960,3079656194414982700,10107273425351242357,1757457231371668410,8143886634159776814,2997415888848380406,4487885172328268240,7157602691747619928,2176997673404462650,2909765874270687928,2826899425630887607,6265858070872110900,5465299317328479875,4502697035915387400,3458431744139667604,7093534991608646595,215006121461454525,955572476233127400,817393083078040805,949096338419911005,20663271050258968,619891461841472400,494837883213593157,1404252207137916630,4613905308495871614,7020916315711962430,5882657537812331120,3949703614678742711,8355086769180581055,1426697576319631665,125036153189664051,7502088560143655700,10530911258710480043,4513334756977125025,8192536164111574485,4229527262887818318,3057212954536304200,12223661888067831072,9110739513858431400,695989214362910494,3376271185738402080,935948342381902360,3074954709864184788,11113170795875650005,12152895176434297347,7476961285799458416,10436322674144888675,4618005537918235578,1412569702270318590,9345798395978553912,8624482539112046166,1883081638268031320,6263106372122147496,3090224715806372620,5251258040416284164,560900496187825122,1792662804417980130,2217892813431530690,280448686107554895,4674094683580006650,7470350696628485975,5624209218351180275,180647732578819415,471409282422480950,7076561897725107921,18327769841920370,183275736029373500,6414582085551888500,10481954940139214200,1074167916719932524,3953251379337380082,1531032630221207050,13422874370502909483,2336635298378484195,1506427388134788306,1858296612830553402,1438709656148200325,1513683657048184278,5713667411980199490,798165257871190752,5986175435334379440,3324883986828977580,7471007104782567519,3142607350494199525,8091540651079943328,5536123644076864272,4124818440409078875,2372893277303738212,872005951971162125,6947066518822573000,832241190656384595,1412722974288622425,12547949455237165312,6210093817453987580,11143790079381608888,9575025090201908274,4467468639942749680,354549692302913418,1620510320999061880,2732803715123243034,5657439049282137952,62036024713465075,620353630708832650,4962776120585794000,8498106519739878678,32923049290476781,987680949116186850,608818463762318456,7610149683410204500,3270908439188862213,7415613810523883920,6313827331614313125,5148943248165686606,5379480551961138000,8036752323260350404,4176972980800833460,4540809318340775175,1678732669966570855,1742139211076635680,607836446924568869,9582347219899380269,1130674030735177470,2546161266289171672,388553431287512880,863442882460426560,4710960697959259192,2368182808883708685,90909865711196350,2727266965769647500,7030509290777797090,3007647198773726184,1823100292919316690,1267418011053235765,352201148150567430,8217939446387811140,6023663080364182424,1251376497247212150,10689242521334174903,1144709108026779575,1842422142094163252,7335393223717665340,545605607063966855,747706452683073001,1199329552433479870,1007387557186176333,3944911129873506504,2081285018476622420,11231083969792581896,4452183399753417090,6449654470468404699,889017496686849406,8349418999210106600,8168631855893105536,7156775932284505410,951617761438823865,3172025568527855550,2316243556870430460,596829335049860269,10085900448294949480,486554215283626698,1621830195759873060,1397401012818270450,1421080782684051076,6632035923211134400,3112445096754851585,1308207453182460588,4767179129239447440,4718127404264347448,7143617809060206090,3692137148077004172,5541686133504701500,6512418772705499350,473247608567809116,154087703655954030,256810121875259670,3996769370123539396,4629016638079314880,4318656233882690564,1383534890756523940,6423399963818488560,296274202692407032,8363571322863320730,11112109477649939408,5359992805783688240,2549943666112638816,656143315589622415,2005968100751530650,1296955774669624237,2100460141492197750,3190730624590797534,7343152420314662364,11323291235373214335,195020129156567676,975090348977300700,678800860541164668,1131322823604686180,2333616942822051635,1180015691424279024,398171606745954085,1689412482857891576,4837092115585623000,1340948934811277055,6894990464400818128,1553117178604820050,5967597175908698344,6426991213405406488,191813824240510475,2798131669158530456,360957661134661240,1891606297709682072,216540078709773303,1924780414578126000,5863768784878786649,4819161222010130625,4549017028808500059,1579549457356515722,688272631189305595,3659451506879258988,12550610066496436935,8398495137086483892,10165752333998643844,818536120044796270,1912860001605514488,1089730667837405370,6226966856538234960,11638120381227760728,2175788061333763575,10939390411142402496,2357434031453159610,3244513056153996172,1356692084507097375,5727001702298508775,2869867821547352514,317183089308806140,7136544489301011330,539782269124346070,8096648942860818750,1156900015885739535,4751992380935959400,6182288388342900085,5559191715475478812,6777545493429061550,3038268426893420148,5046366446880099810,5628328141279380576,12334600353512308440,1308714637071127335,4909274253813480174,5261662011545590735,2491891433718231132,2971659198551058806,2998025971790645660,1224548258684242558,1272202671665043405,1631522587070375118,1716565751131001463,6192671284239309835,5044719771255351525,4789879560964262940,5153720222509537644,2047723477902186994,6669924540338984800,2500462524281961525,1492932199835365125,5673683210814854996,387481947199641305,2324867330657389650,8880146182352957568,2775875319756596780,2010884089927496598,867242980921319392,1201574677406913930,7312577489227863923,8342738363528339680,1024824593307047134,2534243608626312102,3667879675855177650,7057359041973687855,9926890370521335,496339326993617550,1985336544378364200,3142669444560844380,3754635228838279737,5299252058179627080,1778293254290301730,2534481031825303308,4359951332490080600,7487767327570161410,6977672812650373400,1773975637483694810,2069710613280326790,5679761486789212920,257801662741577448,5155979409367082400,354449254461402712,1437264811931094083,4376935300486870485,650384599195489164,59089371277217035,2363550184369432760,4833385759058422388,2231391157486212790,757244282454089556,978952626431784645,518508949729924032,11666329697338161120,2571949264550702640,3459363876307091622,5078255566464556785,6596948278722865609,24159211124136944,966358373301232000,849244347210250407,3955827314097252750,653203553674748532,132828856681588198,5313098923652987600,1500500974674901312,6181563792070804100,9781894928369943981,4326069378642943206,2252355326795544145,423452266700761220,3387582874734816800,2546863122586953180,101434135090686346,2028661594071179800,3724559424031271710,9468635968850289280,1742455274897001546,5283128082978787650,2920616784170304825,1012458587055195876,484517636517619980,7706657295731336841,1463212452998974470,8408363884360250800,5565160865712075110,166787628632993875,406690376128663836,3050146134829384470,6161001756141074160,4309865911442175144,1896851957381865715,3430966017548909847,1895252938797625212,279059278721870115,3189215794934036880,4271991779517727850,4996432852208503825,2620971407725342338,906524433596470325,11117477168602228665,6954564558052121275,5525778640109989608,9008251436773211924,1707584054233787200,283345078675930974,11407894521552845505,593664844330711368,10389027093418737540,5241974427665191125,8576446594862320706,1291364563889998675,3485431250719665858,5929066273993144464,8037854810528945360,4179279096801582232,2107594938970943260,2859176942446679435,8169967277908422376,6546824655373238720,1775967814103030275,3785672293635893580,1075022811553752178,8139032732389141644,1040228559804256180,6052565559227518812,6247665225111195810,3398149785137553880,3204873303104598696,2579544139584987060,186839433346036138,2423221136528357960,10244772413491549563,546277770315363501,6131597922737099400,12625088076086560542,3009197629115383800,3829819521699939324,182295037414963824,515177139260268890,9094790556137733093,2140063842105133140,2616883649682221988,2689391472074147415,10244113835491586925,425509152425997899,4498351592018102480,1157068013197245292,10619541057888831432,2258514371003186190,2535285072099996576,465305043083183160,7755004070146031600,9966576844198851457,759569241370326475,7595614103027177150,6632734623093182130,594466213256285058,3963067243136924520,1034891583353922900,4314535822609735869,296747828390756925,4945746189836777850,3511600599977367198,1286809361855411940,435718276503176120,6971420638661084800,3558922631820468980,8582720921254617960,6695687616620681700,7852457929782734784,6305111301425385575,9465251237244353160,7023049091648789944,6683804902445204625,1117346580769393044,125787270814017260,1572324715070279950,136702134396965502,1215117589863208800,3037762744377502800,3319998168976649865,797995169042954351,4559925531415900520,2684245701943147350,10755952401847791232,7424957500131470400,7291276077561216325,2507118146402393105,1923440511710373810,459954882425527944,1533167199188057200,2815603117564889912,10934616564857342224,10784263897093095395,1325966329485794543,744129579051560730,9468678577986224128,6194849957271969721,1027812089784617875,4459262071050636460,6580262066573912850,83460057312018065,667673612366862920,524352858889795775,9438254705072502630,9911308720667088330,313573353866238615,4389981966298305510,72369024454198000,868419396066463680,13026157496893800000,3562623464578429599,4980754717054911288,2882954828321874750,1012638005174755989,7875992735628431050,1816120640555481438,11702117818417492312,1101986836215153670,4906546586994662106,357373938392437725,445686812025536248,7973031108202287468,2329323619476110940,10559448287100901916,6055654279989049710,2836343147392763456,1670274467895889592,2659033664916984875,4384609524415656347,41037841727525150,574523912744722220,820740060055498600,1164708192273556875,754720658687125764,9043949245972522700,3277198580778356736,1937903805094307716,2763021841712061930,13556453518610547543,1978466486205652890,3570708037980063708,2459652880906277802,1944133399588656160,1354898983159013128,1559782713238436820,4144010920436056916,7826925577924782272,2412581684821502460,2681420841922758402,7841779748154226875,257726157930769463,9123501334253982921,6805245538113625620,5229530487114418992,5093747731328250240,5815886676288697662,937338339801478332,3122023930466439450,13854131530773472197,6614266575521666625,5050093412223102194,4804655595776934480,1833495954376454160,5828198399997925016,7223651786892983890,6577603288959791158,33672104161410988,1010152845342803400,721972111700282742,3609823832765297550,1090150527894718193,12177816575936816992,10381572026227835685,592823409049946629,8671132507064374165,2890578794847065766,3462401681437898979,3604377421045416800,956348338720681068,1664834829848247330,1146984552283004036,1304396584465908119,4857075457363042650,707683962153932381,1649631209585970100,1299634406873617515,8443106801967583116,5604378541075195325,536342756458928978,4475111465669948220,2226737533885869267,3645002936640073156,11682983702488360275,4303793012646812454,93455508402424005,3738182418798400680,4594118238034402335,4994141853586612060,1545865967751700179,6968757287311313925,12919488254476727238,871125272014033263,2682037663082021010,1817115881456831252,7632794805092431950,659863917539250606,5731963164241890291,1064605557116830050,2365766166583219960,890568194773615575,6556270222185026550,4654935731562514692,1453395980034909205,471055648857584743,45941152560718030,1607924067916055890,734530016441385909,8762916691866760880,114719412387828703,983299302976670700,534783851132195343,3055876817792625960,11120556584857817920,11212728904823354688,12135453733775821760,4432454092265121604,144761300042782683,8685590229761012100,2906493851559307191,4110162289303889360,6312193707527541358,10854966868096629915,9002827477046187400,1907592504733756134,219579868239850000,1646832385147631640,7226008531893673263,654208343847289725,1855615982667887571,7494850261707006575,2791886159176810113,2991521373496701110,3595276339531266740,5889125693859510825,2531573422265018235,1885126373351795025,178301012672687230,1426393720483015600,2209979168298051570,6479963767938461150,4178148566355164268,13666342013157479382,3382355380023951435,682242850213583258,287416235843320740,6561336573001150495,1883214217033422966,119915863274012000,899359918873862640,8616198171290626650,1824591304984828506,8875098934020917874,735878455199450505,8893994084679255664,926542858787905175,1165432761419346876,10814875363670189992,2050077005740454340,1760622759225899604,3979179971028930100,2890338897915734720,1095775717440505937,211634647626633960,1587243903275862540,3251437059131257845,4406110127652223032,4431423728190461387,422298708642944350,6756711464159476640,638358868705313975,137630801094528326,5505176761355814640,8898869192596661600,1105656838202581080,1949642228218676775,1772133598512340042,3880858501778483916,2337065784049198440,431871574608220868,4186026695648891835,3888083844115170021,2818445384422386852,40516850409882585,675274068694996550,6752672980903152500,4061211742335856768,785590757353548614,448137493346133225,2987553348214413300,887034263055313635,4186773083515556337,10266296557979213514,4926644126210271960,10324324832149194657,1398017369505515910,2982754707252375944,9700371615496447808,3593962885734150075,3157530745907086467,2317759855491480400,5293247234708462344,3352856938797094254,4223897814301885930,2702416378578193822,5122075831581196450,878494201117764254,5881818227705803710,3500517284560350720,5015379350562879736,359910480949534060,2570763452674348600,458978906228981147,10276769880303239040,3802464258655555818,376941799488526040,8481105762736666140,470650530247433872,588307287043943300,1200844940549590171,7583640177863655955,2939024310908207888,3244440157322489755,2215553415591806550,2703168865254706611,1207325036293859625,4595327193126546812,2256057032835032452,958337690168292485,439754905907349104,1914602563749301965,419400504055276338,8387926444827739560,4487092514335733760,912420358859340123,5286971458098538300,3668148431423042710,8755618726435750528,85692868493571780,1928070332212966110,1163765625469564130,6825768890156596002,2721673491103062258,11323024983648685280,331901294087666859,6637959796485177300,987246694613402531,11282707066907912240,60796053287686225,2431817932660870520,8392570107382074750,1505674778963117102,1014709420636834741,3929136634230706600,286505344973393775,3438029952491989500,2099099195508870534,7942185961164733068,2975348613718644835,6781519524347974224,2290919559845422170,5584166548175922624,5919358544227923808,5794838254975822700,2677580277146373516,4084660309826429190,4255442510554154934,724359823545160905,4346115791084839350,447392032292693463,10832114104256881120,6364112974620040992,11226154642504697646,4662572068197684375,6011730038420876212,2971485242723831925,3820773456787242788,778726180406943097,9287738867469434580,2882574509737235586,749489588216300190,2511558099753439552,278966230893537012,797038474779061200,4328621815785236570,1717327648123301750,7093227625649934705,248839311742001085,5806193098301482250,496294374319993535,2272239206953824760,3841994287902083937,1319181480068427608,178770562713965610,684384369860856441,6495428524693346055,8810600530430425194,1297134610273376802,3614229263929351350,6785598548704509234,2357690451684604350,4052707992802772940,2773384820472323475,6088348986464917980,9488575661014755864,8503841854357909515,554228298399488784,7389637618978606720,8641417038351403950,1473051395796647652,563965898406134320,6731971169005253689,1829190059918500748,3161507838959029005,4730985397229989248,5476163477055199530,11976708710415420675,1667360205201560324,540769019463201175,2920452608406971684,9579805009681961070,1289260013635372574,3355565179408310176,1076189031656968650,12664784008228639338,240617380141057050,2406150077387619060,1784215012517629276,3377418736589928375,3103252428927713391,660026764511296520,1639090225281564522,524437387934863978,3189605225068837995,3834745891024580436,2798380455579886320,9302206161327427614,13260984226077391029,704338398079825165,2423536813358095374,1420584741816417125,11540744525994404481,2114120487621668412,3652989160023247590,7530046337591904432,59813974118019870,4785070863368567520,1305046062560279787,3482990435364456900,10159067272192711029,2261108702099844450,4557776518382578316,276373539882542556,3615166835900260485,2279953072554256438,3914395086899044680,1519880164704589779,4901157409979188232,11605267141501747960,1917578502978208892,118262816444415805,7095699319490736420,6415118208354543751,10974934782195551000,8754618289638093642,309784778739889760,3097817390714887360,6042855837518687824,11878229826918555480,5845129656697767488,5363851549984745900,8264006627321293044,2612627237951667944,4769877064140105600,5149174613506979124,3250250178336886000,8515540604083239702,335716506834708282,2238088116680473400,282545533989270799,3801563601098870565,1853624572323186618,4512180728955391011,1016709008962297635,545278657340723848,1168203090403461735,2324636333252717649,3032359844980965052,2277182094601295930,2395407469282124895,1048556420740045755,6990307754861127420,1488002960071455646,2415551704819199740,5857281235177962645,7275333571986320685,2642811466213007775,9649135060550181203,5282483354221701000,5197346293980952412,9543744982183672800,2048253339868005826,7149917475901077152,1147863162626165925,5160609849840548841,2120756817859985630,7539712459586935824,724061460399347784,6206180501903335200,8970706304710574778,4344601328336000970,1533209946134920887,11809604001926160999,5278052449920677840,733226324747023776,4956140092745936970,5835856226447211349,2193895993110640660,4058513832724991575,1972309386902744970,1546996644941612760,806263567104555495,329465430943932414,3843725905554498250,818273027479519571,1579502513303824500,2500914572944846224,548677496285580725,814193102026812485,708760380002228490,2144045526076431800,5865606699727298290,4144787215885755715,3516277963025058875,2105698919536474626,3157258714317905760,831758588823487978,1591919120117412825,5708445623668691595,679707805629349428,7929847286391975700,1708223210531279652,5779609203433876040,4606914704109623745,1760872567800995090,2036035291991967450,6702901991756992126,1625058784635236678,6114267685542630600,1413994728287721098,500893510192380700,11269994533458427890,259704826591921008,5194046103458740800,1320156812943566140,2166374604056486810,13403289520862382816,1757530258659756542,9020602787929316325,1361106377283131384,4041556722407347780,8820530389580811656,506365527911653452,11393113899232273050,1828571638162094604,474776901954900615,692273486189087703,3845926536610457850,1464160948406173720,3147319107881807215,268321305013258120,2683187056883523440,1441579236335517348,134730624548928525,1347293198462744010,8147286755917066400,5903150855227693858,5193180375118355480,1586388805008063180,4348868775102467748,1531725756269536680,6533667281327207955,4295628082931831674,8799103436984539770,1965183648513514869,1943735935311049140,252524518976144116,2525220774927235160,1212101586624995360,1049813688181191402,1351697228928441255,374419457179173599,5048581010395172544,760985194630897980,5918716560887722760,2018216475978228675,2506961536981414630,1033414547682662691,1658882638767429000,614573784078651462,1968547479266296500,2268885215698127343,8681099854787274501,1536539883173856100,12133500457942786216,9276810774132286760,3507869395977873915,2371203099921136098,612107665216357125,11017831738007314350,8088058194318031470,5149535076442069110,1923031723707707028,555401837718340620,2441539838190626254,7885193756162795430,6231625163692045218,5594329024525702208,3841168729410791100,7288566185502218540,1715666475645174615,9454593692658303603,2336894582666282288,2375450983383619125,1102243512882275800,12400120192347956250,3988551135614103396,3387602372486605888,3444552923833104125,1330176694121387156,3415425001712674560,2314648863186211876,3407662879623595215,4732387014380338480,1247687877072586201,236595258800712240,2365929851476788960,4204547230780737597,37031796961965195,246876274821577660,3703108553211130500,10170426086065778491,4742097283922823729,4812887232185038120,9441324227141523367,4165950248658727640,5401867484166277670,7346593520800381570,2766846116656150100,2777173146836922632,2160510956234769600,5873987119610785656,456019775714902774,1448895574912398690,2929728205031697018,1728282726845530920,3023741077431537295,6903577345785992335,12263265376441184430,9451214162750469728,1850461038551684790,8848000714821966750,5229497818209339787,7492313960389512540,303437902239378452,866957133541384400,2447746436726313436,10805367491824669624,5316672578369684950,11708086779470141118,3960973915836038220,8931572031318149043,2958984993192533220,3755758557303990675,306176687197372264,3827171989118217500,5732496523333775664,2669265145887203448,226035683721284740,1410186343187476194,829955544135221870,523414460039080155,3979515166626186789,6116517033338464470,2589273346272658056,4275320938446541375,5424089630677478915,1528132664587321546,1285205539902155165,2467107758892884916,7011547786636648710,6174164656554068106,3199607746723099480,716071398928517680,2116278972104453883,7167547557097507755,755670194903125740,2005095937372633374,927498893501498400,5346459757971596579,7090027480429240750,928400839646891855,2113183016789960703,10247427653134482265,645203330672309183,1395281109483227220,5394234501957529893,4460008176554539578,6112721930805681695,958391695172985465,255132463161441060,3986131753374194756,636718899081073984,148177164926871340,10372302833668240360,2475181610296347255,2385298746473781775,213032415973731934,8521215584940537200,2647047636144304084,3990190563061374300,1243246658931894090,2587266757254791145,3575001625917955275,1773484632244325124,6622743363989067500,3235983813899690048,2537827610163721320,505777794609026720,3793297427542605840,624936902825418120,1041551613641731560,7620725671004943378,11103477402884810,222067439997238760,1110326661112519000,6218706246864476029,4447461986905741860,237969932217630995,2475968959615008741,1444369497081164925,606186021141909308,1515450681365238670,2331419910672910090,4662171691562206374,10872058327518026310,4629328011414492993,5771297409387913884,440116577951422875,2585422518807616688,2960739840750625200,1631932603134762642,4662798669093354556,3111414396776896860,31193154822008900,545875041177261250,3119256420982030000,193367101142052565,552472203150731500,9666204928093710056,10838969512961617305,10484788917257770707,3857745940525681115,5997668335190535960,6048943205758241958,4545901716956112240,4081817202392185428,4697580993128129088,3465410027023952540,2681644920334549875,4676975210497858900,1630293886231694466,2674357716706596725,6414909868538155800,2736764015882152404,2706678779121658250,6616737572367486492,604910316035927012,1512261514034765650,9108658883003890504,2037839505746736340,866683974919030294,3677807518906626564,2766588657862798910,1403274725196944446,148549338170588445,495159790906338110,581212614375923894,1352402017260164035,7664584224985367582,74072268373944305,4444294216631560980,2385573784159084512,8422667309073615080,10862640812578389588,8363382854540385805,5364807276243965565,1408502024766866904,207004096397047350,1035010737322494330,9263355522096649050,1943719767527597628,1591738437024494616,1744960589128658780,957723055018335125,2054646197737811840,4059653017487838316,1657805488559581088,522243912120863725,3374462911302000426,6748813806539558285,1606440626076759320,743999517666670566,5314232324570113500,1308843714633806442,3312014217590056100,411068909840569356,2008462034930653276,6507404823580626870,1017659663593733448,5145031349134777620,3236859087040569340,2284713790042699715,1103212151189908200,206054172908181873,1602628528230133250,4418215986431438274,5756842268605417830,1926692717461960245,840438336366575672,1096111782912022110,1642980948226164714,2699232624116785290,8356354420109900880,10524015236996398872,3172918441625381295,8810887927558801728,490553971849739496,329043126621296940,1645200222424460340,461550489956011825,4529223988838639004,8973289829393984248,693379207713398570,722460930658729208,1013333582454142380,3266064111332656296,2930988027697536984,2266590338751620750,7138252250101751170,1509032441637809375,1465321792763298439,678777805255035811,2884856411246091150,6669869712376153806,2229732320714907165,3699259666249132076,13364314821031348665,4377902717897010925,3970919325332229660,1835100119145022380,10214637995531786859,2476825703049212244,4603152502709611515,2741924144321312646,7736391630282813420,1421662499887248276,81382418444051087,813816589712254150,1879104554941275675,3919772370066446040,646387263375965112,508341775060828072,7625055512895765000,1157024282284604224,10721334402896028200,1965446710252068244,4618025865978283206,4267093055135767965,168486286088059762,4212117904449193250,1988269964753683185,1255326347258479158,8639038012523025840,1485276388061899482,1765249645985817030,2130253567245003610,4014024770906664132,4812631896865398400,1560935765062204010,122796430039556910,1227952874786061060,202080888647763589,2343416714143957025,152564534466657455,1525631156615439250,2998340994392011338,5115622323980548005,1837884044240626200,5716936028707802020,648311240722331150,1237891083752919312,11003374063545667840,10707119957172847680,7745529168455566528,1851098314365978650,1196647561263440836,10619742229650420056,2578293651176325810,3339409365488866780,1178275792345117850,3707348026169933691,2989764910642792226,7858561634693784520,3586007990137920004,467452191786077695,19152892638942197,191527150293742870,727014597173852910,3189450995690333304,4623845497494583045,1195857509369224338,5296661575175485308,3207944442756789375,9681616792105656944,9923107043997340200,1055265890374091655,4471161526299433432,1868184253002655970,125219679987449408,1252185207524355200,27314874248916378,1365731072209470900,2359812003212974030,4691676363668753095,519770868463401520,742522943400190240,6096334706142829980,6661714568324588725,3646991435832759384,8161453283655507150,9527742421555188976,1049755806765162193,9513093395455841440,4126581760099223676,3024620176861876860,1547815502699724708,1533685771045356656,5499497749347845300,1338206128393885086,5829846199793935800,2043420223467534470,7874286664505418224,4282421813031584560,2797153740462168164,6303662726073500560,987998310728649640,6174932477102992750,4474629237658536915,2864606678760459909,2175634267687696140,5197316794883307234,5439228187912616310,10478331762261009400,689099904693635406,2746582718728115840,1986482496016553988,2921602455216933012,6429720922475904060,9870076825496204674,845823982322812530,4229080968834532830,276109193966871122,4141599782258474250,12578888300961671604,54141605450905875,1624233216833647290,2284072877639893671,7895588634007761960,2820798239206101060,5933818216843210890,2922709386618193020,2385751406168032434,7510571245712207435,5697925215830258528,2013193401935176405,6625956947441025545,845724092636347982,4924093607792574075,7482913003709126802,5046233241759882075,954769757787167277,1217430994011788520,6189166101375008885,9794615747915171745,198061205046201455,565883963476960660,11508999643713308211,1914224790817693750,2181717413426475522,7490216460097067200,11174846411043795472,27049930164957622,270496821257770100,12172245354669269700,1120574309216064240,704446885309286186,2527525788416010288,3334754840154512790,787887149589633267,5379175663535766925,11646001256908063072,1207484213678801162,5544798649720102220,5835494477224206264,5718238087347670365,912931311473171076,10650767815334700620,5049534542971678780,885169462732493544,2650456138204922180,1274936863122234798,6895371865311030108,2561813951459860300,1628365391462217744,970439286005240350,1813852169970237243,3256279137765878273,8798276368039795,113119662427685190,377062096136014500,3770586513328971000,335104619470976944,250805256259754230,10032118633400285360,557675759554340720,12547590031061648280,12330008005493046336,8772358063235711490,1340562004400266086,2010897580710565640,1508888649928412948,2688926178187696992,4179194760017059360,4018679885751077057,9820013722702174215,61577816151849403,615772547720220730,13571912156558840775,9046838133026556584,2756346665301241650,5976671690038975952,5958085220781978606,2524468089706684480,223759003696404696,2237569659381992400,678571672996632046,1466477634738153240,12448590336242890335,8602434379951764156,1948736237692688325,4788107411460555048,463258284737977150,1533177991820883670,8802907141748892588,5795999800025074680,6278265426992574876,10493376005867173146,7307319643145657415,2598303362068279075,3675976546127149440,5911463875795830348,4162671650291539155,577565234010186625,10143185801684879439,1694070922553781300,4544569266580016752,4119445149817597704,1001698616810650470,1080238313113249743,4516899317101456740,2593133685979291679,3028076654844167440,1407898914015220895,537558313440611692,1343883593537592650,7306969749239986644,2284743861382136028,5204779527430272555,5675447028120201055,4045447227703069240,1226702793033202971,3961701947500134992,1825827153032797590,8629796650396293246,1319347934615074965,11694169153576859832,599777899246270312,12151414126588223925,6648286397470319796,236249071529512375,1626644435440140018,3099864809376332680,6989020172552068560,119894456917151550,1598578297204110000,898255526254816678,4179332892134795724,10770140753878390640,8666766957748224138,2013167830489193860,1929265354183318285,1521019654187749336,5636454086080417360,450968413025873229,3006428925252865700,8732604985274418248,219589210737535149,6587616830198421150,8991423389731292224,3176081871039956920,4361661561797938840,978978818089918275,1489995046599489000,320129859077791791,414589343784947200,6218784055916935680,7502929994709275098,7128795496826197850,1911987825007048698,445674758284516300,3565365923989567520,7018604079379040070,6853374222391179640,4939278182335839150,488698351368809675,963866701099401988,2583004179325511907,2600363565025342575,2774165080009600005,7520622953239012875,8830557009462216648,594238085610362349,1296647383953170865,6125134651558773920,2820868385742729530,502653866097412803,380980652237997417,2539848170085409500,2490522911532762848,48602022175393050,162005284005695780,214810897562770107,4296179334990839700,4833036505517951640,751257553136592060,1978488145536873954,1204322830066622448,917671042936233430,2869883425206836450,3729402597229339635,7329871849742583456,5906890853229326370,2927112213837661485,4206119249152401588,85986886989151335,2006342693963413190,2635904101196456378,5555933008326257830,783937671014451180,2469853056738209070,8160350104933213824,5468437181581182324,9612864378316341625,1347509033070275206,4360197132526028400,573183088021134207,636864391850948530,528879491664212640,429712577144336874,5404481531468228295,2721660412430168014,9792291457538133936,2808451868393589110,661327877142233418,3306609792383896950,744784536983309972,1255983916793882316,44061990129882520,881231920065419680,10482446893505982640,5038563974156430564,9057296168831589084,5434649961557736710,48914423147580510,978279719451357000,7182826393625116552,1239401198555653185,69176231255091900,115292688874402060,5764582956964775000,4168667150860121118,4540510633716523236,12388865920801947720,12452176990911684024,8724184532969851440,4888035117308137368,11735784041746029096,2962697317928324940,7296595098523168548,3982405265285033535,4468153006740935110,8387475668960569755,1148876128530264295,5245042398367244312,2195986178110243860,3389090986974317268,5029161219353323985,6184885979971012640,9246074180920842888,10377859735797425235,8082638347337967429,2486606468371234210,266550782709844750,4264774556377504480,5509192689128189000,5574312933093419888,778243785588650136,409101590524005225,1363659836760363450,10155475851990889070,4652976482330612648,8219304167699245859,1821124667188021910,5476169342210822500,11808104528346201270,5192736519199822684,8603658626734663212,7300583223479773225,675955389121738103,3423742698115003260,9581182445872200933,4087570590482792412,3743111856305579520,298884809574645048,6973916982794437200,4758876904432375998,3049248951502929280,10199846173990059125,5825109196604613357,851896180303432050,2585124567776642178,1098172517378388484,5947877746437562495,5332364283355300415,7147746749512911850,1861929179389305305,5038856072582461024,663794490465642360,1106314348857254680,1875552743098278360,5582435664621147703,1922073562863734280,6845349781626713080,3288680673904437420,974512144186665650,463869940964816654,6952337948964536631,9224505619822649820,11621293741456165144,605233534101785305,11295235797384513736,1187466011525265186,864654864644029450,11067599507063578056,11760479365669899800,7019574213472771419,461342015670526235,2636216793568841000,1615006052778024512,3776562685246703240,968333475406104084,336163990238434495,3361610216603203250,1610106093098834184,5817356888900043240,1085282107843738166,186960661474669621,1068337209193911800,10118456523921306663,3335201793742362040,7531489137669682836,2960283598075934028,882859950300421395,2192260217602158730,1087613765205433320,5438020889752957320,2446866181357271464,12683309317282764225,349500591753686406,1809819245695869675,929019290662601138,41633616175187029,416332495314678950,3568532823565344600,3925551018540053595,2143608615720981246,3840377066776157824,323132480290098190,554993401504612936,9712299077516879900,12036931884028187136,6779602093275352566,2378501059424314975,236684521556793622,5917061016592477250,3032298711224711589,7475239146764235276,3449940311388867450,1111435815264677021,1165556695151024260,10942041974732574792,9160576763771594854,4306520519589257400,4965952674229824940,5243829076656102800,741113499166756512,1226952167022648196,5986637475217974940,7367090994109012411,2496781787928273160,695987732873848512,1159969380420173120,7001600532848795745,398523053441312200,1992597796927355000,2062371669606073482,1727341401421020840,1451567659348260280,1074307659597686108,4403589529081361970,10403036033078070054,5904357954481641864,8379926964560605790,10355633898556597011,4799623257073612905,4040739924628812636,4411789909801918208,7897088848638713175,4183237338584432180,1183694531003055500,4067644852935079772,3579512488041972976,8542214299562987225,1383409907174957399,5875103005301307560,6992082532914189489,367166847930482745,815919197932798500,3953471285186216056,610095323551515410,1464192176963073637,2927168373037038244,7949815991466288030,538079498413013879,2232606620980127085,8819650052385113942,235483828835849972,1618685882136527810,1830261186735136025,4556758273049478720,9536356081824262983,11910002366559472596,6959691720668816000,4862846204195076475,1359974990980180200,12982288709371310082,4131664452757034808,4756639305219743115,5842161446440882329,1859889335818513620,18378576019859076,367568318744511120,4594563969594615000,11702012980598562280,4321059702187119990,5103870303548589030,4681691670286177770,736552931128427280,920683152281122620,11846868714820876600,2705912863737606993,9057108706660153685,5197574076369939810,1139657659465708281,580697877057287465,3514903373266796811,1801302284626612046,2562155440770006250,3151432236460027842,11295347720864418800,1496492700859626337,1778432257657178487,11637397028621247165,3422426299549695996,6414377227093836390,9945274522516200028,2120011593363884647,1483624790812885515,931807580081982933,291205925027787960,3882711984457456320,1968281749689761223,3210454247411463925,724280334207405594,6955229864229202920,4849066719929813675,2145756886113106420,6009353443067043550,1205075823145824439,6186102967184180325,97974846287932474,139962853823492620,8397698502154710000,748312303760152904,4676911406083283750,171132713129566348,5133936957094542840,1666283331704272450,4864524142642075080,11573401859691472920,3389792550002115426,3047274638600005611,1779760179898330080,9406231228135044440,7565262324577709160,1134734015868591744,1386632238797662556,1887397135815530100,3428585674110156770,4074458651988611760,3676340782636118376,7468675073030922385,9333009776163927555,6619127770653157032,1765510350015453320,1987319979948232647,1786722010296600424,12401658058303470150,2848779775450511192,3099561459339255975,710405882731220536,2316504450338592090,12354381563066474320,10807601061672790921,13864644166608939555,1506366237785516711,4659964730534186164,1679855942888300310,1355857088111512150,1204514425470980580,12508495091073274113,1592954383436766,7964703328626450,159292695007693800,1592913236491710000,3332009603420614077,297557400423324613,5725649209856425020,1667578301201438532,2161381672369053680,4626713822931950082,12204000762546804008,1358242598898880225,11068721352366107274,10431201206136720625,4021276580326341964,3945027434423807620,1359763513674177400,1401297556579647363,39021340617060165,910490127002556030,3902067031941974700,5897540601113784480,1885357946955527940,4097175072780254820,1958932479769124328,708365755296511912,1362170617778654910,8716888496663495724,1266848944580238470,635465188078212984,134494685720661747,2689870648988277300,8372980152802023084,182533834466693415,3650645398726074060,10171714093293028059,3186250742721493125,592638749170707174,3022135473291375175,8609313891626150836,7465580308057458065,4151929135734045820,10060016531917166748,372179541984027885,2537993190153689632,1022705888853473496,482667042869061495,65283368568645877,5222624810419982800,2123752574544775776,452450547411641458,12936477385549025730,3855982310063588824,1325766674466611615,700871162371406158,834701995480798336,4346103304508073240,426566140266420973,1218749990302750300,8780362954233857742,5944157342613301448,3769499684236768950,653191206766686708,633903451878715175,1489546467502978554,111681863734402229,1116809108582470450,2188143864351918294,4481944338267383680,2917421075160430941,2324575249706459620,154246908919197160,1156841955057182460,1154409406189749255,2284572457165988364,4326841256486702028,1601349468862935045,4957349688232565407,4545646716859562550,12378227776559170695,11265621097037947696,580799156438616735,785697296360150774,6737721550578853120,5652410371081047000,8037739705585517694,8507437654198084875,5407656450217858396,4698399427633997400,1889235070912204246,1315529416632666508,2354084846363493565,2215585169583088672,3679410684870032415,4391327919939757839,6007856784758358888,12041673472587221190,2072082930030913272,6616762352107066260,227480231203024033,1463774088246015458,10325491978030656210,2017749494815041837,554347905513083710,5489407765300529022,7173914499437463575,3236455057300370465,12302875112463087552,1493342437744053855,6289766737338831786,9810122422475347872,11706281417147649800,4488465351956436318,7858853083667787900,4537652269044684552,11135127473769399968,103835414481831165,692230233555125860,375800865713517710,6054137727870670722,556225253416228816,6540390526189731365,526118402893668312,5261139507266091600,7389066195261669765,9102134489833556808,3312454185018825400,3637442411234846304,7308523169630426150,734270438815622261,8208387458796737562,6501129330687353495,161911334047883660,647639863562160400,919610827610040828,4598015295573556740,8668542148141424850,4525874375873185944,1030096292332706625,3139668818168364432,3633698459351584062,5262807745324828060,1636255705380968892,469536766038060175,273453784937196668,2050886086970156310,4669330647696332520,2005144253377845232,3088078794606768040,6204423546914089344,353972333577675400,884923375763277500,6700722870293662570,2127393399878084040,5534912990287363896,1499737652841472252,5588801552828823475,1529764258684187316,6660893662879137660,8626969965072678492,6117375112665373652,4243210062552313125,265125588771647143,7764112273329331675,1188254649615077772,11428503158079980792,2035934145735948775,8890095907148194296,625742221764754530,89382083126969696,4469066594929988800,3684609748941097725,4464669694228819197,8036814289721060920,794340855044722804,2103714615007188315,6364278793001075080,491630796752818710,916253032077242615,4359349634267896155,1963060775295336603,3008920211187682960,3387307942352014470,1214593102073519360,11580051935253777736,2994178264419035155,4088927426191063275,6477662696720200830,1863626723124530700,180339024148500144,2705062693199639760,2849951189101773980,2620399440566812121,2640094495756916240,1733948102539818544,1251512808488717278,727367888067222480,1660618424171500302,2452104702544711870,10284107585759333781,7353853594556194089,3703714367565064600,14680353440813763,293604613028387700,2446684646845163500,1881135376521477769,5728975444320476775,4671201078500124133,3549818441017901710,893373382330374734,11071162085526578624,3014405409478069200,10790356143283657407,2398369439071383050,2403674817130122266,11056087638875288367,4484129358431901945,5372897798644204015,7487603702307730900,1102920439051179091,1198715268569500115,2568254765231408445,7687926121880018295,4177846840334544625,1947566215417700835,1633682227418572730,924072533200660350,306881152819058447,1527550288449847565,4213110572111624313,518085162597229833,1300173077119556535,632380661881316554,636272220126611520,795333653048627280,1485247504626250170,8408330256493151325,478952309679309060,2873689945270263000,2326237932112830918,1446036080469321468,4344856062849219225,6890516923204517785,4778034236774379040,8096411038741931742,9326121895694202736,1741043535601846510,7001297011120629875,3779472667891150300,8370101538900260616,325883682710808004,1629404880831866300,442316702190074335,1341299865705550380,4342671671808366208,140723257974084786,3518052252435674250,5235539286161175168,4086280142661866100,8735261854230830376,3686493759169445712,9158718674859183300,4191609352114007859,104828866552274125,3144839927930097630,9905134521614048912,110645886560800120,2766124244885733800,2730096063987119295,2793381830617825230,301533799782039993,8040834743532334800,806925153768756342,2561201719024417175,2887676533765169740,4613610043335721508,4497474776362288770,9333059679901013826,8064511862040102560,5859397667461955918,1335292412488538470,2570878379396001350,3640553502883995257,2316603007236912940,5849504359049390135,8238275977410726957,4353280999905140625,1939452310977774339,908738686355773050,13397831771373113301,1022367629860068611,4905043682814817100,2269998105111320648,7376131953824868605,9064230713323795828,1251513571039564224,480241838349322300,1920951507944935760,2538402931675863770,4910420624705983242,4175147350622301885,648708584490142975,2606954686099663824,356220740374408660,240823651669840239,7811675926569971811,5870210640112332450,4880159634299728428,7215399558520625565,632069778888685630,239833046155213824,7194932159401728000,2641353494748749415,9762632808933288725,341025899882867804,2557673208166411830,824941106205027975,4390723355254173080,2604286129373241495,1961012448539169730,1129212397396676008,2051731667662138790,3055051424524987356,2829820317273742830,192585174043958734,2315019703715011734,3113444690290891280,502066558082477250,6694165811344350000,4675264666021652815,2595751832571447030,4573525775958188520,3291383639819709693,959507782494293825,2274685675538026794,1422731740798916896,5724955344375337800,1814568277133372532,8906523794476645950,2957048767280171403,2471558709934606896,117944631823653480,982863878912017400,2981577960867509185,3539530594282838604,9181004611157389287,1925256019081948280,387872225155406362,5594908824269278990,588359910279284250,8412550641611312394,982578372394091190,587752280852771022,3918316487962000600,1115822324647905508,8641834199960491413,364310618649632980,2255541141002083336,1020057835586124635,6741508414022278988,2753105105478746998,3415538759184809400,841113848260512625,1426938712949032250,3906420985752005464,529003062402491074,671540310386130035,5017221453478590342,1912546540172017530,1303946264498660016,542924451442594974,1621883055489836490,1163709368375914477,6028663142616236815,5492377050451860450,7285201765387056225,2864294039007024660,3009899091895762974,1593849840399048980,1362942010671527175,1186555181266284989,1090396494638836385,386715678453497367,3867125295205962450,576260752806893252,4579314909705985228,5388592364298647400,578810001980478418,9363470136470149000,5579312430907660038,382142104781625264,3184491640500446000,424612502975053656,4671211661548909640,2443146518252259514,7209009429190711415,2263781180383681940,2084251371564480602,10680161923491549840,6559613463097321398,1432858821251142807,371060708960677645,2120329692556045880,683724901482532645,2043505268217295218,3933922867285107696,1602238906898724880,927627149653373894,42458293475748670,2122897455481299700,1167897752323096458,8158055643531743625,9589305151069013475,9714213821752187650,27402672751152281,822073520981882730,2402732685106739790,11174919179422780521,634941184297770540,8465813897606619360,1349341643510910354,2365906935609056840,5289833018530145295,12122681191193637540,5797409695039720160,7411632755510493567,4331368858320775000,2394026252576690313,2291901142556672200,9283110473046976013,4760108514782788510,1152486391517720120,4027606146461447781,1116086324126824010,2342075741504275218,7435692064209786192,568775408247106875,3215768004299850363,7438218548546079000,5145920829035911755,6362467291729206144,1372753710410885670,5676647381115583504,344818132596257395,1484548161018918352,5074790545179479184,1137020148214235760,1426189157774674748,2442634680466410100,1349456839641019135,10444123098465891471,3342151442438977980,1989798698606511675,479022430397433810,350066093481918774,635833609938105027,2905344267492900025,5978002856516176205,7125400406566507590,8858525608667233304,304898500696164583,9063977625340695450,10095531207437072664,1252520849222835400,383292777881991446,1095113416038403160,3443264110401720140,2750923576424897235,8871700925543559150,2826786374036252553,1547425519223474912,2376554957848814490,7076560739932410272,8084188702530906875,2345371905241195179,1017770483810439400,2544405782976752500,1668514882183366224,2190157794625409060,1657580263899392637,1518391692875132345,13488377666195194695,3433870659895932549,679963661741184015,3885171134253382236,646458114792733952,625148774744439400,223947015049531323,995312091260839000,1900617057114657258,275372497047732504,3647327366931274185,1392256859877090119,569342617444064065,4066700424661861550,3995517392211968055,5454788430066091920,2668071748008843392,1037524360871079880,1148188689081704114,1434161157997772666,3058596664832387070,2905470412764566166,2290735772855113950,9035403461423595948,10971823157752393629,11412952266847166280,3838532076420254577,10706089663271518560,6789719775375549378,3865785062838899431,7275699493183696600,4218621633560710935,1784401148384211000,2078517810417685917,7000281356183081694,359716837743171100,4496424602335038250,5219203994568950100,5977933289391581296,9254517544833895992,8281492413727853880,4541560774555171935,5202436846346112260,4940701117537750614,3632200814991508864,11143547377676886600,183916375581768426,5517447328056491100,3016739415168510290,9972339503637714008,1492531104493867410,725585313954643602,4837196934220325800,2662201429179923166,1011804346845340762,8043423097024689750,10002019223448474440,1832590189412032050,3990855358740979192,1882757819918828735,2072574484891473420,2277961438206911604,2887974164558661640,2417047642953401644,11446210735240809896,1417126061588490105,783961514609211757,6719616778426527300,877519348598654286,9192078795484164496,2501709867275016840,5224553445252387960,381970737437130710,745366830947653278,5220149860405678144,753225208567214040,12453463194871049892,15571325552764025,186854425747585860,311421575175217100,160205627644189800,3204087171294873120,1861972541650396700,613123700452877978,5255304392837507640,1073726435590523225,6060794031575347168,1319003352254498795,8047343529966077298,7539722701499675190,270519772488016070,5841201596125890335,1847687636362510890,33789827355272448,675791204620200960,915463510666345410,7628802298089822850,12831443933578657965,2552331141383649846,9441391724300824704,5219297872854930175,7305755734493005992,4255639316664221595,1771198802801989505,2812879906087942608,700182644098387275,777974576933275610,287926390067131125,6718229440297119150,1131269017108104342,697456136248824890,4966398799380119808,2375440407937990900,3985640882969062551,5952654727712960052,2103431536947830370,6918817439456440384,2896051189346153475,2602659681704068464,8851773496925304666,2115697821525266280,905981516779144948,1456751598543098130,4430812093101042066,11146363037840390094,740473772825673120,8330264419523025240,110334621735413910,367779180460606140,2419247047899758632,5754718476613722100,3351722574991376838,3907369543759467700,3848484675804337408,3554185918031443988,3610138122326366475,1278961816516720549,996971545809483380,1127153376081480111,2737754720362563552,2795847280321953040,6753922502454493664,5325203523378095525,10235031181012151822,794706998622035101,1327974422866532875,3358972532008398471,885356135796172710,10834025056346189984,11272951023611167728,471248441880815280,820013438956090067,519078774525458175,2328753432287265828,1213315347812147607,1379923177185054175,1509922465153126746,11464769184207845625,2247619114096697710,8537849195971052748,2833030548458052635,3899898878371703376,4798824004076284170,723786873941982657,7655172377102028142,183580937307559855,2398120114271474376,2923217421193257770,4751513197944064986,717470328180835665,5133402442612465710,5254523215487919630,4310720913294958300,125479885184771565,752873433933999690,6815455360333194785,520828461504023512,600549749935957835,2795584734848970454,1239580974993740648,27203997821477750,408056785443995610,12241608122916022500,5260284264212486528,6912753726809779776,4809317221372341625,3634358777323059528,3866353079374680440,2256045547455092570,11524376870845684464,4669413840224005080,7377181985190771306,66214099143524710,756726672235868960,2837702939313618600,1224199851479784050,6388969280604751239,8692403433755066850,3998427193192772886,3128722635227214996,607628200402251015,8816409572444240886,2620528883394390315,3171277305874368015,1357390644749563924,7735765934879968800,608431813367227416,5910609719755220100,4783307500134766155,2120681244102823944,926867711351136380,139135817803687805,1947886335333156050,4988820773303195556,376613205285586124,2085643541056233690,2025905475442268420,4904694131212776850,2387446005026248696,1362379092283552337,1340608104215345430,3368985285767087148,2894027386742377830,434589395223458214,1275186129407858918,1876643965572626960,4052367433707924435,428165004468834425,1211037820661402888,12270067657508043747,9458237212349987950,11066684835500614044,14285095430347600,285699699279039040,5713949806466348800,4211156297442202695,220328123437525803,4406528414788323900,8424317598386477592,2577067270735576346,1208119795488473340,5740586185707312924,2676219967391730825,2241191849265801621,5320732057587496664,8168197068858596640,6997980408609416814,3146610965762809560,764820442592059940,2638971124358929773,4899106689694015120,6868821112336587744,6376547232376860175,12908855289709794555,3697611255675101527,3386763165585421375,3801861037912955028,1572823277897827200,431079941467279739,3722765493590910684,129839762316392960,7790325767274485760,2114047130720660520,3629079215914149104,2796625223504413210,1354853607373416280,158714472639580637,313828886327183910,3138264731517320340,2503954780758031788,482678437316875160,8446807732658276660,1323394451622654455,955787446676431502,2095981444377559524,1695235538450566440,8180292261362351578,2829220927557460245,1334856376602449064,4830401360125142333,4570936019747978100,8877105622537090848,3932818226524699500,1248270928402680768,102797398627092916,8223728827571790400,9647634250474877178,9071754976117798980,5233012751594166164,2417650299744898446,2315932537622185650,7116911759009780676,1644670187056782375,1629978682771003598,1909128962064497940,1185042934957156485,792096300600597335,149117883115432845,2982334840916996940,3304502440175892753,1808288098611465480,7121491072337908555,3898177152882538545,7574799860337625488,2795448101337135296,2978655027054148750,5932255643032495770,6743521980135893550,2992195140665667798,3071620616547909896,770852396012160140,110740648644926325,2214796063464247500,1868174482145028834,630700358322633312,7207949091089164800,9370261753120139095,6672393944375890380,380973277989498613,5930163355653649024,3827483555045006220,1453905528781136208,731310375886327635,5421076808941337574,1364268250735900535,1369406604528202590,2841766512086768632,1204848642129841065,6635360695532200436,2195327649448424432,7260303520532171850,6809394509973383595,1346167497907902650,8324036317915700564,2306200471903751906,792706573936689615,256915156870800175,2070251276537938110,6883255720491381144,5872993209192194824,7231800338410957260,3945571980600253437,6161552856981333910,10192223124271545435,2935663624632848965,1269543197586205405,848247019691702332,1173423171343382730,8972955775518137487,4600054207311977784,9187674352695705720,12064677084823853144,2552493776318428310,983623491909530924,2533239418580399656,692521870127551800,7914475667346817920,690378393598051950,6149471746980763648,126209849118865785,1622685768329477250,1076973888501148628,4634795549259546020,7658768790793070667,2523652692636144225,743708894516417575,7814139760028645268,3016833929265431120,2814889105862096632,271631241144537001,8278684846528046895,6547956875828312514,1245881322114955435,738687549735876717,8358272910825310161,342047409431005520,3420448252808528480,5300091964473544350,6994622545733994270,6460916119152436221,28770070595509800,863095602556326960,9404360295229724825,10502306369652884598,8414263345425598827,890506277289028920,8904995606675371920,9366441376670790255,4826374052103358976,9324180615809868221,1053029095463587970,3989803612364005506,9290713664129950620,2245597978044845628,1483474017923885499,1034628703534281765,382092856466660124,3017117465498611720,5638168761593213664,2365852916930340888,11392146372785794840,440699288644540783,5361818733259899360,2277036128252006864,5872399005301919307,2743768871245743950,3412910121580238376,4331183721831859375,8967469743738548055,3058997368906495856,12118357338487611040,6747468025083955715,6148681684401022450,129059042701399728,2581161475714647360,1121554661480424010,207352981516507191,4838199930260023950,2338167947136351288,128550924157904955,3856498800591984750,1181259054153433112,2614368381637489690,5653604094917899694,1234560976224513795,2098393648165530520,7764190624567998492,5412017294732656480,633157573068429596,1797847738009078284,2323316274177161875,191364132028203964,3348847243961402750,185343797092772687,2564316869757713512,1256634496275167160,1396250107287869840,333491576473761290,1076854240793321192,4038173212053155070,10781559259469208180,1249790937399599359,1177367682756659650,4931618512680538914,1110906539683846870,5737295072176412430,365604989045726752,1771654385135485890,10458385286136961656,6489460506084726256,2689553212594090050,2834351244191199528,3397906051703319645,1420178241244707896,2910648587343943788,2024900403308711400,1857261158192114364,135763736916156075,452542417081589070,10221355640130007366,3234180245691724420,1690050353341205260,10439695123885929240,4358528687986179265,2108571716033254950,4042801819184468220,3647273068999910928,11439493502724041160,4561192405751804739,1411502852261164671,430223185569871020,2151099931405180620,197882151263085485,565373372106855260,11649766642595964351,2054284199658831570,2871779526059723552,9448404994894735620,3911577099397246422,6236241539243966176,667244322718875625,10675829907178483600,7601986316227142700,267250919960498146,4008734053989702090,2207860613743460520,2818669639799811681,336365184785893800,3363626906055620400,1794531127146590508,8309939917183368870,477529024367688584,4178348001030834050,2744780875642447894,1466203087289976162,7850023463934952335,2122594811139212030,11359199876400269920,409503572563326571,9276470544808195092,6685931074420208580,418292092393026919,2237343057891585280,1385841877920802239,92716295264160868,1158945121686001250,7072282785972184263,791083895954618500,1336961582152696737,1392445791098889128,408562234102846965,9533048380940980210,2725144007256558680,9588193695309057024,1441531452635685592,4392846714609862145,147645954043828758,8858691875389991400,5862144896087025546,2893341513301937520,9527389457748969240,8301224312651596963,4542494738500487020,1899154259189225829,1827234054704628774,2990376026660886630,2718869269264134637,1640834586298060280,4360290308958191400,5129465157480457422,5340493343128392750,4967398672909993940,821220978197583750,774697043821818943,9960317279302044510,3103051561362990585,768719179462584608,3900700204162903050,999812656785594925,1428293295522737750,1990831334115488740,1146106441808908203,6813105519332273580,5773906466162047504,1949835324014292603,1864541632913548950,1331661730924899188,2127418844860040640,5066166018819037209,3333035335411576878,2334380663241464910,7447439488782501936,2468586759565300500,135858791725463778,3622874547689989280,7327686064244328750,1743526533839095506,4240496404555479500,11298376386959756192,339668571698949211,2670002278467770720,1098361142392799016,10930049130479393295,12820128164403683967,1847155062165002044,141937266707268270,236560380137645510,834209688334957935,1370415684857739470,726610695134534346,2281361990396496880,4811817403072960903,3743456748498895050,12254582541080083464,6828579268337892360,7033803943735376200,572041173227910146,6644600501496984975,4156297637554820168,4812852586408368376,5253697127932254300,6190699754173891922,8314231278473626625,6954011391401836818,3486511724475885252,2120676717525854750,9914242833724800844,765444940389596590,6884215508787820092,1524549296196505516,7326524350637881675,6110757444356998951,1074103118539532075,186796202401552744,466987105186758860,1607709238361584470,1916119366834551775,3850638043513911400,368541385488859800,4146060419192427750,54702793845362460,547023959570178840,6837749767516642500,1427601748942469152,497240731067514181,2277081365779597350,2932900838163875696,4833910702155245200,12314293336038433167,1435184416726429582,2868338038040592275,2287953984674798902,6512076021212379765,6672799008728921316,2836985577294805811,991124399822718080,5083333748512548074,7970032401394105280,2010064872477903759,4615838743819337008,7064394195817560930,3175444991477465427,11201263460102160320,2022342349093113339,2865157165682352396,6239516679502060620,10933229641674234798,5731949563175560660,1660487607850778553,5657162620299322782,733458646347866400,1828361107396760454,1488475219558013375,9979817877657656199,2619340349216043201,680648475356564540,1368002611025673336,5023015404782764340,7373370878302137212,5399434450340130856,2507948152886793640,2361792849293286528,11373420273227947480,441892299196489181,2715701762338214016,2668676700085457360,1099303120763767016,1677258734753858430,10119481061492083512,2838787082534062114,4972365890501496050,2286009635790699546,5993000313884833120,7251636546526607886,1373105808610897263,13389926900303438550,9936903867782468157,656576629473593250,222128276130299188,4145473034217063594,6301581421325637040,450514553190133530,5055645057279383035,3303167927586852738,2088687131048742861,10174701453654598105,2288056992509836599,3011471550499489580,5139799851005356004,1822353693661285206,11870145096176887240,9590149455654657357,8846255797693668840,5831094241595803926,1074566803118129888,782259797157475565,858520051256888475,373742402751279590,1692765041091233045,1951419365490817488,192095003527799250,1563294384245035988,7632041033168228700,2488593646317818625,3869123775118353570,328218297586069330,1776350664324684752,6213380162458520295,6268501914870145968,741786586519165220,2271074532618913455,368725875709499168,627248246882125770,152513154252913976,1525120627237135760,10539982227985731780,5149901623732938372,5716470943641192930,1159417302799238280,3944512953329078995,2155023235734849675,7781036275485060363,1992241887747335850,781908097203007164,509163872762402655,669403800320889900,287317278187100554,12929185195347008250,597305192374067561,8301545137934798502,67652787015501805,6088707384531540570,2584354315901538880,1708948844440646580,2866961324901392624,2096779083505060520,1958163174456509433,816577264728203780,6140647909869374748,5280789675576473870,1383387173188888010,200087566316108799,4001722826757332100,3305259955264680816,3679198490584906108,20140580855547380,402808750403029040,3875355963213380760,1276816800838859985,8192218192304829592,1062736200204142700,7249439891767676810,5862215093400411400,1209538126528639726,12497028760905358437,119782517643721005,8384716668134289210,11444158969844502915,1918876864945058568,626159037716019891,557713359362979715,6921045100410825587,2131367058555182880,3947048950111325744,5528009207707314032,3169220300243069760,551954029889500030,9842863328131825320,615936144212298558,5474949142763832160,4357184084069791320,1144524781250241908,5918379230072344120,3841833193174169118,5143369025195059428,10142064472686511725,3382887803900040054,4201013708851709700,7960913211493617264,6203959562193789552,4657392819092117080,938712278482625619,423349859464335960,2937574488629438395,7724889449505267702,1923426684304981110,2062402553425715816,8502554041391970210,408334666512264331,8200068946873944064,1075150969223755810,190010867721431476,3800190529066708400,1140092553128694389,398366083447111236,2987724546926724150,4707223288831299852,799901756701737700,4236145173692459721,1076891814689971743,9572304212051466000,3786359460572885397,2333965099725157500,7487164805314924602,674049189487272425,1249032243694796860,387696017089702224,10338487671975417600,691420357565054312,1596797644120712712,1357162858955886700,2680386071247113312,585291022497387540,5590154114237215316,1076598691510352405,1872923221290210555,382735454325092694,6378879411236950500,4742378950669792848,4779448293086117959,3562260684849785850,7064617697287206056,2758332546949570710,151520019028617778,432911301616590280,3814645097324730750,242671583446334898,8081578131385668975,8014760758870143210,3384140934630492906,2317584055907447460,6039055480365501555,5508726562806093940,108699603965283448,815241318087843660,8152356075026631000,1357970888797045056,5402021414839225120,11483425427412851208,3712345309237817784,717493959263443455,1060506349182233338,2866957809970233580,4042635932612642897,10705164748619834493,5973366795656506925,6234269523451279695,1200994451912298550,7861060566454610601,9827094534231056715,1097102740842585375,1331402492556075394,1629159094851619350,3380358834100929788,1617107244652880530,3102740627375100075,5502338239157958656,3056700913643600080,10693688950839103097,13688638108433514369,5815822384186141340,784014252968205743,396459698729011650,907847448597606898,10377535035382206216,3209669589890626695,3126236704008474,31262149314297300,260516096911836500,3126171398545398000,3126950299861674325,985276861507818866,7037642898469536500,1925381899152474126,762298420310062340,3049172475966418000,2983504872274355026,9308098683639733400,4688162937535442315,621347860668124632,542964969269916045,5070619768691965446,7291615699267977825,4148975624362167105,102110950501719908,1021102416696861800,2049243629171043214,5387558052437973800,156748442469144966,783736775729638830,1575542983285609400,2206757814804999285,8144275196993630880,1349359316003432552,10153966191807483456,3745605007382278720,783537148799141048,7835317215086106800,2504569313480054456,747323369980766280,8967818356290612000,3583924610967278739,11256327869934024675,850356959349781386,1306577645396745289,1684726156207570020,3136193922357325180,602878103895775575,2408480520370376195,933233508513264868,278190996684263484,142594356761213640,1480928694251407872,59451961595196368,74313466626684960,1291860142289629704,376742105621426556,418593977037855960,4422681386680874004,984502292964842112,517798323576180198,95146878367255572,3330074272115070480,45748216489114872,228736518247506060,1643147996190229718,709595626063207752,1781766660221275392,3477110316264581056,625013028024988320,1362882609482350656,1092037399436942364,1897069759960586976,2086471015778843136,2337928989429154060,2729825038952586432,1315631340355473312,494173667999575696,180274097995784976,220033381542717804,360412254541468624,373476463874762346,168040332789254352,1260277429666552080,508307839458471066,2013172776841093596,380636975703661952,2565816933641110176,127291361096161944,3394368852865408640,210076243588996128,700240236915709440,1346424503194280976,940481389493846424,1732309266515485536,1250886233525948500,1176619910469381972,1382450859872297028,778426315930684448,727968422168946288,951493435647459408,57160681675347070,685914581906645760,531339786812876976,1433013487030161032,1675012327826534976,3972211127117046816,1538523658804466992,621830825645300964,361068991664211558,4024998400735008576,254353556983648608,1303913355596933688,900762885412762848,1161983324391417480,430396786493799552,302825530885398248,2595596082549219360,978421932668543616,131344929144308704,985067500020033240,1087066588606482924,460837916498452344,2409508028594407680,601116767756783856,448609441473290548,134738940422615184,2346012992825452224,2377859330181517200,2696732499504631920,626108305846229712,4553500776368917752,632626214572952292,3328322559242904,22188379595240960,776577977457508800,499060389402966708,220391641746770192,550968248978248560,961059839689979520,294920191849570896,420751630361601132,1557405188024365944,898487676065731224,1663906348036540584,1110234938504328720,334049777284870512,358688941416242208,638690174101412982,172932345330206176,1513128271294960320,108686682198937248,133012708136515152,498787853706342540,82267193585902644,1183562734270879616,1300299969745015560,721757428321275072,750890024306420176,471172676565434172,1024640616841173738,2462024963712628032,1665781795297322352,3820769098934407488,71638507876138324,2149113091508384760,843753101407567872,16662697989142896,166623714054807120,143905332417897090,1439025129009422200,734984700537698640,1030629270810093948,2482997488711267932,125987783349213720,206736067019642928,487675469985962038,826906750103038356,2275669708686239712,734312743644256384,391365935107067574,228105598512523302,525196738366711008,342386185745001288,794999159416236924,816184629081698184,530014775335612200,1784528454962214720,1231316469667997064,419406934110862626,3564107764276302936,707876131656405848,2286059085546231024,627053383850634630,1208136837735974976,3041245772111838984,936681997359689196,1427132408088883140,445198135230763200,1086302200213816488,1080631414901252116,4420319306860090188,524523836300736708,339133018764672928,934804790936975472,1043844756290395992,107324933983466032,83075776651134432,623056198116050280,3487300390035483098,1229847435950766780,709783682847263328,783556040365341848,1172628546993721530,721737293152005216,903458172636022368,1903902414317735850,624194414581329090,196130175157979216,382942713598354464,1026728006028455346,1243658162461429896,3240386805470911656,2943536340534259848,1567736804264369538,3438936389739887442,891757477940306220,1027022421673155560,1903838948469261336,152766421842045132,1782240367363496320,2210351657884413120,851292902197927488,73003731654686616,1946728460916207360,659177025989058432,701100120745517380,3152937297553382052,2434017332955143376,2251776194891366136,245615796297081936,528869780566628796,2488920767284268548,3202868173694909184,322542881359862706,421888055192932464,531904107524820048,195514525460262252,2643711423712892078,192096923211314292,3042724360846244508,842502967063093248,705205621470220776,1485583543696686192,134533528649248864,2017963978387609680,1252961502647400216,1022137145492549564,2654382478032087684,112003090477539336,617669476896895992,1445459762915869734,87081619818242016,580532942440309680,274363026441211290,346146878493420210,307628728530723936,499790572902673104,267331635727235682,362177897548384080,2263568284165554000,1934538414611745888,70759555252986844,546071605861908654,243559791794184804,2667197333928020608,1084596487024649256,693219395654031726,625970223170361696,3570244921030649148,1854329016784761630,211722424919239374,2722093172997453720,397204582840340640,2056885376841025962,1555834293184730250,1937899512339537120,115905395245929596,324655357515875568,219594646845574812,627401241847110560,2550320342582147400,2977967889418709328,44894749319407966,1795755551171619840,859841842768934256,1915634633771896080,2052634442183244612,1528745762651172300,1723814694697514560,857342458505832096,21106065718897092,422113234797341760,85529028714622128,380121743295487680,2550303822874349004,437589972603108072,2917210696506573120,135076179747143822,1802071419060409776,2642278114502048400,196767637774107384,1375962389940935322,1926059238607420620,352057014858668872,1663613508964431168,819146178507613194,314578594900758870,1046940407726246256,1017492867037265784,1808008595867521030,2327489710683065880,908740780489292544,1372708420711019776,844306704441122364,1323889196228473770,632318499786579136,45769227408756096,228841777322410560,565182678084737976,1250904598728692292,4452998697208324368,1114985619296427530,520435021608778608,1255863773566302480,1647758521643011584,3113898338930164674,1743147676478347524,390543292827374912,1848743813663934528,1056726753671752380,69563781074822320,556499673448842240,683024703402300912,1861910863772126076,35645837153956410,2495161219720633800,3740007280413710016,4336624589691180114,666551424462946974,2564476804020950544,227528863280821224,700948849859848062,1899435973207911776,550534776630925824,1160489162408722920,959825884143345248,2705904268830620424,2297844203016101760,783981751257703580,2592809205830200440,2317179001680638370,2621648189730040272,172081498581182784,1321593007303939266,3353089951013887744,2594491847175583560,1402011878493989988,1429296432203790132,171446732498576808,857217455672170320,625743266552586336,738670352664372348,149682312937720122,427655671770134720,40089362914018656,801772116350748480,1348653982759536152,449053336210872096,883404859758584832,2540030186711356968,112445411789822904,1124432905655741760,691499471748683004,1950961502652601584,3068128548765957204,524795368729555152,14682645610447680,110117767009552200,367052307869054000,262060653851995872,4707374409209013336,2554981635037445130,2734443044490059154,1179143598193573980,2347966510921550304,2045937631278157056,1979353598332450230,2019247993788634952,1841601616217666100,18718954813636140,187186029206300600,1646568653126597136,1339561500096708648,1084462356194180976,809106779949562710,3372836876531393904,233934286479772164,1788885036754177026,917392406908221864,1966714474738706960,1848578006934729504,79665488778693000,199159986192302500,2514633677824210704,1043960489133201576,1005021559987201548,2463265740615207408,3667675806296150880,1958417108190868720,496214621662195956,1538769825635440176,713345619258033152,1477972300038710868,121064304795962976,151327548752328760,3721425436287420096,3675977866081737216,2416603591579858944,2516931902760919182,1806312088161783936,971435500026369024,376814394351264816,836104943091785076,1538261301293756988,1235774696028585048,2258081149376990910,2921974834694514588,412304842743480192,1013671331745691416,2472296889208018642,776921839987742352,1521741370717928556,705629652429195648,260159995471591038,2024628791727107664,1387713825917935776,2609965677451030272,358442040441765924,294331040087982392,1696113127099364832,399071002314150144,498829463533841520,1097069415198775128,619093923662272800,953314096974679840,2347582847833069266,1267430271248371824,157117086134835408,698285173886369280,1396589036820942096,349252409084013596,1051086913365207312,361519456037327688,1656015518498701318,542156040948566232,647572647090241740,2408714584999941744,698157250844763852,1745165385186837840,348635921771691104,2068336505646004176,1528250323709696820,3947081435989665930,394070856942026928,3197187162156477696,1657913219258143110,1221799105082415888,524438785050847272,1420351799072247072,1639064275057444176,3348083620091531286,285964261093950384,765674228132140512,2749941026212912752,593211550614565888,1743769456765387200,2774669783078368512,983071492515300564,136319876004452148,316351411300854888,46094513911992512,921873238991028960,1266673857045273072,105567428026057152,703769852873197440,1135998001988955108,2262854278658789774,277760910461459904,2415171309780806928,2534072923166239266,3841671241402990848,277033911501495888,800287798708524136,1353738698609510664,2202187472903375856,1061411643073430352,796984983248882688,2577528139214252688,329941585288758752,1809725025094089264,2000556739688774700,1693245869855094290,494590433976690336,1520756212851240768,418896494439266184,1749878326761734160,2886313139110428192,468979668089667648,4037281626161995392,1692071468671437330,245408456201068576,723259466078975712,1910695852042872192,344514936389013510,1493492535051322266,270641064930609384,758131854534644408,775656946834427196,2220007241699190504,3370743732943116144,504540779490610992,2860915250940424146,40755565825200328,407548185053854080,2072818562582713140,484784817437721362,282266353905137052,1461632603301229824,1032757540949878656,914651262822174012,389811402386938188,2139017874813987192,1995273161897669304,943523663479109640,1336192749842666380,231900522895000080,341267827127086224,413245264488094962,2295765047727666900,3270189962623389696,427891270816000372,577889896842786312,1761307365396554952,662463787304757192,702162770191278336,249392846706737304,1611256521503592864,445760910338370984,826628392601804232,1133478334656962320,2228183881880589072,436283910683255904,113174819649277640,2037109612615554420,517950537889529088,950556843793662048,64867695382432368,486498852204278220,107349628061460108,56380215839416656,140947973249151360,1092616533223882524,3544101440137234116,359462589168782952,2753915898248662464,2863604630219061456,432752167470812958,440715210671926632,2543451098086902816,117244361359741104,191017224101887458,456733040199628416,580634035408411776,445195546904582698,271868374975106772,318533741306546580,117573690437847616,1175715567104801520,785222500515080838,614554691101548544,491471070219389352,367573102775263836,168207635635439094,560681955115535880,1508439718360253160,2429052255378775260,391637510802072078,778982499301418928,1014177338174221584,1478266249868177544,195770021382745410,3132263650251643840,2071570682972153088,1500398839564161156,1502180118865552830,392795925609189720,1359201855651784740,427756078982961400,148941176788393056,1489384852745028480,786488112452714048,1936563966027356526,465871015562718150,4575801106470933504,3457602169765426764,372514650081324564,295944972584385202,3136070973087509220,351384166606291008,1523034082666753616,761963635089197010,1438792596234353664,483066971780156260,2219921111548893390,2102232087280523616,154577622684166740,1030498923488522400,453549624925123782,2805805704897155616,2498257649620805760,2084788399044082788,2207580255673974180,224102399124973554,1991985495342809280,2009106821677614080,1092013730735138046,2031677457990934176,2667667384239863544,1255561025845559328,10431062629498206,69539168423826760,2781516783364521600,345110152620280368,958117184627306964,496445256195947232,295858916562289248,464262263293701444,2803696785378428904,1492687484534870712,1392702835242071980,879803788383615600,1357769791966258314,1122166509472484802,175062871407203952,1767285428679239820,1614056322063604384,1529232959210600952,1532871335201635044,1101977823126361792,1669289324543315640,623416923083565468,512690601852513072,3447299252961117216,1079892921356038752,2450764603483291744,2728239109715896200,1865736745019760960,238095211183515558,271925596532834178,442797359565615840,190767120250719936,799372464487192638,690150582393647592,2785484690829038808,3284058654368385264,1554788113569226584,1951226535045841304,1466680747191177216,1610788371229475784,229670167362434370,487908670217512812,3178260684205371864,1607415565052198272,734935499797885092,94709959130673432,1894165457896216960,1688943773699643456,1243110263230228860,3550671067814193638,1135967869252441908,135947444532256632,2848104237171880152,71153802135617256,711525373012575360,2143738835437817320,115721121385576008,800023644812180796,699913072954514552,2870554815590663808,548196401436552396,2353384227806153676,817217976220966584,936283085840383200,1148050034251989264,931340159688709392,728517378246217632,342915198126640416,601994271132958536,1612876643743894680,3062451507736621824,1608727467075098508,1564549822413649134,299640550082612024,3189123171338210232,2313207736060712832,1444463811144506054,1499056353402849306,916367437265686776,1793066787533779440,2188771213507226964,2082462023603228040,2060338170515016944,2299294068984955560,1715582407565630736,1074083699503661688,1359353354208762528,1872073436892223392,4597058162938902696,417353728851490122,21470477706551160,42940197689002880,1288183203890931600,124919396336042064,1655624754827481728,4555743834787078428,2232173706626008404,581207288376196944,205423628982585228,1473028801101850392,220520622532426586,120986808065324364,335549670617078016,343915260249447132,208657530665734752,7514231981302008,12523499641478320,751396761731692800,210343973804902476,19515516329496592,1170910396341308160,1943112710366555340,1197733709533162290,935053730037609156,2048643290076665040,866532519272093712,661298241806543952,181041557100354324,1152907317179719344,787178879503211184,3647692164412668978,406885885428411322,2536902719869942728,184040493048179712,833606161886486862,1621549257158129256,816174681337085904,3481208110189111584,555146170093364652,1440438698735272470,2215419205595405920,826857769836749400,639810871646985234,1966234841702210890,287196671606111136,1609468356307894200,236322374257746090,534022667115267468,133062928752070440,1156840615348173184,2832534736367270256,2409895720174796172,2230368929188065168,145171439226185832,205192054066366998,2939727476477750412,427503257961291768,219912591824401344,233246074421696304,1749315048048119880,2499875062949996160,7535861553302016,113035953019080960,376779943909670400,1933091142508300824,65631185363801856,135756877596644646,316476173919873448,83108251813390176,3324272210941280640,3582017888015411586,3460761360472225392,1295703344553886656,348963565525921104,244498960228538952,453873664249376370,3098228444496585728,688831788200671764,857305721615689968,123047193556415744,94808451615119964,2993621812384884912,226676512905923784,92583434345327076,2432625470290488528,2881926205295678156,474427505410778562,366061111698450276,179493350229295896,2639809299521574936,386414556917324994,742173339028876296,2748439017809268672,1989237672453729852,240266344542843550,642991681152779112,279803344295602728,824796362920248448,1928516123183067864,1111979972727312336,349477942062134528,373354014571448856,735568692621065904,2395412779276117908,350882000764898196,1938050962871027520,1408542893352948012,1067346791110205424,67498004040104160,1393315092556734852,4570271246779173792,3570774494118113466,979674185866869684,144806091823772928,2854701399576666612,874724415425004276,1276825892498896608,95342299914799872,2383516424794569600,431787675031175610,2061021141366600744,2202816744599207072,79777896002531532,2393295680953986120,177197875519371120,494460609644350188,1490855214530906928,1214216240225921128,3484492817357972640,782919117516278016,2384170226445745692,333838935246712422,1530440253712886208,213085885485017504,51095258713838952,255471906661939080,475019624816546224,567759753875231808,1328540245690349286,1014662054212349202,1577277360591611904,235232307978839520,294035343175482100,682091353782871380,2622086617672242432,314211392591522160,69334860353444208,231112242423419040,695565261073183776,717957042182678736,2511940855827192768,148336000910359332,847619786980301760,119890131633264096,2397761620727697120,2505917809921766646,4152659463323843904,3193203353465318144,2019484403309563920,400935748572240486,3342483844913580732,531774178926528384,479963809886376708,1284333925049293168,463956654849674640,3265932506903271072,889633325781019204,581970600341828424,2493254227057412640,4147298769872854720,3552714714868963182,797591047608825588,1052190126187726944,1558921724372664192,1301023006887796830,4164994662425950,208246187522865000,2082426427260600000,76099477710283776,84553536528599040,325997849853821304,428511837942141888,3504038231918975652,2054665722778611888,1961349201653021088,1139894665710293880,1413090105175076748,1380845683835747646,1341362338374357792,2840241950958311856,117484941970058052,783219653208910320,1400555966904751140,408044628597099200,4337907377585010966,871788812818902876,2070963644430069760,3037468427720610408,3492738699650785278,2207393047234815354,2251381357429604496,701236448803582992,780295327372126848,261829376292560076,151839433172985600,867639221057356000,275655514459055472,1997754553008904770,1081518533084899668,3425762369726973696,661599653009335218,384882965454936492,1466632778718260448,2939330166411096576,118601528463890538,2767322265638050260,1594033541687024460,145656160474006208,1254478453423821108,14042106906640212,1123349602529927680,1463353319207454048,121227098760097590,1697150771243875220,695830558313049984,728658428643433728,75196347347619216,281981552795896140,1683285683126819232,498628781275850856,69877742836066548,3144445506804760740,2276230101875948784,801249795866024280,181304361928265976,3172772981486087140,2281232793488825088,1181824339963730316,656251325548579970,1646820842135795856,149672741221572300,2752360109931737472,2176785874448278560,605207127837276432,3223067792845741848,3168771817219393224,1875934872027833640,834806170358065906,618826263178468224,3055220649326187936,2108820446048144430,331821234359420940,723696489948571920,2867214106703355472,1855315467612583704,2436415764019404060,1827308649847034556,947526255953678784,611933735944533618,805418743616108490,108685658760799824,49210621407090072,738146979891032820,385262606544628512,884186095553987184,1082491676105822848,1577754503146144260,343080130145742432,1715372007913835520,138401952231305664,693049238711517096,1764124480913233780,2079392748817305720,18073227714150528,361458526504906560,769877217340845468,874135810088051808,884813595687569088,411990883515522216,1511837681299429482,247686748820797704,1206789190549561152,2732312097606388572,809578931255879368,3340184008674741888,210483008623430976,1315496922816513400,228029912814729420,1520174144108181600,340739461751613952,147979510596896262,442661427704826792,2225386328320618496,756000453158314320,2675068973404419792,1861280772524674432,2020130943953427072,2706661270396397376,1089218882354541312,11426034459315834,38086149941490240,1015613826635817600,465152873690558856,1511523521991843552,1336179755446323216,1225542743043130368,1886713550696915640,407624979156540368,2547613945211355600,3436362915093424416,889516761874742712,1337214357042776676,310314892449217872,2556350558412897400,894808446460959924,654362774313610824,1132047204552009312,186569633445262956,414263343011633112,3103962865203475428,3559052422184073612,3356829693493009152,297961993388676792,496595128128944040,602854603892752464,422909346042277980,331959035603732592,2493105644743777872,48354126132374496,138152369450108160,1380243080615246832,170640795084845678,303541629072079104,2887765185981034656,149189204144680362,3644101164073596864,2867902385781086976,3288693871402216816,69380373624935124,1734480819988556100,3240861681021980976,3937123717623816768,1549582454724633756,2550789583331068860,2192942680197029460,1446451946958236832,2030272097139294624,275279836196406564,1136936418541548240,559948130705881952,545621820980063562,2381272552052359002,111302501087890280,346312107205659072,1539139695241637520,665205652190516334,290641333561363488,2920415703315461736,28099480168775304,842970604371041520,1760253319868614560,513820245016207296,1740436274236233756,829078134907028544,11250281201385984,150001296840168960,1124991336808252800,1284952698226299448,629679246457000608,41012844565637088,820243495126696080,1987840073582236872,823331821508358336,2018925764340027696,3092916364890491376,1206083967658271490,1704053050318757720,2107869515631483408,422130024995893470,157596177168446808,2161378507913265792,789198479440273980,91850311819347088,3606459577170429402,1148334205057044228,1627546995991817984,2405825997170813190,1063602480383210502,3387655593355682432,359900734493220744,1478040168597393852,2747836371505843828,904662930737593764,2989441034274210600,1162243746377400276,1280110814265652740,2447680363704990720,1654855501289277812,1467320788893204060,2078490049053765660,1074988591404280512,2387616046556088480,699955443958797396,788214440612172816,2506336209202675824,393691444047253800,831388380231221236,97951630330211832,1469250660122692560,478911613253859504,2525666216690417346,1530022554951043230,231208108030432192,967880317658188608,349621541016106392,586723361323763586,2419398204327556488,1229611939607228544,2381521236559081630,634509828227320092,135477578575024128,2032130863017031680,1504913292653479488,986420650873636242,183457137962677328,1976012544428820744,707342406400064430,1440821958463198780,2651689425799758240,718700987102119080,3913509872403622592,1412976669125152284,1427421669682792680,1340202322186278800,187292476840360980,2095562938749743370,157341781282267824,14292187334855688,285839148381672720,591854844921647454,2525630553470947032,426229324729505568,386188617451374348,3411967954515851646,510586750220706288,750869215708460860,934455650666811984,119621378760770502,1025309646427997520,1100168788132639008,100071786824836110,1601122906925727840,4048120653262999128,1801792231948562520,3503258388333536476,1050172211914806078,3180449442443083008,355434040192441848,4062789924701675112,1885275766754651520,1355408778593313792,471747860873339232,507260268849186768,1052665590659464782,677107844997574080,1280089654889983872,879369349970471004,1379976474395031282,1390079773315142352,2485515730632905520,1905309317413457676,292989398791192704,1508036684731617068,689798226880373376,690445070466942636,1050452485489634832,798964927120406592,1127561018437792764,698136203836940330,3260786522180314824,21520899177537540,301287788431315840,3012829895427336600,673902127621982976,1071529581830041792,1527744572638323840,1412631881333362350,226232909461728664,340739544284532036,973526073244385760,1293810727328943876,177661507442542728,3342870799397086176,481280187692041980,1337094527844316554,1611006828024889260,120979525484551416,1056788806269469248,843377824382139816,41187548974386732,2471213737416663360,4008782191201002336,2519066007204727442,4481730188495760312,1314948051447563088,186777651426637184,2222509028334380646,596163549452897472,1142302288641596240,1523706890658604344,658958357008316736,388987555627329912,789617191111222824,1978376670282241152,1942336391267366000,2167093564600192056,4605882744997736784,1402916833434672828,158768053192331172,1058436970685149680,440159200003518940,785140543667653992,265127885964985824,1835679924663929790,165273458657744448,240166136665857948,3087801637212359340,994122030305793852,1285644684004861968,535248676324650624,1984609906072462512,2901815886910592988,117852262955075808,654724486492903200,1658328380524754136,543831100487246550,1579380772742923608,248905134088984200,2986814640067303800,2637042969463222896,987117154981269120,3823320594199937652,931406395791688416,1050764547377548128,561114278415702352,670119261090739200,168004826764256724,523111914091635848,1374730941582175680,334853117820700200,500273235783893608,1089494949713613960,794213969729126352,101841486134725136,2510204680218450990,1865908942311665130,704201252022124992,845897729015848608,754312443075256392,157280346751485406,95401782065338608,238500724528718880,2238576632064621072,901846087803403092,3400308562701351336,633257237196393108,228901477999904820,2746774830692392560,1791708812541967616,1746536103578243520,3560803863409393236,2399892428718153614,662176231923504768,1068008390391348840,355985560109171360,1370400348045497958,2454856683240561768,3825255076322546944,816087970404653292,655625383766001792,724743518143943616,2370687294483417852,53394684675761190,17814307915844718,1246982152922409960,932203406749003488,798215078025816612,80214951538275030,572105894738585856,2520941604368922180,1323974403876522420,569398195538252496,1956846599368328840,1506621495735380880,3464129376459363600,1211223065646183672,3294296621324272536,433699762444861332,103557491663374318,17834410543796880,107004804649698240,2853417238703257600,3296189954791608588,585843928077105918,134971598106350608,1271196086474452992,576105268344178692,2763564559448256306,3436715691175681740,266273009420713152,332593241380410120,1893420618080668236,60299224438505184,261296180490513324,2840780661047195184,2734268458878471024,430161362619212608,1397828510018658816,798902239795127016,1798862203929842456,1111375552944972096,281353706031705516,844037366987755628,655795404177723348,3789355484544643692,504123427411419072,2270884160471555202,896600723932270944,4165036294726775664,3511840534328176848,2625678995460370542,703624784141846410,2630331874612156176,589931656526125344,3546975716181836928,307976913817643472,4510933440982514640,741660018400209832,492221392118436330,4218750318251754702,417608771833400724,3712020988072389120,3088343822911112592,3544429007333796274,3381198403609868736,912527753679882648,4484537411213683674,2053283336483797476,2299134675670516656,1145019278687925408,1807821535410975210,45559359177705954,585754220906709120,1082088808977207264,1285888689062977824,364096344290523012,365098650775516944,557718205007627424,1476375196375014110,234982932947766060,939917368066537920,539819815194154836,505767668906595204,1964670557005277748,1270634815658795216,1074990611592345888,330338371847330430,350988719891047040,559553739801336144,1275311248064458416,765047236625749632,1763476898163357864,570571866637743024,1930377217736652160,1445050323347098320,1040415498837060408,24069172635819960,1444128378670544400,690725539126068864,1807001700740579740,32330079435605340,193977527128108560,262485932754514188,2535727127051622744,2167337506912884000,2774834544572975168,1129933892862792828,1115032602069014706,423031850266669596,3290197791952320480,188171975378806938,335885573989730238,178160275678864896,1126604859358416444,1188614734753295888,910542599927722416,861616119629569536,558725436939014976,316748251720226634,533386181704101096,493540869746636448,1220715074736640152,4164388017482769822,505628536741302524,1259114503414350996,378551216519760960,1693576113325803602,1435131375405731664,2484791807409482640,2333483345873403724,1699423415042916528,734521010575535568,66815525252408828,918288429990974928,2001115883403804864,366980207591171126,256920704981449728,254452098137311368,484249557242808512,1805046343260933960,33173335306528956,379118122869986560,3317233632453648600,621950727122870292,32727337485010080,523629521992938240,1116246497752332048,365310137728254168,240905708567339580,2890825053956926560,733127304447893144,287918091027802158,1521943053301933200,1407390013385259420,397743326460606714,479426427123942006,159922277276451444,1066132522500099840,696451623385540302,261887686300115212,177590197901202720,443968841432548200,2565129964268389056,820226474059724676,142020239834520696,2342893398506492448,2707844996320091658,1303504297977554550,679015822945551552,1632621325894496256,2977879902918029172,1649148831697926670,1047375295072584720,106703556819875136,2134039257232429920,3744352701148812192,47487832960189464,474871240995328360,115896675908710362,129465968234997576,530344455435770256,702456796886729400,1328885969954102370,673416617566361360,1308219394613326272,546976477824440112,1954145432970738546,1963735701625564110,739231180672906512,202703511651881536,4347294752514010698,198407936826305634,2200617928648719560,1704569401951783344,1606636948559002380,209185490367642140,150200286054506208,1001320366605799680,1125484791838931466,1549400665099960512,1240583531140282368,20959546328694924,489048825565841940,552218362749813654,891148146708953892,1193207783980212720,3004434500611889136,307589655402433596,3562199866909334112,3207197495138921004,2328027882758107060,102053733728040936,1785913910254456920,4440065044202031168,2727582708448884078,1833078515494791720,1400869716673870944,78868357933686552,1183007887550169660,2737984334186712688,671716639143334368,1088030518457923584,1035783936276112170,1803431520900437664,1966632609350008320,664945554087776696,1430282791532990736,652535319262565232,1411369809484645824,442210729358417328,460830555716320548,4059111485180848416,3113435474872767072,1665297439886901720,1223056409433858740,1944086895635824080,1439827618975812660,1232456913594993600,3567452927135542830,2338624612538813610,438183208401639624,973726156462400880,1921614348687156048,1034895310590348036,2548835462767804056,124395097254670584,1243932718682682060,130351810902874848,325874747662208640,173444975750127528,1534556693604288816,375585617644679898,938973385415349768,179166235954221312,1567681606026794580,731426703282481984,2574637254246726072,2609296556338952460,1313876929441868760,1598730424188185664,3192034113382521204,1341095116114064784,3216253193116136568,3911518600933098144,262460490713178752,378859730918710860,217112313410304048,814159290901504020,286987001894353080,3661169356845612864,2347739629956615090,552136632737614992,1585120298859205416,876531311365345616,946478888638881444,1944392627821376808,626277639332261024,71024600466871416,1183726110009041700,1245929474510414848,30920138822121504,2164378235309134320,57087907815125908,570870778679114760,1507856755072277340,4013771685664213440,2785833326560596384,1196089782381858132,1168475144170132488,594992983075947432,405413233832092350,1827255197238854568,4112796598179513768,2293365068858913120,951377049028885248,264072650046908652,292630126709069952,2856088937454469600,3409047662253156336,981942192344085288,1198533057834079128,1194941421616004496,2704757386846358466,2137989817875995888,413844512862400800,28064726112120192,420964807232070720,563467957315854822,1010687978174959692,572697988134964096,589367575598572620,1890338062721839650,922273221585914640,2123293704243026868,464616420689580630,22654093849646326,1585763707937612280,1684317669774041088,455327926518840408,4553213673051532080,871886837148159312,749998360217461464,4007719275478676784,2062221949299091104,2130547294837505808,2345047472312842320,134633184524255628,159529083605920754,489677123573096256,60930951021929736,609300757538089880,478471808171711130,1136358583972243212,412987026405393520,937160011052061174,84825834903961008,2120615456621604800,398227935139003296,1801891692411396696,870832464714505700,1475094745375785072,2830520305469588928,2693556229292419788,2667852549679891308,1516548599576266032,224977262655717232,783165836668264416,3723707143941268752,66628678449927304,2998247670210228480,501182802763343448,4068684255035440656,826300034405937024,167678960438189088,2155841570461937760,683320895761074192,336072353761654776,840708499034685552,1411952695884131220,1797919333653544632,3006965160964971360,1131509612652851088,1037137626785507346,3015201317911108544,1052762770432526616,1501748391426205104,459806648515418020,812533541685722988,4223942470424817144,219999337080391476,1980082404277272846,440529920205185052,3092728085180927816,1247211745947674496,229745180862211608,1531612791689993760,2124927508646878128,1847730074460245136,1539720852959719230,3591815490901550514,4607497629218169684,4002293387388765952,1151336203651826478,1716505138574476362,3194217148257142656,1601194836485149872,2052825485688183810,90605354957012,2718122184655920,27180837311947200,815413586498028000,1178530619275706418,1345277696680691712,1989968921852108736,554175265265075940,820753920245317080,4612395049134205212,4560963958144163664,3597552959742633936,3528644316307764516,2632047029725368384,845978459685205824,62600084236009816,1016281701925944642,618340677546198816,17754136787774912,355077734701018560,2663045512730416800,2004366675465702144,1049572941967269792,352734778938496860,149737967081317212,1414034854464721464,1828158885308558592,1927706416730263640,404663025058625652,3874821733045913664,1813776175817523808,1076670150613059060,405938073591661248,3513172261851928508,2011345746156007320,3456731704157836464,1304599012439323944,490478120738515968,200351654924022168,2788622057206065828,252388611788052528,1577406735316902600,154924617355740736,1046939696257484856,158885674975136070,50245610138360472,1004898149831497680,272521891842421308,3032167419597666672,584044121211411312,2136264925838337360,2417360006981660640,1974035027009715318,426357090315366048,2373440866340878512,2196841200308620308,646754463952878114,823316045819810832,64636704691809984,430905359398649040,1848689923685673726,3077465983563312,30774231299830320,923214086521966800,975185299348236,39006869231194560,292547449804622400,924877910931856956,50192843967685530,200768585348097280,2946868238726674344,2675560413901694238,818906939741669020,1011674936708846616,3110816174548173168,342771985159014692,1407291524541109872,1769493033247038912,2258567027980149264,904548757975883496,3376338614150385156,1678557568602299936,334404984961023984,2866288752235283760,819095391294288270,703046090714570064,1967068409660826192,1522658877223112110,1929974936937864120,1483488847124471628,552573156760281088,890858862290675190,2196980673539589126,2345832237158328096,644138295034304664,1310454826941999816,3017289293876247852,1052061887800961520,108304620809510592,261333828898157214,2032568429692990980,2389149517773523680,676559123515888896,2464377738469274592,40391988775150572,288510234015577200,129166775307585696,800417409411404268,2782625255055451872,86576756649035280,692604531925114560,1360140632501131418,2841095188125753678,471992841253025748,108508438191950824,241351849592558592,91012613268659478,2386571672346342048,3129217529938599264,2600838023661500496,708076916573188096,1865577843444398112,1696044195776230272,1325768980436807150,629922443791072110,1937906766654422520,2028185924448044172,1343845073250180600,1429598570902852920,1786923364491126840,2084312149539312600,423236413127830104,1738241037066702942,3157072559940750336,1803296664956440860,83862298186179112,628958650843819980,142962442445415456,2382674867286700800,777534146525286270,55426213116368226,184751525219640240,310960275639091884,109627983023814792,3288794695116499440,483538077363170676,1428884631157648704,1997250339929004272,895979822625709992,1531263253440298752,243260256567549348,1536456069788239248,1794377224415807682,8584344230822700,143070460453680000,572274070476330000,1504680294711409950,1795836192360910560,3537072284970381048,345619287264213622,3070705550813685312,2032155068634533088,3936077831241018496,2805806596527970614,272276284831585056,1361362987859550720,3975639776311958496,2570365950385571712,422817100142930292,1541573908714694688,270008851122854448,280353516185488900,1133437125214502208,777376870020766752,407553034659247988,491843635013684898,621811436337739404,261897014264969776,1870667716019467200,1262773932315921936,128122807983611346,2562421610680482240,1228169619836000688,1312967764632898932,984964020511360428,766631608385893776,1500037288105692096,2715421299884726472,2584678877184395952,1916404302135658752,737404462713179664,922470737709875814,11640688133636544,232810634109335040,2328075064556697600,1784438064701505708,830020521784181700,334083989042475264,90020529604038328,3600772876670174880,2846929934824482024,4361489955971312004,960727421104964928,2838143681630850528,3340019200823021332,994344427864804176,122016404590103364,1573546670337172288,3022221939916632474,1789553510397042624,570256089914934528,731457576200157588,150776412367722012,484371711534123168,1125327059738419752,507998605236056154,316618371112780628,96188649640619448,961873660193763840,1226986970834375124,4080288362798375856,2973653705438500752,2811210628976735456,2665555730260416144,2447517330471593856,2560688229022158864,524932597601245152,1934821844109510426,827505873294330208,56072946286445760,1009299609241373520,491511600149520980,2828721262789787148,331573988968364988,410729776997653760,1239649769172101976,239254530785121024,1495320968373830400,866046184942704840,1904808906158599584,2009823046186855776,1122751143243724512,997588617366874080,3136075657364967772,388247565820431288,2719310737126441392,2320541858316182500,75857636711946924,2275698986998790760,1701539201357896736,568104222151553472,300138960256597758,1332734647814650710,2106456661028266272,1326809248756391448,2982898386209033208,1967390750316505824,2068285097779623360,318301752251129024,1818843161692571520,1368335772925065936,1880708125699465216,298579998603929796,3387347362068443298,1895548036573102512,324070595553683736,345407624569803456,772223372428244456,1189780991529990426,2320438199978383632,2305987521697505184,1955890551144251700,768229453976632032,1160129594993540916,576276567972040944,2275102156878384750,1277829366660203896,2333508694081429632,2163707028493566840,54912719244940484,2196479966463323040,1515478134075834720,1803327110024182720,56239749133651116,1405975312251791100,1023674181735560480,28711392162650460,159505646751229500,2233049838454029000,245991399140687472,1660877518746609024,188604247240867392,2829026737439052480,458691272086702464,2026692584507496928,3421626361100409252,2590595164172911698,1936842665070255960,161355725927120064,721976204598776802,873259325873957622,1066096138692575160,2435470654051884240,1355838696551416330,1406527648883394030,88774130254099356,295909915917259440,3634192862117814510,1381860149837077314,47527458738517968,339477434540677800,1175442344847247806,876745934176601964,439199379317676528,2431123153540460544,3387080775815112530,958765030111668648,352937877631428432,926914734535254608,71519529544940628,1072779036009867180,2550636896775992840,2010530740632804768,3421970360266471248,569673596630986764,1830443065211492160,337418070954106224,2993530991610667662,2345615261479933416,51673003410373740,52411169268669456,349403279973221880,571556699254263984,1017782777826086120,502918787628627828,431320848839622246,452540712115250968,438518987660496384,149178136163623776,3290567265827457364,309732416654760378,86186615067483648,861855048921998080,278382475140208740,229750685775143130,459495457852510040,3051236777604102144,3417664972470000714,1996984482756578742,896772974468465160,3047545727746462740,802462394342383812,484258980034203720,1323943617137958096,1795488801484076440,78917157006491790,946993735356487560,415220686625596896,4152153630576532680,119431837777906878,853073624512211300,1218258404249865468,416556005902581408,200105194229118180,3601847397130632360,427311377025299208,563253828272562312,3109661135026190766,2738626380524103048,2364362931663666164,941381845229899872,518800156228282236,1613565012162247186,1312961021246026080,218496165593503860,1306238874185459124,807863680849025592,2276671475172181752,1133009143865126784,1782941372974099890,502403872557824424,3859947806687567208,612907136178290712,3934094755823280,55076625807077280,550759252483843200,2486301008822452872,1679101683460876560,283846522863701580,171516113375177088,489646439705079072,913945037853871782,1514961740506773474,4098757887246329604,940532983710413376,541654922524283430,311796056387525880,1018100064608142552,992672435575279152,738515792450431188,2480961039495726672,38545321956448608,1541793365314245120,1407361175092628490,2363427187103758050,517618815049475440,1145211315906202740,1990433034644441376,3125122664010231472,2287971599643534528,1684140448931712576,364398121257666492,428274269267825916,1017113565497608920,3018867547039527768,3067888083777987162,599853179745674328,2237815558714782900,785924342311937184,714662422009849044,8568620483801584,85685126527188480,749735424831565200,454033919413940292,1513427369283882360,1808639216115112944,878678934148355648,311189005008097704,251382806321668020,502759300760416160,3917552259018585204,1083342850462409616,785696036348202650,81362387724618504,2034034195132388400,4468447793197547082,2237873433385062492,1424777453315743824,314825661340409352,116086578928760688,1160851263449121120,2584124211354965616,2028929668283523456,1495704199660315512,384211993881972256,4053277909447111656,3379253383723770432,714428744544008920,1634281319085502032,13877842254082704,277553382478638720,3238082411244424800,208748736894864132,1391640900340503040,2510879562029086416,624156058022401872,100397817574128180,602379406369216080,1433079272421287856,1304021363498122038,2661514300070616816,799617454534059264,115129786168727620,131204792131400808,1167862124664322128,2955883961479959200,747998538607677456,1359723955126054896,226147587635035176,1992980189928730176,1395317505688453248,428318025220341308,813070946526254496,506349980511366204,2368544670388040320,147359356150711146,1814643932696789184,3655574568340731392,3918842194979417856,1545239789239360170,154248618418184320,2776440818425950720,101520366840994752,2030382259313504320,1993278019744219296,3152235803997842688,2596909112704978932,1124874475675491408,3476813322084286392,293951218463771012,390130898532447600,1661109055240554630,1052153972684462912,729915167042553240,602325946979352312,3236831967303277770,213039819899291412,2840495998616832960,2458317380351398320,2626091375930369712,671208592349020752,396268828976040064,2711631219636937464,3528239004490201056,331994668849130728,1567536059703218544,573159245523547680,635366542861876490,753615082822701024,946039027726893888,997104035823078652,1214825625091576008,481250291984926926,224918741187216316,1051423564676530320,63971164686554736,519989983455574552,1683353221604130816,1799595444402850500,111905018153525150,2014265729457258300,996724564507042560,464417862555478224,171471336348133998,433353231779079822,547090828655651720,149760162941090112,2152384029179744562,1764909360677851980,1888091055444076704,267193104253882992,2217061585265683912,876407726933383584,76294951597634208,1013382976229981104,1485220322199280788,364435264925459442,77276943574536236,1315951600530073920,420267614160831450,2978708995110515346,756988291529640864,2425418517546822960,529857653625047652,711150502247440290,2025562029428154096,2390805186680183160,783701218752929928,2153527220748889710,1616915674814284096,815607192137843808,1540893707366783490,1652701413089166066,1847287520417620872,65848078243640448,438981885678620480,1099337159782467144,84210159700229328,1684182869282448480,269768826803324496,1319838653701318992,242989095219998408,784348774210376064,711573694358444676,1504105029766686168,2573954140412824416,1502855832785338248,109346469843314352,672133507819289172,949708526904373104,1683758431788047680,1867658957986582728,169693058879526564,337693944059821104,53468186514931116,75999796471475082,2279966534692624620,1487837765861940096,1877425402480120680,1706234140694120238,2207148398879817492,113397815221891776,461462765305698624,270112834084703496,2655788109441183456,1320042521579159320,187356329491494240,2992510329859105566,1205163595366850232,3365681210674226136,1124010847311179580,1688130625259563936,512287226809834224,222597689038807284,378089496961559968,1088291913153353046,189290121534658458,608756854421594640,1791854794463271552,4170041255121568542,455527435574707254,506135569374565320,1436084161389858816,817376149279559944,60777779589964476,202590189799526880,996833797847974488,267854305968363348,1283890151756715552,464622872612289768,106680843644591160,1706873242069084320,291290287221099456,1385534331246602592,255117482539209948,1093347680762888580,646371847561969008,2092076279144569116,443239152591314160,3237641056191014532,33852531789348138,2031127879981592160,2646644988718995264,1777725293365624428,4027178931542918272,3167940353139238572,2266557347567571120,921690195010677008,136037839262077230,1904507277893414880,175647633043053020,2065019851620127746,775354490851458996,316236446958271840,395290902049243200,3510085127391108882,2360663233908418362,637068484509538176,1052310060788766912,2082234100132881604,429839861364815250,1360820732107756464,2090335555964587968,286843294617704856,2913961828389576030,1289276306214622208,1890372496266759384,388561960720159392,2774953490921910204,179242421899711056,2688604819013626560,3688997192994993336,166910926111919424,278181619830040320,2137105450726205220,3051860958195179724,1013386259075502924,2273802029059059576,195200493813986544,2978324240971781646,552182403105138396,1256459749834280256,705641499979196544,3359066397321452346,341220271328205204,898405621915266060,2433669808304978496,640419203724356520,149364780951588444,238038810626798936,2762228029464410688,3601417946791211892,1320655581147628818,2989011336727174488,1343021573108632080,426922542353405130,1622354658867916704,3463152789602802912,368795308990551956,380668667526056646,1508748893557045488,2398652785921711760,437908152642729504,773704054212238980,127961619298554348,1066334472072867600,489702017288588160,1882890497672100232,387582367974557778,274609685781879552,1825227306239059800,4016538397329955632,1328547333547855926,359361762404736352,33173839879253172,1326938270587625520,2390440326257776212,790704288359897940,1011183294655780992,318974833886128596,92099648439868776,2762957607255236160,55277301850748744,2487449931756896340,1325701233281021580,350438112622034672,2038453039325921976,1845688074489039456,2456065770484050864,1489804948993743360,2356405317527951844,2835709035850762992,199221632600580216,1950316383306188976,1196515364955285056,448724286454971330,2095951821845765220,371703559982728992,222020722817378568,1490009663526951552,3033542538936401238,319738230677216208,586218527684204352,2243054134516885140,1255285770960136104,933249638289954816,1346983865323799544,2878556506948020456,886666640117857224,365886609841574928,1824936542096931072,998923491701008260,1675586694504019528,973669054224963456,801125805360991968,3820980666975006576,1405013630560464834,1446015333187256652,1223226246115400280,1651833863553244656,438561071065263384,590768551877739040,164825270552601936,985629651811752816,1507434423271387744,1081132207394502384,1292145183496561632,320939749012090714,1275789625398449472,488547887671980696,948073040438086620,1484931111797032776,462735434003099238,17576718888995972,1581886785984919920,2095284259782892818,2064953221472080324,2860102723719727920,118553363787290832,197586705842361480,4059974011449471678,445113193674488904,1540838038893810176,294453635889983898,3227123186310066000,2858044737771638448,189454455453624972,3329164306546869186,991426859184464766,399920335390829232,2209205541549225240,3176115633536814756,1919669085356598192,1353477654768278016,223109535446779464,396863881942705152,3678683969391868272,24969855142868612,1248478732893664800,928764889775509248,635336517845519694,1384573421825581176,4082228318833184916,2354234233036009460,135441473733503034,2029166737676533728,333325519345283408,1138683392588923632,2449993641915743280,13979006613851136,419365506829201920,1526930122130491344,1304216911372545030,613073823008256900,173134130847944256,414369615822249324,79329500099773704,793286147399106240,2871298526066480356,300999401248184544,1881225283597380600,1444286176948526212,156093705091434960,2497471465158866880,147672200046770472,1842909525544603392,1901742625500984504,1591704129786616890,1467744333800546412,828694769357273808,79740996330654272,1736675380767572388,1773394910010089850,2495434314983113120,838737185441237928,130178118823143012,1429563474306156380,638976519003340200,1031467954527470208,915378073002786744,51290927198615214,227957153150436480,61993297345324268,1008346091260287006,523040330056095360,151581169450672440,1212635955912445440,3445612482983477730,3163615016141646234,1871860082805861504,108963044635604196,295731390779706464,1157415673968349290,1984356253788140232,2365067462042960960,417199754030126370,328299368393939292,157401485054028032,1395975666906849420,1011721574783579160,2988637663535029656,3698334912047971788,46965460847922144,469649449302570520,1012092878143838832,1497438401253421248,2788003700485523232,691568956947064338,521307328524120108,271186366583854960,340443511082749008,716021599263363576,1067430268772123256,389838604925254320,284018805246719712,2111285926808623950,3820582578458287920,1857559147510173588,165814438645332480,663250509193535280,1080516491081045136,1303067534639428160,317418855049859292,85444290024871056,2563300748061815520,1687146000251394816,626540805186928896,1928675178499162786,1302213862704871260,419421689120590272,2679637381837785656,1648015883049934836,1251534734226191700,221725211710081504,93406420420303392,467027028823792140,305653943651314626,29287199930681088,219651615940697280,1830410277223076000,431142667071047352,376287028483686336,478314048590449632,361327370719697616,2555739485591086242,1811781258712206240,3855311669558178720,2010376261449737136,965672055175694152,1303082123987186220,617013264717191520,356105118596503636,515983637096240028,254360880713863440,2119651134324603000,1434793357505180736,271023509878438374,172818488245952780,411500453696440464,55227849678328008,552272550283448720,1792439456321541120,1685796598917704256,232332832378050048,1067980809207959784,929280578722873020,625345482625524992,657251947278813984,1570693358634753870,193762056288004992,2768360013402506424,236369423401728510,4254604005851749980,1125425246351162652,684629923238115264,2787191017332671312,3517663158365901504,3042755039481774336,3029619006795523176,1610307336239350980,352933825195183368,485219737114255528,2380243495713967872,1662713587347048072,588571372455506808,3315316813196228568,680955503815616688,541283030413489782,1129323318784884648,2294085867085402080,1655431645996816600,1068287594890400352,939778772485797090,327963034585783168,235936486849092456,330255374560420896,2071395072418347744,476232574609434780,153207271646443728,1969786863019899540,319304386471925952,149577308341792848,1684516468187869876,377514496525712436,449092868917318764,866285871182195104,136844142405037632,708027753723509112,2484471661989514220,2828900161147113648,1472730551465009364,688768626811861404,801456963520560336,3656176180647571104,39557015257235168,452075401921166880,405509996645293386,72140944636415928,857016989794736496,227901814164393768,1127009341536996492,1427737752206229456,1053098957381175936,3740540951832928672,1004283735251468526,406554627072033792,8664487218633184,151626932612268120,1949468650668925200,275395892137086048,725595720957422016,548749468223058942,553693315273462756,1165497419649349800,2119048535772428568,4427060049957266370,1066317160352001426,35201564982571932,50287423537164080,1508606918927454600,1396089455078041218,542139588708844512,793073393077995336,2913566174790506046,530599758408892340,141541599219337944,2359002030634252800,1085101555276686794,29164666125789222,1166574481871776320,381518250540816420,1864360047724690782,642545052997911750,1626920303451597888,1060341852857108400,985458687038480088,3922539290037752868,1816842267911741184,2466812109120806700,371202558244661454,1471622090869302642,114360124778356524,648804311110121280,1986440117175335556,1516117220749221750,2986263329938121520,830029651857647064,380005435771762416,2215605060184540770,1128432885075854424,1919684472066894312,210985299094910584,82384101059742792,2883413739070589760,321547838280314240,817457844510198684,2789872142834440128,4016615364137054952,816433905951147264,247736461886893152,1376299491068145600,1092485615487460200,1419397275650418648,170037185555206026,539871656342582574,837516536953671996,2118878700679146840,366893118102009288,1884672803016494172,703157680103667712,1493198594426735172,416414249603048862,990365854404519036,695126676147069504,1448609761026803904,148589344462361676,708607501933915854,1675375681903154160,2482877351819703872,379431919684121976,125664201641441034,486415612193184032,3241849601117419776,2526841700898820890,4440379211449747866,1867472777873924880,1693024512682722444,2527561851045625198,64044584278877178,1070160138583845408,2270507933583246336,814383594732791952,46615068477922560,372916751297699840,3830750055573965604,1625911349831563296,11671523518352864,350142146268577920,538589956811657688,262788663178737866,284390824543855830,441352333930927008,2885280029389361472,301915937480019990,388934830503703704,1862961242690203536,490599543962982960,1898450008297449192,1308532977586370942,699229445392536816,3197209635194792448,25172421708770646,167814448528836840,2660142827437937952,2287201419725562368,1305178010594207640,1566100755099152496,1266974307230566272,684169158114649728,697375162204367892,2238899127808270720,3831415515610106976,615257907845628672,198877475341491648,2237349086709525360,1379939463661942368,290051521990890044,1243065458749504860,458774255158247160,2877525004806133052,118070099782269984,335561782279065432,1662234957508419290,2000409266567109888,976513210304747220,865633971460486976,138348256881558792,1853106796471100280,483738667352534064,652438202331336666,1702547091670744296,820391306654287936,25364335012601472,507281633379083520,17766459298567720,177662819806960800,3997373564923596000,3123977380066377472,2882852046916518864,176964540016776336,584625807927466508,1315273999447331352,750195156888476424,3326780212754022192,1563645865509015552,3484316920673249136,914193090002109252,9343829916147408,186874742558741280,2140258960596715530,1150072372237020660,1924380720208354464,435200318663211920,1055668462967598732,991015543901939304,398485863184448416,881753092974392472,358541760442659924,373586643052735662,415092165564555720,201641389506082944,1505833489654399314,3242175895695959334,452710201114117296,248272060144553996,457766103393443796,21568307352853242,1078404737456390600,1055344775098710528,613485768972413304,90459824157366132,2412238236499069440,2421400667659784700,1722120700893436596,1696173628220155350,355217892634605744,17800276240553152,267001521978375180,1919142882341377470,295108538549179752,3362138288986725600,460226114902293012,93769727373489684,625125392312688480,44384191551766968,2219187856309920100,2725152998807306088,1400702643934216704,930026452871582368,855608502803996826,444558525942680574,1586859892963369376,1697688291391381824,781725861177592848,1744119822455237192,934764462020050416,555653680545050136,863128469687120574,346722774925350510,1723242506040183744,259592574901407232,131260505933638860,1352223174309879762,3432570182653853696,1047811177744137972,456463719931022784,92948986619893098,929480847365938680,144950240017005696,1242418583009700720,139914612559234008,2331887618803569600,658378314773141592,85296286542067128,1734821833125749130,3469583985430638592,1445471871926598720,1444151827572636120,411299519416600068,1256687486847361632,1109471097276992688,975483329438325720,1244640611479494636,910726796758751568,26119730303392,522389573565360,10447690862558400,78356927213328000,1828310709568560000,493572559932621180,950102528452057362,394602224468323824,2428185546565239168,3034288675533136500,4032516321858838032,3413242097069655312,323066016225429252,390720104068138416,3051732415967161794,2813652089340828552,819614285807103936,2833705093938111666,7677873753522504,63981669351213600,1151659038168727200,1339650009974697940,150101278398180450,2936033114199839136,2045502442875548976,2993738707966526208,402860890230320916,993707499832130688,3746151331259094468,347831481957022836,887010854868871752,4200794021149470792,115426730365399152,428079322670260008,2076819539834268540,322270939718174304,62691879171298888,848053149302265606,1799800397914377384,1447502621614012596,546462047611170768,814273322824902120,76262282804152392,254205201670727040,778668935752974024,535346625470533200,817288450110118470,469672021215410736,488248666918322688,220730830040508804,184486871890094784,416730279782476104,608693383532972520,1648028998470669408,261048048116320192,2983378145841899520,757947313372578912,1511400521983978296,1194158349818155230,1828326103688863680,468201382654829328,955181812917189888,525180309426498978,733836892352785164,1694264155924965504,190590668549361288,389016798938496762,701593377256182192,2845481298648107328,191936356617147026,2415182706317179548,4374581766020314452,2171684894493302104,137665741879720176,365472301996444428,1863601451887625568,580106952231328512,219554968124950458,346520531054593304,1943090566634821428,546952787164175616,356263054878687268,190070052556544208,475170704367124320,1768377949792761280,4531657528139724684,1941449220302826984,1215417402764677808,21577678103279232,323662163599815840,33921182679702406,1356834707967682560,2513329896403716936,51961281710201646,14116016649719334,423476573752484280,400610275886265888,1870880583304999944,255797816492261124,536080205465414016,918340522330267800,14175719518970922,992291194416272380,2846521950775034952,114303411226856160,1143023560388588400,1849977499375506312,115644524734830960,1019070262144317712,3559659522995525664,1624781797963407072,130314514258534144,1675456904528732160,690783572787346788,3371954002826681792,343503584692713216,201334086800419212,994336493719734628,846432394246174764,1323837755203527144,3375603520842854232,1491511393111223946,109264913946088932,655402638391249408,1569467619123271020,427282524702437184,345062966685153528,69761284876980588,576818074154102544,1220165575102392066,221265601185765852,1966787385434684160,437200515326445552,329479591091606784,262929255981974604,205522230860979880,34016016525270336,680314134476427840,1479254273915745552,2332412191885822704,2402529088720854528,2860587290556795660,1100891846995027110,542114442771836616,291251339262855072,3475883065316657490,650601049356983916,221497468838635968,1745886705750494928,2969014129728498474,997745885510878140,959578981431771384,1254199966814559960,487501525747086092,328041925583221806,747392505033558528,4234184260274677104,157800669303136362,499232969201649552,831908208017443788,1424444706487627776,264992507708382882,1116105767741839770,919038684956304384,830702583979252848,486324934702469940,410963994674607756,478532038576295088,1249223041720051496,538300137571572204,828843958150654050,1280358025024655088,1649369220950973504,576537342228861888,2547951760402870352,616791158540323584,79862913946734336,266207329932497140,1228705469586152910,1775072324766889440,129949557192529308,577548425978038320,3469469021842807008,1480677383784479120,2615622474001051440,637483868141835096,470926402960013172,54546465715609824,121198673002564764,1211975936231317620,1009050210747395484,1999141586940929424,4071862615420279728,3387645912794029068,2647364591932941654,1249038321962886360,862607303595117864,222245552515830876,809497647003177088,11048060137888368,110479622169913920,368262144661605600,442820066224071438,466067862893460096,810185523540705732,737147819292800760,2785940657486949528,688921279955587364,4312745146889187552,741602801755668798,904281086327056728,1926828873743123328,272454158408454372,1797980632489563390,3380347850882951214,2276563031569445472,321003486594872280,1443383756126069184,2026047250105632558,1848595585624995200,650950483046493168,563116659935742810,116406575005655176,308495075256778032,111052536786105408,2498660173990920420,1259055740489725350,4486898055500317008,1324385169883771596,2628912372046459884,1328669611561660932,974777329981649480,1739779857536946336,1242132700128723216,609377824334004832,513729274283358432,266346039027783960,2219530971905663500,3202567507796887872,2816044615278760248,1199246903692897792,1468189136507822064,2804314598549971056,476467847505781248,1328005052035511256,776377363501055856,1279555704048835626,1587336936068644488,1987431365433916416,2325547873996048280,755923826202486858,140640559773302016,1388942161341048916,2819218927147147404,467245795028750298,388643627849937372,3022757638276115040,1680907945514626224,1666427974649528580,2282640482318577480,62689183532757900,501509142107634800,244296465784779996,1696119380863051008,202469191700183232,11591001932252208,289772554282978800,673461569545648272,730732436279324604,3335554606086898848,1054584582535475904,926495955131739624,120314129767959936,581282628664589748,1392346054356111342,594157031340128784,2913486977623254504,2823842686668731838,109595549835921528,693023184657365824,361616776604683176,334333931224431672,1987089100288171788,1135742899755942912,1896871517113320360,668130395527393680,653983022133003816,968557588785060192,3223135845493656576,1489719601933415694,2969288149613695518,1844500549346023248,93044954687812416,1240588848595879680,147756552971002648,234186194140649316,646996025476595232,829849190464736112,225182322060053568,175133581992393552,237614291651021148,574952616376055628,1055810983345258410,1476011050566339024,758057826462665472,1808969866110628074,123008836853103300,552499846528324440,287762532278731488,3637358753582545552,53314903989693126,473906261830111680,790740857558223432,2244480372458541468,836817730113576312,74006736304375744,2120043473217217116,337598014350711612,1046994459500748444,1389072074408449992,449236049125930320,1181954988240305862,2859427223082292842,343650895549124688,2454628681371923600,738104854650120708,796422103949530890,635746225602488352,580452309142769616,1520033882237686440,2420659142605650078,837060716841894000,160808096348265564,284342441526173142,3103628711207673138,2788480575206569656,452596438036551008,981259921860114888,2932702008760076976,540084641974604192,3072612436416219888,3100908976673932512,2072197438706693316,3418497527429195904,238024576670758272,725423660645085808,192935368540750836,2301493322966768640,445581518291658924,1189601385059946006,626106163286278944,313152238115391672,281068480245113088,3161994258921922440,2436260752006912820,1333800383299205856,308477638133916384,470240856567527264,250415737942914414,2973528836475039036,2501979563641594464,2067161495131208880,374352885505426140,598064009990148240,937596992609267040,2173756992499359828,835747551360741762,848627607472942536,208840646609990784,213823809348782208,1876190758399775214,135115324531499232,1027828844650185528,1401733170338437398,3917484002652969936,2509709131426771988,444168291156853824,203840703351672552,26780325433635490,428481707618910720,250915735754708448,1881852664146309240,666270672901086168,612000906121278576,34678490893451424,115594028317813320,147513591434093868,3733718674262059648,646532177916305460,2561950467978778152,976881834245895150,231117430973594784,588838628173765824,423269409583603510,797010896019036528,4319961348528907632,262408768521430916,619489749663708660,48310923131118912,724657985371597440,3590113560488390016,4139564234853423402,62189420434256162,824250029386381416,676881269755754112,359592779358693676,571136916215425764,335046973772017980,651459194465589696,1395485657613793944,1856086405651687104,68812316195060864,1656134921708654652,327839360515239474,1776600209336146768,105164704362653640,876365505771468000,721409186230009422,1941822683611094460,355093935963057288,134513156562978072,1345120800740792280,676803451603188816,479521340635263264,1906854287250629280,1711962568855978092,1998105371041881900,917689345004579904,138846437333355552,1388453305023208160,3575402659090382688,2622056876092048032,1013651555148152832,3192332201521873092,151276499199985104,567282363094996560,1894541067764785260,1566228732446709756,632593891124627250,2398226391075942504,3283576276430036664,774560323203972530,111487042393028082,1858102662596059200,188357698002729828,1858259729870832690,1698548841895741002,2252252042554173384,1808136500777013888,2199026692560213684,2992801927142289248,1706797662472736064,844988717621423904,1740640214301142176,2111133346715928510,1144746597957666768,2376701964399039792,3469457681787292848,2443525965874413792,61793514999238208,2162756046039471120,397128010925506824,631888950957695112,544112605265863392,352481472428150208,1253606620722751390,2949878466863792856,3051839306265846336,2013318070178066652,356771285725911150,324701356141939536,3652861736461563720,111192614359598976,1111917470865072960,1823467791141241490,428383560592310400,352912977146235924,15382175679479182,197769291469515540,878967793597099200,364150445434923648,1237017752571954888,208729656101567304,959700306105752440,1223811808033082796,48843102554790228,4395845166621254280,349994622884602932,1431347694768791424,1184761467321622230,3189002655194220276,67147740439482432,1175076379616627320,1003946230300477284,1295194072788079056,538301079688881740,552440287353022464,560338525045071234,356495749154559814,231753885092810928,3090028025840765760,1008765533118968754,680098068298072656,378010540267076088,761722489008543144,40765498599890100,815303717994018000,70009169891667456,1866896891187778560,637453669483781712,989714853191496456,830267759896508952,2634477570802369152,950339176909482984,2166182556532516296,675237805832398656,2722789314753728352,381330825597302328,574975795072290492,3208085204278650300,232646399275051152,2326446283649973480,2813576530393163408,1979808488378234112,2915712516086984292,136010789008503188,1058369761411437204,6967309205115468,209017690819122240,1161200590637769000,2462635222339862592,508160944671278256,121976157421268136,212498127587799276,386652008661648576,341154397735243932,487359744123362640,1023160928200520946,777724312009048416,1453448772092858112,433564290135489648,460254938258328048,263492878165889418,350890061308969260,649816306626796032,1024055248927506642,914725647513517056,2396745215438352768,1434174099532155900,248446672081252166,3761580071227732512,339820011786679752,753688131753262816,2988417872710255152,210661457853516678,369694564800642176,3786205246119060876,178573131563391684,550240905336303628,1634781652494143580,642569916020955648,383396355503900728,2032075122560789370,216060364403082144,1440391707445183680,152817518945833884,1563476469355142964,706247614926129760,2655155591230688616,268612285151898918,1180656346520357350,528563941079376096,2011412042790339552,1000682057236906104,3304837512346413582,949707233995541220,3112039232406665856,365790135617797686,133670221832143086,659568647641865536,1662702741866328336,2285260970699302290,43891573801190780,1097281258822287000,1627240930665295104,1786421592971853948,920414415998648580,142438365114471264,1878893565096535812,147952830524441352,2127109282901857314,1399196839484215584,3342719011327690176,244658344234847022,432971592214949876,605051709557472576,39117910879092672,97794061888374960,3911733878702486400,3232898802465477444,479141459941128824,181110082512035754,1805882789659160484,985911615418831360,2794867263459262572,3283924852831843374,1127683451742662962,504562404494337420,12116761603913280,96933388377177920,1696321975393634400,1229865448549432608,72862234315661504,450576539811155076,1197829023187498380,1911773552753120320,2702650164518138472,3404462952565339350,2669505637475478736,1268065352999137536,450962122203718488,496596897362430828,872537743226251044,1345272217001239776,1373694679064045056,1243503246543729588,712372816158442992,180723683249132496,892202984243351892,3203446819544717130,140748925642246362,3284118014641340520,811125578722353960,337412676271595682,709173926833863888,701800338002704128,2202768950781251988,869072760196181064,1597135998612674520,699366440064254496,477421239617362656,748359087286559352,1753616488922905808,1253868666277271184,1407891427836268860,2697278061179421990,1442720912294558610,280182559506331212,1143176656748468640,2051566277870041020,800163914863722672,1913800629567786432,1023102458136780048,376342659492095790,2508933272711353800,1092752192088715536,103084616967488064,110243399411199402,122491799359528980,1311499373344174368,173178858904241344,1556159725528026234,420920140706894664,827914467610394208,833506371391215888,996579649849468356,2504392697742910488,744405846462309120,482538978765761016,891622865976878598,3651480835579370160,181171901306188980,1087023776673483360,203186038901482692,29109682263201984,97031594168824320,3737650188842661792,864815299916417892,870314178992339712,653603947086022464,498928245677804832,2411413388033033280,590114365171202124,1740639768469323840,1961826389957015472,1758822728021515212,3502208011807054032,2377706592422799260,1594834108152440064,1064358527529255984,1164872794380725360,4049823388830761952,2852390718737650944,2039059113307945938,1520678409392863656,134854821805874940,192648411156070800,3339062302781081232,448776622223504892,2939201927969927808,371465969326637724,1548208704478063824,852423348284063588,2142175529483864856,1104475729148719488,1284396615146363856,289471403605247226,461903417984741928,184163941481649304,417825675369369774,308708161921893816,207527013180039432,1383503926029783360,881785507553000376,2695936469806954584,2313797210929508304,2013344511217953648,361386213852176370,558844409012994396,856895500251703368,782549601138556224,187498105524048780,869082401723535636,1287465509417966016,603076218711538392,2507212159807578390,4392244686466258974,2831251776974878176,37167996398643792,929193594865705900,2097767582158870908,1915131121107326976,523233688274293144,914617392271742790,62585143448734368,730155061752571840,74562832510451136,2982493124221279680,623619519647500758,335890600769980080,675580677827283984,1081835946572500092,588847240883881428,1289579277032015940,275625176961124432,1693373381875689570,815287811868974952,53549407034915264,163180357308143340,652717044478247880,739432315441012908,4080426845538707424,8209107425489472,492543144521962920,1590327904680907470,981898468529371776,1152037841578781868,548770697108140032,1837852822446574800,1716187678540123536,1038671187360037560,3117452431596954528,431015468157722864,287694448616404224,3266301347761152060,438475398436612968,543560415182786448,806274888339287736,54299432531546304,452492266984008600,3619781854416243054,3517588811506729736,1000257310873146744,3334229387236399554,238248316181902526,3342706368229471176,1752926675106336552,1757646750701921976,2976451389424882272,1408997812069196496,12960912665788808,55546402415537880,185153454947941200,686620561165015048,2083379534871899520,724428524050043040,3103748501133090916,3708937721237721696,694737013888810368,979514791833062308,2238681835251711684,1272811700654608248,221016609361298784,797336603897959968,2963778927032166804,2076595482772144320,131607741626859912,2796177283231414284,181431358018156456,3235729624426108512,139107043726141248,1854748502826362560,615442278892649424,122323798955953056,108946706965290084,168259799985168144,1693158777624790170,1851722313945959040,184833792511301736,1361479761632525688,2714494181152440512,2515136998753885296,670805392613828364,2184259647325685022,3331172119149275808,1143026352649202304,3811636947433151232,1070583852938406120,130662825526365192,602761549314059936,3004241191632595800,3868151055321774768,1870015567911333492,303098960363138064,30699815872415328,460494282347799480,9060110083840374,90600520021577280,2420453496808160808,106921917007995936,1202863869298503720,2982106803112520472,297965110039257888,466760021552916870,288859215894983252,3074056124941880064,370962420777397152,958347229767778630,2045035433310595770,417619845351904752,386953307291818672,2135539176891062910,1504118096186091624,2483389513992568960,2219472181774099980,837255714741571176,829945789372250360,1218336239068837152,122649306135566592,613242652479389680,76609515753230454,1021453758332114880,328394233026284320,1231470605332604700,84816446919299352,1036964489689939308,3090638220815298048,395185919435295984,2606224056824855676,2266223754150687744,2002600793607525144,645469980996701328,424873046589448536,822553062675581232,464662075098077760,1280536758549541458,497344683453739704,4291578264897258048,984882479959764048,3166450677470335332,1359325675773994,54372687887406240,951516106804922400,2480834700437484692,107663431468984392,1345784520400845600,179360948007395420,1431464432869834170,701501880125845260,2957484987445087584,1629115664724953856,160147400441055876,251214336930946224,1884095864270678880,1130942153978710056,1510644802548845832,11380149684622500,284501985511125000,66599520561693448,327186514628232948,901167786702813546,2543321889437231232,313953020647223100,876386555251472496,1977666677315623584,2775305875403715264,104095493665533456,144809166101080224,2534144870081830320,621695854734236208,157128112182752160,2514034411276458240,641886499740881340,558111590154733232,1393914252936975000,828206290056865590,1742603712768561790,480049023206110752,279406754407394892,1129476110219989720,936020609519403690,212137160876848608,336150485752841856,173769955122864474,538360392905516118,1600581698630353296,156045241177510860,53507233186786674,262081792680504624,2948402335399319160,2097328169736770688,440582277148496440,871700266730902824,3263794168575210816,851513680670795736,2487633761923926912,766526019607652832,545944961258922992,1309892976426477600,1218277178323029132,1634975173847119006,1632933389744869680,252248077709050248,11148112701981970,668882756230860600,220565861291098224,294941182219106544,3366159358013558106,2019737676468868734,2618664000328298160,900915150969688368,1216582224396315180,1272611746792760256,448291490840019648,930087971029868544,316295920970945864,149593047799041924,1474435310243805648,3158302474386830496,2594071996118005068,1834359258432149208,351914377041621312,1759561472330824320,1524991320114984576,297050438115222378,2756987158576104000,526385959140375852,499567273707712716,978132015652258824,3338619368312990124,388548543478933664,872382330037274364,1033407879403427172,3884650728069064752,298883716022393712,955956797118215220,520536500205734252,275566365908193780,2498338534014286128,586485370889587088,2771386581371744952,99595144062565776,1975191783456031952,2093239501032224910,677280074542345008,1680962701205521332,361317544131026592,687561483898719402,3840758799272454224,1972429871859398952,1228476474734053680,526005671103651816,246986660086218054,2569348288910615904,1193945109528682944,1934271050599801512,316688085259987626,1079672384419001856,108231281048520972,1443075418199749680,837009166342508478,2567474837245410264,2361459647784907296,226792205631126060,259574285173956816,2055916622313358224,3839555862399914100,1746839191128073308,2923089876669498912,353165091045240276,85829557595351160,1201606927885901460,1051947787451915170,286957290154635936,1817855699462458416,156869374660072884,522894932616458520,938053452062665260,305510054589872128,1909426971264416400,1827407995786451052,234173307999453088,1003594190095585440,666239677583357976,2552171528160126752,890276758545201480,274481475581356632,1173550847562401650,2712228312923378016,756386872095197568,267847926724684452,1515886549385057550,1069787986885892124,1107870112851624496,2077358573695720320,173415742849180260,1095244544805514422,273736258663787952,364700245522182096,931664660260884466,1634899786735490160,1289559272900666520,207681001294737960,190293519555010458,1191045438363058146,912720599110989344,45899779532293236,4130957098479684780,144598845447086564,1326206433795594264,607559286560991552,17385543042326416,1216981243704572640,1628907783167491848,2234616073278546552,722626737201121104,2706732345210928398,2488981584652055900,1381677908467346856,176432488712003652,380232419093099946,1155386303814143232,2651962667525268300,1100317527003108104,1447250038221687300,808849844447001648,28958698653014592,2027097750541333680,386322957360893190,699813168476946096,1462984966428576768,2876296978303962768,492645492423517836,1595910411496554540,1263390783900127008,1495914327577161890,1929629160238231560,2764279880215836048,120304407295182496,298937920012837182,1978337022329137464,3432078472860451488,1375790505464728320,484513591098459660,3736064708504087364,681546484677841440,718756455337728336,161612275623371212,2143461382740854946,101996072692643808,48808847545712496,650781114455207520,2804711646947312142,421285954212826112,148635897445832904,1486350959648987160,3066263402506632342,1463047951195298016,434556666106594128,1334632648408381344,1302676889159900304,655457147352526464,2131247988249184704,620029427250585480,223251602058987810,2679004884783076080,2252936835628025760,491474152328347584,2789969202928229994,1419324055170409584,1934594045561260116,427177795972759068,2942459136245745732,1324705540936872528,387091790313305952,2509279625686059954,72255977344886958,1545500044341737736,803101055164604448,6141566224447344,13647852700441280,545911220482636800,361256958784426896,2107086699182359818,3509448337740114630,2986381361555034624,1846235509679579344,599226508224563652,3478751658629570106,2723839284840532056,192689049988685952,1204300240090845300,2811660089402314304,22504157858391552,112520199919438080,281299027488628800,913126366319254110,200605503577324608,334340760004478080,2998054662511461876,2567177639597820768,1192282446507249984,1446042320465392332,1828803641688582372,340160543417019096,2645679372813412320,267665103285645888,672722812141131400,1237125721321112658,786765097191881016,570596379474556300,275650110569818656,1499547251655135504,711356215149801828,2186895753093290976,931795538815875174,2950143341344242912,803783693644173504,1367609616569835360,613567713446614566,270092391177631428,2700910053364587120,1734278272244114480,2293195988834256840,643880212472086974,1710192026397864768,524640722254917024,924947303904281988,513235019096995356,694663782418730412,2781055447646853456,481615360467590184,1505306471506584390,1703203231470336,8515972900261440,681274374169996800,2099831683697442684,980033561064989056,771276833948516544,1035303261149287314,1324062450154203168,2804809785647722944,4460764858785881244,3093928975974292834,2442629335471446312,407940588174104496,649423718581836352,310186717090365258,277000829841861864,421747652747112384,1024025040263234040,375522204157181424,2086224019288869600,799185413124484320,280947238331042736,869834739875335572,1009866164249478636,1427285273861598912,171800167905140148,355528163499098070,1256979257552997396,443700029737485480,3472599517771304952,347583366438770046,4198848596848273536,454410136329190992,30207054087188676,302069046001832220,19095710498232780,152764929198361920,2291462625300787200,616766171396862036,373284799697453640,735125829166139544,2665927955967999696,862078096831856976,1192946619233454208,4273031787889350420,2107663860085168248,1343201798233546864,2442633043477651332,4323896571971416896,2617105311511326108,2802685459009765770,3946705882130050704,3359262648006303392,1122728603975399232,1466945598429708456,156935965924896406,194693505638301576,147492904155859836,471962159805968128,1856716595735384898,456867559471409856,348045563998412920,1556940919761403728,2650581466616346372,811784090431544128,141593484913730352,2359880036086503600,1859534308084825386,301583794002743880,101711467261106208,42624495916492488,710404853847308400,3343287195888506496,1172781592956853264,1539636134946934806,1031911301425174170,522604504059091704,554644307412363672,2618222635452190986,803952672979722340,74966842045345536,416480472347331600,2983814420281204554,613631248106500608,178913964481695864,474810756757021040,1344613465045933542,2353712403651093540,778930302875947744,443100346484177604,3777824562086297556,372715461118557744,2156241751499190888,251843364390029544,1352321428550612392,1489761605107958112,1931980829832042192,705446487334033720,1224354202599393684,560857715026681152,1797204764840412492,1478260671035760576,2490838824224064204,842396519433799032,3611227695565851504,7573670745250320,106030895983257840,1211776022354054400,85046735390857056,744155473332467280,301811040358593780,306796669034776362,19948027882214272,199479354137030880,1472232161845835802,395317964544787702,3550132696700494944,853854013118703936,1292752540694886760,472903862173995780,1434183062260004040,1446800647186425840,430749048252288168,296863154121112992,1204154189679145540,1209035917057124016,156391342714597056,1563906264550983040,3607444245731070336,2992724487800103024,1428187608244424646,497670799062947292,483121466198106264,2875189921860004704,186836549169161328,1093384936571722542,813160156874177328,705345967763362464,17672490086017998,1590516899021898540,263371757748395004,381844812207930120,2161961568459492096,588115042904821050,3652324573589709312,107806596767577224,264299379759001818,377568843242606460,1867519599580627916,646157835914126400,111593870353074294,1020682943182473192,920969605921246224,626298945391503216,743685981092673048,710893671569838468,2917046926799981568,1100406594751157056,2611062929734002576,442725966695313972,625954761485027616,81547111106895456,314229844063261146,809231814892432704,1731236567663938680,2275359613594755840,356762125790574174,2774804266088218980,4098764377669009752,172653871150967408,863265549407879640,1532835602298547560,233458954660791264,412157643324366120,2584804605148553424,1789905898488100544,465091590532292352,1603148909029330320,1194419841506697864,2922544206160610724,1080313353613181196,92658670978255888,2126945614509365130,977367200815602768,438650646276237312,2261948321437078464,2092829885213499504,660676625372530500,296285968595905344,2918623894174142928,353766929637248842,58872524956399836,1766168115540649920,3064268607317132740,3313511474097553236,1214544669114123522,694700662117867716,1555074648520355520,722280163555666548,59021990682262952,1475543436836728800,445312267470587220,1331704925365121244,2578875690030651792,2022580720985142528,1151008782242291640,2629502415875405424,1680160423453767936,883705171555860480,1759979903032142160,3517792741739337516,2003624268706285190,4493963416427208108,4348175198615334864,2248144308966086454,1843973669489712552,44369327206662816,3549531188439166720,1283897448231538896,2165820541586938752,806817920562210320,62984551917203280,125968574427663240,1802284205549272676,484142571868712400,1524223260485575584,3617757666946307178,87487705973713824,765514228303092240,274203210346462848,3716243274748247982,120430936276892172,1617046066345111936,101761982179969536,1526423390405210880,385554601184351468,1273588790554349676,2130004943304268752,1811825386645776080,116130042525827466,1432397418729502464,265025353056004236,1911740777555960430,1264071739230883272,1076563782887904416,173811799140785520,2433355193425441740,3289110774617196452,756908770989842784,2334655556398522584,1534918189802213704,329946999316693218,1465917734595977280,3412850010567231680,2319424657513649676,359655839708421150,654814266231591312,892820845660336920,1695207946909192452,640357944233269660,1173609309672213408,3170482590077340384,120097310778899004,1200968256196991160,2991254302861897104,1904928089899377008,2278327405995153054,79168445483251410,527787514925439600,937103156348593080,3030258644819386344,3248086916713800276,509680221594749760,34700765548624896,1561528209821207040,1392164696793641364,2846495477692483704,313580358572898752,519332383756283856,740859445196492490,3358144760622659392,1442236689314828580,759073433078748540,288470704439822458,379790234323541100,873100909339590888,1621757064566472200,372604045226772384,465753221311705920,743865419661085260,2914719180075974736,349140863000441226,4370428397261870784,1736712656072570880,1402930474779380544,503345801775351306,1399523415789086016,986123810506630992,3691885953490993248,212550308387178804,182544378194212848,107531202991711464,220249085120438616,1166084832611455470,2298752302808273984,2226237011328494784,2224764725980124880,552529864486662860,2321712890465529780,300040570294464960,996673144904524712,3415719903039372852,742487081081706288,823799383322799312,223201432718293488,342484881010769628,559097903325960672,593858731451389848,3337438275851018514,259534041294502082,726201754259345280,3254716669085870112,183367175189623524,661897514804200524,101351456815417776,58538223662761280,1053684033328903320,1182720801297453684,560721604360729416,1465532304390871056,472717349610876918,657432133605785178,688767307411073508,584673486206406432,2094668997094100550,911305370223274620,639923184531043584,1554644526154752128,881334644891578524,2397933352276631784,980855419166286632,2774912712897490032,1832237725489012728,218304400074301998,226812808884128808,793991483897656536,711589770926882650,1264361331276720936,1453585267462817664,292466182820665728,460616133719919036,1797964829491364856,1969368107936588480,3741838016088703284,603216115937556336,49485070137226086,54983209485757320,342917986383225792,3919048350561639520,1173748060531349586,2439750856802898096,59560814566472072,568639971732601116,4022091118188217926,924683754577266608,463829423785816608,157918627207098648,460259456408418828,266274584049121824,1269092872036649760,503436169709654844,1691204761289771670,1887551760977418480,808203248979359184,1139680133659809900,2779229557349529858,929325288595464816,278720639298659448,3135926410209122304,828561239635555932,136390434635226264,1449211255246082112,352318196249341086,691201123654851072,451235443584248928,1518026403758261712,26087916113683530,1043512943819062800,838750084945380960,187462789354996224,1405965950818300080,179511570081513646,585545967665436816,423834367832431740,1624886266731177828,2227147293710510304,1592975813571435096,267656933108503928,518156245770714270,1799055796847368752,737258787648122496,1363406243211194688,302563375635475152,1891014511866989300,1383557752962795780,1843280553861625200,906341710232705390,1466321460335098560,3002150956158064200,1979457270703561208,324049583940674130,708032783808320832,1785627811870811920,396288766852566768,958431343537905228,190327794333541068,1803594780619726656,7061519809106892,188306550340346080,2118441448387099800,3158056396882868688,15361689826002432,38404093720418820,1536158521168999200,1676599363035062680,2442002532435547536,2421217835897462220,671910120649229428,710479856770884288,142149789609803208,473831032764873460,1623237142464830802,1580316066234544320,625491334081555296,369622762477412004,1037980088912420262,151901201828203488,118319230320406416,1352215254200384160,1693523473874823906,379597334143401144,582195430290607656,2037511190053413750,69477785165230332,582257477684643084,2632725873967639824,1529482857484606128,2551210227370559376,554711101072489152,2081919505063645944,2794654018627912368,1213104744385228368,114771670420522464,573856467805774080,866580090987489032,1310054824382828256,271106756971524144,830868933792815760,148997818650143352,1221608176697472690,3083883607494888744,2001197566062521760,4479850035070397298,1886673242291898984,421511458787449344,944364207534350328,431845648632946332,1919307798800362080,2631601303365598524,2524487615567000160,202288152716196564,182633615702292384,608776766131941120,106719278437594944,1333986711847059600,1482920546258049210,874628772219545112,3195065875804640544,351934057683908436,343688352287792712,3227282391117164112,488703171426304008,1569373299223398630,1214801085109738536,2439674713629626312,3370491559619834496,618754543185378012,180084206879280352,1199398895633751192,493664768079726276,1293279999868197666,918026815176669636,507654346039313544,63447890760958344,1204809825701889162,337458193513024896,3338416113031526976,1025541193229602260,97328506751893032,4379769225363316680,2887973016937484256,846136540631827584,338843510233244592,513137923057293552,1267440916704714792,814158227797034112,330269900048380560,319897455616640772,195439684236439944,3812875608449312064,2347379080628850738,736934867241852510,309588574542838272,123196121471819232,1385952152593872420,343905045062800086,1146346673900727960,1585637193563404960,1510479958419990936,1589343182898109146,1321118821632413320,1115127406549559520,2749408014403803984,2118803715503017590,699266398690568232,1314536211294755328,565938488772577128,2288231815655539530,531098656384186368,458119707692859060,228585043751581026,2031861015428940960,333560265652184220,2594349930166394400,1011824531362655130,21455681270523772,429112358336387520,143379882869165424,3028968344066035756,1613786565895228920,897307103831364192,964436537711102464,1226814301624309992,340353570047357568,350347820289746928,1500825079875230784,1493878140621768798,2374080536683024470,1703780097460857612,2159295744931330560,2515038904701268032,562595547845319696,2838085707057749904,452088395920286928,10799299333838988,17998780440189780,539961861877057200,1789939935055952208,3845262963698938320,2717618284523969658,16504247517794688,495126012892209120,297784808505794236,3903258906936889344,1123549728265004436,1691420351707697072,3314400770904466848,1111879027127488704,1166539783022490384,2694796557649238532,2769794849291573328,2296322062919310320,793707881061101076,381403080193138344,931755874139803698,205816977833323296,84318694954048224,1967430727867337040,924545968887445110,394545339002916240,2597455502554545612,1150947024005774880,2664981095716154736,1313392754502403776,1964284996539929616,1822420131568965720,172571969483666720,345142990030839360,4037335161447070296,1928625853367590016,2538677353651032816,852675244478745120,203948447779104128,112863579727873608,1128632725727852760,258866895768453606,259080527489679900,726280845724238112,1025527306201168624,1966951634427371592,615297257825295600,147512906880396608,1422661831048065996,738586155937380792,189773960269054876,792779725615449648,921519719325824796,310729159773777222,313854137537605632,348725891302594560,1938401392431010672,2394200395445478942,2505863061415429056,345853628315966464,455909649766979748,277802518061430012,1655098839534172080,1794305340093685860,489053639680691760,997971996450494142,971983369034208864,395622976649105040,2617363285420348134,2842361498518001670,342724474883205504,141568269504201976,1244513820065494644,145014692631585768,1797229093895754592,1224319645782094560,4022743511909187648,1399172570341396176,1281451381054375872,201151163487198984,29596690757697456,246638458769014800,2466378288762984000,1287259319582967912,2300900018750152416,2992787719880654640,1905256791189268608,1139879124510769368,593574300637180764,3261090692235888050,930669385156256952,149768873137552032,3494598254407491140,4398542823069810486,383725132258317816,1003509135369611868,2056092949067385888,424480586082152844,2175257942652774672,3738620293922777184,301864324308864768,65332582389369232,571658681562138240,1265087786573223024,160431297773335504,928552852806295806,30967656878743296,1548379043978598400,377998509608092944,2223100204505525070,886415909193354208,2145484518633727920,575993000412620544,756225551316185620,1949806335790262796,1985184446751202200,1002431626567977870,1696227395953696920,2731880495729179872,400144491101231828,2993467031858825676,4372787241026425278,2487919934758177612,103327742718929664,16281679239146994,325632809024500360,635499571654615320,540583325086769856,1609239928933115600,91311346335010284,304370435419742160,83224358092477536,693534684600557400,1159127454201627636,3252071828781342432,555025412779392780,984284737332201864,371864928483053072,1287962577623781828,2033454865738132704,2419463570780790180,89230378971801492,1784603449058886720,2363323660903162900,1565517425183014842,940494228687074448,1049730028338786336,4474068451330208976,468226072152787014,896553010061859930,2044878841852863408,839254469439847560,1743096155905457388,2179014862739022990,2843620446485549376,104558118614141632,22470762816889338,224707121551347540,1966404610493908992,2283695775029507280,580985655939172098,435675429321604914,903248725730230656,94054766120691768,940545566968473620,2058098393030221656,2998181347722925056,1683935480777106912,1220106811241506440,339048137473423728,1453060245709688640,3067254427731541488,2031239733302704320,420508220918157456,702982453459446888,3663336799059696,256433017241467920,1465328340422179200,645011322023406768,334935529942352136,695190557308478256,1106464300331098212,398949828768559760,1190436183801014544,949289926083178620,1950869714914765616,3936952890450604728,2604741090830909184,1533461677224115254,1326674676615929172,1972006281398896920,1326125069042360988,2090865682159067460,1435972587332601024,882391133929826916,1319750691546387240,3572631203852326356,2805981721818599148,1219186257450281568,1927001314565829216,2038314940450312860,521237150609758968,1954832994901024992,1769860005288100736,3802560983344356408,668799622100513952,228268685676253152,2253019840273611648,1574778984413990850,443945378726194032,4313643362258826024,581182162323693744,809224181489883460,308366281766867436,3524178933965698560,403170599842261504,148308912609941520,593234455085144640,2789422998014733480,293531151903054912,3270062885657582112,1184845649455877794,767551163027228448,3345052804454253984,896678426051458660,2340934138647939312,3399514278662463840,1979489628947766656,473386977111386304,2085177652739197254,947691577405896576,1102696973482631016,149124892819730124,245385363832299286,2264510872401538680,188241543248031504,2151327751217182560,563957033229177210,1516619042958312672,1159669920730074192,1592059515559467000,3349722488200214742,283248112316541756,2319350127025571640,935966268924899112,592625442518446340,1663185195673917984,347307474044220132,1415186097961200648,1722219019414978128,303768564478273104,145429677806415872,1272507294629880540,1268834102789745672,341547330197509568,828333722586665136,629707125395279268,797833856940373736,987878526924132456,1312400301038394408,1864816053317189220,228147340510064466,2525655348698071104,915696312951090660,102130353706510848,52216839951465090,626600939474795280,263530202356507968,1317648625180506360,2733663899014663104,1211419568304323928,182208230506233720,1457663227139434080,856498929800729652,3416775695893764864,2424368947346174016,1734755709253696470,1280738631635770986,802664538559845984,872845879206314700,735319775124674262,1801156027496737008,1151721208029276,69103151459360640,921373742843620800,605343486888667824,63948732359635320,255794485546136240,2228768979040041696,2280204031622086800,2445264710073156580,4429102832623019232,2936951600527554162,776703997170610352,1323633009324998016,1642616798286619296,840748008894550592,202298185487956752,38962789628941332,445288272951115520,395028162821279106,192447088961545854,706570451388827720,3715109548478199648,506019693449262528,529403740617668552,438465939143442300,1383626303925253344,110548753675656174,736029507713248056,357923987887079712,55757324561886140,557572333734833700,459243028633512048,591100960331355552,2387105813744887680,1363657051495277910,226495689586930130,1850136847598545968,568969733074815120,1688405091405794784,219729261050862144,1769885448696985104,1864249084804004832,318400999538245092,732265985956792752,415175417171834528,1354580807228179848,9250568074260396,138758303607555060,2775161733121346400,619485232359335760,1909333555705830464,772125319277363088,3236175192812028552,473522337740069780,1340686163890845234,1403311576030813476,352762859578935368,263375009071688472,798133383267543180,659864530182462432,298458141573312864,3387050987834761380,1686806501148653030,1863809964076772040,906530647171850064,1860356837162261312,1412594396107528230,345664948319731710,1529532891904091584,1646014910071813776,683669706208802712,695888712658918460,1174520279215091304,1656507243029326944,280398533858555368,401726385531814068,145861738061075712,648273452927850880,721748664967017204,607962752589472128,234229979383774704,260255160058477440,713387343103833090,18870585995914776,1698350328580789440,2320070368457213352,1097726311163199966,158217762655663218,409034436126892020,2225619114164642616,893613954682485720,1147452742581085512,2208165709492623840,1435484589618058848,1469986264500623370,878757154109586380,785682759378716496,1710368574312678912,2199905350225990432,1745111909143730610,2462776736536002480,424521755742081044,732918192493236156,442607160910795152,3401365148003488512,501622127978050944,60436578607170480,679910606607761100,1276730050295617440,317483599537089720,87092204594555442,2322455742779616480,402532924569917820,73429445347913952,979057998798075360,2683339557073004016,471394854200306688,852049232773439184,518838037671591408,296889295236800796,3278674051311453900,365813914369856208,986300305663176426,861199061280166944,1480661695123490880,1406731822619182276,73790335258323552,368951215929827040,1266841479324637284,444066919615928448,1319707249613978976,995655957020259320,4419249072028211448,818861724284463864,748495610341384672,1306578821770995102,3190729478626807272,267686723178357648,4015296014131766340,3225020028548361288,744548956622143232,444241755770231664,807254546177001564,345248031924799896,2711735574172874928,37557585405209952,938938534882520700,377619992278024482,551209743052277232,2045012170250844000,279230753816074350,175134656672915418,585896131365599348,336912016514317608,1105892243906118264,742963048861981992,1071498400217147664,639924168259140732,1898526465478353582,436636201161040848,365736727507141152,828527613353761152,142021945428231612,2100330537993186180,800214959824642176,236041300833456,16522873018043280,141624471804225600,1180202652549360000,2880898225855094016,301843012709659014,35995237605751392,119983997227791360,898639815728126412,3488923734751211106,2417733539357274030,3013577397044904996,2088033554322013824,479645194185507348,591681977435188684,916145530347206160,320505062209911216,1807176302613014484,69394821062546448,693947502890671680,938696961307697568,450114811622234766,857743619263104924,1717783138645922304,881866910076721632,3953202587878380210,1175858997274957644,1676403433568713872,1524179075735572992,2025213346369132770,99896975981946504,1997937577871925120,1977257226942615184,2213089186093052910,1277145982629062532,2310248106496952208,133315839197991120,333045285287496948,165058506138357414,601674286017989376,12062318342357556,160830761353363920,2814535712074577400,101683160858147520,1423562942474068480,301056099771866904,1672532362429801200,1034261816558878512,4025081117443551912,471905212040315064,874393676221412104,743137035395900256,2861550275102289216,612755325380609968,2127162506080679184,317424292161186720,434890952335611340,1848671441358014070,788058728035402824,3290049891930079908,1597256862336165888,2482169702478581790,927865404149141172,1250319690009659448,3113241393187592448,2738709805513969266,412138005934235562,242071190262031824,210270515061285616,922825696851260928,25278245764363788,1516693514407653120,138087620990861100,1104700079819403600,1307745214122582450,576456944895278100,611339943016539648,197629941563339054,1693969599715070040,323091366698238840,230686570981420224,2760441723415243656,334675730287012620,338629339453490696,965188560342811320,1290807290773610226,2419252558796960224,47709615305137728,1669835293407820560,1926705537243110360,1765863040335052590,31490427118998012,2204328293684538560,1339584505135603452,1465085211990565788,766654426710106512,1998293615598384792,2312101067439612288,302814462744167468,27959870869663368,2516386626969996960,1183337915485754520,3665565967945646160,490156743333503232,1584493152884709540,168813874656510264,752213902798632312,1141351099107689556,1217237924562032064,171722024285315712,429304779104402240,585667656249895296,3853854236569621860,2254812074805196192,1591930711244122650,551126185962878592,3033105651553884552,2589778696999297608,1197074147191473276,3465355342645828688,4052633575342411764,13571148311935470,189995960854851620,814267911868095600,1712904375446161920,282082054500659272,1231097839730732556,310456322763185376,34811485881270056,2784917255317001280,2405105375443192620,1240101360231163856,801052565636808192,5102733305092464,89297782834304520,1020545522133350400,2205147260136060096,1281697286003109250,126602860141704780,132995879393216868,329922458099776128,299117552872057956,2946525251608219860,1642878682544644768,321181484073202152,282285565987210992,1439881157080178582,56908070634281976,414388080211227408,1334416758775833446,2031314926967113710,375047347082482368,375191565824013252,1253044642276509480,18050202493683750,60167313006775000,406636202343613824,132503256860889024,165628994226306160,1093749173228030088,374756951496692952,373745974054285458,983178049603604352,2747371408248827232,78842516890733832,576826127324231508,1920358316028087450,1021907003300539584,2437731098432929728,376777090082636064,1151557686701105706,1117948090530477888,1768905771256260000,2688747881328206940,3849324483338890272,1869398851770338256,578032793166230880,156046534787399268,543936781496256606,939285472539877452,87265339277172096,2617959204450976320,2179181058581668512,659549262273184080,2552656405428419328,763089767485043696,2446204864223718468,76946916261975912,538923196852539136,1167476523638281020,2228863338930599910,2288354169580786640,613177236169695648,532929654757171116,987695241655284420,438419284237234476,2768311003041490752,682786063116990516,551860187682687264,759277952632413312,2370807191542995744,2317409482966305750,134771717618422326,695413748872756672,477038853793982688,811035263474931978,203427415417855170,205535777987444256,342559539544128720,1702278431175708272,1533976898939300592,339648258801467160,66076519448898024,482284151290386774,753220043170286538,456129336956370048,780636269175356628,510521982357095550,126225582010522656,631127771205324480,726231638591851392,149872233894823408,2248083040823545680,1727505690364421352,1403565061135662456,1606753919646196794,1426375268338024290,2116435457167664040,136886815376270280,2190188651787917280,950903701580888280,754503326130229248,1907528114593780476,2025284123702551950,1501854809720713272,12334406213710320,154180054236076000,1850160377009898000,752334185812119012,671851153190195696,1077745920279666912,739828865800143216,1274354947133401002,495683882091208368,956831350092466944,284148982001051486,1365943097056547880,414853224837251904,1188213607405786112,1941062726922849744,352651477952581986,185576906107495924,265109842538206080,151096155189978390,43841290091800856,548016084498315600,480157495411813560,1380943992066732222,722009960848354794,188654041952355456,2200963699523554560,1009629739734764652,3538623099114854304,1269833649808013952,1396668164293528704,1966679664134814576,1666794374010715656,2501913492607147740,839711149370755920,1196148244353778760,490370555538517770,2422233222244267824,296443248885361856,370554059624486040,205540669744861086,221626958680952864,108134811269842992,81348122674607508,2440443719285324280,404436744941975424,1218428583731996868,1684285222979946846,2030607890550487980,550937621742505776,112152838033340768,1093753680125807592,1506971438979767124,611263069384322304,112628642150410416,281571622270315740,2210005667862336190,157149395775193536,357465381997136760,1719443590631787024,895818133403733672,3451206113277906816,2151452109526792620,302900282920353732,231996663899771424,2029971012119842960,1999777164189591600,999099083660839884,3963910114390445648,454880482254052392,390376743168883296,487970989469388460,2657907768568246278,594007637318007336,3290228851100056600,400632685374164004,3158429325597756,189505787582643840,2210901191186839200,1108950281863669476,505260320101217604,1026296880318167292,1683917611139088384,419559399859186944,391157962027059168,477893021588024328,1952382121897563412,867319841544731010,782109972129128940,2873734854267998252,210632022320198688,53155043444529588,31547799507183726,315478061952805440,1083344807696638536,285759429266075364,1905063288505300080,1313148238211077020,1136520253969251120,1051174084827370944,895423166878120650,1954181052597432736,583336865658817800,3749984602134100830,166617428580261724,664647522016998576,646424036824067808,1044421997943245382,962759035489261968,104584376847015024,366673138428123648,1833366212811313920,666957140305351632,2669530218547646752,2358163667299042176,1843860563143874340,375362713683872756,376796159971067688,535839429600612936,537499341356198250,2624810724113325426,2082120737726630700,985130863835875488,425593300973959206,3767674988138653584,744994278797889536,3262175308622681028,872108822607522654,1720981794850597496,1834057193773601088,425355097792826160,1402808574956166216,41777456713877412,69629120424709680,1766542918931614692,925597765679514708,1023255136098664368,1953352977748969664,290456890283662200,3640685449709479410,315888700978340588,2707618530812584320,100839463970910432,882345673264105820,2083780194422236128,732695176417026900,93370351350754816,2334259782808995600,1515741559840332414,1288854591405777368,1705925282414539620,823555101306517728,353028561748476624,176736661377660168,801984363524285832,866078969621513650,1160590292213030910,1605632443543667520,633546641285892552,558830324091890160,117632165645382036,1057756336660670448,2365947913955233392,1030048810810891920,1437653365620992480,1500917885401096800,2269661976890798292,87066778185351800,1523669398336648500,1412837233414726656,2127971212651825472,639516008351553960,98738228510477718,487364998873599664,2614429197927514044,1643406971176144062,695302071303912952,476398888575509976,263818971876399456,828563628243403260,1523602778805495744,2470952117663411904,797131155457942704,3471130880483300946,3210014019214851714,532289565283165728,1322727149269993152,153344672249787678,133526023033602488,1001445769587035520,1690093655456188440,3420465331069121796,300356626628463102,17133976903774320,34267974915614080,2056079769644692800,1279964595879227772,266352968190759008,817029038370035700,133982827448289354,2378443430503181272,2783354618411169768,3332270839800289464,520299048214354692,101361700060517010,40688731667467008,135629195611018880,712473542125237224,310857169508222790,121686039771285748,1951227955170008064,1007489628877563216,179061300148834858,2033667762127478904,3240715876849436640,303908193083185704,58345831818753786,129657495833400720,741280446091977320,964995069258985392,2597485556410983216,986646828334708736,2798914106488905504,822786525469588530,1018305214490929918,3637232099259139968,277383377789431776,3698447803436957920,122743537090566966,2046280498023554784,1914511253543607824,1643844008731942710,348202205301232524,1445400455797938552,1270659529253640288,1058532262387154208,1056424063417019528,140867262035944560,2860164670584283776,85634465563524944,1425220604624736552,439391648661316596,127661866872500576,276536902253806368,795486694172717250,1059893733892647080,84043551606210072,840436211883385080,801282524219199576,18194802490212912,60649392575019840,638698296512485044,128815544932752144,144032701868123904,3081653767417189552,2813964121938328128,176195938831274448,391546870566706560,2745557191892597472,452994814693168092,1784603888550037646,295146734874237360,1475734984694152200,418671529561764906,372631861074210408,2904067708355179872,778373257226157648,297186448860251832,943212382321314300,1077961477825153360,467137382667239016,284826515099908110,208798539842427858,1175647619430432504,3673996754879503872,736009716539752336,1259871277708399302,1393866197076871056,3928549642708704736,820351203930409884,607783925298124584,12857562222642808,642878733365589600,1142560613358691632,2848843787296455600,424454849239116192,318911746294554732,503341707755358976,903812120827321398,291036979446349776,2460354041813292000,700617779128443204,1512118746374184,15121202764432960,151212181256011200,1279982039309295690,357826753064239860,770497914153034848,2778339450008230704,129964581134687442,1797068782773557856,3463431348502868400,4024297748952565236,3296238922099369764,833152689093655368,247806036833919576,2933549910367040736,777222324169211088,271150349815877730,403762852271496888,222285640298786064,2963811749615604160,204248998705812942,337544408991774528,843861947212799040,656121781803766752,560307762516511368,2939708994456881664,348194936267385336,722226886385211702,2849776807554236644,634324034524937328,1842529339785855024,93871386209432232,2816144784905739120,385692991627289904,2569325696634658392,563106491112425256,630239182033186980,904180532032190208,13432325349316368,201485114728575660,1029193727460594036,1935598451523429168,300641193762200784,17674882707817764,147290863593545100,2651238693798037200,1336136472541781760,453076051582727484,209673423814055754,1497669115823438800,3464190602982523260,3584166415535276208,479471790343552684,2057187134807793324,3068608920826939560,382976047953189348,658198132800323556,2032940377216430976,807444283792446840,109350804876519276,2551521964129806360,721740197558720340,886568817542360832,1296160307955766512,2238169695408776304,393569119247440032,467543804330185452,1396203059555222256,2204531364697594146,898138065182085552,979728289436918976,3181648011253489008,3334296985271288442,2361007286873321328,982495139744910240,455812079433642624,1950422464558652952,2572008075105178140,357244424072723040,71679799105081678,866753588994534504,665768048538809664,328173412030976248,421594829767533222,810183089086634736,200038963298447872,4500882758014548480,4499553388568921118,498467197327567282,4352663405563922304,2011461767083086264,351732987930703384,115528220537882922,165040542755712360,900285340023526752,807886544574186,6924751447549320,23082537040516800,1038715620667956000,1077181030838433276,346135263208173342,3076762238486669760,1725393130553906280,1350098828963541864,1997276738884994688,2460244080853255920,2516031615222258936,577074628554753492,1692780063689134296,923643586255110048,1542933631751531520,510474083997835224,1402634115674679832,33932105608783536,508982329081777320,261606822739259624,769411189001815470,268905631301830908,2304908821487430240,340554391215596298,1214149515603801768,184220626800130048,2302761278966563200,625563352626265692,84647344690465456,846474723024863040,2081106005778062208,623534945838920944,350432549068967244,167819213576594448,1599802315148921292,2216957326901379216,1352308832140320150,1223272983933497640,267357772538800272,1909701330607366200,636704273281609236,547848364398629184,977119872319037052,2049214116445227072,60751433280078690,536802280090504020,659655113902562304,1862358998065552944,1636618139476156980,1906054515478429232,666436194449127180,441638335615174584,207553652050758112,674055743364789264,995160137538218784,487253147037427396,1113200568935732826,1885712723350242624,567473008912388976,3119366893446539022,3639286378934331936,333244086106376564,2380318803167589600,777364610028484698,542213448797937420,3228156817721808192,135313224572478816,338283622788201240,2290806515828663784,2217580102076255364,1001556482340085824,1181149844685955158,934146631192793070,3309871076780098608,1058347601334992232,1316888139315352410,132879796407377030,328438143214003296,1416478388463601920,1660239431757117950,2874446433805013856,1156368554917159968,2987097960411379108,2392206323824377468,785381951457589050,210608663870919996,1211047909996221648,17658096035188092,1236068877346200520,530483161768038336,1211672772702642720,84085055841937404,840852037744905240,2005163555257522440,17535667999185536,526070971806786720,1129766820203170314,1058027539212030944,1008537652176030900,1761480634404128448,3618903080458547568,174548929847358816,775774417371240960,3949452146222807418,2706550904649666396,1095206205237658704,1193984489637413728,984136776473795472,3769356784145805594,746029973551315552,2551134003330687264,1287053365977312894,3866740440532885944,1473412072049535360,1783040440016229840,3647126239805848736,113949023885726484,208588497587915364,585236027779997352,900269530492934556,1998400893174793008,494027825810975232,2629771837358464152,2287097424486949032,2792461642520895198,608375262613171104,67552068115142880,540417571250451040,1051777249043856804,8669762471163024,390140056808714520,1300469346583129800,333059185109397504,1646036335927597720,2325457944160119168,2028296180297042550,437778995790400352,422901957170451312,1879567906242209760,1180740631533762924,3270323192984775774,1527687126322339428,1770405545004186816,3731171594257013616,808953787779409170,937441360164211776,513944926664344848,1274499704527037604,246368760964476552,1388107569106176912,1562616277035598080,371225555778951324,947680055449777104,2577392426819814912,180229102376217332,1206136574544544488,82922731191462528,829228986101614080,1526152172011132032,940756035416821686,1074467609218447552,2740544685009260928,3392993952107394624,956632530812914528,1952678202110210520,2421112279749218568,99233486617893552,1653894848845240200,918587856992308092,241436316208992384,516616044956264220,228861463221454392,653891254275733920,1874819605571184888,707817336056242560,2418524239495070718,557638010621372790,1431875406207151776,544289917581916156,1109121671188462104,542827046733511020,1276435056369658440,505082360605267008,1048574475951553872,480096150541570200,1797063397309147392,3967074657755169312,2281365912704619710,60151208781172326,809795868914753568,11667070232380288,700025722320260160,1495150171405846524,962411559773529072,103139855258729748,246480227704396224,1848605727965340960,713078119953794232,1460060500212626520,2930400608278714830,1287223154566140204,1351953752308508736,1890367875083266640,557230174692082956,1423153970155647750,2758259799939638560,1337962885838751744,4116758624575124256,356996413510965030,1068418106555631480,677966667791023080,2487172145881179092,254559865002078030,8805600249272604,264168600953651280,760492926896425548,1801455965295714756,514712975315968,10294282797626880,51471530650425600,71966468412208770,431799792612533640,438685002588424416,2305483361482804752,680373672919252644,1199708422671680352,3477088823522865012,1857201838212795768,560096849650470264,399578362733683552,986900597829050256,1294476372867638646,312235490771803924,481333480678594176,607973730478308216,226997805262423104,1008881489637665280,20495624509109340,819826900717548800,433723309738011216,1445747763838502880,2844387570181670568,316692019913523456,82414255751367222,323793462216201486,1650802356977589648,2141286016422134592,597026237591586834,815041325228789970,258031107638873856,2315537912316658304,1963161864773774250,1695236077754319144,1881648347136750016,350614111577099904,25201091513276406,324014815990244340,1800086664074868000,97607228057764428,2854233619418436756,2029881915746331888,213007041519667560,3195113413064936400,47517234043671018,475173502789350420,248359326888885616,964177931990675664,634984089737437764,690591587010338496,1352036032389447768,503737654897673472,33551316959306220,1006542003082710600,1058492487044380752,1051984177573237392,640116426028546950,279456066030368496,2340891549973533600,1272477903645146760,476907355399511496,765925512459196352,2614906988109105408,2130054788431845504,160581293010079810,836934798819120144,136105566897819024,907372745231499520,99721784985321906,2991661154184092940,1608190194722909680,1283655371792240304,551181142236955968,377135921263152356,1610929763695839528,914129255440797000,327020964774862862,803177543461718304,350364164569287840,1002285965094606768,18125822979773550,253762178915643300,1450073355020872000,977846628503570688,1328775496937899488,1703428936506716352,255167043170500032,1649890989499455216,1486063000046733900,2850325405207782696,986656624637015376,2789481613036701216,871403404226151492,3160292372161335432,32331515233053888,969948023161439160,76842438335671548,1071939491973818952,888207272635958100,1650519833657647392,1491875968264627260,1938716236004985264,342769572914169912,1275022650359764704,1232398430647355760,3703955989493274432,629375579433952580,1031378681515457664,304688847000720600,1306332669086480170,662264575709315040,617139483197338368,193516241362389932,1935167672409638520,1573263674292922920,119784292772702080,1181471245089488928,4209466822073246826,1210783460739327944,684844756511969196,1123726161190018416,2148671135751927710,133372497048279936,1497487900771913832,324891110725308044,738128455880894388,1375533822084403968,290633450148151312,807848051576316420,141482720924095248,1061123362466959440,303052502592006192,2357081604117337020,1821623582709348940,978689113808691096,2382865419093201792,3275924479208836546,1403507945353603056,252896715641114484,185350435163706680,1323935420085730500,145368523924720470,452682598756851136,44591270585080824,1560698904616232220,1365273750695720544,546852896328806112,1622038496700474720,1890940529048227032,148496396249681724,3387570381986578704,1004262182611392348,1033332627839832144,1324012036533003684,409221758049073552,528320534967975168,3420119945629816686,2668230360659168694,4158695626461561600,928289594970130848,159306873479823152,365925057592440888,2071415746213378740,1108596964827734272,2308080543776115768,2401394374116810534,2564072221216563264,2153203194970824192,1132842904126619580,3091598358733168976,2524914420588825804,206427273338427696,217320007487647512,2173206500521020720,607746227423189184,35432373140313816,236216522195646960,719910331962783504,1490569543942096420,478361716207007040,557205460141386708,1132937678705162920,329543975449074840,292070192691817488,2507321899888147260,1046114549844716088,483652481567608824,2495955930175220832,776864714757090120,156051834367830246,98002795022779680,588018550959880920,458337291929402454,469090146932577252,2531154754362071556,618991512481104480,91469468220839544,1242339074268535674,955185480149514768,1453519356035115232,778117241808611172,887054657835334464,1361692039401681900,168222463185588360,3028013664631562340,1082668594325436708,209436838582517856,321914264781840192,2299394725145012800,840395108213817354,1732682982498282384,1634362541038077760,1855627186471232916,147858393908757870,477367089554509408,1340875749162493620,893452898880966150,570130212228458308,347575003661161980,3304346653129259808,644786252924077242,293614779783567912,2800991564378125056,1138970643624725604,876586736705194494,1506087827578235952,21018521912136900,280247847773424000,1599912280723242864,2987961035956918692,4268042606728618056,1892370860688805728,1088743104709853436,997358034139612848,1963333991774928384,903198741135825088,81582230812645488,203956232106918840,147894407807102208,924343025004680400,346735873301388318,463447955894666184,385791063002346276,1992624004621458432,1373289342550239800,858547239580479072,574911934873236864,742504048075832360,1663016965007336208,76111336337160156,520895103746858792,101134371679787160,20007773034531552,700274350020057120,2498601789825244320,2946789172599231384,2431368961962202596,374853003696904032,1405703396371083120,718182499080354624,586815884905241916,2583942728299470540,1806485992839621984,60134878707020712,133633507377788880,1004860271850721836,690754231346262288,899208770992615776,1961897819299571616,3147071041833187392,980439281928965376,1979425876222071180,1815727092642127464,230825676906486354,2638016597811830080,2052911452049717952,1287549340228630530,1430701233445887020,715675654263825360,146749005456177096,2097263377318812534,2291945379217479132,1619333704728744048,195281973355549320,2703907481015563812,500713840274765628,2002397595048784384,1498318883022156876,4390438564104345558,743359032894390092,846643273775364528,568336959750677280,405601081062417468,350527348562088516,542036371626288,7227176503968960,45170008844499000,361361317756824000,2415944015982698808,164646360913585536,823234655255188320,385536529384841912,300074175750044448,3000752184316081680,988871049959518052,3500170080032042352,369123923014205832,929494692574354880,713392826318412108,184796761697976474,460885470918411104,301348429275159936,17707629602229336,309884607144138180,1328081560658067600,841447530976951296,603023999084388816,34788877451833560,69578000824139520,974982993596902620,2685659749797771468,939600170103164424,954483673612006460,1626380775577164096,119216630010781944,476443639988782430,3164646427400947608,109908265726778976,1236472408909467180,2233534470803428968,1952390861108334108,664407170650326464,951579729005638284,167078493493501068,1003748345524253712,1704764487687258480,3641791153772013516,359139125834409096,3591404237943070560,969422940884245056,1698601756740946370,3530372965209227016,416860610671621656,971935556008781904,704436131690343252,172399204338994992,1550464400968978964,634836091739313456,902204158735748736,252158801176263896,518230063412100864,347766632972247600,1842871517583561190,1078952455582053516,295713251679581772,3623107413445617280,21225385484096106,636763913986202460,119128061950120192,1516545931572719424,3537978255822270942,3825601267532718762,731316501848725272,1302802342461677376,1007247500962984176,2818295135085488928,50346488508962544,1510400288285996040,526810078892143602,2280681854020501578,29705952523518260,1782363827080742400,2331021344573101950,462298265943662286,230044652117522352,766818391305998160,2295125857734454346,1367055834297274440,1148260937996528100,1757682866984735136,2549962766606221620,1456541395045623432,2967804225530989824,1627562216538047328,642952686858173712,1883989628514151884,807238518521033664,2772168309528546096,3177053293696801722,60861906043827732,1825864157930617440,263244104822313048,2256386680925754480,1271005179993610230,186988779732991500,2991831967006416000,2099754785179956762,1976093124041895432,575816304576353856,2995376555345491680,1901462650203094736,1119256717830265188,224290723274599236,239148480871177792,387718873748336016,2964668520366842256,1394513440564200376,3425246203464621228,2307981623225109732,679952473805471796,788085313937733312,1301219384066873064,2308177365363695868,2624768282088470412,3704435701335152640,108333440810033048,325616546199499632,1878452003234569068,999507623894205184,1484658629243972928,2352701083947528720,786506535545869304,2780020822333654224,747339803636516712,1461630864818369088,1728483626483225376,2506639553979803136,764266553324781408,1902604406412232572,426104188914211500,759296653320721344,263505481007835528,260140742536533300,1792241556654916176,3856529919084376800,1869820330960497024,331013061030997032,304089820032910788,46459044104113344,696888460170725280,1116187414453318284,457543404558608310,1242214246209342324,662810262166481520,2912216680822947012,1377951064428089736,2339885664590604288,2098614610507380300,944981953515787220,2321230725086940612,2168919072497065032,538092447964617040,592884274900961088,960267806225079672,2775538454427500272,2288763208667103660,476820651449233602,900627769773071590,2384863925612402592,2379118290762004200,497508755374932708,1933291112290631664,971126690182369776,1153653794130598240,2424489259214019648,48455569544704152,1211394233428581200,2929624236837535104,883083873826566720,1051808345871083368,496599084028451040,239345910681406848,389146834590531272,3071248743609357168,994451700808943964,308332015991489856,153599413162748328,1868365075448384226,1309110399249615360,399328128754561476,1973429003622820752,564932095650441368,1595825534934401100,740172833169994752,3124106284380881778,929194613049845232,952027490814726312,715642149606178272,281709312075974904,1015800334594181670,244224518690957256,814085166475464480,832064172911267160,227011903110527436,511165552896579168,401552957501989920,7310743341389766,24369247952300340,568618202379687600,622355524055564288,104953598153431296,141771275822211444,2362864677585632800,861743598225577488,1347982179312775644,3963711149368194016,1777154518558939344,3035683161580649328,327455319572875624,1070456831313490896,1022091617429288640,1200023417638094952,2979310278038587884,455031305646973182,119418007846922988,2786432214576706080,944833845108413316,640813487951052966,525364041935003328,933164561581986024,724263108564348892,258371462948798304,322965732192813360,890145171337504832,1544250195261897312,1811764248293093976,8297241147901376,497836642200304320,1642656265067272290,1390565447035793120,1100482363429806960,1225922526450597600,1788080988914832368,1381600133009832312,94434386005435176,886265034274000792,2951221440268812564,1031449628231828520,174059622756162576,473861829315918384,865639975727899998,1517342141241383240,1993286978308117632,1024198322086482300,1626388049466711776,56087000456577408,238530495539396976,95086789996589008,2248139004094913490,4376929839105213828,1056113676574992552,93099242144313504,814622005894255020,1289919233872044128,543164998509052860,83814869216092992,1684451030761096070,3251972096206660512,626708228399529696,293862965078511136,839612247026072640,1315244816722374384,375102351870561764,242094293619464256,415832734581464196,1332771863037372792,478294696654985808,1899694235670909804,829657799183378040,206962237780328988,754333439555019984,381953646517858312,931394026285206858,871708479742144512,467266375042748384,1126561660651992348,949125557719495098,467721244730269944,73521945502549872,1654251337012620960,1670576077459105090,1999519248811298544,1298477281259268672,953065036894611872,1132109301043992528,1057669179153551928,687661764765759500,372664142157158016,869249625263034504,1342273271074937568,1042979679903922848,2108530460372927868,3037002631178976108,2564677404577646316,463194996638366124,119808878169288864,3594283020535545180,1452521994736449438,1318148273405928288,861665227272765072,2923324542539146320,1301535300677333202,1330264916550339408,1269829823837743872,1996259755327592688,1913200043419156536,481117627134864384,600122464875147048,496272223772763654,1801152977796132504,983623242917970576,405639661082077296,45286011719241084,1358586746283783720,16080437777315736,1125635951576948280,519284814722803910,107305426054452528,357686444196432960,67026962478616168,844313263906757130,1106381790418815972,1358934789529711296,388849422456394848,2650025464938744186,275814344981840962,502068833603644200,28998232316760960,96661235112968700,322205654074257000,1067339754220261680,902608997714887232,2292560101864765728,717015791345319300,74990989375561188,1739272454026253832,1436679750182570388,1931287483291707394,1258646406281272800,80214105923062560,601608690544393800,4511029682386834146,2495567278656887460,4301738535071184048,1066092300316888104,1105250345231024790,447113931535649232,1949747955187294944,2156435179112638260,301052382140149112,13157282575028928,32893366219586880,1480208675975341200,140215480327106274,3193420224262569984,962666531001415624,2698952922583038774,1474062814720358730,1600200658062283728,1959964657164465792,1545499639788268296,2825628884896082864,85887203133442464,1503033427433767320,1270213428812774544,408317097307163652,497132707326094224,208669097244611208,725359061998680228,2131006950328409538,316100587648702464,1053673827330611520,4526993947691538,30180108885326520,150901291198630800,4388999191372368,43890209463061620,438904271874191400,1883272162963768320,255686779746687468,98198568119635500,1472985852087892500,395926138584592132,2690009663731339536,2354209361000173260,1165941111180551604,2192655699003683760,2609202748131994728,1514920846283441842,473605050413274588,665527747323854772,951580690407117056,1863091752723937260,1505561956087220262,866688735903509856,2647804224544253712,2801805247395067704,491406450902889486,799351958663548344,1942207550845085472,2046506979548938044,1203623163735850152,1502448527547921888,3949277460902788256,1266214588267656258,1662261887367019104,285402957227041024,423773355668571936,449479966102753488,722680493984367768,804838525544766528,16705080566774208,501154972544681280,220808122328374152,151142680848133332,13000294340619696,86669072262513360,216673789832749800,320278001368676224,96433002723464532,3701418637723952688,111855061920629206,230461536687212352,595931402449085184,1459500753101337804,3149933935245058566,4409152622902501056,3456020405186589348,1313177322892108104,2182998880027590912,661035695371993020,1180316122762422816,4159238909278972626,212357821056296244,525661462626365952,247124483557872228,322053455872278254,631023129206852184,869436856819739088,2786034299786148384,512115132359237256,2491831651639280832,2081139080359307200,464252188799900700,1280367625493095722,2033065935942000864,98158090855193820,981586050000440400,261587474133200908,428890624967212440,275042401485781248,1672840662479793756,353498411249040594,68390237560805838,1595780612508618760,545405240547790848,436564752590784060,1406544998257112736,2276277435587504376,163300487838676320,612380068492293300,239526658364992992,2053096518942385920,3289794835934769024,784658473316208576,2874316520965387716,1098196336153590144,1656207285908897820,2871110400365582496,76403560716777278,1835755482207101532,340691879358294480,132057159604988256,1584923949895051980,1431604556018821296,85273350475292428,2456531613702601218,1994014631775323232,2812620400253717112,857041755018700680,1877809280521260222,158384399081796712,290105113622500368,1959737737428602100,2846975516932335166,209983328368931472,208162801150202556,462586498765112960,1833573036225369312,359448688888551072,449313291027569760,2870358811486163712,267323196677783202,491975124113109930,134364960619172772,339944108330580192,1941524097116113620,740072710139087652,187331623134750336,2206346967474842472,656698638247821288,272274402486469284,2145770402764680096,442089989697776112,389038731371906382,1172141481421687488,1683749116345164000,1359973457579434488,874307803713162268,3207645510369452028,304725930990853032,11958177940199888,358747309553185080,576058206219176628,458193762289827344,388567175487922584,728507332899492270,3625512336363046528,117112284985094496,1171129317724615680,1840277787216501648,583580336532750522,2985840987320630232,918055784553263664,291512044294165224,485856101953071960,2046669019373107416,2396797572008556288,3848423658242310288,2637040652645714154,1260889504550926560,936710472977568360,1470222480919010136,1294775828025195408,562931224773885660,365804242952342976,1938732206792339772,1316416577370190128,3211197044482429072,348229818907346580,1555859972230091568,3511074326189692176,2610818765721900888,1942519948011930024,902390071287962856,4500014597136544068,3374438362321530672,1815877159238435832,101200515368928696,289145960802456480,2650316247772125072,1604486592868827648,4474209347841719754,2266057790459778410,97687620068554152,976881734792407080,2349003382895927208,2805764649962300922,4446303230037619764,844101928513847472,204231671477935188,307493343763550784,2049967295009464320,2021768523695969640,54333292289054544,815004033597960240,1444947439488401940,55991301632784672,57855567541373598,305981853933314856,1314463091031187080,592974419181616300,545434012563583968,1559493578900639070,213075184510711968,489763609444680576,991119143619843606,485383441332520280,2343415054323633840,672103763310698064,695933426184800232,700647527946524166,981303245122769496,1292030362313655040,147082904194528620,1166545144115548530,2597225480937891968,1403143778802730608,990337919284981296,2595755278557762156,1494271168396022160,1324854808136318448,1796252945970435588,2447245321646488770,1125886144666015008,1428020405183778792,742961182423333752,1398700286386656162,3933695094635526112,795584150643121632,1388607531234566346,437242001043993064,710340472649837568,3086147438783734944,1712748943728591690,825016993458155712,323218905679971936,438326388600544416,1598598281240343306,825015266592045228,2152368790492096080,765582298947802512,2813505079333418334,1016855673018412392,125456637613403448,1250890948346228160,492993626253555456,410131832756421582,418444931845368720,669370289581571688,667190788596765792,1613399910045519420,640522071090520344,126199921064002752,2318018227905963132,322266920791292750,569228568603273216,1674451395928698624,336522670837481248,879524367807842310,2270985617562310332,36314842431247920,121050197338443300,1648049798795297568,255282977994430080,24934542552632988,166231278568797480,1644489305303466290,2478592835402923872,242660896941335160,1252600046559326172,1257232544499708096,453000694445981808,1303795266385212612,2220504399998731440,422734372922670768,1045219122311286560,81276048518545152,931405975520034114,545440540229860224,406770262499857416,443525028547968648,1971234271268147360,814616635123228644,382117610496283704,43567613208428936,1307036321926561620,2029328759303969904,1104816893388456384,1497906112933161252,314701015130289876,332528718475294810,325444252016296296,1081835223749914896,1776199512862442952,933042830440265076,1152624975237054528,1308241977786435168,1367884985353503936,2027842231935641820,36798116909344208,1471933689044417280,1306131378572145168,502219377719026456,752411171718690624,2492677266996288720,2319718621121785730,353989601639349786,525586431974577408,2203115411493884448,876684212471213208,1457061371951178528,251738630839426352,2031142734134370048,242175476012459850,269085524705098500,536415374605868460,1123251725093179296,2664439629338027970,4035540661208236530,2322777475780122240,494894236900609264,232379211319819656,628131890806399344,1134444061461046536,255618447932890272,87955550709619500,439780491412207500,3404034667183108896,1060427748856280112,832804081818706500,3064760824037240064,1882390312520299656,735228217150842048,661346464125876804,1362277177630774608,3070863347110289584,1835714033586258120,308151512866620252,66622409472322964,666228276478667760,948637185973373952,1177399752655469024,2333815035310827780,725746291596787080,892986262972646304,1779599015084723328,1286821649280899952,1885255122962540448,541961240913765720,298988443619960118,4295580526021374810,500317878984391104,1965946027880844768,1568401747172057224,806553784827127764,24961278236842224,748843097573523840,2186896794009245244,3777349989750245424,1236663783861953216,2072065671867818976,309226496725543320,1082038298931548792,576867074621133780,415198521180440568,1051536689243058656,618560865392816712,464150183696929728,1355038759952896220,591523869712173570,2319985324426453410,933488338483856416,161680499917618176,327073798638404406,680421584060827136,1391716271073760416,3245713985682495936,906204780457214736,255074273298042096,540293963337894864,753558208002477600,376039347974577414,2178320879827075014,2868985970669201152,697660873424458992,817644038502984462,1910725133663131830,337418086343920776,955545985703380224,945713617732530660,3067867863827096976,316272869101666296,1027586601765653216,3238667761578327036,205425728226284148,65396075181967344,1525918341308665920,845990636596909560,1103747532268166892,2983923137521987632,2095686115430298048,4323753746428967730,1119924442157473848,1718140964223349080,350098003214700480,2423982139982952120,647313326424240444,440683714095879936,962945967864534480,2088809092636553790,467715729878677476,305400853752664104,12561249259129776,376839952923309240,125339970434063406,1487639062590743808,3747722512523639936,640071834104628648,735665460083039376,1250521773919326108,878571088268415552,917573903817744552,378507419997116772,1024714374626839872,2478362812784149248,239918568206630250,2716835555530370484,1809011002152223980,887449510313122392,966562009271477652,2462297430943040208,305844528308578240,653415363175186728,584115286302148776,2653269706213696208,599611309548069888,2904340879869779520,1892008670320486092,1228544610870260376,718861364323635744,447656105714013768,973111130766754872,1685991221579496528,961933920626462960,2076941628463341240,1181139941530306548,2453691552972155808,300537598755379968,2504496784416721200,4350585317884147386,925070841240505578,531710305299448704,323569139105305696,655638551305662132,609064269284374344,734459480880219568,1217783274668119968,81691359350322204,680765919803566100,3202002339751601208,225660977060329008,752208339515358920,1926602393046735888,793377833521424832,1786506200295621328,1772322149700189168,815185848383648208,210748492013829376,191701384708948992,479256715166409720,2692368043750494032,1629047730748731480,1202814101259638640,3545349162982543224,3350201185318771056,164291436637340472,268214131752028848,670387891389089952,334284160906543044,1625828300407676480,1637715982141253448,1311134298838417728,2340877580199258012,172350262481750520,717580435313202912,537069342986791024,673469565637313832,174753444191964024,1908832487336914976,748240024350336408,881247667424654232,764678706980433568,1610904236643176736,13214632713723408,264294474380338240,2312592585949430400,1428377973411140040,1708579532626022850,798180245588801088,939593043705107304,170796339077244896,1392283559930877978,4319120570657201046,271760771726722616,1619560494270084960,61527605141222580,369168190584709560,673426960770265848,930284448973657344,2194586057114140648,233602554635141928,971396495339590656,988314339076009236,827992843271617392,1667708842185164904,434109449243719656,3967965618827020704,3073818337327058112,1282811095237793992,377034731461038912,1127729693672444916,2137090128347500794,3259474226030161548,299829845787345684,3474333970298083032,3918417614158128354,657840566779259688,1082096139331038592,948283910722800300,2323254040078752108,2801793676272626384,483480006023522688,613244283795141504,284482773770504064,948282592025099520,1705110020466666048,237614394550147824,908877881136233580,1849804620825441492,256290019243132864,412699574425397112,738683513471787792,342505024678980852,609048155977049376,122260022809019928,1397267305846367680,711129685729944762,2146182632722853712,273277229319206640,260179170648208956,2168175163617437700,1553813823610401120,795730311908015832,3428474608317029706,2295616356360956816,706915473267149400,84427221719703912,723667063097400360,598996733946048684,4382793478522820592,681388013020828552,775070573455488816,1058064190844413698,8376278931964536,251290167564654720,3769379522535670200,162179820019418464,336091125737420712,682709580387571968,1050587045149882656,306701919045099468,189582248146685472,3791672235845162240,630272133221750298,263344970207197692,749068240414250368,1333928424128088456,1470321699478326324,436380412040675680,1847319150986947980,1200615306693412176,1026227064105882870,78424267407375144,2744869221088468320,1592078661497029168,2741696970856239708,39568964503449942,791385028930929840,1300803642071235864,2783930882430373812,73218594711684204,1144221043423747440,1925390941317806424,1636646136772852310,1298602987004034096,226360842962568024,2251470658145568768,976352211484305264,1054326526222053978,3953512255007607808,2880540348857183292,176035424282678088,2260776758684841948,1954008354853514784,3431593093243450752,1311674616205715960,957218435858631870,454176935510934528,514526252448403552,1257743605536464094,781338544437777216,3062215546428500768,2430617515167523968,124081910155739088,1418089406803956480,2360866076723717928,424032211432059120,212810406382632704,57166714365184068,857507041387592280,1705539223627960600,1951786304359247040,1896856525829504130,1077939588912355392,355048855503193800,2118716407319908176,655166858836951150,2123682863545549152,12952281068650944,1036190170159068480,1441323803143812540,2921551279227681600,254949818499635912,2409782070396834072,800121580347359250,717800733243194016,2362463135618995728,1651381829612994264,802523242704315616,4496728831790442624,3717150999023005728,802765886655201994,1117955471647575168,2342248302240811728,3031758260277268096,529786475585066076,393586656054157350,1524275717552153280,27221041859196024,2177699669721132480,612938674709603310,259771015303145208,288636628054050720,736998300879852140,319896751208177484,798658079574684528,2302892530383800568,1252130945959390344,435082907092760256,483086827544470032,1507732450025440320,994894387923757140,3978022221162421938,3520192741172946288,1544073372053879088,1674247459969497890,326757581449844208,2212335152571459672,3992668643219330304,407223724123429488,129387611436327216,3019067153546554880,851357378105299872,2556882838141522320,1219273586948823952,692544680877439836,293838616746296352,1680251456304274840,1541492168841167868,201751727652115848,16860694919242416,56202744653949840,562031731335914400,1166877336763003280,797471254528166160,922975655299863276,734222933927555778,1560509779450065840,98775077100768144,484043082967096266,1841975820057134196,238227279271161840,2858749257516986880,924169965929382744,1773026732682284184,3054626230968697560,333847029771675144,632038096714482216,137714644938320884,2217895494184274832,680866125195280992,1336254275464097458,1590611173502408376,450172696060254528,3772602433206858944,1272563488604295342,2759567963902761906,391504907622530592,3480070508452792320,319779795049848048,875214154971239620,2151362113760178216,1125609285000891096,676204857162212994,477569349514118088,2608204579208740512,996475134595103880,962987654627321148,2524722529911867954,858330211379781360,2393610692795728140,2775028623240143256,437452601406275926,343780293868336872,829442678751954432,582015682739729160,312643882168887192,464778585521019576,100460552373426912,376730012739992580,1736185888703053956,464769261525170112,789482549734633944,480269736648382752,578706745291485396,2921474612134456224,1281408691486395816,415993416826441036,901001230625214264,1117334895812067168,547573822536221600,1964687126926223610,1003880239695483912,1290943143678618176,509503682920324740,44587450049041632,557347514156738800,854555286157270848,361861103963148768,594938701974301956,487618204878915714,2724781148416976256,3057846855939677824,1178305363096349592,2555618803371393300,1593242757619740024,2341503134240099328,736026290730760590,1882964795728897884,1029236009875676064,1220549856586178472,2089087717409801736,915657117454852296,295876120024328172,2958784705677994480,973784387830963560,3919772110106164626,323160839405574144,414955856783408688,469405000687231872,579088051324676278,2909134439505930132,416289564690420096,195839838706771608,1190036227075830768,2876692933556180928,1290013702872205060,179210657104323930,373229495387393976,3003076371756226612,772646401233855216,55116787992054030,376719102374763664,1412707961655997920,1205748998634702228,1261372621473538572,85910226215424732,355006524775739868,42693885285379456,1921240288233189180,236538801650898912,872329047961961680,1858427105712045792,1532723370032130180,366166609832414484,1220565210330492720,248290665597652608,2482926700897791680,36071086219681236,1623211996909193280,873351157478585916,390396325085557230,2623946063636510382,658052237686678164,530514135900572832,1023468560168546088,37792299203329530,2645482404695583600,1499845141359088488,3863945744108229152,876613032559499598,1203194981886375780,3850006210113322688,824007424360068558,2030850391923546930,1677559834377959392,1518598944335726208,1868669740682349402,1038828444957094050,1902344611456059648,1742109171513969408,803440652844947460,564944918555680524,3061329528008821608,1017997500363301224,1471218550108970256,1334172942904985334,1421681889579185088,200544759428891976,3941123186588130864,1939681276234687530,2096487893736038016,1405360254602281824,1021669215153058262,1803795811161319008,950262939728719104,637865771194976016,763041833522619084,407225268260461140,2170988747150689032,453102870418513344,1003413469506972552,491240487688951132,2614162131164730972,1429334167798016424,147353848439186136,982367108055317280,877081755814813824,701234566256821504,3840447799869935328,2090744831390056848,91622690556773460,411864319388986368,251047354484591676,2327170378634901002,1789561886937369984,921386624895392040,67451409022526022,850621972942380870,564178814932759884,1469602477965689888,715907729227074630,2538019209235812336,389473842772936704,868247914796754696,1529390801065647660,193401971052719928,1289357234663382720,983980063494033120,2727911582776775868,19636348658893398,327275214186867600,1200813636119598624,3936902118094231104,381005044093574274,278814257888905428,2126483592037646400,950250914539668630,2439874999687341216,4127959746740500704,92536339074126552,2776113493035187320,86426122303640322,1439070954178158096,264690725532385408,1415008273545433026,410929293212265618,742761478168668792,2245428466343972868,1625620731271825464,2634020902818322038,404040794247197580,24779406529403424,330394877984746560,1651988351102299200,280773914454752256,862729771064289816,1108810259919435216,2243034110359905210,3318039561237797368,397876284330694752,1902663759738655416,646392543552861006,1226844454635413424,1415965949975690208,38914361608061790,233488153793145780,1368486516728247540,1069795278250729800,242323562800324248,1011980230081429140,21985363390251008,219855507332014080,90029025099598068,4051340683230753540,3715421173354989696,922854404288985408,64440804278877984,322206774499107360,388333031224498272,4195635925127594076,599433582835648710,189541929101483376,381419308883012652,281490999878529672,291530520050123250,3527144583077933010,3090060031466711808,1319008852026453552,1616173043797595136,1020797841869662860,561672603179031492,358124931506858064,193089254472344472,482727290897186220,284797651466023256,973076553585198180,1721757836851648704,399801861011655528,1616006874857774760,1424965733191456848,100092426181987872,500466453869820960,461877404327304336,177203404140444836,2278349188441830180,7660856894378490,229827696518356200,1306590927598833120,803508940236510810,1940029647240897370,3118820842778565384,3492775064076351744,327585437471404592,2223364958438276844,4060631225530687104,2366625674083213120,1519284990857782896,3077191651493871216,312720075526929472,687593461907791488,3819577136006623824,2078399942323506558,1159868157898869984,2628084985290127440,881808308184191192,740403121859005968,3027881833023353256,3016176833483778096,2576788956772083168,1533996799457862432,1611468560134645936,494502572693654136,2005262718398045730,3810356475615846256,1532238424734839472,169315234090202232,178441907924825974,1887873105798773814,517196357952042780,418475622999764224,581534622230763936,1331964361869440868,1801979337119606064,3411788789377307556,659062853034545052,531305912108892016,922521420007297740,1539923895864567840,450940360194377604,3006295596576177840,931601918696218944,453098632492530448,982379417598802944,1526119253217628524,480706790057926368,349564821846415296,368922340608221418,1233941001754559664,246786574648205592,1645258413202251120,434089844422924580,1052724106470538404,3950850435903163584,2360086400877705744,1194837911396193114,2237820222512571630,2176710795425529120,1878517795374276192,804667024641272928,4006295946127352592,1387117130004664236,469093844688904512,1660564811335619964,1695847801246175430,2816438264011292592,1951759314191021104,2335595002479669714,918130217813786952,59767274465610992,298839044185043040,462890524574472390,414790111384908010,648946556115399168,1284290810676266976,840071243414774952,189856635122408676,766371878013253128,2367477507108157824,3469325749277634000,1182109904087808528,1288644634104850440,254279442689633064,17018782235448690,850946766118850500,1677622257539725068,2439650455746275688,2725073941379472768,3002227767947050272,4113675837431870256,72204563126077308,2166156437363364780,1930297662160337760,2593548520253407904,842824658361652224,603562701155325912,2856170373904200304,269446122271545408,673621401533870160,1683708135288146180,672046881530126568,1972884346905042288,1026768431356812352,81379099424389020,1220697566311439700,242529912020239488,2155841016054232320,336958405786321380,506956908258287526,348072477180852696,224528941584241872,896636357959536528,1983979292193983808,1099523679668064576,949955029919331924,538836084335219616,336481076182422996,998848626316107864,1488031100250190320,449466646788828990,2712445398753253512,1434340224609797952,1865057580654253536,2169798489225397492,338273086447213380,1027200567146802984,783783700329565056,3103748301270731058,2737262447344629204,372815212546052472,190558304760779508,3115682617362454992,1070838186317243238,63535892164277256,2859141419673040080,577844617617956016,3036727754404539132,2654630133801060096,2535319375199945640,1275632664201115836,1530417302448131310,226427652100594304,283037174686039680,1516092229864693350,4545087408572465970,1503410511062223288,2311828682339049660,298436552656599288,721917169048112202,1922786166614314920,2151295352477736696,202340101288211640,1214051848106657040,9048255955165056,150805663330862400,2412912981423705600,2932115107098724140,1349566465106319888,681822339599935488,1504315523633570384,1999940891332733802,1200579836091638112,4359694307078663676,2060687775305654082,1248587532060194610,941484571290133696,828896774481287280,141163885515873474,2403275096176399968,3266138914623242784,579468282039169380,591251681617100224,1867996419401066064,719067731879983176,1311062387224707264,3205848694504676418,114757344303242430,1377101014836684960,2455097336817247584,1798976192793603930,1928207260617495848,1080130592422332528,516766494579351480,617097397393954026,206973852841178424,1379838637111914240,831599095895554576,1016015612888435976,705728177107552728,989518175767782192,1057925734359902976,933286776324774768,384922942624379940,528363207109820688,226918893514709880,616215190244991440,1326422051003338776,187961873157365472,725100708329254064,513820495862385732,2104023956297423724,3307370700522753536,346859259707381784,217154913298853442,446020479707128212,2376456696148308840,201355814758735152,1985447960640405176,2059890596499737730,369181402870591440,1163085080417084020,1212647482785987888,1005671062971564420,3335488331714202692,1917725679644593896,754035464889486612,590764879566108324,1054376712460008336,2968105881728361888,2763080664534582518,2033448228587451090,122938560138948624,614698658318411520,51507550158536592,515080413900456480,370414268455485760,4167200294853150600,466530578519685372,815156790710505762,563981373567329220,1449633959810079648,665134191268798448,1302267538129003272,441036197640776448,363456244395086368,2697107455037876958,2804542997560149780,728014719999615192,1411156047564928896,996556634247207876,2148762932327722730,1001389825288374336,3838954679373851136,245529832976132146,3453230028894854112,807611283035743536,324859230601654960,426067358777094936,319833667049753808,108479405871408704,271201128348758040,546845049606611070,1219865299319569416,83563232591479104,557093594804336640,3427254659268224172,798805602080958078,1062470208628017600,2845169083157905152,250776169608381912,1209513488021334540,1580200935593355008,2859542126273795592,111063068094570156,370213814878452680,640145926350465792,740759935977682956,317045112274862478,268551217777267728,1322762148164923488,2165377812975556352,882514619190796350,1728189750229542138,444630626697801616,1989191828023495440,2179703153161607190,1243435044144836336,288583263681554592,1507671050524958088,906378218594201388,1978561845533888076,296052403059980400,2150180652027107700,1760758187277432084,490940428580116704,1771942695750143580,6348366266363136,21161427849456120,529040872366399000,412344990791101008,4123490283891605520,105478261632854088,791094714508711260,955971677468156580,448880209128429408,2992564087498925280,2592607197660551172,2444695441494808896,185441592118984140,1007613620890030854,2894304219096143376,1608656447316051432,1344029492222743920,1256381058894309520,259270747631023590,49316284616001696,986335411052162240,1102381990071173580,1618701439858869024,1679174469554316648,2406953497564728360,286363461870698580,1257979415225124288,1289215947504279168,3359610653513766336,747074149816547960,3371326424661280092,259730590994990652,593270683220625120,1376177677235324154,81790181578801776,204477480557531680,39169363162960224,489621896033477400,3783526907071141648,690386148934392624,621043240333793112,134561345576536236,897084552518443920,3043354948635918336,2672554641186185568,3502362840607121040,1963043105633463384,233623378399729304,2175635516748290688,349367306197520820,1538947908474235824,2022848258224452120,1503163615423160124,2718607098066359844,1439731972023958116,1690984906441441884,3120825465862197376,2493480193134639366,69021453423669048,862776798654194400,1856698444843977636,111911781987193356,1865215046822465800,1112371201800388152,1003916011172245056,1230903840420140032,115697071840665564,385660775999171040,934189215122517876,601432256718839232,735970211554798854,1709361820021697248,664710903819506016,1328364205819840728,3403779477284132658,473031373461999552,1017481572407543256,1057735666667164092,1460188832730007788,308662010670146316,284990858524478208,474989556014304480,955611815271653430,1174861619037961224,1111270707502888284,1108911380010030702,129013355323295988,692560138045898220,1488005983418047488,522155852868067494,1104035900602237470,1272369306040356384,1489640583678109460,3570809064967760880,2464674788489447592,330086518440908064,217711598161494240,1741710463247925360,904135217486745144,3845601705992685120,1484391734792997192,1342435845463789836,2108624618454395160,1477297569135917952,607562467191613560,1614637488172942848,3488383548007553118,1693914628606983424,725901475002977952,2652739254859648518,2898839839961016210,526581783013471344,1854776459870460720,488174341618478706,642980780646041412,407642104889645472,680770240605603252,1498219515171838404,1880695556813601936,282501855436456392,1197182699218713888,3991442425475180994,2286282336474882552,789841945519119216,792580185367332000,4355802040547392182,278966401661251062,1023414780913877520,197585985372835840,987940075714414800,1770967731875814528,2612091226563455168,1472323607824322784,2880236768407905042,956822663902648704,594339360747499872,708351459912695304,333916175344284236,2087717087826180132,2241659388418480800,3858122036549131416,1392719169917929104,587676663063606192,404157181107655820,4442560573326470352,2621314505258780814,1770341887912351734,3125150914226368104,1638110121999201312,120767271723544776,402561740283360240,1909625682379735344,1060136234198640680,185358925632563928,2939266654749097218,862091051335913664,1691977155818434464,523765636287902136,1350680683456168788,1340499666391679376,412854019193193984,109524471886153896,365085369631672560,102196908657303192,24169137957525984,161129263889824320,2688142325491836162,2711810203435977960,1855473658581408192,379198886202042030,1005649252459785032,3889237803752503296,1492812175406391180,4055483683445602230,2250118589591920860,888250975178814048,3080801480028116992,1509145147033912290,966286280772016500,1608674997699263856,1167370127932186080,1335373806892343328,394836802945295312,2393840039026052232,3082113619005697416,1039446591325047012,3801499427423488572,669056047137155328,151390992670175348,2998424306003030208,2167652022071247810,835531725213217992,1996671817661790720,1869615368712255696,769997684854704922,514534993283952576,700871585226180936,1846293723527984896,51502737579279714,23655640089842532,315411860594262720,1125518720811015192,278008288044812010,488534502677207360,828001806459684912,413075463337588920,1913847528547636668,879822083114947584,2259970278109299360,1387137250844170296,353886038500115412,495626455040043888,2231848983065477748,870321585758692176,2180476536215807940,909396342059097552,1980637577298119520,3478041248577353514,2824060282951787838,660439411218803328,436234575200188668,608532857214363688,506341120432392090,2987859512865417624,3314254412540444928,338255132414600016,1015062429534621714,1359155650969349376,354104350178230296,3977822616394812192,1626009959492932008,58594425748880616,65105612026885920,1006127657958255042,3381349173575932224,168000568670767104,157983235792825124,115585153789809684,282297207540445944,396774989913785928,4156116077766092976,464317283183652018,17068508484662308,341373825745611840,1384213905229059216,2913384840462903856,514070447025396720,40016454023111544,400168833624185760,1276302182178618672,731261881946353740,1343048379287375328,3756651293311523568,114587891752444128,524007339761210192,2361056965296211008,3726673777111939200,243313673333163396,2428702120151245488,1495650876994783080,1673037304127652848,982197978008048352,638351603249774004,293658141364304832,471371661838118184,1169790821975061456,2236168287538769280,2473550350327291392,562122897116753952,234121933177456148,311115569689328112,263851172367168672,2968357808996592480,2276267145741599724,2494980693043916880,2109888915345796760,1433714764212677736,140642896594255644,978229314707971430,2168672988494310660,1383474835370873520,2061142730817062670,1558741995854376696,179737708429384560,732183150050837152,3260992456527515184,91932605097625224,919336051596781920,28047719216284704,560960490791875320,2563811297360437668,1059407703056295120,441122246488008480,2996760519117805968,192339427452268818,2002024488710407620,900726110244837392,1326690306931764276,2525987458815583896,218987567075167232,79554121616475816,3182199651127964640,2966813302515744066,1413080941585306944,1702472462458998384,1604910815060072688,1832811153609447144,49789977570332064,746857847858575440,1375686012389655528,1309107227770232160,397240896487209300,1146903759331627296,2955961313809038810,951132790450183776,346732898783971392,2523874877590600368,1009152743464401144,1278199615524994476,991416009121780560,459426179166327104,167853557422602534,959173747470021840,2566597609764794368,447149107580334192,715474987725102192,57895354320764004,128657762139660960,677209568499326280,338714884787501768,1359979971486593232,2116575408254571648,480406071548140664,699526226842059942,600458454113122872,4165731743843405340,460415578551033216,540970577076520272,673242253854777864,478130889996130536,70023094541928324,576935032494836274,1198020342699204966,3503018946666607776,945812451129571536,525228735281909340,241911006188130972,1382363960920446720,408149327901334536,17761511982570312,1420936757427989120,756721150915182732,3433328747104963392,2330000636018477058,1683641928416760864,1596425017930582320,482717639936376560,1526182295571483264,2685760017380532666,561283671820386856,2396499948980091000,1103464725029558010,209994162035183648,67759490875494144,1356363258842770272,513854319378171942,1509292734013819152,3261732136911524268,473401561311690704,841050158089978170,1262765108536355952,379284386477661448,303645205991162556,2361711401471050020,2927048428450620036,1628757322880929344,3468134278318272,277453855718030080,3121390915454865600,3774567279597418656,257650957261195488,1631769138939862296,357695788264322100,1320015826001379340,595237740644298240,483897334325134218,1326928821826538410,112946667601990680,791641246922817984,687177398090410968,515591492726409264,2453139953077715064,553973231634286200,965791908832830354,339946015582977888,1050283257228992064,1128862932788825820,1798154933772237408,1932426788175785376,913097471003626368,1123733409176941344,696209469403813068,1725765168697744896,2009447188251394320,1197608257073201536,452597011977685770,1838573007870411216,195816062603156004,870303480431463360,855150813367973856,1634507477030904624,157650238375491072,1576520284806677760,2228299017006831590,389901299760322812,1021838754509604108,1068114097509573504,13268427770236086,18955112478640020,379106564344593600,2222520266179533384,727776322277141730,1316369473491079224,2245490018542685376,1259773644216235392,198054981043397896,4456287911035050660,2630035057195012992,1189586167533587592,457375348859060322,4556851739188185636,3410744266269891124,2075625456681277872,1268836206831323910,809137546788556260,464490359325243720,3784683171609686412,549748404700380528,2501950236975784644,133526477897124732,1335280083001961040,3733290302910854688,90112746096428526,2748382027178197872,1466726712517415472,857556728014621008,164698804113925128,121401507108288132,1618705363118615040,2921892221879198028,1464510819650613210,1545050538879308640,1513600268242763940,1937536617147799800,1866986827228749282,496979848755637040,225288298563394176,1529739583380225672,1207754210892418112,2462496763679778240,1737744165459850860,3814429904729149392,1523881872006642288,669339791306365392,884786971004230752,3659045553422741568,3532813056701392128,3752499627433044928,789278941855323108,771582209056819776,339731674615504144,1703315307715940340,2127473790675202944,987408524303951592,2511999495569950722,55431076745063712,2217268785835660480,1368368582566157820,491543580754329048,422853830631332416,635019749945281536,552266181323387586,104895339770888674,31472000437294272,2517789312943818240,757771789076954464,2630767252398449148,943498054673506296,646602332263115312,3734514495064650726,316811601559407216,1982708388840389056,2596257188356210740,681467250631504860,1418016462286622496,3445225070844457656,1027178466714367056,3338904576072673296,592348369484233608,1852819381215182592,314843054135528952,79454849048056590,476734670531972820,562839079304738412,815588360463238488,1179080413692202368,1824404159234877744,3429644271847195584,638983154294192568,990819602352844768,1192976145132132348,2485448417522848536,426655602897618432,1213055239008124116,989978214564210924,739030638206779184,1060760416533598368,308067982459531368,215886180020884448,1079443595672468160,1384250768026409160,33466444549568322,1004005156226016780,97604430996606912,4203583348551990876,358921193478241848,388310571440603718,1600442809010350140,440500201772381568,3602474624285365344,2585582124502605744,474180527171455488,3012970603096284624,293514392832629276,2339539851899269260,335879626276219476,1522286928935424640,2995585596406698660,822050860724623908,301228678566838016,2259241840483532640,1614360485654626608,2453383660501455810,2274144722046431388,582446108362580352,2484947669938858764,343206538578154020,1595625944129155656,2209790481717087252,3350285985940234848,688359076275711024,1160743324474405224,542821503799622496,1009866374414666100,155615238192293742,171823907675971584,859129763224362120,317850063656358970,493448865177798144,1291395814976562768,693115731761563392,957447103064446932,2096143454713011768,3944301503432326704,2161248217961686224,192618048045708648,321033912981019480,929239212469731984,62940410203712184,839215498516592080,365927694635210112,402446898505451712,2981088779852743224,2694688793641259898,1991836745069366286,2093125557557841100,2662124905204525440,724869735547879944,473343167121984976,494173204390912464,1257207699730691952,435202680369602040,361073623982099394,408073618110985668,1360261726850875440,2296879906372155720,9515160978505542,380611013590941440,442160078274576156,1386295144837094928,3684893923738331172,38395232852838048,1727806277037329280,783158465450560836,1399718893023245592,1328425435624860864,2469001360438427808,3764661734544635232,604608562190319570,190338929511808528,3375491818727636136,1290666398483713482,2208058167168251874,195161879084274432,3264408242751005028,390734636164345510,1631935507546511748,862236251882733300,979939900734223840,1294138905809888106,1664148766773835188,1017908914813285056,671823975232297008,301964705663549796,943979099352036420,1072381823412971616,321391178067814656,1409459429193438996,37394401550273178,373948555108667520,689998099415378064,1766428865715580506,1301873051988788886,1314368112960619640,403823650332889200,596100468159428196,1729892617877395880,1982638753695259776,3958439671288302336,321266249086950672,309748336035615576,39656386163374488,793137390620182080,2269490080052952090,2308667135023141860,182218718707310112,607403141681625840,2931874054638173820,1795965712979027124,889686788598799560,3337987520762966016,422928147618205398,1561410422281903872,3019880056517239608,2079792025550357328,845022955702813140,883598548470080184,906389555701669296,1362009981341659104,3696311743337569536,162919522140428110,651686078533837440,399640811806436208,2813309019657037668,705728752399870122,498402548597937828,791773022162882144,2341618605333891828,1336231236402285048,1690237679666225664,1607832216953484120,914175988921892130,1717839128714808288,313880969214036900,398736501881094720,2588637364329533022,1634927588964572850,1896132566526365376,134677492905326368,1144599293726486598,421993617970029576,35208740117911856,352091745872820480,2307602230296780180,78132216122671938,1302219685724835600,109686702355967880,269558436813708938,2695617692121312420,562636354247907096,1053849089488834400,169738952027515380,338741783295843354,2948769000938801664,649781730350947512,378108648931805856,1442401698660140856,2912418765484977408,70558830793577232,586768015211585262,2555253020276210484,357289708884425568,2307515299291078668,96407509017732570,688633619011879500,3214736221344821784,12872942694731328,96548270679166680,965494715264257200,473787626957250912,838735298277469164,736200554129555610,2482031040887599416,167993899353278064,199535162015483136,4489597103676605820,397463295648647142,403829005855634888,3739538952327768096,666160555229247408,1935420354302910228,824282357868264240,590619962168233560,643737567709111168,394322340990434010,556963283776182336,935819386902689680,1195340348604490704,437428037163445770,2341981370384798656,376489268943630480,1160768252340511236,403985186308026422,3278341647918296904,821973564370517724,403078623154269918,1377403390447245198,3056433057960296112,4014520564131617472,2129260456519836930,1587815244106607556,1167178318931353520,586518889117703472,2668337553426765990,1439384927211185148,357801532428992232,53183174645782944,59093159925985780,564332247727550442,1775235032164693584,3256778587368785760,3989188159244710608,1180305874365514578,1809682232347514660,140696961355761624,2344978936659786300,193345134011690844,1825439282667645696,961159723562748816,849363357701980104,654765295554211296,616126245759592536,36416843060434688,1456692141662503680,1737711621302731452,344074380898462280,2647194463306952496,1877905625811029262,268752284292779064,1791704591018130240,1978111989209262720,3446954781538395474,256673864463238398,28728437869792800,1292796104427729000,3323757160422193248,495197863333516728,1772344709038126476,3064288668790452096,586897209425846904,3055115939853149040,1226053274835506280,2869851072527071752,77347153218434440,154696274709538320,122437737282291552,153049120067499440,509366208168608868,3489627805214133618,1949894189574979680,1302783077791803504,1160457617751892128,2413838110077160212,2244178858446904860,3227780008136192256,4143655855146798594,42216014560452810,591031752665388720,333697966995945156,1911838508462394288,1601532325474626330,1732588745510834428,1297435178551842288,1436561395955602128,1757836552550968680,903160793838972096,3012047660603638608,1738869897255859456,1177004169036778536,2290940714813260224,620201822925748800,220053285211609728,1467040721430044160,92454898959075992,2896686140151689508,469217827487855196,74187177372946246,953847392029481160,153177858248826048,382949568368023880,2032235352847001808,1988595468969228288,374342992564480476,839122922434777410,874948712564623212,2619750202084879776,2237500343001925632,1456449951325894740,1536342758208127696,1854835448539212216,95530500571974300,888914039108206716,1788461672180929260,3420177462795888,68404432429184640,684053158702420800,344184205162372998,1129461537735877632,377149977895021704,353034967414709322,2324385385973013440,403952312111374176,4039575397393198080,2255393508336551270,423276132862821612,1016357416245648288,3010274249555587672,1489035416810281704,749974018808841336,1934015997482503704,629945636399419392,167627743999359336,1676299195834268880,205512061946416896,44390325076146624,388420389892508120,87735543385391316,2193417092959918200,2687213296083978432,3014222212310255730,1959024877163552556,529947494381814528,1513773987192821640,4250035482611652450,367839101972801778,203975193974391936,1013003722389184848,2791168196410578636,416461908545385552,75775709109800832,473604360526059400,2180477661801304890,271954476903074532,1474972209153853740,421770802436949888,128545131136159584,1285468110299343040,1027030313384776848,3114025290206720904,2873871131491941696,126776048504625054,563456478448191840,386261533432870128,1136902780329747048,1717391832459821100,1837569153099373440,506526195680623140,928470972982857612,206312658959441470,825261460771200720,254381176246333248,1453625799452468160,220998547629541512,123692486806411128,2473882232234191440,65802786793878288,329018258305788240,444855619634626288,179081766894384384,1798313031113031174,74719031039621580,373600072463522400,1113416737377238440,1452020949623863552,2529087768441275598,1013467804629279120,1464785606418832896,841140145359086058,1975749869260751760,424197950167837136,1358438046611532336,973215102050402472,1317665417245766930,548297127337519140,1087510826090396256,1455371497453098330,662540060384580912,1267005975491853696,890181516223818864,1432966790873761902,173525711595996942,200895286385031804,474574348621352592,855180177991212204,402355335806399008,443185779884275656,1699763541786278520,661117177921248968,1892603662053195168,1918335820974860736,256266158314996896,2066311847365831968,100972385891319000,1514605904435640000,1434532633145867808,711318730977364008,1218151485886274570,1170163799216540568,639117812942460864,630643846079435320,1904986062605436768,2678996780248183296,1674991049410940304,934534811248121160,869690123783106228,1704411570138945300,339079582688784768,963033328935540252,1262547341726561964,1138635456248772864,1925015166826131204,184543548573834664,3699518416637295186,85982777549018040,171967852545974720,369245195830392228,2489209837047910512,206569956127419520,2892018065576277120,150987678928653888,1887371243656519200,1348583173613974452,391350512153078232,662646635947758044,2184749625400164576,2282917657558303872,1112677642495264180,178284397139463396,247521746398983558,2568570149093792976,1679773144038494976,2317221964577855118,1197522052765083320,1739053452524605920,3257712017584592832,978767394529721452,1149477956641469688,943541917466027940,444463510028711616,915699203389457976,967282144977221328,2595264522102142464,870955428112371756,881873224924177728,157144196959540616,178830134020478820,2145990534135531840,3536554451610019028,3115077507805358298,354757546523917872,3332153854047511416,305639635910134644,1008648098915985936,1307159834321565372,1046274466226624448,223523450965708920,281046785691077868,936835284990252480,229019139282406212,754234908950513802,1398418152741633276,53369818571119932,65066399290866912,216890934848321460,483267210957032064,184109558870207696,2744887172408476956,1468978429550012370,1152547833281959416,1284330842667295920,969064848790821216,1080716896361273028,53508808764327654,535095354005343360,247375553436723892,2552169044508734232,783809640059412120,250224772583140256,1251140876140129920,110172332233720728,348546838444892982,1161838606659924240,2589825381358938012,950429139193436850,475612763747607720,2195309438900517540,1466050384822251120,1855939658101456950,632735553107557710,241079303144941888,2895838748214535296,274546131957673008,686374699072239160,2868203049100548288,1535597486275813632,4068078482134128496,4273975671910929018,415747036994854248,361307413469499552,54404075232136956,1632144584666973960,1429520399757625860,257455728765835560,13079808805356930,156959855205174840,2354430080382307200,435610166578737120,64379099653818748,321899911423218060,579900915283505376,850137551527783872,911257468915323024,1976207078670230832,2304612535154720168,1526488898655758688,262361804335888464,574078452522536872,1233707813739694800,59183762561174016,98640960638279040,948002168684868396,384641403321638736,1543699635340819968,10651914260914050,532603046531722500,80612090036774032,1612264012197527040,2217076018841641890,1337539176568512272,1882862635633453488,1146397175723905380,248792712645843256,2627605026554133456,1675745958910940928,1612405436357531480,1013423800570452048,2900723888145025152,1108633554858401280,501301718642916792,800158114319548932,2159418519751085712,76023308506745664,285091351410697920,3064130378331276842,276654977035112412,1425153671094005160,2490719483859535220,2943917677913938608,458031878874787410,1210347314223022932,2676634630975064016,1799935171833473820,91036115328535184,568983616450893600,337971616377306264,708733460075073972,499813283295315138,1536175286536260624,2264866307965821888,931518022388316552,216520098424900110,3031323532811520240,1143815675717603760,947019996997173216,1583231085369681880,630408344503808136,387847430460604488,1446195580977941190,1314470929732468200,838415087396706816,269752673098667232,2697564344441980320,1181017643943728016,694381864622604744,1975619316863632320,2531228839874760102,105407602475548504,790568059418652240,213276599691062940,198090471324137494,884773023268888068,2568644548032328512,802036540876106784,2177041826971488204,295554048771640716,1313591934280101120,1860081582820737672,60763234390222464,759551068502459200,2959781741982002448,1900529547712725312,270083971857361104,1162073183550125562,1698225821778963312,531340237359417400,459782596064389950,2846301568694603586,4278659810466764052,823987562201136144,1042084475818128864,1978546349579551540,1098452934374609088,564107483281680864,960651121224856630,1911327412528496610,926037004455710064,788946881247707616,581808145819001670,400237356829571118,2772257129252721792,15531975783090624,19415243320594680,1747396528920759600,2011600931678219340,431603880991816248,1479054764419212148,423732074521959504,737798616650424192,409138795232758516,1498612611739801734,3017704209830196336,1621564926708018204,262309795712543232,516071787664917690,361531222813805484,178774601337294576,380705132955919068,1933116586799974362,380630156804819376,3507092425330499232,2504258815266329616,1948184668113807870,1006054350841409364,274173659097320256,2404118890719512424,2485199941273320156,180164082355182020,2161999662123301920,52546690990974960,210189747632047560,48797842820186952,1707948755860929120,2320641901796629536,549323489515432764,180098779461816150,261056881358607444,131925722972630040,3957827987985542100,290923259933239448,685067492652302880,2071524411915041088,1117241495792463924,1175413430957964462,1396394694697772160,1129530653541092000,1233154741899969432,5070626671461696,101413979755023360,1014154264758758400,1350158055732093798,1893359720481302784,450175846305510288,788554113205718784,1416768526508843178,812066359808312208,4514690133535519872,1185423128155545756,1071322848400759974,2451018813823043280,280656432338028796,239094786755337360,1684724659805180460,2307181688184444512,632796866580652080,248524637958317952,1574443100005847690,473584384381733856,652021550799642576,89394864056457528,1901966504353515570,835835501464423224,70574283314593344,2117258890263934560,1788918434615613744,2544640996618612024,39966846694707636,399674209708172160,401409409087987058,2512259874471023172,234073643965620336,533214765996610856,97828639469958270,464636371559340414,116935689383527820,467749492238077920,1420179927164400960,1087729294653003640,1055998736624963040,1443523126947032736,1695330105913437354,2740458821151115152,1716193098508623840,2800055433559456512,3341172236333129568,532015124786819136,1210145027943804864,4366507794146059824,227768420805610146,445173075953817528,1024423590676311936,1328038690232615232,830603059142929058,1271745911731328064,192984011609833152,964934022372189840,200227925883833442,1382345765343368982,4473805862732290488,1038763364057144352,2655856496825748048,1379227320364093662,1286145869743560312,1408965890708137536,658650519460317594,419780337865827228,1114409341708753608,352006175255216328,1164182330105531904,427385956506438732,649638238441724928,575958298256089308,1544277891814060590,9664312584430768,289933593670733760,966459369789196800,206512509135665702,82708440323287428,275698814274730080,405003132883942356,3615950739251491344,1223502337197667692,2400996169347455980,702944254549816224,430510039361312316,481883098984319780,4047493643596702512,769501712220314928,996194073345731832,3473572439202459552,1605232526846672304,1657864435603464704,1871983706355374832,106052228594946252,2828100762737550080,4053777880540837176,1564771490126107296,1564982480560735430,315822665179597968,2255909192107012800,3188584427813623936,3092709949045739088,1600147168361678016,288055367364438300,1338013743499029618,1039495575173208516,3418031955144878712,991761773772613680,3967920315232696998,590022130801473656,378957486870246840,949513074264174180,1781454302977908770,1432167836632756272,873224712884364984,853683603268902976,1079427088229611968,2053908105153945264,4555333607654217744,432790567002005844,1280702671516260072,617969142120413696,1806999582091798836,58668722203901760,586695861441029400,463488116940151974,51360831667805688,285342158664624600,450538142854243152,243989682189598830,3415905926887835080,250353618453849192,3121649202531423564,2754059717569846976,1424397976715556864,948951948493991088,574520575725224810,961364380450628928,864102250563429240,739412234231909952,305158110308266662,1917020729041851720,649145346657681568,79419082865316372,1678233218347723716,1796587681389400880,375437469484180944,1668277250138216520,498877595501650128,1745137422557528736,1972528367334690816,2444972482287998112,2838650131843295076,300188312335982178,3888554058483089568,459072637669556352,948171921403717488,1248320633710595008,132899280242410176,1329012543475439040,939463498462850416,2611678430549770848,2301151030175210220,1795994496190431936,3613039057255606224,798213587656181064,2330831444169667776,1410339272412202380,494637257241602700,3315767452053890592,217642843582816896,1360288037829283200,1029429583619274530,3529585342705109184,588472584588270336,737472887456708680,252681577238165238,327535061308048278,1307997768188402928,324301746378164328,308861991900723888,2059090736740269424,3602991030109618224,1542140962191666108,4058539933293605552,439952283109096566,562079001199721808,472610684561530560,911257825741160508,926725622926284540,262024903817880,2096230613510880,20962620046216800,419258680775088000,36803628855511824,736083607899515520,2431335433984330308,895924664844735852,1441604528955698688,3087312067557673296,3067546338647044236,956489628022258044,740206079879552660,1802139061417876992,2314529725504807008,505701043379404996,468651132443984112,362284480998442044,7705612734151122,25685762017382460,1541168901240746400,4577458685571354528,450966335874496302,389513304714448332,2029627047976249904,2594376935524836000,305433920177612496,994152141505975112,2681930665110229728,1310105456739194880,89685223105807420,448432878291188700,2545337417698702368,244136593646363104,915526043150730660,476197437578329170,881247375404837364,1143359381913377280,2035604359407989304,1408474308194241848,2333292853578459360,211065249676151724,904579033965175860,3954559898331991530,1089991808778976992,894175794196623840,1839613472280372384,1432176573761284032,410996941962495528,2037309398380583712,2737289683713837276,4187281718708013330,76647444533972460,1379674919216676240,2009833155932063248,774343704414890652,264788008245318096,214380806668149900,1395196003402619418,894488946965079156,1749944425920789560,3264017759531057664,2836597712567581836,717472406484037008,2670551421641800872,1453543332873176076,135649604984565708,150724076185492920,1906029572727518112,380017485787162872,707869660344465384,1489973528017454760,402944745088837760,2951109673390926516,370132956544859472,1639653573880732936,2946658263065571816,544265236690195104,144084283054960930,409935721370594112,2946677332362377328,1359406663195404860,141414087329523510,383170425370134048,669706536675199236,511026426922526928,156888505767377154,133958700687928164,2009411232125971680,1193780758619278368,1428962630009196798,287583375170076678,3286717443215709120,1498307195137210944,1062567226715225022,1793604596364740256,1437167446857824256,2496675150913931640,1058693260939937838,3482385276149159808,2052064136478790368,870215971193359488,564947114006404360,197207603467146936,470391354948602976,377750132804841816,569577960940850190,107802318311412336,326569603971340296,2332675871053761600,48079102170311532,1682794445164357140,341128311408046272,2218558376474546568,74971592928260996,2105806355790253146,276793173441823032,1324050337808794120,1032633612012334626,347480582237540016,1520508819100245376,953770729203752580,1080471271829770062,506751180741448224,1700821958506084656,1003942935581400576,669825632414499468,847045418791594560,1025919935968074504,1735607776029075968,424280702080671264,289656793708183560,444068365139239036,118501010336504664,612912514039970688,1000977462983602456,723439627924612224,28927659151309980,289281066988970900,62631041560887906,110372078369789844,359129162389217280,1213832627898269508,2851018265999429892,107950767957739784,285290551122749568,1901966488194896640,998586307654114338,465201389743246368,518655360797263152,26354060725578020,922406439572307900,2570903098291581984,1105372761699020400,732698362962900120,567140350437470964,1787557881212567660,489357402232250112,1990567947337700208,3814632336995270676,438723660743572608,452156693567086872,259647907781130356,2393956971644770152,555044818132255500,553570364924743408,561339241299469710,968000164466013522,129682777673839104,1057947980787893088,319842355004741250,617490469249631990,1215545511569763456,3818421697463005056,508459522140018536,1909688314593170304,1611001080234996960,249165895739573296,1066714855571185740,547350827120900352,671720447864155216,391487472334500552,1089632559479618784,285314762018471100,3151946625536580096,2280800264133583836,320863543910702256,110731874269135068,336008935018797876,1866745531980836800,238200719527086756,1266450512366105088,135959056551482336,679805935865539440,2105526390416887452,3833912646736003890,128782227422843784,765088185646981008,1938701590968312064,1791227934949578246,1763967784425566208,1670862121101641424,1215471509658714780,3811616994038833296,582132185763636420,262679688427792896,1402300135826965980,1777648936060796400,624452106092529984,81501934624169556,116433166956475820,525238770531293424,2240488281388555968,1307834311602464400,795059963222114268,616274844052366008,1531740306750225744,456760843512022452,435063615422330172,872091113753169312,341665793376933168,105700861837650816,71417744113834668,476125807145970960,1884975766495412544,293096753618286408,1256148779197604040,324149841997012224,117998199321709620,1652000894243345520,293338731215382576,350018037340373310,1600351687812252672,2688323373393752556,1564984381808781934,675456253930568304,138495361890372804,1406044736719343104,2488351984817154264,66653131073966040,933158617303519040,599150044910899152,411932154911850450,2509588690899824490,1104454513500302772,191968771506895944,984801328971830864,789572055616149504,2117472955356290160,301107512994828984,3894951556210883472,217144579156621902,208119612070992944,13775861110878336,68880400185380520,343870378421632988,506145868972350552,272982256570803048,1324496602216026272,1888364826062360604,274797391339151424,2137347064065821440,3749719302709990320,104141143836901638,1041428026154037120,739419740362876848,156731458506174492,2133530189137418544,164042991891020520,2729097388701409104,1342087767163323030,1012816030457599452,273988869140090928,464377391588377980,513876858952939512,3398150913271995342,603312005973005076,2759334526415122704,3699280872245493216,3412882406583929496,887407724046435264,1201427719154051136,467603968077394476,22118888023000146,1548346935453592680,717254533927444480,400261131759840876,382669297185622986,1446831222085427416,515453967643811988,4500945256205736054,2079231621203035572,2898645003535810944,24081482712371904,240818688963392160,602056379335755600,3818146453676768160,313919732205437352,83622138968638116,119462116412320920,640548977431292512,49618585667819184,3969550624923301920,1226118720492344344,1915688362184405280,668299467937429980,1510087844772263280,2168377581661523250,1784523204477766728,2154281391632731240,679817414181976848,442625236992653022,881476907672260352,1880044787564877024,98981304278154210,3779620874763554032,68139756977390772,164015493962764128,527863075246676292,724752468621161172,11364925833640368,56825545974195480,757686173331146400,341916583304472102,2201584426683208112,80824576793338848,2424776468103373680,2514140493644634396,100844827735386624,2521161441727928400,769778890054537492,1131932397622481730,581483434792248216,2700104099168669424,2111471684699243598,1931604731597421132,1202043517554364520,1480967914752727236,185681139921386004,1643374772231854744,485405475833747268,1762101419755072968,405115574188852494,3423577702537005744,831537375787027008,1051989968642670264,3207003062204090784,385309552948860366,2066309357307061212,1126462884645006720,1093708480589479296,809530936543468782,330147584445552840,195361701137437824,801079252594582956,299730868882586328,3270064216101156000,4171937864537551464,3949345197101815776,554111019212661468,363664654218128960,1590401225459452104,309298590684783150,907455543569783046,1962052261671698064,735146957792395728,1137939341988241716,505514097307718478,921279154610682504,1402377741737734960,1293669132010134300,678118690776637536,2308651487912504476,763790531399621376,2491245843723464646,1806798142142130016,1121879549257650432,114379748575413156,540025055925479440,221198357931198660,1769615789721462720,1683983820377969664,1084941754849728150,392509265006504784,2779996927346348976,1469055181399008696,1175853046094376210,1399086373193354460,1874403077336141220,85672118576184192,535459513003825800,69810069391088952,2443392473921253120,382421388225337384,791951468614678008,2554571502842185692,679338573929044944,865044488577275424,1772404299421556856,286413516829037708,1094883736349547360,1174003940849946720,1725241964519520704,168233518142182512,767903637661173288,1217954042383831040,2180248871688243792,26979691994129064,539602714537258240,625382373864763824,44746975160664810,178990846368898280,1883872421512535340,982700579196798336,2572205988730584024,188399761310708232,3297050143006282320,414133330438536948,920311458924176520,455599192660657848,2459788330687671552,943630916415189552,429707292227563536,75418147060443176,1131290876788997760,330599265176855892,1176975485303539728,3253521570925485552,2631903132369998088,959437322165305472,1626197488332666480,569228636445000912,1545456478046279744,1645606096281220836,1386870765290843220,1272819173939502910,789431385004808652,78879209246927760,3155220602163863200,2205785672132486094,121709360639051712,811409178581101760,427953946089406806,923518191716117844,1976776060882243544,2084644470023143200,1938938287967154336,3147623120989754208,386399695943783664,703441826763469956,2436881405732942724,115047408102666210,907348360111425408,679786966046125616,905171647471187052,1887140716693544460,144341700752041216,812560403145301632,865492826214038796,536264791882832004,695280672789519276,972724807297972608,2858866929911627136,2771101029242428344,469452237501069408,107022639372739024,1605366327193180920,740894116406053410,2436432397163974112,904342547700097680,2233481870257274232,732982559354510608,2385201232957441248,688743109626157656,331409527296659856,1815616489302080316,1383454939931854812,1384703084226076032,2793953794121420112,506503062938888928,1584409341752242464,1647871897738552980,915097881330308640,821432071805149986,864499240634292360,2822477134040315136,3202871091909180048,1858881685721567430,687082409250472704,2380070634235049532,286961936102376264,275294062367386770,1268559449307845920,87149158056918576,581004121566474360,310522083469119870,1021364372960123280,2619395563786384392,642744445896623796,600663952772019936,148462636958471124,1786911849050272384,1577958211057720320,210474554788499220,2525737065536184960,518943412581245568,403257734597094006,285391036694542790,103537987432757928,2588493193812820800,1011424657725007932,1928843403849038610,1346091801429942576,669035323587632224,461565262610402232,231530027087986656,358453750450142808,1096644032933345232,9330710993341122,186617363236714760,2483850269964184704,3541065730260743412,1159337056919617626,2074012324769967282,455694028003163088,1009117806511982080,3225107410891291758,1361591646019966332,1155405487649069856,1952753098217768748,836118455674024404,409812365066598538,2781388037852929656,481794072047831472,289541644045823468,2046074225518370040,4116093577152341904,2935119603493207928,349351419326083848,388174809778163280,493387904222073256,1558939159274907648,1835196987670459182,200866874263317200,2008702756189488000,867067610620159872,541700336577219312,1238026075272554670,3587412125160580104,2102442424030976592,2326711845610938384,2179094134281186474,3092607851513663808,1598929267657696920,244069578050258988,2353153654662944272,2754188835895222560,1630397518459611840,864494916311232504,2813363310030363804,3445253346219781032,383419459946823112,1793199983544363570,1877712679666873536,18732862978395764,561995447717051280,629508237151221828,242799074718551104,1821024051642282240,1311897814973563140,1948755942292362948,348065982415326528,2103568428116598408,3495993840432631296,1730992009145690214,1183324402395163908,1228554796003054304,2839756570524721800,450117602820450288,43009555533569246,3440823147566128320,143784095010541344,1195554578699475588,1737361567841216490,2139804573407271936,1792800946789323936,1622028677869196520,1132241466886264332,1093068755475705640,321695092028005632,131383774851037872,1642325270076359800,664527855354921792,510170025106617660,1501731791973573258,2949804347308729614,1270626039353748864,28888924905132424,866682589349701260,2608809492655366470,2696027562241897680,1189274145575129820,2928193297805016594,672207977897129520,609400834195552944,1342996110959544000,1588167293409092220,456102297336442464,150698052197273592,3516348240543104120,344135476687453866,643646726445449376,197289657237257776,4198640585636338056,3033407999310739848,1128178652810371818,483300859133007744,1009813212825490656,369204176329811466,1525562115393735936,2775591008298327456,2096529738166723968,3366862477463301012,705245905845695046,487463502539797576,388412818201209432,1527599256839387976,1606858654962167154,1125888884094005460,1028672379319456224,462534709436871126,4012699920972628608,1674420549351460560,228126835949531904,1003785683098918920,894332291749636764,1552469224060153320,1008338307547239360,1801082704689188730,1443397047301988328,778096922573433456,256449571929992496,1934807999319532768,465411279231671958,4598484848723425968,3419100314893876288,559926986739091020,238093101410637708,1366969560996352320,1060991672124700320,285699544291234128,1022369439505633800,1899079127039522208,390019600251209376,908084679794307022,769899551475389184,485033997866152032,334645324725834344,112194769958352282,649934921398940736,2044427503940766028,956273675343469560,261183411975980832,1193139910717662006,854755303962177216,494299319174199000,2339016236430169512,1532302455524645556,944211978992961072,185324871305934720,370656184879707660,189985974647180958,338452362480973224,697726232920376064,1406698867374124104,393764545451859424,2058696226426530852,676837402612114800,261039039634806424,38590612608466950,231547708310500800,1758942219221671876,2583212289657821352,140790272457408552,2200496842949006352,210355885957493232,934931351412108240,1529427754275642432,466589877934323936,4007246607735842304,1940131451393598636,877552350673641984,500728233469193064,249926373708124008,3213395214506597340,1339105353137370612,2087252911043933248,3404761074673581420,276241995114984276,679567265653878064,273489636869383464,131226905676345120,1624721247570148656,832861754745898800,3121947707871350736,1032636113748964472,4285527306645031038,447582281316258132,1351057579220027304,1179755485878675888,614589733401412410,1687785391248556464,2189730451477621248,9371208438263952,124951637034584640,2811461145872349600,2077995692684627760,4563677272495812048,1913770528412892930,543762081089695746,749464258800995496,414553909413079032,998131164950678412,2115710994554616802,835459819791842040,58027822562943072,483573688614748200,892366824951867276,587983075289751744,3014735490939571740,2013428366309822976,153111476845536552,3423616819313311432,1209861139396392576,4080017693014179822,3284984293580304108,2602342728501336,130119428804635800,1040973773469071200,1036232237301345648,3439453060722712572,2012456071533689208,909763782490628712,1896176452114343952,50291802712557024,1508780704899403080,677918547749989764,1838655263393481456,104138978887110300,833126543965161600,519276545131214842,3514311542241403134,2307467388435646584,1352970036999769472,637776530782809390,466198183374705216,1968337771296419456,750877872595654464,950349002073395202,13411729660874832,1207077033044171520,1791799479149827536,3418840735802113050,747973851616438290,1359994828963976496,1813760789726146560,2497736206993772340,2427358917839780016,2137305882801577400,207495183765229296,2064470303646210216,468793399416252262,1550565739264760712,2856022522560201456,67398308930435594,1220576416203478992,3863064724129517568,407828947350369156,2532419262396990144,331380379996917804,1841034824483677200,254280258529492608,2542847787113467680,248167592262414220,1489032033179122080,1619324100752323896,547780603096673460,1565798749990950072,2373857654754964932,59805180854299600,598062456571689000,1147526058641001570,1044542252074309536,1233154389878030004,590648344667457894,808074558547671844,1556479749453315504,1439272636987032576,312284738474800916,2573371780750387350,2711639477775952656,1038494678988593352,2321680838023170876,373296450414946728,1808632133014564968,405932658817936440,814845166745967852,2111284346771202030,439268115555114048,1952337626042166720,370394629098678932,286733606770321554,258552942768836580,2492354121303262880,2021092518608240658,278352278624237730,349103003367136080,1260739071256117068,1413716131963185372,806720285227344612,399539101407084900,2495174196909411432,326327998870001940,528482473630781616,1109887496368341888,1030822617231923904,1828504471518583848,876053519872141140,410029439268361264,1937626368961195392,1027154762695089462,847002449026929312,118914150531831168,72618156885287844,1837997683016970294,952620532930591524,65265642318439692,130667371534524088,262676877084173328,83591315522673750,1337485096139520000,634628864026472184,95468655663946992,1227476227001404320,1598770123758241560,521139567866211072,646754483047712390,748028628163083528,810114592315271232,395851449835888332,2733529503281504202,426648182898631950,357699853428363616,1860573107214852120,264357937470041208,971157598483885918,686068522943596032,2675445294646421352,1447118093389438440,1938458596483119744,1316522885970979404,2091883082363866880,47634199993861632,178631476146552960,365971071724666280,838764545538265776,54982054135781724,706924901908927080,1052775046362487056,40950455697349680,204755981497750100,4325707655632425546,105455740590538272,9896905682221728,593825088574797120,4206309262440821226,494816304161548344,2221686676002366288,1137111413966759628,534656919284124328,1751126971811793408,1839122699763907800,1359405945925312170,3167639433360821628,1154999466141765048,1350261146476407256,3254318456553508446,2886846169747946688,873290376453903488,139950582070708656,2799062458384402080,3880853222831797632,890860789536768072,2638418707645532928,434268889187959936,649527509998630848,1446832026795120840,2247043692488987360,979859903375476350,2351980264884019308,785604455719929804,34217187182658000,513267147641632500,238414644528275270,2384189846958172800,64676710588155996,868882382727574866,979792283546815680,1566418609376950608,1801436777566066704,1931057306058658704,740563320597333732,755498980898634624,641246719930629624,349589024612083080,1411617779799851152,588930184867074732,1579453853027641056,1446681480854169590,838596169947390750,362880302528679840,1968377050465558752,369294700289217132,233169187000299186,666209851341778640,1552846643861686272,745125921193991508,591529860860335254,268809378519438768,1789961316334348032,368914131453552250,144844064965013130,869080295474885880,1412172449886734600,1048979412831436650,18835073975200788,125569459727402240,944189287571205612,3201507751365528,224109649666593040,2881462597645723200,255041949841571712,229239513366647676,801646282379127744,2395301195028953880,417299801778487980,2804217566086190862,2002522143809614680,298907739787662156,373812303153169320,690088230258992982,1949564598641180944,1378516964045862528,307741146884146584,461907799692429290,3039327290194714764,470777162110787952,4184034121597024768,4696057367168724414,4585465770816157146,386527768486180376,1218558124320043896,3229803506384881398,1285501981345016316,795353134563287424,2825950780220580144,4782998462040610,19132346338040040,286990483515724800,2600376487179411336,739557866484633060,1297774276898545908,1257394639064048496,1402162963177633152,1462574413642695024,2583085462758914620,4107147592778115768,753823610523103248,423135871851061592,89224977994765056,557666412023318400,548869344749410688,162717307636055238,399195868513599234,422000614301719824,937796479397972880,1505109300364890072,2449999342705620816,445355267737363380,266036705830942848,258713267115861540,1293590276440416900,869515711153964448,1171267179057080688,763306754913455676,456146613134408574,1893926392868047424,138945925543850352,1852646673166166880,886657133488194496,367374363787410048,1419772799885066688,408042609095625548,2347470725699491410,2025064762320364512,2101864471025251296,2891872725298660224,3785290495106081184,18993424533727256,1139626634744265840,656904276065129244,998216096006631656,1514813325533381664,606620054153938440,331755136365632064,350798700921276168,353301039983446128,3516709939128465552,1689853625001505866,638313076525012488,196475290539538656,982394736588092160,396261428302940364,2050016530801145310,2601476664235214832,1018340292452999544,1221539785039074468,1215420793573725378,384674926323426708,719797582805609248,911927280924762648,922136972629035060,1090816168458230016,538509658980719700,117056482393016448,1755880000864682880,2762867603028183660,1801301200700400960,2807306893664669268,1498816209456271530,1403151809912248680,186575446893680860,2351132809026968592,957277278326810970,423638378117765424,941436218024446080,2576141953346419920,3053723807769698154,511039954667553696,656974493903542740,2392964745771190032,270402525026149950,1931482762930755000,778086920505869312,746006182246520076,491577939422928624,451903778542139640,1139134475545988724,128326325625350058,2115198162135225288,253694353434736176,2642291429720726592,1474232212641082048,75181405250098368,375914078649308160,2909278396756845428,3407457965556522822,1199893456287628656,2708716060965116928,1924581469268567808,560258795338454916,884436992423383302,916931387023663056,3124639659775068096,1887290136405033776,1047986452144137744,3136893322621038912,2037861926052417248,1879367539776803730,353995891029561528,1082000904701099472,921283762744721376,1234896973517130912,4012358314680417942,2105829507237006144,62355608523311040,103927971877442300,3089344618719019908,2146195096461958680,194089457153974576,2676164388028714044,2118188149980768672,127476599499654900,2294622069912795600,1806868769623336896,1928136132077661792,533085020865460224,283722828046950456,1478424953728624032,97765816471991448,1955353256718354240,2076297003769224192,1566092828089414740,1528231300288176330,3357085038914542536,464464123361370144,167983503477309234,247443352439657906,2827977513036381120,1161841161542379408,801691576227523432,3872953068733035846,848905587772822272,94558792977401664,354602187556970760,132657712655679108,277210413713444936,297254708717673600,3931830916154642952,854889223706947840,542415122680008288,306572235275511936,3094017747038300950,1775878763141282976,724731470186284224,1266702369698955904,45108891457834170,721755961145221920,1509586981883487616,601572219025069512,4300237280725345566,272625517593977710,20406193144278948,1836592276705054560,3262499987469356326,3693775023486340896,3763311792402593376,1521604478389761348,1739379131231100630,1975644930981563856,1145552012899909312,2292463334792087136,876959210298279996,2058482502840839040,3979965712620039408,667165182392644056,991570680337382656,189476980122858516,2558087391455780256,285121168407703296,2376055019057965200,107182135177493688,2143683572167263360,108660805620975240,145914754257312048,547190766131408820,2238469025219911836,1934074341288575760,769666628736473512,1046483596539818514,1350136901430521856,1571748578238466936,723885390896117760,3577211235847030932,2388224183079585696,2156463711634197600,1772010652237276512,1827744325222173952,551586849681104928,262981506292707708,22125930460192740,73754512465092600,2950236947081904000,11006916754021288,990641469158877780,150486637363765884,4514685564974725440,2597940768407444028,520152473897965260,2497540060844057620,801452488461998868,268971573626760960,448294548930176100,840302585409897576,1045082097136600560,1491097370410796148,725552886149197866,2246229684803020464,723029704370763440,462657131109907536,1904242808345616324,98546603243731104,140783565149291520,3212355484981993752,832977925108811912,3405907777055876946,953393565304478844,622003811053336832,1447471895303615850,95249373872477754,426974203684610824,523523856397877952,257718679292544756,1187409131430451240,2452957028942854896,683327472792609960,450602366601669418,1506206143211608020,3459387960725178960,822180831061164460,472333924710415614,447379803657749754,879952383262834432,777965710386889728,2575391934656893086,3150385110511514064,4155557864849914176,1389473662279047876,2981351892917295604,373200436017922296,66720396712888836,222405615233894640,1724845387558551984,212059997530047504,30654657022646272,350345704558153920,3941465321781880200,1556989005758543136,762781617146370660,947858263370486784,54442298322581808,476379321704847540,1392234751571356152,990424962649817376,657830431088142822,178478495354909112,2199040489423808088,3567615447640324416,1090145743967710458,1913152951530517504,49481426003756976,1484471535095873160,1073286659719807610,128153125408733748,1708741455558730560,127957827246854144,1024169857220174742,257875186453113528,2001452008140318384,359210161548744192,653845647583279746,527129025328550204,1134949802703945540,331276683977106912,78155942239975458,510955675417470228,3603200623875350016,590301351562777888,320926994611309890,105012872660266272,4725671115969984960,515424858620116752,1256501496623874246,3536188864351386026,2212682292575386968,7684008633223968,268945534804229360,3073723068203654400,317240709389772696,67629943594116792,375729224238419100,1351275554480051988,735434150796859360,2510009828568107568,3495747516874085634,514617654216740812,4211022453424165368,936857782218555648,1894887959464017408,2064311765326206,13762346856708960,68813076651015600,1605669783198894000,376648504546237392,1520487964819192540,1636057742541233760,810646136611622892,368336728128005686,2624145769028382720,1020772806368570328,1829317594976574230,2999468813555221488,1826488733443400964,4530373386000944544,590751833305837788,2248972046022515310,483984092517295392,44971932192101712,674592181643008440,284983254292364848,557740586441692332,2515185934476441336,1456289171875477170,191811610190669310,3069045873479197440,750558563254089540,2687434073331955776,1330492829680291920,194827195051561380,1391650102453248000,1050323178491292090,2682882052233631536,1032395006962953216,2371336511220582480,17070655745733758,146322777768152760,243876082833181200,995617393117915296,474970182285491532,9002384451843534,210059762916485440,1500456353005962000,2202256314180428940,1019444937326667808,2136398458035254184,1599331929562546176,310617969181890586,2832317556402735900,2023354607838712128,316761365520714084,51712066053816192,452489482122924960,239073737745206056,849556059573140928,3259209171712488588,3219241942549601668,767120883140750208,1176728122957597728,3336286486064988544,2890235807828257572,372013674522980580,434118392150567616,375971504496804072,896651361346992966,3754279553112328128,2383734400557157560,169748280388372854,1940018629010953760,2534790246820409088,6154379873334576,246180055233833760,441877407407195790,3210075444077661312,404175158986446064,1760025612101574510,1786750056304353720,1232212379982104664,3756696236468216784,1452214205155561194,481392128679058370,2613736361623217904,971498087480309928,2667832070059242208,1201094332209037308,1073728937178947424,1438611376214696640,1687447064757897450,301671958498442532,1902295355936524400,113744603035600092,663189450186753984,1810247095071581148,1903045430676764100,919618095985979904,759135342294808256,1264802374932515082,1573973727782899608,1000920163743633304,1291914336621886230,2846182551442966584,4721540680419308208,3997284990176913216,1750079685541567254,390479790739404556,425711365092972864,150652933828463808,1129919449904278320,902544034667441562,2227040058534573240,174785715354994128,388420422155185560,1798132079466882570,431244116361411488,276962766753459456,395691342097852386,792494870760688134,3915938662449900,195800830079370000,1958047277785225000,1561359131830411494,240320910871179072,146408966884927336,408878294166700236,2768142526461828306,1566474324197320872,4001882617197378048,1267460095812053910,2121396657674522660,128465668400075712,1070568587423834400,60724395400182992,607256068860318240,1988567658154577700,2547563467646779272,1151699088458450700,336265556796311862,392233987378241536,2645122369104639228,758707267797338562,1576128354956922630,1539812210822109180,382426886601742032,777174462670712436,1677436475481660936,2564799779259076896,842087055886552720,6039333015554026708,2694967477582275542,11265989144477726610,1767682724980686696,11345942982830392360,431193329656288111,6280450492927959840,1349644843477103200,2227540976471187118,1010295597411466800,3788634718522066140,2834682826264914464,6955024917185870630,6909798109441911138,150003665032938300,1875058805523291750,1388117907571092236,5798981898278358720,4507998187172544505,2294219508844872630,885239058813003032,4110106170754059174,5164605987331415030,11390343415464267072,862016084279927440,8776844256986976366,2505994591045887136,152394201098204620,761976297846462740,12056761673619075040,11856056973632274879,6635138124402823994,1238249674435613800,313603097679431472,1568026391083746000,863605412160615158,5969048837306008350,3894464426713621600,295208003982857910,5904201169522383000,8047455316021703208,3558171343161207456,3761695411707785925,1562199780425968030,338710066639231350,677424852890103180,660851919088115396,4455709438891668660,2925407979059086808,4799997101132122240,5659309981280560228,2355873170624891526,5217797300219253360,5271058552557656125,12343619860125189480,5950295019905924768,2239266644924633762,1988254997124100900,3466849281693164199,7155742422536574300,924987418153762275,210168400051289504,2101698688037291200,7690195892328322149,1430999824008273925,5333823904350253676,9954522237883595058,2884497363524944040,3290732459879970624,8088957986536906695,12102374057108514885,3654460748501860326,10368058553845815165,5268862986327829515,4097519940418502220,4287390259590961536,1066537076193338042,746646461838156665,5406822836336304552,7724661827856194760,5802594249793833648,1329729202149587344,533709899167383100,1139811805746908147,3484140392916185625,7678964073374937414,3553196879541754620,11151521355552270525,640743212089066424,73048483497092405,1460979931375019180,7137491272737327216,3581793782283079065,7424101158612672534,142592855647140230,2851877161521252440,998844071662729282,1630140852753756020,3052637332880089572,7013718367828599630,6768272216160758352,2446952675519264055,1535290806210231075,1592274360433090713,3603361733976702425,5454014235847257230,615240030951105939,3652601159070364375,5678666502049074069,580590515482432050,1218805938878186817,1004600118046566028,7844961281797982430,6427738939892406630,84103930320379515,373797883060112920,7476010414815690400,1022074071216434340,871679001380997135,1928038549783399065,1839376737440925717,14637480033205386,1024630840249197300,7318843425100899000,5250059676462889710,8832945486676258840,2357067108925797261,926406128782002180,236481175185226832,886810679125478700,5707175258062692076,3027464830964772606,2289787089506884625,12168130184062439392,7232582663318322875,3507082107595391605,1793806623659275172,6612021330480795125,7914734910994723248,5738622904043169840,6335073177353761776,1382239190433963614,231823607372414540,5216068149607330470,10866863797504517295,12315620918558304117,7243159449802701110,3606997674257519575,8769724041035326064,511905100147574910,4120256790436245956,8990184904769336992,1593907704443249205,2898108962464736644,1127232175391282730,3393991759578684558,3204177425629112751,7516670610712426000,11406153689242383447,1747903714411637400,11795526317995022502,6086088595893360124,5232122529092647875,6432973293459231960,3773907513498962640,1199242047221578332,734246590871069276,1835791092601023990,1938551324356704,9692825664069600,193857894380572800,2907889135998192000,1201012709673953190,1488119300865015176,2312952054371367955,1223688171164463040,3670525252030617476,1527511607401410575,13564496387462932917,2607226334833117010,2393326686309569586,2958545240814875085,2048759888236038900,4479463326804728082,1346426188516587150,1225471953204367892,110834748447009104,950018918044929600,427860959472854056,534830022390926050,1517184320542600034,11730162821537476848,3573490211487255540,6420240676008941075,600899573440228330,1419128272122497417,3793989193927162299,9244716906704468160,845957800014620489,809568748690421625,891241699758125590,5584674609793958912,1722284479117754955,2301631946091290622,4655659111488265440,545443779519673125,6545372281345552500,1784882055383598825,906207695438276894,7354118541975515000,6559917602212845437,571513635175803072,1499610190267308980,688717268064473084,6898571504869604580,28373646343494110,993084754421844350,11349621578507140000,2490757885423185378,4363303845761516880,1769638388345864307,2180117532571353895,11697600620511080280,4531244446082099376,7154871648387335300,3222903115711213446,780612237922777127,154570822938973425,46160383254660321,153869051790657950,50082013737448914,83470623958836790,7512410261791012500,3476221713317946425,7478088967143457650,3284995234924415275,3586838770930044208,12804455086062422310,1359868813506268809,7360105201198656300,1892265229329537762,2228310828737354112,3764764998264701145,2137261968605115282,13704699275719199865,2905745251541391662,3016203073265999204,12765539794377079710,409056207735249893,2058925988459337160,5556260382568715170,796992057333972826,923794095726090560,326138255344415892,4892109198901791300,5906768785561385399,1570186663316049030,1384081497828609125,1786438712062650228,4214337377226043800,1358591762443945705,3559518149204877237,6901132910798447490,3934681514483957695,1726144344387331000,1253909152289778878,439742665613163978,7329097533941215500,3525313854821602452,6956515455612618450,4393489032060694215,7931010577136625475,3071815948739628225,40710844532017036,814222797691624400,4542473617206294231,4091749076952907713,11877371779827928480,4275400892124847612,4509594860676981360,11285276794994881449,1459671048243297210,2776866039094003150,529791969637712665,1059591639720991750,2820422866414723348,2264105970134685677,344977533894555480,193903153894267097,2856262129997890285,7128558419431671376,7980369127121365072,4735705863209678940,1188183782191187025,2535962875564321455,3989479331167019925,647171500462131190,1389490879589551360,617303228311227441,1579718264056783695,6051361046157854253,4793724546786386608,6993699645229639325,207022488435600173,1078129011463164590,3985622220696977485,2837821706968114485,272220793759531800,1814818535274797280,2836004454711847250,398943164358454261,7415627072204941184,492073661009220420,4100643791666769100,3269467591780318650,4276285822526995335,2688258073742517945,2608643320277249150,4755935219565497436,269900623984341475,9341372581602207192,8615177117807948397,2689597456652844920,3897670863756851670,1245624225080248125,12456333415511651250,519093633570077259,3460649560075133700,1173459322288416271,3043476704201674095,956197697170926744,1119542230217680542,1337713815347493100,5063557114306630512,5158408272657005625,2255512997747427288,2784553881255195115,4872566891028168925,1111734810062799104,3856048773637914260,1802879867754798416,2888105399055862116,1968664795427157705,3922327091762361522,7769554209979172820,4177632504806291832,4180934841415874580,2814574333575548300,7278499967501693424,7198958707504204625,2451207110533307924,7516143928892196,37580995960559100,626354538762129000,11274464621990070000,819882953942986056,8408430968107312443,2579483370113310250,2573041996888131384,1527408010375373000,9138207290777530134,2888240890715207222,5238976665970756840,2107089169344407790,3451533587132485530,1564348101491512206,812198930174473625,462634343355177825,2775826525110810210,184169934125881830,4911234464074199520,68254494661808376,341274991091296200,1137591697730322800,1304532946030638610,1184458144650473898,6189775172890459066,9460970199429437000,2204497838835974198,2387521843924032120,2904788817733553198,2207040092904679953,11057799011149603350,210160172852442652,2702079340603371000,7351230067423616645,5482126908770361366,13287596693521693725,975020507414511563,5017372564905637020,7827759672345110056,2959222842627332620,2643983500491550790,8663375732183072694,1731650732665905240,1264758987454380938,3509938202864561748,7519634273391378930,1388082113879379550,4868883267943072860,2267909900815889525,10299220836101694196,3691066847495288780,203944178815676832,1359637944017564800,334492990144072938,280304893877948938,6353667278038912875,1794590401590406504,8530747438108512900,1706736973924441564,7212663207892665288,3883327214995626945,4796986145279304522,1446448970240417440,2205178524036857432,2391228045798152184,5826428646863055260,4644157983445101198,467738020896259950,7016122496532874950,1199440220047706205,2665442542365683500,2134327614285735112,11812304018702577520,2917854065539929063,2654681144850727720,4981965717056271755,6907912537506025766,4037988821045344620,3597827597127894096,8391567412611376182,1539670387584204600,1959848352157438435,5126626528611901200,7049309514397727000,5741839442049517975,6040127276319158920,4258368545253787854,800713034295899790,3752678724774108752,927110467606327670,2571993692018208120,1196176799570402272,5980928660929664800,10417537763677219869,845658950676056103,7134197944962367125,2366320874312313315,5482246754230654075,234785253391022103,5705220175344292883,1944500010369918300,1313508517172250105,5470818295185241225,423053985521834446,1164779583301762518,1225219194635316825,13696661586590053731,5689013335407360500,852326115733786342,7174534835992251888,2453787686764240930,26099335394075730,156597185677961700,4697950775873167800,4346664765820831839,309914319633613240,4648749648745664280,496487418579512550,6619881897162447600,4267012227697946965,4489614661516018815,8173712158132972661,3780399717474075420,1261922968833910920,2972217305842434687,5669133104976096640,7630994895371285984,679706627112101140,1328859919485584312,2302272300009933342,2049809343595556750,7349197063666910984,3898872778965963450,2191513809567860316,10549232923084896564,6920832762293859955,1374787925336129464,2222666886063574260,10206374701307060128,1966700028969107328,1584282181809284475,509723498343209120,4077818692721196800,6961880713469873758,6709323323812629906,5285552132755966560,4734719106170172680,269163182416220890,10424245398455047041,2546048757088376439,6558115621064037000,2122079193723207140,5639130973852068680,915125117828476446,8903760936289546530,5191806362867242625,7096320827197658232,7649204565289724325,192889399436223083,2372271997280072694,5320401430066520640,5998186999024355625,1261512110562126635,1039819676304509226,398916134996936638,6453948700881000410,73321438837782328,549914949290541300,1497147448237140245,11685373926293983512,803911255774489965,1112485004451070095,5768551611322769520,1648688442861202296,8498917269935789193,11243153519446441880,250504784607275603,6799296999853098265,3575972705235758828,2029141592436838708,1414715439499757175,228796782880859362,4575970342936699000,703353689401048953,2694930151164899718,1314010250156717025,5216734142278994436,8202785068181689400,7352517411843097088,10403253347893136752,5131325210793691140,3584742583837844364,1211840578678473295,9667169284906337211,9837278598984642,442680899596016850,1475614209383010900,1267348638300541980,703006692656827216,4017211635999681920,5873469464965954810,2161932495026435115,8563020409202917840,5998434252706192696,10707499248234408009,10429728821884410525,5950986293675704673,7479299405672713125,3839382692123510370,1838018683897030782,7641464920823219465,177517930126806719,482092655285654910,5257940741811731874,4369807900832653140,741328193292544220,319141350066310747,369083757260487360,1230288571496362880,58305414731123184,583058594432589600,11048507614642266856,2368698717480485,118435839653766050,236873487175789100,1668908715576209810,6057501639837737445,5339886022812310470,10642006193378798936,5139228214671380510,1072391839632263150,10624508154243446834,9579913440119981875,1410556324287157242,2368273858291099128,5703796527187667380,1799009302500653132,7143395319367729800,1907362498902185724,330108817688988174,232164405959861830,3482492742223778010,1733823916876513490,7973097486362031400,3796595748467245220,11640933006137949920,5182608388682161801,3796667777415843630,1516432147508094928,721948853820919898,8649405519968896960,417678680447205174,3480682357017405750,7406178492471830784,555954759071595555,2866912739979976125,2439312112856282664,1246228373598396150,5423770160782795690,523688146543445065,8379074671032273200,7593566411416553052,756348890555235080,1424566464324625596,1967718689312159632,4410397214857969930,322987655641426496,240475153618237005,2404770021588321270,1367528726831418580,349192694695254020,844549566112681308,1153077680491897030,786823647898381443,387844704774262450,2021758509446220525,973751022293239384,528122930046433070,1353006763820460194,5628148737562284174,1023870766570230600,9101143588045056640,4422115137593410075,177430763656061046,1675297171015853903,4291475724877153475,7263468564940758440,11234099881313488200,1364212760212848906,738653147242616119,1246331792066361310,914030025770890180,878958908158382655,1394785936498228839,263926099869073362,11876766189299276850,915426699769784356,13307419064421067725,3878818524989461924,3402673577417369108,510903452061890830,5096712210262700335,982264654220030020,1222825428491304308,10559387470954412489,7606665445218733050,1979212587964996930,1775848449892575300,7217535764362109550,10258340400233537064,2703066671143824550,7202117332971748629,977365696819436025,561710142990282384,337032669591128939,1498155345910080900,10226728005422219179,4747576375260145290,471411679757813610,6573345706262191592,2158576188823085100,2370556593048528963,224695753736804525,711518889698338209,5840232912252900876,3125505954751395180,1808224742177809323,12788562645463219515,2729884819616338237,4144053014960607840,2441891803672697500,13483104167615808339,1161273184230774775,2591385605490590739,5760498950744298150,1936557157942942100,4811533779155773404,682340636683631250,1021379515945439484,999993332130961794,2358174574704078270,1084543591408115297,478706703002281475,2872262564769458490,2880347427093171152,1058050387196592940,2732406343757935444,2752396709424994840,6642248914270183464,7423611070892758296,259664166949234320,3462215863754413440,7812765757196933800,4960330531849193976,1808085366885707954,9529144640282309875,3979105879911355818,1953785211513737000,4983818055443803746,6509723707565222179,674315132650196960,6743203940622228160,4496762853880480650,2701854234957086612,4887233770129336528,7332368542814929775,7570093607720767377,2925483131709511300,9358311550039821968,5675632808424742818,1946831144206925280,4487639693219366635,6475697303685117375,5304509318463564976,1945697425054307904,256047463647840465,9219641424787153503,6165082239873073320,7409730254616567878,5474620328837427256,12577975645370647500,150286449425693373,9017257558048798500,6016561733571591555,7679483963890732758,4077231852525822480,487948810774814181,812577901851298845,3517139541712199277,7761323116484452424,2905074890000870640,466035825758163682,7145233597148793615,1288688418744232175,8328723196100922792,7158440591616351960,9412100879678475352,4043274853686248420,5340823355305369104,10976467172464263015,12973656753343196865,4114374766886372821,11416635191794352715,787856602468582844,2599378294923349434,8842191452953408125,3030129588961294960,4352749056870885075,4085985025939658586,4648546064755405302,989666817046136560,677675145549968602,946063766270825280,160997458690665716,6439949018988959840,1468795178549830300,3593233970678732184,5516069443313651820,7487552762513104810,4582985853533141644,6310892520698625405,6059388973841583226,973113830236916175,1022546272754594208,4524879641665223763,2088200434154471325,1103047172293365124,1641724271824740390,7197066917178701394,3714295461192898779,784334232195960150,3485957422833233840,8249057156351793000,6544403032723956144,749462123415933865,1498936079903148650,5790740557160926565,4942714207691495310,1107455814780326050,1853539786866410054,93186919792670080,1863753122759790080,341301890679824935,487577983468759970,265083269018939147,5569648969713903175,380833960731228219,5141313778143664660,9575606192993701728,8475565380289050281,12142384494054873615,8369694363485704522,10779642412039141335,1218327272532177513,4272407985311180949,1224190076082749475,4026202350536731776,7588499372866974150,3731613520117627175,6574547022976391130,3409389003868215440,7541525455894180305,693885430927721025,3161350371284466424,1741303884236871240,3197399017761965575,1476784349802243588,6468945503652604245,91003146835312920,1638069643452256560,848590569385193805,2582834355912787154,5546273351486991030,81091142296806336,270305954592091520,5406162037596608000,3651299993619003768,8459401583596302690,2368626742105439409,7661431381485013923,1101215618032781550,2086079080383285029,10099332500616604875,4138740121707703407,1300334891022900117,5633278100733273680,6243708944194829016,3697424898262703925,202091966874550096,757850909167119660,2966151138118313145,4636373983226202784,473455136578462740,732363425085126042,7323692601398025420,7217567810565923725,597334329927175303,2721430732705377490,11760263593350148278,5364796282928533724,1513674626083341420,6491994775153011465,1366269043489569820,2042614040182824888,4607332410864984332,1293988294405378500,6189954625320572470,235675799100899100,1571184539421816240,334913431172585090,136862505241728645,10949087884998340560,8307170640060784440,28005414905265605,504101497127980590,5041055266168081500,4939210090268731355,1303349665246061320,2193210158250348216,1159444386015150716,2367490876369643710,8580610183384063272,7493275814393446200,9166165654200963768,5540539960262711464,5418842888552360890,103384123144612430,516924755350502750,4443765001640499256,1881790915884500114,724981795788982400,1646955619504564362,6034796478758740875,1303682256950481593,2198459802820451346,4704620792667284320,8958418952060488311,4353457779248443080,5517851174728666980,807796120237538019,8082115475436560005,2337820782923123307,613427789276571750,7156714995374722750,7961118659131297552,3612916519837350050,8585960292420821184,7517466921692088450,3574135869537770163,3439475633735574999,1395068597114691070,4112529068387745090,3737621162600304175,1449515207383600714,3283777992210478758,1424841414310436200,2185028415498462723,3558125389179072300,2407670961522282170,2540391266847519966,3163049332001923280,5262896248156852644,3239301425280593625,262399788020091807,2040903677400196910,5508814207195937060,7324371967086325630,2409207951217333245,3047299834635322695,1545117941836259240,106748669608870960,800621477117559240,1334379888682313000,8287519324356259776,2256866630119259508,3088678003135597110,2661195145370310805,2120390445759867255,5482761749158455276,4335475337061855765,604456513121729575,4286485384656523503,3968385647524060725,10656903796512582144,2024355624920664464,7119925223682682160,7240151412687591330,7777969980445972410,2615722482610328168,3461225226212239704,2305268318504018490,9176471003937437808,4336963335303179595,1215923534612986502,7316981510065801535,785157689828238965,946389876079242090,231210073728133890,3468179183897826810,775925361769051178,325792382540638125,2606360170763937000,721054216775010160,4748060760025445982,1318042851238535334,1304075772223052550,8883991595862423558,3041346954881404000,5066962538465066246,9745211141403923304,498653300788122285,2770318588107126450,8313644171980948635,6989334064104408,244628677558630680,349472375987874000,416689611057814514,1088842431699863270,115118961416029873,5755994819808368650,4431086173051130970,6144142909911385090,6058567234485770420,3883416642224101983,4422439599314065154,1289976255006751360,146654238330641574,3666385772074554750,2352211612394571152,2960390046850834089,3164043941590542500,1198846135107993036,1387358698838168200,1364779672436258533,820889247405257418,2051883204415574480,9214291836622807038,1002420845750368730,3153801219836366296,563914236049590705,1021193159537130945,975949253656120752,1221339569230004490,1437909772835027653,2059166645849728156,3178651338047784030,1359148809483261862,3190606065171727050,670607072232266688,4175582769676388694,2404597264627508910,2226284075072134105,913203271818379260,8117428684548879040,2729470865071907022,7003550432380329375,454263988474590489,12113805312710166000,1286360028301334511,2188568974231753048,1705436445908335670,1658548257581458190,3568610106829047150,10630959511545746136,7773931723259665936,479618633972839690,709000169017514164,1862750541232027080,1577547049330228678,567954831106413405,3181404237916346865,1821918058547298336,2950728411615098660,7168338825515024488,1261700245812366005,2092511654673397230,1449542292771192217,1274734223674256110,214484172851516686,3630221360806982634,11447307380108941800,4055603376842059707,11412338812535843200,3660158508704449119,1974210112072723096,4422197359722341290,631333565639785792,268963937251850085,1921186747231422450,6862568270543954262,8791757940399644160,7139557097371707687,2096757751695705675,3948753328262412495,1185070560181778910,3480873769138624680,3813160331123719752,3121916526342080960,2466907754977228914,3659020945687486225,3641712410006373990,10144882391756879767,1895367866804147415,787206406130108430,171436002720541945,1028624479602177750,1045345983481602342,1616648473553129800,4806379625103954190,2973013816051039952,5722817563716174810,989146539672559840,3942624399019877745,6501122479335045340,4081374556287904512,641234715838441660,1004947863104555632,5832521462619271710,4311470869794968256,169576125468346137,1243469461135845880,27990772127423854,419865045245368950,2799123394163529800,925406983082816507,2644041771288692900,7175803947697356448,8873734451164790025,3179899912060373418,2714036232271076868,4327481117269857150,3925064618691463821,1971598167762599250,5535279950687434296,3057606196300381194,7116832005554450025,1106628384451890429,1215352371360111920,4365301502254415691,1371751750749284002,696431418672498210,801936757253097608,1265305562671632300,656172590392489184,7382002733479813320,997988741325181850,2943739883053334968,1795004364359731140,8167820138028825642,3862380107121207546,4391349068404311520,7803205927847071929,4832776341322125375,3789555454719757476,2258205684777137596,1516830955582008375,1301233871626821783,7535137994415733800,2088555859968470208,6238387009549527512,468960355258365875,937928492175244550,1072813406358443440,5364111549100573360,3249512379413040816,317739391840711085,3631337485551248720,13115951451390720330,3524089960211418105,1768745702595586412,3416717867215185225,2408840482399192796,11193094429528297160,611628557619464755,9786138270358145680,13009246369838243865,2341335374878111612,8611263418731962695,9086012093561245218,5094515360788498164,2445214094180445300,5958902497690828644,2739155612845854200,5466902216431984448,3345250425833202180,1577611964950370340,1270394823977873602,1497907521348190960,1324760058598841796,229482090746294308,2260813088740530645,10968899137205083984,12430326192203399220,5925580197727542848,1884981035878634822,708737336383354240,1613817504848874339,6877324729984251735,5904727094015882104,6228452262569243777,2382084432597707950,4483528588408186996,3353484411518306520,2218169843450531336,301032174182294883,7344591722613065375,3265333764280971332,1824524687537758500,1478415498506651408,1821916245122697602,2804385449106311050,445476463572105939,11879471665858207600,8781115296522204009,507609515670001864,1354396532762159835,1431552351413831424,1765579473902308260,2661587014923650216,2925524413306422816,1506295571172093930,3168983884388202328,2633903057591682840,4285790002744372700,1464523828058743384,3080733507743554180,10745707314451063206,5902916097205903020,7055100801258971448,5551297933789934275,931296068649880425,20818431761141404,624558189026031000,1620264968902411587,1551040884068447694,230956694048219125,1385751789001835850,9213170360723320260,8872337283922902786,2731639632273777723,2792280581313811350,168961547272144926,2534444488533838950,5908987748873872760,4874273220521439384,11137360149372581560,44195055856164353,441954271964628850,9349284082744874226,9182315725185995028,8555397442908842970,507880437867812924,4986938829727876725,5773352589059178432,9436541219348210604,9861487087336757200,12258791605399899352,8668276350769376250,1704678933494557263,6335586947893767402,7839378095574750720,1457039373260953552,6699576177375800520,2595632185452887931,4989553320422024384,545409037461029280,681767041075030680,1297611677793360280,2233973388377361092,962140035178535922,4276213984463298800,10058510294608611094,488761954378801085,1564411172815100622,7455366904793280263,4189820188456810740,765513903443854797,2551734545599098150,3175942564435022780,1139951833384044225,6637709516858067375,8439511035759117286,11336097198906948825,2306342091893658858,2040344457052083378,8523178413057695880,646234206547030686,611641381169961455,2977907719352609914,5035060777900688255,3260107616080718960,437622911825332755,9038078129166979340,3426579412967017632,7582872788090668019,173003138648862475,2768073642626648720,3373908358308320070,4644850349786437686,929933881790541472,173818332209800120,1520923286645500570,5670713961872839755,1040383115141184528,2600979823585944120,2652810508247075200,922253670516850776,13732231188009234150,9612948956899244887,8344053025131663372,108759660676042775,1087605830376601150,4426889005039499635,917153181456207876,7643008024634091300,7002178842741558675,830540901602033601,7118982439702704900,6388798689407093358,1390633899991590124,100788434426217325,201578580839846330,472854565084865015,398805601780711468,8973202281556937130,3561916540855418650,951890388645933048,2348111208405837330,7462053134312549563,1401925563499316264,527581129633702700,6594820210308599150,1690232662149478200,735771891385372465,1185358344640739226,6311111046563606790,1259815578747857732,1012405854342221760,7903022804460058072,619833780604887344,153912775785560760,1282617389418007400,4088182901739110940,7689600070316345472,352658770102741734,3961053397975376430,9202766553867861478,7206372990516137580,2616302250471429585,9546070137966234873,7744981155085406940,1685332651383412548,1975592003852437670,4943283491916621472,22727352666167824,56818866586277000,4545548126461078400,8414069259810601400,1257147293681341244,1120513700419282960,2092795994876587635,3208807994618379192,304717290744291475,7518557548908822945,8020165891453792797,1958643174907163715,354758352264077818,1842133760855168680,3036533944638660156,10325601012245419368,4467785691218541040,2862002571589583643,1113811581519493360,7445600136337352094,60378686824409902,3018960180374139500,11255958939693300568,1593167867046734895,453032365416506058,2164447535828423907,2080078344424717700,5690649284200423610,2876136890134385625,6726409373928025602,1617697836547602212,5740338624014602440,304565196041029482,4505620581309148665,6747024007318185546,3944873561453703657,7773251464108823880,1209340335126036192,4245423863234097465,256578276869937111,9197167815755261181,6689900218052177420,1761238779520359972,12523375378267135785,58285667922463263,1748585055022095690,398912176009222005,8110583192110669956,11626379123023344375,2830886421880350510,7208123385802625349,7232041741926802500,3201715688333735286,8448355653021000900,735868658974300404,1773547355157449874,7059140794698464225,442595521859982866,5350884435815274840,4608590112492214914,4393905578693058033,2246682933142608555,1904293202850816134,1281663312457127300,4076531381430447756,4630206532228021920,9235683327999816150,10462454246300748041,3144211203839077155,10935900802602901476,4023107499756121389,9504017683339069710,7765060984350497412,2348779567375473040,6194763626813666635,34736002739017902,3126267214130434500,1924411934103010070,3800263033801036750,9960505827702030272,1977340858129769586,620136280949704620,2613416116271217985,3560824065242024790,7807867955814230322,5258088528358695536,2367790645006250160,3429229267264181576,6803753742590679000,6256167259266821960,877186326937947255,4873299498849458750,479149205390550542,788631941555932225,32661799762345679,326620822673345590,1592564308528197690,1124376990607072735,1408208528011186590,2587120199885329998,1800658146569834910,6399111213758920625,3964967597280879054,11844770661045532350,7226774617976146908,2448041255470799320,4545905706591525285,1250044269988564483,852764717626842540,4263860540465739660,619048293468012562,44656544820083040,279105824990032200,2232865961727048000,6632943832331311929,206336013003113364,4147743391153519480,3299722157902720746,6918191234909451560,923062475450565015,9035317237480532070,2308396955543571490,1454302140648181458,2183115884989883260,502762337557126465,7038733863615447910,3925780143701950250,252680412030297410,10107304309318870000,820692232835043996,8333966274990698923,3269969927842060695,504725160882780234,841215916400668350,1372947810217213490,1368276533049160572,2642911671454450240,1706274506988808432,2350624950242286340,5620168275157108938,860710813056623916,3825414693170562400,876193322769014226,5501588504649979860,2783603312765797724,73087632945829397,104411813792185450,7308890645782371100,10523908634632869330,1751718537578252946,5159171063296235375,4184597854375763600,1189222389640741162,9670283074314820125,13250947473796028436,7330448708303755149,3759974412058305225,4347452711484141856,100806099611726270,2016139587768076120,3634988789890730493,3791524641455551520,1645774439062278256,2046775028906693540,3362204997248123509,499452566377526301,1073463084581983515,2385494363551361340,2216615367492777010,2374297040769212187,6554964590747556714,738390939879282095,1054853422589418190,6372812561218271350,1901049205216682460,5685783514882790224,8319780226674423000,13640616750093540435,6223345182498029875,80731584972211742,5651260413017461340,344372207028927975,352154101878032164,3869519975934429690,4831408105536399432,2515496687410886986,1686143142868744560,3370983811221223302,3922858664905944620,3191216931411500784,1362038586819566774,5012550491998808720,410025053463392040,1640114595574471200,4237531001795998305,634351738775641353,4229048690657958900,864467085627442728,7317338665592700200,9916244695418781265,2014408530546762088,6803833272724769575,886852392767279224,12079200863926177650,2105347302737490024,1250163611349216234,1194751161534965940,9292590676645379320,6342231145411577080,7977501979528465890,2779568716656507366,13809135818604793725,9994355372189461091,723599249227336330,4204493251386982464,2467689515592645708,10713477885901425285,8331821838826466238,13645718945656447230,11207991209123694609,165829009756087244,6633218781056207200,3919203235068288195,3839376146187433140,640618262606140368,993183276044869182,8828373555026452000,1474851344628522693,3923676900195736775,965989869888901627,1906387882078997920,3599400111050169450,2025900898264961936,4253210664018839650,5417778969549645195,7156386204024395,429386959873189500,4293907480602051000,2911004970214472820,423992707354188654,3440368761962128014,3850736169372804270,1620438651956133926,1536608767753386530,13468890519475149834,4182657925421467644,2353441609547800560,6583714101758075233,876460248911797340,8764679941009905080,883736972602040592,10310355816160218000,4042236309880737315,2805749372536201000,827320403937420016,9387483452211337362,6898756058677506420,670289813413259669,1031246913860855540,515738645575167227,1033698956959554494,2111667344459689180,4469852215517098067,791807513371830360,865241316949054318,6161930957071208940,4486109047600268985,1031218458114606203,2060906303766809480,2045435572556365588,5671687183193682444,854130915701853650,967509990186621162,458443447918419915,1309850037304299180,361042413071591216,2065183129599814200,1043443789229470122,4031596285090245375,8944882225610753256,2458794466923033421,1673188196748882960,4354730017331033416,340125766773408810,4535050491823716240,1027252135839080277,1978615004381487480,4268427404758510434,8736435551313499230,2542106053125626244,1163621163077788142,805311261422214295,2300909771210951740,2020364323247122515,2726487646616086330,4054999668477645635,3359666140674330825,1276515928464794528,1351742846511306060,767364094582802458,2968137553685883792,11076429439688188500,4425569255884325637,5774761476999703825,512406635955941305,2408375036425487035,1394517150427590280,782621619800563868,409051133678445705,2986438543504003704,669596308703319734,1011551798438368320,1660310177609852004,2111267669633563840,1270813843392877774,2945848697309841588,1601396985594438630,463402689576692494,3846879006617517575,7515690802890959130,1102342327478101311,758493720736107740,2091226001117432682,2339718178980707040,4020413626811863590,2416991857091834200,7367489831356872375,4025336653261950915,1558813961173433125,66105442613309424,661060332788900640,3934296950968549470,3292316559710889282,5061878266996429290,1961442031330738894,3119627415021437544,2222816091423396580,6393288296437101017,2787352823837696950,32102787204128946,374535868445650870,1070112057124873000,4239824353724806626,874420710366373010,6025173084808316130,3769270239075689920,6732125996963028100,3239688295473152208,4531851469195686510,5867606220188867555,6290266041426265591,1245599686999904375,355386101417224530,6397007161869976500,915222796311631916,7057286491195920525,181039711173574605,1048860149607460148,9665655269423591295,7251784005439398620,2847691829705963855,8405385322097715160,2434438761601041104,8005988789480513970,8613629940593339298,2247433064119268912,8826952389128262795,446694286820613652,1370280655248553230,1974013570002510078,3479295698449174944,6153064417736950480,7488861989074592840,3126216164795921265,4520825412277808896,4167226676271966687,9200211126831555600,6987677027808039515,351600465598422975,2344024187282488260,4858234409954061228,354469569855184875,1342906424247598692,1379275040361524810,7021415381002469460,739664160384948057,6340035596671709100,1275126580868515842,724685985998560360,526175257357358318,615827159300800727,3024624811852580210,1185090734627084873,5050589399969797775,808989296025359384,1385315851227154340,3292543425956238540,1121807899952738908,5776693512672614010,2011259335366122504,2036277603777004784,996558780948647275,672726763994226712,1063943601679869000,2019620029171327191,3756614066774140922,2159990225891828805,8035617478706337104,4506949631843923380,1315958420515798296,5377448110042505224,4459002178889655180,4613948952926294715,4449258771769386975,4450297816518769955,10400769527062276395,3566840035203397475,937604523417087018,81835915045270890,6546932406784089120,2630126122688361570,7712406581826559560,3690294207991671168,13632042101658216210,10841873980612566159,9620846975763878904,4728158487405264500,3905108421642870356,2338621648547882000,237408066227006216,2077339392259008290,8510539839619467870,241153767947416233,2586900545723757315,1753426067542269870,3062318006892683685,2736031237570206420,1373609247293106455,9391063897227535110,3063535139390445636,3662921915963332456,2821058626904433550,482847725497967589,420750426371777005,1803232473945683070,6812728278928342585,11070398253478382910,8726170402778599554,4189627628637271835,8020704515697733002,4859880673085469010,3382204820455782800,5643708029914297170,881470389066010450,3924848578910775264,6177584902353518088,4660002894423993060,2752921552672893048,11912180026751694480,5662413303197292486,1116854972893259712,2792162823178456800,83614500046623078,696793838469563250,2787200709799498200,9230723494832739552,7185831255929095825,1696613877606582172,10278626125988149920,5151940611153453837,6450541940825348982,1452235955279718880,4593736156127621464,1092755218581399835,315183690608656212,7091697647997987570,652059611844051875,6520655540979221750,4495999599494571700,2009578163863851324,6146673200706212811,1889872374304281990,299501364003127824,998346985148255200,1367387825287946068,3822201614765379456,1533327152706707940,614768491751333348,4610805767496979050,8514335148246706146,720371363301788253,1702365890023552470,3807260618714572025,11313360901033823280,1144538255443194846,1787238501988441495,1422643105955904480,641911107978938427,2751072745799974050,12774380212448946405,1452280256590439166,1740541472852837850,1903247271676536310,1289054183200452600,3589093641153781314,5324207474068298988,8174928993200040690,6659098713410062225,5494663966294791540,1406197416837157315,871902089946300248,9808988303385993150,139062318194702547,1854181220246017800,1534689693014093798,12539552006761858089,13765614683676917670,12071321650923519807,8072198227561434960,787496705676534474,858189927678203645,1225996848531565750,8438789746689417594,220003095358823910,7700178945729158070,1025094159475212071,10251035618179977250,4135091980707168078,2757902616098365000,4154132098075928256,1442191317616492072,2016888936575843960,4683506357936625132,105100726122982150,525508455694423850,3618169457714320362,1378190515462135595,1376191668585372366,9492623453613899060,6929683275349947072,2082506931876302139,1477211090823489180,10646264730098800872,2920749492593219565,3878482579534761156,1207776646158197318,8553086228009554945,8176194442457156934,8540150367554368570,6720096972628233765,3098984097026320386,7171249640082172750,4695365852637466310,255207087493314450,4253490615164305700,1504251671797479490,6586617568998431650,3060935914103732144,4344875656647873060,2618286583181343805,4084128230875080409,7087831587259538370,6688879332205364763,498047278351509120,6574007949736043873,84748586352142384,5084962065963249600,6473012666700532365,987612365354614210,1138187015322499228,3112152075055029921,9599786893937977020,5436597794309907848,1181666912180803260,2873907248341439109,1632856061017755624,9361318462848411800,842646258153466719,669961719162536875,3460511698417544862,1737603744616939302,10757394157959054760,2071764923335941852,9455363692454157570,1197646351729464174,10049955315913474677,1840244015874004230,6062627828205006588,1193577768521819865,8604591128685960824,8681469422703463344,1011460295926336930,2013993692901711755,924962924576341980,13427898509916552825,955989066366871151,1753748356931222260,5722738077409725762,1141845254713317600,1464189225547855618,7801417916706742342,283465466699697525,8981145365923960229,2918511746502711450,5329816502655752890,1349512028386566694,2163007913646740920,10533232230718922914,5409480533221329475,9050978268715934064,8953013234991233768,1973058159247813230,1293969238229239628,1780357356055652610,9908198908488424173,1128458278284697386,1973517874836494910,1112849807112596304,2423011841771695720,7384440489453050995,2405235025681965723,1289281554333716125,4106555991601859228,1909420976036462840,235332211256566954,6410821314409360152,253572430011653875,3934910826866258028,1575482967892770300,4168581699227208039,2597963497224494754,5159837395623522690,5384645246661936905,4370250549700805340,2394186749198768564,6645578432893441685,6992640062047030960,4900294341908790975,3900849301892532480,1317160818908401122,2572322457168289876,1109883970893777950,4005311111883118422,1399727476585568730,81042224029176033,540286526474572620,2701457800587124500,8703785591263939995,15507081671502910,465216786028467060,3101474150074816400,12289703175834669800,11126716118558003944,2978715514874834500,2766069601478661543,2916387573338304510,610119963420288405,7219475638884016755,1867485381261750780,33926013260227431,565438831775524350,1130888219884699500,882607915356429598,5231997079098058080,1979018432787545016,1546042814323775664,759974626658979970,5557688891048035872,5893783660069797280,3043787471072181004,9792794592632740962,111483084595520715,1114841267224772010,119878336380884385,799196381821715380,7124716396774439664,5711659301771171875,2216872345935182796,1767914809241014650,2151583864290763630,8647770149770052184,3065068318181864785,2546153779874063288,1849435834982711040,4588728847749751677,2640328964376227042,4672624342631873220,23333876908845145,700022864357054250,2341539161891919297,324313200910489880,3243162399379462000,8532602752923382626,162899193094991990,228048232999759647,6081343228158834320,2779338660086997840,2945090285305069072,748145154513473605,8884861633036783002,804451321239138276,3385309433669674425,1238151151913740107,4083859073422964400,890922630674066154,4574211889323230140,2817376282139334825,3901055176639199844,3902027885084155320,8604454545109394426,2839246239026094486,1303285925465151210,4951280866943280296,10705484477447548985,1314148651220510711,5721852831523205616,4695678261558611200,428914559819675532,5004050250766783300,2805862642433704308,65482878965899988,654834949399618600,669625720676514056,844661140098914215,7240020759110573940,8348976531606544071,7371107417145146675,3628249868887621896,9758952764062764200,3972877271063294049,814916600231705282,763173753872726650,4961691661152756348,6991647507930515360,7774130493244918440,3565947122876736936,6839936640130619440,4691438044971566250,407750715112829400,1019386398690819900,3487929543457221576,2505195668458287440,772467247983570368,965593168346961200,1334773345271318216,917969523041884872,1482389136050605810,4787813573022998392,7652297323347941355,221569043369938652,1661783514690345990,2633573939560391325,6056808913636252470,771655351677641100,3002306706636248312,5133644290521251905,2831999511482702160,816296028167075134,5830741021197371500,784000481697175423,351485310611517125,4217863605077167500,4883376645376659168,2952286129329878600,3494173547612025288,10454292949532766993,737679056683424845,9284986598072400944,5094777210306240135,6371804067581394996,7770921970018033164,2074857824230754160,1049590483046011962,5270035771552590315,1193164023415526877,2105028991260549746,1200094540860586400,10094528099031972921,336700653287213625,2327100401712189492,6188646146065083594,6922412374766411040,1127147845147574124,972908270073007815,1613270998872910416,8321104775670404022,13266581257886833125,5261212800046735441,11687540093815210110,2756064213308372260,4244933605915383335,1435768010867590950,961198154120293478,1427095956712731950,7798571924833404294,2809845098368080010,6693987484316850655,1887377829692202016,3218914484682854980,1922959094151836545,2385129814191083258,8350717541827023000,7777316196145800024,1370566564535806050,3648473040602765045,2157074958987535932,10203701841829973190,5265125974557172197,9489632590067251320,4897015662116028715,931927907422115968,10851872073657856710,13592833374835749627,5553258375361775325,2010188118668323077,4072777270365904674,1137795835648908780,6147853900357098006,4588249232303930700,1402452741997229785,279792910215834309,310883972919529450,12431986311968791656,1546158083839934955,8805731650119351486,4092718039400799126,4210782875856015550,8103755861067086706,2133417320125083300,5349357751919233176,3734419090186227568,48879363470952560,183299361587766060,5499033311856357000,13004535266618630103,1362141322761957153,11442856637865365440,1847194458392982018,13712206191895046115,4959285169003629724,6049459747472038812,10146758856795860085,388109873333811329,6166164611282084640,4460968520742955548,1746252293711808022,4776044636280319875,220728206818876092,3912277445509498770,598875136363563332,5756470588984789956,2361601566821713050,5777852032658004208,2864981099769416250,762829790689498259,5448836347741077850,40581941370134660,202911648572958980,6087407716684761000,6506025093487671472,1777159249634971675,1773807188540319120,10589039309508177232,792584647937713580,1039129851977960505,2968970873556234300,4226364402686786325,5400887954646495320,1586867917316291730,4360311874653854259,33693664124130130,539103793843469600,4043317217954782800,3614868193385483860,3977716076324607736,1831293545976062142,13468600805238899325,5784332287008537198,1225693169123108400,10559804935716732983,9755794350979313049,7526918931740601100,8416882638629793064,1186533330066716080,2924679569705891139,2070876364437986420,9271312870783780170,966528133581311882,2311784642983276370,1526759293890106704,2115506108074012374,1656325139790044880,2058053255493865708,7638379167132721520,424816411090807988,2840722970386898145,5067910177752975075,4799945842211264112,219972803309280425,5793583045759989471,1279473427650471636,1152857090292639550,6576917652434332446,552731731414461000,2072763943967991690,6163643553735401784,3744410821826489880,145750998686289372,1295576909381697600,253276802734715756,3799188636880920540,321755997398449080,3217590975251421840,12492374101351282890,11444875266029354656,2699229943989641349,4328702362342976055,2112796976404974665,4452118659791273120,1653269210467540001,4027517012843724345,1093495972354189300,3532211229693974121,879507998583787265,6079211297935024950,5555696480513157468,773363406218215625,12373933942749376400,4378477737984056925,1760571859336550463,2398362605056745834,9867999663130179285,413761829688098634,4137658266503306100,2679968800614859424,2842530261232534776,271509278539266180,3393898782850255050,5053058577502742160,1889418990963122014,214774739382435128,7517188565793120200,1398965101847548742,7681798993921334100,8121037423974901506,5407629225387435110,5900088475582586120,5178018187003056031,7021355545422289980,4829949915734006358,1330378162027611375,2207966496533453950,1137936069248228152,7112169305533223750,1915918197501095649,3431756840528431674,4196109859304167740,5745202127037251760,2368739291617559740,1251147166130419697,112232668006143084,561168779615222700,5645087517057641226,266765129287236240,3334596451286818200,3970956293431516764,7788996856968404220,2101861113359735984,3501225989864410470,4656887393320032988,4456394240990551758,1198993035873421670,9812124627403662261,2550052571389815,51001546590976260,1530061254589879800,992950569792541075,4105175748603673184,9543793136238839800,9263751015870704457,5698415570778546864,923640102481300620,3078830262623485240,8272567049250752070,3988101311715331266,2505901465592837676,4531584187322976200,992507037842631721,2905097348456789800,6828792296428276422,3357996483153510891,499897748997704820,4999026131522044440,114652864501184460,1528719738407686880,5655268632817804624,839238025363445320,2419961657603348860,5509738507403905940,6571416302379440610,5461136818238000416,596267575374089700,2580046727130833502,2638059841954161300,8971257540354836846,2842252413888946656,2625530367987494940,5042537934230432216,290355543439217880,7258959363886044600,3990685496713548648,1891710444552539670,149749897110554096,1871891974516991000,3141578336511366490,469328096144811384,2085923005516417600,2707321903661294105,5188799091746967515,2362657599886660812,4542489511076783665,11661961549036397625,494869120073734006,275071707664224535,10735555074215826501,6138438386508366258,883220990370247400,5212727058676095525,5388818454529365000,5719434277339819656,276762873658799061,6048223594274992975,9523050371716389752,4988192755765665675,628142379408608064,98394279346854952,1967904837980610400,1227513495776411605,8072399322298704015,5893776680905552175,7045047627404623544,5077891028267588125,7261280275108637628,2494782981235937025,6068994799429067545,8613757126763146841,1397809277276231385,13609702964337391314,8780859171384522040,340911754612436715,1363660381141540260,3510625105708566000,10584944664542351109,3410952468177084700,5885239625411915000,6738676129984987356,2902404045255075585,756765744533799728,8648836199360172800,10223647008362543938,5213432159903958939,3352057025531697885,1585459501162516854,5419794403082233175,4465818247500641652,2578306730534711493,7215415831986705675,1122018130742024675,6169340100186817785,3723144986977685556,13765342924347437943,2534755534206990190,1638429727997463888,3425832614329144565,654272572445052891,3111233734252994995,10825030147413280225,8616333761671003638,2657074767359596600,1223321953867205808,3360910568091127093,1000178876285275480,11252123046624099690,192208659413501640,320350917777622120,85867554947205318,1717368001037106600,6340705816856461480,131547266491870925,1315485616422899450,2734717059395500368,4208017469541422180,9342764937907183307,2625790789017712710,6704939989488331255,1123197845303547920,3437061901309733775,5742974767169708082,870007584755194080,8700161607439124160,2344050361286813555,87200706433911800,436007831569540040,8720242630576580000,6182561270809016296,8545569007597336866,630968827178116965,2176302465104382348,2289720043885561245,8373924819119808156,11863306645650097056,3184618604291030340,1157572946434077355,566550361134359910,2832779779530824970,173812599840933588,5214429500370510600,3576636549701506940,5724800683250432875,2136796934022314452,1991762772858243141,3615428497333602330,6288599540772952858,2373395122914028250,6657267301881650881,1383885150992534736,3075330748329976000,4024385658233748939,7510134939167364400,276124157791580646,306807655327444340,6034250147529865780,6298418244995092398,9120129324344620640,2415698582457117315,305253248313145314,6105125413841575800,6131157919329700815,4034610264427784535,971490856384374522,2498332730490364698,1798738020202663880,1377461086865505854,3890728922758442460,1473790651689628176,466804594618094474,5419890101365974885,12028885345195130384,6985947763560978485,4347625660313096168,13782973563572983443,11482974456555194775,280035797904919386,2481002752904243750,4457513418633815079,819287417132349751,1573205420653638100,5692119798448177248,2986843113124516125,596378855954536284,2995695397357329373,5797954105478122900,2703428248242604556,3110884386229278540,1009389112783339314,366784946329066467,4381715183094548960,1593789260998054022,673766718114132100,870108854592724663,7458150040708184340,12073844687990996280,9457619814323830377,6884430070066360920,2210781329958893692,5924325482860071119,5959816979896783125,2286354685612873668,1380170379529283100,3958624320030926976,1782804466418155180,2225036873818022950,6647249656053936270,2435504747882647020,316604332719017615,45313510627223868,1359418859023901400,11284942533860255312,62472950415879115,624735728924508710,16757787649761288,502738639888143600,3351624339518596800,1809162106942707690,4973190401847239260,3018693373491407346,8389213355339064360,7862521945675284804,1541030564174759075,10650454012290478393,5847799882350034505,4627856180241846450,10294129757516647826,5280798418615150600,2866869252420057808,924477104176858996,3002033438172306780,8674285781578594077,821279061481074840,5884349898212999395,4217142918354693265,5043544120869751000,367734598356325668,2451588485817863600,8679215115359751282,2507237200356591066,1057043625352744120,10847410802560345338,4506147453083273020,1356438848328114372,2423514293002498572,4527516582526250220,392205257995031569,6401171718218010720,786412940772651100,1215144333211456287,3713930298791689600,2959485755420139250,2992479305513079700,2474015007771088652,2885249170666656486,376511228167884255,4500463579322398408,554346887348800260,1720181302481018094,1305837335667195199,4552778137948830160,4029820679631507124,6366687560816602140,5804938844973138052,486660637221946855,182892843984324755,2141416142127127736,7808581225711688205,1356722357685938418,1399819751280983138,4523036295501568620,9051540503110249256,879984165083069520,8940443329711094306,281029568533848812,7493478941079023550,4677816207990594357,1539898463646380025,1346019377958636471,4842706970206350310,949729368603099810,299507179343650838,2139358485889425500,9245500724422443024,3130644545831779465,15081747494729510,1206551925493473440,6032820264769396000,4110681556452013964,2721075259217008512,3786335353949898075,255901371427594212,10236157803518181600,2716025061126645648,2912254194886062018,2529480543489270975,3364119541914408459,614436165353253140,1459108260508822687,1605426888337764393,5994605469066890175,2480784973982396028,2022027966530565500,5173976221884010478,2288009337115649232,1013978269354299730,1536998959068389044,6468385668080828940,939451468937808836,114703584774125570,1835275852956431200,732141679912188457,8588180650115155920,10906300172509013232,4547298587407943728,868172636834521590,8517578609591156728,2467193631087095610,4204460795397702879,12145539548085033936,7861106477573843865,1771972617207690474,1391167925778416695,9901478494501141394,256446136114991193,7693461756936843750,737313856181994585,2248598551392760700,2766571289921310417,9070434934071186294,9513560607587142795,4787921339699495088,9303955877098389465,8675049755834306676,1060032191492449976,8702020396813079720,4510237195170420936,4863996148216115075,707356073951383808,2059901640236462690,8954797819612562730,2875894686863822910,6386709671865020970,2539474140778165848,987618555098701760,1650977412266629020,3007284552424738452,5192936416973040560,963981828373683264,5084417738186535234,661156188481098375,361198198790602378,973543195948421700,1618626092434279353,1415019067015655634,3978590147345495975,719134361651439025,7191416492357191250,637024798712719402,358125784104824568,4178176503138762600,3841758183696235263,2126149287967944610,2949178446451265538,1361439601272709962,2779747148393057950,3484059659277713404,4479659690839851375,5725127100884964725,2040482243261040492,2887719051857076255,7996045476226767392,5557641788491991730,13377162196902329973,3187659993234350524,925744381140365250,12343383775656101200,2724416732813933350,10061430597278973378,714360305788525509,818157788483325745,2563711338229821535,536283599343302160,673545251736636747,1448991274511002818,562317689742724580,11246468147224292080,13975190054471982420,11675167106240453688,3676492676221765407,3375040529423135430,8418581979252703029,12302274592321692200,10468264501218933448,4633151432604080176,7711063859008162205,217994942903077977,1453314415230656300,5066157445298117880,4513204120169861604,5074166121574908800,1426665862383857088,1979398425781950525,5087365815309429752,210950576098927932,2109527257463964600,5834287117598428710,2172642591497652105,7905312487523914288,4004544871781051312,1260390722590967980,119437090867322120,2149889561072218800,3300791558808753196,3906180491684991615,7277974279996104720,3553791984867318567,1800997804444717510,3560156410529182425,7371923782370515784,11171816505675893000,2910301440284037012,3824234341297155240,445425042299832585,3563436730035521880,7628333200895829625,9089575305203655552,2150203438193248250,6840671769005445920,3512095767251560776,760057000656816415,2690254901936264436,940243641187200740,38120662087381508,1524842073870621920,342128066797390965,1760373819118572504,8220062204474593410,8318154471799673774,4675716779280625815,10719864449904859375,7427332106544067878,8583728490476460630,2067411224914829199,4398354377282505894,8593995922280952560,4073653588945538766,1065895731153346060,6370769520288317170,1141623137271700860,3595427631078880625,6538898014390370986,7601488269956411875,1125042394182230761,1804809160254001758,7218909101634078975,1797217020217840665,2329390981858803800,6120819840534654632,9786005508079399688,10257768530682864440,1537290445122389230,1510235870966793485,4091920800577669324,1686910062278727608,1837539979255860825,2863747679912638642,1432644063228088410,1646583479654417938,1642228972089660740,3906418354553163840,1516079209309538328,1322325385504712180,2120892323915907936,2028591595845697090,5568325182623399700,1457630266305964575,3464265408771074775,1785705232419916479,6904688336436567173,3331632561657003940,130957166608836682,4583547952835475050,1734822215588336736,9286690121853122433,748867283874200470,9837606581858810304,4031058688197532485,8267804073248181498,8174944313296093290,4425736569431860520,552779848244951795,2211142150722696100,101699738779030113,1017007857526417230,3122960439588166920,4643364758140833144,1393587088931887655,5665480277403703848,632812901629618248,1582048551828673500,767742374253472515,5971391106869413750,1410931628570018290,794521675659432026,599782616368733875,1199577598832955650,1040194792923738935,8090833453024841312,5059937867030216758,8711646788909834640,1154863301901104088,3966019896808945005,2095866848005694946,1450880192018034832,7948451176178085920,544190450758317122,4477045076518293870,9605644199765143248,7350824763499133581,2218845569473858360,1233492668410087521,9593930946246564050,1182884047395980852,2614006400911900419,7091898065475725000,7265481132308917245,7894583982688384800,3805535029106664912,302996854213498485,4847999780298322800,1363596694342649571,5560349808128027450,162168071417389593,112320721995098078,2808047092579720750,8274993730754401989,4099812199062269175,3424100473966338426,454459621293202863,7066873156754941600,387342047745086427,3012691555305206950,9380190280737082544,3827326541100983765,1391870958312937470,1393001240733223436,7020872351415248800,4547334586205063016,1065917050264888731,3793506958236067200,711917615071838256,7119249924392580000,5427742285241982918,4868096746409568700,7255349959262298390,6786711761738369034,1399732912347778540,367515999933793708,1086626131959064596,3676553572474692225,9803550423036200742,4490997821585923830,876080524673827481,2792332155694368915,13299033756822690825,2047053608002291989,1677878377031097630,8052476974932783933,8934114909969647720,204910527434878785,3863911952978141176,920350388052440345,11833199330704267230,4949159450370255456,11903245436879199000,6265929686378529384,3952715542323375,39527566231933650,658799618185127500,9223290533509675000,2583455362319333024,386878354506696040,1472316016613506596,3836909819021201356,6258082847774425960,14014421045192989242,1474158435807796065,5152068440651015208,174429950041352006,533612092642014855,636786686302426881,2224659268046783060,6897747586745530936,7107420022517479635,452011776397088425,5811640504681633650,573603270191133840,690906746060543458,2892439713344097132,161270431790791900,4838163366622995240,921903851995158500,4428747521324736474,4458484924364607864,1076918545219201590,2053574054496625023,1430096690351011710,6185165574223552322,8018060825710960440,2488160305730424960,13680867360068074719,2199734736549824130,248250118010999224,1861895314004295180,3072672172406436970,5046710507609478532,736245388826846730,2454176916944723460,1038216649798086435,2941959702537410940,674858157642527270,9448112886516086300,2884670279442971856,1068267831519956970,5125852795854087675,5966076164635389846,1623764912396694600,4268415211254464862,1691525073147198092,4355472802021698175,3041635749854657242,5520683772180098725,285736678288387532,2857396666587962920,2624507762896372680,1824911349458188630,9020026248393418475,3132289594149412878,2075170695018400308,2268873664221117590,960479971121101986,3201633417477078900,11415061564636316886,1304033973716446668,1448941809622117400,3066418372483164104,4888129115605991780,2854124655441395024,5194422792371384856,820318345260621625,1098130824670405305,3153307618400245200,4425069892413488136,828912012003474777,3613221078277292600,8289114478716577584,8924899805860993080,838036378884024928,3165217774725573774,2290556368766575980,4094489846602289724,2491728810782887080,467637829287122885,10787767594339452836,9115263803376798305,1921632111269266344,404024233988885580,6060427132299713820,4166226801905619204,6054784782859952280,1369539173408691324,7147987363415082950,929309726621230255,2326524114300017912,4021037282420544825,7746724479891756834,6913779003524266875,4231499851714100298,10933307075573166284,6031493451795963020,6772100066184011251,2134388890659943840,4400169539359616116,196972956045064824,1969750277939852400,7153539899605665256,1101830166050381775,294264676742518601,3363060264806675440,9609255531931977630,8879082836924766774,418726326311854860,12561922030505635080,4237835476807205736,114649509272075505,636948425650586150,10191282142965004000,1354374761790808464,733211212332162698,3707129391637003500,591148201585133961,6033440007702484125,1088893439174840873,1479138197923889744,676522664738149255,983783458256167916,1283189197305305490,2281146318579933636,3990889665064791468,3400938582213839040,3851951920449361164,1315659326731293960,2497285301717952956,1537827418882502137,1261932369872927015,285283214428671144,4279293384721846200,7722273913776135324,2950246061918080020,9912240428988412530,234626761149183403,2346292390450289050,1502310508276852666,2310124102310144236,1069373011107132175,1281747137554932152,1876090494038049800,6668650720796964594,400225740386656869,12006899126999024850,5537109089867993092,397972464147388050,1326588907438456300,1431013537829390944,439907849084944930,10091424009939871632,126985208432296760,1269865518878279440,516610915330194972,2952093611885637600,3313758286853042484,253364226844533820,5067338176307633840,116628883597192512,4665204737439705600,6747143947342483626,1310703842099041325,2104775308393335098,2219203062596698328,112565607558806775,5628340008087865950,1091997155728612100,4643563620957336836,624999278317761873,6170266005238444740,2606402487479247546,2392855155698405450,468712810311364122,2343588902790625410,7675281963827992800,9818805211010634744,10309376906721488360,2992314713879053098,186201494110027018,1756224557802393210,10861797855483673816,6134880547646666820,1617251999787891948,239359669943443735,7417873942397244495,1580067490100291420,811316220666338240,1595573405684393850,5449183455115516895,7407496317768116500,6205723532489092347,3085996435625958250,11707333308389975576,4574219947400654019,1868893744505290675,2993163000942611620,7665285918431249490,655700659739627346,3080223660956354395,5806082542394031980,1941169455368986115,2971941173937583680,4604301422312440304,2613800196935667265,2073653391149594020,1424687589954319143,317330202835191160,1190000926299616410,4962499261803314868,1687058692221700500,5389980079418962820,6804438948545728850,9449755835076287028,4321810995723750776,5540617837575560600,7753445231227525656,2903690445868640000,1469166010056334734,936637188729961685,303296015797684645,13166796826140410943,999288074780276190,859044115904263281,6467228215225650145,373938225882291870,2996123085756473870,3845890692806154915,517428708735530324,9153199251472983021,5245347528339236920,1212703527613157148,4543079305137956420,1098921930868429779,2090586533682762832,515773487978088365,3575928110682442648,10635133698871175520,1463320656959540864,4141659865656400944,4661299686111266250,10296637081354127035,2881681308877374875,2104546104552165694,9903959974762833456,104369741411410935,579838093744555950,6958131497969931000,603736361824599473,1325974892222494957,6262928736536474730,5414496645077341504,486053964450186140,148936819490072107,13404457138425777630,6828603712624468935,5220042387643942632,1455885245791680060,846575287476440682,11287791307936706960,6178144780974677360,6546763774719612365,2112178890984562440,3978412793973192939,1942596335102164014,577131363874459200,9204422969171951339,4081144448495248050,7825001608183706499,914744940746601265,1293360046232566975,1015893503253134877,2935268149310693520,9492273849210533964,5608275318305673070,1321315377769498830,3156386995010090985,58040522460191380,1451028623161669300,5324397277339141196,4458532394400283380,3440628011243037864,943211554899893910,8816874131139021,88169687505886410,2057314788961225500,12311510529501104913,5553057931563683550,108249543325415053,3247521169389966690,2796279189030694900,11296118573372824608,9303801550447185600,1365476011281746881,8679763654142980496,5689070339545314680,406731944870688415,5694308422448950150,1113063314052036180,7268170331478142254,2228687760747496510,1008257532164655423,8642300343608540700,2091538507517980728,6258241787687113854,3005844096765323580,1181839086121829324,5974370026136120725,3794074382644526332,337890711511734384,2252628985321307200,8253406307183291289,9189733234523081275,4446612084337829616,3374339022604362828,2889767297784030625,4259020413724646284,6089403452596598000,5887018674178187715,772511321851374263,2876939878789059860,958269364428506372,1647967459790926110,2668847493830116795,4684271348410281376,1619292318303633040,8142371249465980746,7129054056611639250,7912483186764921687,2797716815247701025,5866272056113408700,519026234418318913,3797307475133414360,154898900617005985,2788210294113189330,10682763149835774585,10023116566365078597,1198151564863896585,6656469432403259650,737052869364148932,6495153149346108600,11145169402506660976,10841400856820388000,4876622581317979760,1604094718740411170,512103527552646320,3840817949880920040,902993834549392160,1128754489988391560,1977165499562690241,6261810767850895075,7591521675124212595,9298682362048074885,6289723786110660028,7868870302842589495,1883490461238107960,1564192057478906994,1531806815295819010,1167295135641159941,2000018701798357449,1509435811067769480,2515500961745613976,1571636732143058035,3129666146697055282,5986570348455719284,814577163017119375,850639559711618145,2526032428641057050,50325200099875922,4026059609386811360,1260146767427859740,15916272069357072,265274074938348000,4244431184929958400,5290197284528197443,6961276702119086370,5344402595230398231,1220339303079787505,1194855591191984213,8459067362338886607,13820036536627849125,2402596648364704126,7027764167019857835,3619546455561485904,11829011045734014813,5050766000697686910,7148899441135337048,6432708806782741950,5137086100556863856,1820115648684963504,5136607994889426125,1671988097176601824,495501315161998875,945191036760294948,4740378641434977834,323376652854143325,1796556472616285250,4024522641692052990,9280064036311111106,2692695116548205808,879280544533063720,6251654888197466970,1491907670178690295,2284179819860535963,10572570260315048048,1261662502552449560,79000302502996940,948013938397575600,48026574832455513,343050694089579450,4802761957368343500,4545919263461957024,962717123078327585,1313800017824134988,2125167995613007583,2925376067334451650,2335959237388458165,4575906773766202200,5465163271024112705,13412149046124431616,6678771868794253995,5636651021575994790,518980898295805270,4085985686758136276,2323063944116968332,13047735406096804140,2690015232557626344,1293275216432409720,5237641171359223011,1099047117978264237,1549252842782179560,9313750097817193581,2867108068417818680,3493668121517632224,3464562515088102820,4759740115159140150,323450837170556925,2587634923840539000,348766615899515552,1190989042679411773,1149331478002793325,11493440205890069430,541589423470221900,926153077947563196,5932890211890564872,6725629359357574380,770748949400270316,1059135505926822615,1913796872295888840,679870302124471498,1006356042966041520,1860504925453012206,3053882429966007370,4416065435445261724,135024038451703518,900170094251747800,1352893646477033814,936922626356649820,9219536990109248868,2399142565839812262,2932023233999475105,328983301598911232,708282226241937450,4249739841746780340,1572828725986240432,10927265385068639075,8657840914788764058,1572967719448329750,1047431942723314989,2058146012754955608,3381513013367405880,582568530905490155,1102913454251396515,73478567559706344,551095291636687980,6429515484883018500,5253540707244386140,4851698338290271770,6009200803605479103,1896829611233571830,4514074464899586790,755067189254819840,1510150929780121600,4657301817488705155,7211390377859316025,1514482301124025770,7597158280034162296,246640154161306100,2466428590715940200,1673565550698779896,1552172249158979625,2700870164300998746,6761261450202746500,7404348543212567296,11057968219266577320,4900831074031987640,6146812482688924545,6353946225001065925,440851567121954568,1102141018825873020,14156634746936744010,6227014260390274932,1394537626979805315,5388074469885147208,3486739672990984048,5056216024034989350,3316743002687869410,6426532414834512760,793759665451777825,63095477881862195,757154057371011300,6309686509343178500,98773778413232800,790198916054030080,1201544251467160287,5986038672004913900,5411066613020187000,2782096360778741700,7433655760122439590,4149942323996720106,1232427489032047060,12931457212326105459,1152947196763556370,3117956206981820841,1256315099804299232,3131254824303700930,1479536167832109283,4947665187005553320,4376726197376334621,3294954197485064888,968174803415681120,460121264833678964,1450630610561208830,8567082695684065734,267916667652069576,6028191458351048700,1189563286946219484,4072241571334197450,1872291478516580275,1099293688407720429,13862937460992270300,2448359542610162466,1213502476510243025,9959460469949113947,112547113432248789,2626128285897869550,1201068221913530428,8950735774943539255,910759173709439410,1721487093752156003,7952987760953993235,7668144551417874440,131303078737061660,7878271712735822640,2100032879361990368,522991862168208805,2011103427035549324,1202245430191841780,10009149190312760453,1051838393037007869,9349777916113163600,2626430515737205596,1576781721750534780,9469288706451645411,6397867914486903984,1207889660254008550,4190706135767295276,6127984036374870600,2273293773161438742,11465009491860489744,656106672977461800,7873367172643424160,3085954985949113040,1660904664376127948,2000426721791867776,2183427622630421960,3651917211638104205,1999034893805966180,1077167390174118308,3287467590700656685,1892805315044866530,4511473106179698548,245500664095103105,7030637270513783112,7258286144725407080,4767050853625911100,3535853022498249796,5750162251482087750,1133648929164752676,5038495526080628960,1562093381203395175,8604070703719895118,459073037087488875,3060520847246303420,8921654607855872968,586475761738623075,2345929065356819580,694633861431008035,3843303215412621516,896771954986130664,8967819051901256400,3031448407504400052,968583946300667865,151082961381601936,6043385537070477440,2495921518069454280,10104516270316776553,1473417777956096910,4395411462153813845,2722879902036725805,8350899692258380425,5358795311602888194,6287208660776292750,3055273380354632292,723879580339602414,1863641404459268000,8606421202520853090,1224034782633631800,3060120973099010220,7764883147952848197,329117177820757890,2742673645673936450,2264245513577280645,2479904903196603452,4083632155126531719,5980469275911690420,2529095621533525010,2291272234200102335,357896292835225704,5965004596423368400,1781906561416423390,6146456577204372150,781835938574404940,9060767605184705256,8168155477917462549,9522045141758585800,6902102505786215992,2967899384040393500,6666967998713661756,500094131456685591,1428856294828306500,4177402196138418640,2812252890876549750,13793667840381161772,9048099040936722008,1884515806821537855,6689324346960929682,754030846073630545,5385994670779738150,6539722614524505770,2302818866190921100,11607176666813526192,2499281824539345720,9280235579146751154,6350963170320663155,741031443462523770,3293509836119215440,2770867245467926600,1234337076459153872,12066722437331412152,2656744281038478435,2904158545422951345,1720788210893654560,3440411946398163954,8009673685815569816,3278092353792097200,5844542474747507128,8955437130526585950,2422121984610389670,666953815345242282,6669612690008984100,287628885562909796,2876321006657427400,6158239970061355792,2725733727899642715,1196786354352996825,4615709020792091995,4026751507429174125,7197126485234052078,429797550001895660,3223517686411229250,5110522450829380168,1223278061247521760,1529114687960250120,7626628846055020557,5709334548835365120,71378606674248633,2141382172927804650,2477480754865369128,1840156667958471525,2096748311505376400,3045751534739437566,2393665104979145725,1843004490135858196,6328431656902656294,5392357569295985600,3947091375043732686,4251669803984041120,2319885067523487548,4260196217788239388,5905232697454973200,6101199860853674552,6567007559272182450,1522959487780287756,3074350451027060853,1296425727529259600,1014513778464150997,674944795745349040,3051404886341034132,6011794900492298690,2923984648609615305,2207944130920882656,1181488114039839095,5359049859811110211,6709188005007541230,4741903022716336200,84327141061455160,737870769993568750,7378790566342695500,1069665210125137514,9800666382885643760,9604341463033029752,4775048189446646925,312781924794692256,781963599064293840,10534368649849701020,5885431136452305151,1028316491121964650,3648329950746271023,5377179078100134408,5340523098593588125,8458143739480069544,1031404014108020405,6728664038527659872,3616257673132699595,2147486848834370075,3411673201017013572,1279823732697630860,41726649195886968,2920898316376802160,3044457224003165250,2697516086246207528,1283533175867923800,4481782649574734872,302591658311191626,7564876646906070750,4591173253729406565,1286978202964952225,1896239450061065296,7120764827085823461,65245929974071900,163116662929932050,416013642067355480,1560068740126075470,1850524144350112588,11743112796772922560,4191893031302629227,11993334451084028640,1556451989200166322,4395347916082876398,874786493603604790,1215294683665670244,2195108594479865030,5997566526698997776,1559024730637201702,5910209078213420600,560795499644044693,6087667820566400425,2398274724590948595,678360239476083465,1938193994263039500,427897061234665884,5039728373147407695,861088978524833357,3565552094788416075,5689684520211838370,2071417615535968335,5775778198905690680,2703652521044833758,10025587236563494695,327561684000013580,5732394258346731430,290636639639576825,6633316387488121045,4401264636334074614,13934492214947968635,1264838165775985723,40261164479007240,704578347242249340,2013103762839548400,4691731713441495600,9000754099258124328,575377271175840825,2366218934017541113,1543401509924417696,2499735315526053980,4528512291110289573,875336088942401995,853439571331907155,5709442283058099105,71211394519581930,237374003302723780,1587382524691678970,182673784957119925,1826758543667224250,3946398144232533360,1540894356105183288,345974605560194365,1197676467023233632,2828048240096245738,8991901892393618940,3058167025966795692,1324485340907388530,1205644871423698824,3862263071652063921,2086995205340420850,738583452411729867,4258163836240844600,10470210944577114906,1142076692802241546,5815523276821261410,1681219384483500416,521114084551354905,4228597710157908663,9225332909554023528,10362051476175150765,1799923701682355316,6694064677912996100,1487896310589916544,8938621007125456928,874882180476445560,1093615147980904290,10168164447803357730,2103020008987453647,5694796204615251196,22292363234927890,111463082918135330,6687860988159753000,733616769300935247,815139010248800530,495393696571682750,7169771897311766456,3175053319078603125,9888882687548734716,7513989193527710770,6404205170990956840,707155628501200305,6061402920288883500,4319328615300072738,5711130382481881068,99110607151053270,2973352056416368380,212724151903903605,3823923122342858633,3598912501262031685,5242793613397702140,5830046666391810905,846835733240748150,2144129689079543536,3702529077785556942,11466763816057079265,735306905133771568,3676576417375740400,6428451569959101475,1245220515374317092,1976736176312490500,1387549044364434287,801984663441917050,2542339820498794944,5113498286796013125,7502701802724309480,8831445955969135470,4385199239605837305,770670158927206062,6422324589207181850,1162175974375392120,1422306193550932268,2750712635199341540,766751117165371578,5367040278242795104,1531864411772682960,1333426456678756388,6140756484475321680,1988052684655520624,1578770654249462639,2695377641481717020,2473060962455113788,8627463903446052210,578684095131235764,2893453532923936620,1085037074837347450,1550070676891094420,6328167711209765375,5559131226725284,138979869279988100,1111851664540604000,5989470652727592035,6346088005295490795,5784643783717790375,993344717929492326,1548840286585930065,4415579210745023069,1562416394242964105,8323809657004841766,6089411986269551010,2210911487481775390,7814986940488130660,4177379932112317605,5075549477171959128,33002278133027132,1320106238759221600,408680293551226242,4086849733697885700,3865568416948799808,342951483736561788,1193996467888731675,10613423518341258160,3048775515188995500,9457877820754405749,5977597515725163454,3771094529204679450,13847138137674935289,8020222938049031465,381801844280082883,1307028533743765496,1236294809408681160,3347433014839472559,175583932720150275,702343786091443740,2429208619578635986,2444577001025174960,1473355298184564547,2951697213436592310,861199169489940685,1119700968727611672,8397853647358542300,9356542434188256692,6359065396892609040,1471193518756605992,4103467183833495504,6870589568478981450,3911236311028632144,2637581918639904600,3616676525208707268,7679711216716828422,1245804589264697190,9689702578892235620,7086344075581271040,3658698228349694465,3946272235307298664,2585212620849007030,3693720242980034638,1585367247769971315,1072431078760995034,3068798694324661085,4167468153458311065,2457752391734040732,6043936457093890775,2015536987968686186,1741020215004581592,5273412244176238825,3147799455415958556,6964978585955544490,3617487648593042032,8135455072798015788,895092378679757700,5179192655056261225,4300846264522235000,6177789020692211715,3723437843670751682,569926450881262435,3799774886930260924,5314915895549440,19931164214517120,597941815377081600,1328774900164480000,933213063220080084,10692554630706365795,5129727818863530155,6079402981553988832,8863185147945133180,7893301131450181395,4610455925625929205,8945869349201900328,890130676602226347,7912363938344798800,1170460940148137526,2938959291169925160,9123539569789639104,636638969718912134,97681849724760000,2930489310478504320,802011979632505950,891134707792392580,2981118685619184435,871549703663040240,5953141065407868670,5748361098335733045,2351438721053427800,4067076523747263327,7990295469934024530,8638423513099065405,192377797235450720,6733300698844842080,817055557903797758,9337885714316664800,2930571120793149995,4439401157575041580,47988280049007132,839804609531334510,2399469483615777000,6373272311754801943,4741557554044558500,766755870148101533,7991929987683752676,5837154321708398700,899978490056155128,10499870530645769000,4464576172630177566,6630124911487175916,13915689438547235430,3617005721320149399,4841977632965862925,1077533810409758784,423624804399578798,1068064262608281630,1763936620398736623,2254795021462807110,1479244050246839704,264886676956844579,8517514393584538680,4566629128295767248,980973116472988515,101421831311745048,4056920267506384320,2546474170481914920,144929889119530240,289863138400140800,6571549725904181845,3277851698606850554,1513916010332878650,3518576918086649412,6995213087687567000,1643766424356062890,2372807935473012360,5526242612353116380,2279500691944010652,305992589667775585,4426267716994455507,3453673597949462797,540449533039237935,1301552072676033102,4677329854758248680,7649864518230898159,5682438215608749056,10702437626348721960,9244800754066960407,2291680949266235520,5200535741692679504,970681560906850416,198370509210814530,5951184424878120660,273318074450407980,9187180916535092632,1170829269205105629,5131742867826561700,6941660763935253076,3259536084571590800,904653452095140298,1122012497585786625,376944985246370595,1256497897929460990,4410779730704152455,437777480077230331,1207790483944483528,982792905639844105,2224014497850326524,49382411846819590,493829865880241660,2116438345351631400,2143090151432633220,7228169672608271772,422268259453545700,2111365882173795100,9411655897261767006,7569549252046517840,9215108840015261430,7639631338282673135,8413381402076717544,12060989976744643248,5750021090079425600,7616560320312074892,1608581996332468125,1817692174259713911,10423072071384976616,3111744303475197390,1720118164356794844,5125818954871412420,393031638308827206,1310120739773866620,2921646510451989040,9025172045853291666,2574386927647022050,2353044973998429822,2251931620296380904,5820826511923671700,2170110249726255916,6016114310778348255,684132769391171412,1496251258792280628,8172885739065278445,10373252680019547045,2129660569609066575,3263682573820091004,5458111137623632216,6714638946387900500,699209486037909018,3884542525201757500,12832667684027124444,11003232121036453984,13016470355041361895,189934823762775143,1253861365191461420,12390131364348217032,2428731389428838442,2084147823339205610,7239883212735182656,7839795683185009425,293173856948524629,1954515239341601860,256369770840899810,3910622756011421708,260127872703076840,6091200234621501894,3176765404870515120,63141252221615540,90202844595227480,4510195020808490000,7626401401974938415,2755327218934245648,2173769414606875600,9459998665047381514,4945393071032741400,621888492359383230,12185323904488091752,1909691037113262310,182782114923550632,1218561709568871200,11680417884169522712,2907328803403719339,115106726796655360,4028782657456014080,2988254825516184015,3094573749368313548,1247872863712871538,9612747268664146915,4161460194984899784,5306650793626453740,8204877909871297065,3551028823252923135,3653124880747972175,6718720662095939826,705563402370816330,2351905605240125220,11944285563038896928,5851762719452724825,465432761196899274,6205842996726842000,1233950402993668711,1232199098150262093,7287332603570931390,2075972591238664478,858978183503984080,2622469219582188340,835052658941163544,1001531611985731230,493979726790877782,2648999996620618605,6267605607170830545,5095013753639119225,668245636593233260,1338103494372303792,1541306060020151370,376628546232635517,6277216242225040950,10115292862732561945,1333826168362067224,721692840892873905,7217013296089514610,499441025662797270,1664823004409192500,3494415686846508315,708314610713817700,2937297616018215984,5966104115624996616,3360337108657071760,3077718628818939102,5147638246727926110,5022883833210691480,521855706305980514,1826189267283098980,1390775414687534424,1208762302532064280,6831113290851728991,937028430122026896,2265444353128880355,3605079333980780394,4523284762074171525,2218285528597089050,6265624237622288336,4129045079185333335,9568290245296401774,3318209353995010410,7676133952411742770,1063878252251085101,1113081863696397400,138840310768777352,867762177216443750,739254811642236645,11828216521918337520,495863155548656655,977199415781375505,2199918588185268930,2454995912610003840,733154767402972785,5865307370776627800,1864238416295774565,3869570869943507540,4586279353602353862,10338313324983619728,659082653139471540,5481275524590616803,10612074208242102360,2807246317562347210,4252888056010017935,565813876400047925,4470558451879130855,5004860908366207875,962854099201166328,450580998435692193,4505863245313601250,1210992109051254855,5837082415425402925,3183793518768079080,4017129853067295440,840180055873690125,1867088873047238500,5577462229951253100,4951069791549144248,2519785890277155966,1481019005327200505,3608837459686357171,390547676574550955,3644108895276521340,7478611509761501408,5625736059155202300,8143503398668111236,865259827648646620,1420955216622654930,6008051838236154448,9249798033603112960,1328631193639988037,7510700115524376240,11185687651150225704,2547630204310424324,237530083081530400,296916122148621160,5522329688284368700,2193850664357837644,12937261276613644506,153741731860612810,1537435544990023660,10659490256505213760,4302934582799846504,6904424133678081235,4395578827038775080,7281881722171608510,529429986473780730,5291800657248757295,4202746220453833136,3895347124370716040,1231300856076126972,2779774988604891990,13096641176002354572,503174496054960662,7415593197562937240,6623706217190550775,535642313049803010,1178914702764209154,7892902649796215499,457129124397715575,7618909232903537950,936231895756255175,5667637437323245020,1456277582012470702,521343040557478910,2035170737263523274,640896442062249780,208985028338236784,4179750248752278080,3656326573007860360,6959760161769861120,9643940603935704640,3720070882879894452,1353728035025117125,7405150525113747870,1969058651266257915,6118028626995235825,7773428613643920521,6274364948349161056,11050163591837660360,5486571892815370430,5745980081676040280,179345641731737883,1195651843515912020,8468392986037516175,971075923869808159,520583532117163800,1165778715703390152,11657925987644292720,2128395248058950040,8567137514071250296,4684537929689264720,3502705836254145078,2137682985012937814,9202291091232005120,749806237356094638,4556651636628397760,4632919855544071385,2634049278365210030,1807883786913532920,9380821324106141518,6143376400785484380,3732891825252215648,11891285275139412304,1665582774933415485,1564510750400364502,2925799924181040860,2556579585631562248,94879094683619208,474401134030749000,14232203857204059600,9020783058219045750,5794898806380896968,1766863193221282972,3535914192498190100,3557412873663997740,3772022571711526100,11835530917607985160,4347986482830200679,484825947530765960,3030198365940582550,1289804608855274105,1233933017832101034,1380184089388017352,404916661098266655,5398953331948767080,5425087577363210540,9722129522716921492,5830431032774207360,4755479788612432665,3076511541715926366,1781729082492099925,2678477117637146756,1291084828077323676,374507214521284000,5617675411460842080,7051854614715631875,11037377966810084656,9652766199069950748,10638373101657790230,2059429017913796607,3014628993526094820,252579140571493527,7481453725835083832,4195902839601942675,5044344670557336424,8856799678416462570,3115452350953703397,2538458414306418416,6228658569175094580,10038988786989981624,1413340093100810405,7035396294019509510,9410223910109874124,5732337017302289920,5614230287105753516,131973943440834550,1979632878736261650,1881218436931035328,3042425600235840900,4969198199683082792,9003844854499031075,673866167114598310,2695496993662359640,5994598417402471680,10161905942067103692,307186547568310670,4607853492795077490,6237880553708722986,5948448388108413880,3252669517688763030,4533615485641336535,559497347080415330,10071073134853853940,103195002767345790,4643830876757543910,1930329701368020225,2034386440041891864,832278468659308872,1957577860751421220,1679524061577959674,807983983599080295,246033366293671870,11071634503971990150,9296063430767368200,480129055084390939,161799867035095350,2157357489755809360,2210460966106054438,12026641100495428160,2838594287961124132,4382077563739549620,4686245458405448080,9902418806024631285,8481442725952154220,12625612386715918044,5181646835415582720,1104522484574693560,1852144028604575307,12588836819567378445,6269683531232429830,4191852921561652815,8672136574222690114,1246413768433156743,9251561936767928645,964163374348427292,136033461801850005,906900665554230540,6753971531123652290,4637387144810603400,1361391027486053788,7028476612520934400,4955454206947765890,897904140449289735,7005264943337258475,3823710708778353978,86165971381401660,574446732643459920,957422761332029200,108930655378610950,1089319686280602100,5278809907278563715,2177927707219616474,5347008924581949856,2520692313044396320,9151096558605886686,5531799764702790210,7551272257126680330,2879492325552057046,402430378281652470,2012176171917372090,1690208726305720400,1370412841760976986,1461578189189885036,2815366253029843800,13567800739945200786,743741693703616875,1067752285090503026,4491618903411391496,163686675804559030,6547546112744125520,1331722627038388650,5016237921385192312,5970844332254277268,1782395375408393655,8145285260174245757,2927880757399617270,815737809834306216,1019684586987765270,3845712556435420260,310746978998411584,1942192100037938000,4193859715506815508,5569781214809521224,8462539491831598290,4086367774305461298,5273736388191362760,2476647008109660945,2331004650449814360,11888360377193554875,2331989311231211130,1478233690554665050,1784944522715166964,10212294631506797984,196691406465389040,1092743264264584800,1777547675440813215,10315633567270518513,1242816591961276732,4542072422050790595,4816538602779874698,373162743105936450,4975563512362584400,8640799646958032982,189432367776691545,1894346631030015690,7674975452235036725,3033757693208234703,2213104419371313776,4518504745302888690,4631453173920400152,2980368478220225155,2142217977859688736,1151268184179250254,3234684160496828925,1222227841004769312,2662127237825192550,3627409115129688100,7710663308406147915,5818878327184724880,618681854402874999,4219361790327641295,10508667351581310576,4025381795347851666,2679195417820052080,971522432987304564,128235530897447675,1538845054033618740,5826945567359675094,1348973467011942840,4496632832360973360,1291795722477005270,252858514666016538,3371487818171198640,1380494145356930325,11313611530887737312,11136198775518161280,9360810235321971776,2177970409703317092,2654029385244045900,2337871284318558942,3011397908943558975,949593170612122928,1560211995069788078,8798881616655504535,5649487294894378516,5488713778362443960,5820508056094927992,821690526593081844,5478003486344391600,1885686515507792512,5832971080631909900,1415294499320029146,764753168328162059,10169186702196041520,1552668533856997529,7076718629133357210,3177166857005983865,11002746153694068529,10963638967394229160,5704986712979336916,6148608432241605300,5116193790229380105,4667245359938671188,290321651412982700,1308919224733966937,669070084237857100,626592630733844712,7832503334753367900,2631008409739292010,3198111296041855088,1617578717404117220,231297532153628850,4626007043353137000,2018028302298086525,847051801402167504,2489445175640208125,976266820937732485,715944208176816138,390555096798502720,1432700189889824708,6280107893017484480,1471577957742325596,1091446348858421733,2692768230190435560,7791352243472584524,455634743946390120,5467528293269423512,910747898806331612,10913569776896572400,6185042646945719172,6893529455893535000,5141821909454942360,382772116520277008,3827767922192914400,77697942422084,776988917020600,7769984107946800,174826778747193000,777017401265800000,2085320908452022542,285510816872207420,6300451579801633395,11484411442236495064,1594955769809105730,3187502759945337546,14233786181462824065,5836635715178051364,470479395180996822,2271709362259274865,8341353532180878986,6747901498424419785,4467074762724676424,8568083641654467,76161675494450000,571219557022577400,8568398228293575000,6175326769942156580,3240662913310686063,11070313246087230780,2265340472716554638,1271007102776205480,12710226678819288240,12230510917983652248,1857971916992673870,7874787486451249290,360636147392110730,2491943699912439708,4810847903691268390,96667949292714020,3383419688900900740,326611178421491915,2799558701112751620,11797375976814098224,3086408345343878360,1333326225887861688,283845369150707180,8699264383626169703,5029523436352380972,7017668529324812875,10153183493090044368,7604659512872024875,1693993582652233282,4417221277847907945,1084170939069869865,8432544117167038470,7002007330879779080,2318866259306849775,2691683561902201972,2763246785917381680,524237736179020388,454409910571068905,12168850464246135312,4516275422675947632,4571762098816590960,1027690237965395716,3892594154131397260,1393520313644571996,12386999416958969920,3355297517235088785,22306142574811458,223064167013889300,7807341799570490100,14184063307381815666,6969371240445007125,5843162790668309930,4611021831942835725,2006684068829545602,607305946751747632,10627984770577337800,3262289326936178252,347617808686216450,850127041166469234,4250687499302041770,12576939578291363580,10824274606216982544,1703223386203481390,3735324020719444125,3279728926028621682,676601842454430555,1898913374949609190,3023373368986347150,5027855862079605828,4179969877400953629,4640549350932893160,1274309506135617177,1054355219577962640,1926755410769683188,267366737588151570,4812660568435774500,4457098300744814568,7029479427061110075,9963561247877366402,7295753976200961060,659974998910129065,603068970631816637,4960322252387545460,9780473843057032744,7330441485458031801,2671401000594852720,1839827031070921210,1214283830440492175,8675095501421360487,398438450422796168,3984433658112569200,3603612117771185884,3071052373323100575,2617202085027287216,1236499386283043168,10819503164064379400,9738819740126933667,2475808484388179840,1198727037298477323,5647684874507782631,655799524621005000,6558076229127594000,1056266722079178125,2061004686919571916,3245319708588935523,1645038716958375760,2753737439980654662,10730715571121320125,1482630775741027246,3070615170673392798,3904987802603855340,711170427430033488,1185298696804832400,670593214491192193,1263652135094122504,6246496565700856740,4953397683526827732,2401107967575065710,7402109815204241337,1182733830593049875,3071411499724172020,3863905492413870594,98375710314701660,7870154200705760960,1005903190018635496,5502277255621754250,8272336011367092385,1266584180890529850,9237555920200096602,6094315079700401646,570266894552892420,909154873719259191,2204509170193021850,8611653287642672904,9417395068493501472,2628772819466509570,1081028494286385858,3260098737884257360,2637521106821777634,4008732178576352625,27365175315714425,2189241155493462800,2277012088801004730,992538455737502765,1160947752768297507,2694385298831599040,3090712679694436212,951244111731778760,4679649447509296194,5626561653143310024,8964731319775443100,104282987221340080,1459979931572428000,2437070885295570395,554755678930690279,6340143569911694800,3063701132721477456,5599835725938175170,10729543664686328440,624765462115141022,1452423678075886445,1244817019272445857,8298883163906238900,6262068296035453752,5074900628487624684,4190361528328499475,2917809121724399128,1212304659589057110,3375503129368762952,2044403324805595936,4412348152769569810,10552284024559636037,3434044783019908525,2840386466967368916,7683039773311010590,977664221107897925,1105441705262875632,487303922002931150,4188781198752935595,2685191924105109545,1276738625897082880,12697700721129994888,2964929095702472990,3913129088918775999,6900896094239051568,618213033166577810,11937206918581425176,1061880825957595430,4612432848394926663,983855417839091301,325976661505780880,7334566179962069160,1079810179365068025,1542605175284365950,2068471924043040402,4486182151160389680,2160912243836020696,4838661692499839080,5414780328661054338,6172130841694608450,1383247933424168600,519320192204145748,2372715711414847050,4535957600198249568,6976672601908517736,3460917616263097320,9019990566911664832,715786007643696015,6362621606578308240,9334396001399490816,9301146378308711080,1721690506296936916,2210677058672862440,11652633774968026192,1533406103986557429,521376282412869175,3128296719211210110,1660726058013914780,1528908871533405425,2916491029827040478,371928024058845890,1040052076474020948,8003938947640920760,2848349745843292628,5218208604133312788,4190831936277056250,585806463206247078,6352964236962029250,1979330539817961288,2383325876503946832,6896822398996121225,4975083086620700130,1755350988547722150,932897309112540654,13588078741190419401,4192102683784754010,587125078600935358,5357070728298990025,3343006041855817092,6173730961767615736,4137001183190153660,4453993208954741232,5115673832923981300,1261870916098164428,7545516899076797285,4140312722833040670,4500065464178281722,1197750326500415610,3168683383210084712,6083868439288488384,2408020313640253000,6708008855927675032,1535060285557872500,3822709891039004448,1570332163910379987,3901637162269024965,1216905221508785916,2994812906718321885,1077576952062090868,1173441908995397734,3189316662635967630,2571214064071916055,1023242608784830815,1049351062052724340,996435522402824358,180647912622688755,205951000473287167,1835859982414090060,11108205792856243264,4322175158336887968,4807149414349692120,4880800555004205714,394241814164824875,3942467568695769750,336033221924327332,476735050408783350,3178273526088439480,13361612021381088675,1757190853500127084,4765635799762401792,1416833753727912730,1361700811287085036,2025509491948914600,2547857544985315614,4395642221617007175,569181975361394465,6505018507582001680,1012107371901347400,3795450290676275850,13001147328869594037,329460534511850835,1830359286185740150,3210331678495189710,11072478096145157584,2063733573559690984,4983988142253915410,4292755579618809888,5999910513519241440,2190416395350866872,6724688056378156670,4477723863203171700,11151469269423118167,13674638610104410575,3912932056081013355,2841410629808391772,4189669058686581180,9239221119948028928,339548748021350835,1349183580931006856,1630071907430368695,171943761940077540,573153082573694840,4635883543324493525,1264405962760779965,11468870284465305544,3047962796070452260,6608013350963700184,252239812114043925,4604167723589731795,1200368935507235835,1584767880836126270,6069247685912154472,3032869877015390020,4701926355748588344,3800599019150810891,4994264717526362200,5750546180721043924,12498590793133928400,10865278560483943479,4299782341363279715,4133368059075982125,5496551180178306105,1381968413888921280,6028000983245396112,3046961303685574618,1148978096530873630,1381046168276674445,5800737261020642925,1550485862688700132,2688893297646524112,1884940732981019640,3079093995426914374,5861626240100833410,470684245588390092,10982770939521867080,7623591553175603370,5964061240620320916,1962821004930257820,502542259921316835,9045874837274593230,3938798516923805850,7031836301798468004,1007789817878423250,1160516804465720835,4312437414611898234,5446784972944413910,9602350849975811256,898744939626571240,4877707430242195825,1268918424181926936,11279417362639043200,1279729740435359256,12640498364307566360,8269638385218849426,1925397546487983204,23666713353175020,355005187023252060,7100193483838494000,1846673921781127839,5391105819440524988,3283782890585628450,313957162243454576,10988639629955279600,10191058303119842968,4559656324912752939,4645853592442037250,9324781383530356506,997942585282419400,1632128958718473663,1685358576835433112,4534873674398796105,1381208169610046946,2097456462559165665,1159932995206760292,2972834600438918511,2043057223010470380,7894310200878529662,3000724270419314970,512622354241756072,2563144229579536360,1594512762191212695,6070680952933069212,2996210113628187540,8625317417666033968,1162978260445837394,3670636341180451815,2616560647989910512,5648029777106091000,5825384275171348134,298940877610702880,597889333740664000,2338279798777712842,2810820368504089350,7390629412320769940,2811277619503132408,922278403105936620,2941844543324244194,1115294843786483180,8293976194716487443,3747685229000961618,4307529123683386635,10715421528302425662,1752876638188872630,2240676412706854815,4219411782307785384,8345667594928219290,11296567304657871795,11940189470256409695,876135641294880404,1173448656240440398,4071959485017634280,2231712479643692888,4743889401644544780,1901417460427001319,9161432776640369802,7518289599190295325,3013518894546888135,1126286363793651200,4223627529079482240,8737168837952218664,11292854890271769135,3961699783206138567,374574223119748990,2689670882914449490,4540523826037903256,6046747644170626715,1855127104422814035,6859037137315949775,6202072043673915934,5039787485400869190,2276397680413463550,5272761363490312776,1046364017386671295,3355929400601759696,369169077383398235,2416962281071794300,128441375203797666,856286732212985400,3755571279419375633,2209628705814301708,3556589383689905125,4872620789700990466,3805991868110392800,5617731863747355273,11431475572194380616,5818045739353669640,422895235331823292,4229006219570903800,5676126734110733004,5752154489020528340,3089473819103645340,6042421987151445738,2218559523204649800,9824758276678684304,5245891939603855365,7779867946575282540,1242798216571736210,8401221913194935670,1165073645954815142,1254729217985804379,4865584333896810800,721478833442422874,6184183157191486200,1357266854005100228,1836794895174655280,3712518255068424400,12879847837452054186,1472509547506307500,2534913836364805929,3635217084823930737,7949939817160494135,4853010934682065350,510466568865470200,1914274069927460850,7830421036392644885,1216125131762348885,1852655564068178058,2476474662518390750,10324491023797428087,2126645382675546207,4547257441617790410,2316808350817062996,348249881415906605,1361168799188760240,8937576792311545352,6163755903464832320,962639894674222283,11202364942633130175,1556266945163027571,5576838055289316855,10654198678482481500,5408257596454447581,11743409909493435150,1233122225364215352,2249247487443623695,5151001823499042960,274374300121024768,1371889049113273600,218841229849702478,5246614101707343351,1013134664197175845,2491653605455144760,833682819529054525,185464872034400907,3709344916838857140,1365501293966008155,3240686643758541064,588660001803914200,735834423432254650,3742734873209374624,6642053864316329875,2192196868236072030,10556542249157636910,489245020913173863,525968372466738369,4508358091840480500,5453478910740309640,1271978158052286550,7394139384216039965,1006256216249920803,996802968515928280,9968157451527684080,9749308113567487080,4319790775840106528,9309051621695558192,2760368194798581885,5850853448188133632,7115393401482532320,2591871902725528515,1827546903912884385,5094153744880621820,5970228661649281036,1410912286882531305,13416622655013145152,4065478052612701779,2609615823607443720,793160371507014784,2636628420113978115,3878621519025101996,1444079540688598034,3180729020012632200,1526534004321945208,808221478699736675,151122007915011315,2518732478245707750,654717380057382105,1727905465858924851,3761378138793343660,12339951568532622135,2577394986826260666,558760180915106275,6912104213322152739,8777411059190248930,1293152681892198303,630123178659213776,787664098102081300,2900226395240363256,288520147190440095,2885238568631642370,908383915720781978,3150769475489895375,6897093027696209536,2350284162275138700,3166140906330203421,2739010201190415432,4383741127642740500,10546482904589174336,656393143403059600,204592266293721534,5455863980942468640,1960656230294968900,2829713254884752376,1939266651917281560,326435894965282644,2176267318529039760,1239176302493715690,916499344099812654,3388962562051122375,234511419054263715,2345144396190672150,10332294679098734090,1776256665502058718,2706541900406853330,1350316942078335124,2904535546819493184,12789114994596010,511571192723587760,11510500191747831000,9230248818366333498,3671546658804743964,7995270854849905375,1532636088817113891,668841665370069625,4777502073657377950,6071637605597797980,2136332550165548715,2073780335095908774,1930668408539190880,24922117051519062,373836578878659330,3738414024496345500,1877338880892217028,12138912079905495375,1880436385096443426,4335747524308186701,1591304254392168830,7220076893500656115,14207706769957416630,2633876925324340002,1537582016843089610,8804569194344346930,1225828276751044998,2176282196414970475,7958614481482441896,343757489021108799,5729365500668031250,814311711071786396,2567307876815851650,5315091626444411240,7860365319813783952,1599155826007100130,337717425950098554,483504666949864230,7252663763014598610,73149429544941780,731503753534773000,441350042136035014,5387849478402820065,6972768188010731622,1092713383759026339,1704170592892452880,2088115151510696108,6330511467045659920,11841817762704569408,2623950632659634488,190170727813321980,2535642519160369760,9085066286793719010,1333507777104201082,1638777972921381082,2930969446231284900,4469189214708655990,1792578466446720750,3682797292359185780,9317593940524294360,3100951487664119720,659190945063391804,473442761441342460,1578162982285438360,1304552865611702381,176836353224608670,1278063488550218936,7988000317517394250,7490879223541223705,3526131962813783407,1267565706083807130,3527328951910314369,1064229192187932225,3118269037509026574,1483185790241825228,2451900829937550300,154708148492998422,6961956974927926650,7800557446544746656,259800816986567184,7794125620240716000,713079713126251536,2376963217763452000,622088157130088703,4181850503292873411,1067483177384889110,7144868247997900714,1105373904803441060,699678517942455707,560442118222615206,1554211697850817290,12011025174857410842,944775159455161560,10538871257773627426,4582474554827662168,6303262186934747335,4792517182777708975,10771463881038226275,7234690376830687848,8972037471869459595,939089058797407740,9125869391160274962,5804463646280427240,818069285546225386,1203199846937895645,8021436587813722500,4441711550971798404,854757719975533400,9616149386105625630,8220713647960776112,4949919527997494960,6793871016863370455,5689622417891919920,1347357601177513952,596700300224448792,9617216010494431255,7755054267282852834,1136736116293914950,7691481756957961323,1492564634238641145,146009035057066805,10220765494650162970,226185887176770670,10178497435260886290,162810619193869292,2849222935605170950,6804846908348445712,4109854780015705125,8080291790967605928,4702101492529117696,8382426975303134600,7364198350164978468,927542254099741875,11925698653770870150,2593809373654875964,970694197460693380,139539369539251266,930274588666994600,715582252965358039,5007056020010567082,3561621804945164800,2730185775799120432,1154038243000222620,2505461195120258632,4298859487966308681,1447466470874569330,6369733717978026864,12884673397666710465,1433734349011733282,10182243916527024524,263868090111438475,2110972266695822920,1784855235942002540,6206485687476422040,9118712738544797864,500393024780456500,5003995571105783560,6182082238183837125,8723543277431184664,1241117016959748344,1137154809230983715,876347370248305851,4868660089274796750,514416425486394438,5144231452922166780,3624760867418737040,5042027559650986575,2938057792257758520,975750055166920138,557466841164458244,5574741269186790600,9897724704310395880,2192744779083234610,10389159793712291072,596928291535829712,1989786987410112800,1133854663453394168,7342314603522836370,7684169467423560984,4651060919257654725,6027471953106124650,2657791762506526604,3448650442216520100,8231244694289449803,3271309152633345645,4951068691904552880,3299470615480014807,6656934738435365900,1698207453555220608,1023159058034547238,564352522405456790,5668948792714116637,211250135410319875,1690023212177254600,6014923496194823388,2141993059395963660,1736623343482116670,751618344002640990,4470149123974293695,4416612241510828175,6209133840875614200,6578378772404842390,1590447215779794360,9353493473368346001,3618808728088520320,6332249387168994400,5876599384312961232,562209674662826775,787344459778246917,8103089185712878472,1377266208100836060,8205620647676900604,1565336389152027480,1379927258692649876,905569790392249632,3988134443862984100,2398402758997727936,11089951002360154680,7744481633540071856,19363686540621428,677737922679076700,6777468172773411400,97168227112750410,647796683675391240,1079675312338113400,5625429939328341650,9474430396652183172,6414151895009962025,1544250733983076593,3736939239788620164,10256806931067233000,7682554705423129245,2568792647301929325,2008268286806403220,184260594915008707,1613151978827177565,2076996143146893981,3321657301563800290,13687201891869718842,697820364961866161,4233216861507386480,3637356837771948808,3966298221704859960,2578981283047997376,1611398386740650569,6410678011939037060,7575943493604941965,3841069883768216610,14080509612249257133,4531707055389272084,251590500380169210,1677292068676233160,968204789670292790,20418985600659282,340320904965552700,5445206138808520000,2136579689990266968,1678601241147328750,1187203014947706642,6595659132829365900,1159245307340141440,2570840233048214934,9390615610706114010,10226412578870769879,293060472169005892,4395964980691701300,6127483362045905496,4136215137576841950,1326788091443736738,9575061854785440464,5428219830269899560,2668713267436539344,110005513390794030,4400278528141119120,7936776657120227004,2915145813591075060,103947861552048592,259873079928843800,5197530125995503200,445428676557011160,7126952806214640000,6744211551848733080,728974391053590250,1674088411862262432,4794178745401568090,3044552702642677750,3517995296296047065,3497682257659107420,7917049592030062616,216482541055005524,4963554132325449435,4725176102114324787,2077449154279301530,5417647315458679036,3820991169210063492,13752353940799013595,5315192307047441861,7974707087110346170,97960525469768673,7836945540031574640,459781349899928520,9195748465730907360,1197672282059339190,2677653281768656093,1195953972047630096,2277692230712085850,371157102597254236,1855810038458234500,2421030019341305890,7281358562058324147,86536867127738500,1514415194950369250,3297971911152415830,2620711302892586828,867839355800819154,5785672215207666600,4720209756772395255,9671425354939562120,4750961539552459218,10237561333119115282,198784389910784530,6957545698056187010,255300313434098590,938985193199659549,1319610773708030735,1701160890448709340,8548329074515107269,6391700646129598555,1060329078032299075,5510110035080713944,4450527539468929500,12970171916555137128,11980325421683652800,2236081864860481655,9949194978486327584,6819007297861663890,453990516736242423,2594265891561281400,197829226848716792,2260935406090026880,1211791590300850265,2451062747411953857,784223245387829000,980292049338260750,1044415851768705546,9283819525874760800,1818742090451536494,11333696719781857720,5002472605650923448,9632745684107708744,3693438804708226175,4641866682920257590,6052483097992587625,802273003566630783,10947840437766872822,6644120495997583950,6925675598156458360,7466418380669102400,1259144252849359115,10302848154118783464,7874137417182043825,9717604562192368424,7586668980953369415,355205684915884775,1933474552349761008,11252848646787866405,3081926862787501066,6999182713877208920,3370100310297496275,2241157792787859568,2372853290775390670,2794346167556935845,743464430840056245,7794035094496364048,207246042766432376,2072487966481965200,1678645443729073355,1142275082364671760,5076845620150792320,8313156040288536618,933264758688055950,2512604213692529990,6279901974348451875,1252612899660712733,2437574306212383626,4401874142520006075,2907435281389167700,7262943261263331930,3216534328520722832,13893242571628487019,2693268496278384855,1800274597708742430,6466890356466940225,3482336879367538335,896793887695291629,2747515976124958470,6502661192226940208,251229287836811375,3014791587589044900,355354377035800534,1449839211466762395,3221907815344612340,7840228323711048275,5693819380679118655,77271880337074413,3090916383365295000,7584409508642152368,1329880358570812675,1115955153327630786,976216171924330116,33393321651761085,333937666570177110,644999866422199860,2150028210569799560,3162786898281863862,5926285637600897030,3088011230148187240,3139644444164558100,12879927457970568993,12440970963036038358,894421763131941380,3454257467056158780,2219514067414723300,3501331551250660385,3227278682657977956,1060294648194040530,1811028170662170924,5180252343975710960,61080363339278496,203603928239981120,2098589348476199875,964494397613803484,10941798275808684375,5418146164403803305,1137827633335496124,252931669597253660,3161688086360565950,11791693395104609320,1528979835249752968,294707495760350819,5322199620287137260,1491954809964951304,2980329839426453820,586975742412290635,8217770191037436890,1269365175074379435,2993657317304956512,836092160991736170,2340547789176749698,2699084706281960241,3733955669254117560,8237618782321842066,1589917565605278220,10376190593952031072,1357627008914562355,1098401791996489575,2565407712991225224,10560813346950510175,3206983694258187246,2964715143335974902,722143841587167080,8124226911446240790,6592878885043876425,7999299092766188370,2769744425433580154,3613104864721978650,2273401220229716304,5547564386532991700,12530326251638018286,8867155313543478588,1343232585958120290,2985001269868866040,1849492298065827425,3715823868883211424,9871698020863894306,1164043460430814540,2234323738753809913,1574569087756722645,1189424275298066361,5152910973154361217,4366220722514090125,645301410517385145,14406131926607460075,5798299609554455724,6223247049049730648,7003381241615253985,2396844828434509376,1378514706187140405,7600557725990951418,3213477053424597735,2011708840502765880,117556511368044154,8229066161670967900,3455879217887818344,9759962341881658152,10242159682721051790,391249465809685833,3353611845203556300,6623707964567506893,1776813481031994452,6358949206446337800,2954503898572281556,1692436315830170840,3483515339631247753,122665898926020877,9813403663414366000,3763847635260992196,3959001769297265625,757652595370724946,5444900844680054634,3938209971024301700,411125430951067476,10963492096165662400,5315666657240177784,1121240436842159356,6013671689548605560,2822879392750353198,11747169597906497760,239733102682720542,7192089743785201260,5271116525325299960,1041337680108691662,3471172264686177300,1453110644197886778,4017491763860526595,10930243706972373490,9440861008314704787,3117132732555333280,7914283601330177496,1456183072285918752,7276396936176439875,14497592488335215982,10791325272110038075,6793243668554855368,398653878349089405,5245400151702697280,1018943395925801268,4298049223828669170,13844648356987231962,2444227132216689183,377054142849224225,4309248221249325200,1060601771590518610,2233414768921822585,11063230946638152012,1921490876509952290,3026522465103140850,4502714510673932280,1543489170737531874,9934640688971107408,8686447598865445480,8010551078020650124,775816778047607205,7758272331550333110,8214968845789507044,6653813336168600700,3667579771149866352,3220651793944741125,6125356948929676944,4447593224138637486,252980859177652305,5902966312724308870,1684272545885096375,780717323838568968,7807278540342304080,348438535341751920,1742216178806413680,8545473370624394295,1398374996832542215,8232049743610905936,573870597300508710,6163868459613765537,6376361678722469475,3035630194069268430,1212914837290653777,6342625881094052680,7251555728286993590,13922782741329624540,6257284839520297037,7570559063110162095,1569053542595689375,7592602786645297785,608553599753359425,4906400828115763188,8354753641356993477,2369205767067431250,4064165717998436792,883980810173931860,2950999022122537295,2085331763593160134,2123533615429143120,5392350158141722932,7923805370036729985,8002628276845373820,2852503692959625462,10425827600904474640,72802634803717916,5096253349817281400,7204104790894794924,3049154401111312632,2662296595009305780,877821384751185290,1220200138902728655,1355796274282964290,4179599665692611524,2220947995726850050,1383831786405583052,3507673794341659200,6013816628093044785,603420422181942078,1173493523278669485,6040133190189717156,1610825819528373140,1361761928874037798,982483024087227078,102720385787093490,1712029614724674700,1649431717823423430,212287077666230479,4521941352934264251,1140976732384201335,56899996092626502,569007670226325900,7586871736381823200,1380861260499960945,1688105937414311980,1350270121448202380,403339515630229620,6722416382708969400,1438695934985650296,1554311759855677550,6697613257269202471,11715303947745495000,401845402139226927,2870363226790891050,1756730166442782270,679594668085475995,1250442719426869080,7526350859658784495,2323983579400719355,7030920943115456400,2188945211902146992,2438145079705482020,3375871229428837932,1673687974107650375,842842955930594560,8428543967318981120,5665526188548336530,8046613117586050880,12026843417091780088,3104296886011361215,9539519494015581952,1728755312042520645,8090718181708710483,5301920393056458390,1460776675565718750,1637763912856466356,164889765171804750,1648920054716111100,966042538959171415,2760159046483764500,2489700898941080268,192079055203410675,2395098198957400312,12352158179043009291,6024152324257609360,6265864423057525728,1428288038189267020,5243031013604671488,202893807758788068,5410575118923435200,2215102711617518624,5736441168039399825,242978548280019806,1214909268108167630,6379199909462185880,8923464815304333708,2216004677201704440,10334550108092256261,913597083459647951,9136095172588147750,462785347464021336,6941874702184461000,4903267419101830864,8145782269984581687,5648512705849035750,6523159874746226425,212478693286290570,2833087824568098480,1784411173844419308,9738384844679985105,7618040015290992364,2301292839319356220,1215846180581677064,4559485296522741990,2397081991033215460,10136820203966019609,9181247102985840240,2107407843911881713,3215353317161582196,1476769955696438445,279143454757343655,3908061643556499450,716083688828784507,2686383471408438344,453246222529271600,3219415533862798935,9430294628518120350,3346690805999544393,8526698506500327144,4926474492376123840,4794636640622909295,13291610653170984375,1326826216001203208,143997707443656276,3239992631019115350,1774202110582426070,606415677426072340,9866326534084873853,2227221915765648964,1400128466411993810,3059363207587551228,2308087995854298450,12336555381074238222,1450502131226561384,2284233351051166860,1122927921335645508,10446581145497008890,1590479542960406805,1558114226693154389,2925482280641892975,127303895139647148,848704230930306000,12730737429632595600,2322927136887939504,1268223952510943575,8220951123126135723,7134303865183854275,1813897541931524336,10308684821806835664,10668741963640518485,5695899789378199077,13134005713917324495,14471532186027224058,11765681452946678088,294339656608198695,1962291218785315860,215592044470979670,4311899879185965240,3466347931606969780,1757493350437179280,9176323034123019152,640615987396028490,2135415849771156260,936566101413608774,3745386093803719875,7842643165221845743,13165830134603406000,136891252422596408,513349225455313830,438054700812622725,7008971195744536560,5789058768670403475,9368674606617208302,7011772871915766157,549658013975236280,3373853130600623181,12031501156449396480,1703167889155355124,2020849119244591816,2169540150800846460,1104921858438787002,2177181543560796150,2213382447161676596,7942414410995793684,246256452623415340,5031994367486357502,533996276220900850,2092081796133030538,2149668721909757892,5356593052020396000,598972523654580924,1490145113034471100,954473912439715096,6096854172176280072,625147307717471955,2758185839446331502,3190790639249547560,8881719154819934256,1295481869495606037,1585285231671947155,2561830049530518508,12254366952783443240,6294301058890550349,1985716964249606424,456463504694560275,6390576813405354570,6045107885634750450,328780926274574704,116892147398878254,1948229215503200500,1295064665542432428,8009379508215697425,4194507261779020773,5912573139360864852,213898897748298700,7486564295693357140,947496409498308550,9463047945366679195,3128871446116607412,2726281957073296680,316946344071815248,7923767533547138000,1224933340745888251,7884371808201827007,4455650506344701125,10435797828903727147,1709182121966433390,7342839572783157054,6911933264157421864,2061858595824349500,1959355097608655397,5870791772163454825,1100629582595290059,1256425768084245324,7504733071628236080,11302235010886032675,4730868024808854660,1355044633198373139,5066587163438548752,7744066654299828150,9185005967559960534,1363822449279182350,2228705394039474882,9352088387334899274,7678252376475900440,13244286204848800035,530557412940677070,1768549070761324020,5729368380770725160,5943264084215534790,919635322993756272,6130986630365870400,3261153224270314058,8447712685927429428,1075926336420476380,6038613585035112012,1245536819518635560,4465032447506130747,1775042976672761187,6371574971178452035,3897340644534892620,11307335084192703325,12181460361357582568,1191915242493479042,4330260801273954100,7500362548878827264,8644463355199930650,1476266717273058035,915486933567888997,6539282607930637750,72087199509062556,3604409714543967000,6348691607515023204,4404805182141529568,3769897661699444670,12648743732266663779,4186472270892592520,5683109971111736912,1199876259160481072,6728167297306009230,2914852898580008104,1565832033833127920,5118107640342581755,1918447435120418176,6175566579383746440,4018040910526751265,1531426736335782130,4071318005345933586,280677909552786526,1180558944364811025,3796044459165353871,965277696505384500,3042557118465095050,3455137635402232626,1759056701198822870,2653744182838642180,386360988302222310,1287887768022715060,10456787918643686991,300121135994593485,2749493211629358574,1470852293013559260,5937107197074340112,348830263461319155,1175791894870554100,6524978072181393573,5948087050664600080,3714226384555179584,3456789103231885815,135828233123666785,2716602260313449980,4553349570954942880,811436716519683527,12858272300006609488,12885033742342927875,7812906573695094516,60837899873892300,135197205167741040,675995387242957200,504622778456215160,5377153671087782622,4962908642638548450,136620814989795045,5464908307768765800,4522604278807244140,6318979978262405324,3461527771542413895,1190282577844262424,1487873842300663530,234509533737189465,1435891664531691274,6036656208856263990,595740824832753288,1792902981857792245,1656555942686721300,468545637566797232,3514141012323017400,7799704630793465656,4838860310083874295,1483292310840806525,372919834588997486,2134753226652637575,5211696855536753883,4677414718753626830,9739754866250884200,1564437204767581498,11809097919494582130,807009115248234976,7061427767022869240,966685437638951970,4784088037544195781,7789659329891642190,1589194868771176353,2485715209525856142,5173406420456773975,2321909853823191328,7372383212589161560,8613187096560069720,3998989642459884336,691773908655685590,2034256506982685331,1077682098909099320,2132675773009466358,895962548046721464,819999803210271125,60248687402841335,4217466732866738750,4563929899907994148,68497697113484765,958981090558068550,2739984064872611800,2025729687798787920,1680012908909013532,771898090392391569,4825531130896172840,5332820265294544232,306462842472933780,13791019736929034340,4014994992620371146,1071557927665418940,1103497263787770859,7882232983004038250,8875737250021803448,6622722740297945720,873626579628404960,3334027718157125502,5371564224765827480,601995505743311238,3025488448637903912,524880739322732100,3269373675450713649,1877824128557386000,1994128105449766952,796550856170116696,5974214624439359100,926245979144147710,1343056594915178430,4878089246836180632,3634606150387940601,1428642331791850510,5025985175142368944,4188610928463907665,1863483522235797124,4693512767123276460,995848690512124635,370700300394318024,1853527339126265400,2583473143963433754,7574570596015691965,1465864635116893485,4884893885686630032,12976535555469767640,3119102911341658662,2802550157520971013,10768911529218107625,561879287376126099,1462967693183909250,6386664461621074288,4400230749591261408,24322751036869775,48646180878469930,2918811584575047000,3212445595796987356,9792003852528748277,1908568113771487140,2792609955928629290,928392656866406030,2274319825382203830,4786037624938568832,10310869653982165320,5930537906012989516,1451874818226442365,1613216773154859110,7333754992498347005,1867951429440245,37359550479455860,373600724159591000,1192114377542415845,6037059638237844552,5139102262249523750,2001188789955818888,455792344635200300,4557987151642823080,8083330949344167070,7494957014765145025,1610110218170466215,1590453611674730605,6181233920039806205,4768193668874092365,11096956903804127000,4992996217350721836,1377181742780515800,274657957824019497,5493235995731213940,8044402966565933400,1377711622976466960,9003375851198686120,8844009239486746464,347263756560642955,3472686162941899750,2124726437162169640,4946022993162343450,222248566586482588,7778808720521443780,9319838071308431450,1089118033195964304,1092565219998063175,9152482408884858112,257109392412495207,2571129931439917350,1226491736153031807,5114484768052265610,3350121859255842675,3692432946348810944,2709409026020723260,503446852418020596,286099994623321110,7152600092926333350,8827449559430091044,4787458482595935780,2218798544616475556,4586695853051454415,29980601823300106,1798861327446325560,4102395149260478115,5033805988502238608,4200512812676051655,6691463584355367454,2811028861713624330,2017986288897127700,1525872532007986510,1420948585435564575,1162787874806408122,211846569188125803,2925524930554423470,6456326716041695136,13162140162046417005,3153985478292575444,8729227562633005208,4502213617384897760,8816522821977673572,59190269040167860,887866499877397860,1479798275401593100,235917640916487530,10616442912483193170,1889673323924117025,2584942876964636240,1657637464948248882,4526066066892581820,6110712990150218448,4762576356162237240,1059343648393973817,2416580804685242232,1529918587856070700,1850702008104548529,1274857877820391925,9301002178088677511,707013497028305346,6527377409518015155,1453458552125773596,741288939986993120,6207571171730966212,2130664891232145765,4607479237541445680,1729150510836287102,1950672440880544900,14520792427101878832,4347770406534604863,5756365715963284520,2674505300006085832,2549335197988949760,13994414171297329761,7770158163487746819,1898025301518960900,11851475266206675712,510862345387248820,11494564550839593090,6742505798255303265,1718735718277649800,1032974464573989374,537976257125991250,1935249895463695508,11018907721618543656,9477245013286561245,3689775854068047360,7661281097058748380,1056110335508473965,1024497295521987472,929109802538075265,2260532732440608010,7547649335772497300,1621459300984445524,4735094183300177448,9539577778747424380,1709100698077994208,4800546432596055570,11772875180816856848,174388251458584177,747388756505279850,6012358922765450199,426977393237920675,5024484743453688440,1016646017247187016,3636544997940620500,5572814470781310330,7877461816289223375,13123559967694622316,12168680310864516736,1034793975603236810,1656506662923872706,10153867914509609745,4458124051801841772,1162881232910697447,228299059687341320,1712267113662350220,2442055493030992370,5465257635923973531,10210180058299598608,9330186662518227415,2393641735677160614,1026733165171740565,1879601553709406176,1433165374087594318,3804156521199818820,1249710912873027059,8529074116631164120,2589675242741441832,4203305412033651165,12638012908039197300,977523684307661296,4829070106846829625,8392123457758255866,2764814814539511786,5250742506596112875,3511287901395766960,4406989342283766180,8150865380193446690,1602274051895919311,10584576437870688680,656598147186309944,24452168353420155,244525141396962570,5705667323046403300,12938559799632359520,13250575493588741337,173756982913127880,868797204792989640,538494155775444089,3874877258544005320,12612107895335133792,3188902849859381265,3312377305044578496,677007823893716910,1128362343347023750,2963269373154673484,113125773199509425,2262547493733972020,13592995781577553926,3595384371837816495,3636569849209923220,2951687624332373680,843910226214515316,809518234794137265,6387196315342842090,7577472775038647508,1748627516646963925,5184633867661920294,4240960650117254115,1444214554009197920,8220252610864588176,1884365506816285560,6895264502328694235,2153581749880267146,5137463979298792960,6077832291989450404,2435994212614800275,3207312414647918096,11958976013742954819,641890933969905450,2021586506664123268,453473786757637275,7558003634138621350,407164413168104671,802976132310599940,1492330986272445068,1283030113826390370,4535832840141151341,955632303215053219,2730416751704344900,3457568425722762936,7732081832036550345,3348655552224103320,916735642920086848,2983537570329700125,412675045411172376,9629221093081494800,4752370281382382904,1252231300741308380,869787317544114355,4194611111280349240,1356266092092596740,242304796028120616,7269247129886941680,4702567972193774725,535947114089240454,303284748353607750,10615117007992016730,1801558951962693684,8638526587729577980,1792326936349111578,1573628622999880250,11953834259631948954,201938661003497132,384356049124613415,573450110405353684,829265362231133555,234253010736751030,7027690247842755900,800265275522919735,7226730654367817229,2050862655740243760,1550456182126375419,2898501871140014545,891210816399279065,735659647255369695,4076739153696502150,12897183514549911488,4209735030078966063,1898769389017052500,3950475008172335685,84799950540696950,848011575281352820,908190719055051135,9742746756649607015,6672202513005926608,812582013982349625,14626684510058876850,12252352206945829848,3569337960234559110,3125965620969765603,4847267760658961280,8064269082516842559,140818850766926726,6336938556662197050,3984160879458079424,364299280183672225,728608941913467370,2971162022800895424,7076119391730620960,1331577491799847230,1028698616300089770,4572059018270277040,3229013786115943948,4264151439507606825,5629647460029347430,5772928137610492200,12096374549534828748,2815493352221451776,988809706584498360,2507786885325032691,178639363368243075,1201935041918986312,1502440234340429090,1493007165520677425,8098858032253856322,816248919672013060,1617429849736015236,4625986304715638928,2079325500670457295,1928639407407827290,2922795686315705650,936442639977119807,10641506904355643235,2582042645605359545,2078616966140209020,6189994560305675630,5943041267059516725,229079302455529864,2863532174941952500,5721472148069000197,1627164239201746050,3084150182144766942,6218649459707318829,1088833554106811790,2136407487846341364,574508259668370020,3707463032312397957,8108042764207490577,825024573002901375,198618281923724355,5296563223145194000,73285450662457296,1465729966298041920,7029487618695732060,1262859428240390308,4679885751426037020,240914408277485893,6949438204493411721,4694159401691977080,276107428019439079,6744148782921464370,5670937570782009616,5402301138850043360,3927205748286306200,6528966166881089220,9526765152295056150,5715517498161439605,9646085498203416744,10732414905941369640,1586560811489875430,4607531387945775765,3735225918357388146,2626710557463718674,34592286871732870,1037783464795546980,1660021524883320930,1242185214842218374,2164254928399071945,3160650709630220160,710447702226189382,554347920763076160,3784890567200360022,9767991887933311809,5120695662755225340,2424500760437185115,1317904641940218780,245049402118854499,6502457399746723352,1577206496189450850,6194224983590312058,497101968621999000,57643353140640927,2882208976266112350,3403648474577157540,1279246558297190980,1560252457748808255,861348761060386191,3390618131192668040,6736610422241319760,10036938856609737975,6172358522541852650,3514155410188580052,1190286582266473250,7260575203940212735,3805700872546529264,3134155477348815270,618325198768307294,5813914314081463836,7146360113342952950,2374029784860743032,1609932113461724660,5986530983888138944,2790101111389952988,6652836810379466250,6290410478664391960,2224684113020355350,9052116615331757828,4388375763371376819,12164200750398566480,3214419568310715611,11835888519304928340,172028358920107968,860154151925423040,1023696118561077130,2838903998145583774,2335214413549046910,6148022446344658880,5779093433884375521,312683195730514375,4377627662082487750,10701155996470546760,1332921480552579710,3081303308403085827,876672446774261360,7740394482333162538,3674280456145663710,2326969618768166169,6005424457729099230,2692852801062171625,4220528290930175949,7058029316648515500,7030262325626997184,209281017774589234,907601624840968890,2519894600544788168,4504191131694845940,1425978471273028164,1146919343113729312,13075312064184769520,7958731215994575415,2329700210978393330,174071315466655053,608918467636463874,4059514899094207400,1878835906368730452,8952693918288375990,669021563300996284,265665296295045192,2988777630348666450,378699721676190126,420783529879201900,2786901985421381514,2184735100055749950,1086763671456847200,8244658762648429296,937238486482731900,1407095137088968498,7634446468217063456,12105425241590294925,1000319655140160618,330558142079440860,4407505433196607840,1180577096573230654,6886088950138828465,13108433782612598760,1627622104423755615,3036173056833235902,1267506411698883303,4726750491390506600,5016754163909272900,7438706909407335835,1574510028978579968,2625641574539256792,17044239634429280,85222427863387360,5965656036099032000,1288847133455094380,7910426360888490395,8481251543574400600,760958994458615572,9441895020214670100,2600413332358559736,4741604568261130941,9392279653367393445,2972740537466695860,4099045765481030460,2436055788752500824,7015678833432304422,4935812113206275040,4285828494251972395,1479384114619111500,3341539261814009984,5376694289027182068,4553978053493724750,3084438157994142834,3508610410884647920,4419072184487847432,1204522822617116514,4490929187715941080,3459708484200127055,2142125324220485580,288964998150350198,1249020294724145009,2011034468249758350,844017093436441728,938661219746323250,12706571188374630732,7938366934142637056,703973088839136330,782203635167039020,1258704317607127020,8808240230494251464,9320055488373933472,654841230888962620,11459887360678898330,14424160550156503335,3774129609852717303,3280264728389869059,1088066482668959160,7240605819653838534,2983678410218755140,445515907703410503,3465173894280770490,134049775550928825,2412930898441288890,9358700210666464905,3858808197073743928,1177735267243774954,964894968039369875,12982735283185350855,5179115590799975800,7292275249352164365,5814759374071621928,1405846848270678260,8344977354068853744,3195164073360869025,2405479356529880952,7261845163611457380,6958435510836955600,5492680643726411912,8963522077311217780,1314030442880058603,60157615125264176,601584873550762400,6015935965817876800,3813022953416229840,7944660019068776430,751552150599606034,8589292013700767200,4430196950480357710,4560223839732287475,1589191410139827507,5577022665901413405,9120329040253634700,6143507664494179676,5234477908450718925,1780610051082394094,2079851233656892545,1824630820395038650,1095782968683226782,1842808123306746050,1606083130012699832,4386416818300197588,3711560884157954800,2563936535430563124,3021569466946225425,218882262799594044,6566563250484295320,2181965205311588820,1408523909004934616,2367826910416308300,4353290004082585434,1372482823845394292,4689136628735032320,3737409090617986524,1131616367691474325,4385203080036668292,11823253781845141376,13115533913360596800,1612120495597928523,2677378441728623850,493347005176608284,4945172061935735334,58152273623484850,2616890363052498450,1265051043761927205,1151996814661677313,148896051302535901,1914405645922978950,484405563629199657,9351556721306680920,2403118839697109013,12953293676091677754,10000408641990100640,2001313733523492318,1045780949710752780,13445950736235571560,768784148197580505,12300725398845699600,589294257372132963,7712089396841876280,4275311577438786045,2213635097580114364,2419743431469945100,4777467575929235752,2085090838394287850,5100393830006182896,2213001614742944991,6431927845539509040,13204284032531394072,12205443538494736320,4208456397214823139,5558180151557037712,2996473188034218880,8261361707334875892,3850404039128996300,4227621302202732135,4724877713782638710,3698131112951019675,7407538296184363491,26591496307677250,1063675357876774000,10636908647408540000,295757778404940480,7394052268101412800,3278971916223554320,12819555680108502728,4927233454052026084,3250119935352698700,3101235417431114236,712886041035787625,3877803617381559782,4867871893516688936,6921242477041991910,230656108224499272,1729946054033486100,9915339703783185112,6209779339149284171,3258313648724719375,11094316661737205897,5267895432017209325,2688066538815433616,144216434340968236,11537483188036859200,2539168938944829712,9499535676256807640,1097510465621004579,740315150593719416,1653270880920336440,4224387245516964270,455755033942675250,3172901814063880845,11305119907245089016,1954794494464776500,12420915793626443560,5819631412930485800,2789010834844295704,395140003439349336,5963987068933599810,441611189309795112,981372542685674400,9707986028825618268,9658469971025793127,5135073858034198960,2970629278093280762,156847680929376645,522833248228143110,2061996834835004179,7806696826314613110,7493631756195139845,926596891762671675,1459584119173281983,3082924168744091203,2229455645646637520,5115019832007207128,5096403193823540260,8591730411432208341,760107349213010933,8173403086473825200,1389979699116133688,1296043956917421950,619706712507417327,1262236908826254177,2752567517479444320,3801001351454691500,2554826058701900550,10070619602650746184,5364001606494772715,857451322876507040,3140347557765650445,1193960746310078520,3102959436741705411,1416186931201678692,1573564086668758200,3714026244667980852,7411371251664949975,715962508238115604,3470337958645996776,847903769840283315,1765717888276625815,2631251011843684035,1631422633332871605,2007152665510442548,326063460831137900,1630341205862196620,12557707213412702400,1774789399143537042,5169565189195595240,3050499940103023070,3536818764154156984,6778745425778900160,1424037751002528314,3225031808166295236,5255622178260802740,3184635007376995830,2593462665276528185,2893897422355519076,842564429169804978,982793267527995625,2238245597246146299,9309902836299273390,3517517770937011355,3611078955731941328,3665968991660969430,4887178539018235523,2784195571888493910,4112462136513103188,1889768627882251872,8429005007217021400,3958590173397720672,105758728472519200,661001761450227800,6610114707502958000,152365814644606680,1015787020098985120,1262263314918389085,11220283209361265360,855151100711520372,320010086897038525,1553798386357244457,720848862837946065,3115014794461631530,10326838792238104856,5534456388444194380,5316642308771341168,239686899217415840,4194582407294471920,4210877147857568068,1943830770586654740,9238539031870523946,1156499024849236310,842660188113690767,193404753202968365,2299100358692118200,3681615193990366581,2235218952301873125,1727590006991811092,404150408795347405,4487666427214808040,2676656606110329804,3440148798954724875,2342957776874915248,2563667606482702538,3870034047117903465,9601328209199539673,4864959265411950570,2787476190496727202,1351806545082847768,341848448138849480,124382299919715474,6219206583034906500,5452337601374222478,5961326042086526475,1963073127353021425,1157233932006552507,125871043324129545,419576325808506230,6308990436454750506,1553006198701131250,9406958194897500624,454937443972065850,5646179510264092131,2662900038193173194,406104689894083530,1353702253818001660,2860042592532577920,1400640886865344490,9230479202538177912,16520587920377565,330416630541556140,4405620041022116000,1128550406562331594,5599450336713819736,3679022988250979310,3962485484335364470,2668515217417543520,482753786225375496,1609203028628096720,10097945992837067560,3263955206842432437,1986072959790172640,303734760523692778,867826409204988280,5216959583821279750,1639544145566872146,2606878082491076375,1349539699265990785,3153359556155170767,5608902191510046780,11592552466674513819,2688594556918380570,258397428141794942,3743565473745062316,6709948971507416850,5177579621019120368,9847470561636903615,3529101076003818088,581669010497896465,6103822019283605435,478417027899082245,5950436957066033120,41250203387368261,2062540650180159050,4970186243468546460,125098868257427025,3336019130793090000,3492645870864216152,1467935064256063425,9577005899524457400,10125864496572815277,5439078777571156800,3273813623524650176,6360887668880863664,2713392944859816560,3401180111982050424,1445346055119444930,3040959563807260916,1099352187443101683,2569365908468221660,1119057036564283362,2163192510986695850,4115173728522870712,1579893355760834696,3260193149733473850,12590238176274378888,4488509562435437175,2197208649884175165,4369441890129814836,3432581876634214600,538346304479757416,9384515104987849905,2131848151652850816,1529641433105577108,2629593710309188000,1559149146084650555,11753399133661777800,1498414419363877322,141400157311000141,12726202684853214450,8516665912261262004,10949792380839114075,5592626642281393557,11394898290185159313,4462521043811825020,10081047083458701056,1055597925543134295,5276042330824298592,14820858988732615833,3244958918622948930,4138287852679251129,1196415253818333740,4133931771521915588,1312415605029963612,1075564363843501610,857998783235428282,663644901717349350,75630943719774352,1512641311302600640,723293253018919575,761256866697721277,5067790309199308750,1658291697665807638,5034354124029915363,1185247757165568260,3906761200582976804,4552594410596406525,978569622927457353,1611994885146224969,6351986190477800425,10387369334767865661,9849229738632270960,4695522979893968793,1602605745909371002,1412750689002613290,8340539393888411724,1016662288689959275,797211702791550312,9064930752114128361,1367712898228704640,178260626720439081,4159476415591804650,6939179891883182349,90737859752528352,793968070181475000,10208312594878006800,7201887457826880750,4802581067397977488,2267668286752496265,6172349665773552200,7122977191720648251,10499778963659071760,1571134386194290333,856490884952501461,1872525702414610050,1470308317056923407,11985530921192754640,630831343973011055,5046725809654902440,4248059952864466780,715885791323239532,555918140604553860,2427622940169073548,3350146772207442411,3786931744046241840,5336374840674386845,1535204480649739640,7507506002112272212,6556536834451939472,6367842715009089600,5304999004654867965,3520562635032324000,2185514153726246780,7482864149044520586,7051313021724741330,1230486661360293448,1494277629799857170,6068163302800501602,2065185983027293525,1656051298070199160,48474537115168350,969505183426635000,6952692237763307841,2240238932143200572,7760400617115979860,8248398991133740614,2682637809178578350,1233460186182018141,808744556957031848,4445298943470112260,11242612569713797552,5988109526981991025,831462030048645086,1708550591988115976,570030272404646250,9588769564582877656,424784665419886775,5667696998492422728,10691503255588401225,1588759942587320825,13732618187744733573,1571932877550402580,3131753217363474440,11773941262510484763,6078466224771900220,1648980915611073265,13169139049783741080,12757037573826873048,5396366655917632005,1762477470425425320,1658047702672248015,1712797245169011735,1506719291035934894,2776631917521766878,6966738865068869075,320714496485188736,801798212021374400,4228626779232528228,2634949667641074576,8698159091035622800,8636199971784904638,12012553148551590375,776247095789248092,10350115875462288160,10973197774921702920,4482032811467766714,115124347374301075,2072269214123875830,2600577515148240636,12353861914486911960,570411318103001223,5973936473679406440,5144949490096032396,2811327416065036395,10298289856723550045,11931107954004409008,203136023785137675,3656503095346696590,3030100776722139512,8681695446175080480,4148800411726064145,4253769161948928370,8949057908988705016,6348989553403080220,7899655643527213475,6842013489152504660,3691060766615776000,1308133255517450778,10578323790214768091,2121698745662893245,2113569798908903061,1300256719919911710,4112979445728340552,728853722151013468,2705720990639718640,684399090794587686,760454817783527700,4960745022106034980,5441115022428508,108823929801444400,816191694644796600,3202357367943897645,2265516808001743632,3754914614990658384,6725516417776946850,3868212189770896776,2641552485654006030,14708964374414391717,4388799194237207523,4206440214457440750,6352609493981268128,3980943326793417300,42012226277804992,840257117792618240,894250002077606290,2699055005422709700,533373079822685480,12001074193432647540,211078774279714944,9498687247660636800,5056536952109357136,6797987721403637025,1830992406785848310,2481464443019205826,712223866703834910,5762345216398668376,1175304584741832220,3659984795521253548,1761234152002021930,3220179831634206150,1620834902535181284,2232618903520721220,4957151413989215736,13167687552502943008,9440690531521461150,6784711343760300344,631624610358597375,1353981466834927287,3615150047095698984,1885978891598482460,2813258786417223408,6662015601315584320,169273847838830595,4514037057116885200,5438000441969285960,1622957348301230142,893818015798112910,10428033476194131630,23630872106622573,236312270854083450,2363158209276153900,1259441909902292060,7092127036675027711,818633120013519056,2352428141505603030,2446553469622564336,8068898709449068295,6397882544184133936,9928546113439424709,4415538037146660800,1110862572312611962,2360990012948801900,1109696976915703215,564661279132796999,6140924255230319115,1020442675446247690,1158226038683519715,551080356966844468,1638645093414052071,2984918222674025970,20235513794327162,202358182061340100,8094449056958213600,1693114416407154546,678680069133108555,607236177696168527,4428736625014291580,1141320738882535024,13342880283359842566,11090313543769605180,6627878215954540461,10732219638382017225,2029163952984840198,142925416678225576,714637842965191000,1050460783356702456,859099491338141025,7250065985444623194,2479522126180942115,14834625191315032860,6336872404939005812,5659489050370265370,4620726676555367220,9713462834653114824,11605534024712095665,10450314165452985032,5895888368585577580,11960302376666033776,299161985460392166,1994443294057898600,114716121219625926,1338374920433701150,512510136310454618,4534132135140128895,6315693991523542600,6357426363481548390,2248360005448585630,6533965361176543220,7384568906870442965,10654413353016086150,1904286669389379438,7589481743387414375,2477735189828207109,7679476237014872703,9311583408383053980,2049922563618005310,1575463781702135620,11276888648868211824,7496821396953072184,4361422308106003500,5799571547232739752,9695251503600090925,4805346433151057936,2075972390511620134,2653761609047125560,9993399879228601806,8161441274778036630,389041103504323218,5835704666591116170,9089859412383271590,1694394962858276861,2292414636366328785,1015547152690500966,1732393840772005872,2035949498493836500,360787959397113423,8418512897384560250,1291019074907160759,2970559343424838704,14568301921412858625,6385282214859847065,7042604960059335210,703435667171057765,8441355587097779580,3259339591099800080,7606100528843977940,2707996596875537085,4056202473676924077,1063096374526836328,3002603743569290805,201602765288726136,4032116277979010400,831077340194522124,4617166162565327800,6644956567078865175,1207620878762361635,3337397527235030805,13081999397989574412,11507982067053087408,4746773372016802300,1867534273505271273,3032197464673730775,492130335040168092,4921377827459052120,8935427972656328730,13072726992998423088,11400812132905901160,8930835128497713498,14727172421724706035,13023365838382030365,4844429962831986744,1527012869397332685,941200877301594616,9412151302641058160,1138103458165963765,13007093658555111920,9385600249445126945,1325516889409248438,1472818854101899220,10269602623687614480,4228670018770061448,6672423048887778880,363649756628567955,2597537621915708250,1996020997663686525,2240073235672145668,5013946849563749800,6469642819964665285,2668478423662745806,396294814705389550,1585203290119586920,7765606981357606920,8021569176845206398,105344881872588802,6320788758668620200,3518406744230034852,2669464359763089915,4862073737172150920,5516273706681320485,1083704623942224560,888049571065200562,1768611303556967925,2762186942544464331,6412592092822090805,6956112938845196200,2825735962460560695,2880551871222248960,2272041567788724624,705005685747785097,2082419602808579750,848012104610781294,1127388572417748750,661541895279861687,2186609742849659636,1963878911107383140,3185259414570515448,999172699930275795,361351164292366896,2810551739683440480,697791262705098730,686461147895952336,459653855176806680,6894912568137375480,6156239602233187576,3231568045551545105,11690549120324995596,6888794415911938775,4561297203166733718,640423840187847359,8234145943354832850,2563334404882279155,499413017376885950,4190517750278820345,86039335437040685,5162438609108722500,617638721259310570,8574841051345746750,3055842443917240566,1388347864259762604,2619088879862604980,7851089252535259955,769378411399011445,8455152027093912528,4907509259734695312,1156573095097276545,9659651063752394712,1165488576219469665,315336525043673224,3547589887981296270,3114847564378952850,7508571920865452466,6286867154542664935,6154687057715348625,401054258065949212,2420229131093999435,276725400713027368,9685536478547757800,3357879548178300912,3087917665674487035,7181315775026160750,1755485076113303795,1340921737788803100,255874692893715209,1798007313931989718,4146815243225342550,1360663887973448390,6369066817265322630,4591809432086469768,4740305041033504551,7756666773235508565,1594268312172942575,3057201315214077870,3115357575439512429,424472592979118424,8489581254500215200,3475326724448129824,1551575683604009100,1676176779834033204,3034280303716135735,9792829288250572185,8278321288224930768,897086890744378675,1339381973431458390,111717881078197732,3351587548533369000,4840381728504407368,9625290676121826225,3662965866692156720,684383915322935116,1819643933482612020,2529743159661215659,2343937190274461280,7616699771378850714,4283609274625539212,6712066082587977360,4893575904154496088,12108911200352613920,1334084149170179057,735585861243338877,3165186584199863340,5080844904657527192,7539669425441465935,2419507309954545852,11375737449285564768,2799976161587675520,7204171492022710765,2939433159596033880,14446711660757642181,5519249022843546505,3218948845225616100,6113259504370595696,4988494901819274000,22003503934511268,440076802845090960,6601252912947522000,3106976864535722826,1949990723997900150,577740384568803218,5557754839327387249,6474833329710400050,5285116161937871716,6336916195903310380,1782073904965974542,5435930126224948095,4224121581904293020,2369377490438499008,4696987797924386975,4348390551115222860,8123078104896908556,2874018620687624300,1078468426645483356,1223720073213141105,2268199571118998424,6401875551470257572,5864356726544813875,418454102724371610,1394868353097122500,2622515483465251328,12932084627024849832,10889719202980642095,1870918103247360716,5415385438883664240,1221926825556506960,782079939028713729,8215010010550627270,822993561040792232,7201303921916936650,1897542805141012764,12005451342955044312,394957944482610120,2468524959418704150,14517864938836058670,9382772466476543288,753486427367838264,3767489851983371400,5541430629891918425,4440715620964580480,10160587715587761186,9215899785220786798,10711706732332015725,2397342554718370371,702021557491345000,5014516553882448400,331588602271984884,552656142086397700,1618596635802560763,2041072228586863325,3786812378319887740,6467648493885953612,5563639162958776050,4801901661344042175,5165317291842592700,8929500980934149301,6711593081865831138,4842222040793712640,1402070923739454357,9438365361408896360,1457341994792414016,318005316696817018,6360203921451936200,935969495791147363,7321593685729053675,2413754998374737820,7509616789890261490,53761123163707375,2150477934794608120,1937782770736885375,1099520215335143056,1526434482331531311,198484961731144070,7939520373400966480,12875039005395808200,1126504685612556201,11580352273917755676,1225477180472578355,3678016219791656934,10265708439756735795,1427390796941965864,1936840017967745264,8208924511787182350,751269942007142012,1719309171718543720,2915123180923883394,4201562003569843575,6286391419691579310,994252386176507064,4952423046394961235,7686697806192065055,2816875573689903747,3485903252528231000,2224831312624614876,7574167878017184625,529280516569008903,402794489170893716,7049011955170100650,441417882947153210,7945644090843704700,3060798281893683570,440937845671393508,8818892566647179600,6246775345236270852,428642772441918110,1917678525757515276,1269276134606424625,8366462442554219160,2374074598588550160,11362904269340895440,892207134418696652,3011522454489610575,1031118275768286615,1308596454053392608,1607483819604605545,3295008044167025283,8989881818854761756,28729062618668650,41042149975494620,2052139098682225000,2327755718438863074,8818856370613747648,8305313476533526960,2376431317304295972,5057215825025161680,9300188852292913029,13085057436090445064,2754111977017983370,3643519751514380688,1225585552116140270,4838157948632938584,7380171882002026989,4449204252268740480,3407740492456990746,4115662667487482670,1609273705566629648,3123012656725237791,563091055436026640,9854245391466537880,5320844553856761720,942426129948490796,4402625192179666020,4072313168021143200,1344920241827716134,769551530089496925,6302509969484395933,4075993954903892610,401434631004777090,5352544317628147120,371539584910259040,4334695368045343840,1197496877003283077,319925584004488255,7671234744011436735,3212555856098938335,1436053723722616848,5826595674453381432,5604415074938426310,9853309625331266008,5943059107044436395,4823359286747947221,6544425342846671826,3663225613927021520,1663257785294932510,4965159722949714990,4687461897494307243,4456074846868026697,1369664969998115575,2613169809344515162,1608872477036391000,6221273377563322542,250548387062963856,7559781779197917855,504171583760594085,3601281243504603750,4321421179597166848,3644195649983157033,5024724753139160160,4639357072080857412,788699236489432525,3154845711278823140,6259726879959965128,8130937766945432530,8104124498003783110,2431595395314982670,1490982883546632219,1638205227475108508,12500173717963356555,2246504884350497144,3091976714749741175,5930090217627246385,198111086972975023,2835716660778920625,13362816347581067343,13670063394036623550,1551531178757147448,2459510884220490261,4266565525978406380,2677118047139340848,83787922246213260,1396486983502189800,5633616355783151045,6347444066329265200,7214662490585141683,1851554483795802360,9937023669049887123,6052092529368535174,313736804859199975,7354710591336182285,5510585721621856280,4000217884373702628,8893212040656931184,8937765970963409840,9382073188469662096,245470046011939260,4295792350927600110,4547592977148792948,6844587816369775500,355526447854886176,221802593989565350,3307655973835527954,3074489718680902182,618605072569032925,7423375922654347860,5634171565077499080,3376527164941121874,2507258149759069668,6759184252494697040,228312504165389150,7991061541943138750,1413722982962659394,4805403667476891192,4022258055392360220,495408868543707552,2830951725872428800,2044005942736741180,753679626500512038,3472073564154011680,1032212293779754395,637261033971461640,7434827413547701160,1234767661125700748,1171874995376215975,425514876598164231,3309611512277579250,8359370971414788948,5335639527400852788,3704532419329943540,8315399310963357105,1803610027124580550,2721558859818013580,1069271087727203888,5346438449550052400,201612654421790848,756059194404146400,2557640692311577197,374048211059340970,405057492268396670,2145309949268443962,239985788488891480,5124532632293638473,1298989388977618892,7457175808812020575,6285635436386645064,4921197529250639385,1075790550371465058,1500450588031797108,2498368072677525525,8279586823462561490,3093919989480750050,3199952160104498897,2470445800808838496,3377550712418693825,82582201994541018,825834859583477700,9513871580439880536,1685188647575101982,423875913849378375,4238825057702985750,953564014177412225,9535788453861809650,1655147924409679752,9812099052418976865,7136070532408157696,5202176439475255275,2324651098371852531,3224952064425587178,2216674211262736890,2144543323410419544,2845823298073004280,11247345253974680784,2841658666914159248,859320992189080200,8633893680356992146,4999435412174612500,3270773212620710812,13518431617292194554,5105247398961615,102106537821185580,1021081277855097000,32971596521411839,1318884400226396360,1628353336259833465,8843603228107564931,3804754553532551580,7002597182758330650,11599693636329204308,13949082115142201235,1910546037415139572,5753029926274405120,5149313647130522760,1419647852945644770,4680683627676744220,157734139871514321,1402103096078421200,250227280449968157,7506935428779232110,6655891382165948000,14544552770030978037,6820232787294574350,9456780122498496788,618682333935096768,4640189860632160800,2212214724290068815,7598750294961421820,7546343051418553926,335603437755298965,3356086726219137750,389872399632038514,3357370224773082420,2933957628777836635,1718031691622192534,241843958139635225,6738854024467941363,7278886445535275490,5634825293333036384,5831452896435571776,610149904808860820,8736448828128582808,6310491201298655140,5325097503457107480,11526921019147005759,12939606825169713975,5088770569671536930,946110824128155300,1576875996941641940,2954057680138246084,3524683153634797650,1476196657509168832,3152551441590889290,1463145129901437822,9754453240552193880,9806204355220081880,1132572248466723858,5217277196200457640,10575810221534312769,529874849458636227,6055807197785713200,1776812508411530656,3193392339978124050,1244575318425229308,10087285919473018613,4187424571142564760,1782940862540342808,3349118963055374670,10265410343394957546,1382729843921066114,1850769425768296400,9000166674857527218,4651987105486041100,12848501287764675232,9220609358168882499,1546168370021569840,2152347788911383508,737193112252541330,1033198666863658644,307120465314391194,7166256312458063100,1698621118865479536,3166752517595585345,5910589265764628940,249165196643051846,2491690962781855900,4569016414184159694,1861915771933557420,954357965140102705,10694084660318713455,738491146748876540,1225734731651320779,559293398606202365,2397009241092751770,3915703991034745248,10830045070444357800,670028271190105784,15152306420214900,113644078150637970,1136458582856561700,4009318786405097010,7784289234109384178,8735591477262713840,2672594472499588122,1653981620126435955,2992821054187907070,6580096941300590896,4219091390272393245,2073249434774934606,897789393183213664,3437156144695292010,4281941046997310346,4048860790617846390,2310697782041090556,4569435726244836642,557004358810197585,1294326240412915409,708934819208910380,301517542339743627,9045668132455344210,19431385934497650,777267628663657680,1084942661956911500,5202045443846680345,2232936226331265624,377533610782776290,431257720656926154,8716093026263060490,2648186700748826050,9216651696204132678,1870579983627005910,10118375576149263759,4308956294117578520,3695223976255625570,6313040499898542024,976138600038637620,6326060620120945348,6877639814401780515,6666848320028720922,9297347226565574840,3174497498558946560,4102868542740626665,4547731948899335190,213417463796735262,8536832636801281680,3179012973394361250,4021032274521100623,136139915118290700,1588323962970563140,3578382829978398414,4729840062666998175,8769617733770019560,925684849380955180,2679313636677207855,1701494837036632935,653247199794448695,4542013184910523443,506006573773255290,4216787735673703050,345148915018342975,2070926048828502750,1478696267290812696,2197209439669488575,8387249853992808864,3566592640627275312,6672743527448121060,3248085780716174346,3941230680042519350,10709060126232684744,373503040990403326,582958491411833175,2159793055673881416,7185542413676778725,901590868513471856,1161364487312934718,786843634223780935,9400223414223296304,219590512600253010,3293909531442704970,1565164685181642090,13112012054038135185,5905067698666415130,191067152567753290,3821403214052604520,2371378859433027090,1133919167406057160,1417421278618558990,6280424504063244960,8091001562433130292,3032804389181773388,803946130060299160,2009896983420007660,47706121082791990,272610700646508560,4770762420048921800,119947116680204300,5997450329377891400,2220271254398722200,5507099436265766045,3881746708425894416,1334441327882321925,8131645869051318245,5984660286022064725,2006763191819339864,7509350769106754151,9883584876643231260,1405335066251098043,5939720838428472270,11039794269735163569,2109313545851095533,1002112804361120970,6664490731061062348,9554987079320946810,4280001079469597455,1129266023880124830,1869552735851617245,1611502104763366908,2719559465064537760,505211749473912780,9093954972051899640,57291429041333550,2864616654491027100,1411067921013713850,356958891513199286,1983117269550576582,528822534704060845,1321009435568550955,7738654639857280040,1299695083437012535,1273684649136024313,7093737824556815985,170128241351412864,1701309277132435200,1057949522324509160,9257204508789852650,3000409158124986090,11217840529525980322,2852401925492336355,5665291160289121525,6402422497515934420,6477234635999730810,2979868995953260528,2247864255877097340,2377173798256000908,11009916108546948684,2027995516979558700,310622784718021377,443753848456758750,5435199459321703790,7368351036852288546,1485836815276991880,8734155302446330416,3462099786599749320,4464043100516009562,4430498221151298036,3851565172997679424,492409011032378640,1856003449963120524,2738844215967140904,4279274982749215680,3720527205952167828,481852870531170696,3703169282765202768,5046093536484278124,1006622043987012820,5956681625028353052,4832488455442870716,639127617604379168,1855187963771399532,388737870773239932,4573749567161598120,2456202869158944444,517587344332294200,3090360973825574390,388812824042550768,592140399383578608,770136065762670852,4312493903331959376,2633086556103450624,1494058059036840396,494920238381959716,1338661803012374214,405266439771256224,2687047229275750080,2526927236733891528,2080594366815982194,2546876715181232472,374099779018227528,1141406240845547956,296281952856139284,1544057708522510016,3265537137496790448,93494237605885116,311659698812028840,2874909769548603584,431899532410572936,959814438521345520,505369174374029744,1263472566496795920,2050871196041846208,497686813420442684,2292300948222450990,524479221095050944,2031168928009110384,2044377971862203196,187567898389858800,1641283600836033000,628465431031616304,1739775501639194928,2305519476437930464,522879095892227328,1167257475037286856,1518286969235782350,2254612525959156342,4102850810047826496,778649139622298976,3555657001226503950,339896535186634758,40155192973867800,803135431289826000,5291325224401462992,4674714711996047526,3175107343213815996,2361952846899032640,1980828749753692764,3042357957952026516,2963748652795321488,1750961466311009688,834990352832104848,110501685162154188,1282793870009293812,1900923810924190464,318694843808724168,238452311980001476,1544218544353182984,2830999290751137996,1968997661807518650,929487199648917852,2326261836244865472,394265614603184384,554166843355215990,479368345523962992,2603429012091760320,1387202183587854468,5014583250347981952,298161254008220064,135087140045081592,673008986631454704,5659870128462367938,1498173601140496656,2583997390916610240,2954294716433978484,456879710433061512,1334727753741548448,624541283212515952,3692818111580250624,240507897279889932,687192471470995280,315363419749427280,4054832165554788600,2179855958848652020,2611332758110501764,1506650161197389568,2106806134082207744,2593185653484365130,3064620652236225306,2461320972129166848,2540820249636334512,1662535019807379270,339634711140486234,15330034359717360,268286167372717200,766562097831818000,3959209817706468510,654951627446524416,1120467762782520032,692156512081997952,373025880932615028,2693505270840216800,5215465506442150656,2872909935671192802,282386435381259984,313775068389056640,1267096062675294576,1052772165224671556,1315422122531699772,933504640082134488,2149703997765074064,563778414525095910,2606299512113264880,459352732090140208,4672445267458474704,1313952113008303794,2136008190410985576,1674370741434162960,632079994583965056,1040113954927173470,382987323613502838,1276674740130363120,1079504132307614448,3084059732344094196,2968371399143321604,4065440082531896992,2608897055051208768,1649728493830623150,1163444565002328712,3433574220526536192,3758705571006537660,496123398688743440,1250850155642468712,817695900360263952,21757548618300352,326376101766073320,2041413199845512790,23714611108087040,142293279382513920,1422988925351788800,1994269080998441892,3176962358954348952,1608766965294423048,1207379724590434396,4783805063179765344,3784315392679867584,4527155884650571452,1739200337463886110,706730576813939070,631547323097850936,2607949938969523008,2602999570971378960,3200631794454522792,3441841726937272848,1476606557909478840,930273231460244224,285123304111191414,130369423894162632,4364323658072324408,1010830334338626426,2657187308215730844,1386846336531968512,196083353538651060,2614547934677816400,412739487113330354,313630516702116768,2240306431713926400,397713882555657668,4022187823558963170,1508391677784792240,1472646996039322080,1114648523088737160,1686995967526347366,1026332337940396416,1834793966183755560,266094458201741850,5569073767143887526,305355083053912560,1832202870525929880,5948119676183578632,4333712967847926234,147610725988388868,2460275961177892800,462439280555462214,897928390606160160,867868864630042016,253374417654090408,3925543061897824752,977067331712916486,100971114919438896,1682918418563918400,1282674660836724144,2263690477773961776,419508155849178624,367572944113642396,1617273664051348260,4561790773258607238,3081795450776403616,891327051272777760,737140297897549872,278844778471615510,314241690700247760,3771049369657093920,1063993315220176782,785170266234080760,1865990126387309832,201025438642963928,287190553562187540,873329567830914816,184641689580896704,2174175035913449196,741509686499890308,299075706128342630,263872013851332216,2967455562493703040,4326369869144717748,137782621515305064,2066821073046272160,247867796232982940,354110859107397300,131550561051830370,4435137364354656596,1189313731090430352,618226848471840048,176340655609361496,881738163656968320,948768403844044584,434172442089911312,1742742451785286308,3545464819474235424,2709995587909883392,2634730318766966688,1786860233227428408,2988675385686797312,1946427642910353240,1544389377463422468,2229406671712029156,911496774844062900,2469925763095033728,3219473093520618576,329872242511653660,853240037739196608,228223306898403744,1834404357380669736,3925332660235987968,385672163031687324,3014915390254009440,4549757540102968992,1355136131323682832,1894331385291587832,169939509342674796,3965412248530484780,1621341603598341312,661095364149247848,3723948015532419392,5020282179380459376,115015523584341264,467261652462930688,575004455627598144,572652711368310816,919070394509730232,1889887076312229684,304406740427043744,1247128291271596544,1541720267661087456,5048239175729290512,575661757743620416,145583833882554792,44711190228834954,894259239164893520,3345547906397427696,1804995052775562420,1100255140859172688,69032051793183744,690347877313282560,2513597318537818156,173728283825115450,1111171731743457648,859542975131764800,786707019356272344,3138342496145437470,373900043369552136,1125533692786703736,793732154567946060,1541307269840279844,1357764922091719548,988670097836592192,224693571254431180,898809923061755760,1174179113861519808,1484763062068184580,1461476310315303834,2049221306778683328,3059312409875697912,1245865836797690688,1136742097405043628,738624716136600220,1365780803890372200,3397601088758310660,1277556599282581068,1617691195316705922,517370269981972968,4275828718933086912,1667096154002880954,250517011564328004,452549829384012912,560100804560973504,158595941553045780,1268817875649173920,1304329707881476272,2175158719976844096,2546113479890860278,861197843893412520,299125962597662136,1875850899009087816,3496467563901047844,1387274996029345830,3102232337797483008,378441644746846008,1084397792531097150,383132356787736740,2731944135675617280,4027160457458503416,1099281575948020652,130044004359229716,743138099035855680,3418087177203136032,714498256916611728,1666347843801585552,198390651794859496,1983985295803048440,189183386359697184,2348828139967693362,2219641232054567568,207298445615951184,41769412285726538,417710712209083860,5370779607175915200,2433376300380308160,637178248754625798,91250765121199896,228135974737518280,677139812966967552,1611228864967279536,5148126397637839936,2139738412373947968,2474861910456190416,56892367204901106,948243794773488300,2628451754341801560,917735327211698416,3807314797941280704,3877347307539406968,585190084871463232,1102660297645739184,1866562854512686512,552830649930889748,129876880446495792,432940141768245120,1722568151813069088,96087768574176882,1375763099105691240,16946983658347664,423691433652397800,646286029449812424,1220173406588710640,382745090839985064,2785781783481314310,3300455267364628620,13126318418170848,131268403469947920,1253400561213281556,556097605241009652,963102742298043216,2795993723531578624,257622926518109160,5796746374179251700,530577035754259344,1782929498149190556,3626405868861976224,2492990287136341944,335664346712401512,372975220858075680,2384666893178912560,235389208824295524,2652584151377155968,604954603753045416,4505551614372827172,1033034174656752264,2092425201597712432,3828499661994967152,1211095715999334912,4613743410647003906,411595135762238856,682795663664043420,648007352005567566,2698780031237867598,2266022662825093128,3203084689341249944,910428221452279632,3882194950516673076,577770940776501024,4417717392938587968,216698663211299136,2167072893910413440,648055174095258852,297882263868545472,461728132136498424,2228333806448501058,3318424299575313984,102349649359382016,2302958802792193920,2984860736761196484,164681956172836148,1907244817206803424,5304235717798114896,1780675637126164008,2296762819420358016,2127757291433934144,1524514671358390146,540585616865837796,1922485616824281732,221672611222264752,308885842757592684,508564921734257976,640520138465140576,2262854945780182560,2002449603270941340,5103794194472871090,340272787647903696,652267875642588576,2553820782641261760,2351353921076887248,1507081152957904128,508409513340536552,1348982031011544390,4442421496768249638,624011372932288528,921771686716323840,4210431764268689388,3856343332745025108,17035283128051872,340719242245842240,1135776076403806400,1573610117272020432,2234431417547045808,283763309645110600,426432464599027860,823782831056991270,1356458757847599360,2593735904091210768,1162304998023967128,917219439461925912,761004562249162440,1163646547516237056,311789195025117392,91142178981878358,1338412764134440368,827632592348843460,1113770811548585568,91953791868728808,2145674048455153440,1556322056507729760,1434207720281759904,999282062491556690,453462476170272192,3023203762563716160,218226276654152246,1046479970953200618,948166024645099272,2434164074743207936,3452772970935906624,1222202818538359920,2646117083636892264,1008109816270743780,4234755032516050812,3231607646455425744,2818281696614803980,125058296882895792,2808195639874502430,208890946308098424,1777238368178977440,109237391741861620,1613255091086243736,5288782203596327310,363389199817084712,564317226161069040,3518934750664687032,405122667090914916,5824409425064820288,2413418049000254484,2454844684186875496,622545916886278164,106489308529692180,425974240800371680,308272375553081610,4315985581303468380,5200224282922301952,2654021709505327644,1335982061529956148,3176873110217080008,4210255064726768484,2702440211340263040,2310067442307995752,773835854332843404,1020855986109952944,2486933254578544884,25871884001288712,344972232396665280,431232515553794400,1213905711527319888,2126826423896045976,190682922038447500,790568900522675712,3392778362031818568,809865727925263032,3958906272074267148,1164242244333200796,1291874048361245040,829240088227978680,1391505015884666940,202680363001203648,1801675222903810560,1270973493612416874,870565778260685184,1480073422759448328,348883587024466752,3925097229228763860,219333045010205484,122305130118120528,3196209582146140824,2965473459611287596,656860838292798876,2021652180505764820,2363684078740988160,2310921718221603672,1196607387653383290,2679458315324506200,3148769201372893368,2895404240159251534,3415419249859251750,3073955584343418060,4356224645042979408,39655326723317316,462663980037835380,660974975680713600,784900992231094104,2821930599796696260,3348190796957139984,318928909233570048,3189416659598776320,2874342385790451996,2578900026926569632,456406596256632432,1462578465798760156,81069831937118610,162146150501186340,717712482892878888,318954380998565832,2124362186124013020,913769580868830396,2916765886679264592,3330948472726550424,610825934653277684,4044595831871282856,1483797401194597632,1595657975181083776,3725395322987030910,1446195765239297154,1343974215528470912,4469430434293277604,753061976684143596,4508752814071595824,827757699366649536,2744989967567124288,5983243954219749204,3386267494045606896,745349920357427712,136474180833734604,4711302403135845762,4542056890953683814,204271457373518956,5272989458307982848,729448717476320172,187930898097334770,1982181320114426112,448086464487494064,428286151011389198,786105190747722384,2472789969034691664,645758409595881392,2061640391830852518,428925886902414108,546334537898110336,3414727634708717400,5399633063102375394,3696302537074981152,2802304651395668688,3619111848569699328,1296856327361097608,2837577463760414376,1150614248538676896,1713405253376954752,129173743755194124,5167156780860879840,680816542266227868,575922563800661592,4278078605855786688,499911853742688218,1058567282471359584,1143666663054820272,2890755768235661090,1442382504326712504,1629895463245380660,1956105580049113216,164796093867830472,1236020246206234380,1968591406975599720,653441090793655032,4462972565246591076,326472720997767234,395367830149759788,1956427621588728480,121346428950173874,3640538825944860780,5220527960606636880,1025448955537307616,968940903327117228,3431112836249306520,3745418267222142984,28696299969671712,286974507720964140,2049900118379901000,2534824785995227680,586803909672058824,1993169073534157218,519107075586972684,96496721772987816,4342526659141871760,1994135660045177508,406368245656063086,4771796554008110080,2084844862432914120,69424542980740512,694273282517321280,1045745692089168744,2134516884169746816,357860901981979000,1005095947846673970,1868636887428508416,1358485009626466624,4391403031951994256,3165059477163773130,258298835196461268,334389348148592592,568572311884912416,539271146574868416,2022347965249042560,495903919851636156,405646075419018728,1920916752181817364,2978728126515777384,820294096030434432,652163369975772282,458107646637921390,1554767640289051048,1109399660962186272,2077821304403442354,678314890138795806,4816225630286607996,3932834173906281024,224290235179252024,2242992415524067440,158348734219817856,4222802483038147840,2088834010556727390,77989599576006216,1002763693829106720,2938052443282267248,271708842974300064,603821680435850880,1445253032668306752,1950014915565724584,943156075703882312,4383490649365231008,5550141201342013692,4264727657865627568,3207990447170637264,1450135104935158494,665107106553259456,2386685250435143016,1007260841970331020,1377901712725322768,997798209030570384,2731610452681326720,1795755539860431534,2556206017648625304,270910459213480944,1248048253493496504,6209837328918996648,644025715186606866,184193708830772812,3161629796126871552,1036736156918608092,2700012436946331136,3450819300028158912,566401831337172204,3776164001766198360,321991109935649154,2862258262647376320,403897613139647680,2829223962196155522,2171346517143666792,849868214505342480,76450149105576336,1274220385242284400,3232911865197019978,3115462228914830256,831318793981456752,2052670927517726934,1744225451982126558,2238028715743780896,3596367067299963396,517313808969336990,1514079142798365210,245007952404495496,1087920034120052352,294351858413315460,560101421820590496,208494157629854352,3118992587861325516,4090456640314075032,1660728257593411806,1991068868980943244,2607732971835101768,244992689296727130,1808237174532699870,679248803317810400,1987110711872811612,3222706368246618726,498693163169204150,602320764536000136,2038937542803671328,1236276743663429174,373480418447876592,1012254538988815200,883039197044861768,1894146475178880384,835174819105357266,1389114462504768296,6094682086710164904,3019345473479962572,1094969094717641682,1197697408682878656,2224629302653362024,3523820722422393744,2592486234440166060,422089529905613664,108290903419851264,1082952636995597760,2627786002995500856,2386302338100193216,1173470126373504432,3934674356393179476,275408109947593008,2754192011824105920,408701801520649008,1204412726784294140,3122837157743221044,1674403451361156096,2466930777437536,222032712971861280,1726990662532766400,375737760113578132,1900989832054956720,5617345607597533158,4646339569122118308,1449643271214318048,964133957078633460,5440459756431144048,3147633656877108276,1822741911969033780,792740038379949000,953273385037857840,4093424815147061856,1875849913980420224,252320001449781084,2583782911809182124,483869210327277376,1024216962084398232,475602631980621696,570200823166104028,361970542632317112,3619851325276080960,3159082844873707136,2611722163525929312,3314805906459298944,3840187526161419496,2404553787172384992,1285411312927463004,584046115869057864,2203988936007423744,1322320725918247608,1978837671779385876,2530273891586342820,1394464664735143584,346968035369037056,4741390516194103464,2451787891261081830,115790845465090824,661688657551084320,2320413619527812844,1450679771264552922,5814562211451598896,1232238581530867848,727443813593570896,727500610449285750,116514617857091712,3495579534154466880,1669778104608062736,1740216307816726452,425686058023405408,1097147692714709664,657818823052448040,247416313522955312,1513531041439251168,1744234007914099080,449766132041917328,1277248192777009422,195686371638777888,652314227017325440,1405454918201135892,246047119857088014,1456054462276588288,875283470303101560,427330776253990896,610497176216576160,513497199601771104,968903704899484992,1951754358386861028,2284280916623476980,2245670180890548768,494807434011152040,376733775008891322,1358383013694908550,4335121613732176204,2997640485025342320,2409266244218355504,4153824390352801520,2378908428511038336,882137357179317480,2559377879722358772,1116214386529904550,1174937197004355168,3356506472997307392,6282816002027773362,4114051035025763052,2806304865454212760,98234789669782992,654925048079015520,1667048213494259596,2261322846240802272,168501891126694752,561695658230052720,58089303745495344,580916503049218560,1342246014706093340,4096143977076119598,253145672296923012,1295856914134969644,481258105821939456,4026147395420495664,266422940156902812,3160932563413602120,22027900768316364,440575817424618520,205534982013476028,982863833841609444,4282662285277391664,3904568318768163732,676919868789209778,2337985995536254960,2848446793700833248,4368108361441337952,3349820499813762612,6129080671092552252,507216160001963232,1188036037546105202,2075149865033571816,814402298858490720,683832655451889144,178060044368383614,759265858690408992,2349939315631626400,811423923062778144,1955469485771702802,851190867758504328,78237213431859072,2347211311144244280,3035783329259081508,154618806066010098,144701146289479536,318247017281052832,2727941896137390480,683190448344168072,3062690134786922880,1554889465222818912,1659365900122875156,4639615882547307774,638554634543139768,2721480376942930512,765390651030202620,2895076915716323610,3711802756975966944,5568080839647849180,1732900444436803356,333936532903729968,2138347333961144768,569271996781551552,496014776030888568,752467324600292964,3869747372702402856,5569580400137351604,5197354086099475188,1145586348543016296,934829160682622112,1629012144515000168,1559024299303072098,367937703884442186,524939655469733536,2030563641645408168,1733719664845879956,1328527550749760832,1544168842993056528,2342929635513595440,4280512878653278536,1091422187958874056,4902824846025823464,4815281480036687172,3500464315357604496,986812627887108864,1927476335666859328,2732652630928324296,1371220503746039496,1256322231389652406,781543147897364736,397613975390261100,931797230799227180,3572173203741861312,2273161999470741864,1677362585985505408,5460843560550881040,1012654837399238244,1181775147992819264,290879097937585728,99677028990571656,1246013331912092900,2695231610615664708,677040760490216880,2878269748100916620,1097368620930259776,5354301493213161984,1111751794119767916,193311540823728030,528065636693810112,362722734463873988,571347049431906000,440090949581718378,1480162297550865472,3558920417970811776,1859372472501859392,648059176838784042,103818613897469988,1557342320218297560,542819752495747984,1816730743076678826,3894915778716175596,330762124978488864,1598489411565159216,1444287833539593570,2981847350041850520,679101040731683328,5250022975296972288,208753396371411232,6132159889511062428,2911961646396305136,3805929654654825408,28999661288469444,1160033483147986080,348384429795746496,2177490974163314400,675792755253819540,3241392330284238790,915205124484092736,829961553419216064,3375820151025071078,1805820265891054944,3524482442438930016,1594341451362602560,4213867973820004170,1382174792591065272,1157173366941970224,1356660833687315280,1731260543724115668,848811563962342128,65499671676899592,436682191810340160,48086574865868796,1202213142164486700,1464914207081193840,915560555628668608,3965337151645310802,182512907855890608,834561334279406896,5224216023769248000,583109232114662838,4285459606619637248,2999593660049745192,121366513959313248,606857196317896560,3484227697570033536,1172903159194837272,5391542193943750632,2854958991299293536,284795105657334660,1898711101803929600,3125844615768623568,2514809893961497374,6130592392320814698,3305955585467338188,4466725727655600576,127600922989341864,1914091549148523960,3349354737819527424,596546617535346060,4635114033306479424,471534299142283872,1137851225823607512,1945942995046664592,96266077985955876,1444049806067170860,3510744815263030848,852623068382462016,137497328874359536,171878641118035980,2163725693080010136,814627922124604416,4205152717010085918,367907719376011572,925635870268557360,663751242685517040,5602575040158125682,2338890246889106576,1033101614189450160,1312038342723818784,1497961040419365802,24457408216296414,1467504111248115840,2311356441265065964,3847703536389395232,3467936532606810264,687262911313592720,3346092265360706640,1719647585399237130,4942021926090495712,4273477910084157696,2826035118835689012,2549121700934688750,479112106368695454,1673797201005135888,2691990648672967968,1518635581611808968,1242637154582346702,613899145573755440,2467913071267911240,5612887033788161952,1329023913858333444,1172997804843892368,437302049925176064,1549795289230305784,1035745571106295830,628993036348741392,2570765458798260416,220455198474220278,28886293085036646,577749352258586480,64657578495906432,2586408306027022080,222603904749699372,1220780963584951488,3770219571896933820,3543043034715269008,191640201163447728,4031796843757831104,287943742755487536,2028331124543441232,3332003813026044912,1900008813502730040,5459598576948609216,933900795993859668,2585827371958166304,425954860368784848,24096704575513416,240976848677267780,2065599876698859600,4314915854300060352,511406368353864704,1509181372718574534,2372120401786193232,2062636348363063952,1257671526011025408,682664481286280376,4191602987476539918,2082804888162049920,2525991236133518160,4621082053689141964,718769923838470206,550338903363704808,1892677169234962776,3265897487140990140,1519204697134544574,547917047086340352,1855311913092187692,1583108026021338516,327233232646542222,3106419419788512072,1168277740397431488,3196488075498077976,3015060734304127824,1627775589330739800,1017689972744092260,620771632920083736,1097947904966719488,4305125589048378464,859204254897586224,308588321584423584,2571674061554210400,954643105072132080,3459886467559907616,3487199785885572780,4849918698211283088,1204727469291465192,4298483494281762720,3180836139478971264,1737842304384722010,2579321137320035904,157130573398767144,233634714402097314,283914566129761336,5853095527467348,58533339628066320,1560952643915534400,2141474689817706864,3582425373181978752,440592321655252900,947272001506051824,976311676430821656,1266374068859479536,694461661528182048,3429149194236759444,450258479149451148,2001230341902591360,364835891108447328,1368190345551854340,1555190313099492180,831611205275103648,3882515898713479344,669694911189666894,1986667888678993872,2506783212959702096,194567384530163700,1556602522425961200,349024777713262090,4593136797224001432,1107715830062408064,858077891092637936,232217612606743128,2709315929374054560,981307074081837660,2617415719171947144,989842807416731076,3128657147396382624,2201377131535695120,874175910646008390,3239993428246116636,3940953059961520992,125419929739831008,2726444861029543090,3431255900818027926,647878266900488256,97612977133480336,2136739608741980304,3262291756695528084,946859759741643376,1918034072748129024,2700619151161359420,2184531811356269630,341213268703707504,2140721728407160920,231901470908720064,2061430500001029120,1346381952822978192,231750771293298288,378658708006197564,474464291110375392,3415603357559896888,5603090496963198912,1648768211532281592,2645674957808901290,2270658954513761784,2027115308401738680,3036699026402977260,748619886669917328,678297642077176452,395568066856335384,4870738183387647312,410265369013761924,2768363160589038400,2839707971136473340,4919227465576212,49194282572601480,382637815995808800,4373182117516032000,496675854173145658,4240596087416925936,4064369252704768656,1150231829195463636,1418325364202243550,4237926187407815052,2687604867695866736,1309712258353436064,3467778976931059296,293255074899582832,137244781505581344,228750642891623160,626181321051255768,579024830895618624,160812898653785616,536064886659957760,3843218789635503726,2585304220398297390,1379983858679754552,4403014628624377728,4239261773687247984,1300020522719396648,1630469471766283104,2091946705665505440,510364561577725052,3777666845616968958,1931370269333640480,41082403237929236,3697567343135526780,1663054352898451470,3405739934867824488,4200864950363131872,603339261316866786,2421652827860417228,1231369663721278464,3751570814223488256,1693462635904274864,4070658464258019660,2693255383484146404,2043914723618322520,150679142930651832,337863660710483568,422346836212795040,4671678006503830980,1908002143305649314,1183798572410570964,914094473948860512,604902700142775168,89524463665658096,735420403488715512,2910010179186763296,1199811713685273000,2457574003987786656,2033308879639694928,124609769760748044,4276383922196455872,2185741352281839012,593298889154198150,271833111475216896,4532528636420947596,69590385758417046,1391864627555468280,553368542424137676,2755387438981176880,1055924481794262252,296596541068049358,947228166875047552,2832802320330091224,2248280561783311440,1572872891642544436,332824074821769636,3179140507049940288,413610566313466810,575651594060673090,178563502160276832,2380944088517014080,1784351413187843136,824908357841215164,3380153523102257880,3886340738883140736,199626414686262918,4658140249977877180,1216381508605598280,295614433107252564,106484523984793932,3171730216041550746,2697099609262352736,330231062935824136,452198521352352852,1233122198685775740,2956364340665950368,2606319072040236624,407832719159392344,3398745088737891400,766274358268781304,1873891199180946960,1616134672093103154,2385394902850527828,3292427214981864000,2756445396817306700,3659133968199105606,1421765395595288172,461590598950232584,1352393729064100032,1851529033423199592,4553787218412066498,205085261474184816,5469164221409288640,836853342591406564,618565084334726310,1440821340397433016,1570609440200912448,485487522736100676,2588965055779953006,70389469751528976,1407847047007664160,412741394477721036,3184874821254731040,1325021341821350208,1225066453508747952,4304084422132992056,440742699254645568,757687697098147584,2197123815016971632,995489436985017012,5566389600470948352,1605691074547653492,2852952891093535104,1422836250373486824,690641605870233542,2895628384581946416,2716700247299948880,3056871348090675346,83882047425736248,499798410693663312,2678063656844614120,358600556030551302,129499908817851600,323763038660488000,381556977838737552,1918806018690040752,2050205411693654224,253496788986642696,2766836549947472640,2138059755794555704,345778603937058798,1802706526552932432,2654844025108953168,185375603217737904,1700574224936588304,697057891406914928,3247436897681896944,3704329102036714542,2175132403382532200,1309857930970937568,475514317246065984,468042642549227196,589720592346578766,655271967913214280,485016326033572928,1493772268320458982,2073811739716686888,960927553145288432,4646777567220050112,799061059714864230,1179931826869442416,512002855072864464,3324035389398943296,2322839946296290920,791064201685675716,492110101745366832,1052282456538989360,674614787948133828,2798969652928815858,999145289554420768,3173823410708600928,4662510480812781828,1122592724906395230,299084671142833752,1972363690198702836,1344038599934172964,2546356316141128806,6151194847933428708,396872887425251672,2744281776088168470,687130356606563940,4592614122639624192,86681942827785360,173370999440697840,302746995087243476,1157859179892744672,892003310533953408,499705818072690972,468970713930413832,1370433002399623224,1370689262692591920,2377292391969405912,434917457632603224,218658727524202592,1640007769511852640,1757813968774190646,928648260628198796,2443183588311516096,761566274760453168,1825593090391797840,1072989886965374736,1875827773804521708,1049297616897786624,702529342088233878,580639640191205562,2013106992356180352,158637151669910496,1586436653837958240,4956143600084798844,4439612701858515084,4447931373234584928,5615678105128243872,1018357743985400544,309648631152449664,288772843226223940,4620555246814948320,88540185029689296,2213595537728229600,897917339849666976,4529966502246668784,5173305369476390384,122179131324121368,698195143317452640,1873393305912953256,767033985245220576,813434650337011704,2901482111788178160,4817821758165652536,335678976080507466,3426964167341223264,4757163844882168512,423010303409170416,5450248115001853984,1081399881747566196,99381420432784800,1391397058114415100,4429589351129803296,2070728529232457952,157295695693082036,277503393529015632,5363276537809442832,1747382866496228948,689387425597115664,1156134787186261704,85305761560991728,426546339147717120,3394661158453617900,2999379076529946174,4168613923109405748,327405079777095768,2426090249369630976,1824824948916375480,1799983225458238128,837734196259688848,600956981860645980,2151703583470548576,2147325283523097592,2069241952359134808,4046681405271986544,197064842085396120,788291780641647840,1763509952844380400,1311823376475763152,691607895304617774,1350897790875183990,1096402144270115224,1826865568177356288,1038344854886791296,441997545684641914,560186792250414240,2414220913127023704,866943570168804380,52489296268353648,2362115489107079520,470177742159244024,392787612178090104,2021423790408205140,2976918433146393216,3912118714613176848,55627576839357762,3894090577788498220,534593931747926292,634661787301268256,2697345494475684228,123321179150897472,3088618802451339984,946029907962989216,464034181374961974,2303309224956816216,2912932044464768144,4546398979471515840,5220332526948093936,172160090975336838,5165015286091978080,4246979378661433656,3656964714634252356,689295342560314776,3427368210092198016,680374922228538336,333867974907163482,926143130680151832,2536882304517063808,1181004183711064704,459187424896041072,92578178581967236,1851639796686329760,629212170010963872,2156927692645136768,1616252960436539382,2826495495528910848,5907015969171835464,451314479590358970,183374462376749454,395177569104406016,355183910924238000,1348926555078145992,540438390408592588,2719919558961803160,1211332003086430908,440444476574138750,349816724422335456,775097661406796580,777583125692215136,1173783654175948794,1258149120795971880,2134359572572206848,508939869332899908,308732001080783148,2058298124261225040,644335181928907416,354111115862739264,3309190252541097420,698467682384354430,6093709695590017752,1749444080817041832,179833661604493380,2158092852303777840,2867355067011751104,4816851215007979224,400671100953803322,406267494239730130,3696682940195907840,2699618878302834096,475428548296339168,1405139762746195614,1449486224276438016,178927337559393920,447336779406178200,378492838259922570,293024120471505984,2564066731956455880,365173305038760780,608647261730175700,322662372504726384,3101466287934777888,563947535180639496,2382122396392969128,571619607457442976,464164919958554056,953175994270826364,1472609859648119280,498879664126525312,623625290884719360,4230649665468490896,1503635851884382032,1084466335078159320,752595959281074384,1062773384488587462,5930195632396719228,502651220998938660,1990317600265420328,5442403778233584624,940904199656158518,504137190439295744,1786973141343413220,5515581380478520608,1212119585791079382,3910142726275397220,103666701156640128,1036709771791181280,1711802432315922408,4134610493650783728,797947946744503192,3063254108176655280,888316964246123160,226027714073034448,2825462986393508400,4203704176408722006,699458385200004012,1335118742834366592,1128757702337223840,648869270299316066,1437288476160089658,1829878719419459808,652063151487787008,2987385934975032768,878176461518132490,1065546480375929008,2475264779894683764,2339119876481151336,145590813877156264,48388927651958688,60488655973049040,604911525487163800,2458492206854799456,565606679237266272,5415378988415052348,240421712118879492,713652093547707042,849666987320207216,5438781518129985024,298655628750450774,292878388258533708,2286075754960431192,1492880147313722256,1085313073672286910,1934282226539978424,4512873477574598256,5438856763074656384,1483012453437259710,228418579305576108,194474536503910480,388965134148203640,1937982258530111430,2403185919171493896,1589025785319116424,816700742617123584,298207246364157354,638630014207473204,758382923433859872,900869659277370016,502658574659431668,229877582619854268,390602684375393652,4054000357350618696,24212540455694316,322847208540460320,336567800070053376,710489872281598488,2766777332071881348,1091567682174685536,1678935769179750684,1603717108176952464,1134496000810444824,4000209562946338884,474167066906140248,938459219654451264,1852209723549055302,2713080734536852988,259149973683232980,1685653068549574368,3583008495976885260,552799394105847516,2374594295053934016,1360934054211948400,2033145508775220144,144264926054659056,721354443171132320,2849492184207510528,4671411976889949984,481348720253164938,942650771118242112,618180674076312840,2563129123364857890,478034394353941008,5378109254048079720,924564042170886240,1605567534354925872,1577614101805757400,2594939272640958720,1391294986100404704,3493662519217692384,244510019773783936,2750851458945668160,480493677288943296,306840424897214776,343656283262952528,809823252826419984,625525594530981628,1384169688766745892,536633023811847048,2041198371800075312,196312818642056208,2617612503689491680,748978946546140704,122822957154169680,2519025378206115780,2764910254390336416,1566977886178550568,2358246024212395680,99097551005304192,3964066013151817920,2429427031420338576,276338025226806304,589349329241941644,478883030103268860,466061275257941972,623950753822870608,551356902882946080,2267366516407977108,154625536161410010,675285428406403584,2158005539116104876,1114640886587279370,217316192007776136,3803190734271892040,1073488428122310576,4068136978622838216,2288644140341731878,1102644332940437352,248290297530188700,2483005736417205500,614686630299426564,689680141147767648,547283032878120352,1186922990408518134,329697999170060850,790991547534278592,327945446955643260,377729301019061772,149973062959866730,97484242361992224,487441390546222080,3126620878719673368,395827987955371758,4750686403748885952,532799578862052832,3638091326410568124,2320666878155333076,2407971582574105704,2306842109493045840,1510371225652373910,1412101842535917056,2639144208321776160,394191101507101272,2076580654346294752,549171513671981310,1861912008439405620,844176023850916080,847783825936335912,2002064105500650864,970800981835356168,660759515780598684,649709010891770238,1443857606777218840,4783566619944006972,2082209524914730008,69480725375002876,2084508110538317160,411344668793310672,4334682012751013220,2289747003252682680,1546577740283329908,60051973077739048,1201089223307016960,386627594283481344,960125150966264184,1544121431657220024,156391681546169784,521327206711651080,1279948497781699386,633030308535716460,1549494335174848656,388377222481503330,399743876739562704,4497304990221135360,4451574829496438952,4355071986388491456,2132949328308161316,5177486128921419456,3936783642821350272,36624225140799468,1465029729857616480,3394650874160931984,272781705481239400,3820889782336426884,2203886608337818032,419472180139702108,5028236970749685000,2977600519687193316,1797204666228237552,172282618598587008,804525930619882344,1499071080596682402,2530327852994088672,3038813179443205632,4200047152108336896,2716567119492860916,1137827791619302896,681564308427066944,746329455210030984,304970078141621838,695879823179460580,1992373095072703644,552062737429132752,384778720442712708,3278844118529797104,1586874534980339520,1575030151324507392,883073605047889788,336877483678725528,1925094043439456640,3116026135047738528,669449758578325344,544109106416035390,360208064287837224,4829216629345313688,1730628921403404930,4390542390235960416,1173518516363877108,1354295099289277000,4191943514951608944,1138235737779797424,6251010544795979952,3127285295288852256,802445137007587290,1469295529709298654,1582043296855545792,1221918516712609632,288713659703208496,6315576520451147658,2303746489589764920,472540003821884768,354000531190243788,1251268385862109824,1495632515903648752,3396632844255407760,2115589240315919574,658003240154020856,750059605966777344,1252814600853207144,3724110514821912950,436556418990446196,4350415125908069856,4834232868631056464,3111058039246471314,2163617911454899056,1836657943911490608,435034023569477496,721090268939216298,3245897413410182030,3953479200101458128,107352162295275744,2147132399057467360,992645508618121908,4702748528630671872,265904377381006848,443192366323710720,447779911823776224,1119496270079916960,3934389172872259584,2166040945727877024,308987967193822978,859893210768623760,1303912852235833080,2515381161181281492,544484835047135910,2363722525107625836,4124261578446905328,1227409174182630888,4690623763037489184,102099596974633472,2042076769976098560,2906165713951291632,713495058950486452,4531258884285607008,3329994907323751392,2203500209600482990,219289755262305024,274123583468455680,551281596770137532,1208021121558354366,3011899839185382000,915701117038199520,2072649501659360040,3462194753965816470,1694908693718855208,1614854355511559184,2169707767002550368,2085440209444759816,812273644317856464,1140111032754409104,4614648425720995424,75496001297218248,1321234937926699740,3412808576125716864,5522819050484396100,292411389284843652,11755931025946272,117564197239509120,783793896942566400,4484213176700358108,1795569252355457172,139712464482799104,2665725798811213232,350226428507994744,144790427913507846,6454098428144045796,593663260816816272,627576368480141388,662565381834146136,1167326028356000832,2901812980518147888,1351222013973979644,707577222960118008,3586070569654658592,288235946593495488,689040129518800362,930289690034671086,907472940766772784,100085080596937656,1617746320417323276,1507381872702515766,3821051709920772288,1035620010514603008,351524289996648828,3515389125360907320,15242031303633984,152426653649756480,183921253674566508,2758933576222397460,975240662926959968,5293249408112968512,64276998204608244,2892585261800124180,287341134512288256,4070144456255351448,792247441542142104,2585651171381464080,439259721231637764,3416606662892441760,3918474271272744288,506853447453052524,2031358297946423184,918815117300203860,1121128632641556504,693951618043341450,78059861118960888,390315549683041680,1213578463758110950,692415540645250266,781225744696505136,1151614075326365532,1243631295012827490,2497155409023257088,1731248493901472304,918043837166392704,1373571998959517028,995075715928622312,1743102421946592624,5467144225021367904,1692869997483446418,1325617003690028172,70871611187506104,1063118429479996560,3140785474045131738,820716565702130064,1434208100599020032,2292046772206473072,1717838964771685560,3533445047074496232,3907446348519950256,5200858203603303936,1277049678816779968,522451501891017264,188677979446660176,1473397029448529332,1277983433754425376,1052287392843708768,1043261900948453728,5139591118062095016,5212969477279413318,5284319926318786864,58051695702143616,580541138708266560,2902826609893522400,1974376833644015262,6437627385933828888,3873969637102207104,401086659518758806,1720882388967338250,1524900544541010672,2047854813983728632,450598243252346004,368228521745547638,1578187990637579160,1007698014468927936,2630448206562095370,880628791919851842,1573341159411720864,653697379823998248,1067500163030263578,1870587814942321308,2192412951698420064,5751810751125136896,1756780238977426818,3595771795398311910,5281408109577922344,1462047536249116872,3524857865681364910,3553307548877259888,188692951150328880,3396614696429981760,207600380633813580,1519699406382104490,617891645686289856,887087527584157188,81173130707295984,1217647721103960720,2243923330316827104,2820118035660291648,1766852424164909136,37380817023715080,149529502318919040,106138268881115424,663391840123973700,1777099067861046318,143653137009936696,957727514613142080,1525800287948249232,283367944526590220,6140457093351112704,1899960595473789684,1925343676948659888,2701691105637699120,781107275178854604,1997312587201659440,1282974262519857960,1609249619359183752,2865490466890057584,1466428355048373696,1452989634237942768,3903510500461538316,1878521183578655352,2672633009355079008,142932012746276790,4165765240272085836,1635928958221441680,2651255112845779136,3361472531543286288,177252566047220790,3545199225852925200,214042524000577536,267564318247572240,469762028779964954,2570819572321441056,4552859430732662196,3725834606049853512,2937186862992100296,2895657297427881648,1101884190258913664,1096376383706764116,666151175830664316,1942331589225149760,1239816576859495560,4760880921144030144,263022202016182272,5260663596339855360,1380037338236291328,1391761792626214910,5185561682999793798,4888048994095882176,892992735435015328,198658685339210352,1986669781464397920,1102055496856320688,4925111099003743032,640628514141717276,2072039124456105376,1909306468621251120,1243132181718166260,1290311202365641612,4498392884942887776,2818051401154893336,1956044127101219456,2928082103818798410,702212505698746422,3557860551554916024,814401780601006980,4044543915760747152,5735435029267005216,3849853907958084864,787057671382010208,252807648568356670,2866524780942842526,1193992113105751680,712880279460871632,308971008399058608,429323425043287896,694424256040167548,1569166290159683280,574089241923903492,1320296684400332124,5735914249419691200,1615154971376574036,1806295745143422544,94353725380689876,1415365006629344760,1184546910711346112,53621408672576448,536236489201491840,4224949649698242192,1111873488629109696,5222042718660236304,630423008813237764,1220531872898905776,1912122946939852800,276133354109761940,5147406823342245264,1071784065278835168,790490545211526192,501526854444085632,2363787825820038576,30285243377687472,706685211728825280,272078171925142974,2541299956595000390,3286782517739992320,2018956132043164512,731171063790110416,705334274839245816,1152043195630111488,3335189893795078960,215669138642733174,616223297365731240,259909348908710912,1685242721219795388,1357560522242632134,97899774445482848,482185264442268456,197096438565101592,2475156475833511960,3133729827350240184,452921523587925888,3963229034138737720,1980296857738416312,4175814961754365248,315819437470541688,1052775478862133120,385259814128339784,449808577411911108,136750988705630112,2051350613391924720,3258836454431203184,900884643374110512,184930308539890860,2219256515246587680,51257126884811760,64074088407195900,3203838419094720000,2995140165898419072,1681072785572712948,1299652026098695434,5111355434957911200,3358026213956117088,2189327531726667144,5551302992217363072,2030862065322566952,1369656421662156488,794865483467651928,4075520629879014144,1322016284404454512,5589090187240686336,2349829020237582114,1202792550331722396,314186390719573680,371279563602770448,3404122647141298572,173526022691481300,256969477086934536,4911196845039742656,1694453452152534612,5457454383570850278,1047540206798322608,71503661756080224,1430133085182651840,1853668077232282872,395577975465553248,4633506389232884544,2462751067015663864,1204795116205783260,955160492662734240,431233040646874848,1843309076985638550,454907642532040008,389220486204150524,5004472880150356320,382586857506461058,1017440665160702800,2660266867119905640,1135478143093292064,5436355635962940208,546745771142378424,1253994109607782296,2454118917746976368,2184338828579597184,1123811569937357928,2358003863369583168,5717598811881351648,3404122307423275074,1267159461851085432,2092717058210354160,151761850795484064,4553046186861679740,5558032097784343692,760433716219679136,1255610881508722992,533173974299918028,296541994008666636,7724114209825024,308977509159751680,1158714190354003200,1279796792351051760,831066858062660352,893424997256002776,23672370747163584,710200871472458880,145429388605356372,1427310215935627936,3762187754169350736,775083386605050072,3252070230983326152,650267421255927336,2880538415076972120,2300467307302401784,2824952806058161140,1390519078954078536,1515068386426588672,411894654866247276,2069567179551630000,3037627853182498940,5707205707347691470,412530983753682012,839311813950814360,2944516973515741440,1381107163090762872,156332195934166596,323233005920306112,400774205712176568,3339925023626406900,30738434465191464,384246535283620200,189562158713387768,812443304128736340,2418682345809910770,388338181894515584,1405584941152151520,2190832490586694464,4623848997261938766,4814950028160142416,1628364177502681728,3312546358925326512,2630809232095929744,2893514811236718768,1487274505495707072,2280126064440069558,1539694429854152490,894980491191075008,3391470543989713752,58590755100244770,3515592713603544600,665316304087470192,5735253794525825856,980971183354604804,4070580259723580592,420569924795638704,2803917081671011840,660167943781019532,2655708381814791456,1753177887345400960,4297913449522831488,176187808838469582,2494760578400482992,1089689000808647448,1006361232225837984,2597344214965790598,2634203318820675192,645513395892628992,1029768821880732448,3467414760210442140,2263269137167754514,1721240941724299848,1922358877227038736,2331826315318375020,1866028154770096812,4115197363071463536,5435199575497603296,326026062111913578,2407457547073864866,4209643505009494728,1099720466879353520,5708743429842454176,3144517680014429922,307454476839806592,1708152103359566400,2664408696306998256,5076660944825909390,2821310161558332180,881076355889523072,6205217469464691450,822872838938144904,5136339979969714368,504091597912623068,3486367241506969488,1821680449482284298,751612158264312912,3565110597495676152,5059309605343032192,2634794261278525808,92983394618458560,464936489395637400,1127974717587067416,392786256668528028,419490111117435000,5491468870377050304,912821132366802432,33932132065969692,2036013401434774080,3764229622351172208,1853735236906683240,1370258371247158912,1575576016389698904,76419164380481568,382111866138429480,3803755811331449844,4557748989618032400,600003219563894336,332739498204159984,1901448408586066560,866649616606813464,3938345380374178752,4273042600800247596,301205839424578864,17529926917629456,701226527158808640,264452382320849908,2469058542745861428,2359433110294220040,1472560508469117480,1844425592052519168,1731083186821084848,2606662592987473152,3730840730720641800,1307887434344587620,382009062378328694,872716871133096660,1350230117506458336,146887408660256118,979290532427381640,1141249106134297728,3409041832141143220,918175259228456112,3223134034784589552,1827315740944940520,329508195171006960,5931396737504265240,630711775451370848,2082758177571086592,1473468165270819216,3529591387626335584,2059634186185480830,796600667532580020,205782129107664896,283733956292007078,1203410113169188428,55042869399247312,2752259141716616400,2585997712717429662,3823931452470893964,1230671759102257752,3001724494618739520,49921202679688260,1996932045088173600,1558021930658558784,720237383581855128,1237909383042980952,1573523972600695416,66060663686915832,330317204613311520,2843058781652435184,3996736211084144332,3425626612091265624,2514395629662146784,461602024027701370,986621292566048496,3981652918821481464,668840854502973808,6488212316121936648,1981584628565822808,2389802409145181440,2123857184646454488,199274777511975936,2989247365638620160,505326053678402568,4034256560855860416,2159615580640941192,877420945436807310,787031488884327264,384596671659659724,800694449006512410,1192551662455521642,1702973471342915380,580778687330720856,1329185421795170808,4887931914988740450,1849538400829080192,805206742171963416,586407116891435180,2769059983161059496,608930086570369596,536464080803552768,275575344075351924,4418244087190616718,675471540835756448,2731544175667011264,1176798224703496710,1499566088453029696,3426375007839703752,580128216320030400,1450381567441031000,1058275441530176892,62321287407581232,1869717298036085640,1790823250973605128,2219169798349772898,545141312929832328,1291280753688196608,478847942203036032,915364810538795484,155447717583079680,1865451120805025280,718794422499002544,3605243393100421392,22240958083801728,2001770481761118720,6563905915181087772,2263727466259411896,2133778991325631840,4238921762802698400,328167988385270730,3281818032873400900,2912806017385356240,4735637389571551104,4114037938647944436,635742947264636610,2094978451320304416,5765114032887304,144133919089050900,1729679852896527600,1278317703753800248,2857677322679074224,342649336394015310,1738306693291636944,1211432043859852320,72789354415155384,5823393569301597760,4370218208527332432,1806348306404928864,67088441667261920,402547602247133220,5342531117859749286,6284737011241185768,1490174449585464456,477286387244243748,848114374973299644,5986427598539791596,5313721684480635264,3272642480777209560,2229620215234966656,3009856193985726144,1400381927374752224,2026584428075989056,2299203998826813936,2537561466614098980,3498508612405150848,5309207187603488442,657965393190116662,2358019155817910208,1306904732884808952,1087735695659875288,1179732141209469348,3747552683319622656,572615738120838192,3286514638440852768,363195545016009750,1907656676043658848,1832125803898099440,1335861127499118192,4118301927921859584,728926708496230152,931430943173184768,161880098201237496,601578789332438940,2269499920333426440,258911110663172928,1726146818946380160,4548269538404345040,1758136468328189712,2592781297170242400,2431219836371156820,3289213884821466636,656592156622320384,2847287956980464160,1789786487624711704,4358255289087496500,1550635446572818668,6036198614501736384,4254991599439187712,343911734523942462,1760028198723149888,3906173019914194680,3069278800647824088,5546055278852287956,1467190892350287216,130337035327592496,3320530713929676324,1989436237906791114,2367885146842847808,6023463069317067324,1383957423340914408,1517615512175923794,1301467800329597264,717736506513653376,4702460697261492096,2505225137757711304,2086145210582372736,2140421987208098088,2829939295728191780,3664923862720759254,640154336403768600,1392960168228352752,978015071341441704,3096265578393609312,823409427185891840,3405952624302441504,1008876902853322620,3243534104259528816,453660665254508844,54016233585636480,108037024578016160,2966589895230807966,1465222319555227920,677994049472353932,22218772769188542,1110985508903795100,2880634152403872352,3987234476462441016,2701460149288131720,3727749815924374020,5568763684791885696,1006221729342042180,510241881492475552,595584462200677884,697649457294449316,862575604572019968,1961969777695779984,4238090145456687744,346518682026830712,2695259045985351720,187096414521860580,1288650793449569578,1352347226960133888,1875213533387285280,5211433044253057944,4768536633019384554,48198162964198176,3856015790156339520,930958356682219932,193192212967461984,642863276112782964,4476334922547276096,761627487725012736,443266032330939510,1970154422335243200,3729216781703900232,384226615883943410,248241407413291290,453229798787845704,6830297794128656,136611723489783120,1366174914603069600,407201505794956224,2492425807232915040,107029765044067932,954457717938043974,1554947429055685704,1116423636543773760,2913481738865262672,513155946734578422,617681563043249088,1422265443004497888,377681900004605460,8853832127501262,265626181547062920,2361221333111942400,1388064067262878164,502408619367687102,1526035181893811712,571188064510576008,398706812470290076,1118715093361193250,2196191103768132336,3822599223111868752,574584210814935618,2867968786660373592,998948628229708200,955234314625845672,517691048076315648,879214023328560144,6229422685241191224,723612919509805080,4165430611207031676,824771977662624930,860335720746644736,3404047252684028940,208598270805939042,298010121036988140,2882034846428507088,1277849562876504576,4438465871537489490,1647309440747772256,2109681858984729840,3016142906967966096,4052275600994295584,1089569390495455656,868090552531394940,2062822361474786688,188689099717355292,1257980495874686160,261195987992054784,2209526976995238576,1241270909275793010,664486314816150966,707550081523977456,1167089984323507008,5907692177938254798,1067247018539058456,177977308287560184,3559696635531138960,5243979725180651568,2093902298722064688,4976675628934143512,1617576067482956280,1971164707115937588,6138688864821062004,203226334779106656,338724878343981240,370611263093181616,2757444173363462688,316713766306263876,1205865357216845696,6766403593435378902,3646761641228516130,4034822549329383616,2586154048410941040,2583299031575761776,2113313526925652040,2725410153580826040,30531963682720896,457998823342071840,35015084585928216,175082827228485120,1690884253436118216,1363807820829871926,23724045671141184,177937868185919040,4745210514927513600,1943792301554206254,881319447697071368,3161488632288089400,1135247275909941408,573355102195055598,448842676882031898,1426984067060199000,339710413977588072,2638248466443071412,6737425521861481776,2069912461787272848,826706704796627616,1391052548061274590,3098863035945957852,3166536302392078080,1163363725917431808,1927497415624946742,1911261341119025220,273856541913768240,912893765844421200,31828392235834164,954892171869465240,160963792150763312,197139379847805216,230138464496741526,276685333260864496,2075227818416691840,1308225238868334816,4658360257497469840,4795887873036650778,115336798213244724,1922361328437568800,131210654054832780,3280405190356393500,2568640488558142240,3008932321220616120,726231428084088966,916955530539605084,48683765631834864,1460574793413017280,332116719358410484,296731741234053312,698914964520231984,183573224633953956,969989601943526256,1666778433114166848,4567624688026778048,415419878055985056,1490136183544595400,4899283182594517668,765531009156105504,1603920613728035904,1364940958572651900,16239398792883246,270668107078343400,1624077409944933600,234900013270440132,1671573561646024872,1187005806700553280,346502184644316360,1971712853251264512,5418525242049542048,2875641067626355776,1511075582514688704,6752933635491437076,5530897193381399088,101410556963929992,771514800740417124,1503989892133838010,5895872390952671184,3338967800707912296,2123566277255199168,3448426788757723446,413109077456204010,2754177179497329600,423800190184575096,941818096112601360,1158529285940393556,561810097220682912,5825006531600851584,2480115673718797032,1039714166076390090,1308085422678927696,2865093561966186900,1283322523064873526,2940907642351353300,2137210615579444128,1063388910210711744,95307371728173486,953114101961803740,5435409752292031776,5147599491750717652,2136054144414761208,71366747953983876,1427395445697197280,1611414560951296128,132513568957739892,1325191848616449320,4499726954521710336,956609380881485316,156688987616421876,406559866995789408,508221373313104560,3735442636666465648,117683910550727208,2059555728455821260,2670642874061297856,1832407513350665112,125817395178977496,419409095236627280,2414890659713463720,466081356400505280,220961999031573976,4419427326809048160,430232749269366384,634218638275945408,1644316646894283744,2789379120712205124,682321540786794608,864558354110098464,5797166400553913352,2975040489451832832,4787895608253348864,89293043075853408,669726219951335640,1787089371765419370,4310738387954531136,152644424135845792,25908734837530044,302281391322611820,863697743820756800,3141043516186775640,4085423246889950688,5892392720628345216,2134551208248960336,89889969928260192,1348406735896668360,6560889252662118564,1370584506552646608,13065816117420576,783982218956984640,2736687717869962290,631591015554324784,541852649846721792,1204168077402068640,704709448364832658,211749596032561272,598489385584961376,2672339149259942392,3021150595173863340,4350260503489381128,2481887165561305872,1014322339773614430,684503321301707352,1534266505404896256,183994190852013900,736007990350228200,5766426457848061488,2297332400948596704,484605395078894208,716140303568322810,1344683784728509476,1930350888743362992,1062792193495811376,1004811981700681008,2317510466292434220,148506127289435856,4455372889519548480,2919545351176619430,1035071364822249964,1227675181766143488,224239125706125696,3363729644762274240,2269981264334551344,3894382260065879316,1683368079405210016,123463262319268494,474169297929044058,893030862072671520,794930834554610616,2208265074293528052,5742166859335057428,2655350575015895856,3341932083613141560,1196427870423090856,3284875052072815290,3385048005963700608,541912641318097456,3843588719156593878,466319213257757310,488883998977591920,1951574858614201392,5818574123112769704,1508387996894894848,1453741842186019008,3772294485562936404,771938278257685820,54046529540679990,1621464737234142600,535690356090783544,4045711740587154,283211848348809660,2427633219433276800,718345882757022660,993814427306667762,1371459064055419896,2680876741409091624,203051410352029440,902489041807321200,733218938611290612,2391309864657580680,1491953552946420256,1216318333273078152,3000383948220997272,1937625043098096372,2190442031726598432,5434082579694231648,2116398061066842558,991957444857802080,3682020594809385216,156436443036214220,2503089422684917440,486678593194450272,147488027673088752,1474942937624107380,1377120805151190576,1972743410185472960,269986098041307720,1763469550937816082,3258613609680534012,765179322962549664,388505948095734096,3762214737355469664,2212699262035828500,2554211293207552896,1433342178084218160,1159069605156859068,3667207726627985808,83456138830215456,185465967828741120,1318526767479780912,492227529141601184,468002900857251048,730268799597781248,1122409738146734664,3107983311810262332,4225935453204570336,4884915967118793032,680600944993280076,371537976847264746,5976246631510151424,4835486570204305296,97182670093523298,2915604037256677020,1689017089225977216,3156173705678111712,909440139285742624,6586838567651094390,4057084630048974984,1384431944133619640,53636524837720206,1609164156827303460,21240686398918236,1062079474715024400,1792757309542079436,632562361761064578,437438580681334848,3962565967397970096,1490594304049355736,3103157387993567328,491832899441616480,1229634535035526400,119107538033778072,3176336083320927360,1370762677625679720,4556673240074796744,5770289707332719856,1357537619925641528,2371901942304390552,333300267494086464,1388696487949869880,485859789490613634,275306975859938688,3690724769067578656,29714705088068616,1485798450265021200,5436676607897294752,1367009803772768448,3612249089890587960,2432582401035580738,418560530807072016,1823697783288915300,5315270796512447868,4449529610759840304,1060022743938555060,4731664436778060544,5078095705791611874,2333933232713188848,3745389263988844512,253659698188631856,2015404120492864776,1806083886465177792,5540555409173633760,356782614707520768,3121980714592792780,3821050859369855220,2008928937372527232,1085402723270171820,3206872077405204240,295663109224168368,3973659193897829832,3025034586013626144,3620700174206944224,2104336834778549730,780849984781943424,3755377326900807468,79186403882172688,593923305928136760,674481221396208612,3590634176125447360,2066419182151805082,5909384333806512966,444522062488257264,3714956831517976440,626373852477391332,2088001718360480760,577374317897690016,5773988960768856960,658153553679736492,1833005348339898912,6083183683588671744,5002947806677882964,1287413821722562710,556419106541042004,485388486913462748,1040979858043908096,1222157492591111496,4550429679261484404,4156334018718256656,35574838947050844,711527073962725720,4449960078929877888,2795157571475937984,3013416063150484992,475390665857766870,1108142807197689648,409032028835465728,1533935427790384080,4652511282007092396,5157821202509352564,2577712182882610956,617951198315424672,301265463499283184,1506391471451061360,423953980275955536,2449519219268893560,2259680027933046510,1270718356189182444,3511028566603680288,486995546532162312,271423041964077384,829756321899318948,1581743137692452400,389610635462859744,1037404166332962730,1624970733298812504,452087344980987444,502340671395949760,2963193931670664468,3196494342565323120,809360436699356600,340632298321052544,169536951641845476,565877556383377098,124551163695653748,3321505879021173120,2854466955125209710,414869454955959888,1621039304867457024,3204923234287430624,1024648995620320740,520607260992986928,1809726859143478584,3811817616074667264,484591749248574468,323311121680250832,369054974383945272,1230235674208077240,264102628729227570,3050334908865469962,319657643271128376,761004147791450112,2003567729361640632,2827456171094022048,1410893925672449680,2882685800610512928,1591053846658798944,453570177965025036,697401748481575500,323660918068211520,1294698858903561320,1325581734151987296,1456663671977527872,994314725123843936,3325359405365944002,1002044780074037448,5308744387388659744,3938138390974580352,1888361026191447624,601340544291955072,751707727877045760,3625677606438241992,3329773568740392530,4628818209229322868,3738109561628771112,3654263468096473120,1971232327690959510,606173437241648460,967914433887312416,688382260124336568,378933627526553814,6441214859326840068,1926793497746642976,515212310500535160,261918416852608586,2194829682593468634,122283778079162304,4891559730004280960,733941593296817958,2527815181126432644,2955766579178097440,619747322307740352,425144400723833256,3306819711392853040,776731700862551952,1363013008513302096,1991421027249044232,243271056393990912,1132080796901088108,1955516848794776544,823655547282488472,1753251112000062216,537612656567778880,6851848627943818416,690635503916412714,4516432633134778872,4834109840028760416,657763591793501616,2116089812354864860,1156528364862011130,41220821715822600,329780643827077600,440145244605268944,2200820124507071760,577724987813076460,771864290494482768,22972551289100340,804073604697017900,3032479531356131712,3559835905885438920,1731541905929830194,3075913371918731328,6892808684969188368,1461068238426642432,3391994118527947746,3447303938672825580,6619269940631621856,850812762483254664,404274459191950830,771127610850048920,2714470379456020416,192615046815857400,2201408779844876000,3089820024510142854,5069340279517580640,2171437444444988412,204079613887042788,2251364362376102622,571962006826249716,731819630955072384,1155399251566304592,384291878856006386,1522530001397541984,4071532939881422616,2488063840984073552,224000056122454368,560024048955270240,206147000818734536,1560763010987596944,1735971045190263468,391793646607163888,257403786509595600,5148295546020732000,1883792062911344824,1136095614191584044,3518091174708348480,785972991778329456,1904041278781559082,4016108720164214016,1702229478392470060,2563336399685896608,119988329970218832,3430574887505641504,865347359699729520,4239259625668913370,499324456022049744,60998548406698368,5490103829997868920,2804815138731083192,70248116525853174,702511169986920360,165458985537607264,279440866979166090,3353433638903207640,1698649405014761928,688773886630972416,3219488097320019528,1472802966584516616,2237711536249159872,1446721560775875384,577129908567904152,2282226505244977896,2867146150025983488,887718173674110704,1351429909764665904,4659786033048331776,2529937151315085816,357059166736728000,4345793747567143884,1181104497560438856,1273561617588307344,3465397589731150500,3811001238467951660,1346235270941184372,3324744028023737328,1224660413368479672,588558448681737858,3359793897420175362,498341153101316352,1048888533768873048,393116006064718194,346677533134282350,4853692887319949400,2263281155342767296,1776345066567964002,4623204094404536862,1003463001794785536,1145849534033232744,1458286409092227072,2026679230028840364,1435802003412820280,4428325168438957632,631554747843310830,1471106173148548422,800790219348343488,1754161676444716260,3752080559091186228,1218088236890600040,2905883650845347568,2772744447374506656,3809403705337997310,5954411728754295498,1294676249904543312,3601168295117125920,4451031102988789410,173357293604562012,1497586660746829248,976645565022205008,1137237340158237472,624377134318494816,21444528346932672,500393723544457960,1429757486536707600,751962832818549864,1332038698183654208,1653058775832176832,327586941223750032,409501187526596740,1589566501217638440,3617989020215728560,819303127787577798,3689692270347728106,462131205465183960,3815907714760776640,4674348749592573618,487103923886269932,1823455413479725824,3657893365731143880,350530350918868386,2457074704260527784,675623707538387940,6336651898119826944,445586129976144612,5198727219344005620,919427367593245008,3632069617461885900,1185986788513297848,1284686708929291908,458884296557684624,2983547375113887168,2940250947399174276,2034655883484171904,1761450556721839872,1306019139433814016,2676149609809660544,1236347007384640680,596619383569613136,5736246521862169984,796334069387114664,441624861939892752,4887298051687387800,15130476558122472,605244959637950880,2269765719425381400,1778664030235926012,2526036184208030040,1209029079365296224,1089931758931463490,14439472009919616,505403148267031840,2888141585663875200,1226261444405307810,764348678005582824,997714022400209088,337912733146999896,2228469307922183488,460071355053624504,4348122357411897480,1348400025938794230,1112947019909467974,3651631555735064016,3952026909563091216,383708568444606324,6619272479128013184,2630383369814679808,2623242443234887584,2478278010066057528,3944181161717357688,3531935084812399860,391979569156657536,166329938111251640,831685294875425400,2519022595892223960,2830237953140566872,499287412746995328,5617223882635318560,242362711446647008,2769978154109905920,3229679261119729464,2908713450679825584,576039263639385312,2208779365555143216,1731471748808256096,3051568748448825462,2289695555590921152,3202310436923855232,3400829931672420840,4736184346730084352,2919385135615760208,208005279548875056,1054920777146831016,1849757490733558044,5850173435613791328,2600524343418948288,1014297628004485748,6052965010498279566,3080895855014657664,4280447035686187512,772922170248206112,758216192390534664,2053650277323195168,1896424478657880192,53883446664901032,4310860382922276480,6551711280575801424,576867957594992712,4984600428464930586,702369910268401662,2038401511575603516,2133126003580838016,941359006575276528,3597388183433785122,783341429332940240,2394008224971782748,1869607714458319704,52193309785341872,447390394376238720,5965460842296729600,3231854927170326842,2922418784449286280,1861851178107424656,6168809406567377952,6432220152582006438,901600058121722676,2175776570383855188,2298139493625357624,883923820346371896,4583318217115155672,654066911069343744,799595572773953520,395237093253435972,2195855730970393800,4025642156665799520,2925080613818739712,545285282498240184,8214344913791538,328587879150949440,217996725211743540,2180060688226175700,1411341067950666390,183191560887467520,2564791783524956160,2207424600960659168,144117101854298196,6485547578706686880,1217530184779757256,1418677615218754008,358162045243405128,2387849327600068160,1043477300961283584,2190300774725647776,136894831912939530,1642808409601462560,3222508643470289376,679726326096523550,1162009827008587548,721044854852419752,3928701784193910656,478901615536873848,469536829957971024,586946203066083520,1256308355297924748,1470877618802541750,605562068360820442,3021174340455442860,1181457057384671136,2277127806788457230,2639669815938217800,2943494286813288576,3381789926408260224,550529793793355274,1662584331919157856,3904844025896237916,443365990806862440,3228883917797910780,5653281741996139712,432310591836011136,4323291335239162560,5100904293019174108,1914848979164260398,1590370608312156528,713020963574625120,77229394250806908,643605891133469700,4570129795803138504,2406542489129294784,566839220578778850,1062455883318899874,1269711961125204888,2340413451058326840,1349336667326952216,4827011979864609612,1974265498022764032,685921949203494784,310519893560262504,765804046955031102,1278967146684153224,1246665018912014592,5449185352377237618,5355669044662430998,3155969660298854280,503036073334092648,5030576575379127080,1492672660869859794,294925649981464656,811801242832114016,1407505475004619608,83362040340483744,833656175889707520,523607281354133112,831343217587287606,2580768996730286124,2795852106410581260,552117476039944320,139756537544690106,1234226223287229348,5660606228824657728,203393180419861168,3051028649026397160,802777028998670472,995927913274235940,1629604026360062040,272721719058327864,4663094736075004912,1817110172971985760,4598883800800153704,3823247187315581652,343663024425829770,1877917639520617776,12142998579670528,364305595643775360,3036010290252816000,3023536894451875880,1159049593348202376,1964720578420563372,899667267494822376,2154881097196446924,759992114578874760,6648896559200402466,1780646509553223570,2616268500597629376,907431027018385720,2521051951837950360,102585900249664344,1538854576363147440,1762508755633172736,1994812139491933080,297733464096957728,1265212580194433904,584929382368031424,2193579377327045160,276770371373024562,1690254260074654416,2218189754760227080,291886024944794868,2501987659407167760,2085776093097566720,1307847225943135020,539886801037354404,2121514801180824588,815846662850891472,676529643383029440,1144972165088086344,1470370601325271482,1459569107552220672,520809099512575208,1029951106941313896,2282179954937162340,4571728038543763020,545457244117497696,3042644521401332496,1347808371464418744,479932781598652224,419133553183039776,2123094798954134928,919216556794540566,6448580814819258396,732369028049194752,2628245782286893404,2803782572313530940,759702854729797720,552808336068847452,293961931584854076,1469872809559026540,1419717354663894552,1850123709603244992,2133090470486276250,513953482682380176,2569877834781623040,1287989415534374784,43995664904506788,879951109307376720,1937829625807853360,1167965513792812032,4737984191030847162,1509757471483800756,333348809121911088,1805116180519958688,3074204527193570876,2851465556997096300,209786256163501056,1048976362409564160,544502924493926868,744456931423258284,1573506839033365056,113825663304067260,1463535717076683900,236063321360468144,1770551011468574640,2914812659091699744,1719757599419874350,739834641897106098,546362404706768496,2663610569371747324,1339937083012294008,428997876332413032,1482539913967559120,2283007017829925568,439903219201338996,3789582966183806592,307436629554130944,1317642201765990720,4246111332836199810,106038574808107392,265107834785070720,1624161457921870032,5669183306561781504,198070364608510674,565939660450225120,476788281982354668,432754651383223848,3091237569301140400,6224628753499284684,1922163207452864496,131385833162978328,2646842736649407870,4105030928307488256,3350571805695809124,584427647910938436,703518163030963164,3409939068180280344,649989165580134912,887645069083319616,1948726876590986964,1737885199960882944,3013412124568767240,3728626184775196362,1851390925825254264,1353346578324225336,3894988514447401344,158629680930769884,97154272684889496,647723011436669440,294416617408167888,2453577349719510600,1372260728500166708,1169839187880302808,758475780217112832,1034358432090793612,919750724229716352,671999791815630360,3058258313812335928,441838848496242930,3437840388837382290,594776591287899408,1646221393557604032,563295283441616250,919433842193583288,1415858514379258464,33386758042459536,250411459284223380,440808013118983122,3918462047414543040,733239670259607296,1045803833255315088,770789987857685286,1481318823135619608,544330806837085296,3637746831226996620,201512922297433114,1329248984131191024,1501557354807334200,865805379547164624,1055276487463051044,3356392379294532096,452893071956478340,956445244982497584,1227914099700402114,969224361896303160,42701467279840512,854066103663327360,1353283447937022360,1187320371715386960,76118870804496060,761221472283007900,4415606240443989084,2241510901603086816,2210418857103732920,1462948791810424470,1251588848069882688,1555619988068857568,4882074687634501644,3401017198429598220,3045402206857017072,3191539224582682344,3587906392192180224,52001029090157310,2080130714524364400,2870785174604297184,187674509619927288,5004869062909101120,1493086370540127132,2669825410604816324,665465106254412816,2857564909386448704,3384826911037091648,1768728683261799360,3516298488412634664,2794211434525267664,343365704047770444,2272962276178825728,478960008818367344,129745025161375536,648753062155723440,1124133728509807488,1790732829228705648,2487237408916038456,3523757256783480930,3731391199765488360,373566225802824984,1169563704840735912,2668084983464218128,551811435102192096,1318632228001735240,1915829321317811466,3359042664526816938,2322298795330641568,870036086632775328,3753048580401251754,4433341011627508512,57639127090103424,864624149097289920,4141614977911416752,3136227306865270968,3236041434626387640,5312144076827894272,2338272001739420208,748731965242246368,2066175198592517376,4692720996055507104,3123712031597702802,951143252373150996,49755889053501696,1161020763780433920,407611281398972060,239837070509240886,532994231389937760,1196218948415856816,5620887316963976418,724484122778705922,1022994678286355012,4036025515101806448,832445907923970888,654011626660240770,5420724313034553408,4005148837426362144,818261516580003144,3245444577663963966,450000956208983256,3883449510606402240,72573224904022194,1209605875524390300,155264840565162792,2070287094588048480,3082873607814840252,3204947538443424270,1896235220951209620,18599054494653072,557995683918338280,620021927123134800,5394178399602342144,1281204055142864952,323228107872293130,667578147778419084,6676069237023278160,623020914667747872,4477492436359204404,3199791379034433258,1586204808100169664,101132875139870520,337124116256362600,636156388659544776,2433948429971857572,2343590569007682344,1695490869661974036,2736183199337978292,2681292170597145536,2682512387853367608,2688151364820764544,799639562636345376,47669630750405340,2860301165607388800,235121818753230012,1567546377843698640,241860754014949368,191121630850503568,4300422119323008660,217086300771822648,3256434926596031760,4109668787352990816,3070455724599237150,607571463710903766,4879198927832353344,2034201038534160192,4104221089000941072,4857484808069218320,2686598885248587180,629112251929294848,3780591684337537890,3999777688598438466,1961119354149119520,1105118510609249136,6303349998056102544,6850887157610700534,3456603412899246708,1345843679535007968,2725309552801727328,1212706380676101360,470097537203732688,4178825021658456640,476778457192191444,83229312838290192,416164515573489760,2491907564798173440,236232838653079356,2339288784965023644,3378276388794410760,2979399964152694488,2095021365390606030,5567454367808931162,2583186143862550032,503742577437254976,4210542769554176742,3602742418554736050,405133704993719520,93136080488983620,1490241583735926240,838186233544521828,3768675877806893028,685618004983686480,6316200320611927392,4099572775492609824,1990406843855437056,449081978316898928,3307707449849530860,2516092045010820648,1258876393577354772,2124088396327460520,1551922679584267776,2522265348018927896,5324349527136874416,476544573366185652,36344181607378104,242305000939310880,2096263973295930780,1385492547172810560,5071276872942345072,678900639202191252,1356354434340465376,1326302713022125104,1876621575803358564,2830911496879851864,4420795508603389584,1173097735868102280,1521927300484147504,951316211415805452,2258952220090368,33885745984609920,75304908340780800,2259244773838656000,1782249033163883088,1562975452970777664,2207537974655994996,444013030773536812,2536573610340609408,1580813130353774616,766711449566461502,1588325725880048826,4286185180520583552,2994414049682590480,3056108759043121446,1599262799210046600,63831836463816480,2872556665457617800,166162060929314016,738529936076522240,778695121476619848,1723203367083643392,1134241306854393056,583967962468566810,1872147726763236120,3420556898666268912,1166375114388199728,1993116691532680362,2061206225499979656,1127045928794689584,237407539498100658,4748355847041621960,6158312571707674368,3874048453670672508,3084785815988488736,4535142164989031376,334186248879776628,1599999108889524720,119947198186887420,1439428547291884560,101011051608330864,505077073025845320,857835694395495612,476951084780119278,12784639544808912,113646149230855680,1278574406432690400,2505416453480918616,3515765610777623760,676522064532821432,3279403555996001472,127017774092614530,3805724316760783392,5492227456939718880,2780426698644343464,4160846457533258108,1145227496074308648,5749515535522324104,215895532876380616,2775919636805471280,2100339746547829092,5142611911448424832,417956438639274192,5572993300380858240,1821329627927010816,506616994215091476,889206298817448744,579052641252822942,1126555715164420860,663007083477455808,807826925159232672,2458912511842366032,5505293293131070656,1040015237116338256,428664924015780084,2792693982990164130,717103208735542884,64800166570456680,777635604711014040,1502012491954940922,1872410240318045184,2248762177393395048,2690151387253246608,1444051048299628512,1711271681887374144,2191521658370566144,1409859368000112216,4103068224412932912,1418131930741219584,5238581560499842380,964818906861155346,196639639044267672,2949722085867218640,563440014836391744,143146881456481774,635535882929463138,783429013621224096,4690392749329266812,2988597209125530492,272554533065054592,2266658793831891952,560897129141765856,970432681667830878,4130855334980844862,654690051889133616,794122018496017848,688180126462698704,191563461590671602,1915717441511337480,113496302555661056,1276888611376485360,2489123430176668632,5823155427432176592,292609457456468904,536274269594669862,388582825025399952,2097374742115872336,926299665353749248,5579510628209790864,1200240509870229864,3811251926676779064,1753198199317064500,683420502254408172,684248763604925772,700253165591308248,2220666608630087568,1831840776765541296,695706154958135608,1740933773996488704,1562417150253170316,637720333873864016,2390506021194823458,1586548457938538952,3029404893942093376,1988976309143399730,4731801563845777032,2130035116250371176,720890142402302472,127708091016562536,319284038041568260,16785162558303552,139882405386729600,1398884564716968000,2429663492388002508,183594190062492720,3672042647968186800,536069938731621966,5167895381791416936,630421250928333008,3891327491203389120,1805936108083671726,434573506463463366,1424504854975269600,2955525011086416192,2009809646709449024,1654546610353228116,4605271918598607696,4433374584956742984,274371230209601952,1147428853062192588,898458955650758976,5593809805403130144,2424508762740567408,3785275642093873776,5179512322602187500,1711587467902198656,2170764539523625664,5090252261403975072,3094026774302363808,4936344230532108204,1387155230653970736,2188603753769972736,6118602979643290296,3274108782289438464,793730269350963120,580355535576632454,2696201396226674688,875526586212584880,153413664877760452,735310825387321554,1141597099764056124,198004948757799936,660045063811608960,104245976707500024,486879512608552528,148815090318724176,372053829900813540,3144142409897154336,3561945607048828608,1825737112623774240,3409061449061560140,694912005830399088,416014302630201984,5547097495256118080,4849948945962971208,1184782370433605976,655612123846884392,721285220979015264,1913172538241646,19132553678564540,574001460677066400,1570571191239002280,6679928802569121918,1799685130068959472,5201514141986436864,207677969073175168,1431649648579352148,2359391209078877784,2663662896469071296,1300010590746255960,1401669856308657978,2012363964455971280,123652208779651500,1236575633086560000,218842296400135806,729505910774309940,750548367775515456,1242166453545765996,4060017300040819362,1190025420857079228,1914192366438572880,4390159526661617184,4684833293618659566,2316675705944227744,989238821324531904,1147992318143213184,1903598991906573774,1483450471826948916,212273540398134324,4694221791527427072,412078396842775428,117497799526344270,1497205103238153376,3240754191195176304,1790127137271895452,2530690623127252922,411963476771644392,576539771949893400,2113162477267587036,2227457789605160532,7012844814758569776,2915143878791659860,2007166746079214082,3768380363228852592,2018695067370733884,1919074710799868544,5564694138088938678,4432048266642575436,1579697664623369496,305321291915752896,2901281479779603912,287247749723436474,2462230246431537360,96612895198532680,1152757825868438118,175266181328751744,3067291072777093120,2618403823152439140,1602656349159948372,1064861229987396968,4629057613548469272,2665717258097044224,1001719615578730368,2702400196381233876,3465021274148954520,834032721368989728,1176413566884313956,268723538199424578,1407096732839965940,1224835998003778536,436371262505141580,4363901744454283800,326615932185856416,3266300878301676240,3154771782279600820,6248440878744551454,524968186849461384,3489337301476314112,1400939753934668760,1172245985141869584,4712020960035316536,1263686676792177744,1401051329038877670,1189771684355190936,755942190522862896,2019791965566133872,468156661339314156,5305661534711480418,2134728409050350784,3124833677639279064,1306087843075048560,1427697269013316098,3038220914684476416,2936418914663614800,205207665946260624,3591289843474797240,2816351627514081552,5763652442733515616,1561419062322532856,2319724102321850664,355853848955058792,865476930944946080,249416531051677656,2219707897692486630,2964208921440383120,218443776670712340,3467599331248938816,312483143815788876,3036456682234532304,3247503056103885984,1973686553771550860,6602841299925971568,526152958374676680,1492848313025291976,697080487386040578,5421972243312819180,3079068975129396792,2789161332155021376,4816345127212368246,1352311818736269996,977928498652748160,267682502818106112,669235280708914240,261506679358279248,1627195776461843616,426159375948696576,1450772029273526100,11927371784447244,119278891213355360,1789260973183911600,1006526641970288538,277100419017897064,2906781397385776020,1657164473912881368,931289453883518752,4318220913051344616,2287750081603764672,3480671038820075964,4549433301576432948,191613661279908696,638739912358451040,756036628963393536,1278802734912826344,1566752580246444316,4147366127671456872,2632039789505632884,1531596355455678222,277166379510650544,1787455768252330140,1423479141149707584,339515728344272592,1406627083096952256,445656587307417024,4764532607864044932,1467919581782438928,1799692725362444608,3319460414518391220,2867596016819302080,5827141904291271584,37907096459455206,1516349654845433280,1140330382303414464,586135854486098622,3907741932504142920,635402730209546448,6354303043002298560,4939987021310124672,537255449673996858,1080019338514826112,2836716638030574120,69898234582215772,699012681544792920,2455233844117748544,1244970445296706432,3477714533574252510,3570483666468545988,2131649013661915264,1484063383592397672,336650321743267788,561108223210166420,5432211207927303576,507380333146554792,1429849111644944544,5398471399600497204,1374701881901355648,4418007274506219680,4803356241890820936,2892507323505617664,609121247285225160,1672389245598943872,2868673945442605056,3749966706652898750,730609681669719768,49376517389228124,1316764293354304160,66423602408308632,996397292610395280,764466965142480128,1192901170968899568,2738574558586222536,1182218988252792672,3572153259412421760,691395723608073552,1843025006346891712,3444895235044126440,661062102295879872,550490822485832712,2277836200613753736,374385503825322816,1872008802900274720,645560870042224290,1020134934113148,13116590135200080,58298487650899200,583010192898288000,4553364796267583786,383553604626918912,3356239786392381840,6070161986725498640,1936783635125429556,5643839795567604708,3188450565239566528,3526456239236609730,2970552054129017940,868190529164724984,943436152699925928,4079501306934724980,1356934260060880368,811137006893987520,42879173239935648,643215535403658840,714714970890135600,1371652888013224704,1983239795810580640,3677771750494744680,85577765254247562,431732380965885252,3358064383413727680,5305086397232710410,2767279324639598154,4556534850309474648,363663534927868992,1363797499486016760,505737916276944330,1879620744599060256,2361186507779030480,2726401270655955000,3154084453454575788,814882042391142912,2331909961310735136,1960023995514196776,450413757919949472,1000962949857473280,1080686703463241952,2941714809704763256,390008501625589410,7020458056376963280,1570832000707810188,2307791394758170656,1223754773484725712,3207599444920064852,538871727659401800,3754840701104411688,1534604249665914588,1838216966465503008,598647683856413772,1888913062137465680,1084513842534866832,3982957135646193432,244444156670904192,271616422023991860,867181040914683942,1390205079253078296,2942484187855776300,662903685215149374,4730765783456251968,248965627716168156,309547813966970760,1238245071447012760,3156043108632717708,807914925324800256,3208189917132499008,1471351265746960212,71611668273981294,5729182478889967680,1370516028367943808,2632455801385568928,3655871794773477832,2189214181711868256,1640080539036981504,258338125742796050,516698711720312100,1850009821798085424,5231517989417244224,484929123455501856,1212375511869976080,2747260171511570512,1369745348239878192,368832105998396088,2689466135956751376,864332059073212920,1898397741020635680,1408099556637092110,2314326670484041188,1232874654349259232,2463735395638031580,263400176936727072,1975587221585902320,820533509545865984,430599900634735248,4789796181457158504,4134015892470012372,540964454874888960,1639694376415286208,602359127138466044,2096953575001490196,757324905812191656,92445647567712912,1023911362124886474,653929523216424708,106371031118950848,797817427330206960,226897726425650262,3236329223458772960,3981788725098974940,3990861318676824432,1145465959091371708,43076587994648604,143594871602233920,624894495419400124,3426918471612686556,133874319535147944,334700355753925880,612707665418118144,1049653876576223070,1430226963822757368,4264873625376198000,5555162362890815208,3941051016662172976,461686359672343872,3462798318770738880,181601178246276272,289409837433573942,459392026241691198,1439454628122137408,2112406022775803832,1095852701628371088,4871919757642611552,407653544835732852,87998627850246000,1408039299094692000,409017575103478668,551522658674700504,3862098886161571776,1506233914957724316,446372542943081724,1215640110464190912,2362371062094919728,3444471103221572220,1567339491373883168,2678697320575104768,597186566826106752,1098434090492844444,412337294400252144,556104546620492220,5561287444673438400,3447598771596769902,455431986358511256,2530287802245812800,1484957562643630272,1849186433066604768,2059150457064577908,1815250407881404560,1139926847828212512,1647290590080259608,2459033615413839312,1833653062796315904,3641895527974827900,977545306319863608,56752578944023488,567550489091887360,2837875950699340800,5319768129973408368,219938903969893922,5160284084770195392,295618996765686132,2533987402218069960,945993844578686220,6871711821680514204,2215049557000461272,1449354741587463228,740627610923831724,259531948524202128,155296963786960188,1553037237939605220,2370562154099015584,4183020142108385952,1391527962180120576,449498307964629968,1240814902127513496,3053759521948860816,1039249805586010640,451195649303347188,3104427766081272750,732499028505245240,3259524681587028096,43108624713978480,484993142196680700,1077809461228704000,4044884258155843392,1379531424264258464,385828545641459184,451685422598714532,4841176428222461712,3629591128414567908,776423061822200832,3494628899677857216,2081326534884531060,2122641382902182472,2526217822177914624,833223391212818520,574395501125766888,346900380045981744,1734577430579020080,2113978755700076160,597153213639682212,723002981075418192,713677275061955952,2170463280118003248,1313667477940745664,153313876740612492,3066411072166949040,1778742502895306112,4751458933529098176,1178799251749231790,2911866558047814144,1521522707126902848,1914504142106166072,870611385691112274,2285683094029093110,3970732695321328640,292602419683263552,5120765377094003280,3177951057951296192,4868343368117119968,379138448039934576,4774666871254098708,3309254400402466272,300520999899070200,1803204544177363800,2122013758596518682,3511645354363849164,1302309886611527892,5052540983365535808,2428631575140062232,725602552311260812,1462875545144896128,2368524795917510016,6164794004831635176,2594502905310395136,2388013674251474412,4327934945030405184,4250251341882609822,3216992514289544250,3614921463419234440,4918866341819510808,1498532837453798472,198606868804229048,1416304909418797728,553232669478905472,4536250604655237744,773683295408515008,783068936572527552,3903876586716428784,792974445572508318,3500964640757697732,725563890863149896,2357797636870465824,5978280399839588556,334132347474162456,2378853802880554944,4193529525468605472,1028746679003555952,489038536396424952,4067954307155690820,6291721469703059776,1029752558834684484,1243473809257095720,220818067428161568,1472184608120251680,3719998430456365728,443004984147342690,3937993707685982400,63398079955603008,1479353007359491880,958906256104463832,2128683443131380600,5034143542943169288,2764377379407702864,2618723607080419944,1417450990391875536,1916919231103239480,5354101039179391344,463910548657258404,729115129028641344,6020943252883780032,1529809739686382418,195022109716252344,5850918338565667680,3894056208371546640,2583844714507686012,437489069078327220,4418631997575015424,5559136214858554104,1360041887305377234,3115746503710275050,1450073117400654960,708408936905669472,1083680483093889856,1278765573079904010,727786274551288848,1774506294634168224,4076133687541919136,778525454867509296,930993216147719544,5869229071804253184,5544110729033366028,1114474030103568172,3317773701833426880,90140152174859232,582351528381257726,68417998775592990,684209822052394200,1100249036627396112,2364568694322641856,1461570530367935568,1140714659227424256,264278899592016408,936522512848556190,471977642387385376,722781843802806456,5432087320812221952,963987707645581568,6953857892453132028,2506830602874858792,1531050573788844760,2423112325335926136,2282440520637983286,5628704430891581116,5368183325799620928,1429451770273176276,6924164109705290862,2257868759557486992,768460794876814908,1252006084062159544,4036384086499740924,348383189350417968,517841503388207040,1731845084082673008,4737007958420407032,3128918743294594992,1395162918055752384,354395818292069988,532815577778939488,1440656863137340884,419175530789262336,471353557614356750,1108610972271097506,2473432252374813696,170542129964485020,1949137944101013600,4782625082229691656,1780971770185830948,793379936575585728,2063383494329492208,1437310826208268488,1554381208910274096,3143226164740993248,2597414165980304656,5276808389141247546,474956377633418436,6868683196894213992,502502690887753572,313190644274704548,3654050283495211040,1794125268985665168,1059185048360452908,3370032988942900536,3706900018348179072,2660228749401758400,1593348471526357952,6316500931966602648,1819724345669564928,3129083311492324620,1838187852178687350,1971258468492174660,660261302777043872,302074412746599936,2265656967733337280,1480206862002987528,9737115806507328,194750815269065760,611899002667630696,2126869869963712698,2613639322475177160,301930979713784608,4452369453303774672,3198494726762134920,1950033230727892056,1505772089670135816,1113702565511223216,1713133977569591034,783614923803519024,1782189205252421856,1048224826082406390,1463591533909406244,896578464694832832,1128873119031602100,1909974657716734896,2003968691161647390,325354623728517192,789179801079597984,830490611174067510,89523182167355960,537162541918050240,589309641181798944,5213250150670564304,6118568113952085264,2022071703736682592,311653287585509160,3116668938593852700,4325213660071523634,2786062820064211200,2729963365801228536,3673447223954870016,1474575393225254744,1992177957977859960,1392444932234303232,3470640010714107792,5110564321363774104,2982181963166759232,278982341595063060,5021901418902691140,1939141878088431708,2123374292670643764,1497932642825130672,176781035757045204,589295851035232440,1087306070660190336,4293473805346024992,863629660377652976,410878228227340740,409249908759408048,802072217897990144,4935092304173717808,3690648194301748494,3239450302633480128,2775293681888019024,3202999530550826292,1873031032125760752,1864500421259742156,2981159233898184192,144110890559710550,1236322198551168612,2102770629207620640,361246935835483600,560267354667939786,7203752047379496060,1787412210758863812,978578832280529040,932154985257508728,3187119451418558370,1833530987350913544,2787558729752251296,1336828940014093092,1840682108539009092,159226129137817644,5381716706571564408,829653719990954742,1179499349751026328,1434032651600577072,1986081747882311340,217064353886328564,2170738365864092360,3149460908757483060,1597748541501545568,1915165370840041040,3210012401214604176,1220383252917264528,4634027560218089856,1847272642096257612,5461814471465144826,1202279741043474832,3734924775759624216,2346503533966561824,4914896399598837696,3370525015494685824,2689531757107434576,1084195649660144910,1267676619122662704,5570430240924808992,1473268960312470656,771353690971693632,3354818346016914384,5802220739187859536,4053229404516559656,318423367242902808,1535184291283431028,763752621221963892,215862964977308616,5756597285605402720,598153771368398664,1667023497800905344,1302748323869510496,218451470413891650,1069689979452488592,399171790935438248,5536588696913092608,963337062885318864,5153284310455119734,5331575100763790928,1527827589989405856,519195979001158736,1085221922593730742,380647724797022364,3034025362011330912,421017785280818352,909100579697051256,4977183953496165376,3552316523921959584,2507775899157855600,2633912000066109416,4032989168506108140,1909634209141667472,1173500853039741276,354131794449130104,238912500608199072,4181151527362967080,966744929202463710,282077693328651648,687093839228098808,397011642061494096,2487866748243265470,41189068186146592,1853589099191996160,1223110677629110248,3092838188406515648,2086691999096871222,3017394026187487848,435320573127688704,3627830046707282400,1293048209333137248,2727997203973773152,1051300061398698840,2700672038723000808,2218116652509557100,1566294402638309088,2441254254965881344,1910163963169608492,4930336303914707994,2157954887632302720,916918423287047900,903794133223907640,463310435015201196,3588921273138213820,2258624345256464256,2745862517524467312,1756144108094868184,199493084815991736,1140010335426096480,2217273222018401844,2715993628801537644,2861990210111438880,2287109868631870128,723665174537819544,310287586837251312,2897681930683938752,2510199426596783328,1457008469090395866,5767505496777750000,591857164875745224,1023737862359190528,2262129664843866370,1163293409324235870,3409892174284147296,3594683323903135240,1140208416163501488,4418349707687754024,2976329175076570432,1641405703235837184,6072483780408971376,284567845587837604,5357134546144435296,793643021224129260,2278856313331975482,293127575748084204,1275785739271215816,2921452010496117840,335921485199184234,479908828878838380,2638113280812737760,3198561237244271184,3267090580499447076,1431039875696066328,3779083399750887960,4516219515803449464,147639679124224704,492153794239501440,4683205621272797280,2458147193820167052,1588219187966767776,1971934919319992616,4809214383911959032,3919181122417766688,4398153740204533848,1451607705379413798,696235353949769400,1002294668186723016,213627363548677632,801137665875185280,738157796743573296,1316316372548998912,892126703719917552,5155553309005599588,1511400690327487488,878340579886556028,441240994922071194,641935054063019014,3701094996497048712,365725379792980848,1023744106140910716,674231330133262944,134115751573145304,512065910168553916,583054774481098656,3142389277522440090,1440718405889679708,1968382773075900600,756240828943865142,590561200135319916,1084351817112140976,719701179954900228,4492089916802681696,1914836003108414748,1152438322288394376,7064357779032060672,1532121715766993688,2559190020050659380,561741135253373504,4597465546298803872,6147831083946808704,650674385592469446,3055976449867647648,342775924208769168,625447408816140428,637526778067819614,1696947532574377248,2706436404633394176,377768439305232624,429188870235598074,282845947855506440,1752373761373097424,270699796922729742,2105535035398179140,2068842365193419808,761830750573528512,1219813363554181380,2336889733119033444,2213259937492550268,670564773424121752,123975234952238808,619903313659396440,3468024034254861552,2655577775821113720,2292850735947981468,1567232735164251468,360095155066324692,1668684719090411136,2311260209472445264,3570634699253684478,2576455977860284608,625162004125927596,3918412183177214442,199146715223601150,988642458130029024,4814998183929657744,2182649878255829448,3291316090286044408,3824387229885929280,953074416285148608,1218943600446088740,1933242871358208102,2144101529642492256,1303759005803240336,1598876973990120384,2687008945583642208,265179090187562496,1325953517055171840,5743428757101283626,3606561912194269830,560752671106069464,4326269405233279056,2872355808073811664,2110571350693664352,858810081322672992,2398579294720928272,696319392432442824,231578994735446904,6175710339203874560,1862019501150271488,1991177936574687288,3254576889770694664,1945773377483289768,3970673203555476792,5553848574639386126,1780901596456964568,583209609320767320,2097799492809458760,69148061819100420,3111799086940904100,385342056419152896,4069607999740287372,3240421459001873190,2438368384002360516,424070698383626184,2732714493683187456,3528507792992601150,1180912545932735592,76576617460717032,6892197501386378520,1477966980502960218,1619083293676529676,2404001244444330544,1265213828434918824,851261677756334928,2929849253329944990,267006632440726224,2373496274450063040,2340432946520720590,1548096787371246570,1298266173351391104,5528761557186656096,1602086671430790984,672777180472154364,187633687312854816,2501892118417407360,2955130223560076562,497706020863276950,553030921807347000,3712202675559854448,2423384557861931104,1058051765452657428,289596405957041664,1186602810001174284,1863883000458350748,1890359675647855830,2678226624907203792,2069071095024354960,4093566662726030862,379916312510093890,4178080201284553968,3787671791286110880,2827793573010359350,652529519340854136,4816949309299206996,1679992068826586752,2592566034030936216,301961095391597100,675804651080263056,513085655416697712,105200636591678490,1893694454821276020,1743082820540108832,1679841564478401600,197999709663004488,2180066133972050772,1834314585663080232,1917142104590798316,235596540034503738,2061390667741286904,782228026860513536,1432855122828068880,2896791775774647696,565372510874620408,323030070491568672,2905504574326503216,3517664162476188024,118183707965521908,196981481435931720,1801385877949017408,2489131690511422770,803940164248129530,3676750291171051192,1942733588872027008,6826385172572262612,487987748457660374,5577247343346212160,581682709799475264,3224379337959800784,2759384898275598384,1951761982252694976,1992682807088447584,5637592224710509350,1607782380320439162,1388815746194407616,913555944401756544,2818077668828657028,2597656170851475050,547066062047877408,1219989046914417984,1378898208930790196,1258005978439983864,3828724741656239832,454530925610833200,757584761266795500,108188379927071964,3245793722451121920,2763109031586056328,3019413606683947920,187554702749635958,1629505213497047808,2919651175830098688,1833290887318423776,3284262986113380348,914616821234098368,1177545749835836460,580562431816934412,6308124693585894432,1077379804936747692,246221223083536656,4737874280675927256,3324942628560379998,348900272509304736,430099671866539392,4777955748912207312,702371599425287676,334113314168396868,1662995049177860864,6285305758291120272,2942728271645036994,3798645349473873320,66956358985056972,2008778876843061780,5127940771607544,136751085426120960,1367570839361971200,249828536627340132,1070740694783307240,1327806125831718144,3773267810065198536,2209149919931784408,3002816171498650128,4125873770637286660,5739815596405107072,1432017755772777756,2936638321709954150,49972913771150304,249875530419926160,2060337075215744530,771247792874403756,527608767890363436,670580212272210688,750036382344894,22502078656329780,150020439306972800,6751215956848572000,1600816487967353568,4186547292842597034,1853043278727750480,2663791115248134720,2006532750255429520,832590443646562176,7068185524074850344,625274767061561688,3675910934413091052,1565149334934319596,189233761574259688,324440853620333832,1947334550388902928,4548006912202549728,257465736015043584,1103473002427445160,1627078465415396880,6655028276453196222,688233679871501352,527333523248000832,162133448837462712,6485622555294843840,1122343969758111408,2323749419102681856,1556757884804310936,2132329449444303258,692128533629693328,212373105266755968,3571573194506229984,1084137473168645400,1359227582337976848,2113923535292823424,126012247801159038,3791744281287635526,56057106440221260,1494921781429785600,1716908360484730932,689158171709364396,2476723142564286912,2865807134539327404,1333956035949939428,795900689605352178,1626070255532101296,3541947699951012880,1849912841804118120,1028186518461357816,210096663968638848,700352954422532640,1442171109210453360,366082255889581934,605974182155495664,4602566099107844208,460502028749336496,2302611220532067120,356668557330906216,349264061045295708,1205218813119670404,1498301265143260638,795587236463301260,795489200886996624,618150013565725932,907319549046480534,3532949575181285616,7422760277619264,593846893031984640,4454047239512428800,6327240078933046368,309569034318672128,1150676417697774564,3562186319722218840,2416762492643960064,4002125553643330656,788330390712391182,2564205992644466288,5473968813982785312,716363547567541344,2121202960080792324,1214601568964826588,324947884312643328,3249621528729560160,3353767849220850252,2912022535363861248,832412452005814992,1768769624881720944,4665313032827094,46655179007625740,1866289111918396800,1384824541491335340,2058901989098025350,2262701409692463036,1629743601902965728,4639770730145486528,6783091438479017184,5658907682268351504,4629663603689576688,876063727797184512,793503528175532124,962661429506515932,2428670292089450640,731169603054342144,145316105824457656,3671063024869867284,915124461315448608,4235012100763154256,479518889004325098,1513875259076574396,2511546269163709416,2393290292181054552,1209680509614230718,1331477100568928984,3062728040464404864,162800718920572392,4884236098855822440,3385976726779401996,3554236924257716928,61396684510518112,2762972166462110820,2720931428894484090,2730312924349968608,1064864573994874464,1088222756533439472,1360204239519789874,517838559051278784,501784455004213056,1254516246578363080,1884886749274797930,2003585671206946080,637977393096181664,966795363002697516,4354746376043066850,324164909167490716,4285919443418281152,403292518669568028,3314220577648130480,2191563905969759688,3386550971065930704,2353783439022263056,6627530009276369568,2100088308378530268,1549849913368868064,437803901191435152,2736394608906410100,3740786066854957824,7063850308299561504,1836244097515469334,471471904918066970,899453601871675956,781769035278352080,6484380572237332266,1379781480884354892,3451526951233696920,2773642144457292816,3252790433998118160,6236509498819676604,549061829167663152,574110721399241664,1775770176925250802,122553671447661616,1072391749903491360,3442639284638609340,1233568234851012036,3689628481427536158,209296084767604896,1622803522829937152,4094009384952798432,220943388744207792,3682551649865545600,1229665217716696896,483133239200425596,4367852529324021216,3700127698341694368,444586220192253408,535009306660048772,286047150972307884,2955108680798416416,3756176408122327420,3037671434052517968,840950395241200728,3247129603904441584,2079022677149669568,1055565766842926784,950343044347768188,3710140691212441080,233926482113068464,3902745504936154296,4153916914402088442,136337736006560088,454479097234038240,2333153319151242192,6887662151677275852,460748965275970128,3071794798542494160,102741544545811272,513730305746371240,617138714848387752,1371479656254792960,492474579089474560,1120437689269890288,3889436529500205768,1946039694020043072,3200335820338640850,1941394537388422152,1256164472300881400,2189843529175717488,1883759014363950444,155497706802791834,6387959708709460416,335570691698260008,3279260266932517208,3540350606929935012,7454870743262917392,1348864300067190112,6609216051569889456,3260462020567643730,2408897009201655264,413042199102955344,1309049268276570618,536371550119106016,675831214683389016,239520391576438896,1759310037710084690,135455583858329196,3052490430411929376,61413016246642720,1105482903080577120,1911948797808533490,3080018033678577432,1359634130313384960,7436994081627528,74373211338454160,2231294461092892800,4678524337430339424,1520453580823086844,832392126154918332,707465998192016052,1216662011302643776,4021000213285665936,2383036741901337030,1302575185131284864,4302494264664606024,2791911499252613388,4216269128492246672,875046966449019588,377005908614865552,820111725495869236,2141540807119401636,364701301850727072,1299917187182065520,356666970631722372,1188942195391652280,99646583570903016,498254833039598640,4883632500452148036,1033112979995010532,667540373077062144,3337848682644481920,720793714091493386,430893822963727188,511638435278959380,2923776810637139200,1063017502014799248,694219732905842892,1858364332269392016,1841451924604482036,88468476459970194,149021806117614232,745141809580871280,2685614079434683392,814425032967270522,3612365933495299974,224465466287176704,3741255691588807200,4907046136745760336,2054177705416289328,1173824810490393072,1564670837959471296,1156754365146559476,2089595417985339768,1251937460998984416,2268211283848834212,4874529698647183918,1435202981858493216,783024526371865536,914788768591493768,1376165000516892894,1731736236998639850,564948587004109568,6355951260322538160,1379345108214156960,427441896672383548,440501761750018176,978122285046172800,2345399983987712118,1272096080578695582,120259638911109696,3186555721057210212,1023915595874281572,4913109486136953168,1204559737716399768,930642077107803168,3335723374494339324,1400741257217556072,3400784087907659520,60618749155797780,336785649337099500,4715206591540473000,3173267297994788112,2629756784700063216,1874305430259499710,1761668551948035060,253801121730756864,839752370284819368,4812336323168324904,377573324144457226,3408388315849373688,3119405455415617536,1505819347579616808,5407997054173284690,567193984579574352,6482502278301175360,4120101891280752498,2972672712695932470,6034604557550734944,4479099424376602752,4008743777817583344,2934291497337850504,1076165783498270304,2258918258775640128,2468784633464458638,774559394932680456,2130230537612316144,5337285939779851904,4332643636759240572,1263980671422365196,2439818544772417536,4341071495871894348,1719071963271649890,5665916218839873624,344374089234651108,300737414519107104,3007506539582939240,45090238880738070,3156455675594667600,1030038960727136080,23951754387193914,718584266127110220,4166383399124073168,700110323033487840,4397702792119483632,787458320732926336,2674437922572231360,1225102903299793320,2995500755502669488,683027976576251592,193817606188396032,1211413374195507200,6490757314890972972,3240141861677166144,5819216430258288864,509210356028564796,1674466027025177100,2852763877193068664,970417631841900264,1362947502876913584,39807411817259548,227480941026147360,1706182184375481600,5218529362121823624,6216377256299201076,482699098112500920,912375569377705184,1156353718032916416,2019632132703798468,5681781371106024954,1359882886396327416,1926654555589445220,395257255520641604,2457547329022999128,351294268878431544,371603219705649792,2123540485741520640,1387731191215523868,1952109904847103904,233207311823695812,3770028971704407456,2239747208396320042,2575192665045481008,4266408799128966048,3842547081230306000,1085726280386253780,1580033038297307040,4829285738257415776,356698585281608610,2140285776455660940,2846224605772845936,4844928735849630912,449216215650244590,92130512528678052,1382018559085681920,2411655645761085780,282372303089840736,2470866484624400520,358760265849469872,686576351448916448,67063578098405436,1341330644829175920,3711120584187795856,370281171902813712,729238440217702140,2422734786280020712,521032602931374456,92960112420024624,774701729715601300,1392927983047802748,984090215030864928,1105644430556552216,3277943288881103232,2054932291161827352,122554999419776960,2206087175651420160,1489548678592814232,2486417126368903968,2186052199117038648,2889146849838187392,2770710675020261008,4355978621302875456,972704428230114792,5455111632328799424,2532566241616261554,3039106040931377928,1537850567724459648,45022069499770692,514560608082018720,643229100286566600,4103941013443669284,1454804346232998000,1044357974479672866,65706047420931204,2628357705544448640,3559715923039744776,4044915526572810840,1614566203101751944,4961601436996715712,1786588406041898304,3149920634548559616,249663585931806216,394124084537962704,2621342656355446920,935771833659319712,946213639792483734,4727889059616736992,3917495993279781120,870387199591844484,5365771716777415866,4174654718698644640,3291939467101519860,4212539802319763166,106613644650455286,2843155819692959040,540591498403116288,993524512697361596,1387545756864258420,297670095919753344,412164929854933332,4152135195549863664,181833461357190264,606138251828403040,381855431383698960,6109956187455198240,6374883863530538432,2180642361941013696,641405735437457808,5238497377891364202,5134159879493184096,1723428926955617904,32055520331605000,320569332847462500,4477090711242613926,3263556946618383744,3945944131479213552,4705234745457157488,4490383127976768624,3197296973057471040,2026873643779712640,1893609164196858996,644559258909099732,5901028566366741768,2832150788920275860,529561533552659424,321265345019921496,3001961824579501392,4603738281912732144,4681448580533188176,2863787995421397216,2490571525943119872,545064369989586564,2512663792408269632,2289817859919528312,1762629191081872272,738209217244790368,4257133571190539712,1469744891672296992,747252703441825632,3112626621610731552,465212771047800012,2959731692004728080,821350792923711048,336620589967251216,4132952976749922570,556651419927852042,2560722145348249728,4206294627337673680,3511606772051531970,1354558604715174816,5855217987396225476,5879764010532479328,1070275688328029436,210055119497951056,2320290902135102688,2635881229924759872,756906787257384470,448530774261150828,3699652377127144704,712654892429399920,2840907724646919390,3770848558775336976,730691702151877632,721137418700100072,705907534204563984,801382978825418176,288709954451969016,4103103890085077808,716874194749747896,2161650270266038944,2577502278732087720,86308995195966672,191806225726181280,506953879918615530,312464003521575928,5637044948159072064,1473983158018543392,1142030517198943572,2466641781530564256,5436899332021194048,3953958016091867430,931985024298434910,1184047617567707904,3732382821072099456,1713763977264408624,2130130366941230280,2483251421981578656,1107916589108871432,1561303188863167104,2351388611926253480,3702193626177005940,1360549260973281504,1588469165105661876,1300441376484514044,4054887637403634432,1065265178368919500,2481108195742274736,4205991833282123856,706322139382717440,4432318556689921152,1165244055040602144,2246740316442220760,599330355782165640,2521974470031181008,677246759481565026,2159202568904187264,733958347609477224,4372176279190624608,2491319700593749008,4297200620636133936,1158594639916425216,1915500344482613304,1230326772323912244,550098081988776488,516070723922932644,5296548805907328,211871299307696320,1589104851541639200,281858170304501472,3849498206264827788,2056499935475740128,4245747298674725070,2268068952595789908,4787665577925075216,822523757631838938,977460446042744724,3534401760491007360,6593047469759963376,1343409435743373024,537627358183066470,507404969098586832,2174688677285604480,369939684248276112,1818159607857149928,87521983324635560,700206762491038560,274094693930944764,1218252394732826720,1395986662351007604,1057730826065949720,765354209116643388,4252155460002552600,4572061180388339616,1475511700152827376,494897955125307672,2588567152169667720,897118100657634392,1100115505471564800,112556461394962512,530102324866853308,206475868489097592,3441416344511884200,5150381977394858148,5865393546928718418,632726129160834396,2718030431647038024,1313040187521966402,217976314618443870,2179859349106804800,1136923714294400016,1037967023616630696,79834076450653560,958051200162893760,3678637386055307280,2811212799870349512,3037651237992537840,2114373315459542112,395614649108946880,791264221752680640,322167789970721892,3747744843797932940,3627766308682374624,82420972529892690,329698442429862440,6296414427978532992,818332401250888524,1537543293534324190,3922724275817504976,2976476505072315300,1565991567531541248,373155628260166110,746344201068799020,569231841231884512,2085746821465431264,345887792022661152,3459030611227653440,127178348847475860,282631029305306400,2755858916627714030,2715666641328676992,808367574597362304,649186633626567464,1978447545269479566,5035175645128906698,2527451481920782464,5343494658924147264,5880790355438161152,2713235349687178272,1050632862660427800,2258577286938389088,314451464571525272,557031581792325174,790178937014542368,1001203860374715968,2771863623822991320,255791178451071036,852674907519673920,1524406337540394552,2445524736387977376,3092007628567252688,2068232114260663560,2739842811897704448,3236767853891914792,1301188804934140296,5976072778071813768,2395425312086394384,2430465839111232864,2001353260803082956,5969369303986940064,2781149030627745360,3446608380208134732,2259140186975105952,2184257706407908992,3712584744819103356,740547326450382384,3337604060532102522,1273197961525118760,7375009897877080032,422691381132031374,6954027654756192084,3271488153893044096,2435555471267703672,2418199870181706864,4316025853328827380,858247375103768196,6466591208940330816,2161066365203401614,991270953241418124,2547274677203605440,2564350901785241184,4294487812891287438,433976193366454530,11661259057518252,272108062069072320,1166228914682122200,430728882454670472,1700907713523881664,4357583549897322456,1044896521045301964,205271556334892928,1283003893003377600,5860587317634775152,2961345585497841630,3679057428871304880,1325837979657417216,869899779472093020,509799459575852790,929805911313804324,1370060944503399432,5581369181283927696,1143712307290787052,353226391635450432,72950770443302496,3282929681220596880,940429808263436280,452936632379986908,4513847425213547036,393229980252015768,1888349279444255376,1581631699481644120,2961371970010429632,1219563952717118520,41343175506241818,2480700115068194520,1346758692527404992,6088880078208975744,1415809734225786972,1090858292796279924,692959038296876136,28801264865028360,115210149147457680,1152152391010128800,3403355650094511504,3827920251508349568,2282852474246760550,474348412727899380,3201386833498740480,1711477975849286340,3302093765522386152,1850014459862499384,2659965184081985940,1788596947737106320,453179251146139344,2402510742143570214,570415090106448576,4278302203130717040,201479917398300024,2542292556105035412,452325254662436376,2645809288937755840,751437469877905824,656816488939094382,4378970078974703040,3304112166275177232,1233021770571180816,2254723441090692572,3729152005410312504,1344679288437066912,2510109492052012104,208895724302656278,2133857220520556736,89619292740696752,29452586815422594,589077767180554920,344949334855164892,6791689614889730112,5500709157737416656,4844339530479747828,1627007064095660544,553269679478342460,1437010973243446548,4626122409924517152,3772277953762951836,1301987965090726592,627927805726160940,1943165312067200190,417236855129636752,1406268194843964672,740058799710770304,115366001716612548,2307422011315929120,3382569669680438688,1730347449069992496,7701487434386812656,5991829040712121728,4390606437894416832,2258414975285992224,1979361569132769078,4174513603215186528,2096354358954273600,391364676956526174,1769013873829369168,332321985228095520,5815891802579237400,1490172400238020638,627235737862267710,196050819695930196,448702618794113856,3551043782259486324,6589361799137269350,1879707674922909120,1145921618823070848,259989693127754142,6906462113180583936,4907672189491081896,3275602476617449008,1492653153044129868,7110640945236887766,504992671159292784,841691659217719960,1799104667071670046,6282604164563912064,141296154112882384,1413024006336250560,57618570666153456,3457267076935897920,4394073631548513024,1676982377946047184,376620105134394156,871505105272522848,2334271375061326512,5595089662708204032,133469077967039658,465629641179619026,1242837632074204640,1498921342493079852,5203585773563261040,419852754729338858,721463988290478744,260153000187228192,5177200099950719496,5629398883952860674,434318996440467072,2163410022483997760,2546518749729189048,662538629382746202,4845063166086659004,662767165695169536,3936472153490746830,137026781314635198,1827104538300982080,1094513572051565700,2247113859789578040,579924839151642600,2319794774632753776,4059632472417414816,1159409403071567496,4616366551383922272,550224975004646496,2535964391831034456,1036938807320321070,3002180950209867984,3625990917480363060,2611009360360714752,580625910277821364,2045439345675302178,1244070582104593056,998061474177062824,2552787291750242040,866151781669145214,275670564251964404,1160658658065540672,5222405178181318986,1736929680860102088,2829190690551549120,2171085298196267640,6014858843271737424,3022881854126054184,4135099415475644616,2728829047979844736,2903504096555886024,874039409742578652,2404619492045135936,3534980527858659732,2661601014632872296,725338215413004690,3223867988396378400,438488658021586992,3600537343781895616,577981320720679800,4015925147361180816,1527530139442645584,1470077664148387620,1137838391318152044,921273684952279968,3652232750584250112,1038842088494530650,3011482739410782912,4388243705142571728,2726228778854936256,2378518143148538442,747949298611154238,2493274615785148680,1859799382788506016,2033061196655880510,866477465804944962,1908161369136899968,771107257521177444,2066605919266603374,3313427591266211328,870344423465201784,854718825788018352,1163514502180460510,3496385128355378352,3564789250437971424,4247471577091780848,807215856494473152,546838225555860936,1484287643064125748,1171367793473362320,1244547864099697776,461798333048087464,563998032609460128,1011777165537772140,278393651334447448,830342740751393670,788056634509199028,104986429280143104,1312388429423735700,57946494392435538,579490582457421360,3219534568434942000,328815870192455118,669386246070159938,2332318888128273552,4149290614502388096,5514312846420300704,1562611805122354596,4968470110695643008,2956170143087057092,1460629563751477944,2854955499605306856,3866464567321295884,567222469766485632,1728359312182670736,1654688625027618944,643004846145373152,2210164863899288436,2684306751739593690,254611296014059008,1198449759119363964,1501009265780494896,3175256050240314150,703722875356131426,4187948073078330176,2220331283583012504,821078777616171408,609974672328884216,6851066205637900608,4888895065474533792,6930649015239102128,3986001394489100610,105513069271386456,1267315634169356772,373134371185454688,4353426990667597920,398872493778240624,368814939062715432,2485782542960514462,107634615561032952,538196896502334720,1084448892628240704,4330265108089376466,439022385063503190,52885170661231260,1410333636342099200,123518957406244884,823496162969994480,2489207774229508280,1209756658823959320,2400928892662299624,1169909758163574738,2975627156655649188,6763126515199559856,3607496494881046264,7009877472630667470,3155667396724642176,69829354215695580,1256984012971335060,521571941355059154,5880438736423249740,4192418107915416576,2593438767907641990,1535069660088399908,5384224852472489856,4220862081871333332,3110439768879791392,6182829566210532096,1449958192780021056,491803727904212864,3539987358366984780,150915919939032528,6036904032724776960,3246082302346826688,156056290032357084,3424365770432978490,3592257602616034380,712569097145397888,148756558293193460,1785157727005612080,1042609473660008952,7627898938089105396,1774638339591833298,1977926205287800728,3684995249966754144,1580004191132299800,4039023615108726528,2003646079625431050,545274976949677392,1561443374425270272,597628347935292828,718271726636218068,3207543531400599240,560344216229023424,517073153130114066,2541356635808091294,1747209187528614216,3952305634258206288,2705462294050179972,3225220274975634144,460932168765939552,6146034373729282560,2673730183924367168,1640116191831517566,411984409420136448,2143173586263010952,3447417807456920112,801461218024793796,243226775714963288,3051986362328394576,4559371219458973764,4656336222635467232,5017590826981965936,1871680842403196976,2438945878832856710,1966207212980824920,1057970991581857080,180290918956679328,2060558890288490880,5746156267486082196,934827088006921296,1450785965453663652,448251457376007990,662219896594897410,547275239836558752,1368248691027759360,4184255177402664876,4148124017864958990,396267867107774424,2708598421828130736,250119741327060420,1490884243018635672,1508416154702877112,2792678426861349264,477518564981109696,1539817110358565240,2697627369437446656,737684495732847252,2109178156300188168,14856265423158336,24761539027912320,2228637216625228800,4317909375638425608,1017818316052143408,4090001705643896920,1644405974846324712,105248599816918434,1391817853008604592,3445020312544761264,5641866670932237888,93074624293165456,232696867377082440,3417430783238013888,1269710620476328968,3586224556543561680,992829614912773008,539485164955556908,728537609716890624,1676497936255180830,2148230839305362706,257190574500960288,1220728423566415644,2210871118282247984,757059446982194028,5356462226466526056,3091893668755490720,144978134211401130,1449845566154082900,523401185033348736,858297949552191648,2004904537809070446,3688174566817878102,2614230153918830700,3991881864756725520,473595802686871942,4059572432107012920,608460883204017096,6452290791000676992,739284857393190570,4790668763943133872,3547788221185132240,397979006768074368,2274266507122471680,1218518631528732108,4877303288585647104,1253275564781129832,2050062356658868552,3624077213081435550,1658044600500158784,2810381299848916992,3856742120175521232,2938556517492256710,2707559612157818944,1213532908376082264,6284914879799829312,4065437954923058720,828221896847501328,1238557667282700672,1819614884131376552,146330953007103090,582753786206700768,1087676930623566496,1235471062300767072,5309356878340291728,2829320727916529448,2804984867178183600,3319566308908760778,2365852293112520030,6634263242167838712,2915600144388369768,5369999868564284286,2722525787712896352,5111947188770596704,1778569265183151296,3687808094151605184,1019669667840897750,1384697115840380480,376993121071907196,3003009413993341488,456957798899993992,522087521698736136,4069522366810452000,412180133586124772,2085684323060897664,1340032936945978848,705440761494233444,4902689983202892,114401169371202840,1307499878786822400,2258082920740323672,2364701174229211020,1602281446085459150,3354565638801192192,299734729785544416,2813079896157292016,6964346387936417232,3070319013027482448,2478449982374146688,86665347778142088,1950056750164073220,3219678967338851968,3471222427567817664,3834622750824098310,553421436289318608,80141176534540968,2404341859156382880,292279771313715768,5115122709039286020,495351319678932096,2847186202074235232,519198738125087736,576913057282257840,2367363227950359720,2571834672859077120,2833721334077611110,2597531794910893456,1257823440399111264,93823353042100344,2814825358498612680,3352606715292499434,1124471574322180740,649160651706954096,1989387755379155940,893241782381263488,304784536124988480,2031986979664610400,5313533441322355920,459535826558834138,1433355895250157600,50277974132441856,1257005074628160800,2241988959644862228,1218440276558768736,3694253127055592528,3440684430153135720,2600474870266866648,1265331094157746064,2050300206647027808,1415254031037746820,20727828001581276,621862408213652160,6218899777871949600,3617034685021679790,163461703216621068,4504705610119911144,1309860500285669952,1660921592040478944,3138938215342609374,6685422116222988864,800474811649494552,3727919527718539296,2152872485682773490,2494996037176923072,239803299871657560,2398139322077628900,1874046203866261950,843024412522372608,1694124046426112840,2940144718185246552,1373707956103540860,187880569428975688,219491191578353472,4938770786408279460,539596577432677908,264206370088424592,880726950865720080,1971082270584190778,323070961920795204,1461160278527722872,227041074133526672,500661872540902116,1746062015072890050,4083562219489052672,3397333159350680700,4195767866682958566,3417469687746362240,639120770177312916,780378629577257472,361111183796188464,210479868862416648,1403261351164967040,5965675679487487348,4433677631543524848,1608127650999685032,1579435397377025784,3349800894271428000,3239183609308625616,4561115190366252204,3199867630961709600,1201946148734694408,463825034595816432,1643188675630265388,1302459297931906752,2969274111909824064,336577820556808572,4957458523142532078,3523112239627557984,6674453115239079648,369218180568412494,1184731044598084768,3569259863284267608,5057419378971615744,356353489098884934,2111738292073345782,1432490507809297728,289501261248320576,3257033641719956280,662173586089921944,4414686372211573440,1332420268884437760,10941875602277988,164135413840022220,547142313387199200,1215859436119716288,3166192415812479570,503271370609175304,2229014111322914568,672413784526745664,794298477787097046,5091228173383745832,2518768375559996160,4824939132350597280,4967438129046950088,1790931486119424,23880145713684480,179109037497139200,1194113216969728000,5830587611929846836,1341450355410638760,63868981645762716,425812099103440680,1063532389656595428,883180925447502092,3382375424269419936,4224169771052640354,512665035030830820,6307208671208552448,6271155158320939776,738510514664623728,1137346296985376448,1443701402276642592,117100988395618304,585530916908636160,2379607390330684362,2605372924441584384,2776407194975653008,5807495490306065808,1404671301521865828,3364118174322186180,4610867303584795752,4098370349231661900,2456609797581647544,4877414426379631104,678441078733237820,2812286721864932244,1476095579136678420,1367310009378852352,1855291285193993424,6834123031188982848,3830456927773973602,283075639212992256,1580811576963276924,1653779197453905020,544038076075390908,435558810418877856,544472670105381040,225525381599957016,477873154031618268,2447648765845804288,7078302184599584136,3017039189139042336,431747751520617504,3809594362605584880,2030843274446333952,2529004992927139960,397607133116687544,524832990177230040,963466578977400744,4300047824027135796,106709510061158904,1067142451927222880,1353064050999696,5799103254297720,57993605887810800,966602989384320000,1080735608202413352,1308973143023555876,2229151263141698406,515936426127583788,1423102689869701280,1776588495383917692,7009205489451853776,4526126079328817136,2980234912066832616,698444247041567136,6046684175717439088,439612550296190424,1673247161463005952,1427733435652653176,28437050599364988,284383126246887360,57903581566615548,5211553620361269060,1799618537727993744,289453464570141960,4341994662068236800,2986030135957241520,1199983321892760412,6591833378141237568,453145187813965272,969901665846667712,1589347208599530600,3703291868764482264,552725776794411264,183927541524494004,116172289487959272,1742661685253988480,2324215107978517320,974331467295414450,1170135800859130056,4685181873758123688,5456013983726775552,1751804283612782454,2469481538584220280,3873806623969318080,3485870997797636460,309080347080091092,3758497468066220958,1223391342478046608,1540187808151963488,2285807885094722976,1835821681659794340,106575404869645056,523362173712326388,3412924612735574136,2549261923226695710,5131361250630907680,1391578149992511744,5936033282023469982,2280807299240221530,622173481091591760,1162703607785643744,4493924501620933872,2137573618354559168,7108162941183230784,3436792432448603808,2262424753427072168,304904544992121144,2240146865123981568,331642953126932912,3065072748348096072,526543707057640164,4831043115380091240,159914940992359728,228460057606642260,2001062302917909264,541588738815274200,311716111486845120,1246919801131214720,4403079050345333820,6198420152930773536,1826165871012516432,2197550029075736292,370421584037782416,469284199801266976,6033921876001574640,912154144248680652,877543999420837950,658871043368031648,1647250740599950080,1207837392617172852,682341823548712008,1955160086506612032,1270379236813512300,1325801788836889272,1134683181086569218,1892190921785580168,1265390073766475712,3873811206341727504,376631988823776290,1549206953784761856,450291696006886488,4862004655146720272,2871229537007697984,251606823419387136,1572612471619091200,4185210996113421906,1647065741610474810,43101511501050112,431034253735284480,2208332775681674136,424545319290945728,1006351880535976824,3367404151042486440,1915023890352491992,1593757291339901250,3542871778086333168,1184104750943961480,4457977386600247488,626824564963924932,904508148587894328,1998204141480364224,1296483988839280044,671566724473147866,1350996747338584224,65033327543394600,1300724311326362000,1138226867909945724,2929187582076477744,4573738900361757376,2457203897352216936,1654257632077951428,1328057516572761216,1273469089802929056,4001105920863124656,3659558000866215894,1951215241433279328,2024328360325436400,469966334591533524,226085645020580430,2828176889614808256,479307362280707400,5462012153105887752,2099023319696126868,6591268675866225852,1147938337223530608,744949252477546038,2313771452234921696,1448984430023642736,2238081483803453184,560712862549329670,1583688826128121146,3303755179945155936,729872673374160000,1926929526285113064,778151916230181930,5287518842787335104,1706909999632617540,3637168426349262690,110240562889262612,827449569919557072,2497066590968211744,438131897993941810,876302717923903380,4209926458401153216,4477907438105737416,2671769439728617716,2530372157828372358,619590055549265740,2746278885852277632,2980123268825422296,2259199820606912992,135916136122070472,2315561188910565180,602326300523719640,5487241762196360622,2879330369043133632,85487430584207616,2564736843064014720,643156403483134728,5692594023270318464,4205313068966584380,342789344504846046,6646705005021887322,1279056400546998672,2370765346793777472,3485383485063505570,5555263131050309424,4672078692770775384,2384809207459093848,3101701589662665696,579987960926128704,1256821039266618312,1504913971818120960,2552993004793250256,3002555725500360804,519354153206254080,1416890586492485640,4830185616569756652,5241037083264740952,2643140890863312048,655144087743592672,4672575359464721136,914302806463067232,84995066955205560,4249942159508541000,3811001318276182218,3868667675284116936,1158770503282699524,3789581038084064520,1595318404702108816,1193937252621133536,1946570048222047680,2419999032452611712,995710925769423066,1251669343727197908,2615061041151478464,3818950535427693696,718930153669678038,3994233874904559900,7244661245148572256,3463206943347741696,575840963107050626,2590364051137703232,324347651044851888,366049629365253456,135542111444392224,3049833019133506320,5551588286051596544,5211213706141005024,676905475071146958,4136478669099894744,623905614455027400,141387498879566256,1030792983514467028,1983863040313940910,322822379545095576,3194303430329878872,4983422314165973460,1956636745047902574,3012604741326464768,1194478740298083744,4845679352606758644,1770570317959161816,2288336251714457328,2617688030440740624,2300774684782702896,2385527061504362160,1378818279285588300,60337744978560992,5430638376114099660,3194942810257030140,667430760950927176,108429181182416952,4879529995826535660,128297749439391540,256606902422905680,6905364451055028432,3815735759956865344,1360905271609522950,162338406738919488,1623456215378354280,520006109942927388,4210751799682263900,1440102656751619256,23338121546081376,103729594622868960,2334019608608482800,2381011154837304336,1475073282754564704,1582688474142734016,1717201831881884676,2915104930310644776,2865793332637111360,881980869826407342,4311483578822636172,4422925968553677680,6695143192757161044,1184891250397496940,3984453920098815156,870148603036717704,1196183744774083584,964039697956529840,1144483193930723388,1855821709835360520,985388299557861528,777217289465731752,1134472496789519424,3622173493830056732,4026371390220422160,1216363995794501298,451445229431726692,62104157175142080,931603766352679800,1207986872704643106,2206433534692524390,7280825931163192248,3526722569137244928,1414583226490052268,2295734729040376074,3990081322413394416,6629896642977159936,705561374724582984,3450723199131146584,2060485843951792944,2578150756726907040,542858593762284184,911490982032835908,150451553788359120,1504582420713979800,1522769784155618670,2840083845737719950,270449920047232464,7209726673971442176,8071938248557330494,7678631203728058458,2910552271410408744,3304008280953181296,859606095121627284,266090004852206370,4257629352298482240,812160583932044040,13612439125218024,204195664628013240,2042047428304665600,3485074022406649620,654896423241645906,1400478618456439548,4766653871890902288,2354401435873597200,1258570896740476088,2635777050927660324,1328280317556598512,2269187057665912524,4273662815510859216,4976371631366704980,1194920561846132884,6435526854227648832,2469389548098069324,748736200316839042,333771757542621216,766108026897999588,877000132869550104,5415022486367860128,2050108840355603328,1221144552366738560,4814880632831650416,3900720837939246846,462210372802817568,4463365162183575228,216861105095321544,3795238086173754220,9639871011873696,168705243899495520,482036415613512800,4828119871791105888,3689126308127472768,4368074420747847504,314319415963668048,4715000890645592880,6490645418097814860,1773503311274763552,2204686778676195078,717685998275486328,1462238930435064120,1919170259106579396,2273935994160530392,4296132271841209776,6806853224591309280,3360578847252498504,945463799326464096,1389261061181767590,199304398761160176,664377539421716280,2520127312979391984,437726493271201034,6844815930752693928,1114555729725518976,294314373217601112,613918199748773232,3837159385587464400,2635214662879270944,6194640506891617728,3552806667328919616,1105798884581610280,406726795142883072,785602135232549586,1741320897070259472,1101960983900169216,489154530577929264,4891762852199560080,19580142766889844,326350226376709200,1305458962772947200,385796808557594676,238157699860310112,2572251459420963672,428868923736869676,4196083294259504688,3597774388422579550,6016440302470984092,2240818943333510760,860728078004898876,1839222683499641976,214416437410113840,2859012988065546400,3239127637651328184,7689152460989741148,2365275890708156904,2560521011995957248,1935981073802163816,2807723683983026970,805583400365272464,2431289804028339024,429287573674518176,4019179160418134832,716083505251789752,6903459367517933376,2858473862464155804,1876198350032503440,1600042714733810688,4017498715246423500,7080221549597795748,3709660673100287568,746061483130775304,1479210571310044608,902290837137286548,577832915825132484,1362549615968577984,796897668398452764,2154263131891007172,3344305079019169944,1216559673238005576,429273708314181504,1999983432759240168,3068164220251815970,2090151354569972544,3103335572399230740,6132631667706746048,411983524220743872,3942269004355710336,3544291456549575840,2175034337040916092,386540891957354658,1188502500691763280,2815449307577041080,944221808844850740,520417381733262356,3717432383407383600,889103452295266560,6968590404775001584,2729261887902995610,15009009394934784,900580627294282560,593660823777706794,984776312939914176,2320971670902315720,238479118055976096,1139653964103534504,2024561511412122592,715582675388558736,6420409131787685088,3057180632792590128,2669766644380138296,1464098381678268288,14568756539856496,874164283371470160,3294640136641491684,87354422919969792,3931123927089288960,2208091929856328376,96152371866945504,160397715140280612,1069365677964798720,2418477794882833410,7165591539490302876,3480124227899994720,3614638217456416488,5171461095162730104,1776136584448621224,1175438536493537420,4806477627433942464,1596489403131701100,5715528067883612384,3923144785465345440,3465784061350371504,2271956371201777036,519675784230348822,3266262932308275300,171302398092011728,6434176258952115984,2316387901790148732,2702184876412444992,2604131601387058512,999830860068820932,1816899158430946040,4530833236998945960,2640204157238208648,3712238430449611164,732186140389751544,241629596672574720,3382964885480458880,2578087024813547730,1092851713880467344,3197116422349736348,183037571407061280,1220304777385894200,214899953613858148,2309876598147689424,2284719733519556208,2288064605069343672,6507463285450664244,7765274966108023692,440638074628695224,6139037609225287008,790840665688677648,1889149501642348032,2094801798041410260,1099890103195669608,357163125961019076,1587462314965456320,2628011493777793536,554790829226469362,87172705389019416,7845892643706759360,2103374419692196688,4243462269050796660,6304242432447478602,4427230287450254284,2587365864380696832,3016375102336190994,3336738294710250660,2400599818339780224,269176629252762588,5224003465096189008,1533631120827421086,1676636540850393180,747906737034614784,3022156427588357094,1251329573012606604,7126295389002338112,631313105847618144,5086858900969585224,839121832803905742,513223088779003296,3207787072651453200,267319138158820902,2673310362760851660,697907167671453696,5001768140915470344,1217954417418315918,1768176992430542232,775282297921183256,2310648364002997440,64400602485238590,1288069380081884600,60123049763334696,5411315331967740120,3803410301058782652,7880121149064784290,4408845406518952416,82151544286302656,2875432036231945680,2764804228112894544,196325958371014720,1963346974033298400,3141444237659147610,2264415772870379526,504961158923078256,2803439977376554752,4995392616680653968,3087427894263405792,1265118503166942336,2273933617391793216,1270166857681077864,2339948590388902368,1316881824444346468,113271250959209856,2831907332476989600,1705102272364177476,69690853853289216,2090818686863404080,581806704986924918,2741921284107411648,4137836155175343672,507948282612498736,3612779023275885750,597541828338686970,3492156535278526752,3398479754141218080,4774084164808734816,1471003798750997004,1016242541288886780,2594455794653506272,380462928651079032,38114373981582258,762321416205284160,477331184023295808,677967533992047546,2323451042509954428,877746222167083168,3310243242579540864,49464517568640192,1978668790833067520,1293087350555897376,641532828762606924,6415613907463872540,5136352881790844826,116249890740907872,2034463662507771040,330840604205136468,5183785165227956406,477620862667952960,207334785435795180,1658752133024154960,1965881103565020608,3107022901821457740,1420922424962215584,6361048902634693398,2009150077478685354,597500230410452592,980822568178361616,5614186580070923592,6776256102354375804,1507723347713306864,1301500298957817024,1532569516108120422,1610571283850786070,6373367961279431040,651316563755419752,223782037257640732,1226460331015015428,1290061321097416128,962805428025189696,1396433871190133406,732803165972138970,3257047982063339200,7421652118805874768,52527548342715336,1050597746046424480,3187113096117100704,2918157460593308208,3980380363675712016,3204026126473892880,1034679064857614208,6333507611925722676,1894251295854521478,823241688958261584,2732530477356813024,871291235973262896,2376921191071191210,886151059681944050,856975507131856104,662240012248130328,3389317920060087852,623791031704008192,3219892115104449540,123221540427886432,1232270277407788080,2669920878729652176,2951773069874771120,1227522438314089344,2143353102496003080,3740885469889659984,6657459899588018856,420132654656123904,2801009098112237760,1181428328061384996,2877397033415493792,2678130445012810656,4795146924176593872,1325648636713915008,214990010808546108,2222303000882053824,2981660825367079254,4160315003518235604,1781061210854721792,1574300784727902912,4321008818841899904,6551738028937128720,3430623264508039776,2293505277278424944,3686858415936662274,1367648852610137220,421571998970226968,1097801075188975344,1810573362866570820,3207075320274229784,1366102011533915376,1649633343523442592,912886299021284024,1793295078285436704,2854143433282561344,5729015171790962656,5934020091524347344,241721842821087132,7251978270870894960,2880709480415397888,7030037065102903098,4256202328578780228,1282518208216604520,2538391901215442940,3918232036132322480,2795156601108924870,1059852439588536396,3121169903269666976,1387185281099002692,35904274050675990,2872469863941324800,6700403514708770976,811433606574227994,724285402446932514,5208141464596793952,559413642849390912,390444761618008218,2603081022309539640,3999526630143201792,479518318445613016,2807489468007902160,106382183949072684,582748737262304912,1616141389259876184,7164528396380049690,614503723473321348,5717133356558903136,6738671919768940224,473603609534342166,1980841912127698842,1388283301606005216,4084406079116685120,5743128923227771068,855778951124953464,2030797736879968952,580508661977076432,3728070362746541658,3660366460830110350,5335213587364902456,622520234289718776,4271810229208643856,2749137968475885672,1320444411296941728,5804096001746409536,5753069535790512306,866050909743794268,3107337314796845408,1867716993367034208,473682739067105832,2119780472924862992,4218283675898859600,1190406638408301096,871677762477870016,6127015412113367688,2973242815927511904,115763703614556432,1929481016500747800,903375120807504360,887175032187487248,2974377506627163780,1291782448351137528,1254037668693039472,4509300470524313328,1098656698289367168,4547745509789223098,402296362913748114,574734694765873680,2047102869627629352,1303587173792269188,1330116317588393472,1888608652159700988,1032682252085774592,4448170022551978536,466047645894093096,1035707578482263040,1731018381789418740,1983658633127526272,1277629487109786792,3462315700318515552,1114578304501205328,298767206171096676,2987805179252991240,4464101606097184832,506628188902096272,3377671748754495840,525639259128953180,261043370296995528,768860610466630416,482794238512495956,4819213492125366978,876245745217262304,2789554419162013984,1053695361661017372,2653027992224494200,1294592835936004836,21464240832516096,357753287414492400,2862153827176662400,6359673653855508024,2469034263486942672,5801320918589305104,4588417653060610620,7072807675434150816,3835235215013016584,5228635003605628380,3364224404355972432,2594847180109679680,4652777624289706080,1715944074049012608,189581512981210524,104643624631536144,1831345034309794080,3862908343618935780,701727803909362608,1485871454426669904,376137656194965896,4836271084432258680,3053966549599872360,1808212735369433848,2216876562341964144,110878690339128312,616020174598647600,1858879862387525088,331302039891947724,1638226816621522566,848973164859813510,1128556765599956856,288294717043570688,360384455866764960,2508888326189020686,239346374612823136,3590355615676626960,4032310546375947972,3158432436676978368,2571153939448721760,2113820225793140640,2681993808462763080,979971071119692984,4229101076323318272,2015826919570582176,3822134871063186810,4992777467478532044,9151820501392248,823700553360765120,3661054503914577600,3375977730250913016,654502115576503080,1928762640195401340,1150047026676757804,719605201361528394,6591044159672695668,5156317261158042768,2543425257688090938,499347894685749606,4993701501164352480,6968727301360536,348451894649248200,6272413649729197200,2516597521192954980,1243198496905070400,2692794563573643144,792645672255319056,535389988307972544,2202885291763250940,7001673618268782864,872045351406829548,3984312956384020656,1031301680574008016,1589476265804412036,554009121276115252,8271478372313046240,3489029660420638224,2423450418617511012,341741692707012612,5798734799800800708,4482739297107462080,5808063342473753094,6344932209782431776,1486626578577903344,291532298917667136,728863233911495760,6092434719753380474,2286616663938666312,896214692921475456,1563875014975233072,105180607934324472,126936588772892304,2066789202220672248,2679222872854978536,1115376489967291890,1522759278464126528,426311011229520384,562645053580531032,3851762579900589904,943432865119531800,254623898669731584,363764641272167680,5170191534975119364,577337653351257144,883675704383084096,1254050851479309702,4330230360919276770,2645283366997782016,529899041902963884,5367461712076735920,918903555994436168,1337636005766084304,6802696090997863488,456892023781948032,2985880901308378470,3332717007904263168,3698330188227433088,5514978066459896592,3431071101872350728,973666053012154224,2910240249712181760,1846708282062786828,5501170869433825292,1347817727029188672,5514699584355523632,2807636925438908928,286804585253552940,956057904214215600,1334582272297964160,2225803420520182536,5602134128119896,336143032813357440,1120526728883625600,343883086296976224,2579238129986575440,1775978009716408272,2157293621948173344,6521638950431238672,5162934764763421548,3550667592646369152,1069229289912051048,711483675997498830,1878009290107648038,4885529369633191776,1469728003595961744,790752071920368150,3907919937310891040,1593450234531238656,274724944292022672,2678250357379485564,4072102901837496918,1519125940125249984,677119566036356976,1674981053782336476,27619867871573346,736562648587383040,6445210527475280400,4295393607132032610,1694158145430626834,1694654886272315904,82506692465240256,5775725981553349080,4143083721560646720,7770759107993568576,1982262028963714652,288067293783977148,960267126635309640,806363505762107700,1369404274133349936,2102157085988557188,1438425433572809276,6254111803580428032,451486703834144076,7216681503172994028,2368526819353939488,1053786249386298648,1454987545403889184,6983793578699619534,2656248859623622752,534802842658397672,4937095813147478820,2211456721621127592,5313040588192094100,1988011980115019568,326455893969359880,478302863088034318,695160438270066450,1384498469545515504,899501476514467992,2538879377471298504,4640613502674437856,2418465036710809856,1651612151777074368,4511585506559318784,1836147486864012750,4424071671920256840,2911390764170278536,1648367643886428080,1413112480790301312,1440549249154862472,6041336891186685384,413303542192411356,622800237434019768,651002048553077568,2798352075047449032,2884778936760467142,2915085279353796934,4011701406106997448,2215890882284150016,3512266954747931752,825060044309757348,811944262013535072,3062019813261287328,4287591723738179178,2181558558597505056,7235281112683679460,4192137280776388944,2041367517088428540,2535706446427240464,4991819304852037152,7902535336791792552,408351342301421506,1087075332722692116,7493568798687647796,6182545888892895424,3209314974679866738,1725878334300945192,254900838320671752,4127733468190243296,3289404438249040062,4315290378396027690,1272979370803537980,2053721286161572608,2974567701662040834,1025451544746845484,946234801362184320,76808439653847620,6913067871813605100,1401253676734269744,2367236020295678840,317104814135044800,792797392328485500,3832095120617808192,1208723650389398520,1235515988914784532,3147312938245399072,208994299574867376,1363751781837966576,2461162113202633056,2257793926971993216,260195025928716648,2230342551211925760,8303974669281911796,1684915024112147244,359859340479367494,3598753909139445960,2446286249303138304,2563925522372657508,641348185242538008,6044141187616887576,770503521140598608,312184952759904840,5619579788990618640,652034029701327768,6497117753558807088,7143435568893560112,3781660539253504782,2224789958691874080,8015248197875409084,3609552711575942082,990187266755832540,1157235980188259280,287955984269204592,109773129670120392,274445065234526340,2638503215304809136,804409341144307272,1458746703130476060,957129320791580912,1846338362792919828,3861279445557927360,1563711165118237152,2962588408402373424,7013757110402241408,2228361306326676696,915245031138306858,3779577960372619830,571265108242158384,95370410036295840,1144495970983133640,41258076242046612,1650396666571585920,3145616858920884096,1592450740829183936,371996676207600444,1533379679013337380,1333331787179866760,7198914465949941144,2124819864214068096,4512286463689271680,844952083083051936,47334455468108346,3313559691569145340,196081965398672820,3268178542112076000,1398864636815778,13989270399614820,15544327178925600,466350618413748000,5585580212914083186,2410075227147917184,842497135919338608,476368071638372352,466514829179351550,5598427690827433800,3693265942505697216,7428501805513804884,4679886559709186664,651094870189199568,3167606679663163164,3150860325234889216,3215122825122812736,562220267280215184,60977270435893952,686024896370962680,6860555018062162200,291798858641810944,3670504185626686716,5130851651241013080,92490350014610504,924944763296457360,5016265160159797056,3526134496101123936,2808138717940581774,1902819636880224132,4241822226514862760,68329814477360976,6149957668053103980,1437339973647021730,484411738560317064,4152285862001711280,1495143290362099672,7456343469887361552,7220187432619278816,5462456630212991304,456951754813915176,7449698545240662504,3967619769659717120,3156800350448874528,6139503798880339008,1704889472536399392,115000825975552440,920047655483389440,428648777721012796,3803562345084908112,1509105869465767440,410003804890847384,1757237563787272920,483496512787038456,3273098144736971088,6200103837630120000,261511076208036252,1485805556938399752,4379652688172441280,1333933328872847184,3156715033114747548,5218014122758414710,359649891282383136,861916710052467248,382917599776847172,250081976639901312,2917753243657781760,2110422068504831760,3796358559414311616,249365672125842920,2493767988396496800,614214384804401904,2086733429442209072,3730383219873279690,5804938813264465680,5801129771174451952,1584095192789138304,849688967298223008,2001898868207711168,2876056347339457920,1537560445331905272,858700586741290164,101682927986585328,1186353761551458360,6060607107789661392,619485947597064864,6195135905256082560,979740056816631296,4596345387305277408,603441619840814220,2155162366332752128,818905901261265648,1376841308566340928,1604212756611601230,790882441434729144,203584673202571104,160351890086403828,5326046108888274864,649032478273016712,2781691889292738840,4155389156040724770,4035661699098493860,1134663755032720608,270342062009767008,2252951050011352200,2260274945660113272,231157757636407296,1155840365645890560,374222031148481670,6736297158676603980,3665825378026564368,5753483606499098368,5606431956947141694,2394478554202817472,1065555119947608912,6626196095496019452,2377072124249820894,3316406161262570912,3126694818752107776,614078095872872064,2385864010008153784,663776688415260288,4521482348377314816,1317905064729579920,1434040997425181406,255941227256270130,4265877489953637000,722845556524723248,4015987865912807100,3113610656660252592,4441488252337014840,477827232181185240,2553207600317625680,2459581990219640700,3077535302040923064,3006785410547980040,1508117021856173856,37259431801515576,372610946763826560,1512489032208614220,206204923182104178,182785292018108328,888214575013136748,2548112399569072512,1951313279988361264,1075633066464856020,1705828186681729968,561238505007555296,1403158884108801240,2180063656802906190,5400899255815372296,2524775950797005808,786565527177491154,344555348524431444,3750223576814649792,3045299014240696080,1796105108298308016,1458132501619783104,708249489453281316,3498451472804652336,1478175698801693250,539727895883396088,817641722336592336,1629933752367674760,1314251427526742826,1854880285979185212,3233088267909565104,2054627522027510760,1053548016287821624,2256844773778320024,6558206869160979984,900852175598250436,1080225822305174604,2785060898244314040,751044115982958776,1864146394079242176,4254124788917546730,151712917559648968,1517196892703532480,28069394230434816,842119413484446720,924475876971298788,772579671395059572,583838218556981232,505984104087958944,5060066891726871360,2027888682323087232,1011997483367898456,3725432630744757390,859344989775502098,472863171782924496,961733450197275456,1562406606765640368,3492632010808862250,1400898720273846600,7344252063629527296,2108510890831190358,3041333519192364942,3460017239580490512,228541288591314528,1003008512029012830,730265757395216208,1924468438387669776,7783195522920341904,1507186774401262794,6591246093349186014,1454153769068165496,1347884251622607872,853657984305432036,2881754960658262524,361029361117880160,7220909544697252800,3255569277358275612,2850711379382494840,1055767167595602216,2825687457596331000,6562379386888568390,4447037178223380210,816507653574312384,1865399373245401296,280145996909259558,2746519016564423664,4006434565150589352,682418055753293904,6824485195938053820,262064902376232536,1497580578792372480,7313941555445402592,1305656845681407964,5209911325437327504,1542467903155146912,206250615691998240,2887637523971623920,1053606030355282536,4088499372073144992,1045337653753696860,203426591372965128,587721694371256464,4204916377450432224,537393048510468960,3274863253734144650,886728800454643224,2234216796866165232,6243741084944212108,3815598455202202614,4171879025869919076,6874068034266496768,287273298504076056,120993473040679962,268886388212995880,1600923854774490624,901102797418461984,2913335533388366688,7278026220830260566,1594859259122087256,1782227635941817680,821820673010176992,1700824558524568632,21824168113878984,187072649685563760,623603338827454800,1419907131385624110,50760366524495316,56402925298003440,3948381042617411400,916328432260524030,1977815453429593008,923144983692534448,726680975738911002,4561886447523818406,3386578439621946624,3622602171306805248,1100419481722417644,776187598555694210,1400253227079298704,878560533590156736,152891994315339594,2917941466093514190,1307926045219342464,5515969736689170752,276584176916331102,874827729611719368,1429014287431424832,3923923299514747008,1589813981306068050,5745608404324859042,5779255379940059688,3733744794420155040,3387090705402494024,900852322996167732,495386265997637784,672386020863832740,349320263237879376,655132064585934534,874906632710260304,2106152854650473976,3135088864103287896,4163522286058755312,631012897054290912,316218376018848732,969633621575703894,393015873638094162,1011578190800285304,3989425631209118464,2288729522254269690,4549868780036855184,820353879262760944,3783410580244712544,625709742209576508,576867063168215684,793483384009351464,3526750286344671360,1476816660727663510,1017027082385958366,366235070258233728,7074014549645466528,1597423822500447630,2476044794334083238,695968306548277164,329772651652293168,1824894093538578552,3093611089919539024,311924663268643008,1837047947473144764,1318352773512234432,4234947361938063288,3288344628375593496,6490726540394893632,533329088512060644,1786624842009842370,809529843817483008,2409567238620777384,2702723952620119824,2141022173135030856,3014374451271142968,2279398145879116800,5693740684828422,512459544388818060,5124824282242893600,25516766109049056,63794763909702360,637976126813612400,3455799114688619640,549152863430687472,7644799094788798272,6358817800221255376,2198308927521035904,4525323147247136760,3614918008571918344,4515311616684612174,1923631188026044140,4255547814215024640,7383248025959236992,691950017469965982,1116870538452944352,3579617754774356928,3697002382097594034,938495206560835476,845942547579531012,922198867739765568,4775464189787948818,539186055253191234,4241861054140939440,2675408133852068472,376708391300630466,8278973977595773122,3283954335215433780,1745922091434276096,560272179821789106,918365731054886474,640061451692605464,4227851952166749984,3607227507045200094,841459148162345808,818938511806511712,1335111434255624688,3203609967545905764,3548606007403637820,1299408847036704768,1598081165029220688,3056285843009100528,298564861604331224,3412322234094232320,3262364524907390784,3444071962913339424,60833102137523694,608358189652187760,3068188609571578944,175086575932175760,2451321535855473120,1302994819007780536,813916651761224544,3224355838968602304,4358328384304392610,2097396589081729536,3934025286547137120,993399054185575620,1410519284496192396,1197775513992286548,762024735968868864,15733705122752208,314688156430367040,2753644346842715200,917117872782585264,2516152241440614798,4453239572204097468,6897301555046308452,283894065134837520,4542507914056150720,6464107097707595490,1351137121313606208,886231923795230652,235408353869403666,3026814016945471020,3567710651664074524,1022214440913140880,4429398414047576496,1560702892238970660,192892894873912464,130937965045413240,785662879598642760,2147987237800069404,2996931330043454376,1423139581420009200,2343763763554755840,7929557090809347096,982444885979578944,3869000739831362352,768409420141489650,488089940373790524,3486512435521532400,2788826581634477472,728806824427354242,1576340653103739288,1977786656421223200,184217995581590780,7121006508192030192,332045143677739182,2783611799868755544,4152520814135298480,3434800967320888440,1017325908038075490,909716159129175552,1041655196138396004,1229817927591522564,868497611105027232,2662174209802640880,5054080756522022640,3410646623360784360,4527409302605155860,1922540283480467936,298848355652537460,2134726460311045500,916409871836360704,6935805808809243984,83236739146332288,4994427429176718720,2800712288222122176,1322343831325575744,1339986062944018356,5233513050535067232,4937893084609860024,4833975999121954432,1615138057028682240,370436512209529722,6755351564460291184,3269046282879532608,545334988281919344,2744407662512433320,559617899242454694,8207035421314594284,3756905115997173672,3593421520313577660,1602213833867592528,6103743075631204864,6674109190473316284,2850946983607276818,2755937112030643026,3007742480221671060,875856196068581952,230489693701085512,1152499948854178440,76376924045435616,3437115113230719120,9869167894015584,148044131366977440,1974009928453516800,5031061483458613104,5729957563045645650,4957866064472009868,6631264448175093840,4122310251114062568,945882464221092130,1874571447919217436,3127274996338394064,1450758032206472704,6870695246017886832,8557905382344363276,2748648154478453016,4553547654188293728,917877596200792470,4095293005407560082,1088951003431995312,765028164331130904,5761278282016229832,2685011962624591824,81006815936559744,1620208695088245360,1580122705380405912,2330970075938693448,2718018624112988768,972261857559607632,874754723701875366,2354307991504282384,613100918789904576,1532820770825980560,40172723835042864,401745185106202080,585329628811328496,79679634114295776,1394455890522374820,161303898275086536,806555522204848960,2095824028462273920,368289138618583656,3261072689574651832,505270306273719432,818566435616322240,3266247753268412704,4654651552622673408,1565408471898759840,177907917690642352,2668737987054029160,289752140189011602,143549131902490660,1148444360504512320,14292574748457054,122513256704798040,1429385184588412800,903108033690447816,2335493470333686782,2800379688459288012,5045315448263411952,5289540599555914688,3438548543367679272,2827456278207377004,3255347521546155104,967556918036917008,213763056631602120,1068863034666669800,5036098036960384020,2432139632464633560,4057471904490707076,5440003556888468736,100128510504517488,44118541367818276,3088435873797594180,1749183114589670016,260499795337914264,6946971571806520320,201828294225730962,2018373115438846980,205088457627768768,769116077407826280,5189138173227585504,3704391140960181780,705340453232943468,1748236552500103880,623327085158674134,1460064357245393712,77833644668517440,778371222049296600,361653746223948552,1485509736775944828,3919382538869807856,809033084683830000,3406511052065910496,3405748930877141376,849189365392964544,1652734385119277504,597792756069650928,1027131598211871078,365883280245461016,5226531823085755248,766841888043909954,7668761508198424260,5970461264826375744,860965047315161664,5646276576785764704,782883245145583866,159507860393518488,5727579649033401216,4891935203149889664,2172992093315720568,6706560100113869688,2958407625831380688,683585115735078018,738553464328868076,1903477781349463956,1602371369211292416,1017338519435535504,4109904845550634896,2731946330001565440,4835578772788174476,576559450239510390,29219487843664008,389610579145170560,117057495345250944,585313628786091120,3526781513138189418,2165871900549463560,2924479886825873088,456541025346848700,4565614249043847000,3566126748784210032,1110752187546488096,2572071537333087504,8055200736360479376,311437801374002512,1173300552602803260,426715462041009192,2135963565831645080,3022556922290881584,2388178155601714560,6551316506972184472,6457986365215004046,2724554726994321648,3499726005544255960,554790933327046572,4266579246309325440,4250727006594759840,4908577067540860032,4475216516928775056,679678901693856120,5170740453104314368,1987889582781533556,3450015024197960896,4698124739479217520,2249280617946163956,6950365090570227312,144578302643437872,722923815819672240,2195886994363435992,4151516992282756572,329703500400671328,2750091673132771464,147758044115087028,1549476975757641624,1436674351701850280,708126242945797302,1762989359259045360,1284316833224419544,3921945875490421728,2305191954169515924,4770663531357500340,1776546484289221248,229262477358544506,1108679273279737968,6487060907614633152,1247493281967627336,1246584667329481216,2082006533503801638,389846763632109696,102551033286035264,2051112320076738240,1910233218458462580,595905397374860224,93619566104691804,6553662481176727980,6335080313409250434,2738656714568363388,939188421584167392,3015777468778095690,1032782075401915872,4602091070343218256,4002823102334530280,920399773479269256,1265640671790556698,5073914273584946568,1513330840157485344,3315938008164962088,3535745783447367192,234442977772677696,838262683729267632,1191827785916799416,4439397370923499356,3297557743060896540,4090839996049712640,2393558812203795120,2806477494030830088,3441589282533315720,1137322615009891104,2751767573643418788,2935826388629503248,5379023617207978572,1383564085190186592,350604537245895156,1502658024485318280,1538785708381662720,8641601110646197956,3725235510235007256,1284436472907773772,2565412788115831872,5691996510242535072,2715451501552037820,1225805938174425980,1735769561054200320,5224411972747168956,89980402967379232,1124805303296413200,1931900077051122672,2626051479595537216,390860892449554974,316866441510644472,3168806026490021760,2767097482019731080,3022182826199908464,4033182101876753430,1412224798663646496,5103718550318186496,2376659249680207264,311773196461022088,4161882956638351896,1433416878907962912,1884868369469938422,3472797074180717472,692968137041535300,421401751856038008,355647561536249532,5963278574911943898,1675612833277477632,1320574569856617984,6514366016837001184,3395841834500327232,3083191246917798528,959337107924461808,2726817335205624558,3640936267914630498,1297676912254552144,7110344789979232032,1413403449360628698,799538917989930912,5330497680255317760,590945097007400616,196229092320134440,1962378624935307600,506152659503743488,5061752813346287360,534460646124947388,2068474433760828840,343474711151004180,1076011319552549184,2207691962172486120,2072660156510233470,893088188369243568,2613712708733524380,2788952110492398970,604164209865655860,727345867818307644,492640637917584288,772206554890398000,2895904006673782500,2875458810444272256,4449719753818872660,1020507423329220030,108633972311278352,600545211964065420,1643751788606924976,3740315124809708064,871368673867372008,32016422501865648,320178534900552720,3735583196858389800,1007755960739716980,1852929373010189580,878965058689752384,2312074301714647152,7653705814641211968,7797431478541758768,1858946627380633584,3559152817040695404,783737443237582944,339316972804671948,4430522536765402176,701905809500131920,5264528866424508600,632849230908826344,2109591723681673560,261677888482134726,6141147450396522912,52588064123430012,2103616585788880320,2955838645307000530,2471219266606130124,1884009805027945056,1425355170824443248,7048746306448444608,308267318403481806,119882828681245736,2997204678343087200,564554397160582308,1828280199519381708,1293876694503347256,3532808012592826176,3267121574326109856,1816862306165724510,496856996598433728,3289757159513352096,642699411421758750,4947621119838692352,375714444133196896,2557915064180447436,2341863119772363492,480555695242385472,3003607345823013600,788385649986342144,136680218770896592,341715820477291560,1023455917982097648,2197228417125485920,5666008535629593984,2763194848673932416,4384363379798591072,2547913927597684320,4458758992102852032,2918176499138053560,2054595860262772992,1752794605682940600,131156152454695626,437206716871258860,1953494268812223024,308007192085745280,1540104799479670800,6600316421437163838,4238758567890869616,1400330540045220660,2586515459379332184,5203794996963357504,7345826258564335872,915516678122045232,4199194885096416984,212303789926164738,1103990124604502016,2611365678420227604,6633970841752167564,6001996755495846672,6431824318924907532,1791516588086628480,2021134385463532362,6427343324531297168,4077931366159835976,3257039866665877080,2083099926132038604,768341498647351230,1133328507732253368,2448725550020286120,3612510463957913268,799258864338790272,2533277256843376736,4957515207665672484,1160190495208461288,1919647688177646256,864757872058441212,884143019108175264,321404804521773498,806661526473004368,226584284060610864,2265944128042912080,6917265828238359792,5286383799028319592,592000237577258272,2960133506242799040,2418346108684704744,1985988408606045432,2383580162513885472,706543795974857832,1610762810824128468,742554067651373376,2511886230450001104,4076671383792510336,1289950325038626768,622486157997729924,2781278863700522416,528299545702393152,3522154414922029440,251543300664567816,1886659090626039480,3680222002954210944,6428082775236040368,2048333553631587708,2495462358633373440,1061453234465583520,3196252651524278742,636210256154673354,2657228205827611520,910717985824982880,5329213695945254688,4150457788113878540,3677155411938730848,2358660111773745240,300572485664341268,2576450763771921360,811183835677901664,836210016157251360,3501183557882366070,196569309201022902,84363748840585472,1476431604596682720,657673563371417424,671781985898841554,2649020348195265888,387005990391833280,6192372661363214560,2796799595485551678,2275387007988052704,7425362947573575180,3748270635138293856,4765527960926343552,479902710257389152,3761021757216641904,1292781990794789088,834953939848805552,1979553532307750784,3527566221413367264,183480306858536358,611628364689442740,1109074195463024736,2478878751525446688,1907537550609826656,4378379655522556680,1940080793704805376,2819840394825725148,5108845579860311856,3816584461348845816,3508157340945975960,5551900878591936,111042981632050880,3886678107212577600,4787724254301896880,187585968753738464,1875943550045379360,2383794605240950248,310096540510594048,4651656056872427520,5610715554024971388,2340939637137042696,8098961992935264,647945925571664640,4049843081492604000,2144245000781600304,562262373843980592,431415722133569784,3335709138753792096,272262143608266672,3095502746025078272,2753285249542674636,2036700096189501630,525973712984628876,6229728717992690784,5789688095614614048,7021241774078008592,34368561991073808,85925246297329440,859290877932706400,1985843069895305880,649903578729507576,6499326343438671840,1587180040521346464,407713487130362952,4756870009230068520,2835139214116538208,2022945610350269988,892144349653517808,288972440978987124,1878485627845736976,3975140164340625920,1327454387865310248,499579049279872398,355844194418645160,632030731428985812,1401562774649767248,4072256516789178718,6576485909942078340,1228237561913955504,2583119015555768136,5512141567980862632,1214563120485451488,435705385819491096,953000371984105476,5168257427644422696,5642847699031574416,759587782670873856,2899456655292887580,2755504529518633050,799650115769587152,280630024690284792,2806425714106325880,1136782976045855364,802406789432742060,1279547314972763232,719178827028580368,7393896430256175246,3228730263217412352,908672668203536544,321547464470790714,2285154085260068624,2709500662007153424,1206821153274435360,2761032684691223856,1389191967261095952,108135596945942232,940358176987894236,67925380838308158,4075705066720367880,7446710374184014912,1029901913254862928,2112379017049956240,2744909926355495104,176004716906953728,1100078663247671400,2210662786266367308,2508439583443747740,910701814763708100,970849254177592944,303844736500603542,847903752354385584,741164610811958856,3294212216612941920,1243787324425881912,1882534219370449088,397772388434138952,66725672189336256,4003719333046393920,3223500751192825872,2121397142408964288,2407653161651697552,201768368941726752,246644786161986384,924959302229873640,744520414688852160,2554599286789746930,218270588060172010,452506853081693952,2753981106130922184,875198157456354354,2447394616742568174,5337842631891519456,1552748443034345392,3657307577587810584,1345786202882868744,1714963766091125632,372926093245353576,5553030949984385658,103205868626722444,373133576656829268,1599215400705322080,436518524806816870,449655092729516772,5227664091952629888,7309447953601969440,651309256758110508,1277490465718059528,2051346833996239392,2423640908721247104,735786395927912976,5161600126630924596,768448844512359072,7463233594504036404,1830196984252070896,657870222914093376,2105980159530175128,653750721998698112,5238894315382336464,3355596716410476840,1666878678689557088,497010056281731408,429037593776460540,715094628776547300,1461547835869415580,1926873804352594176,2446058589734160522,2198239976521814484,1002023446635894720,87992989365510592,3959861571348297120,4314710934290567016,3494126886177263424,5362472262190270464,806758383146755914,1377844349762215632,2968022593749941664,5016994347976755012,6051285472757284350,4204506430333413240,2259886474045790208,2240966429544055080,1211486380385831676,173600594713842048,5287492192705070096,2065494777587289684,156669628177369296,587537375533247340,5865855154789385448,2845022982951148416,5894260380176089914,5969373721484212584,1492927102015082208,4179793129187377492,84403118329885128,844068923426988240,1182070923611375296,159825720071973648,1598328665601997560,961973090246212308,1312160514151246560,5953425978865804128,6534993844995370236,1171504315196224938,8643366954814574556,4615984762724239776,4109013493395359910,1093503880852074756,3499171464980770920,251769516997970952,277035529127978214,1613309338569967744,633774443412478176,594703264041829824,1009561334841566796,412778886051166830,1181578037715863568,90600422993339544,906044741924728680,122489212070521890,1469936270235679440,2911803199661676672,1847282072347921152,394870093753174222,37889546211026784,757824809045941440,2736227068970637318,555259740852567852,2433315005253410688,1248949017187277120,532516119249686748,3291564522129735600,549902559512030208,6801694822585131744,2556471849801453456,493666140825003524,196466939372402460,873225442349654400,1952679576596303844,1831106209751510724,409684575648277728,5462705267162098560,6503289321849515748,2204823251170464210,1905579489202447328,2491611144257357568,438140672813768688,1342878443330052648,4338473816692486656,4043394848347978080,272678484605002540,1519133359362048024,1693722236955410904,598925686200796544,520275611891026728,7804483150484466360,6407325746495376384,690216822725436960,1189552141818121014,175578857965846632,1463222576953618800,8625204148984366608,5086218656736940842,3392689266994189734,4902583431735630144,2079346398994867464,158737857244554582,1234682987059795140,3897468143112489340,5424300782313807456,1262453095191779022,5733244438772688222,627924091767768864,1486769954071063392,2621589943308388074,4306068951817208460,734360621422243728,900468508411722896,2252441527991203248,706843562081656710,1393012133157446784,5294467723796632332,3343108624939918890,5432312770587976336,864935340652475316,768406622871826752,7091411374636904898,7863317447234664624,5771379459184573392,4507857566044960872,1847169046333015614,244919196731095056,956702518449459856,1683299534917870464,3194208099165197664,1187644808564830170,16387461727722624,655527781450731840,3918919109438546268,3702732760248035328,769592821931889912,4749444188079774976,43150812908573208,647291137777109640,1485803879931232128,7841607727413476196,4947294636832792248,1070307070272741576,5483776008083697756,352019332904158656,3095626910558175096,3340896439931861208,923519513353742784,2016600615959224416,5625425477603856036,1302912009806983848,1383634348815903108,5994099737277778944,5184756151103370996,4504195351867691034,642027846980539800,2853584699489772000,1813556746615936944,2346904012669667328,4799943186278805480,3589709650902819880,1625511071764555092,5882151203410423104,3105046316114969632,1462652884630003176,5562739329325737696,773779143465632788,907350544238688012,565077932957489616,8067146838417228762,310202874960112584,1551083734170629280,6748355192211554784,535786709616150924,420364328943399330,1013842926960391264,1678341192844737456,1968947989934819850,1911307998658038624,2223478750665126240,4463122184241306624,79832668209129480,1596724764914858400,160825642146896448,1608328341157882880,103294800887153364,2754651203651328960,2874598690654101072,7546899378573449928,2400649203394528920,5939443281048146632,578902420487119488,847564611029211240,2844609957892943420,6725824821361006470,2770694097824941440,599033508234067700,236858946997232736,3553043087735966880,5872426089396922440,8005846385234047824,7886802222602121504,8638845849009606294,699677013520873032,449781641655180696,6747026335255150020,5168633711146008678,1596297584783244600,138872059090089248,5555130775892819520,60741134402060574,1417356516937129440,417865523110113672,4178842099391238840,4802696341324626024,6475959460811170008,1388557549106125056,2012805512199529848,339085386634568520,1695502752410517600,1683710747875988016,5980400095450464090,4242978745441655904,575776579175189744,2698480780604291088,3769191682350083892,2177812995292734350,3170028116333265408,14840092117872960,237452092282754560,2671455500541590400,3953115334329198048,5833270325577521376,7300214166272989698,190097951018578164,1821637014802078128,979898517422999820,3878200369875044856,6260197227375464176,3570537362980479504,50142006482411424,752163732718684440,2367956141393997006,3899876132729782656,1112432740052702096,1217935435276108020,145550015534624736,2323938454896165020,6163175818015046208,8127741041608557132,904263022382357808,975971695269585672,1209925546122936852,138183567355576104,690948734998606920,1926007793018053488,2129646106694959992,1445334701080291902,3688405264612502028,399521446161598976,29978270447126256,149898055477023720,2030420821072152616,594227212969754100,984882557683169040,8804500197964338186,5151826502879069484,4574141142847906224,1169057833401605456,4433933041680713850,6537198514581800604,1650796687102977936,1117430024093062512,5440228038998073702,558724246214674848,931248721447376640,3459005882800039836,6070321268926730494,5145413549868740988,811089380903630472,346660673260053504,3466761762722369760,3643279000043172960,2722132334820554688,2978939183123647548,2287736486828921568,4373921990967817260,1615647430998827424,1240486552154042496,2314438909684113588,879516875198344782,5976110633359452096,2977477716358410960,3964531122470758920,2928033948215998746,4121951451268342580,901990765130789664,111136517609969448,277853719436169140,3962465040834956880,5840304300272527848,3978591849265144870,82598842151473284,590018114864833200,1681044296179592952,7871038222943220426,798827948943492708,41120136671752512,2878538293504248480,1106141868657139776,2334997836944770524,5465911232698132968,1505734610705591904,5435256832804653264,4159356020545841640,737447253142639104,3529413337798923740,305864226796653774,25664625408045558,256657731694089080,2314630033301057472,2449575369309663450,1063833771010732060,278922737515686912,800961867926736696,224240810329953248,1681881290559185040,6516830520992819904,765674366915394816,2759562209639411154,497589496333144212,3493321642402040064,107569776514642200,1434327829564212000,3991750679879931090,52767751878954384,2374655028477498720,649077015824871308,1566461397163951764,742380576263865360,969798159052660256,869402654900800344,2937797606853635328,2277244652200388856,1620646524547060608,712805271575942460,861001100194304172,324325008868894896,1030427375713940976,3513414599510433696,7912745566070949450,3316649272616018592,1970804872957453632,1491828431202749970,6949114139004106272,4837902531307712480,3578338462491035220,749412042442295112,6145341587262171266,7320889469338088616,1514783660582749248,2061980035374709458,3593030643266777856,78410880237701088,1568287738567556160,1928855278881577428,2040388395159509442,6599568386373622912,2525424045685589376,5696294958861179652,1511897360525040168,3418370425508473680,4295286371300229120,2479792107677293376,1991101364297458812,219503319474478248,1414782342742815424,224794329131293344,843016434018509880,3267573782674050624,587385566566400016,3845227213320852744,3855017551907743236,888771552608959776,3652727759552822016,4049290257538311352,6401450617982901360,78510152933536896,2355409922316525360,2492242213281784464,248080749540642564,973122889122251344,876939666593519616,1583294617416890208,935641078269893026,1522468668577136544,1628274789780411816,810846046444192660,1872821716710807294,2320256762668431072,1166036992770227296,7580906620318032750,442252963921004652,2159361463540498560,1311529832515585728,571124285492666364,3440215357280938368,617784828820008672,1714528418758543872,6349946685199031586,179045228059778772,7162129414786101120,5808832032130701792,698379037044300882,4974372117945519840,4824724858113922580,5987117437690330296,1325236694210959728,2544720205149128272,371517369310114368,5039454414884281644,629765446605641766,510941136311708040,186571284594526944,1166122678092842400,1339831558515324432,2828056402122389904,2694364771267828760,3158568992867814240,4758820776585454170,4750147614359092374,566716681300197240,4178464904936874240,2919020219008358272,4561512595861330158,1043764612619491968,2008079695163132460,465670951573668816,2639244330957043488,1807433197312699704,57700873211614848,577034537303671920,1772781656474696536,868303553246341344,1030597671430935936,2183552861491383310,3318876308281111236,5510147180090094816,6227550214159021216,7190009555462249472,2968227621227815056,3583257467647105536,1918648356896453424,1188291439797876804,1883526299957000620,3341780827926397728,531261762938268192,6937430541533916606,4951834423592717682,218569391159680008,5828777762625151040,1989138942887243994,6728436604198159104,815531421312612928,152164833969630144,5326007369879698320,1210441975288764084,392316603910083072,1471253059617913440,2705232659081343576,57378865483149330,344288589604537320,1028178911586490048,2808304157610645228,677169160564980732,766405241516882384,5260488611824139616,4558227611392556352,4156261004617978620,4603739262349095840,592475788598379768,4869037346552515730,4363835264315919036,2379205088013070944,1282020938159626592,804231550975793688,125131154627619072,156420938477938560,2251062867307071552,4340817495196555590,191825950730267784,5500183783624748496,608591142793638384,3638658155670548626,189403584651995670,892293357123058284,8175209697853677072,400327941761317476,3336215377818263100,2642762495275574912,3569365823626131984,1877457689014528980,2579083364863502322,5424100262375575392,6136364258775281664,5238968706854192464,535082862507646056,339243051025260360,2697469727896289388,5078019732153350364,3993741006054231348,1282533795162633312,529894605941727552,644323573956953196,3847059154397452572,2110453735730515968,4428537062405042664,2479075053541680672,452039124611757870,6328830770988790680,45180306017106768,1204862042084404320,3521751118358825898,47657134596042360,953185318507429200,4098787419779680278,4197936105134002950,2220914228093578512,4842382330867306008,1795776999266675216,2856343052404984896,1962386889349657536,5353449170415593136,8051085799732972296,917442692504897184,568995956835302064,418887709748743296,696886770356136624,6646853415402345222,1077359197339190808,2899109325193897860,1558053426699701820,1526139029584536276,2412704427092154384,15762324017655296,78815144701299840,6305493557705164800,3412407418512964992,995527132044784848,8647743399729575328,3422304166547937276,5459190954167369760,2393965753582128192,4746193949754904530,2715275640296816172,3045515325394319136,159799147699519260,1065375294800538600,2126921557577179230,171494431297358428,980012004848057280,881124967890104424,386487926997637696,1700833690756908768,3721294971763252032,2527814093652603904,289738360966938876,2662190387416236024,833539673489046144,589169528740333248,2806779891435874164,1236837575580401696,229150073056516956,5347074157737815580,2405635487105251864,4936342514712061500,823961361392266104,783679932394332048,4768673583311402790,1462183096168682496,5109545547582053136,3295522294184355816,4796183252314273512,4086655804768542440,381289406756715072,2386385673559623126,2559332481133549088,2177232816454393824,3054380368737980220,145497705040798576,2910084238462676160,1162867307175122460,2194315442588150336,580970287829866770,1245760370707009104,2203810434627506496,3823679883729455520,5279285096165158092,994011084327585052,2832862792394585736,3075323664610733568,4122819248170372790,1543573859465441376,4614380148659684040,1012017556179366792,2040011199743720202,4556793269970752976,2734956838523710540,3920803051897884600,986555187806370516,803058192817274526,3314523786232584960,4107929150743617528,7497839658646283130,273922219243850964,3624543918463719240,198571031512379312,8806419660614615226,5753363914140433296,1262155614377998104,790029297506030328,1855716790792396356,1900792414171431414,290787887361777408,1938672611415889920,624780189189922686,1210800035299510656,12865378950068640,102927634424232640,2315975342673992400,3903433568993521836,536888553823413900,1316823058789668480,1608706270493513604,665148756119904776,2412278925942749376,4950727588964531700,4140067571282336430,643408958836179972,1153739843968248504,1368229170150419720,1439602437691221744,975031217545119126,1922420439766847040,5736063862214849268,757093465539388152,2026108985080604688,3608001477819997776,332973040584690000,809673585309868304,23390906042754558,33417074427590160,1002557065810525200,2521705893987571632,501379494176361096,1222417576670610220,853623379241535744,231861668470544376,1802442410039158056,7886411686745357568,1550466456226124952,4813442379540876774,4923783956595527424,394844998260363552,2761032509228639232,118599833429726346,1581401830127451120,2774978076834055656,983209170552781032,2516408160975879672,1398670010360152464,1870403604033384432,616789481714910504,6168170646942502380,733034628235505304,2350846363481982432,3553378369699929792,872489803633177650,3224055752670407220,3489939425838085272,847433959588443312,3538416389076394452,3604114442757085768,4642025113919722320,1531914105716426016,904602401094475654,6741421095360084756,2147344517465345424,948132753445160280,644570035153626870,1671575492762177004,4588738465428536832,1146788179640993736,2722041415155079800,5184986117365116216,663319408745954856,2557137276033612192,5736880033635362136,216404206271211648,284243183824305312,4263838426404739440,58043659176771084,1741387646074965480,5280381405971969616,4978061290962869088,131498713891298952,657522972284194440,1775555297756037504,3596528554293797472,484941201193685100,6466171833479844000,5011085764435283460,7346007191727360128,468862009866616572,5470301399365280940,2198819905136440344,741854868417527436,3145202587615086936,2229377558759664760,2056507687349944560,261461301295469184,5229459872848149120,929646264292327368,4200434939470877184,8461728624535247340,585356147774464572,4512257618619449760,8340446561435813088,1410228153655080768,3327746332802366988,968872570228522420,3973769448974967120,6883060624286377824,1007669819225577368,5929232839657414272,3843795057405789780,4793234411956277056,5569023146128821900,1170119668248779094,5270844919111969024,4093336403578123392,104706140162158980,4188432899449168800,1536984318574329660,2084374738928419344,2609051481655313832,3552847140002384448,7701942795504649560,4070574010481704776,3759804599649707136,1293395950535567952,2709666061572206632,3323607096945753888,1412360907036971388,9038253708001493262,3684244114667346624,709776625144011552,6210823195216242820,1527129815259175248,3239498086039695096,991661527140108000,2378156348765935062,5533131024480494952,323804729065075440,1295276836040984160,785384722590013368,884972470161127278,6636777149940047928,2480363920218279384,2910906264718465024,356051141377196436,6128530537347153408,560805254908095388,4828542874825735350,586524373330048380,5423112821720485248,5537754957542116608,693936857860451562,3965530795181916080,5478082286667408264,5787526924327768224,395020852692574086,2416216254963782832,2972335715298451008,2323499165800383816,641014400919529518,320733360329401056,162492221900105552,1219909116595920456,83736543447236952,651313350553265680,2791467752476708800,336623084817530112,2671693581553675272,4701251779774858944,4000185165229321800,6250325137664554044,5640907660918478844,3801358697761752984,1091892603414730356,1186098720646132944,6820848416257796880,802068119408950504,8670202003681996896,2460436687788935460,857844521617594756,2711805749938114128,2281330276710208080,4491635119634858688,926953124591941992,879140245965756642,1919087987435471168,1833533916340002240,4949638340372108592,359991644053643552,900019354181867040,5220600042570300288,1141059178060484384,3117682729437006150,547816896110218752,1412438745117946096,481637013585922578,4501480117470823656,2704738427207173532,2442173848796338272,64573486845723468,287006108145921120,1435094709932534400,520128251684709084,1155892244094392920,5559820241766057360,6784981396525490688,690581984162305664,1205429286007023822,2900658882153831282,1544138871927598848,183759709098226860,4900478028939266400,87991236226943312,659963781235207440,991026779853077568,4440354857574096482,238682259898752144,1055549523787306128,1863600061476375216,588685503484995156,7188633212989028130,5182050664854600888,3959993602210833792,7031698014157201536,3235746345019698960,364359271052867616,5309169209513337348,6474932106814899440,8709701154696750114,3605739069697722972,485033193194908160,606318601969413300,7778758965792123120,4475773158791087296,4027192331232313440,4803896564794237620,3098070336273449222,2817697392530870976,1867168971837626976,3563798010443558856,5081971180375092420,2891451053410170048,470500559285949852,1649045796962620914,403220386661263710,4879703341059135340,1770307725065468688,806761547028769410,4676589994506764830,1095765579453104496,807315327765449196,4699496044981487490,454422925904478444,467716439261588352,1501188071953230640,8675730855362459988,1398871371390936138,3514007143956412992,759906034710211260,463232877329412858,554543707618431244,2687801160412559880,1606048050381950208,3825580875878377576,1549024745906267784,7322013226108980072,7980262871425330464,3987099436112137710,7519642899779078154,196265207802283752,8485072528992747624,1737984321409438662,1771421341699868544,348388078713530112,847254517588423944,1090136673433558828,4834620665447727186,541349031911314440,5996055432155819904,2161578225957514896,906409344404029770,8825292238668505632,4974448725530068896,760453905306657024,8555488961528036160,1924675213678111224,291767295991893744,2629032815987390268,1792898566889515272,6626593245132203616,2512679086526044716,6751495746740393352,2487049671957498522,1470229905396377412,7351101882809224704,4082371785728134728,8128977228973340048,1942002608173321584,3116170161386676072,174924460793256460,6122629874423052900,4608443751246642816,653740342401606280,408935408827504368,24598229517521352,105425697274571520,2460042925877275200,1798303648833177336,1636825620878698448,26552785129339680,106215889453217280,4779928736864078400,1615308253334249520,997308733283202408,5431091775561641812,3629950197756985692,1879835548372014300,1204207252842275592,6894695375444806776,1950857423534107638,3327555041954495784,2522405306058568128,1033957433205008928,4205793392754531708,875451556765481664,1725553807994497824,3197740623832503200,781280400814757424,5032615833121332924,1915218045650820000,4184901585272376144,1677420157327936008,1025964796982282520,31795859796575880,127189125709892160,5087792499286793600,444430528384320648,1409791603264616448,6653326792003566012,231177318019832538,2124592347255013056,1218930368511173296,978710623764706800,2311789554067323528,3978366383928280380,2943762625234161216,2438362152126068688,2891809951653177978,2568852171915210612,1498876563505171008,6800565396719352768,2182952064424525044,47541379179974394,950870095433660480,1318791089922273792,451224372068877276,3335294107216626688,515110563114675024,3679525669794009600,1721115064465888122,7106952189532741008,2073566235675598416,767247743305648968,4027144612137699888,4685785053838884180,306659232360302888,2036093679704484576,4964567047318378860,5677455874585615216,5701589809724035584,847062149083664292,4647156754479974928,573294751824056166,4269259534271085900,4878380979406127600,2672081172906760770,440808907265047860,1390074400193284224,519705162711189588,72599856973118910,4356186170831627400,341742240268684272,3417575192232459840,1716794528541777720,1074734020702909206,506971505251960848,2906733518229893208,3694509256287092496,516945788598813852,128139689001215940,2562908358992515200,1018545145311789216,5376947560689832944,2840068428394515840,1104537661717935720,394583973112486430,1737735654951217284,1931884100613174816,6540253979402075328,258893885370015414,1726036400210669640,846009036955707904,757615014274354272,1420265938037888988,2520397399642944704,578007232372223904,6502872080514667680,84383765465535492,1265813071087548780,1028842933136160384,817961363363635372,1137314317839679152,1185769146789152154,6986021138066614432,3123491939663272992,365569460472506550,1462343216432391800,1002289334484405888,678576710686314924,1459365619267859856,31266734934217332,2501450622289568640,184903515308509696,1386838363393479420,514997674824011616,59891966643314080,1347629495015608200,2821766488732263708,1783248565013773476,3233101004427499920,4460895346300389960,2814443814786949488,4361072888751102540,4529000234253983616,922606994340034896,2012868027702101376,2450466633747753918,975401820754877436,2528297519577194160,946061879273548716,845679989325791576,58731100444002528,587337260761136160,6608404946480454810,295127214114464676,1343209622752345428,1096559257520708688,571188693745542594,571625425231348530,1151526250055151840,2467648609863994320,3084572977278308010,8222275864059797296,3069916429609347516,3912398643667192704,3153645172634015964,341863907612667390,555400995746819640,493731401108454888,822922455688055340,1408204064776992,10562002638804960,140832997497561600,3168884101909176000,2607736348257006252,461763094660343808,753170093433644184,2263626128626386780,3290901387370319616,9239432817567414708,9040143681101354256,6260832652675748688,4353591071781693882,88351424722453376,883553744079934080,2104102115073310968,8524911675750956532,830455112352563088,120850703558646432,172651580095788080,1394035667592698412,7134865926399334656,720312779952807876,8201363257680260544,8858960769753163674,575482082296358244,5452392672948640320,1817996077245860580,5955876040390487148,1075436224488448128,1885919255582557176,530946350735596420,127250313291697512,1908840026819461680,272649532942766856,908872404061560180,3386543569673214048,1790995919147077632,1068222785591175696,3750004558957042170,1434360224163201010,4846586745435059808,5183330313799802016,3547764102870749556,850095354406305042,1788656550282675696,493792917599692568,7333881303636006048,1866137680049891292,105818132710408152,3174685890484105440,1090922002181646960,997993462945563414,1401050368019843424,1364530095804996240,3334038437162812660,2885849271192607704,2739384067746953088,2643252192943128832,1260588017029202532,611815155000953472,3059212520517219840,3850230936236970204,152001315091189812,3907831299248501712,4550485702772050704,2538346666093771176,531150019318756414,458413071910794990,1985116412178468096,2506491826453003752,499730142720356760,1999009924474454880,4244045164146708072,6169410118218912768,1113921199341246816,3272612286120079920,994342747726604664,653640285018606012,2743443194454802752,332436536785446678,1818838260527926176,626353102550983008,45959231729431512,1149032152902857400,1165125155676046560,1060480653029468832,1757980544591947428,4179898327882002300,3081099213692810496,946959502289839104,4828938359019873248,6103804684455386370,2282941601872935120,3907272563057653344,628432263453363192,200971374251403756,1722688779005182560,1609867873896298272,4085888062341336690,8453668967932608558,467988801913306080,1872038882339321040,239975136555462088,2399858631946313040,5827095828985432260,451753143621893376,5082450034869565560,479253660297750390,3948201851605806816,3404498000792846184,2726518100790787128,4909539603505715904,4839390994329158100,2244129581511653616,1277027005290820316,1451230712729916672,4680422950895697888,1124774343984504952,3627327756928215600,1192835300520874572,6115156367132230124,3234611231513379648,4353969578221869408,700469950831969336,798499806328259376,2976398906218237872,1198505680953494556,3852164954253632472,1597045212815621580,722265561118182464,1805744610990009240,4507120004574973104,1343406151636618880,1851787216078059744,4992468525169724250,1342071598064328252,500815342722865968,3473188730430928128,805659288950697984,8308249635521443482,2851591720566144816,1133309040743052312,7683133255420760982,1783707037604231124,2387895027209827960,3172214066918474880,264185972280887976,2284049348850553584,5488918859057100096,1185272072657482824,5988138569794050800,1414995934620204396,574007276967670752,7187793774374662272,5153030690144602734,775810861943651226,579611393657116864,5796372996564680640,6179030479045200024,6821501246934185798,3365410715701973088,499423709778815616,3121537697405348600,130067589575107620,520293611779902720,528952100809280888,215890512407766900,172368218754053112,3878458260829697160,817925388096933120,2397504658441115736,4055296340530381850,854472496738498776,2012905172195067456,442777823496318092,2246868721089005568,6615539840504709864,185647816949761232,928280571502563780,6912518244784534536,3796572920616421232,1909046315464987680,2497655687143632768,10758709975370782,753143357478875160,309794508017978112,774520884537179160,1521541565659593828,1039122886211353944,2109677173693737528,2423170644654670812,3704940559243017576,8660035214321265576,568334839212203472,5365366301967499464,3209647105622533584,2696938447027223232,2751209342774384736,4558797337067890588,856519176720538188,2337943955526829944,4748409452590295184,516541403718938700,7748467337119306500,2743208386615768032,5830828500223783728,3370776126997417578,5676161519509105626,540892984744471968,6954649177691917440,2294582446109564490,3484597894900851936,807844564498380288,3924640142466489456,3253224856220617698,3945071368937136288,5437852464859915744,1990466877340491264,7391652149661837084,8474155507414273338,464449742715878472,3317646424612020600,401832787072766308,7211918859796340976,702883063561703928,3972761737551304720,3359311764058907730,4353966968876319672,1362010113066446592,574647913801579176,550081223871180810,1216684420889428760,3851997201583622784,2476716410142751824,5383972853997674816,985775195996557128,3082630391860750848,2146637612181733180,269313497528500392,1227514464264412584,3957329092088091712,2675935044571638360,610667980211828040,3407622758594172118,3541622321469877920,4216969681140494520,796050093517843528,777155257072595664,3885949936970350560,706769593180569408,3305800270410664176,6069088101247747524,3762097495256977560,1692130648440066156,2692360210058139456,1708856965934852874,3242293604922930624,3847617696575255232,5177664551311009248,913189676724315504,1209754218700919808,2926726111538546004,2721776474209423554,2297494524124898766,2605947532863582404,4800600854107994496,3979987804521583650,3364876741765109230,3384289775464949568,6033061192915130256,456558331220347804,801679045380254784,5308343406800559144,4135953975952155776,8037338419419512832,3371571062022847230,4451631431605535232,7023721731602861808,1540635185850980274,8723187978122799396,1907772307183677096,109311136714988928,3826060750533028980,2056544741290446960,2922670813722737472,2815125894565303744,4719111297470624808,2286660988278039384,4560900737366868300,7196757937739390592,5275027931129349696,341071962526365748,1136914103041366656,4547340697729123008,2547776565987511158,746280898922630928,332673689289690312,2483981565126654912,4988807897718541050,4166376921182971278,1478594635701591760,94867470384156516,4743585476455005300,103052737910235226,7214013995788544280,4604069652203300280,865617220040835404,1566263254637670120,30294388620706176,340827100944925320,757427401245452400,658007091534120174,2250409001786178576,512609100299819712,3417546704724951120,1385714488082591464,5618086789479000048,8134889209257748032,3891158272582850930,4305201675527401938,3658164372462376656,6155684754432110520,4007952313969388796,1673056048044708576,4206838463260691712,5993568942672733632,371404857139475292,2439784649026664754,5780126786241985716,2850359835862622736,423012736930519944,81280813786790508,948318532220315760,1553378490679226420,5092756499937888360,787997964068075106,1711418377067451228,1933686825403927200,1313995049894015832,1519177564831002380,5697518750699755968,383195707903683888,6706224520532107340,538256340530114598,3748145347737748980,1286786294950093056,1587232037220407076,5607560258106375654,5033864121354391000,5978946478175897436,374056781261441784,4240865474241168458,3334352504562598320,8166722625097464384,6423261251436845392,2853472765654553592,2588417373499916544,1332383354545388320,4594405450351372704,2066268662826133800,1968717278406672912,3916190115707030928,508797824645107116,5854881963825361926,1858226160354989568,1621532159161697496,450491091821179992,805650956926649580,5090528077220534436,854726049853224080,813678220880701164,8137145754655381080,2022313053827096832,3257693634258032088,4229062030953593856,514820615512836776,7711216623939202176,447658139974334784,1021556852394644216,1652633540796197304,3971227836873473568,4089663785887162976,8339869426810361508,895249635192184632,4065854372248839296,575851619124449640,4206147230969304720,123400373433865450,246811773401107200,1873727027032399560,2429029142935170648,6709359990452889840,60109292631882120,961791650588623360,931908760810732836,4556058611407238826,874238701477420592,365853732694434864,517213983502539702,3934138852232387216,2462904149521225176,4815578850909880920,1643546159617010896,3021384837710676222,5802711732736564176,651227032493947456,2903018619937519890,2273518660581541080,1783598419917240080,1342436314397205120,1179089934903040776,656859992342937150,1127955363759770112,5794287354248760384,1911432952267727912,755825669338904316,1270566261971989128,194418314853997824,648090001825856640,256424876971660848,641090831953412480,974095255864129344,677551334179494792,2582486175463828536,831140362484754480,1841786554425293232,1794395836416598740,4673771952020980512,1798927982433841320,753626997681190380,979921182417570690,911222725768707558,6503417919690795576,2800612061012795472,945008589286345608,94109543116252614,209141660750034240,3137265057940779600,6100204203715738716,5805782057443879152,1925556568689706848,1113785386312940352,6457354008291066384,5817331362075743664,3904362613837076224,1268292417704849424,67926689016623262,679297234862186220,165417438815974488,4837579879808332608,4795539337054287660,2581642380200391864,1249963919552139264,4102290738800641632,928951498454071884,891272802907489032,1542281492425323072,2824392569164140096,2030559405370131264,2812291298839004536,6575781496141437696,7042482251334028296,4877552759739357776,4230881905011450150,480859297281710784,1803302916708094560,6076300587066559920,485899305323801292,2958489931466521152,543564715957190352,1233746671936801176,3933355813809194944,756323292462333144,5667799881556268928,9397970915676206490,1971443985028309572,2401820626382152272,6804960821822731552,595743333183259992,5957699449202221680,3296271101450826492,504960490314718512,2536302279511439136,364401755638646656,3644180332246487040,1752345361825943280,1052959605442275882,712041027578584308,406221662507305932,5448688089866549088,6027789036053021148,1166136431150971044,5860711674777051712,9148705000457022576,5605743988757693712,4183411396262418624,3972744897123035088,2796441781526286192,7025166364495567596,2277289161328474296,1301263591563041040,648864800817560760,245749054816259778,2474005152892376376,2268320672426090328,3744989007061194432,7846357406026130640,675846821314567364,222423561045726312,358799884973226576,861831196878893964,1919939867584748190,2047577039662139532,4592056030485492096,7136817457377511872,2000895075956907648,791674788051648512,1643688804925833948,1937288523509524350,140890952242669536,1878629936956945920,3395404638278366784,1277759551961776784,283714110049854096,5674535646069070080,774767365166665624,1503406363476351384,1198084087527937668,3621916120235032700,2772923372052707808,4083251929581754560,793053961644898426,556749828844842096,900797946815076300,4478537183037980560,528751986474836592,39138423762349560,978504296339504000,2710093546737055962,603820240682613708,5385408142913663480,1266700159388338704,5132577569902794,307968408601500120,513303605988718800,917021417975644896,5164315282942455808,7370943783879629436,3127710160014434208,5627534902056613464,8507453927467925628,2036801971617822288,694949634721062012,3115903993310718720,959662568893895790,956409214344815754,16290846448699536,407289350914853400,2443845248307628200,763472906853554142,755095691200918284,814938248270959552,7282308036695043792,2656088455538801808,621565812018964032,2993886089709195384,2423078516287097610,1251969710275163064,2953220242078665540,695569053798163008,2185995120392074474,1012418334804155496,5639764073681959848,1979569623956763960,2396680320397554324,4141115198903765610,6257657158215038492,4458255848790636816,2925505672961200704,3920457280841855504,2101343045177527872,5343231689180097696,459350315132515744,370302914676886056,3212994148510504248,528507855820656880,755044941021297300,1109547564795562662,4232412818655499072,10080796536468540,604874804142162600,9073527258624183000,3453989765373869112,950583633993652560,527649831489191724,2102129308563638112,4011741607368996288,4169574101059101856,8873684300503818324,3155715830214512946,2019286819081837032,1368689399469385728,6290271928577972286,532145611312881652,74967520007736720,2249126036260412400,1155803228091497788,2966137494774908580,715660075693107336,1628904708092165152,3725054065871088690,200935748551599864,4018894434223342080,794775039668339616,2734534854113210910,1277553277120380050,2303247384569741004,2205153654398817408,3849355857264820368,564629557261474848,1411636928451996480,2137896635034119304,4682936089227866328,1203205672286334594,5025034654500686328,7764776018007144384,556429458077621406,2390759015893094334,2818628989882255440,1042191645309513900,1499590225285525010,7947723526786891224,3292958782420327296,3874975918990354176,5498110758890305836,1635509444139213660,3847197700758990280,2001547277267355132,3712926822381688440,100319360864239572,836032004345129400,1840647268176739704,2527741798739511510,2030786721842268636,1251608847306248448,8679872724161153220,461200385787082008,565075297646916228,941834216709344040,2841060987673959744,4992527405675129760,3631514491147811056,606314312927673504,2740179064089350664,660704071086124968,1510958751153701544,1599117378760958304,3279734107360179616,7055525410194693222,3813637319555884758,2118199679849688544,2111306070311998824,9186818915574358758,4028174928831635076,2846886862963233408,1897968145271367360,4317529884402545258,1738157942765512260,1697961304123940736,19030204895463944,244684987833588120,2446959131871836400,5389677998679543624,3441412116540093000,2611141285997143680,3926896826385942624,2203787172425469696,4439902863844595952,3123906155429569350,3480000851710097016,433827637207485264,48271150383571936,3379131396678662520,3511437134507357616,4396292259059476160,1538031282401892960,861906229179782958,266637073334909368,2451883108150860516,5424431427148628448,1445748613908907500,6906660974450043264,1311196096076593536,2375395939325234664,4655262275429132268,1986610172750158428,127587574574922044,858771709915400832,97803198225299712,489037824551645440,967603270897133424,247201616638416744,3708189803011170060,8422402787701345278,6062497994586397896,1513322390820781728,3099390510537041190,2671467928910836110,3700817162075058048,4633885791286900740,2320014337161636996,600806394303016092,880264643408833536,1535271773993458560,7572716293574576736,1939148514191166864,273823988635846704,2762939385552711132,3782397034779361152,958153558777986768,125956080240938616,839744690550943680,7259213634780070026,6468135090119539088,5183129826824374656,726586845219916128,8304220382571191040,4900679282683608732,6562769071970528172,5494495104664743936,4588255749295031184,1066994019615896568,4293020484732899568,2333018392191486432,2352807874841529714,1377432359685717776,5929003377685050732,1674047132845611264,2058936498988172188,3630290690566572570,2643694270990515072,612191555050693248,5606079110776582776,6692087196863722176,921200140994803972,6338534885492132448,661747827508303308,944422777032831152,1636913002053810096,1689111521377765056,8381838983749355472,1807109990580030444,4201305668080001472,7970252040087902208,387766060797855294,4801019832408587634,2848040862075802368,1962406785678890688,5847308932385439864,448849844930313904,289729747599631020,3476912176334033280,1420480338277739970,955321378419101832,2595724620577000320,8404341545937012624,4934780777738481984,3865361519424017430,1951642070170907436,1317743519951091264,1405517160419587068,2829659506212342474,8228047817495932416,1871734004809018416,5489529670372054860,3150459235912272660,4881270608404569900,710588141354669888,1422930895010969748,1448363134839560592,5106378996257540064,4217694632077482864,957237716717811342,5251144489128491660,8229890572963729956,1864183799349876816,7095202465283405040,3107714280792417036,2051926366532336256,867615701025582784,605221472669072448,756560610183418320,951244067534016564,7398895220268773760,5866294655220001524,369119302701528852,7017647323492139832,2350731459406651692,1121619104316664534,1608904434632160258,97802969750499780,652048902010594400,431988159033445518,4320074412345974940,1680410698102164160,6564938477472097716,7628153451759462996,6065146928207357556,510426854563617636,4191301890317452320,5500390205918879148,5075939883612069792,9105290480197737720,4133568582603819488,3600012623717469456,4191083530732255608,1946990982546904560,4853352419188739928,3722214376822529448,6297275107724173104,1784363974970033952,2696224035111932808,4552705073348285658,705604820012087688,1008051876591392160,1900321096645263744,1444621474455754716,2183819950234363008,857319920646626360,314571816240967512,3537590957579415618,7051497787740552948,361766133441133356,829433025931221264,3776403915007831192,2697155749748442996,896319846880823808,210228362986077392,4137748292554586856,6596459757063007326,2764537679837713872,2683479264866128896,1801267557244794648,7793002191820676292,680799506043532608,265769636745488976,3322268728441680900,2111556660274709172,1675556377916313024,6156444894509455056,4512109436965866582,313175378712674232,1739940865425878400,548140743267695784,1206839069468899584,2072129774406768150,4451540838140594592,4696943003363810304,296853763164710164,3323146465834969488,5777175246588261096,1540431358435045032,875625667675079304,101793387157412976,3562927552247982240,4879269576809355456,2590195003083928584,179507331157313784,5385460267489340160,3185086459137621900,2046248157528352140,2424272818326576408,6418278925902841140,3570401970695424320,2892709282459890384,813864228221123964,1301468645960192592,355316211518202432,5329981023229887840,1947168861022176288,71188549910653944,2847669072643950720,2447386985818839358,858484235725710066,1442943646525517184,4763661988478766384,3137241509544088002,1606883954215656096,5630211257009980584,4926682713102219648,6466979908039829202,1526075775112261936,1233896930521340184,1201971579682412016,6910701962334786176,146959071672046944,734828148451323840,6468514487248795856,3373586107141215960,644728011949150632,99773153429251968,997776057240021960,301556976920968464,376963041972393140,1669581409446105804,209828230222303440,4108759366175066792,5050013930523889296,6694734347496551160,6955878906638078536,2065122745908364422,3229827079127792544,4022322802578864532,1944140822685273000,673749501955967118,2772877230003265056,1875567626432356032,2413681691397448752,3261875225972337828,77663047763364750,3106660529173860000,2109398076012307968,492962983805882496,2567415772847123424,4234367352987774880,5625234115004689416,4792012460963695944,2890269683210315076,3698649221998405752,2984629112748124992,1789218113988030996,7536598762000728744,6938923762282023168,659557911855632664,6595873413659114760,5897583302167449984,8254333671169156164,1771621492014290592,1084170084698172780,400886858162966910,4009047454528628400,2178988650997826040,3717767986049410506,8209525999534171578,538071357974571528,15694782439557240,470864481533640900,1985883076060441272,6049327903508610144,564631102211911152,2706796414668337392,1963551147178468728,473133332030238036,3154362947507329920,6745026032760967168,9431426100178328688,4088115011864556360,5289677752734402848,1533115168392193056,1259630103654501732,6507065206013546020,5645421412661104512,3683374640297552808,6157297633957429680,716931360655066368,1436797305689962248,1479922495935496976,955309298607301548,3841165600443150528,9087581202384529152,3436152110055824688,2144980016767238508,1056271925849542152,7149219803303722848,2048370363656031528,1143815774045690292,7487169763899344652,5581482359853319752,2708833949957551668,648605019292577532,63278982662612640,1012508892709489280,954339936764297490,833892481450442574,7333680130250733468,1872353472731270784,7797371535078619050,445323759669040028,3181025906867781600,3946136585614618320,188907195620041446,1627799998746866076,4897869369423247008,5966791734721681600,3019264536224983608,385630978090704006,4409954558819868128,8302461470116475220,3103161035486443260,2485196093880858030,4527241755769560168,31174745836270752,311761365827275320,4347399274437454326,4217113050592582272,8711230434743412864,3215306320686017712,3101849750895803766,3276562301975377580,483484721262518880,8703113213609094960,9547461632258284176,1844775453183932064,5524132118673887928,6807583258674825690,88387098095778174,294636803326520760,7141421355668570304,2795811962032373886,3057579237754194552,754262978801845016,7833639914414892,69635461002486240,87048209174397400,1741041845147352000,633436061272655424,6334643176858045280,3906167617747796976,290250236950493184,2580117194329496320,6426199607696196408,8129768789476680336,3741140034793254816,367542863664604896,2218151690995780290,635130249096888380,1157401781627500368,5109744553649524008,1948059808271414036,42684075372760374,2134298967549583800,1035816790213846504,3296413284556149210,1012805557866100032,564786056949612048,4024273448645306820,4028984254595182608,6522051842011129788,6232681738749926592,244907088229733952,1465001759439049440,1547716528100535672,574876118043879048,7542945404042663196,4167242669631797010,6292357392957033744,1268593871450378384,3044319157364446368,3977202084168962574,736536763427212748,9470180772263053440,6522573959179687776,1808734784367702558,3814853627914020900,5787338834130034680,3046510858657825056,445753336517224302,852609412733047992,1710616466082740920,737495314612128912,6118147966805243952,188649973078148052,7546335489597084480,3199075052529863808,1773329979789503688,930815524020607968,589613332721639856,1684684657830984560,2603217734148148794,83794942597607736,3770940596689273680,3805504959414888576,4385745848639737620,537840582158047968,2384418829686978024,4409316952491372912,1740510931713427176,2013047467361644050,786518591048478612,2446152785258982976,6284581954014555576,1351478254567055616,692562065049293120,1525132149188513220,7119880303207022976,1291003487266645360,3372112972409439168,8768453886384570576,156462084571464528,1760276953256151060,1750907547410257008,110568783470872584,25144032465154698,2011612306554834720,1766242626978553560,2033007949773753624,5199983654796707952,5663248854979270488,2376332001961379136,1774732165231279860,2760178575405064698,1809896056952955312,401282871234689664,4617825978847675392,642595068213637110,1224166111715522844,3836399429331309792,8468069966428122936,6826237414225919208,45473804963015466,606344438457383520,3475356742020239424,108961938409488312,1452890634162665280,4407242894210771136,1711040352397257728,1966662724466518092,195131021726717964,6829890320733952920,162930243972143232,1629375096796368480,954818202530117798,2676869596316475792,266592593575767792,2508861596762739460,4135253567634405216,1197000113424894504,4460011400534658864,939708095166550344,2215438789188383424,6233992642888793888,985232935732648896,2683327199967217764,4082331829215140140,2933477200733943060,2723280852226017600,416283998119184024,998749070837155638,242627924804980536,782000519539774656,1322902385043454764,546306280699592784,2341417032761021760,1118486359256673240,283475869197064128,1417442547575936960,1176677394849470976,2337080487851183100,2388327300437776852,324037061598746316,2147463984245438736,7245979248888999584,5404202352277891758,1761763789505933190,909767638173698960,1287051340986979056,5307498908576748690,861903344360644982,6197827351190041368,5181617175401084616,1014706499577900990,1176629857928335206,2011080763140006672,532755066095501824,3329867627783313600,1087337185852098468,3284703609473455876,1423162786036981248,1526406926762123010,884330470259506192,1519508099984453568,2416044669672417552,3090535071452909350,3035320027940989080,3243988219946487408,3157132468661896248,1524820373073636084,252526220366351088,2525374794349719040,8885453741352064008,767140982369729982,88596137955816304,553750550182367400,90254810913804096,1353882523699716360,432022128943540740,2592248342829187680,8359608565939680608,2048755803440220378,317828187356441976,5038863514566979240,1239247683019360608,7419303248201431488,590777689274063392,4324007553226514640,1387192358403247608,1972022534336616384,1937916779837815548,7220133299973906900,543086993625785504,6195090949335990,165209790437920800,619564334491908000,8814166959066278436,139496079676067898,1395022986661926020,4534394718644750340,3040058472175573632,1624956977841192726,5358920681981335020,3766707986604981504,6538083716114333496,2986074878577166992,6628207640386841628,6219134302668084864,674057172764112192,1795901647032143694,3874098387755056790,708874001466616440,5063611449373659000,693345712285033812,1857635330158914426,5863538553756562728,2155227088787233824,5963220523574060004,467886235354583958,472621646848477328,3401627959478014488,2073033411755609688,3335833446969545616,1458235542858368136,4605821032949111808,260777636272745704,651973152860042580,6496440985875368880,5201702101200987580,615887775262080222,4326858777659831460,3429254331074674320,2993594355202770864,441856555305289614,3156258940982999700,1747155906204482880,99080682756228936,660567329234674960,312117090904421616,2340982528272926640,2550204937039491776,4675601530520343450,4523049280216057836,6123754297265618640,3297481871252753376,857048249344620834,5713320127147464588,3260857052760941472,3199093798897648368,4889836629745287660,3214603053405895032,7345902051817346688,1893742646872355552,3037583539886214528,1592552426534983962,5720920633304915472,4121942986213042560,5596853225626901898,3096810260378233000,357931108040303448,936897386739691212,7287304473543016580,5476596598214598186,3196822899222549900,3790696232859595360,6864874465208645556,10156609879993032,25392656440798720,2285440940540941200,2163022673853171096,2019422697226144644,582484807749042792,7766810261175939840,8922947549276359368,107195652767589102,3216012915589799760,8208127495684955844,1204460851057624764,5962038152921191536,3652004111281143232,2461140782237804544,6654825811632526416,4816169179756657954,339503518299967104,996146604154222752,1394706941800086582,2756541246924276324,698898514554514152,297862706511437056,797828430094402716,5024439406818801018,3173565529887293120,5366138636020283640,218682142009470612,49513086005577804,275084959293130800,1650583314357998400,431251545887847270,3354328175568822900,3426430547037874176,8081822826328166432,1983012673110473802,3904837192482566112,6315723890527480200,4235528772889473312,1024136038737331056,5290178163756274712,8077515026280340608,1923871836900243132,2262538694618561184,199165243761046650,900205839768909564,539575150086394016,2058922755571876752,5465677708573882464,831746848335023280,2287156932739533456,777032687036393370,3658253136015622752,3945665774295342420,1982965188658837248,1473865870174188440,6873498013024968588,2169690116922681888,4077692280939141968,1458944009819825688,2965815067420749456,3013446381899347436,3084082538956889976,3143223705756170694,724079655364908552,914756697092408832,458455730100794244,2037671820352291760,5066515018715228064,4773866613644151576,1845207083873015968,4054734751204670148,134063809788618816,743399081523637704,876641015085902928,5153930857850785836,2414462867291265468,2778422471406737316,3449634169137172920,2042601151693334208,873387839035045614,926788258750264416,1354138231383618252,421362900675970956,933514900305639894,8324006733825745392,2004229164292227072,3182378355901297080,896896045851511910,1979454860222358096,24079316525434416,361205841689486760,110249334869676354,78029544002690412,780330207880735920,6069505377920707800,8103816496335581136,850843529684757408,648038980802387616,3029560749826204950,1255310378666895030,1611038108602925760,5167986344162027040,2435965468660161910,3461590405535189004,1135038682277885952,202914773630824420,4673415399141589470,2952082889401594620,1293497460601044540,7194223259827489704,1275505083470466702,3869905064157466328,1832824166730424128,1621429055524892736,3075669778514409208,196469446145087376,736793248422682440,265903669825302976,4219869059222611284,1540977374762587680,3566464242488614208,771317407317155760,1789471798144217352,831071110912961148,7387627885537822080,4239812508922501632,2302926118702207432,29719668553784946,33023325130371840,1320991854895028800,46345855367733354,154493067116699820,2245879079459573340,976214307474714528,3254192662020985080,1968121561896578908,8583155263552991616,7783306418903114628,1951374165202934692,7903854154104692256,57316559619797136,1289680043724005040,673459382330388876,626915852493029232,7053117537313622880,647747551078626768,3660535711658665098,4216724582514611860,6060716458552431648,2988929079476727552,838944206321614326,8389815796740956940,2740145594924548320,1093138029816574192,9538052343951493314,725784597021030294,6085744140479628816,1259793196196196816,702691083666221958,1777474835607865536,385836091029045888,2204875878078253440,51978948951438180,2339156898592586100,2022025835592826440,3007697670954069952,5608026077844071664,1133715788245219968,1628272184010367320,4269843303738983784,1061282016975147792,2747189626116718728,1126446939739130112,3230566907528081688,2014179983359503804,295595641911189564,3378386387820695040,6503723812180139468,3548132595331702308,5412040706584831488,352672846763041552,665224564054514784,251756599189858752,3776517197373698880,6421206489476996160,2365778347341871644,506672493080862012,2533475307056003820,3021476234285533104,8661324126978004896,1669707466184116416,1315913576447032596,4344315308510560000,4860118756466437860,929836017474826572,2537741674419641640,2719602528084066624,1847720609423789472,6678449737544175346,4489650357338505672,1776391759977380832,355115025440591808,3551308421888525760,84307500020705904,3372450201250113280,5886011373185583936,6850721876379630696,4061231282192668752,2319057703376096688,377668194213116208,3823497605478328304,3427545322793031444,4584118493122290036,4861874571378454784,693686093442237048,844686469246696890,2358066572849507296,3164210948201681760,2621405201333812296,2106824697112717980,4434116012450268228,7504659748244515320,2549214973929597144,2615846393945627550,4070447369641268352,1092876521305527696,4251759778078120704,5478326168732839152,1633970291078861120,4267796198250218112,6879669442170729966,3121254578100611472,2989230132892943952,2316854722428018528,2306613019627367440,2045008138385744136,211527316156094424,1014406659428768408,235430745093793242,1066063358262512736,421907677142080976,8242147384627009068,697404761878458888,1283900491262305098,5863370262755731872,2885684878275638784,2424484753283815376,2771131672759663350,35009435945044440,2450769648958191400,589381979226239754,7767421010146857006,8270798136238674324,2633550850948329648,2284997900163700410,1465425971259334236,1052861941649553408,6854219172438935616,5125321300214246196,4969822644092890188,4550274296620003296,354812543496903200,3359773312270525890,957861371572189992,3193013415465501120,2891373185551476816,2457818101980135936,1897969489970316510,814438862356837740,1281110076184642344,962817824355444838,2422728612609578676,2859008276648059008,265738346913687004,451949505116160888,758767062576412008,8672009697619738880,6399285373919210304,955388154861395172,6851079292063617996,7705004229729548544,806724808509377472,2417968384011554962,144739891861693794,2409372629447711508,925154695834999896,655028661615965982,6480668620720401948,4352106192487292960,980009532131063868,2916105820604479404,7135168378971745216,90074998299711744,4503950442509875200,1425864884646413696,3393013564993691430,652751588365502976,1056091169564562856,2594610535302445716,8289507916087921782,1135639316398595304,1893299847265129248,1584265509406912860,2880810430285954188,3845639432855242560,3197476507374364248,2158780090715633958,3989077483868890896,1413614543426408160,4638206121125708768,8828623974007512720,4379689461329736264,7055437155553844904,824463121890820392,1347122569638885270,3878263918247054976,2143423916721390480,2917111244088934152,5307768835437180024,54182272243813056,609577699902635520,3386693545364696000,857257660967626728,1618208911252108890,7182660197703565456,941558849315382672,7424038481379530304,437409927899082624,2116004272847403408,1893521544577614468,5490619544391568090,525217671140758290,3151446316307468280,4987785341215059768,122407192886242770,952098327689079900,1271883210077787120,2657059628490223488,22223335605280884,74081083047161240,3333797139480829200,3089378678783287296,4348287490408592432,6065551610161583832,922430420385672816,431184971847977996,4965457125981417210,7562998656084616668,6776220436393442976,2901604516090687392,1845755106952027968,1859927613556775130,2667893486925528960,30061472940067728,300628110983560240,5550263821218291084,1453088421842438304,4257496777148167968,3182876890233822936,835386181433485752,172911106193390192,7781346133111951560,6276132278544712122,545342398798653020,5453666732524431600,3770175104280923616,3404643716821118952,413705711801914290,1086719031821456832,4016148773016466944,3542474532582407664,733288582438782660,3094313199003342396,346012136803462752,274372085461098924,914614326231715720,1136759652296936448,2192179136950724796,3664146098773789024,1783374515262646272,6051508435771292736,8248252823513554896,901217410871180472,787911236290861596,1099224202467733632,792229803942009132,117595048824035070,1176002827771477900,1218029141987986824,244989733060661424,1165176352510578360,566933259211610940,25332760108465848,506677751983137360,1580678510167594140,5664199337417164392,570499620858225552,1288763193999829440,502145396394092298,2343835466035657904,2204681171064981840,4658139957866354640,1776291329946442496,4417666413402792,397607672055702240,2650835784147302400,2180861536642235364,3683488690710097608,3007262940835731696,66410736929324460,1062619079781471840,656432812484880222,7550447453297885556,1600492966258667184,470259617107892236,1055709012492017856,1469482404594374688,3958142710114333072,1016855436015650844,1617776418168660114,687642848162305396,649917370507914432,4225689400564178712,5162952468190352058,558145991417291640,1500711865574599512,5896210682371648968,5210774093401794288,6733641975658359300,2946510102160875328,703839760687258716,3380859217179761436,424999255732879984,8265197439785096316,1493477860075701060,2297020018047729876,4962658300491624120,8314449929643820032,2770750437208214314,5631074546873860278,1404507831478188720,2497783654196738768,235260124059336294,782998198770534336,387805024173217288,7451184633409672344,1502106953440080834,562042403432678852,575301687171531840,1278505081104591600,2506690815228520590,1726550729567848494,988421827816360500,865333994470772688,3488781543980410872,3761864418905737848,2555556951935922160,664159391714783712,7578652689293352870,7380707427511262694,3340349023673434656,4198209692447252760,1224986011981518972,1694222753517870750,434756890781283600,7825972229928880200,4551130496766144390,1226062793446228584,7449513164591631584,3305533832144111616,6358279071542715984,1447062699908408022,4458431147392472472,2014735280734713888,1759545963504678288,603965836239764340,4766952173085535968,1090438499451998312,4005034374189230082,8892666610359812016,5499618130103661920,5897254738094068536,924932520054111564,1725389412029185320,446146899314399568,11177359736653680,22355714046019940,1788536692711694400,18220727213976672,182215378533017760,1822234852535882400,1222505572314645792,4620359054866591140,1662539558679708720,5489863176719308740,6699868565188065218,661856252841875232,9449799833560921020,2379080829954979910,302873558399339796,2403063979804679256,638253695510839584,5067916762137357090,767381137902060654,1096307537918779760,2808037186643346012,4020888882424422708,21534659175675424,107678085882995520,3230486282426284800,738985298993435054,703363379500509504,1040492605607161344,873294264910609388,399000804259485042,1723150371741348528,5196580733944275220,2525031540176859504,788693812571499282,2795544586116614136,4543453442427242616,7328868210369757920,1448227399058879304,367380230013831672,2165605398244056492,528021773100092096,6556785507668299968,1947519847290290130,2746372426627371120,7220776090699506552,277144820536163394,1621944461713235544,5668061370533872992,2090807720533426176,3059238818358292064,1908952691332366152,5575588321981968288,616576681276048180,4108971318641051730,290926797637505670,4743065478019537984,482169607366974624,3214607029025279520,897898160235790824,101052278302500864,1136888697022562880,441179113156805502,354406661080160478,1171847496509760744,5020865614689409824,1660944934694230506,1070911746809725236,3966343302947294352,2056195156627140120,1160012936645597430,607760742236115664,868268248499340480,6926415849261753408,5044743115122439236,2951585347547928990,637852500393880800,5733013187711556288,1858322766803246352,4266027903545450910,509096048975341620,5603289438364871616,5761409622978432870,1631210182957792580,2347251276385347192,11876187099185748,65981751621066900,131969372285068200,1415783402736643836,905090325901895128,442117695692186448,3316030188227733240,8951917019206670784,8040380122410247872,1108555141470630744,4101736610531016424,387479739445230888,819539843060151504,3328197885665602254,1720143741967489470,516947723564447952,861617855528861480,5524444467195618426,194133064369531518,5824250932956843240,3519854551183402080,3885119436716950968,2297076728172369636,8516797142165711712,3091167930573879264,677809636762999576,199650876069242628,2662130060639722560,1061917393633015040,550531722709437282,7211407435455512772,929834985606652576,347245298398335552,4340759250108166800,7637666752422590094,3265252568172909540,1870203075431146800,397922672570969252,1865066016560032782,2482890614401115520,1221626353971580040,2045860532696035320,2548516249853931984,3096551669993149040,8196012049841700864,676758922913675544,3434015940241898076,250365434740186320,1057173709127179104,1008699913542461190,3590615304903890616,142827274988316864,892710161501805600,4658602326012605586,2110535262157001940,4251449426965760304,1704533180700967848,1558296496043591904,4138615582750558090,2613670420524021576,3981239396933693568,4952363217771740140,6591899342477383704,2721313796438651904,53592641472484752,2679751217486710800,1754420265772432848,2783142079486452084,1870165897159545504,7879657317932828484,4548701538428065690,261506326656001536,1679923189360059516,3728414190837717590,6578748332325931752,1750675291546770072,1150943799028241200,178884748026598104,1192618008602341920,2141714659172105040,1439843615277158364,2806891951634281458,770563270631943704,3908382041092002912,1198726379828586576,3787159132763790732,3520323795563713050,1243536451420045056,6924166197994817728,5621969254900307442,357877055553356196,6008273369698426884,3199536638471292480,567788386811173002,135987243024734420,3399832215172734000,403181534667562416,4031994587446771440,9982344207557164410,6940394824657365204,4683338386597341360,388071177598166328,1540804073592826566,2585326907561795328,850967377888866060,3912063934529506428,8165341427170994550,91587658194632712,8243255670660077760,1064186044663981824,650895367572492174,1789718049208763280,5442505163715499540,5450931494909549754,2098463658582311376,3080771409007884448,1445268744549289224,2275499324275358412,9039647835141741684,5291450803034003520,3314058969488256612,1205381043910905820,820086393105065340,2583848852652037740,2695295843549678848,3361980305851659090,5472337073314084770,3328317530972864864,3640673473713970848,111883506396473304,1118884796357758320,7694194579690084368,7014928146920858688,7209776397827860208,122508563239778184,1429330100850435840,1835731209157239512,185661898913649492,732476279354678658,579437144232108448,865015561526314800,4240130087182947342,435472301547433610,1962982521710584368,5734037294826622488,639640954292155756,4745484111793808160,3457928459332265184,2206086326491620960,7266306016480459158,257473484754973146,650198569061851904,1001287346627939448,4054074175007777376,93698598103823898,312342541866818280,3123564239427955200,285768499581021126,3644171861062296816,2685087526244828400,1099369663928611412,6926478358183348272,1561014571586427636,3157707721820054304,2775039885010401624,4702348028257444656,750211557993904830,1995727840344336384,1946562095922702528,1454082317273030368,2767433636394455496,1472757910808314464,2042180269449773376,4212432509898724524,775802194292681820,4007655935942867136,2021162204217179616,4935850942880110464,7836961399485381696,3932159730721187520,7747003450643137968,2790773587704676242,1166342336228091888,3315168462474269280,1996003908475614200,7742841281338205856,4661813159573521896,3079945370261432820,1011241132685181696,411994003482402894,739644140215680342,635511686495438016,6940779638850159228,900027670329948804,2222980431418725132,3886822520517358704,4202842198806887328,1935895610719088352,1158661676120824092,2112109818543286272,3084802234225745184,7584678220129845408,2771101787050528272,870387433335267456,3264097910316888960,5860888200137075248,2803346435447306880,9866075220248775264,2439723695213603676,2144944436325807474,894047861503530216,149389682521704276,1098104366826928152,2212599443440655472,2549074441735845480,4102422151135127232,1101094890686891100,3222325815240624522,1175001841596769164,233873829624448260,575283659158383616,3287481258265524480,960181549874779734,7550301813122789888,3280455150588033792,3575054069754119310,2271865961555134896,3204562531567088736,4957516069913431872,4426135589526554640,7123143448048778052,98653973296774464,164430594128102360,1546193049877905174,5742719330265704988,5149721992366753060,3493690542139055616,708665766637888440,1285021990602623636,1557967781952981840,4056760571976019776,4429163260980085632,7268037315045030288,198344957833020576,495884424462636640,881462177158454352,1018606039671291858,135515153058766992,1161610058874967920,806318661119737458,1237637491775716304,2920617657223721532,1565384418661512384,3142081336124863584,303753902341430862,5442523623449198496,2983698461776070568,4523088628038482760,14075451627638112,234601282008067200,4223010671471116800,1538066945834143416,1157204851558740908,535385495574938880,207985994044695828,5696189450519038884,897939241086595416,2195664044416730184,7219484743083931728,745414021463762322,6389546865644359080,3302030455776565128,774559068621230304,6443955322492518864,966177566825827902,1993801786715101152,1610580591136831104,154204513859258992,1542113636959638240,3231081793629481008,634705298955649992,7254097056817312320,32984108404847424,1154495073918820480,2071239651223345152,2607839962079955024,1723353497126599740,2085901557300753624,488566586803408704,1490502818791967574,3970700185285330524,3049210084157010324,9980385015206204208,4509295783481077710,7662753069219076122,1516842357684764352,791676855040316976,4495786681924958256,9447777500552203698,2151319384939736844,4043784996564445440,966911754052530972,1916576482620139656,523329288490261344,3165006359246812344,714216524730717492,346592964877660116,4621444781723510720,113318230234974840,433457671275738,26008615368621240,303447322577179200,1734061712701776000,1872691036532342108,1497325053881507820,3642904784058720840,2436123752497097280,1358627958344948544,4520866548777205104,1102946868458932872,4148920398801990780,2186327810408531292,1949450847671267536,509743000444113648,1131329462966424336,3367442721335501388,5112074108470480470,191307703350524544,1062867774178502600,8928217423692987282,7648496726022833508,5052254424397577748,5390189500738339680,4598342583474103536,545269331296478670,3894953899913874000,4926519690471868680,779807609794708792,5957209150183542888,5982533177792345328,606337065494307688,3132713311487970000,4614155598557174598,2945118029017033760,870764819468073840,3127191155921033082,1487324727572637898,8911183741882773876,1647304709336064768,2052377586868807422,5298967719936574464,949433778254898600,1660176849065693088,2982328163475657336,3874561911261489168,2346935857007233980,3037412711209238208,2086854736337011104,434671356565729324,1038136063874651808,654051533740484304,1499350168258535538,1368545848092779148,59839546474994976,1396318081828714240,1718417924387375148,3856680479196702612,2248449977930592600,4083240119436703008,6759571198011397020,1043605426557069046,639650815993696932,996291320985945864,1750340357400754568,799575069297691746,302661204814453296,2594354082827376720,1830881230318476204,129218904948186648,3876739265887417440,3898187519071845600,1956321379738690272,3451117713999903760,83375893876635888,2501387868966809040,3437366865831396702,2866002557091278766,1368565193333468904,89799470397889792,449017286274740160,5541525903958599870,3404645046184563456,3871821598726508196,6883029029154900804,5893379883731720512,4354016099846033472,5364159301647419904,5880134458874081628,2107142974671722892,400220310690266976,3455218545581619216,4058256590778832812,7536392703855889650,3173508344995758792,6651579670401687408,565142702242037964,4403691641866879936,770064539345412336,874248666729735168,5445949988620900122,4764646063861922520,2983293310464531456,7632551990959325568,1544080376716139898,1189583312041666344,772391157443783640,895091051391893136,707280433800572628,1946788673984043424,1412126093738997144,1292107882305963672,4459389078083809390,7597555693986001584,3500866764470304576,4268071248308198676,1503336578684152608,5183884221296041422,1146757676929178688,240247092600263520,3603866353268280300,5289924197363227218,549583362330005880,693023301801339564,673553671573685896,4811311207878620400,1529446957264228896,3249381706841269824,6870840788547079488,4910325335269612368,3531172723744022400,7967524776540804576,1688373662977404456,465685434063387438,197651645995140144,6918114660865914240,2298539633864813856,4119377749581488580,260793224098674168,985273636262375808,5023332979598467380,2783425877043158376,1111530394906624896,447956945356367304,1059574191319015974,2011047257443504332,1071562398401507328,3633208607073444192,6725466035146968012,6627236854031181234,2759638539351388992,85333393836085296,1422286351621974900,1127317236612395976,8596425658387629056,2402081688390733860,966753947048439024,1084374648552341216,1932796721295496836,4027293271306950432,8475153629806777716,2028977703955062504,2466866454538704768,2773845915065101800,353840389464723912,2948800771592136600,1727743431165150780,4671426707768843136,6568651751580152808,2282060707062962976,2276762812607335824,2222869776001079832,1683003716550035388,5099879465852883558,3927276196851953952,7511449534461564352,1281247485785344260,1116550344766626768,3047563805200987008,1536452612818687296,3325114588836404592,6820454673281525192,3648167090809072128,1481401673446090560,1109591058442292536,3428732109286789032,1648198092681365280,6072347164680152112,1965367623264331824,6196723015776132096,62374270310280176,1559425951825015200,2501996391753213636,342532921078247218,7982008399962331392,2239089043422377784,911655071632277966,3353131462068816246,4462006096926561780,2773360558887546528,610406389199606184,3052167368571360360,2060640509887280896,48534201689689548,1294302804869696160,2848772028079077468,1052048062240083216,4271643851746467672,2316500935749577260,430932634336838934,5275750759188545664,1578185707467504856,2060436697821174912,63561054381684156,105939790810133720,4237779646775980800,603004234679694252,2182882329492870456,2482261716624532704,6351216131216092716,581171829033138984,1586717266800674148,5349166603989012480,1206580653045499848,5307812156326859046,1238872909203226710,1251352850219077408,1607056007941501020,2339408263365634428,7457092008124616224,831948598043597520,3116979830171902464,1851288766527050652,448356695158075230,3149657245922744952,1775033096414715468,2482854679466663562,263096074107147402,2048506720439058528,2249136164574749472,2825390956661526546,1034120047786971888,2658139282778804928,2653806090814879392,6363956032858417350,2150942621248253172,1792257743871912144,9404839135687566672,1280201143896465714,1385601010636336890,2402230525582761280,2004419108464542864,5408450442071540730,4056431406396867888,488193449026477992,2395016270221011456,6321730381833474972,1047798865260353892,351075944366872464,439348581612146184,5125960820812498380,2235676008122684820,2066804911264580456,97908623408237280,195825932756690820,6497155010902108464,784283310571447104,8823578611515160680,2534305347200539488,3624110572162681980,616343970995569080,788842755144456768,8075447577759231648,921888360883240152,184067206456303616,920376853721882880,75218198640811080,601772279241424960,2861076079892297952,950336611864628688,421438585993079236,2880812596524573942,426603367305488208,2474613170904071076,1313396075195943516,1041871512390713478,374991901609620144,7500170666872149120,983278275149243160,6553769572725816624,160261055198825136,2275786369507337220,1109048856303753178,3049380487746182904,2950908241644656832,1473690375669362304,321403729792586976,7348162723474523616,17958624878618144,51312632387724480,256574540343986400,2158339359128357664,1607500995066796128,2872625329220701560,41173030188528570,91499680308306600,1372556072022192000,10173357953275889412,5812343504780878116,2500713726635408220,815365031688279424,631378104718086192,5139839627321873490,1116608234456519516,4141593506728501560,969319164165629904,629053806273702040,109315153926916626,1093200015383141640,4143535463323915624,1396747183481886480,1193918712125446068,897373113331271360,9849404793715712676,1804272504178003506,1877603028775690370,3070362488656817664,3120399183990299904,1809782567078582808,6457667055679888164,3758934050865561528,1456187123310686664,1917912841907338080,387004893441232662,421076726685029124,3808286130932451720,2154031780870732752,2530971080268798564,1537433135198319744,3150757538853132672,1954240053427811256,6112518546940413840,2220755905739848608,4516262409952228896,3756544797228291648,5063080752875078598,2319339611078718368,2025468421561238544,1848726180861649584,40204638409003904,2412385260218864640,569075758656143112,8707837606086264032,4233020129526302448,2065714276836420576,9056732216363475680,6747212973369206562,2593210975417767528,4346969430591027460,3186981935650615680,3714256773186349500,2611461485539565820,6294402629283469176,8406410083703104932,392732291229823692,473609286477467694,1282261968377532612,1640404108874712656,853445098629759348,541942928584109316,2847127401051935232,5514287293586017188,2951930073815543280,1174816290997238210,277356114585229536,3698245472378465280,93491009804300496,1246602059145601920,2844534264372222408,1823305414577101452,952936127726310090,7851320299745014032,658928648977230412,5799526010609986200,658626172448634738,7302405346912433646,183468428311227408,1834765613898100920,707609125114578740,645104334609264912,2419248492637011720,1148777179214065984,6685249658656905684,3840220291567473330,1528238754164580416,5796513786235460544,986065613025673932,8830535177790311148,1764869485604454576,1061970616641404520,188552571790473366,1077491026514846160,3099802949330436096,3736932213563116308,4154801090630457564,9880997852169216,247035895736883200,2964562147174809600,2944672321030861464,6754410949049736532,420827918114851104,5232695726482225764,2767143208972811080,7356311784866835648,5596010165749509180,5655035541448363224,11683192522965306,83455073951819100,333835091536969600,1545583185443312244,4821727675505883948,5928666106713626368,4373190830102795784,484555319198318592,685574087008739016,5713370601779839800,4150117674839398944,7980277362212733816,2020524607933928532,2599613142517052892,4667492477708731488,61279292467107000,1225640166321285000,2127694780195973220,163695231929707968,818512433283662040,202026041542900316,7071224822901101940,7757815911022602288,1069256992962521312,2904013766336521968,2963441907278863596,6876766070220269104,1746363974132764656,268795511569247580,1792049490386557200,8112095028824171616,8069977366849387152,6147851059589488326,1387801354469943132,10929059929771776,218590884972412160,546501429319185600,5052452443009660656,2641614727921515168,2971107980540437248,656540728138609872,4714184797757992260,5526087441721985664,4471342543646321904,1546934390327990044,1595568594571761648,9365928193260049464,1961350798836632,2802053871008220,84065341027170600,840690660694848000,978802750096930224,267975623791892016,1466579965024854864,786454567615884816,6476048341198703232,9238452935828757568,1137197805495864366,960640563599992392,2811608760239289792,218726581130297910,3062307816679999860,4518451707287313660,8436696615409516344,234183731063026968,68702049973334470,549640751927917440,1084150432231378620,5055064906913270790,3404383554772333296,3271442925768040224,2467485756050276352,762084542731531380,337670415469561614,9553233901810113504,1759392172822776804,4783035319338882276,6150032654357390064,3949335186720051456,1220380493825490048,936526736055076770,5640548150207478984,2219341177258182528,2695268929939242608,1894894954980551820,626539902529246596,7442012532747259488,252412037490834144,1442418399630948960,392465976551562702,1048357116228833208,3052399243954384044,3223423541697873264,1903332940125761772,7694336979041485104,1314772606558611864,7250462839444145904,951376842855349398,1456824572379278784,330598161986293368,5510213455357817400,4713758852397303632,580899621724661880,8713880323171070400,3678010178815160856,5481099639814655898,587420981132033520,5566178707677130752,1163200208561758350,2793290933306055798,2559870373199010660,1444813003692384912,710752063239462144,1234530666833158476,374202238574229120,262799313816852972,1850485480527163152,5351367201994263996,4112678955098145168,1054759623070881520,537924694333250730,2151794085801595080,1590217824046950680,2580485622641341488,4321698675601290894,1126017799071606252,896613211616185992,4008103754304435168,3684944293364758620,2849845975475340996,1179375143061626784,658310799520717420,3761942613473415600,956020619355918912,171529897316250140,686149978315188480,2218301484971022024,1287311960873283052,5055623695901868480,4631944433989227660,3015047791402695576,3426944502250523376,1945995162729750792,6446985352376604672,9732405933090165474,2173308026568172956,552684260073026432,1101653038463125620,3125732948963304354,2254436713376324888,6546582237206191968,468550882268579088,2603175739099089900,3357494848412302752,5693203146626667072,1359888327777957824,7027914560380570674,3349622155248276096,240376089932418636,79750102668198336,4785218065054025280,2005494659216916872,2190639692582928576,1644343874674731240,8677813303057048524,1374009436279449888,9993041155671508728,1924912119983827488,5436437405952348090,227886826999791690,5581721842616457720,4898959308754358148,22456491769558584,449149723792740960,1083017300694461508,2917698232099240128,792415196181372790,3375322594199503632,2190689514325870272,2592738132905306624,914786683165357908,6035598897338501172,3015339490742065568,1676750812674898464,8424303877906499088,160721463212876976,4286095461043799040,4223131740872895456,230214211430304112,4604488098101327040,8809963718448912768,1079169306556967088,4446322456494957336,428008820828160588,3154779061359235136,1807643530097700768,3563477921257008408,2282940431963633574,5005885014871951104,3933359975567998080,1756165712583405884,1894995257411783466,1486692142360137000,2687044572577436328,5255875830152140128,2243987797498903350,1973653970247897344,1381145771016552480,3032740272540430452,2516326184834287422,2117926336502099232,167167489536905424,716463816358853040,293187924004518180,1759205424400609680,197799059376299600,1186846897628736900,1383573874973957766,4467288715870134496,4776570819851209764,3991869431057402520,1974272943271195044,4528067810371826040,1109952869424627456,7995408993332513208,6533686871510188122,266907457773310656,338067542663731608,6297580179584640936,21757837307172168,163191003666331080,3807958648873276800,1553798632804858512,4644622759241818008,2983350647406848832,3239979132785994648,7914657509506818546,4062230480738833830,5640194482060814640,7067260485871770888,6843664734946290432,2736744786987748614,3286385142417135616,1826994167063484372,1032199832360580120,1238152366748583440,716638725977795160,2400713626855377456,334284509131872056,8076773035272064608,3049657305169546368,623671730361285016,2819093395106781870,4213921232782137552,599808912107970232,326628257101254960,1398461463839137518,4641641286804983128,6600895520940639072,1988187825099544848,603248031266287752,4090425340919790312,1961657454649349400,3754802531894295552,190549458774911616,1429184193267648960,46926279940080912,3754268548784691840,89297477187370848,1116267867232183600,5324257134468479220,1107778813079973312,433796630459877828,6006845834318120508,5343471121772247552,839426730396519340,1961874519393665178,4047248417807579256,5410969785676612248,1441617741002005056,595822287375850932,2453431308873593298,5840227760015181120,9319007712239027616,9061706309687381296,4863641346753168276,5473829201848040880,3441477909955645888,3183586235887188696,2840175236823857424,937058714019449856,15037963505399016,150386289809759640,751964724114185400,674447332749483744,2068468521193984896,494889937175542084,1362006123656978880,1542682962879537984,2094178673911628904,8062482587983538736,8944791212670630066,4668741797167112256,5791132556677172160,3170712545066072106,345362235186813328,3453775173178475520,4041598659647459460,9585575173583266392,245815784709065844,177843817058257692,2964194772506304800,78874033936350870,3943876197077869500,4338733915085809840,3896605213488183264,1712892896045595396,3665420569846289170,1857409675673479488,1510367594097294432,3179721076013846664,4326583858328804688,2958667893494748720,8518535772373988784,907588936381206816,8067814155714255360,4318619337662695488,173623576458714624,1696585465757261034,3888766082688583888,2131462618345075392,318210947322348384,397781282453754620,464859471747756174,10219640497506705636,7338040752916210104,4506192143272238304,3623627340890618430,219762206792150528,5131826447543784540,4464301804384686660,2915180265856490488,2332946077350356016,1245771889787755680,445283212027546188,1876068428675123844,4700912649670516032,804589207841758104,9137926586676512772,3893612088094965720,756023734929705304,4758442205043892464,2996402573260604880,796030706136274260,1237159921420070784,2246009498547582744,226809008560293578,4383613250273380536,816934476466998504,4541444805796412672,2961859146564135708,986688309514019376,730422349462685088,448261490426366280,7172501109079318080,6056870367998335344,534899462759481456,1974024396086498208,6444757018536068790,865904745726727056,256400322602267136,5769262441006768440,3271495302317509020,3041060211502268208,3947811198562911176,6629674220675839872,426000455521831440,2556115789808340960,1842762159882120816,1449098448796744512,1844375783411180556,3503459273222143464,543946489551472788,6706451051232226128,3688326172382035932,4616814342911787216,1076105977365371104,1378595973584517492,3978071454514337190,3651237897644748192,8194519196984681172,2661192684192447936,3261556641465186990,4568378603230515150,655507866596010840,2052218994656860260,2908431828902255490,2102083493002345524,2617117525443888864,670748855918346600,2505573520886872710,260571708951537884,898054276909412448,108316775203076628,5416078275688573900,778886054632768518,1727184674813354064,353252655215161824,21012085141567344,52532535936675960,2101394364354067200,1936749626497083384,1666492015027329072,1281663153919226428,1597104420183790740,4981792965866141568,1403063348270185080,5785046164457943240,8923653335336350608,4604041436205469176,1240786642951753488,3046541103318080790,1935373178688450660,3899182842017818752,2395820316771393708,9640042077383644932,128801502960092424,224299976660844888,6729296848905271080,3790540405760488092,1312370143675745940,3385482320719133472,692418016420186554,2263856194968592836,5132450860738218304,548737288105947168,1564110629281532688,762246547480542124,1409595017909450220,2331112404922044480,5663182877125286010,3685076021293552170,310264859031158304,5244941560208616952,2593605262878118008,5546042353045397154,6894449218216416128,1898531043592416840,2129494776684126192,307853333068223656,2173297591038318624,908112978782348280,5112669694029688592,1009493402964126540,2030301587446406352,9263053735652535552,7859618699446682712,2945496705268888908,398477517372173984,2444666244228992124,7583896822071458448,1412387085891247884,8234376011311734228,2327515406214241584,2074932473877536644,8567337759553786068,384295257917747712,8647025562213418080,735145979485903296,5278708508908480464,2831515030214343440,88467413266540224,589808828032633440,8847523529342215200,2424430604149421184,3539450827092138084,1713464240263256020,9630281521384261452,561586936233880152,4680098013954519600,2219690554762514676,3922789061076541392,1131381962690248896,2120648983509980484,7048182290854591620,3411057226293434658,3039014643034890576,3141599700967052544,4158726515163652416,2892235882354306992,415196433097636224,6228221789032779840,5678281661393211552,264202708370526576,1761429244407719040,1153840677193586976,3154200577043054832,3233799495887300976,652954766543075328,3622304838205115424,3955647453646210728,3610829864766001824,4871273201399083860,2735465995944592416,6117098523083960724,7177258538541260400,4270306230685070352,36962683208835264,739286338000844160,468052927815801042,3040005970198557792,1037140052945154912,696800390891534424,10281325415060950902,4800720350841367392,5511128117196395424,1843431858939494604,7626382984008627984,616728094865804488,5286474441427530240,2729077836331408290,5145858864525842708,798982252458535152,904638085256416968,4575503251574363332,3157927781259248250,821474364775957560,2256633016342735008,7336770267377473056,6319008263680259742,5309748659344908576,3981179530394811648,1757864563828863672,445368716758375308,303130870185887148,1336687974125306496,6981547212278124750,667694883395639664,768713971036480920,2387720728483455872,423594316773185670,3630968874287213400,1138462618856684960,2170566487269600552,95616890758871232,3824844638130890240,474946779361329216,3166451776238160960,2194958914420095008,2275553113959108456,3440609751290045208,1300837815033189888,4731892227095663658,2543091787838253510,1197329900520624816,813044013643673964,4139687542880100384,2664264281979793056,602017995207882396,319292499406005000,8514842861446900000,3542290367511907944,4646071697984158464,1937167385060011464,887000193536411376,7241372842446191358,6159469486362978856,1551248000027529264,3503690488971002976,3319317642791292296,75073151731007640,1351376435025789480,1908678756808870524,4071010299169886280,5204286684670442040,6579423057711416864,4454995226968338888,2905702258568509116,215731355563257024,2157408865522902240,264824757408201012,841374214264493076,1746774022070243232,2998518379131953664,3135728622727565304,3918362491492178688,1451792657426623776,428907099740229604,5890417400878811472,2314048532046568272,1821874224631461192,3359670883743407904,215694342834682716,7549635498831938820,991756458904663296,495581595738768036,1652011627562077380,3838935698302954080,1138308440133106896,3808853461256552448,171900148395434688,2148846774149714400,4456362630482336112,1267889896895944512,7195960538277698484,2653830052874577852,549660431138287452,6044733480947465088,888106654753960536,7960263283139162346,3280986687568968288,2905837952500790176,908770616486015544,1316226247769704392,3677400629425822144,6256447541967512736,3826085603588253972,2687420224682117100,7372494657158513472,2743288137953461548,5899145169879132766,626965583968782810,135774231959070168,4752308010681353360,2574870688912423770,558970279884422796,2534141042643336192,5317366070982682656,5004525275446956210,123361673190081952,308417804093267040,3555861283499998560,5894598156205446750,7767442628618706054,832565336052732624,4218680361713683404,92787147232594110,8351212062539105100,4854845650407010380,856790743071913536,2865086187613082082,377635047945812356,1079004930123872640,3232314469301452560,4757870364751888290,2150146512624325104,3130872341700280320,649945065252754560,6999555927569270208,2623373982425822796,4858691322509107632,8752135281621202944,223648630873805712,6293164070557235628,3947420829707060256,1465413988555075968,100051500476838698,9005032681097054580,2008561561621894656,1616814874110022752,955881833076177804,2430376129187843796,5834594404670522064,656284610461131072,999410513319522918,1950860135212758128,618700482465875520,146990184140664252,2939933493799445880,729250894708233360,2429548869833312436,966841024362491616,3382012582710578352,937918579679506782,906699498925730208,1289415199822716816,3383271326721473088,1220989990054238262,167679201507688308,2926663840994021568,728540712112260456,125471909016013230,250954897854972240,655311261747001080,363987347591465694,167586589112319258,1197099916550835800,91727444399610528,1375972413866211240,1696559417539493390,6083615341111638528,3110276769414963840,1631826264965370540,1360730428938088224,9200009630059746264,1406504188492686464,7580465679796349970,955264031328615888,4046131452533608,40463100813356280,809297743387474800,951869216687433836,3565997419325645916,5870193626989128360,2054577008771852804,749702984450118132,2480231653401076512,1162225380838123368,4536289255381906410,2953305210661709544,1196427717310731520,79950262894274304,228439406465368560,3426742361390014800,4932418629739326264,4366891988524539120,992090213775371270,3172731157198876536,5497458408050784336,5653731043541560704,4445043737171138040,3522959316975246786,2383693346476292704,2045250149753497632,4170453805503788544,5961201746922812940,3629761160741001432,1833650756132407488,3028014455308430802,5040870160693961916,2502415454535903168,9526592242986179008,4727595865493873064,1092170911730899542,583131802149873636,6014612259255131712,2196539182763464176,338594891798434888,3386098365435903360,479690863999755984,62865575458542486,558829779015994080,698568054727880400,4094897387355346560,5581208189748291552,5070136591108714950,4798674593422905984,35290797531494340,1058770652547411900,2287707682105062232,6332859316342857204,7507156294559645640,10634122207800302148,8635193283050766576,57180478102186752,1715490049334031480,7568028214822132992,2216246836084819116,2740321116869037856,8311696933411795968,3373186345225290048,477205010285910732,795376783060811280,2379250590958394424,769833968719037748,1074024116949763368,5361317698175693856,2364832481118590912,2161521819236815644,127377234751928964,4458399951740717920,1599149390751396720,3328879497810193296,5212664733246688386,6094582965541066032,4234874393399349504,474802632024173460,1582745278726999800,3741493669798951440,1586122353983088840,7052234347333556172,5355489611714780448,4332735753117812760,108373815872311296,4335143914877706240,1281017314400720432,431780191435031520,2934723539741436528,1345545377549824384,1461389941780483374,734400310642855488,3672163573437807360,5709025804731282726,1971179752567379856,295216952993159424,1123830305900859216,1676838509896507488,122345776249296866,1398299134795346880,1657643315950844424,5207282375237391372,1065002120483542704,1085999114194127232,2915001738508396104,7629297573004305804,643998468015865908,2146756268687644240,10508875682388110208,4570707787062341310,6932731107950822574,4219785505310149632,1963277555999977536,372162483646033608,311181548292657966,2222823404570507400,1714201613397407344,1578281083807273776,3106341850931247816,5289866977858520832,9828497990775469968,457301064156986718,655680152297767292,6197181999593382336,476820321343223376,3534738945846180402,3036018194741606238,4367064623170610304,6043935603089378304,2193336815020382430,388580591982179664,589719486192988344,982909166668514160,1766567568747216984,1164456447136309404,96647145485539248,7732112695583094720,173437606993448496,6937810296672908160,2032895310734905932,4073882006317744128,1813846946908514256,3767827741855928712,2333000111512385600,1562781489352703568,2510321203689334992,2362235268276559768,1114311453080432904,1086515403666276888,195354837681229338,1116362595650819760,3158706197549889024,1416445583040803152,9158939604533176704,1329783425346811284,3288375804135873300,5267179778634330480,3177087292267681572,1003033207948096072,3098387246070160128,1661497478638495608,1116108669734502344,1120456473815185542,971809189231078044,1327041001940477656,5576166519401445264,1952145845871850020,1187399492546095136,1492096568774628132,355371919261664184,577837924417518338,1964044826524073232,1135054062299917440,4283798207651380696,8923801751213640672,3248675436387678408,92371918043533216,577349947635162900,3464252450765508600,2255499016241021196,320887937939995008,1619314387617405816,898520481231614556,1761262343452289664,2143542226496305584,2238071923663600048,2348013628722396636,940592141450309124,2941363848169228032,918618438118826808,2647521506701631664,1818251722985962176,4138873178687136072,5381052043473836100,566227254344851946,2582494446932171496,1026825436758228840,2559638631556017078,1027476655687663344,502608160076040288,4188586014635543400,8211696962917258188,5546241960529140684,4191104028405443740,4708731122856763392,7710224003803064496,120658317795929328,2714931850291477920,1843506110538161784,278943471155200900,774247900996825752,2203305774358299732,273479182650585792,1162563044739003138,3216141874207058286,990245845690826464,2615558706636072408,503129169175811292,1799608059136619008,4191662584148670192,6925166302346356992,976970218463338312,155312500326918528,2718088582644476160,1386396520157523820,1844461269473993280,663133199314000176,7460577383460352920,3230618688028508112,6908494481998647984,5553412973376384176,8373822842974155120,5327881636568964552,4168310770585526202,2048390081985208068,3732418298633066064,831994844660620160,6142018773441812142,711590728604105196,4610413270133497984,2103845484688705836,7990634308394774640,1827159911284273740,182335522469219568,3646871200241089920,7596597945490505232,6445755865075738068,2235955177880084736,351191165401948956,6632992254169480176,2028979416481418538,3153392970911615772,2652687677115856224,2927467811384005806,2286535718581413816,8119644150440603088,2983190600582281740,2303622364150382088,1369535496364781172,5802352385959727220,7463649511198748896,9283162591638229248,5466330606579133824,5691569391552992080,1813387358189610816,638407136602395126,1090270833070499850,108397932119681340,1084027096839033600,3855218776530552312,19719904390140744,295811602720181280,1314776178130883200,5267823224811412248,1739094991407309630,3207048437744968128,3158698035248669376,2673898436348886384,2877766030628681148,2363720524258598208,2924286234484562316,865545552583372256,6491877731174267280,3538698589284299136,3799634467185827648,7441999369241920602,3959658790854513648,2314591367898737952,161173688076640008,3251206983758604624,3134651516749104198,5170386629871092952,357451980764114544,5235472233150963786,2984271295232067876,1813218390543072384,3663635928299330448,463012192032248700,4630325950527183000,1927680136145202912,10812944757702311136,9284088158304105168,6005934557270740752,270843627974400864,2073032750382955032,1647274388471142468,3995491150625124096,627627839615483220,2200244990522257080,159423740564308080,956584590977141280,3878017638108375040,1033202437906361712,2716079571469580928,5890666727669596536,1311200201247161472,3025613434654894608,5614479184028791024,3934666265588445960,1086522184221714144,2415581635214066832,22084967735160660,147239605182615600,1104345692810778000,119024443838208528,4761187513522981920,1122251375949557856,2136991155154258464,6881090695192515168,3607135256189897052,8272674061972656084,6649078091173114212,9407254139397943488,1581990884360088984,2654025651878440752,4172653221473422840,4518289747538525664,2122952725791587970,3110278516727538210,1444029222130652640,2984986710558179640,5687743571092105180,3011771497144721364,560180356797682368,4613129568889584036,548551240098562470,3912010703959256856,955697113698634040,10377562132327155408,2615010242963523528,1483675559910235230,665916183975743136,2219818393006728480,220284164014287106,7952597445193063344,539693473835522928,2245161935555634304,388528540077734532,1032902093606632488,328216898996640512,2159866286607877740,3461062444947530010,4379897703423511550,1768668223235983848,1587351132435881088,453604082499710472,8169581179775828538,1832452319104286616,181185164151592500,4227840039810712500,9609380570254565376,4497316486186235024,710762438477975088,3402649635645991104,3173104468147564314,903258040908164544,1125453082414610136,4722937521837830664,5499485505506057076,478634825121838560,3589919290322299200,5711262721918813680,2119307036519081976,913729419146224032,6562228480598140308,901415261329139706,3243400187295258348,1126831689845859888,4750224675435369216,1306032368721158056,3812305254791690160,9064677624963797376,433345926207386484,2102470267963104846,3814260343301541720,1058728599307710876,4494672513331292160,2046608168958916488,543820388287924792,1780183401372684576,4900246761202592184,3596896581321623616,5747013113169313320,2365008028613099664,3199993964139873936,2923373699734386312,103845859180853184,1557756480016419840,3112027413378637104,7240583487496565052,3896121436953829584,1302928437545616420,2122255892811353904,7101163820158347030,3139263102527578908,5091067991496074544,1812006381592728,18120861675031320,151013829700269000,2114286706341852000,595777002980801136,8866301506708203648,1025753472316369764,497121457368964464,605240786138411160,3631604607497190360,9532429776889635408,7008773414075545308,1241980459343529728,3396806326039770180,5105298023803182450,110483933579840128,1104887979075323520,1096211955556620342,74048921903950770,296208728104196880,267871708911875304,1513523528281634832,479811687212399340,8636990600383280640,1102923085406932596,216356751899990892,7572819691944918180,9989113519246678128,1235661726857116944,3861135711093608766,2644262087189614064,3250933422878520720,2251791803787821664,6966005719078330848,4107927600161181612,8302043366275697388,5810037625938173376,8344976550685524750,1988259629327585364,455434028970995008,5314822952663269020,2745719461812702924,3911472890387701908,447077630801542500,5791899645965216448,8883612470292384096,1232820909106222464,652827906980467728,4174081236844852080,8478465721080141024,3519300965635079328,588764771818290744,3598410790902828096,561619395813232944,3024895299681902048,271924210699497024,1011637185050343852,1380268819448977764,7596967089158519226,1130713697456777544,3323316114284858064,46449735160399758,929035592072085240,7990201430383807552,2371296851703245016,1018023757794692940,4102204387492076130,6371899335237891168,4739928930075597888,2123489664135152024,4453166606027241960,1184935767895755216,905723334549260436,587068985096151576,5032254027302346360,1677639922699365760,1845929420541350784,716058811270585698,6475265841001412700,7430141671912059408,3533564407681908288,1912838599137589332,6795895140109762992,2265211412192362392,83693003042086896,7532701753645158120,8555491494140112288,7682180961546807296,8680254981291861408,8923016414573389152,805731325583165704,6379059641630763168,671647103672428224,1893175567966521210,899548198463287560,6190324319638320624,579242795198629208,2769778125272174688,711133976311431246,1024337662732042300,1511084262712518576,834442897536707520,1805342014075288536,860521718714361264,488877843426011496,4888993547904046680,6733222502503795488,4438194575995263456,1075741021288907776,1140629654650710402,148108921769945862,1481154385253550480,323800656783319680,1942889422443557760,1926245259752208450,988494170023360260,6069610588816893888,1383907050689116120,2316814148228204772,6982483744866713088,793478546721007632,2295424777735254978,1358314248865720416,7667491638614056128,1053165889516377456,7031430268784999748,2997498706904224296,600979319166895680,9616092145579599360,3147014068591801686,4425066382721403672,362191765507611696,3018397496789647200,2319836547588701904,3753840538121042052,958271100208930080,1888711304322633780,595441728758352210,7145615079705388440,6533907631157647524,6375493629592905984,1954287340390987968,3741621026484192390,3984587087370864192,608700381917169552,3043635792404671080,386034529725450048,1603239687105349216,2352142140478208424,3639680557659959736,2870833198093755624,5246165238180862464,173020976031871224,2039708452552652232,435691390365898104,1916173317139790808,2075298820853486304,612362634225002412,145318758402165810,830429430472971200,1710860672666264328,54971222894455212,366490938579975120,6413873523119521200,3082170309412492680,238386069032740200,2979956926111522500,3227202486595162368,2965504334600830752,925649768986157952,4628452406071582080,3478273392220556424,6383028551488993152,2844920621011496730,2412437008524822516,1425138611597397408,4072147788327254160,407636193560547492,2880060050979964818,1347861589109315532,4965858645900123312,4728098814106996080,7225595953520510544,957203966561596352,2240318039038688568,1016926291313704230,2435432327906857938,4712128755622733664,3122765003959564608,947001729289029216,4984831298159652996,8076005823626558400,631642325903654224,1426670968600913112,6125172965102033100,2997051673508840024,4295789864674362936,187997554913587920,705021832191735900,4509384043236309312,1072003805791942224,2108268555272182368,6717793185680412924,568222396321939596,1342117912985850176,595120809569759010,6351861466010770344,800818583682845792,2005959652561192104,1709959842019983510,6451439514527508448,5790407823943084608,7844770857765292920,1755543765127646538,5816424443711284944,8066777244621923520,4086189442038275232,851072619727403664,6327460893020734446,3306000667382862372,9460678846497708528,4321314942209328168,6493028370398809140,7204541871632566608,1497765439843141392,383422648262256864,3834395056832852160,3048161271825344004,2926894756890003072,4839564108703897104,5394802472140038630,993664895410529888,701203573899023760,533427984029625534,4981123226432212542,3178780264441239480,1168675105865145600,6675468723280862604,203824132733311524,6114992795923122720,1567246108463207488,1701117349801683786,2410260736432883868,9225466045493654268,1795815387871548096,4882912618816222092,6291105171093393728,1535239966378082112,1079111876049725760,3731189881288903592,1498719120804812916,420454815249567168,175894881871878864,2666447416013455290,2149835565215641260,4356288167506321144,470254308984084300,4702749796415599500,4943222995502434596,882707343358083408,489328870726300176,9764673165054062608,10533448285245719514,2671463852981577408,547305964890586260,567766825055914836,2316506407052629392,726160955785631888,10600868111591888064,5179084979489572914,351906289381087056,1955120868945148800,230131450381727532,7522207108529079106,4657670092987483020,6545630408553552492,9106882581348280000,2044983602040314796,7634298314550964608,4766625037901879680,1886648480793397176,4214673162163647810,3197750593497832512,2522417108382670752,1043979359394691488,4343905637633655464,68273449695025110,5462116010292643200,4828787910702775180,3040734507933037560,1178905317708770520,1130128751380152916,1758603338969342712,226456235500441344,566165467902680960,749898133379879616,392937209369243928,735650901935139906,6539406483186375840,6442512666413828544,6154808900036259456,4881459205098867930,1663847905160375940,1898012932112076736,1782144164552030712,311324910156996138,3937174808189574192,3771010541466458100,3024520512084807984,1008487685551100576,63707983902595548,318553916168640960,6550570262004287112,2267732476924290900,2223341152946035056,1605682808594768640,6025893749081293056,630256422038524656,3118205437849476342,6037385333701916736,1139713537055914560,3150366524101645158,3330053015904809460,2051332919329882320,1472024391446476784,6986906027129265072,378870588112111506,299054426326937136,664594589436527760,5180666828181159816,179096367735083666,1791042361487106840,888711136479991872,4937501003021773800,207459168877661184,1037341415646351360,1995051254826695824,267076271199685104,210232854282692676,4204841802681199520,669112743454795872,4850933659978225590,1404011535619282668,1976924907563234688,119626117654408632,797542485296509040,2364955619621167344,3957633233979262464,214219094074999488,476063343101161440,2298897903746942748,831513683392867728,3251567332972334124,951896572485658074,1802126843541546532,3530979075707870292,918368075842025952,2129340307364710548,795929404121271684,570889268952293088,7047817442083484064,2651092419205438056,5066721837906172794,5400573810768794900,7582285545503926272,855787707154273458,1167226457991776056,2343002204396376864,8369810368896075768,4057183471781102916,4815988157693473200,9826347627197089416,9552098150697338208,5293233871389780288,1516237782478789572,4072120775069177376,1655281315334204856,882171916142130864,389393051311159852,3572547406611553140,7859452284924535680,5980999865053776710,7813727121405843594,423964357944516288,3179872331419048560,737111091669350112,9759014530250646816,2205068649742785672,1161599086869065904,2593783739324404110,255247909085153796,775882650179580768,1724259385175321760,9775037140859621984,5595758697297359610,639380937063093372,1826882899739434880,4001630873179749264,407866259664940392,3399034753114333600,5039805167073689760,1182328597785391470,79969302827002974,2399184433079952840,2377046038556077632,1007078578076881616,398399188689986976,758025676813453824,1231426508216574656,3675643000525877766,2514143299694345568,4045608700901105712,1142667501345554400,4656340766767204152,708572264571946616,6444205742984247648,4322252432186205840,24178300483056462,188061705129959220,1612028248825773600,1086535197901877040,938349256913188326,6658282758142067382,6118959247416202000,10112786684763476868,243244295085872652,2432549746986381880,2094011690903219832,4122645083206651008,3795000837946298048,2522359992968164854,5976497836783158336,389813727213487360,779661682197699840,1151490073241013444,790448901995082792,491056037354432016,6547701272627260320,1541109875347434776,1455655945944219840,1758982827300390432,2069839097373358914,5759912085977038320,4080629427145809360,2194564490217242528,662993183050825428,898720245417399900,7066062351380475288,1301515603049336544,3147848625193679070,570127411633349950,4561219508886722400,825197220936418248,2499059143545792984,2732767204585413564,3942534804105026976,6170207429181367296,1344478071967523460,4308528526961782320,876768803947806064,2019717227638335456,1643257552602301830,529601417882943836,1739326302644122560,5022530024787031080,1330824441731739768,483000954171003972,2355596428186306008,5779775853043496568,1646044171510104870,3342358190715410862,31318087244237312,39149327269716360,3523594099266307800,1415386873909640338,3137291663953784976,3750884916027488064,3634125129140382096,4974753714963625044,1727667548616151296,3631813691946726312,6747436446385896198,4863631287237333690,2120834809125704552,1397501825960382048,6370910037171367920,4271348297150143488,3472409702368373184,1144335918770116512,1727773904828678742,1362541769562803148,2479701274172927760,6170952877713920,246848947385979600,1234298900309778000,3649288745174310048,8118679355624926752,711759600158682636,10202751708126250122,1297979279026631124,2460926818433360736,2391892834364594968,3228232915974254904,5082584058307528704,627569735037690480,329615515944718494,2452307081015212416,6640173050470474536,10625307066587468880,5200462730376085776,1815693704543929980,1640642868490311936,3060095619182332896,423395912682214536,171514439572492818,3802384439334458592,3099783280513962984,2064105210100047660,1632548427751092456,361132469700375504,7917671111765523696,596890191496629096,2267896352339655486,235689755795277696,785666988527646720,1863991034753838498,1661343732425202372,3454542588431742336,4771845390935162592,763985951992074042,391535000526519648,716968589614947716,7726134087612895680,3887132338307466264,2063135754493490732,2716356148930470144,787427614124056740,667610742189111308,5135120173723013856,8892336125631461184,5928247055265658560,6164851397907288006,3215896737047542650,224847303933133640,1007071551130584588,832323593375581032,1019604541505016502,644934887525727252,7265274225313253184,1168751933367854178,1023179364048697812,3244446408415331952,2727957374059863636,3197261123042017488,2435554888598855826,222092170647317808,2936595975845704128,6561747700474606308,4993118377108047820,385093343998271232,1925551177107281280,6520862047299370308,8358607273169841228,3540012392605714056,8369284156865452368,1202205540075942996,3121489047340488132,1390181428694188416,3622872196859411856,3217876384296559554,8717931595128816704,5724732276072263808,1680916431216159456,2839406295979610904,6868429020970162434,691145002702394496,1938777547704173264,8938089325377970896,2452556044533164328,3217952015234372556,1558562030338979424,2324368294676785812,2500588763222164044,6117353770880622816,33698920429076436,674007966125068760,3530436489396883248,597858560488760340,3587308675236914880,6101151402624182256,976374125995317984,383299571550099816,604884805177011192,2016371103574123080,770953407925692624,81396912941525448,3256019293896074880,2359241458513974174,7934443785652667184,629674257063735936,2099006228849346960,4847671337388464232,815777536523227632,1724580631328734020,4798848683239514880,3537345796272312552,1036707245746296496,51005742890042184,3570558557532312360,966754711939289856,1208496377067802560,6153785085576186828,75050336383644248,2251608812316846180,202728124992927528,337895022967855040,1776490760264165424,1315804059550051824,2795040316937720026,1537912992162653064,288043311826778112,3600699259809259600,4864717107641026350,2018398585898548752,376584465052979352,47092791861827970,659327991300733020,5651630550807506400,697223880456555096,4451170822811423100,7127924668806779820,2656732258129631616,2463717856044104280,2571178531890812998,8263176513176737992,2347504682732746224,5297657914489694784,207602805482883396,6228357194761686360,1630347335604324736,671668452925218744,1729809969759605184,2336695118769781528,461873679556334052,7902635322360709656,364102344648386386,1040338015565320440,1494060614694248832,1774581966034253176,998843241863706582,359394477712974108,1099424514208661032,2031156902539762944,529930924402236192,1766513843732571840,800424487881526464,4002297863822563680,149084056585302192,745452956344299120,11134581646099787172,9134561180196660928,187730192721641394,629443764381315594,164213427666197760,3831814587762869400,963685157882167872,7519114590211407106,6050811318133083456,371168303438617440,6681322282771536120,2364252720063383340,3515318980903637424,1730343364165563472,3482527784730808284,3344059082029754538,4873922770143104832,1893966671629017648,5831363978729933424,4181780620823308200,3247615321054970208,8035900499308374468,1676783519921555298,614139662390613534,10307769002746227288,1478961440226458944,863695641317237874,4567249633921961184,349695980246149392,1996773117983581872,8707282981707936318,2388532136559943852,3487182617934554220,4360557470020048080,8157833466174215120,1601635899676192032,5266702477857454368,50765148764000192,1776858064832669280,115974673369311708,386599184260464560,116100115500897072,6966312169930993080,1439438776657869464,9885466934172357984,982417556290403904,9652915472029035102,2892556743558959472,2939068589652831420,7308799321118530312,3062444402958383268,3117038225898483810,11086718369453682336,4252062132863663664,4998082644578713632,2489454922406034464,10712161855184334444,4513953797854864608,1746260301708926370,1378735238663131716,1916013300664521960,919867448828108340,377897268004182036,3149281869557984700,42436264435243140,3819431125372539600,4408445754264872898,4576608814667208792,1249664504380431552,4270067298702458784,331379421268006852,1621220907573389496,3576863115233203536,2863809420847402368,6269174193251271888,325508152191666408,3005387222534990272,7344784765000224,73451065175235360,550907121133484400,5258515227094275732,7507791531098792784,2486248535513903028,1547845028458998648,675898111516836384,6003960431812331208,6198143725436211090,7867664010143121618,8534659091870491384,6433266948914475264,3796536052579785894,460273587815752902,5911418008084936536,4640125558755028320,3571221679874274482,90044581793113332,900485258486380560,467222798775371184,9747635670538146306,5639032624750526988,1073161890006504576,2116818257232355776,6128726712661862712,938153662857952760,1868743381514628564,10937678863662366048,1742490338520731932,3572984317122905328,1254434871945797232,33311141509518540,333126004251141900,740312430974406000,3581687000575859736,5883809328315456984,803194684023539430,205772519854428624,266683110988083699,1139122471111627185,2240908905679211538,1613984369840380984,1662083880086745843,767168200855074123,802823048207209935,900639388027798293,84230176868873370,842483547529475700,917180304124317205,147396245238818100,1023992210144257947,711731804528501148,1501768099055532312,974699235618221526,588313356188519125,313217015058876204,35685105786602022,203500143856008014,1008085629493708356,1785333735365721560,1136433882315712284,640080967577582574,226102301580258490,787177009164865572,1614847319842080915,42699921941455768,266931911258011450,22523483359814934,675849778775261580,1652932633135192320,175227126507117576,973693225305422800,311574677186678298,21863076588958788,437355443347959600,689534646575159320,196505938249593990,1283448935633357346,355523137774962216,239672210103155430,345696357309953084,569602645313470266,412860440792876316,17826998181353766,534924603164688300,729476700224332374,121156985571223173,147115564240768587,187057754547488745,362073818681520675,1682539167108386848,141728310254195568,1292556717790624362,779682292101710192,812692312932249660,462581507169859522,1019277823988324344,929353992436979292,27941469704733148,558948882319631600,551248209006267798,138800862967264276,536539096284265722,121298346660634629,1275327536781693990,140460582650753288,351226446251645580,1462557097184125054,181618730032661628,11777359721229240,132523571656262970,736399152642438500,1092562730574336810,54058322137457644,135174625348098850,481517199588339720,340706910448355216,153022915446270682,1241046089117612880,1242539506033093160,4917032269896864,147542386078975680,327941789337094400,523201223117058468,573560731088711190,179378511643028839,1441903488335693952,506894547618522651,412237687152328872,742935497208885255,576880751378784108,292512507154590630,1330765080015896680,430583435939221872,117072568328867460,785123419151293278,67121362223800830,223785393136064100,483717109890985152,109168751757872460,119099709722036817,264722193710102740,49215970345611570,1476792364653105900,366418157374512885,726256840554905928,255563245456909802,214982226739382933,618995132131971366,502297984350808830,790258777079303406,351072679543633632,193286147484680642,185245419882801739,87651163699841655,126635040392453292,448206521141587016,273061627527466008,1035451688285820104,1759879088371012490,1335997760443508856,209845338767739664,50484567837796452,112211647249303440,78073120989840220,129322794137951283,1243896240669537390,274394087181262466,65805979324104285,1219560302066334840,435123224847088425,222115911040904387,129535161161206026,1745504768924337344,558026149311592580,782764061816356515,593069160979033837,186172804156637253,873191757016907604,369447303421441830,27907099902070262,558259629375882360,770625974314265265,70075010478878409,176549640573243660,769970866912656872,625388443269299073,852648668847112968,131644286744362256,987539945888182200,284856283360372152,1684524173799801366,303988446170553681,300659697300297012,1810837800276044480,1294167675776705472,41029080390985482,147485033260906027,320848063070382990,79687313343949140,23601975511980267,209839399591877360,1574125971709030200,510165503640067394,727417352697546580,477842188139429496,57627105255111099,1152783912529707180,694900241428877289,735489723482572080,716884015048235973,34248494738021886,456742319499856880,260971990517210076,856065373405757025,775016896177551408,1417185858111648168,1252466778742108080,1160870168310993693,1869557191890411760,224131102886804844,1024265897433829248,447011378254435976,604464863574651120,758228356572259100,389152432048692270,473526151660490145,614399673553522324,1919637967074232545,32181948217866180,1287546930435380320,190276400109995478,845849548097396880,782675169099735663,1125132280013556975,784761406517464884,496034059204205856,94758781962283623,1370788871364539901,592041295710728025,350994538464806133,980348922791219682,251858267883335232,14465664491235513,723434003937672750,1074961919093551335,925723360656919986,1300556426011157040,840990737198566348,242544100935959435,100628584378213221,487343672816420889,1315868959538446912,49246762461784458,1359156741226166430,410813481966920502,350006828743321155,613836528629427685,1140066739712384694,93242085100748190,266972470773922338,714460334692124948,1500805526056705056,42403495035399564,636184565053181100,521137620627201738,1235122378673212818,958091707869379745,439624427127797799,665095324545238815,328020542679032216,19265584874568171,770783272056143240,461481897345075528,42669033388366560,478715786013784779,1818170976150893735,192066385566207273,148351008294262503,681532029460987365,264745911982561668,1015386242503447552,522555797610285652,944238089138942328,1097198315059948700,263816275248991920,2079403062227603016,1133673485203377978,129206179823400279,1005144837605043450,768222953859647720,1249574377535876648,443092628298576690,632576710122402546,499466127643202730,221359218034988712,134168510174059152,1006471700246426040,401460273207335268,1057317257715668080,1732848087206049744,349064274763373418,400384889594540316,1585846119750578037,1345764541241445120,907523684074217370,1009354204263533010,618482438636955948,597089041704366744,1180581255132475000,130295735932711215,679247999474337654,221126016656841992,171625269093171192,83660740496720025,167355940528287930,171074903209282386,250371500133748432,260627963123508318,659292202435868220,30359030556547948,33895504848696107,346060109112997635,457578239452821168,1055734552334321250,700219764196155240,101107507674221610,1648858471158160129,1363811979702391758,401061270275108695,130195532036463744,331460587867231782,82685655729002508,354439854753805080,199587145836800040,1305763533602439793,726661069607737236,2317840464064632624,279197715453172794,212464884121139875,925229992886234838,376057939451170810,765412039089998556,1017809111119261653,328962408708380790,1193718115238782938,275766029835839487,317419305534516183,1222562325411834895,22918180306727070,267433511044223090,442812983910473988,149418527305263006,1067493589120588100,1171487869123311175,340589342349579228,584731201970274416,937755725566727970,735073716190117734,35469179746491105,236509527784174020,489138709704213468,809763959168292468,261524049080092512,166468418711395695,286378761928080672,92014606645263794,1690695759013823583,734188679549273364,2147285924752526720,232347472970593917,143675051424254226,444567420100271370,1174836137490570456,346868065560494345,445740497397541686,373274661547458768,1356744474720551049,253238926521843549,76094318929904595,422832329961428650,53132581501771042,1860019035504049770,198898239595956377,76588022971238235,1097054017385062980,38041797097270880,380495371497732800,428373047566362492,910219684995597940,523715183890914564,416775532482367128,1484239820218586862,20833924700638634,104190793223245950,220512868292093359,42540539345460918,567322403316002640,193659336640299860,1050775814046649275,914741771315364555,1477105731708090176,1810856754478356318,461363820542084055,299416911616975245,874913246948883895,826360656574334016,1466851067346864017,868898874175083555,180523609066103760,629519042338335672,237539524099180544,354712402228044912,872879151132699046,442551711608950560,603364788551631510,1264888606119961417,1254312097563039296,1154771795442191670,821341311949176840,1566084568454112042,1062588457654312104,1816134714024533264,201621523605104772,1091170535631390990,994509851917931928,11423168077318672,85691075969822040,9988607008362983,299718753579895650,515436004450035117,379368750712340712,80551212604141294,1775939331652408062,425646162884825160,256069091255911963,455053131194794038,1236960195746909904,512696369181565084,1060343462059041420,546739149307986790,264407764076500301,468708192361414089,1079799333198589410,842658220700164680,64341011931390585,1287079497396744300,832845410210391196,723947122544251755,446632384115225875,252932282332449048,98513098935945048,615830793182119050,864587592132967024,253507396642359240,1112643036477048804,1017386282344918075,657481603739250213,321942674212469307,1687396415368819155,955672118390366670,1725195082422273434,732752717619372708,665234616997294272,1369528460787396425,719073957554193351,1048805895635137476,162161912213865924,1530604909102652796,247981788643806975,1308094691514390738,701620422058311987,797528927774003922,240271105951879128,801064302108999600,165813198362731497,1599323976620192790,160133323816998273,627557244417346905,1281872114185274865,157806181076103625,37014482164267557,366008171884902028,394427451078763445,694067302436815980,414729900045015520,1358727362367136970,1035173042597199165,234795265892457862,231122537150618280,97974937484002830,391978123298918680,32139903978063414,428617724122720080,256492460886146005,454082467484721663,1125692150098251585,123197508631053008,462082941700408020,853524978061377150,24216530104089065,2179922856060562650,1103710636218335256,1284388630311261104,1030399948384260375,809627412883091928,172065306043279561,161277580601252128,861739803538875681,331212539745190710,1317103468791832995,893644581151058904,1104407714795214444,1662761390389488879,395446703047714170,392358399647710464,1392444374800194210,778198877449407369,135932197823477814,472918857288395840,118351542255697944,150426756240415270,119774536018183782,1796975457024201570,236779054847371880,44742141043450179,596680501731843480,686765303826509480,132914446913377791,1181696558898865200,70423504972333965,141466864745547164,29599449092042700,148026639880281500,1416292822530460080,483907898840900508,1945648239218342032,1247586897319983892,274643744089455234,349783180718216075,543162085710800544,460243198782991896,135357037595980848,1522390406777648397,2247800611998522600,2161399821420762216,808245258526147815,205066590724721715,593909251695376728,1420897251362896480,569612795234435106,497496899286254828,680845127962352148,8456785906443504,338338393016489600,841261483386432678,259088214426579003,361755839802916904,677279701049644892,2505894251194976175,1660338800279527459,965913868253954394,895540870658105964,1539513262489606206,116628837812422915,666582182743660680,749172648293895555,229990852290906986,257362456655808672,38186556575199155,589829597164696698,925171404644038167,186942279269543938,1001806368142960788,2005654156220910600,1653640738860694598,455170001275982180,175306742887250403,97818369002451936,815313773390868000,419937980106763830,993057214925487591,1754832027594911307,1859876814434660112,249718350406099700,860236043822529932,159289099077643389,340528303237733950,559512242404672730,943242393945226980,483124388624910324,1650189542534034698,394658145509278380,1537361274188897682,1816202695905361215,208309830525518229,231500871261518990,308489048970512004,518656795577846577,47020777402026080,411512637532345720,51736552649640882,689956189611023760,36963321489149994,739411582371607800,270622184706082956,45292458450234451,1171131926639090829,1956392245206807560,637607157121601160,329890113399108810,1760865700162708280,399178117781246278,2240080254638088384,451473488404039090,2292368814281779029,257867280387864006,2751473858817263,220161031173630160,275255193974644500,875750759999405635,295926472354405968,42321514615120377,410075541766955829,661611165514849410,596321347362601203,267480150207769572,469249893705601965,390117261163270095,1858514689778191740,112856388361099902,2218698459025301976,569746889499372159,353048849718444776,168997858758007320,811786730453871438,611700284126614014,55315401656170938,553262036787438620,358630642400977490,613288711137182472,956993633483489766,1002584804140939455,279190448558209548,1821495018994704855,46967136430675955,469762965020994450,303401139801083884,730530193119898464,294870244408451190,593641200648182895,243625552174412086,299353176603651135,200189912780307564,1779812501343540800,1238303420596384146,180131201310643356,809506083499523885,1235319452830490265,266598576339486240,267780699693026538,788244401705965185,398457093879613065,173042799913778042,2576037030187297275,1310727980397101285,166285470304352984,831588965217655320,277249952499702505,1857933826112301735,154513055099367621,677527971349331001,2100289599284206671,75207810669745656,564168100590500700,862627912156612788,2516982554151757872,952236533199335515,500030748927163104,1746720801665550600,620710754087260364,205526694317007050,1264603331384651688,393552117714431565,303937109706962540,556330718197671480,1037342019506193756,564450011567532142,1052445549060296985,73110365969047335,301015058744297512,479171577453986925,1694242373059750619,579086152817016444,841941287869377735,318606438869152745,335541901605120504,268582191470445747,551781953272792376,648665159933280960,1876715576156335581,292381904384792034,589060926574979361,1521212208058579596,270973186378992570,951388706581702310,1244259965884837776,99000320870574705,232101166945264518,572834620837573830,1930254756751641816,161767263668217532,1580458207924516998,1299569048305451526,746004643250831910,611842200115709616,181287384280134834,371382787018085652,281621248826273328,360564847976826630,16944104724326636,677894814319169760,702653566621704555,28957660440161724,241360323443779500,1714280310262576647,904540373509566912,273626479834701030,654499986795193732,1389989918537742600,1373620377389715075,454746958290039452,1553337855765677946,988346640219457656,900084799214012580,457913159810944048,1862915258610815367,123477347733280265,1482012985021592820,878396744265683580,329451068246651728,474615657481268268,244540597074394284,1630583766344868240,154978321844015590,1128669880064574456,240706657834248524,29456097835126448,7872929017364664,9843049648190550,196898761834110600,826202936441807928,1362378644504028459,355749360714542440,1055603332811134485,190773194641810975,87535321406346657,1436199248538867720,1576236106822827359,769697056800701940,952519943881682208,580035943299056275,831080588626586643,361470523837448241,80975580357518010,539940530844153240,290329771739380758,567813814213435941,124510904190125788,396474403943032920,640531875165021234,853849910354253498,280518017977315776,846192331137559864,1553810648824299285,1255046510263784775,744391990510544130,25455013610635990,381898140245094150,183425962904949840,185956623457201854,130437714025425753,869750764588166820,1337173996052294560,27782069921967990,416810566036839210,206530135928668968,2034911020477131594,2201145844037686083,471737339506742340,583127035078883058,1006676301268923612,197541525224518755,1590132788253425664,421362007061253660,232577481799961557,35976674114145177,190315980272666331,166405277109547424,717497482112527230,58758314901890172,783593318511460640,806774051590743519,57423001195908801,127630946541584300,89159473878226452,893865031074585582,31516770550445730,105075876390912900,456810442386428510,613718486782396143,2103961936657633536,1767532359219892552,441379936377658872,846361147927108860,870143288445786462,1563821080040410428,1586597353898851812,183921809751092891,53734476400440380,1678260278876547681,111688685097216962,319171071073476520,854674894247019720,524347596280835445,1549608615842024430,1392278064539649882,200801336917370642,219510582191390678,216191344803702570,559142468929267947,148521675869342304,876015174731344164,2399244553490213448,1113767263269956960,196120275522516354,169978109642529862,505479473009604728,1105414255765729152,747814948269286480,384693009392760290,343535358573730548,446618631497652250,702752170940356005,838255785546969480,18233080042173928,182365264950763120,1139998316868439500,1669352572477387269,532630911204332820,2632798235343686517,461715840469204886,849952020042091436,170149415941652346,1134543589613783400,838994880571062102,599004915772601574,1785058796463606918,1477708321972720784,432766198743050970,542957025766925769,70843795438606904,101224505202454320,896461607533196152,1761922622125530520,809151017099050008,553709983496629605,1652572058934045288,1318252528013691240,1632941535777277880,688674260505807333,575886438278212347,929368493838654656,779560859939373507,1158224281127105940,1133159115318112242,335135153100158448,1804217708752676889,510418852881108582,1572469762863575400,637713016839366912,622011459198090185,2004465510530495068,152739060452286537,105524771947801125,1688713595229454800,10353322849926552,103552676114915120,647325777609480500,531024714861907320,2255190678086058128,312358565268300999,1088704661226292248,923037644299840572,175684808763295350,1171451793834611400,422464584982851566,600829782973690544,571492358581511994,1108173378424531160,1589344866178357518,2293950067221081735,1045117102206613008,873709566594361848,445400037560388855,94191522272062848,34409987040403191,344164309402181310,239407549560235009,2478689406005817915,29530032419085747,2067489136914988010,1140018636356346715,639053482565082924,331452556244739500,445290504715847792,524891051506671645,561706529193423164,574699338789384186,481194151073053650,157518756948596967,1552249866252240379,561856045354047414,52059101329010698,2343097135493542350,1223796063114168348,1150679448113871225,526598233108760487,236617449848851725,2156098248167343615,1611991129369561806,1787323791795489822,486084641092539024,2122155410538248043,1474429576389743475,211568513530312707,2324098172441137056,667211259046691052,1318191630417911115,2224842981353918730,73206958447386408,184674436886376261,58436849690098236,64941926161391160,40110123335095510,578424856285113978,348147555203931567,962804876475703335,192632336303277816,48344696482558365,1249369999919043961,1038340601255948220,1084877324923491582,143905822318827330,479775267739578500,2095580953355901528,353590208109759092,2169142389234353655,1904275980126481647,276369412412200890,13600065928644327,272051841499093260,275130932931541616,458209969163525436,1825497529270382520,869695358087312181,1020945618739356261,704047560665774094,409439765772020242,210774405997140380,1625940568825798788,520845306998238632,771371244367732080,67335380449678530,785725071250904750,203248092065000099,1162008642144822552,780077187692184016,387391147369897853,1974531634576898040,43654022047167702,145540354138386260,1369100276541174888,668758366861701455,988381490231122830,1240934436263927643,475186345792813790,678827667136295967,450737177707703484,1436686722696571605,1252964363867747568,1710501357389731074,2335526356122727112,762352672740316985,1768620026520683820,539234011453122591,778317052060185195,133071063926655906,598979229110931552,374838144447875075,804144354820998336,434717283838824112,325933490623025342,537833038375490130,280308352742600960,269859823521151743,899698705550410590,1574363740630091831,728437368608167128,2351204429939870880,1470350889383851773,365682182781844060,297218691212857704,390048157447545534,393807389065701120,526095715254017391,2482680062348856333,1728872028808666236,101713919724652977,723193045560183720,858277187499625188,557511909228320361,713197093675836976,1423824847474098150,1460594774902425645,1848360317892510464,435771539811189897,1505806619636241846,883862686067863554,321696047914839990,182303169260335605,894391131276483921,972062667904202265,429241705146959940,2150843074104148290,1105306147291154055,331331825008194072,104240800044163517,786999620336150543,1164899521445748390,565815000360998696,1692000141899043366,18637130114741442,1491243977085873440,14040041517071710,40121762467560360,401291208591004400,1290670815704664078,1151018673811209792,163850123410233990,1413162020111003478,540365266120223547,247277200258515225,890543430850229193,340619993279083590,1186297483131826680,716447422617832434,1263739954996691334,2154995276639934852,864431940282269340,2348934848341434144,806432236621461738,394419524701911352,414297683674437912,206429193181750205,1560814269387859744,244395154721593746,956911589314091270,217898583432717590,496217135918234220,1830785887005968334,244438759795338743,2347917057084539511,902954678011660912,1540616275887757720,425080986670065504,438453542764177134,33592859294250995,335989911934828050,283904950702402260,1125682393831070761,412907479163181045,1170450178353159896,1702779958206227536,505595808206768460,132817932236019620,1062737181615478240,772692754127113080,588089456805729464,497277668761840780,1521808545122669445,1811851007118329624,439741612016267394,959891995011862764,1142977719439396035,16987187506144202,679611202804558320,1190184914543241015,68764590875736302,60705067011554910,2642139784991642787,226842406362331786,966529713501478605,50843884901335088,1557704526376521240,449630376983229456,58324694988272936,1020867680366953580,404923085675374824,1263258802169745570,883400921226167712,215731636947416148,2448537717080761578,1445059110508014148,1248881672016959610,1485475301082249015,1412847175045685472,1379266311307047201,1645964465771944092,905510201554894960,122133139454514522,1479940012701017385,507227472319151532,60816357910311654,608273843314540900,717259478148643698,185780762094445419,2542402353500542575,911694932664428742,606979679293443285,1186362437735630232,455851457856353184,2290508564419284903,65042854153579962,1084243827420154500,1101411062873102232,457731692518753912,395788180606367745,640804238991635424,185747848980689000,2090041286822610750,667041641422237134,163973791558575041,299049357316171775,1410524002875425025,584569058890929908,77426725986018193,1276742401410522996,921219589498628472,540184784122687240,1188968873224224288,697941295188237270,1496375936512871337,476735698955020176,836971870021210175,90592651962310275,1362572014715890320,572628163309081608,30768658196915032,76935520908864300,135461061670779486,86560410571394008,1157492980673317170,475437810007652855,2849010691613246640,1241668541885891868,993981226431874092,263484092019291049,668673291428541378,19785559787995155,141350879170384950,1131010657390508400,859244734669606368,9653146521880414,337920940151784150,659827576609617732,240835429512352820,568416632277803994,2087597045024617658,479564014725303380,244645062928759059,1316212284181835754,1991037020339654784,596390607276118608,818913548733834365,429495941573705998,236844736796927112,555792109054171836,230516414894069804,1770873005934925785,55595831690425228,1898148378390452776,1129469404055757912,272947924784427764,356557624209730880,1267584851217485130,1510471157700471745,746436203007304765,432758410911973044,746085565441467990,756794103015574083,2588088830744695671,8380053549037578,97784814999697490,1117741019498436000,952501247804234016,1623265832915349357,488568090978887814,1399203597737250528,901305165196724250,891740149177599288,310142068660401282,1554345004414072941,901786820557119624,627682552874602725,2065691152084122423,139053654461919906,54836196979090064,1140622707493370265,350134632247991265,343289834167205065,228438440694248720,1227545063126201673,408474760704776910,1581633296033403690,462004960134189825,2314046926437570342,9626922513686312,192572836433787360,802761611191469275,4862621073132865,55582732943948400,416944904773083000,473780207477838654,205264100276664105,375448811308149864,2588566740196314789,2137130395443509382,480761474956432191,1900010715311236020,1637299097646265962,156089943161066046,2469007385174990952,1357478425269726912,704181574258389400,1892944330856874848,339061289684834997,164412943169828861,170738777248309025,174835076177912445,582887340870914490,39768291207654728,397753691744399280,165217709593833294,275411844424343150,349915332567817608,411958105052610285,582075654788735086,1677849059268852534,2260613416344431625,1771260050828753457,1084870516302471036,519180738164646024,13042878057017264,195677931774423600,50524958629144368,63167416365933540,925924731307770051,712577831260799668,165463184335834725,345068660146825035,300516827180965935,1943960339689743739,948331195938379170,279266464709656925,1634631918302029712,203369262019959084,366964798585241288,1215101277014078007,495161546836769730,905544534408638332,1602863931159351560,1451222894174321265,1241820397464655176,1692145701185545755,1038420732844415940,18400700231770402,105165479300118640,1577761511723420400,104420923868587320,165664083043552891,710114590302262110,858672689401590021,1219899507779032384,256070475303124290,2756899720292991561,280953486609950786,738832149162407706,80887494730513859,477161925681217080,1453315868334362460,919111227913617168,551426075155343332,623693084058932016,1033724900381635280,1898425763162249694,1416866392175260338,670157747232180712,1307928625654629412,241016640687529875,1050350538541065608,31452030203884674,943727412705038820,571294304273164552,500448701928318080,2098389003022632831,516781576474246504,2880671055468529473,2399811582207520503,173631266211401970,1768788923796177801,1217814125202488895,303862378993081978,1713076895326794096,1648898364968107470,800203356414636380,166633307081577728,720523147419245736,1980120346467451168,754570013188148340,2276445242402024175,1694559975139398843,532298472767765596,23235224120608722,1859144929323829600,34980802437104451,136564339623449742,1821178047890201360,940588880522718414,951574745723730225,2134315521028223880,295150431664452396,1316398835077448616,41150665622608975,329263156535213000,1176345300640807542,254207157170615550,768090721859781656,2742152256121729104,869940592575689655,621883502602985272,158216725058060013,270327352061301018,553366361528133188,806238450087315660,155791325536247560,934911883406729040,162064945956507783,2459477645765644656,118995403725530745,1637544373312889592,152009328727217424,102969840853030874,307237861430923353,330803940915065115,815778598287528393,537288650460050823,1321302728601442755,915416187531848532,209928575021817720,375778339856658714,530888084161555262,107292422634798330,214622388074177940,854116989973338150,432353912223622515,576690560598234594,1489240474536536076,1230717051204285897,221109243956893750,350444014884623517,358506514191595062,720308663260789475,121611324360773762,453419139557619930,1727482515888660888,1678195124208491392,175051974664079598,860830627582803424,1028948520530603580,577122342051639105,1866501376395577962,830287485321503838,124982582025781884,1767441803174410230,2417621923253457232,237411867031447215,432855981704306511,722336716050055692,1483264495531864605,538215214097060752,156557792675375756,1789543684962632640,754550491990031394,595299852583857855,1975598970798135150,2816801163770954967,149544644030485163,341370612834307164,101170003478636950,174567358744403943,710684224673822040,1127688879719347520,1865555093762003686,38193639278630220,764005647281793840,278413965364212081,130428398442960546,927043308280131657,103673449959807695,328578201513770232,630311749208798376,371702668300682352,1942900220239385592,311398500971439405,82934984991360318,494719850759588442,639894380787545856,1081510243140080368,89022133439506080,1013971332528568377,645419409653290205,2345145784112538168,270360238051990014,168116334118843760,612855116316042831,629753102906037612,713792522574549614,146453344986134193,1464787330468890050,188612696798894476,276908238452747874,622953850244848056,308895133415017752,317119606496723430,1171403702808384198,856312688371571265,1494591057077668848,602234444704792065,36409435874309280,242771586193633920,1093189088125304388,252359139314910584,594309541555406646,2105473056046716230,7887660459937971,236670737705174070,1315064794607171500,583194334820613942,485770937003826780,268435911850081623,452624743813531648,2315540178814047318,696773710639022373,1264217782261884720,901089935744103522,327326333872933676,2386163208632070784,1527344863516819320,337825885903125560,87520924473171923,1233456429887712864,185664226911648328,904630718909270801,2011492582524347055,193070230674068554,1275649420663295475,205066628336175879,235438559087617248,171332277403750215,707381224280767179,60318559060925514,703837790568817030,2675874860192400048,2597023853513579160,1804214575939058856,723304853152823196,303562155075172295,542708066653179466,106185583525425960,265509654638510140,303215480972782439,61772128889777544,308913788464363880,699816327610291570,2946153027928728294,247029234362783223,695700303991724274,1202723589287541192,157619006847604070,460371362017211904,1412461775874195810,659663849622404980,618654494564456878,438212432374848915,289267205355288933,791365126535770904,2644951686665943105,1458518699449541844,286620342848762740,254274336569815776,606606203184753499,384405454098701448,1414512060887828250,2335558791121101560,300154053887056937,604196479472137692,1605401609898652980,345720327478583154,202782864463422375,339545405631218265,21834529114653264,36397118588277840,235203407796480417,2352437063241466950,2233415722331271429,115483368770064869,281274351269615362,161565754602894966,1603179901593480440,2189545604649300765,249570718065493389,620811395413651616,1190271507704444232,582882673275417450,1649234637899556752,59960409024529724,899559961443510660,2311186153051711872,1609790060445091560,472699228472366775,535351156290605208,2433696616690180472,1981054885423442724,2252501721624588255,773936774469702546,1906934616590876607,31016351869839198,103405495556186940,96085856575671390,480511305520742970,243891244473833488,62271651895759509,849555771562650879,688631313590474340,1157889060294777711,267328665587229431,589314191795696238,1593584202315753438,948101322236507720,2643183224821627504,1949050207532139384,500523187017949821,216014491314974683,594310919369091900,335650031418702698,633943385188828036,531075962110482165,163246638143903996,135242110034673810,1678513305856901415,2040283089471623521,1703468242055379474,1323557613996380385,747373658181639100,820935699922014075,278266798531338438,164728418599564668,832404539891799892,241467201871109760,30470445246025144,266661723418308890,277837445242368459,444808586042419064,1932031658344750245,588649714851513528,1788884378914648524,1494646217965750536,299491030258926003,315022697411685960,672420798069960753,254314743439634736,293995566596959107,1843169849328437766,2029425751695995550,2738612628257704443,1838209826443783356,980062690771234548,1310419398431091599,1286542116687411800,955984867483775928,335837900251608062,2213053270157543944,158904149587035804,2383966214901791100,1002894673351526564,434714162248397556,527938087484541609,1707084860236653751,311227452424186680,323092651737800721,1067732208885886983,944335488888059706,1210113904294543692,602631860631770450,1606761091036002204,550680979652750498,28263049036842504,424017451212519240,178935366851136090,1193104185506112360,812785240344941505,1217019346788541796,1173878231710142056,925668595514333700,795440433077732730,1766026702668128646,1731806030924080074,204605825414899455,1630825855193105125,165249977960638167,828369078206235174,31679945721205904,554492644464517080,207178970441676020,20163332351004073,201667349781690870,288144824606112100,376104785446549152,1100037168328839075,529293305658046512,2024546929270724607,805628425915869876,1541781037039659595,649451154407145380,1287036310465042803,300828596963869668,156371528352323937,183370367199447282,863691111407851800,219952926911584245,662573860712747949,2303317008438084576,707860914436111205,67912421275731540,2037715576348233720,572416995179723926,777303297866185008,1401626790031546230,37390882045359140,224974101030083064,562529847741918540,363135195451532128,755795981103405291,249852923479645290,422104353478561878,56137578558225120,224588050730398080,673463058824153832,447669549800664480,854044907489734176,56531421813951582,2261636631200368080,273350781044243020,800515455869008020,1072044748533179580,1771668939184829853,724547781861168433,2731579076551907808,2632026192733305405,446563848103474722,201016486063127376,2487926218223284432,2996304313204658556,818265592988718780,618966343160681970,632893449589611772,76413815370181506,103961075480995779,346594984344955050,1690838766232275285,506714391875246646,200020135259391398,2742543522591821964,2121204360572053120,1300441324832494866,480560839442614872,210123584222864668,26434090504313996,396577709032824900,2503161636226506264,3092252827736561814,2715827485179451797,1850135326945555472,1558119322305322210,135439963931352558,1236171267638011564,2418053395574126448,1403506457870147784,1236765594359714650,228332132920029117,326243258169162390,738488975797731258,1289495892256307673,779801582834981400,2214483348307458368,1948759559668809174,423825246790547172,96471721179627592,603048886007148250,474804947559368727,741359134188194232,106406276822750165,62739719162650356,1411879120401448350,852380262833945160,1225085803756782672,530424131866602912,1631145772798217768,2609377780101125625,200758941094394908,2127945848976389218,1680586759802828052,300629331635729058,205515754400056340,2739683654692287345,1939107821079915888,1289119589466946488,628181264479634433,3128795784705066795,967292781901521411,209200362817454019,3121417788696227223,2813909857756069203,2247996043421789430,328468114586889402,983390930914989835,425037271393964310,59043959435664084,787383660186575200,1919888223038972685,239895585190546488,1599569653805917920,1452607974103484667,2550932351611803000,53462983591239534,1069437254488148520,854104711480507636,26256768789849028,1838278945360716600,988872719362265406,1448727916944912948,912560611606327926,227559325612141964,987059783145610380,2137486312890031248,2105738893480351536,840066176147588195,1087345337052026328,760199322219866955,617353630597847529,2336203551937680789,1499327525105877897,512906311950236844,389994228201313740,270042324784360176,1628165595314045683,210320989592555172,2379441890302258215,1123458235452930975,130222101630788748,1706097222883108587,2879260919627224788,135189747117041742,1126767640870779750,540357613863103032,2623796040837921939,808063297523471934,1722358530011905074,1324777224176418375,117007630041185084,1621535131287306599,977945674510074360,1693758063370266855,113952964295128275,549890307627759063,468774245374601304,73744265645636854,89317110236523858,893318604698859300,1022818340429889248,315873409418442036,680346716735256739,1054830952039446384,473356295413417755,1448045222789039958,383499989532800016,1019940065397606255,315002273988538896,235672476758366730,191273656091873115,27954417220830087,279590258977388970,1251812315380570644,291395500745918790,602530541020453792,303734185580308098,315882586758548828,398529760563886580,434716162553488050,1273687732554510928,171408793052133888,879519441792710124,357408672566440896,1645526568862287990,102580214037760950,314904486511945294,152414581015313058,305386886617626456,1226825064919115640,1771433411633823712,637611270454868016,170753243268070388,852126237751554396,1057320013288272345,961323357536156781,355991260969437266,3194154247176581427,1030575405533760681,458341446766504390,153969196198637508,1028709701575709652,442740425401218186,24965864713352976,1248498177764908000,5344435522326726,35635418214462360,534618997198259400,710145946529005304,2088835215474831120,1617138577743286302,393397474680330818,182035566170778825,140348028181136660,1754638003810213750,2358211510858059336,179869560908926172,1663198968996378306,122541172577301450,1021365889467451020,204678373032874924,616791339980871828,670013710317977868,393976896547328451,480396915786721230,510961154278903056,135991756320141194,1431700257993689955,357925486572369291,2501700315800284515,1405841018803220988,1166672582591919852,154044488141484558,465842158233871509,837810333872522290,365584099225952757,286861720751977902,2329769415918490,23301502298811100,326274347957649000,967385572635387267,1787705406810346420,3120157160534564757,1900554291909722776,1335021954974051880,142942072843539876,3202022658780745533,2611482380385931704,194458450254904062,2269052221799961150,51004940984539542,425110533662464650,526250986432324136,1662294451948099823,1961990933673358620,91595741384557592,1374160176934610520,927431344917453894,1966935159219660952,900647457104096340,247412900156561088,157487261905421101,1216705666716688482,1631908186012236114,1397020793187096945,976323017820015625,303732595757069070,388987197853872490,229709286790145704,427942345953766710,2364523134861646465,401472416397572409,1540467295962651666,43451771900891051,443397161231763930,52861078924334928,352464514212316480,638299003286505336,913875518253858192,794443647250572200,579926842739533808,22616526727162512,226202026208404320,1635039379728463304,713257899191003475,1679248024634570784,292435360925071805,33213950978830626,1328773805149568560,615157276175974755,2253937829792289081,1961644231791921156,85376991587238258,1280862726672696030,675646800617852030,485954499546428908,774856121550285186,1644156307010163128,980161658866127820,277863221741153580,1217884979236417205,787565503562216556,446579657777445195,1011128906439906576,2121190402163423580,728830087345589352,66730265415955435,286033184857905150,1141142056457198130,955722138148937070,1682402478118499230,497993648126513565,1892160137772694468,1301378964706884328,1049022404145892620,1185074661664691488,173778234574236408,1512985230347580129,1036183602950699085,738089901350079180,257156427246485265,571551144401917300,627329365722019278,1828984432897615152,943643763105815070,1285178881552568104,2124674599557616092,125328145043800496,1457128722836291121,818086646264068350,902631495561355160,1397632490351960912,1088934438523994715,1787247894289000925,1485780078979258475,115731194945283468,1500931568175753049,2258109709277560635,2797254971564812326,962533335991273700,410193102777079020,1778393844950385384,282003051694058016,421354638751825172,647908756776354120,963561778080832512,1172163991388161184,55311944282261880,442566869542672960,11310055463086165,1018069001748829710,71463289318869062,1786870023092805050,2004390947856671409,1530758803135952425,692127959478768170,2303663221712325768,321081976293462659,572678865309827828,1216283004853584540,345774468243914022,498271200210935109,1315045927604152149,98689635854482790,127549807385999105,1420747335150037752,2494703436667390704,379292338628980552,394204173013340730,2035883659415602535,2067337990899799686,148609063168864443,82139377415765752,410762867804537240,1770498528231148200,41181117915779064,1098339503380440960,2183326165694814408,647930235580462564,1068497324868854090,294955334330312160,1115133917812036835,170406138392799072,1420279003735850400,2167416487055691880,696031362820556955,2323735246889280648,2670490901962058312,64262789564432714,1928192785721282700,274100676427158804,1179312816730059613,857987043576215352,2761960241823428115,891674921460801030,511847350444256157,2114843904957278502,713383401466047710,2907498660822948591,860280810158128770,582754263717576002,2022843522214081674,522040313881826487,635589073042275789,1941111160221403275,194712330506311371,105177761550445775,629850323730355728,402401964588182928,676761634983184700,1087129496811239910,2977883727927604785,1794240017516558630,807832010436846561,775199808493615295,5275523729230792,52763666819432880,527720966325080800,1162391042240229012,2897255255640602265,1061890384700273016,69799830870491029,2629720504340721336,1328184395057175256,2554229406191101380,323337011334597747,830524131803410638,1086171076325782674,331579734198491982,2505061948289157180,1001728106069238468,2566499364505309968,1573375134144973614,194433271051218906,1296428456526743400,1121183655595244656,1059312580343736445,1872957704508667875,334843316702212724,578680130670630360,671122623646558458,14338734171279582,573640712957430480,2901866261541964731,1555613597042494140,2211556651214935188,1047658053664679319,774615111132135115,394573919710815972,1433701030928716275,1352658173882617705,756048174965925303,675822359089611048,77270889746059294,105931709074463685,454065226274748690,28187940615697648,1409621076579826400,438115309448734182,999104246080433625,1431121722312934056,1165540175689976415,706439243979741384,1328654302394595730,273089964927332925,1394674986722335784,766965441747215094,973964697637143006,810565752572658012,194269884427170370,2043435379729513464,334116214366537278,2227794852899424120,361937158629946707,803312199476873085,422827763545411086,1993455943629743502,1709122170261344530,193453405184565231,1360938116425972275,1013211554789074959,36683291030700755,587025667880972880,2526318965888237891,504212473389270490,2545008565179724812,216024670380040599,1766572004998835850,1990289838531388986,2316111290774639330,1609897398924250220,697670565542610048,423856285036825410,805387009806329488,778804458695076330,1416784666227378472,178645789307706223,1748687393975908428,2084348588529128817,2523653983842323395,2158068565788979653,1384876831452844428,85040377699711576,204364763646420852,410266843638090915,979534889603282956,812369061461051328,1114198660213168635,470347109907097010,1150663901484500460,180466418784796100,459517526330280282,132504761692739712,828285493645184800,315037023533556840,531181988926838004,36230218313775576,271769511030085620,623644159746603624,353155128247980720,640503785074734489,518272418409851610,2379719722127260884,131321571936512022,656711371015718850,1559931923414764075,580238123933432330,169330544998214055,2371001163934274830,18701457633018885,124696024309419540,1734207395767647059,1557273884958959384,2416843313116374765,552552280138545560,1258911610873008812,554925570513758184,1553781202921333806,1995301047078819528,631122245688041280,725850819804685720,2258555658509358467,1075653520863168030,2151370173222171240,480666135528531315,944965237623718518,68299784383144938,2144264626386133699,440904116846046726,339210950303396865,11020783878196,192894020690070,826818533721300,16538968234554000,55138552941300000,275736060298900000,932721936340614472,305671203646978599,2717503905729107920,1887365869972186700,1509434267402922348,3005432084731353224,358347489717364603,737886997120305468,1335407683946507480,2846330154033018516,1258443328946223744,1852130662776701097,676932638258555,9478542676395450,40628693431332300,948151430836603000,1539480524956292667,307991937876182805,320104962367495140,1396360661741556417,339795942500633202,377610178609151380,2214759522303987822,567487518464729990,186722307538401491,3170969337038466042,1027348854237677637,44392894301696481,246665783692500750,228750445180634366,59873990028062049,332685310448863050,286263255783397883,1040925373724487675,1484208520587118200,1689966564408364890,1379488884302092304,101068563209220801,336947864670584450,1997954249597328264,292956688437736896,1630847351285046294,419101050158588147,1313672492198715930,2031260194160609615,1696629372957880473,1007184215801338344,1195022453437921836,653797458142418870,1138692648156746670,1129033956196432635,1363947264333255452,1468868133291369096,497256142906474190,1424983262636156776,532512868947222420,1706255441771604219,2613495227243861254,1229443281757358580,110322407839929096,551698019872845720,369582342198646836,810584957478589080,777754928956172960,1470873720843836442,782911557396419900,51439295956981135,932293646676303261,188012548326517715,2838321319820709456,806795270744670711,57167379801645267,163360792948057980,268210020547240050,1393196286124373517,127100844809838708,211867695971068980,419192097311790030,1492632258063986200,1352307753212813928,1948876869076828536,1533405259686092288,6159123544475205,184802426632662750,233805932650640263,132836532560032536,181321589621456871,666069225171850449,1231591815015897300,149585119121657552,187010437604048860,3055856455067854572,333737537419835104,2201859094804950720,362533289994426255,684455249220935134,1076159920643451318,840739079763399762,1764418879975982755,887416341533912032,2118491704649734785,2406105741453425893,1483546438801188456,2068786361848694760,1712791664975614608,340548261887022098,1011503455937944668,908647401290331312,1090422902743296795,543758849356738671,1942063890988221406,787396282182863451,428384479868537664,1818503900889792660,3084679229747943699,2128969602696427956,637227617670216321,425841761883476148,2133884610603792120,722996745650289256,155602528959345863,36553500319930596,548387327573992260,289775359900991020,1232828154690920046,262710065766087650,956215095178236126,218084986366232568,320766023484079110,449295603252828934,2055338630325555816,2072135344286449216,1677953967817503468,804346732238390280,235047243521642336,38853973400336582,3209977975139307,96314209826486490,1284387745313922000,634593263766240720,899991836696857288,1768943749108188320,400270300522578702,281413721652708755,1021590120249479619,2907394907806035552,643757923791400772,65465018044497942,537294199739162910,3329134214956814232,2012402900418660477,609869331059899230,345421328760470491,1454127030944300760,315452480990560074,219954777498267826,1885617130384033080,50059874102444064,113976360349262005,366421052285830956,1100444211042366618,1147373751466383112,320623847607366982,332261198607920220,1167579320738291041,119761471799066738,290168267506664088,2902129136224435120,427689828193178985,1318939593341860695,1568995808043442360,348149074739998104,773783577226344480,1524701600581291180,1940798291892225882,667316711343339630,1372185167972112648,164169478470376342,632681671561086840,640343287650206930,233705545259715962,35982975490867608,89971254910631780,370418220427341630,1375259415149624958,701819847532419610,57310485296262332,1289683847091008430,2409667798142490885,2772316872053447584,1428310565385124224,366656083675241765,689398289894431786,1686195293044812450,1048598730867966096,2596252268815077798,1299351205178197512,273373582754794328,1766732602478584230,1989046731224381409,2115022527276025800,2468880574401839136,722641316597468142,874613885765414360,629105115952235472,210007730170620312,1800341929305132960,1642132575930590586,76388017512502680,859496757077902590,1228811332305705498,392557179991171776,94460842772126145,944752968531398250,179740480504486779,1898322282071929424,64647131441603084,2909565846132836220,666805337574452640,1985040203144153916,928701109838583780,2662780273104267252,450982514691984342,2116682835294859125,579706790247180342,1477059372464227191,392062057718605590,13084058263545230,183204794650668700,1570566638992431600,1360275003961417910,1498605654622256008,681233440862876481,2522128689173113800,69871541808643962,465881368614336120,1119023987192623605,415907852512616354,122505080514162975,354533666779098303,574820976465337385,2932147179073521792,1263243584147369553,1828090616251774920,2936867147822853045,514305625154821864,330347455492234233,1586551957525109880,148188517860918560,2223166441299587040,1056952625997312198,385738074743870316,1798790760726737360,133666508328236790,2208066604483242424,91723548678114843,1179482299680446910,531678691250844996,454212200627020395,2688774761230709832,1096019255446481830,1368904252439357970,2221338323445383205,150564258915728950,602348633146875880,781853748657347907,2229452031314183868,118328360635599318,11026721303987895,183806622797577450,735338232519970200,272544284308053906,1459385764611600792,1251316035005920850,847705816469625228,464028583975133462,2814326247392335560,3312328277959797186,953254284824347415,180237731777278469,1587114170195886486,1784704140801451290,432521090248378962,576408553155428625,689552395859634204,2058365637010726652,180596017547934219,228639202404186922,628892172986959950,2299855302613416906,847409428664217129,125320782796048738,464002170485179266,2079445833680290950,1230914334407876536,313611105004886499,3348237302040883131,995128174948921182,314284173199295880,1953564071627492365,3160185282562668777,1749791356308237930,2701947422816974752,430195374316384480,1393786410873287640,160593981477426938,120203626977207840,721330896344794560,92606064878976390,617467164154267560,952134496362965097,45499122870097716,530903376396934380,725187082527414510,498831990601109336,910239923839849388,295273077032466705,359637903546637822,426891428615290140,1225686813260251080,343219073482929731,1567446361494152676,935379156734461992,1424138552752497300,3103829295357986992,310314905226559743,1958921433771709374,364076722098258056,932989750653788880,2608115566347705582,1075822063018514091,2768186163225136968,1988112658491264578,544713599447013465,832465929049541292,95118447433660755,626655970739458496,3372304792408859421,1023024981415432170,1037266705834781778,715098081345170628,1184930857308486468,371141569916736397,396637331498532585,257779381645642478,763818782595528728,477164846926338732,3571341564627626751,3476659715514301005,1402690673382269985,93036656404885445,744405295932633160,1608781114558313712,1166403900465993320,1148164035826444299,80517879748154781,41193866209376020,247200378664114680,241418059140412890,804847892636562780,1453036704741623210,1032280565147420661,3144331801538910144,907874691715132920,1168160348333433705,2047924306348395750,1103392801170365830,211166367773841705,810111703597469175,1794280289803825480,394138861612696056,2776879306920043304,551399909284950828,2520793009359089010,25916542073796285,466567786271542770,356269386437394921,3105302920875102048,283561252797913545,36668114474982501,2200416944811639540,405851304061063338,552860629810366206,2910542416801169440,36833653493247647,1841958818927709150,488999031434668398,43021534592950428,717133050688623000,1863607163269636232,327007681108897095,524208427022695728,2292017314073288067,997966026345077160,2011039223149262691,691415155513040685,1502056028112388925,592890271969861053,744791271936259740,687125461673411982,1715198967602713020,1105340606545730480,204559810758407205,313213966656058200,391576033202079650,2121776048407554161,883390385080551636,1004264191228760875,2875246910302625,34508121908193900,287610675538017500,1387811424528949096,892217774471343894,551473601196111720,574867820539602566,301351900897569945,401325209557335834,2388963302913243732,723875467796980890,1605704721049719816,3148139074135308024,1255507303032818532,1287179763374930884,2803970886575511695,2296582371601586622,1020804435899361565,169519669567006290,1130299758297557400,43437202634440895,124124806957085620,1959697571619968073,650415338156653820,55641168647815128,417370988586050100,1272638615354893773,1231406278632096828,143937605898570060,1439590580884481400,1859432361041442700,614587483774153239,638692950627876276,306130909471645367,1415452414566444246,1362677073574203500,353375778635881268,1213163316387030144,914631312805060893,885056294569685364,385394791505531250,1554010282170977310,279259399119925339,367599809836024932,341002513784044323,3410532422139599550,1052139777713070879,579707553703647242,67219040429911439,1873861647699817251,1745850984940777260,396880443126150948,1797525978601930689,1253314243833127128,534265374001060317,1129254364788152190,2390456052297531894,1694955939636171565,149317080795930846,1666801115402459154,2428080061294754860,679975050785618592,240030065681233745,1493864527802282140,600113476527435759,92630263710211920,172803982916762139,1363358693258675256,162989617377885996,13881591885710984,138836510035076400,1735713773715043000,1344619838114404656,633494885672678985,244383857575254645,4825297037451920,24130061505539760,241336379426226400,3056127125031081480,815565331764072135,11052373617874940,165810164884780260,146200449211216017,242294458173698801,1169374021250524815,1663388032838372715,1370024534657731740,1534532978726101494,155031496844129856,2577880634274261841,176917900632377355,589813601262612210,1012797557610828144,829747084293969352,741837668480547732,43452073740912045,54319531348376906,1358189096206763850,1086021758494728328,2158559117493918224,1010401314612249720,480106109098661748,2355050129878046262,1530242794277712018,103337852571822188,1740768966337394480,272287254309275250,137373147767361801,1046425357115048337,1081953117318411036,1278344276681237400,642546207521991108,1017158204464122696,370290088340973368,761892869073673162,2171507416394312880,526002688784629356,1426050369793716336,739106590779567240,251996890778042059,402660845777368680,2098146740597357304,845580777371241760,331202187515243448,571888350582566412,1821707157202718535,1162449638705611626,1725826402544975037,841352408914947534,2439040711629025266,1881529887292644060,259327139453596230,45360270306942034,2041512767559429930,660303646224600495,152454277840646775,295257075227821719,418630389341826995,104815594505676744,698873465680863840,214257220700002040,2260502795396114334,355929061285628334,98285831343745477,811820435633874780,2356442639359668990,2106190490739817383,864160752007433445,14067701689244958,281395392530097240,2050372756179496735,163024522283585763,928849085981304579,94534548172955031,741831118203731976,28935652997180920,325573910105228010,2532613421149028700,1975412031949591296,12154790677348896,121565751840273600,911876981236567200,1121363953664412073,2942278396989572328,2703221383462046538,158028132923788695,3110138177398562961,1300428302281856848,3123753667940651848,596422265422032171,2044858886548016220,339008425651340052,1837045205507631924,177699582658051769,901137764359207494,305732273437782090,97377069557054353,149289780316548984,1535999399535114306,428891462373765540,131689995296837240,658546416691423320,1214751591713747457,335696274966792183,500188955824479186,429155196495578865,192160032739769349,1080870466840993272,898852390283360728,1093653211458053970,170632899577299270,323686413528818592,631690552094990835,47460177846696582,949342377965378760,613411139013809050,173284613250966531,474107686189363068,2636999095943274839,179682574192015308,106711048378650915,711510950130252660,247493357369560356,1217638815182451435,1335587254532150308,191964851915546430,548551110604856280,1550437563229967412,496636377573365910,659703789559953704,2032905392903425075,2359717458899216829,56098216576507546,586304846141951708,889324349744184036,1054139264007817225,1572750633823646154,1066038784547801856,265116247556016873,324889302433864896,253299784711469910,21768383313678079,870862275522302440,612056383241763510,759744753783211664,1671486207000190140,1247256723092566740,1690023013892015592,35860231534070525,1793272770624686250,525875286176751080,1090388409045926384,697632174751235526,2320457359333933848,2025565818853948355,1237405559085730380,365616575557004062,1152124213261874286,3583168535129433579,1898629229567719416,293024144183325725,121752444674247597,1391658912348264720,298456173476386912,2639081993972893464,2690537623235056245,574925788072808442,1002066289538184192,14736472693073905,147386145805015450,2358521046187932000,248535248768075928,1242856801032165960,946163885195733045,224725762637114522,1137045677215148575,3359842318434581811,1189478606407791138,1474206757855863171,119730547176641010,1596639040836538000,2285609454507390144,3091083351755565771,379681979156285304,570963855972951130,1227289252236466440,868772204459986386,1364254976629041707,555898280290543476,545254241289897996,657106798049480790,402712595448399780,341616159004174088,35847262815718628,1075573754631194760,959334118779115360,307172362198467855,1292667948565638291,362471734915207202,970798595680332314,262844795218212930,234395390764505276,837037808376456135,3345110687195941608,2890374220782281079,360075021558260445,2000042350768301232,2027851539607566725,1710145754435611518,1344457679680016112,25272559100117520,589778352983141280,28827764017589418,205942381599990700,823888656226325200,1034859175447826835,657385802560361938,600646664453592924,1133654318617362738,360650492659071059,1991745843608451920,781905200625939510,1049471273930366904,156632935332448323,102185331474495693,1273158834190855920,1247185740271018788,1128747870678310479,3310882443795088512,1425886539974228268,1416238884252856230,341792182019159832,490798602379838664,624322775079283635,407612513580391916,2325661094229453160,3065023221338296704,268402277164620018,238970661529966983,1062244996604347320,650854977021048150,349230006903527361,1552357127335924440,728614060322502984,410830674745890216,2108337861749255640,538962151210931040,470576622260756068,491880557583912750,704343404415352530,149601975568981790,1156598509522012095,1435238146539049615,2908765341849097264,2095318759227227232,529422995035219380,347529958958198034,3475799771924472660,127966750908521106,217801518196586263,67403358592950825,755654337543741159,2853742892229614385,1380283260077034315,1811164499287476384,759187425019600375,1254723560744846745,2777297133774130765,328197664139369546,746057967790367238,2090916262009310940,205070530761928888,1257703849430848218,735552100912972616,1843817558668122834,1069785881254908360,1449669245305531712,119475495748643228,1741846644289222170,877306916669205996,128125125860753510,77367016889804103,331620519137510130,516790847561709068,212327493669586590,6071271218268330,91082133347582970,202433775224471400,1480871243021556726,1495227553859728996,1039623059229590970,73356810379256804,928631076602001921,632739932919042495,1668635549839928304,1766894290697227725,1253813750645660766,360075610605627843,2108611052834609904,355240260393619752,2680573941848895280,2649215512387398927,2323405231430832756,198840487246637012,578504626696786344,1193256682966356420,78317883710909469,174064652082556180,20242573070367234,1012273488688739300,971818516006713060,262862639379601191,538486570244032284,1719848800695048635,218690386194576204,2187216600132533400,1688173030827548048,2553926887555105455,1703016123689845392,568269246491742956,2294047261443715440,1875643904560840548,869032260886437714,682192439265285204,12780477714882618,56810237229766800,284091757744532400,1276968036738994659,280194122576686782,854203758486602013,2205495165306817560,2114655204388141952,84317455143586722,2916696083825170409,654278343021255934,1423189983104962425,2573514268620360552,2389302844312013136,2127419337151998810,2887790066169428679,2260404590625041160,1052967369757890672,279046262891731608,1081928724694562068,424333139391806184,795487143991064190,87507855074775458,50625370147739835,911386505204954730,1418392788262758954,293238632663510115,732965586458115896,972403676111485824,2045016249963007965,1772249989719428440,606467672789166200,1428233576279229144,732031331194843780,179831028341504711,771622157176662258,1885757152534420,37720509333217040,471573447398427000,345513426672700456,41291048415403116,481797410767526700,519491419438346666,76966922028838656,769778648494594560,1688833723853026860,362782563849072195,1377807939953710818,1010308682333722752,1904131513811260075,1503318091090943496,2602934823884615520,748273319626155123,348075060845482125,324235868444111162,169166047843103565,2368660946615141850,2642090258234870527,1352294912534805624,1494092594774421516,2085364304325319878,2404556422274174580,1115847872670742056,631585210028417046,578521038571039572,1042655148917427060,1826080573418803100,211411220630959584,1967670334405165740,253497260623925212,610474544963741409,2195155631800046790,985093215184438088,1111476095939976912,2086090009261313088,120514271362779790,1687438841549995100,2314130821751614635,2922309773827345545,297304202523345243,1163260135023881724,429981749323910240,3366106539809919976,1312066520127576492,524521151356266198,177182198404020840,2835316388387030400,280849281491936472,660753092518496406,1816638425847920682,50577923182609347,433586377531547100,2328497077442423064,1282249878582200608,550305170637375597,964270682878257378,1661654893099419280,1747025240423026560,76283037742024272,2670283648475238320,2504951337977032168,969113865579059520,3122768426037960834,102487246296106284,797235619935772920,548226506208910092,731431511702314650,1156887848787382593,709894284039980382,264586599089425338,16513416904679526,1486417288112721900,2118550345270090854,541470396004447248,243905942365266817,1095841234657768380,1128728982247835040,111477735489838029,1987125709928328832,2858330320071219225,285222919353374662,881649648434886905,1570577466457974864,99200260525535812,1736249238063033610,312207236873380215,689494349012734280,2997172273506821921,1131992075956201119,906855959174887038,1676989554549886312,1145867397933900180,780920454934561224,1729966007945462220,1669103928335954412,1587294656632320642,198156239458734900,1981841290991339400,107583169330247466,413744350411003948,991639335798978336,2791452213625321320,47580142903309016,951736705334294880,2560926657097776752,314304286698466882,1867543576055221155,464212985075484544,1161936018861079416,882739768199579586,1491798188063046141,1055755858357444995,110631213943775802,1475290105999217840,1844649711825717744,1231051395613219728,173368791674067510,577977133309441620,1379932664133186810,873484886410523532,1039450810310230563,1242045504192807405,246007070921802416,2152863986091823060,163515614351659143,233626512987204410,777789911546145125,246993505085835849,2597711521038890805,1878852387911184924,131481132196585356,441969722951186810,163725000474814470,818739774158979150,984019439751911298,219992541095700686,64554209039887500,645632556934075000,2427865199092333208,1239721672982842116,997046402288339435,491743170511518340,2458155714068249865,216362182066617824,207344757685404054,1621288424141261160,362023617729176470,483211126433610576,1332357542434720536,1411340070855067564,82301998029339582,823135145410784700,234750619818477396,298197342907055114,1774315848685172610,316877201312445508,88207727127151530,294066873628278060,1092288409387073297,1967581106624339368,2415387018233358045,324229569578866680,510234192406449865,287331702358418808,242515474353153242,2684452520637141888,1427198620685973675,2002409894514221532,93947807666536965,626406189639425100,541420139498768559,1138894002972745985,2171024546521681473,198093485730348033,849090585991878270,977246580254122890,197688968996017720,659530231547028756,10690100019207990,53457957029554950,712872189418174000,168882713351480940,1206473334272392600,1718331175533444680,1945874093576984490,1121168964974625732,1093462867920697200,2137280795599095060,1575565339307411915,568849057377044152,1084131368189999532,626154555327780420,1277869982889716015,2836306212769932840,91574470644715544,1373808367281701640,437608890672426375,3913044978328839477,2297215114575040218,2734096018630770774,3150895760498266544,3714749892592786260,801510219283414185,841406127795932463,318319284839391984,2149399616061253032,161877377790255120,2023748676302543400,384874800025540815,328563583388653417,589835203239154803,1806547969612069830,1208229792949052960,1254617267844313890,1299679384495003032,1106148223423205417,1276317111916652575,1720344170181527025,348248617921891889,3116980419131208072,1083064461079663962,148959960884239880,605624625928742386,1502518948584787968,1533765046744041832,2533780406110003752,727575473645848935,1922389034285577015,3298024166724745542,1123329218826405204,1815762972806968530,817936920589778460,47070177851338332,1412301209961706440,1120186059510988680,430556330443692654,824228557175884215,717901887295035104,68130149573403324,227131979848605480,748274647550476938,278306320686823875,741206970663016128,2092530846370261644,1151823459754777527,1459582952987434770,1549089237914177580,2548293094789839915,731372586097829168,241597126417254066,2147827362021917280,197315754873188670,1315620464328389880,2502148517035149528,348635424176522306,2877455021612624383,113605691704308345,1734128984171716272,1536954497084317350,1020381332871002805,2326128291510593368,241143265231165880,1512208781525357160,224168912644439836,1389945856004456604,186469206450344550,385984182267511740,1715722355739407840,2570823743810755887,1682960488540682688,630386757012479964,94269137938831890,628547734772047560,786378651965828870,1896938090927907288,868583049379491330,446448370654903260,1802676457981350048,207983923688892200,520031583073980500,2977945005610255320,157215078029583590,940137978893155916,364418955145123785,2584767326939006592,767682653970618967,614379605317165080,1583239523112183192,816724651807828830,478178947401055551,473874207244074086,1242366692914836675,207094904730746595,414246898787888310,995169204556112424,2456845448312628492,2302737348866711310,2118558057044926672,2073759147525075225,760060396806225378,1865857071965412480,469962485955553320,902929941095769356,133719001628840970,222895685485137450,2642951736024170592,3041883866295093160,897399204079324296,34593707715914475,484378550253268650,1467383037909392718,1248980457425310450,2039975179585270354,1599769930835269074,187859851978823220,65716949272888569,438173236005296100,1198321612594228176,2466048939085691376,390763385539267065,1667588661581835565,595168214491300005,1338457167960210354,476558157819082112,2358667763957751152,2323740199475052342,679716519207235650,1036865101900243924,3145255377788488725,1772562975832485395,1617944018142776564,31347243333873975,62703092746872770,1425598311291719256,2176530082362256905,2498349637412322936,2572519945136483880,1965188772221714136,1896269352860963835,1550536952414236290,2432448888833267748,69623525473262565,99475818139436370,383311161785695416,532973140919910666,570467617515323612,463257977691282390,322422524800978443,454656971638845474,2155735752171132579,1901276912515099540,1217177158221831840,914215792656887088,175518091643546075,1053252777727483950,2875294228096060248,884533490984105670,2587937950785809139,281687743540311858,266337737885585338,761069117593734920,1605776485241848320,1228058748191770872,1463874850543391688,743939992767498060,226182190033721768,1031232884080725045,731834696331951228,553226646771184125,318362358469552144,3582066226796047980,1482157608640716160,857958711601822776,101302862526712668,330832111096252782,599733943185497658,869010078488523840,561949264427237334,172781738233016937,372793401579850461,569614581766030270,706893812332696830,193884506191944450,262218369127212656,203573560046434227,1137596033676828210,116609487033565800,728908764676499250,101090310734938401,744101163942056648,791411858718795530,676673978873881545,445665163092045182,1534813731694939292,1080625319925282330,1051746460995974136,1010045429552294955,591681654019479393,804185034774456190,499252111679792902,694059979763552715,289754254004106150,149082905443156415,1491032190356062350,262691772681697582,360484417594037895,2588371746300233910,932819100806726908,193943502286149195,385922222267299674,921645973503563536,979026944520250840,1252634440582726425,1712657526707124204,196999725492676203,771809450355501810,1635444283643877285,1009899834286382,80802978096865440,505087311291589000,305227545130426458,979834020726002490,1440286965037353328,2623159037091803106,845217057107060919,721688315763796384,4028197792774206645,767856214849816854,1209421147819251036,393224596687984896,587117583220750608,618599465753532090,847606062457616112,601708151551065708,1946349329477244734,347244134324300486,163427488485854220,2860369370192384610,3105335401945435652,1350658853203787412,753839059679430924,125045753991069140,509007462077933379,989408681203462503,648597341514191274,169482314589970596,982133059698723345,82545543072403761,2586863437477318839,142205778408768678,143555136142314824,538404748327110150,2130686461774464245,930170565564417798,906674020241143605,444248642746922689,668992583324114690,1344703422544362999,124415485316254361,1323727095515670736,337386854978946243,1477952659944042520,852363787960007196,599626394699698692,342009422126897896,3582650692385596647,648461527432702980,381700437049978659,2969182983603868430,379299914022144609,1049253968720066268,1479592163161593175,429167247629993256,2842904391850012212,413466202409441622,112340371427003979,481523843554979850,1623073287324583143,148159797818841975,592719310618057900,1944226417601579382,2626516866102269760,230267361758881233,1856883266235140682,1037297533456972476,2249923324777621209,208418586456795875,2256773208443137098,215411356873677515,2881748852012304522,2253443837591860290,1138226159074959135,124692923777254454,2635976674013592912,83380400411076659,1874962186427472015,471252824169588540,1958876309334610458,308789834874344574,166641916896668241,577885170487351158,223401941543393800,1340592432868172880,2006804306595298638,257507556306143718,1105872936278325228,59377087085360640,494875760576883200,633835116795222126,244564795428206227,146710911452591895,788048449926657885,2494500651075966198,35416364935657946,885528393229998150,781611682344444638,2041052730107931810,3842939763086540688,382098569222385219,2471078644460470548,614552409198568122,2479723514386459040,2355426132867145786,1266608193135173811,101475254065222844,761166809991521970,233339118195992025,116680657885285260,583481764777481700,758076599685536910,133078147369310379,2043252249040481800,1191954023035999992,283482230407979016,402943904935477092,1051302107028882165,257026657677719570,1577860332934447410,322175237095952235,2261393492247198060,2943812678136111096,3582673596393130680,2256863362749265669,3625027063943455136,2993930809716404184,93460016646585228,21110149989311620,211129840749387720,591174846566182683,973388527400846385,390818228577776328,471471408548936190,122939759061538286,152261687304539817,1215686207301349149,2979593954066322292,185564152976194590,21686503733587764,72298039776889320,964103121167601600,574866514913322090,225450587997342820,2254808090159186520,1328235371429883906,2073795395986580504,1657620304362521910,3125071232786623925,1177957725321156428,493756720956348876,255538335005420321,2140668828201969495,545899690535123475,857625370734261318,76568241209282462,3446032159946343690,1065204417544191036,1023297658393608440,1431239263919420850,392165087871451410,1326936873866328529,39095206845094662,3128034986483557600,1568064356334376832,616888915295471928,894578220665066286,455674664741764062,1305377960118981735,6553380420165302,131085131272410760,1144551787651171962,242871178029897110,146498719970683535,418623708368842860,700157000844278424,8842139463937265,176866415201633700,3354085369350566040,17704966704488271,236097751217136120,874630746841226599,2868868349748876204,395055673866242730,679755235503018732,2018275623861595740,2804369174666959104,1609443052992604690,3820047619658660370,313232555934628182,224754445839042948,575781678274475742,193514252036798952,1935400633695589200,3040149154059523205,589737160824227412,378073082492661805,1449382581275853315,502778903663781900,654319987149809934,1042248475057823268,1364362941696613275,791365487995400330,1340438220948643740,367138457236107552,2422789736717415234,2727719669989752714,687748650503420754,2972080040915368040,169375493953168868,2964465819225309210,273107425574000907,606986185134699940,231141983884544130,1326050130079684296,426692482800037686,1317689349297645390,595315475984917170,1367313365023962240,2143069699390370163,1275647744140755060,212318862683264105,1007077346218869768,356179946302304950,1130960808321107307,178316832382015782,509544392882652920,1241267091472884690,1175149782172495620,256197495151116096,1928409353119672335,437788593835231704,315042810424899932,1187153420874269905,1740852169978111434,89398749778259392,1701237963887587268,101786472090072981,2035999741200224700,443595821964234564,513135809254576512,1820134212146378706,437876002126266616,2501923296342886560,2496402348248391024,1219098171993011688,2084703509117426238,3948462492601770648,647469946757041780,1890639542147007501,666946272735821454,2411683069978081536,471501926127746613,486946772327464095,640855071866925597,1795830937594950606,431204056261742330,1655329375159893012,3267313461379807800,1291402766779446456,3257493199379251536,2476614763477721568,2463146165006220042,769600717408634150,589321799137065078,371396913283315117,3778242691591896111,1298350277838435402,547794451214534670,2211297477874135315,1664554430947217157,2620916740007571666,647105046888975235,1760892781890472800,2016949415329064889,1782235975955550990,2393323430144242491,605692886018260350,601160103078266340,472921955505105168,478771574652221508,36174093548546225,3256098794389329750,948877773044476455,332621435791297908,213371104028991291,948441328016341960,103913404604743635,230949184298530500,1053503873856913630,655923738875560704,893420942776533684,434242644920881914,214352271926298205,1531289812135605450,912583257725901208,2349706468538380368,1087297971060368832,1241944697296603530,2510073063850787708,1383987912143269995,3636942065341842375,516605267512391588,1311041319607210050,2638974455258456358,657997824340094014,3735693219234878616,2056189614924240985,653299076455453580,3841629470971122042,33443332611961372,250858055826334290,1088310428281927899,2504060650082582280,1442689492491661440,390909070186044858,3475205068581627360,479807746566274062,325876871491911705,2907626293241937316,362035883808799056,2115179610310635393,1062820340411904888,2442580166645492755,339763259962423002,276004931544685721,1553501849619800980,708055131631555152,1231959268983185715,1241253655080330216,1277997070874624910,1279126554822865385,3628960855735721301,1871625118449595920,1760845314423857888,127967702071571603,2968034496879302316,4029155663008883022,1608139904950103960,328686981556098366,435611894495965482,104792535047385004,786047288848508070,2188410319681382475,216915815051644460,400600817651829402,1344695004195568879,128586542872018154,734876740329190800,819803007837342238,2046117490447742782,405574833639786372,600046460946683619,480211286860510350,32944311505698504,329486349269422160,347542709830080657,848861354727244926,3234994411116951420,1001424678712646121,22411915594591272,56037137637728180,2522001893586075900,3770982815398013475,3386522966727835386,850780698263870718,3513688334032537488,799737266323614136,320180198566140220,2287301134899877800,280794821056468303,422221913767756065,2022606948401765670,1815941714350514720,2884790538094509856,2377600813995540021,2290205623810154175,1099252802007617005,1100777173484304120,420713463827104596,1927162468589303680,160381182722083080,1283217392009997760,2384535222713112910,364212980889592266,516026912513186748,333922298570797064,2351716067006614290,1997547381557386225,844304696471143370,760826767765301343,144072551653946145,15951673953227727,265895991638813250,106408298638732886,213564467938868948,441587689142528376,73211685848860603,1773134236411108235,692644078825165725,3846632061681535536,441830997748803176,319396594757730381,638119778416436760,525528061372605330,92501951982461214,2228660004002027235,142663910704610097,1871033501265224640,1085488749856134771,522314649537398718,213307670937294825,1285317187293198492,1784711043178160960,2803891433332231548,1180055726520168610,2641692412733354208,247567916592659691,3106570283040673845,181279617799129462,2131157526707822535,2100458196700149430,2865471553534532192,1532985196374199995,804369725419461606,278592400369084865,1148953334072327955,1395844231489848753,2284437613125068765,1515267678010852752,2955996585724004403,375612684611777546,3504254700543708879,135994444863519570,2266869221568843700,1016551008429485115,324656923339700154,358894352527808658,1401874486838716860,2465171948898557472,1797979273388962552,160874988382904445,327941156982538518,1752682449269420235,61576379648373186,410562594128265560,877980544213518956,871405816718027898,115473939108704370,898247414887556860,319048938091630854,1190170405368970968,738676316474486442,3046552639532885745,68748691224146008,515682186423166740,1885208161468422285,2356109205444954726,396197386823065140,710745269103002892,2629764473122670888,3514585553479987128,338159109720313152,2959276405592194800,1818755177504748520,1025000024521779036,881975267412516750,122756082124318554,1023100112588513250,113043739215868872,982485766672167684,1310721308947747347,2954496536632766363,2819245841400824720,138830587692707301,3789200198515011696,1021235527039867128,17558693241273291,526829093845040550,304376318933767909,139884673711950732,1292434635411861102,870611684003225128,1439257884805710720,3515836613201157896,252924614933815321,2890941508304172240,222751860171429881,2316937380970382160,1893982403725852740,747024348196006426,684910125558202278,31404356645899881,1256336895295875400,1390226990869265748,3396578497071876792,758234824937402838,3167025626422116968,311572784042939160,293794830415421563,212193991391147456,1591660810972444320,225979883126610015,2863214597270022930,1342250175077100690,1540646568313996230,1257203502218732265,425592992169899976,2960449594247939520,1199919380287043884,169229358637395144,1080794293026420201,1605871223978906088,378782691104953620,580825019611068332,479764931500263484,3372162687120429384,2598416049652511952,329853310383056430,1519983753635288952,3550980086571405951,318521421088963236,354042042444190104,2655658083058617300,90792836321239514,1816091082999759720,316822031821304606,123325203227197399,777877721942023980,1103547435698762075,690868890420771666,1416808531828164192,2474457158394925592,169229402682067780,460406484167277858,1409330022439698392,332535203642770677,933406608545405232,2507640892562801170,337103368893543802,1333762231464017766,1086873008335353432,1944857270476281245,338715290184633525,3214398735352471156,1396078181987727511,209458540278303690,2932797217763599340,1418593632159747200,3165250085435213640,396278945231145328,34537141194118635,345415869304531650,1416029074203275035,68384323572063242,1171048045816477602,485539523778529941,912157676002128414,1126075810853095515,1276760347026843771,2203315056736949020,29948781227187078,399368434697216560,20029993145422710,300488527176576390,183888718521984112,1149452232651513700,2046926764612753272,474537342767590230,1017745270817787351,1818877732324352928,279822406785496926,1678559420452327664,277826521254083040,2959767065431116495,348964000298967912,357266711855446434,843043021820816824,441192052223169360,1716036129534300441,1182654921331640,7392542063087750,103508872572031500,1035221566829275000,7334178353745199,293404777000931640,2186090731666660923,4195990576654973658,1226564528171733225,2939159554404894132,480597386708931943,3486540759045385617,1747348586244064964,3517993959492071120,4215331620317290356,1051354796866982652,1204283001430245905,1724980526288498283,36302514149134625,217842995710014150,1877182124780795016,2281031914831447428,2161229930164662126,640274012618262540,752210826809297214,1620229444353953304,1445374131858322650,1764589417911056008,950596866750175080,1620967172867567685,578076864962075424,1288040575467496065,3197359672450717626,743568410352068945,542048614221925552,1691524402860219282,356585438138772955,235387694992004842,958219676474124300,3944950107291642501,2646299136965718276,1871079150267073104,966097680630898988,2217012115027850850,2938714348468425624,3220070407645318871,969888044776531998,684086948196523995,2671502041098629620,1089025031974898193,1057171057629500394,281551137818708511,2087077751877777330,92925101463161940,697027266481335930,348544586215323688,231127787397068472,577893240178829020,419918878735655275,1731481149849267978,29821053186052605,33138732283751450,1657148058078127500,3140350079297728770,204342744784213917,583910896385604780,1789952780051880140,97981567880624228,2204866445616044550,3300193172637590544,1312512316885298115,1210749724125781320,145157442463225645,1451759466812988250,2144635786978864575,1317498209953978584,970361897699766006,1847033743382500806,325464286176697150,283210508430284998,850982140504124808,875941290913423248,2213452588677113275,462987057780088590,1188950405993203399,211657493619252301,1070769321776234064,694013395531865252,3962031725530993040,1469159655618934251,1301411744674905099,2220420344132645676,684820857949145253,596522158328603140,27315778715487790,218554028209405680,300442778786176902,39219717031178607,305081036553181350,435885472513483300,1545369783302966784,1161121414398397677,2755057020395195957,1834147440451937340,113978439609761907,584124734102208896,2332365200089078670,383290211658602814,425279080193127265,1930025416088078358,1627232336709418170,677275659456769155,1073231012330987048,392293628117655450,1876659365707711516,1926166442704582617,1199051776707159504,5884090278019439,411938600237770550,544350535970854338,3685225826871732123,780763024612363842,238943122627661652,596085328059778830,1971021919690080076,1777072500474294972,2285199559422675930,515577556690793442,1805014530279572775,484922043534948644,1292412277110088104,639708815170618512,207020819765957038,264595241875113520,1134123325161432480,2022855370695367943,2769350487595224925,3247443265406056647,445458160690023435,2434270619620327280,1883568295371195465,819143583424300707,2109508456115235825,346794535137082470,2831425582389691548,1794806056659466504,245632292113877298,2291108128665584960,343198500040844980,358375310578618323,513943634284847874,3211425949954609773,623410206264111789,963915740348752275,3851443268988746211,1116203300424501144,290000010926729845,1995947110239876075,1470923459376666705,3203521401920843816,13553880752646774,75308856291186300,1054457255160535800,4712779426574265,141401250341090370,3771176491994440800,829290619574704572,420096141992837772,1793855686108203045,3433085334558544343,1977527940783816765,2238534095072896995,4213417697419636386,1367490079869427560,1850806756450675611,102428236567453716,75377256191333859,753867703897758310,443767842628237260,1666552115418791601,2245954960253448948,694354916534685777,1845231918062441652,322450286938859150,1287340879809516237,1706177830854139536,1745920455869740752,3401654908919740564,340344150642595245,1561227912922789312,1161883107616260867,356721194949497379,454568554508460489,2625938064997655,157576138891993980,1575959945112010200,226822966726743170,1029786427718150688,1972138779924075770,2122586276087677225,119237908372843776,1341595401960617280,4362133299220424934,1914599396855947770,1377097863169249344,423534461837277222,732128199274631586,117683397694372158,3138618890423992800,1596303627306099564,1864505204412828956,902740383453693911,1694139068697533856,1525081779431510625,27482284015878408,2198859234929516160,1603456638042070595,2473229887617036078,227890535698322475,2362930260027498378,104686152476913965,115252704344291652,1152671900156797080,935462305266941355,733855830885616224,3716043641475182613,463092570931105630,2108167006185583515,1253082179208453230,1379787950667757195,235631068235866245,2695358857897003504,2717689029218075344,1468987534568067720,1234319692506146289,1083863650930846512,229984020199355697,784222479002782389,262725889196571975,2222603422007758758,332714451476247178,1176908756735956168,2760492425532815016,201016325447306380,3015623073303751020,3320683532877098451,574716618709830399,3583378920446047791,2640196897052731110,2466618169270949638,4386797893029718638,1595599565246433915,770389118751311240,66061089392202345,1101156123857631450,353625321749874976,248826131478504971,1849159560283029288,573928440484355055,655402222220225165,2677016721385465056,881424886113360250,2115430031334700644,3391142429887544010,1409803166294369585,1707401564371405890,930947243839079355,180940115449282164,191880617039127210,904381546968414006,463306780648648986,266054175802431852,1419262576878718467,326380851147855390,72772694242253986,363908976922844970,85107572798355999,1030025703778209669,1545703412346120720,926912947227863883,167646620933109488,2515013632397722320,126951391374157864,759690259805973330,1997913269997975648,3362183829762063944,815764504433652756,1714134018289295730,3397171793098411170,1719125136216107448,801580508980019706,127799324744715234,1042268374890718424,308571593183818125,108300316407982373,260685876934194496,570996260476169028,2866134607950316612,107983348243123200,215993645346723840,1107013502651422932,1902952381547602746,615540175886152896,260029456262863055,264212298566473475,113229994850554482,943700956242669850,716798895659257498,141974125683285465,157768694505453810,336516622533821247,961595905591571220,1526036622073470339,279629680963522940,755881832627637012,1456693744318712263,119935059313005294,2798833333801960140,425715403228295385,868072723582728970,204644786430263991,24955271256094668,249583785702363720,3328198130949336000,148305170702622448,461455893027662994,1318757198145266490,496534090112712810,1266315257195341420,297943704369706284,964122137085394534,1758115039680628744,152575647272380602,3522037969827985370,1715781043536144908,593329336770320658,2659445758841869626,3057600017022924726,982360536226684290,1634066233857301104,4565734940176142139,1865993382663738012,231278434291551108,331164005203667525,901869284197488618,2873864698765260144,180335366387101843,1333543621332493995,950868825005787075,95454872844130968,1272889700805024960,966187855015290378,193838689539892024,2423284450326775500,1162771852073006735,1922460774166221926,1094407553479032990,1427303579264470745,2030089051324686975,2681760919526866920,1917403348693464044,520751733279272715,1766891920797406431,3388261207924011320,644390920200502170,2096567432296994352,214156263362163100,197048972619816957,1313822691391893300,1081725538722884736,649634108325955468,828343091023132710,460992784913460236,124735209296481160,658469132083153098,833282486028814128,2885636011615166352,40475245150789755,404802588275029250,1772271111795813498,3057582733063223640,442542772121764858,1239325681395475536,33622149979327590,224175416350254360,45798765004141057,1832177356524963480,3698541625406738592,504546867790929440,2057084923489758885,2547424234976941995,459655828778944533,2379428057531838270,1102273035306697305,583002220398581748,1590168204402598884,1472166483104034116,580437359985561288,840395476481154420,77686676766517084,388481401493540180,1926350568390087693,1559763339929318025,742863370585941260,2786651708577137001,3039449626177568,60796503028351360,304020068843875200,2195721636273495945,3000296559762267056,957014593219499703,3011400136746605376,1486999052643451668,3301300811317762560,1533697807516042563,3706921823708475144,2503717505858104230,1786566371060831485,1418093654147994840,302697747469832748,1679282861556011649,2650044890064306704,842232999662901912,149264333267917280,3358861748902835280,446860456689601836,413215535151534520,1236585137422762092,3532141053946785525,1166728008362943741,799578664669484577,309525359181123300,1793421628419973881,2947612185555467820,505585453467604974,1369951052626165974,846757691499651752,270336770455650192,3065160290391797240,204855822787468631,1976648078959661364,1666253041700723418,185711305728253585,1812712853380091490,429202732469625555,1154186933483846128,1217139052186020582,2561933191114089966,602999278547331950,1517091493132679814,1163711245151796309,1787344873809798968,1433206131824010636,639165445309578870,81561326082594108,2175236206172281920,862343953184692195,967343281370666580,1884143692552373325,265494067817106062,288647631450924804,578094157622890650,2049058906292392855,1645820433782207625,1214884733602038156,176326070248682871,203848928672813091,478919691672022359,658501595969975370,172505835600218448,439667494982514936,235650746605051496,1472998033864586150,2757930968071924200,651027880747323936,1062661294091793936,287459776243211334,1088225557619594500,941472905493184200,813433744059142896,314348207672112034,37722389772336644,188635089960053580,2913260416980444585,333588676984051404,279674169330543336,1246820494477608589,1741895568309298712,832583738650461030,1615443067458258852,3113883610203145112,485033761777406358,3053846037812663718,791909480159257590,285256871469753255,1267963682488242200,118615783707232206,2372606338903575480,904143252054816855,3234041301028865800,2720930872282358463,2094571941667217001,1433279989853228172,1500647764077435600,3511256398608237165,490586468971667658,2908018478987724624,500488861120050118,1512284078562063725,1235448329100469605,1839385011223348396,834012657016716972,4086873965001780888,3629653824765522555,1864161390107388355,270885121733277036,1079564098826352769,1488452140923463728,1266563140560065475,2201897843661962810,1959384469214028564,670333814546905824,314563644614269763,4900717117398080,294078965758490880,1470574527982137600,1323742597107392441,1919783618423459154,512913223515764520,46069220471837013,460748481022400670,1247375188516247628,979506448957121142,361380892945324590,468906249326859918,1485993026044029228,1897746830094926640,1000358679149594328,201640910334134360,1772092217618999556,935626601344224184,721990734652106304,1539924940566426060,3193574760653686325,2183357630860391004,979608280949913444,521126570568440469,1134921710463942793,138460779751045995,4154329932161179410,2901486593747202972,936598798217760018,1922213391418734456,462929283429248070,1230691576039305765,3234679311921278022,2203651663347430810,809067639557104176,445633336845395965,500555895764747988,1598115865313799552,2826953567867461851,2556786165398427125,1897328842246905225,336312192164381763,481311619823223868,806992523740778835,281356805515202392,2110432924957197900,1795117864181577690,3020468169037927874,205461373557895112,1502322533040591999,535710046808673190,404520827350410765,1348566802545658950,1121828345650899024,170021278969541105,954342903384518520,833166223919924136,3009945309908382306,1632448203230845098,464311922610752658,849563566537968280,101218033578934104,867688598488608480,3129706400977775792,1973467861147878129,658202925605274960,2065743545248719091,312363129578446305,484632549659329685,572737837064449242,1706700460388011020,42725229745026314,2991129277504185020,191962040448198144,2399816848761747200,135886661187174885,2265052619324806350,606065239893811992,3492983126792055105,1451965746069640728,1604691997232116905,711431051226021688,577418471232857613,1692243472192629755,1480405499791508416,3697564916867129805,2086419810959233228,1819333512745499572,1578088142978432130,510445857975295205,3073467204792511155,1914174658505171424,1101391511897087952,212832126518506330,5202677659197396,416264652657828800,1040787735379599200,1310835842548310079,131580806529924066,1281193789280256130,2657902878807030720,952164422430151720,2200721194595872697,493662632706144345,331112894706375434,130032921071205530,1079366710250663307,832114572604711584,652282657667071068,157540649721572916,514456181806967810,1800213639859936328,255487452754722636,3024918361629105956,225648426148093632,1992247834391474895,90053441452742802,1848116797926532985,2040701804857914528,1288142862150207148,301236423311675520,2008485627679572480,959005070524880772,25914168498517926,345564010596480720,2592043318848489000,542480657529998592,146520500505309147,2411574229564078104,594481542351070502,2507934844421271000,2854206406787160990,2508586964678500130,917401124583553332,826659221098189510,341936212894576590,75444007022091306,3395390195830074030,232640601366016295,4188036299364811890,1969775061306332700,636278836439742573,1046614368350564682,439490212442792353,133395475548554754,1342389562733747550,20687177091892225,1655173795407422000,1880726475601325604,1751100788492034936,339472732446707820,457121494525413522,958724632498986616,1186955666558305956,252203722916851386,776988544861909040,753643588537442005,3082017138414108888,1207576180572647544,274475114803131206,152331299806755750,1595304988710541241,718171240371206490,3317068472161256586,481832684167768478,35892029022779535,598272518009240850,769333581670406604,213781526153611194,1248731463316704,37466453392699200,62451605043515200,540217023521776362,1829253427141942935,450844862520034788,693020337060197520,513288652457401956,745765059233825337,4775091813596080503,2947483052483123382,97434918321624145,2196661354982515515,561317648354691230,104489424290145108,522509932687521060,814408120069294890,2594713289368399688,91980683762221296,306639127346329120,388515142555460565,135625247187279285,1424300581149826980,1188132944252020025,269452492837722243,724624196699274726,407345314255156380,963737241530071923,1064047557788422950,3958577303305430424,733091053769372142,1044757206159617720,2519079664046255196,2217846849029562495,719122280082283730,2556315832128904062,1296732164729831190,145060598929956220,1160624025386903840,217547245355293335,27987079386016382,839713090673030100,228104738358663030,66400864496731164,380682170708099331,1362028298278700052,3006169915951141785,813851495954937636,351522471633471816,1706976108479313585,566631284479178904,1932433184043676755,651616338585009195,186330912589941027,1750119687681108597,1744295394887153810,2350844518535916570,4142118860116732728,2683225739193126984,1163663812923953580,1965443990030654535,123720717917668680,309338825544395820,2811666624155063745,1238837906952446145,1618916161999224710,26197596503179320,589516460680103820,116356016370407657,258267472338518532,1288499982919413452,1053930231578064650,2096474789992921935,420010276741109549,3413703881909997432,1973186948857012284,80249733907017595,2369451821463122787,2852985767080680468,3519568981327844128,670981350364086272,598496291472405810,2062359041003680615,1984323721034699880,2572896201613083024,3103924741436568510,1573573968486784725,447695217860912385,1415205727097843934,2954694913948782324,63646528440867507,385270200689367220,2538013595730318858,3584467486909212552,631124683318049144,3479255563665829822,954375965527438305,3119600994484514178,333877588876466873,757882045425791136,2846628622037945871,1686091727760484110,529105293418397625,2586694390475908385,913330816318317369,339164137413418635,144896623501752780,2199761230462042116,2093910986384031810,2790376431087339633,1769214668242683159,1365942774854817660,663165054369725152,132720942648680044,1991051393741907660,477258714939585586,1260381725475501645,950363701040965068,3667407090780843000,1491357878893421076,2540093027023780416,464695498842996725,1858281345442948164,3474537914070042255,64582911658984489,620927660912665098,3447639977555204235,300029241920689659,1285992658415062890,3907342145633761752,632363221497679,2710450586524350,27107730909026100,90369853508923000,1804033702027674535,2100679378227265248,485555603359400860,2042355367655940096,380217081434335068,1628067726778940886,1074111453341963354,480132380277503895,4083892470166376466,568656213627206148,2383290677334672639,3315030452659626414,1158372816828518220,164482396251009723,8872052762596814,310558739102518690,3105956326559753100,508958538719624640,912608160680484039,963762083286894765,4423177536980740965,144179140740877233,801090332318664750,3080400197167600836,1869273924979768184,316821913362158916,3464572300282460122,236402538999290225,472861186845881070,740373423555425352,432678752759579742,2049131073767623644,1742642074878176360,1086330599802982118,2102113084388809692,1742775345775331315,428017581472212776,2016680238483394260,133201538449492927,1687934918234680248,229283283934802748,773554360511412284,27561722881599620,689124734887413300,1433631574392240270,1242569633658553575,1733107807136351016,634675135247950500,494671854557198156,95413617295157169,636166122913573060,3148089747762793855,1015341902686692720,1588291157815776954,1129558564324366479,1296831962779069632,527992785020283126,2162368152374017770,1619399089050051240,2525566136414775025,649123795208264665,1636120496966414208,3234953886440208920,643989689569823523,2527372870105925955,130526172651490553,843531122866732864,3269581329039805605,2629925206063884666,740721752599291580,1675572914916148008,903885700852241938,277444925777724380,2335592457709530768,723652314189526100,1160577875665922147,43267018379896737,1298163930205474350,692975646770460332,706552764383613288,1098644683563500949,497540161727776224,1179138732311430480,377363000036626486,3867868962648012656,2237165040936470580,259098526089242592,1890824579992982430,1224873148055634135,1936813473336407352,1130101122342551990,129855070369069824,702812838227977785,2275609497173515265,318236895389729772,2958499547898860964,4839662036250487836,3911132017671454755,2504215183082944705,193165606578910569,188985768896595474,2373042440319311958,325053431484135855,533976396272254143,1964226024544059465,241105324772725077,1015687833512334972,1699154453972069850,889097537697395382,1313852874786261081,529210709738047529,1705497818280340435,439684940716591920,1098061956390872646,4838178589118723007,3379381414629526584,2598309179111362717,3271092071639061440,234901772448221391,1025465772575751486,1817971581622804570,994183292583474354,8968634983211330,179393810444773960,2768405172203731896,771904261261582560,3091780158714457742,60804267257159520,456085652577595440,1462187914430420429,1304539410428791083,2443154664069760605,949084098025556380,1998706476034482264,193809803479922718,1938325896529072380,3489794724547601463,38407436848458890,1728537805223012430,1324164843312370755,2201971718519414590,1618726002869024343,1706659342690804380,1605423134876807524,443344026477298137,373214971485246324,417882655429842118,935120475388148505,354530937247245525,689556933023591316,439755921794831740,980519278340459799,4036640793643978600,140494174640802394,1047083056725069189,2339631796129609584,56290198788694482,1407420105324779250,98044535357155330,3431961347190927950,1906005583973015184,338177922355702464,122480313289408860,471353496800596584,249492918701068259,2851682004827295760,727580048442971814,210295621745234520,1324698934455005067,1615723611836293197,800597204036578286,749639710651674126,565075447571371440,304447213239094566,1367433998322224125,3107130070186256868,758288589846614748,465107657774502030,215395893729869244,1045024949650908154,1636697522125577051,478083921565783608,514642658716991460,1817911474688579238,255617655679720005,1346177349292927992,142201426742964552,711090351530814600,899205320905609032,191138343803707216,2184693820143786240,4587265188181374228,197237744908822390,3015610329341721951,839091042263908418,1839107446128480054,574099558755997650,184041558205675050,1457951468686930012,929849273465797476,2880651864652862895,2525915925240550590,2541916381552607880,794008858571417950,461915369756182674,427332866010620874,1403614638311091987,1367773284135146940,215913960991908768,4318783683540775040,3506783286492069597,1213126921371687,10399445168024100,86672163489935500,866822842243245000,63050326705105631,515054844812328891,357631786219287210,350954005323417447,111195686480884728,4448346565507571520,3816241208988420009,1743676892287699980,4117779782106500169,115701767136020286,377881588495834866,2519504455683477960,1182691846894298940,1513658571676557525,51058469968023546,680858985183363280,1759198689818895798,995039240785102275,305443756309488376,263951853794974425,3255140384912430384,1290483114336084328,3972518447446042880,1496393598270813912,4164883808017298368,179682636190311203,242328494287402878,283217512969662780,3468729378928919697,1505035165526472096,4370361246847360448,3031314121572496039,417852959815384485,1327302398559428655,2928351961195948966,1616280354282583674,457015569240942162,95969701707917540,400403871773635023,705721101888432392,2259032941919084009,859129453122534690,378490349718941735,2561770358838528528,1406182949811957276,1253623048515950496,447359706863998886,3879272479255457445,3513713619418053429,4852856988365776794,351014918576288703,149049653339358008,1850185059564267050,2708089011428526384,182598617292401456,2054473168942630980,162822413110722288,814206658062120400,586224171604999284,1720930295051521320,617885466402913456,423087896658414486,1298345869707027345,802183934376450242,334796782169273876,1655555741911403622,1029333169738745324,382487735875920580,3159773555950991064,161670206657857752,1616889704343214320,336684310041293559,4473098814262881400,2147448814389138548,626996620411497066,1305091338982758460,907414015800935430,42035234756247690,3363208809816178720,1889790793342183473,3611612057928155664,139133642560833312,347874435435214800,420521229756990072,4731412253203620990,1368742703027744541,803933897569779177,2148511364570310350,3229968517524534159,1703243728877153376,440923593653333561,2818453628184633126,778331891539046760,1542543231453564774,2232926840319809466,1873359295205726325,1472198119333369472,2109990739331953310,1386351530969976165,2034151433568794407,445217808299108475,654057549510887346,3622324603596426600,154455017438525872,1351637804496949620,959288474370925604,143154456139613862,2431260868465789680,219595042180059025,2016436616348451244,2644493032275478830,212137570458242757,428938569708056265,1359330269460125484,87995021155875904,377165121314828160,256770891705324132,619581568892819240,1679579895235871944,246645277100442339,1246438588188334428,3065547076193936232,2215481945602590900,2861152249285222386,2241480710380234734,230518457232167568,179545538936628848,3591325530208993600,4262189706347758488,1922559179536485864,851205493715680788,1439523074544747030,465431347168736625,517205641444757750,326732670244823532,753591909009226761,498174325151230964,1366332735417516720,55143441821242608,137874511075384680,2221145234314514946,611226357135658776,1695494986621323825,560125878008206155,3535403333058680741,4160842721635331408,414521536267699068,3759288339285387640,501094104100649922,4834983571323157746,2452041580486014747,3661683402648203696,171682719450676560,3004793841408926280,1297081957055248756,1223712521430029325,988292500719074109,3186382493412849630,1237028315782507542,1800313523656653205,196872442234777952,2133363774806935752,1588171424779904280,565540241847826818,4379577431794680744,1097722544370146559,758923707046208004,258760932744734220,2847328033849899948,2270193880900817305,3227456180455240680,58221483563570521,28272073962044710,565506534106578120,1386879657254922170,1001421627506459296,920851893745649808,342047428626533040,6426373892952652,112474475438362590,964177784105746200,4227114799444543974,1028565106742887980,1327271141919783784,3317353877600976675,750624119627054424,1526334105312482661,5020818247498287240,3652808007504096456,74858176966302036,499111847755704240,436587161675081064,2610698945178138525,577965312907680582,2756612940299443659,2602862214624214460,394430348432594285,1315024403437543230,3859368816637721272,265473853639090546,3376224911528983512,1326153218030101832,4187028223073142675,822626617841217306,3095063714782865133,105184418482018032,1402619819740967040,210857735770887575,3374110780620812720,448325219924637618,3709929229339405877,164237805321183407,1002084826246696320,2221895839183836120,3136356990361973623,3390207262477295883,826554445896338022,1413421034802489960,285411783747410448,284782162867763274,3378033167528491728,1954162945234508988,1258539236171475960,1735791215771010630,249055870461517245,2135009138392985100,1158170794409009142,574064172625715640,875118167568576618,406142636986734025,33319511149654068,249924944495209290,1566643390810359030,1936944672059696652,3308393848176694035,971229493391208768,1112149034669972256,1718835292818419370,1327224118270483136,4627444484902923666,5052882078995111244,2305045275528665935,86423897462390370,288112607538620740,17169313702674885,343425542535920700,3428085066384934236,556644273536606645,3272043116959624056,234683108847546597,627348322600886451,1485809992533858996,2197289428520051840,2265690041351018860,4655797057369032921,68983007493491658,574924074069457350,15368584179828060,153703397657982360,256201590089077400,800057713025567484,1113836483481399516,2151934575026506640,3150529801743386496,1480814678585235786,1713726948011061980,5007154358166640695,3158875950121453560,1004930693323105896,1287786273805848528,813547904064958107,1240886663273126766,797403589051172145,4516160747639250024,4251907153514611557,1006145937731041968,971250693531576174,3025622268538974930,442593136804759014,800754026666753398,552925413747016292,3171082024335062403,286951674946233920,852284033889597198,1078707500524086576,2369381413652318808,991513394173299396,2116344005464398840,439154483787720228,312400699029788334,3283487068008086112,659319283594955619,1096595073929918185,2487621783751886736,908496584207176712,559549241169392327,2868122216713873749,63459701944008735,174814841802657459,44234425294032309,379195376482946820,443757712715309784,3328561636121373300,2861617429626194856,233360945702327184,66117234452520270,661247569514908300,1349352124128360080,2131096706238728664,1074173691794295384,565498276902201732,613824389835209196,2660717529488013520,2697315536833704464,1939155439073003820,2054990605297050234,2754226044364642195,930826766022139035,1501896029100760195,1649925779128032484,643129690728470952,1808768715741940104,4745688087465875835,569900040946279416,1074812859176392376,1311300235901754168,1110333481145998632,925886832411223040,9070178970489912,105830771184036360,151203982968970800,1065249884205103758,317829347062316520,215968092500574483,2118212911338203655,1295830830689736663,458877440156673796,3978558831760285535,3311594990534131539,493348500887276030,1630614453531451028,134708094862204266,1347233754894452100,2537934705986454195,3528798990109130928,1420447735248063876,74224575706139628,1301717038468534440,1403906314874648148,126733393401095328,2112462664655332800,498771213232633533,4022970961338575680,3113653549091698752,824111871646320644,240155036804304956,121492877704558218,810044280861724200,1705951746152445654,4697630355326155722,5187802147426452924,3780405922013023149,351560674774996290,64005873792396276,1280262421516537680,3072385738531678758,2588557833847834728,2651309030819431000,2457196159968208890,170159563613426394,283631368238661590,511862547370807512,2814806107975999440,123833611685531352,3302603241828823680,292642055488246195,3828450916459083,114866518193562150,765863395255746600,2376044072548027434,1943230551807636420,407639276141481788,2341417614473205320,120338861910951285,1203524651644552650,2776437314359699570,2197194811830394089,1823816138518587800,533093940799010449,180296054778487866,1276556979034820708,1675257435521683170,2772679097986801020,2172687018715435044,563928360580065159,1053262082065849128,906304995335995176,2758974511260616880,2671303802889355875,191788470827365206,1127848853895007521,1826437698022580076,2489045975475120180,2596349499980284872,244187465657071719,759008030586772106,4007388634979153304,1023919971758856270,495313500847752805,1704876349159513476,2533719416560558440,3179273816146944192,3769556281215672240,326576334777334752,1633065800498015840,1735780899668584146,2116796765225911908,207638088790740870,692204982379934740,3777586799105252595,687002382280039415,1025961301388186880,1194020846064917460,249245760216209420,269523331625702469,385076708622634770,684645572245301676,2995314072117973950,939582837379982502,414484606664590590,2539414772071680408,497827750345404510,891515156740768620,2839297775307788034,1370580860030216850,4226725689195538568,132796748150909163,1180548393162867600,609288587700345732,1065942804140238825,104346358132265952,652238114391105800,930219550138232970,785841358877861430,3598752603898060686,965347936336417724,552942087281408016,1891053848633925690,1713095488667987695,494933094674177745,1552386284160595596,1692316335722701024,358804853193962100,262196102288339886,275622736635213448,614460637626323022,1152247891491461356,2134076999379498680,160482468355172541,2675008297112615650,268531667422787252,168569563682560266,2301810714994661145,1044239787244777810,653522420236760742,662122212727437890,1121205320127532395,1914099582998226420,3278445629370264171,1055176691447381868,2339347120384455228,5031092397628269963,2100856909883885965,248018674299439140,128556145866904468,964279272286614810,1096316082345606660,1941985554205519850,709920170706407516,181407810121746138,1814281554270052980,1253886470379218645,1232271926293053360,1816852839529778630,920618959243051458,3908894637490729443,1778561285778190968,3198620840173942155,447663587289552021,2480580806254889933,49430375286445360,593230968380652480,2397984418634958630,923404966324034016,4432167245125153521,1682222391626370288,1338905748868735596,800328117011210850,1394167162526444724,3642483257538818973,2919512413022367636,148325881378131724,1518872937619007550,265890299650317675,2667987104424254343,29291578802379010,585897138943045800,2276769450388668080,3397764748886291504,660969146545973880,1131035058084366192,1398678548732690916,5039416855801781235,570029070415389274,3903950266041208944,1085101507941982692,1844094914501316530,287415569832580460,1788324517047035142,191243507320269568,1116856945932022328,214067281351353696,3307265599031413785,639388047759040740,289087957716191262,1861949795751070335,703415115771351072,2303125919464757640,3476606712316617736,1229904177041276514,275045383540223991,3454183827744977358,2012989379925662110,1017057475517067984,3153091420048859784,3806605628302264515,769823869214828169,4061871299202390440,3062512705595849946,1325473582627537335,544779279903377058,2482156835231084494,583995319008936975,507800190459609867,337768823507531486,2488408389989029170,2957084515272041840,1159288202266841690,4151770684691318163,3241555385047419293,2881999818173093274,356199023973783564,3011709779853525,48192728728469040,180742879281626100,64513038212602819,92171755439791930,2298525187977261285,1265379862572430180,587529304488771705,1066052222880818526,4126524292134510812,3309475731876682770,343399717281487134,529344771758962624,2710639134034021080,226165543994381661,1438632991868188995,2461708825910135136,2688925218188566410,59148000269351406,1183091697187946280,2321005303118938080,3619980123132878456,363389907451079999,332008622112167760,69374670136289253,198082510555010210,1187021795153165559,775379105111251864,307439763221068622,895525499077686855,3200203719457608040,3007348327606320236,519873088632549516,109203037028743304,4470961469370059907,1842582276663758010,1044036746361574556,1596521328961071786,1482207051514239963,175565017142383454,5078648761379307990,1966964215752032889,1706517997536839432,189900440356330878,707134730302597326,1666601198783286975,951998120596745685,808435614169726767,558731094446138287,1985298303628766133,2500914233969220690,2358520070958262912,4750415882943508017,2528676319994881830,1705761661344031704,3193235580626723940,2690983778570881437,1316408030248805060,1471429317702020088,322596709977532860,96330036684652610,4335332586313761270,357396574373224884,2780059487158021320,1551056639133228792,2347873868744875440,2180711334078807328,371545589830151465,436630689232503201,1561226707676387616,1056414167378073100,958728421326517497,1446481971039132265,1909234767427955317,1007010193798437246,366603192883442725,697294603502415792,706524742387168188,4559376853140854432,2831592683516670873,463308518482774425,347549642797006856,1449276157875573525,297236260258713342,1274010755921956620,223502359668315940,2235271064670915240,993961757902600865,1530213513253316168,579564108277893195,3361009667413527030,1889206707354470523,1206753248311256004,187030387810272105,415669073324506100,2242527619827216120,1216575683322788886,2750318098982947092,387039343877323209,1090844560003093392,1642037282125615100,856047513884327505,3179897560097832406,2061362888991750594,2179505689852270875,1430208086892907815,388997014952359516,1156423405345367448,2451249201895612240,100253056723134424,1206679850535951765,839648237590754656,2381681833239774008,4944045328684019487,87869355875847017,1390220671230317775,2264982466908241692,1020674959756509732,3995373405130233552,373345725276074568,63699883751647415,143698057412924532,2874278441364518160,1760573141986530255,1371393167739869121,1085832444762287505,54909295929459240,329492133797020560,993638074329308634,465999970968707922,2100123241796684460,1966197720680886900,808304357601287568,3268405553100941336,3317383910103306456,3150747680691609210,2608212923509348644,792320415577238934,1045199367938379456,1118242170827417386,170173345620259995,2981857534340654976,1049999492747860872,2064679220036443038,4313442444379728576,570492914726411240,280317679231090227,1176006474377129394,1514148509357841210,122508468055509255,680677572230278750,1397087661376643814,1038253818091634082,3559040663137720600,1581578208674730357,4044954223138903785,2164858783354346888,584461494935825476,3049336579099700448,2027541607188035392,598840045754174100,4158076796539898421,3035741798972600358,1600590304691427042,2374041583859097195,4681245528713201715,2951124686022804912,192341214737286606,73883584517060114,2586209878777390810,274390532841384120,489517583758224438,422840759870277174,901922797028690253,4704641594482531856,2194329987787907225,1400016140443715229,1730078940000277220,3487072528978212600,1119047057178088509,200368068008789160,1335933899860436640,2199525258085468845,116207889728653135,3341260882641293778,1087323302099279205,3014034837104468265,1736905914702650529,2039763684040155018,2973346265797712680,496311015696302280,885922406873502372,3179711302019600328,1018517622300208296,365457536214643095,93043764838221400,1488863624163744640,384307200501610509,2562329146581214860,106902428301524844,534570786206822700,989222009459138368,236092709588958940,2833423279459832880,3810160415445833208,1032274164973235270,922776716868766002,209808070642037725,3776959356327922050,555125443556702478,176659721558128990,1657617899859883818,1336919960880644232,1531859057443404075,82280112326265795,822891290252483250,2194061465149066464,291274296978836445,363429032663982537,1192794677746850590,2970621540420235770,624731527982083998,2562420922287077043,3325985528440037424,4589917132273106922,2124047178437784660,1607814527882607627,1977768654449894904,473423561454850776,1265611794009242281,1182867332519778120,2194349183132918685,1036101291494447912,702789587622806436,689223471920392492,1011600447068066520,376469824817926848,503864928531053109,559911159968713010,831705311482579779,4633791210713872440,621529182616891194,310186099165619325,67102306697507922,111849405356379030,4583041139171913795,434350712848635948,1717113164695014555,773309438533996590,418067351705669176,784191826312981395,175101328997714682,2657464130578068670,1744515036743016304,183679922169315282,925332437161766565,68332484805933790,1366798962559828200,1464368269373204140,1219417464146387430,3021260936243258475,3843566401478679519,3643382108513663436,4621328167709340264,2532514711124661903,1113970258757936610,48906097380570798,3423800429827926540,12898542332569488,214999163047351200,3440361940090432000,207595497686005359,1845494617862513520,1893413125652370324,2273968059316041755,1880969407737577395,241569938718089502,4651168676015471688,2482355888960087304,135015453615135705,450100577627519750,218973619784058921,2126447399895739506,3393974674227650765,4521122900319020328,1148142852660168360,844360349342990144,1921944368341665717,2375284997048120784,4161116587363850816,1514242197175120200,5210914484654225028,1389158665915524965,328262465937172578,1757614129708338680,2513619739853556355,3163972847237164530,742024852643260372,164952573367676110,2309587418486570460,1875902341043196200,3540346603843026733,916018181047717956,2402799709345755952,3303199462227172992,1796433427749267720,467651946546818867,3058909049975799912,427532200635464496,395896715878834012,1246748928648539985,1104923915354467992,1052759769117959502,2639765396737884450,919369955623778379,2037878725255212275,3131640530629832864,2068471550941723458,911556498362034962,2064049501221670888,736662702812675220,4294125767010789241,3626451315616709238,3080507368055487138,1522288772740281378,1323036317161564260,2105914602701314845,2477915960199127405,332697496153452714,1109112092311552020,56700363611516240,354415752521345900,468579269698769685,1288003524667473108,1149819170849569960,206644001833968960,440569915993209518,356508913000054651,3412563802376891715,1697996629816700043,119060015820994795,2299742169143536932,1243402473557193798,674340084043180323,1600245726780262596,914046026763872040,3495834697659207912,562541929982759466,3131718175877787342,1593690369163178940,2290296541467392640,2383999148850239832,549179773491162284,2518326197681233392,1990762111026737352,1407900022719043350,1985463824425969236,117174930171697624,292969066564849660,3696172041810347616,602542341043206870,2178066914464406968,3049077864138952536,144234594346535936,1870563458483844354,1358614236307131990,2061042372166980395,1252027069853717856,2341427709654916710,1079118492274246803,2543954181899073125,1314610726623023646,1125525681501980470,1192491175328375163,534807318954883656,1010301980746805100,1497805189565141151,3852069843592364976,1712815513032751926,869985102767180502,426660867345514920,1946924337030089683,1844898187240772148,3604542115276528848,440204708212203237,285505526400749740,475194254532337965,2652977769293565336,443802059915172310,3260174856818948991,1054918668815494850,644140466817145308,750195706844927070,107283234231247716,715298841031461360,1718667746148288015,154270547622566267,607591758747216128,5038800915597612732,88898776547835908,1778167550673475600,727064048289841338,2145396298640407780,404552476230519486,2281453347180011886,1432829033403035175,2815385329028514848,837148921314107850,2322751303900857960,303614897967292021,1664531003040966810,1755701717137800852,268091312418291433,993830166343308090,755079946003220214,154047169535025240,1540637857232587440,2821503987034594884,712813510109989298,459397769497129575,987714164543309140,3030586946032323695,4238296743174323517,2525428006132585883,1504244618821778025,173552331394814760,433927592264810340,5494176128566978758,1021551679453064346,1078914729622142512,526468225699872050,3018647573146133691,2326116660488737568,218381552894799683,1908025610538456954,559781944342525400,77653303148702183,463200514137076851,2097207031581882248,2027722750579861968,543076424426406240,1130961278635099212,3037513877616840282,1311430658087946825,264803022984414524,629220223619617680,982742185023109218,3138453922376396832,1671911536646416518,1835514352423747278,3578754413253621665,1022551502835001232,255067815307870512,1275476244387983760,578038112047290520,892822963715781795,368642361341370283,1707106989210190515,156706566897314826,1439335097591580747,2463420079932691320,2402547790959569250,2090593518972571456,117686211684822708,2211849598532603412,3762305824417520730,764035466064378088,451341834312111012,1152205101079766613,189854772189733416,1898751648965763600,127343830006756695,1273575061575209550,4481348672724340158,4248532849374874487,1788437219190018380,782050532513652648,2469390471959165419,3226029921511779240,1696662065240745048,2293735168220144740,151284313323979935,1837769871441754068,124465031277134268,619416212900674633,2829570147391911225,90692649515524251,1511706302945495150,521192770746151488,1654892998354119872,1149164280583712790,151868615582466516,1139136752426576430,125100775373824866,3753425632366414620,3314282247487280240,2317556844439066428,316705868616154266,3865430097929068623,1074274060207209136,1441659187472244960,1415974777047878265,1003176422398120917,844263207154043100,461508831419633658,427460226141917415,4111960598225878464,1126896785205561144,2501052728198058468,1219782090285189594,911097735683200290,662868977631534004,3222846398287661472,795312525701985966,709000982066256560,1306054129996547280,2643977741427641402,48073891721839928,1081778316527957580,1148774799793275906,188859946171640190,949647915383370039,131192905125561525,2099311026455876400,336622831200889776,2964455863919077530,1631930904845067573,3314523692517717648,1494670430840696648,4165919355496067365,295845293232700545,2223381542057525410,423949871490153651,471105763858312290,931462790034094023,3540239028253120620,241296259232824017,2105765136173580284,2097240022469144574,1773333209293052556,179464322987405310,1794834940934095860,474661482546178728,683629012224855278,1357629949015900875,1581549648714746160,531326386566815694,2048320463055952216,252067020577641468,3361252410784289760,3808918748031491970,453379495183801218,1122630355342655631,1234996727577716314,3030126695177425902,28979238049331970,676254370285962580,671819963367614574,1038840815084480525,186687532905726889,3030647429460354300,1161251208087733521,700866322942644096,1227510493113327585,2815291606762810145,584713669754841990,509628458547658521,437056127461894244,2339856423960746648,1535081565538117863,2661227417699462760,17365604162296811,521023644198562770,1422710591272551462,645950287988908042,145377213251367750,763318727556280984,2903706991136836773,477880587719035935,255043814709817215,3060851734971375300,187528940550925296,2344361376001079800,2120675448808582392,1105008915119117058,3574584949496298330,1877973892169414039,1385550810129133962,274952495762562374,440247698650267584,1520002679925648825,4590870101093856978,40506725271817836,1215331053053120280,509949306804691236,130960356429814240,748424497887310080,1210672827552323868,356744765191992483,1609376876409286140,674660131574674740,2795300695775715592,1312018655139836580,794961953271272745,3014084746800016458,589504797708488835,1742073248232203733,244559203145892887,1747037098832875050,651192054185719430,784080450775615725,1899107852549768664,1888884897205551844,1706633538629498634,1849589038938438252,4916518879200760080,2336689189728813744,89043365864824002,1024608616924881628,72059516564761626,240223892358860700,3491316520516713203,3273635145612891474,1515738438161902824,2463387962876739220,3118463578255940215,88125294328504248,330504923619071070,4200751875409078653,222177241301030031,2215181625817146805,5614858808336546118,3650639983243099791,397978615618434858,167483697696061398,558338201403821100,3994104310819386112,1630697472364440267,1752225640639044330,977602230444221715,398635628398011375,645719513471009652,2739866336624091072,489784714645029250,4867188683295606381,1913977346791051140,35941997816888220,808780639660249050,1836398020125059839,389214076288821610,851867855874235530,733650109527485380,582361941051127182,62414589283476882,2184741970676516230,4591290432117660160,65571357613969773,291459112068118520,366611276054398428,1956399694036846401,492649191400551940,2206733504335910276,2930778095616811902,362812942605451042,2205647175266550225,586495690677362880,127072195185552747,1266354476299522574,4149058884274754121,1125163747429236582,2398832752563303840,1280875589511067485,19912419987579596,697008400145857660,1430720640481025292,1930426708583435375,157717074759568940,1261869985639512480,601323149014168268,1872274933533544799,845152099681165290,1706591901379297269,4637685786076313328,97782054176266146,4400657367435464130,417879724490066485,2072827809396072648,1039737176385944820,172930292822170552,432371394743204820,2932698905948430780,2066282354617962355,296803574629689732,3284912672961430944,1347833592205767690,550706463559865280,97638886094715306,2694304816098619256,1185658450809439635,828597641484235792,2127909642446668010,3362072263649102304,2585416522361814152,157833828854100375,315700960894521750,2981832463722647600,1410428767842893029,93973424297444841,1197546808442065868,1728503898829180728,2391124995039909150,1491046274926117055,1258618914482576334,1404529585038539448,922303355212576785,3065943808262206020,1247071274861036022,933044259386369106,1600720332962156451,2481930624207146580,3329082948030501445,1602359353496309466,947795351093980722,1647027582984064228,1344186565559816840,122275747467355020,4068564822689211201,298199574659954904,3355098499919000070,518952495166730915,327642341181196740,546128061743548740,2927788718176754064,213810046639027975,1282995315277090650,2540851472460066780,381166628897880578,1800109503282560265,1093661870596197365,1299648689988527345,87404709141843210,2039657773954012940,1372506120845424912,435134336024076330,1236311221671880045,3264248277987794490,1781212186645624404,1190010192899585784,865747039507986736,439080066741066003,1063102905253235760,1015507206453066384,811698274683519828,1187938925654076852,197757338185882036,3461117123546062050,1756544597803955084,2117086202517310448,285323972453528352,416946166573482198,408174333002381240,376513890368678343,3815353300782811235,2679855463815079734,2005007789469729360,289276506931588660,473398871902234518,867875462539453962,315211085332054288,2870801350839961660,1755303336992196720,49273939311217477,492791110801659130,1658163982399757556,1934748882799689236,1474491617661944160,3872538495928906062,1115653023609245868,2466682229821235475,3337218011533976808,2400570834999415040,3775485434012100828,1290891224898160008,1936485287360575344,5808221499029573133,3216884945197900725,1868868132292924551,3344926818932563224,919376538583431636,481213565867855812,581395753991154370,969136999617368286,1116181419261755,4784135948349450,127590326867388000,638018477534900000,302417295718277986,2631761290411555248,4567748726559762378,3297598924167304146,2909004597331126110,645619381265336832,635630830911622323,1070250494088777966,705177358114648856,4222016052972294690,648372555974612724,2614520379094694912,129755205639291300,2595375736121934000,39140058448096375,234864927172594950,541933124299305588,179626824544736292,5389368557811083640,638595469777887780,1806901177091944776,420534965027852468,636919871001002004,5337974942975878128,596936662719388470,3122162295709654917,1600447412448148635,3077200992883146129,1067972124338931330,3867314730218338880,591271673594065642,725349221739336996,2690067119150989655,1800557636619192195,328344287023527090,2410480348828431432,399435186973108450,202679550550547484,4560766307233311510,4198112506772981880,387257466877593018,553282735869518660,1357816557022597504,148337464430723805,1662935091863863140,3843027983778918802,1177969427343987984,2081396202119405448,1547715271238158995,2096775965085324120,110490522344159810,1547028758880099460,521011494997900062,21480244483627928,483355931998758300,4834063646030053800,1191371015130756712,3614525091602079246,916673607713642544,3468953177725796635,2820383222795935307,884410181662507584,5516771127857408043,548743146039932094,705289271485061850,982061454193212474,1321264404885164961,3493256187197351064,433834463715057611,1297036146418328940,417045844639154058,1318136718745873810,31432898408907768,2200532155955083440,3768007192757675140,686275897480261056,1238303784258817182,873601548915313208,458346619236715498,2020260688023273390,758400866635079185,3021570928444305839,2836639597797266604,984282461393973266,204155234626944620,3318491386842638967,3838060456863373845,2107042721622394152,1751954037688587915,4911783645544139835,238100242939571654,423544591368578751,2560544096077267936,5311762064521367508,82865108006104185,552491521484368740,906676452930083568,410665338328662108,849677568908111721,1164290317451054620,2386477222687385616,3333745963408869432,3503756767228264120,1379551503056143464,24823331470372935,993036473814665640,2088349995633235524,645831400985550229,3452863492283538282,2100168794080173960,60287269616602692,1205870673063981360,384069613915518168,960273785030515780,222952513990450485,1602964013115438054,274088196109850990,3837633268234016860,1733776034074213248,1541005900652154645,3888154038024859267,1591156205734621230,2255781355210155232,3618901954897591896,647904777529103010,1353980341881466115,353827364656666952,1607522126952122199,1657259962025627745,78226308485784850,391172124818071050,2542786464309505540,459438976181564503,48383745405092097,138253611527874700,286253830952943624,3220689581681115330,300445065346700735,2671999517243912814,1615164022783971675,960780717295265398,60754208501539554,4860840521640604320,1545863419230442173,2838248501043477620,1058696716788021042,1040291176916805654,4859014340742873032,332838091516051374,702685610538841920,230901774210850775,2375231063081483607,659809530559924170,1772057358834513092,1468504190139682140,891281264897174373,2059802606986723788,1184709678193759320,1000775513752673016,3183761696553617490,1257937956110647125,4897415336437279899,182980625636747366,2060283019143431064,4388217540216698680,2025461663743614066,1110984363888938004,734048822094774490,1221153348457245488,210858126761313810,1214847100770203241,101868098539113672,1018786351206053520,739135989823739305,2386840305046923030,28803915755647188,1440344708273278600,247326291844046508,2490343382185956945,3342077464186019565,2103529707329034375,1532214086449827672,1155374430251169042,2534397713251131670,457076717450934435,1852440711052380084,2197698463913424327,2789107885321951806,209066198092723086,3136316930617557150,1697893890913669635,3976047311852565908,810323921010957632,665071500357206166,1743765098487516930,536023754250658764,249358076294888448,1246919103228195840,593265126477198054,3947567876618125860,5761136291038302573,3691820160970869864,1309091208984989784,4231217369220100959,411739887305742780,1845669562557588465,3118154054970581640,1191606622151122270,125190746500102983,695575889214477250,419819492249161836,156162016735816308,1952226518105874850,3603121126290684690,344423609995217670,2870492682779832350,3624039836396373408,3945750882454403694,2086232067535133064,342063790091983850,1551227749350644304,3428445169866463050,1268461266484158138,1037392646039650632,608898470828126815,806684713300249062,189961066253731176,633268783167149520,752669899980137514,4148349805843272435,630617832856704714,695963641388567106,338731355254676430,2216222752173689616,2678145377992552125,3601375628979366105,2541537852493569045,1338231669852474417,3400625270303186016,1100298389482950175,850800791942223236,555572858828947404,570482115022884636,5705408136255296040,1492680770684061780,3751581221421628365,1711358679410567028,4027345076554199358,3583322127007487072,499684090918066930,2829011959153337448,219338723544372475,1421239325345558467,318139206199148472,1988574462644690750,658903456844280765,3077600216544586215,1448217564979531464,1447760711727446568,356676951762468270,2277119880564095080,2279464635662831048,2699053657354914132,1069606723730325810,33823127890250090,1353064097207704560,545402600451547515,4848521063657766800,557983388250915879,1192632730520789745,2642116243371043572,1245128133615926166,969043026076365852,855956917493880558,2320469660783485440,2164514423832954468,2458623993839438586,213466336077546744,2814984225938696021,59210761885965760,1776505131738046080,1794743474559905448,329251126907966548,1260562058183081784,936192748177782735,4120634653072501338,1751614123932983106,4095930737413319008,458554367718654231,2948517344007954900,4549432610273258752,1073601498842539608,1982043141225242760,478833108588780999,744415518558417810,2871790787704415115,823862852137199852,480589803462063928,2139724633323969132,127851323527280720,1118813706721135180,1058904815994162936,646714017097788021,464730080516653947,645318506643870780,2697261598037725722,2463090753919134960,1534298325909271434,3887636355628729123,1504934122278378330,1033668214682182443,1133685070242206272,574037133449594878,762227988915735615,1323647778340392820,4443702117873958608,636073977337908948,815984526936157607,2986669976900417838,2714239801959703065,686902359340225324,187344301176418430,268510767737772237,35647914096768726,594192671746528500,4159961853092709144,2081695777554462956,524232881488426029,5056627539819689289,1075073586540359160,112902210466223688,376379175486065040,2928676140641704585,505481755232921974,3343004314037200665,1106555198595898125,2055451235453012610,635528861407327080,250183307130091026,2326301418454862620,1840194498031753176,3499929091852036452,476417544506405396,688175717859197739,94906793114954455,2234283689788439944,113348603442265398,4172270073747558453,1231642454717733296,764781928632177570,4231816538737931591,26920941827489446,538473795782354520,21873840670558984,109380365614452200,4922618769106961400,630471637638375696,1140578577681607281,4036250043380745405,4141404702609523020,1729787575163179194,2392520702086425096,3796369303731778770,2303424827342947736,194856722038841370,5456430551789981874,193242429467881767,1073678517829075650,532864461655587196,5946977042591206545,4512912904586987976,1879128483783484402,2678246162944439884,5851238750141116653,2276312998481201225,1042989792060444056,4603261794817534551,2464622163994809474,677651533563379032,323265860126088420,135972110341140503,60691669429496896,1062212393222813280,1553761884838296474,3051842624480376880,1356316096509474525,1456198261922681616,290417286936079438,319766333354254008,786210093069633910,3966563597144860915,2262962625332501808,683021244106544240,158808326819787888,1786775487677181900,1916710872187269678,1317398147464527812,4200513801305814846,3066411388831188220,356300222862607225,351253129832263467,3512888566157465730,3208183651310708010,5044511731953191688,241010879449309095,1165174842287389617,1542093964323654735,2109822521800474845,1399327852562151744,2004072721386986550,3821414857173062250,2700761198083504947,2426257124702627664,2344907811477202104,2607166981327930480,3572197297808410536,3338018377768589696,496350300818664808,4528986986646934104,1311164411837114450,1792645628366549937,1726258496020806798,1767790299172720780,319667018436869810,247917812497912260,1360064348417282967,3851572553540198496,86486005081692759,189383780172284483,4884882828380344440,112943808783279720,1355463259579683360,1159097875467159255,1162840508473593276,1424458662379194190,42090232499546874,491102532206768370,76394746106823021,1273374926816083150,1554158126098566945,892685849716158042,2430886916352737232,4684873475921288685,2416076336215443788,5647602379648534110,555537362247825021,2491907688147182220,492498821929115798,863871896078743938,1546620304806574080,3280453780765705854,152528622531901938,3559361853461660820,2410553478934411027,400809845587071375,2290574022553479000,921408128330321148,722914930294111656,1814640055297814680,1412744688876364590,321534673715052249,504360106519013058,1793009263874334774,830369946947182686,504397026603685080,2802489406260987600,900879824450525880,2227310850690243770,3081768698730437264,1382143711491207225,3758556216149241696,4962460167467496152,192907969874625246,1715913419753749638,726314461863010350,761579794849449648,819639521811621171,83509668402612890,334072460923918440,2811631199401193490,3262562776410814016,3408420635246442,272701223246358560,2727287964759262400,111763643183775225,620971900813950750,2250098742228323548,755634555694012104,529913237350729766,1624238301286050255,5903448979471355619,2205286994718432815,2318950605261274684,1779057467331323436,2450183879195475200,838333163809692786,110699325862687512,1107105075692299920,577755215790688230,167316672374877270,2498581454858361648,401241309042485008,1219197037261405230,5207194786874998672,1147854349538008935,3378534764605516680,966571888291067884,132868480191415878,189831272274888660,4290033807559844080,2973634960631316405,2488849695445487430,1044414344260316295,44839450772355999,1345319233909362450,1186874742089660094,4937553413304721245,33323949928356726,666546217939300280,605817237243659420,3622399982291142144,3494052315629180496,2942860661205936448,2416581687012762645,1277785177750524530,998177736079466308,897628817233997862,788841788234795744,4259597039094557160,4927787207869447215,61278180961256376,1225687111246584480,1167952177111664238,909362095905196038,2401089571555624960,1890091015601654124,5863114421030200419,1838870467102459365,2100122810585671080,1727561735464401195,293064708158949754,1383478859440360536,1219617189784442348,1892983196374991172,317582599428228690,441742497547013992,1105481964006818027,423884140830833568,204636981149847957,4093151490224691900,4669713395313843009,3608971133858428681,1470457258208077076,1790294830223265975,4041287269496907320,786283409666929803,3408809643749327526,1445554765034360722,106195958445481821,708044251250214900,495559287983928053,163177404687387879,262396498004768004,4557678699975919192,1528822130834242930,905234006314761123,1824825702664373271,4819547310757051568,2174273958356206416,2557847793085093540,1591573681240792039,870935099190934404,969428479701375368,2105516644596259172,930282202917788670,2689413994755894840,1158449640346504478,2451206246495906448,2887429037913968688,3253677658820626940,3727612471927814106,3138848001866775654,2144511929186429795,860764980794358840,349131193040457810,299444960722226875,5390550277094553750,2490808941644426780,1233318702127878317,3110401435022364480,454896234138074175,1715242182828124128,837570291937356510,301496958750054146,1871611433679662640,5515810800922121931,632392921585858766,139930263663975143,99768840102449904,997788444183978400,3893009473638390411,1610056184726160096,5101759284350857392,378967408553611434,2078796800703996240,383383196518715421,790414983611670850,2565588086840391675,948339395155820103,2865897401827819590,3924971907106522410,1046872563407690649,341936248400525905,1954117153587599400,67309554825313985,5385303728250130480,2143534613102707092,3776168304442347513,4597304825006935928,2138602824010968210,2791461982558116411,1732956691763803190,65208120646954545,1739057286084502800,641464982919144090,1140310666914255099,355512354252664605,764615975389829045,2015495879167437615,4091198333406805775,988502681121159702,537236217209619168,545737605327555399,5042216627927977688,479041823952033225,1610267688875815338,3686618090724155886,4378233415628778762,180672587812848028,3162086432369434150,1507356266789485992,1270759983918560220,2912557306991395966,114546948278961708,572791988861769900,2642572341465294630,4065744200389989201,2619175447628660284,865681420811778135,736937422992658620,4300121578923594904,4854149650427841801,4457730031144337832,354961759757099952,2662479109910687400,1744910323302537828,717357679121986640,208876739129771256,4177951931959440480,2296541027279937210,1851581993774224875,491108741224850370,1903970621872624855,1748258116416829775,189251405969286375,1514162354966718600,326078247172430735,1479202006453818714,433055297654829755,522146321704632615,1424907186872094624,708341075183865375,1917968117598440322,854468972110578684,706858529480893380,4370871970021766157,25761079448278767,515272967435175540,166104096471440423,551057604854437320,676838828790655579,2129078613864163012,1415712795569517897,3364930831553314608,443119002462351880,2532360947327780160,91631116476026683,2007098296786433583,1049646479720183583,1013264061922978740,1297086868716239229,486138067199557056,466295158120826228,2002316939904845672,1264559241147515145,363658434133511776,519563785532019520,2363041036870344663,4796018742281939376,2651124061780618440,2279165163348670182,2697484630303945326,1318745557560484688,519202993750056972,330581976347057335,1582820124925207506,3309277072730165352,3978834623690502450,378464729302148987,2483709203842873800,1625103390315825310,3762630893557650624,3731278267576966554,2787645341656788126,949982465061035960,1735270220309346234,443282040094734792,1041880384975609608,1213891283223949146,3536623700580476730,366226692511783862,2199159454546379520,1791122715279778896,302971116610616478,861752960878062120,4816615962173027427,959427980130655478,3724054965865799712,1275134539105733328,109649895923498895,800487158161280586,520665930123638955,1989946715759878614,2122479456430462728,1290715131824558955,735298218873987768,4230714541261810056,1232934256175189757,1876799837661282075,3403623356939812950,1068833711885253474,4183392575992232331,2327539369987311360,1887832310254173112,2680256292979044650,4313062913528323989,3039696374234509660,1998684379166112064,455751819472487244,441813553387303605,2088758854137509892,910483927283387484,731102100692992164,2160123556942654180,1060198089700855440,1254569352902022906,1376320146990955972,4785501603728179704,3168429437161043312,1407219057633239775,2502760361065575840,582242917883462645,932044523804673394,1875180229087776432,3472771838776222010,350435714221229805,10424495693593185,83404229298055480,1251187399290445800,6186523122268314390,2329594454274931308,461890088617617172,1694917325908964568,187507611877061691,1250174553178854900,6163847955149190174,3320765998672808958,5740498198191804471,572451828904020219,826790327774188785,4332782751772867227,5537789708601082788,1107989915008950912,3841580245944100146,409369272804575580,2263466727653228111,1298635277452062354,891440724098538054,4012629652672293751,646506497680396950,592622378261339223,2898966207032173314,3768872818244074632,1368836968666167270,537700095119693445,3771819156369485288,3567438436514348424,189818914120987829,4466077862030418744,438426576166333080,4384699196890440880,572449338416755869,457029143393994024,3971396028239730117,1224990207381743280,5109885470966261808,513380995877629481,158885092233749235,2860214239182290670,2596913531506878640,1405030210680170445,1810307604708818172,418606316296370896,4731385034299822185,440148881236680945,1318897848765196476,1918735906730036456,582971722622170422,210615748429200244,4909152121066449270,2761526797834260708,5224402615366637937,550704844959719478,860502302851198092,599769900059442910,307907090040646246,801949960351167624,3801787564588488102,8558406712203887,171185021911110900,1221740275215756984,964825665642450592,4524482446878317913,825579832271309048,1642535154156633025,1883354312466343368,486600206025737202,643815654655442862,416669924185019388,2027166130759752330,2814998781987556810,5617324593708487272,5481805792477026504,2575929297451334835,890087690256292740,899518686705251192,420106857513129017,4074743808130623930,451038691557601327,283168056002252980,52958817994942608,529640349664519520,2477650033091805108,3333776719687544484,3732829735503934710,2908895312257280470,1243141086307068732,1828794309988225470,1054175788332815800,1225089363350865510,483056048583620654,1795122087502892946,680448933406934952,4641994865945021536,157848748990347040,1504799668927222254,781747202689890702,488499420881082431,3899376866201446728,873646167754715970,396745225205488164,1322614180566517320,171901919208580822,2453072972102617488,723769911518805360,1467778094649701495,989126749508392602,392582847319808607,2751646803296825315,2387046216747028650,2224923271168177575,1046434592351478060,3396351304540810270,3014368110384926379,64415652404237480,5797978469167543920,156418000790357766,224751302681945661,293477618221761001,3773654387355321450,656070067493053215,1548764540665719384,1041902751247506048,512716592512595082,3965634241703999235,799292634120591840,1097950468430148204,2071038043535351570,3614468467975987050,2520246757171460030,59939444428678405,2397813142585207800,2301477747255459612,3637604830947445856,1187455906214352120,809564677701150432,3204182142606541035,187400124675317538,937092562203347010,1444160928681107600,53210917353897132,2128645493661017120,718444340376631998,47288069927146725,2837562475145047500,474556888654203698,2942635568561772012,648861231018713102,732228771204742889,673338342869692110,2644227983840418410,965037532996468887,1891872236865977190,235351720428601985,448562012734538530,226708603889771838,1271078041371921531,5497496131476402040,481638407066984607,1667505386827205340,4697742673949129928,380558506748914812,1928884713086412376,4479947081337898544,2507424201970730340,1168946842203593468,640195501245588624,1612726834782707766,1482005488287520744,906279170056881750,621193935204787812,1588514387671315683,686078390048205928,3516901096467559752,861818041196135200,2108663070185839762,1003546783812097008,499792032860675108,729454814156974838,718565826260579400,186663503368239493,2660490577194857424,491878066061012706,432145797429951652,100839618804245060,2016989621747062320,1541341637563279724,1172543145571925380,165779744572825644,817050347157727935,1365002915432778849,1932484038743860644,5612037675419816469,1071824328547822188,1857000091266060675,754912436481133125,506885137645232064,1056605472135755496,608000810526610363,1130892737593046670,204888774460436655,3737398800430312584,4194374245978380288,1003385239446850644,2212793934056478690,971892433348458840,2006167245991113468,42647158267203718,1492796291550682370,6349244167792341990,2527659687295462468,2437760727592433784,768226720718752392,1631148107241127830,1730538477017321295,338812685153617284,3953200426159824420,3891109874296997994,114618058925121654,573146212524160450,116744825864880948,166794593414090760,1194969891528924970,246291803417012009,2233476312921176505,1327703429385147768,460237670010564208,626780669135758404,2194453082242779136,4785583573199137720,1569855922759709604,3297892126203194527,3781863737901755748,1251719203654285290,4824494418690726210,2822612071979603208,3332377866559434990,1574842915578066631,617858431331128494,1256487403007077620,2504479119135978078,3812277867648299946,5014411119693636528,3783167561147887108,3531715510304581965,2749644942153963000,4007275872125738366,2844535704529419636,2658798504398961828,1597468627602671160,1128021427778138992,1873799162041451967,3080466906557729916,587890536520446555,2295533656039564275,1161451322486785552,217185628325512728,2896090191831426240,316131187385538585,1053873161345543250,1288845345247947984,706636140896049496,3054630453350875565,2593648081785426498,472557022918324700,3247657972161489621,2005235601967921752,943201479595005896,1229615483247774894,3569575645745734275,596420780768197448,110493501373484948,2210084866302450960,2434122324133583996,1021264228219145970,2657638961505978960,575051586160076058,11770231897295628,156951676047017760,1569669272336696000,4200564189239480688,1764025327066808472,196067593327792084,1960866402356727160,3536078112212284980,284832463651315128,4936948418345708359,1163278581269967546,254648383167439656,5730144991207739100,4291230763783870368,1127859457623021768,162689998417012695,376071256938118152,882753667108641620,577750445726042148,243290184516763467,1642598159531244366,1156696234784486578,73801417697156970,492057191790553880,2702833254416679039,491520659102525832,1017422359747310646,182593976611209340,1826116879443099240,1459316102117217612,1625771748891292206,3837437158533525813,3505459668734322280,290284373041300240,2322500149045726080,80210216293884272,2807629730772044080,3251175815809312200,3213859732941747155,2119718504059794976,3404387483179745937,536334938395306868,1887449656586572710,1823245925880441594,3964381240889463039,152140421089331384,313347725116932504,2350335599513829300,2162088005087635555,1613824826306659824,3442214904521685324,2051646952436182743,3071198997557630055,4719482490896476578,756843243073166596,2686909278166848864,434330642682981594,18937094043269460,94694635765398780,631358677177334800,800262676297923804,4498488911683562391,1324896955842282360,959696207334551256,3338092945592924169,3883954263517693908,1401786539644316790,501929085886439445,5447218228141174944,2105184883689254451,229111038559460436,1689241792839141212,3031927191046055375,276477194628664254,2377372288873574724,929534804040534636,101963802308945646,295961306230352105,516145106259584016,1290487494106958760,3967077468648703296,287814917569370091,941402540036932020,724593734060118396,1452516753226443056,19934751384730050,498416934771098750,817365397586136765,1653538335499884267,880043538618912738,52532682261589632,1576132680222800640,902540296540118675,1421859746783750304,1965398034300619284,26644496777260603,1332353464937455850,978878438289879630,2173578813839797072,714533091446395138,4700291731657469766,1117531933026197382,2881780281988051220,2935505903702560650,538991509263429352,1861737067619494554,1599792230878090416,1644548816272886430,2003710316609523855,1888656184920295875,1178004812513052680,122025173231226816,1423764322654363200,1163109061945862212,25916004171068180,259185031296289800,2073680172763825600,394687286250964940,2341510242987699837,421782095014145211,584299346407759595,86133475398619242,287139256338130900,4144091398650982734,1819459482702146115,7180081719343230,287230941778414800,2872586155730580000,6135247823445397548,1895972127163828231,2105335133445956844,683802357865792604,1272088820804192300,1083999801423899637,4918301241679756826,952583188044527566,395934315743173128,1919042512367923950,2292196875292572496,4087026209080745046,517365141006406846,804606525820214218,1527134565432047700,704868684117877860,2443251410741402752,140208017868038628,673607454812891503,535869024105489735,986718723411341088,3366963124744885812,290969091911795445,1928256733353841224,1787743042536388520,47598510318673669,4284277911632142990,1541338791864745048,621521035779068235,2452712823781675440,1483897348369466720,450030951888360012,1500247380604146840,1246697742439772716,792503093816322680,1569489675505487775,1978215918993934182,8409053470529851,84098615203281090,998880472855033695,1899117209121198315,737483284125920775,130742059032580896,726414545357940800,5780301203925432840,2606240674169296988,4701599118137737102,990094096189564401,683844335162026823,1310319389633835475,1713338126020964796,2516583728126112580,1332374880552560298,110602290587947956,2212258143961849200,2476538956271340366,3301172728992619425,985063757248708956,716415064891382504,656484888046349220,6417440731223990496,546558600117627493,2754013005755683032,1031578632084975924,319918473137906415,3199491590342404590,3137160417793871440,2092809504488812280,1576331918385393015,907516090734368395,1128640346045654146,2069845865276831676,241689840756649745,4350834191389435290,879008765220558060,732431324650439295,6578302420847088027,715200683391998523,5016019439311558893,3105728723068582345,236599536352323888,1183111030107568560,1392948258066590175,2346630964444142316,4916319126142760,86043825945483980,122931524883060600,3967867866980956056,559191357199729008,2286595695411537675,1545010980769529172,498764542655954028,1170637113771279324,5802080077658703912,647823232489959345,606760479952735074,586594633470014748,974397125244278868,1868472970595292312,797622632970719490,4103173009042799031,917513490390112872,542958966245888766,1206690917015754520,1098164638987384080,895755301272878274,1302972131647845335,2811405393109249797,1710262545056500275,480871048878788770,3190215027496213104,1562353898400119775,1473455592688223024,2600098845908765922,228289974876230250,1141558992102833250,640618528440329925,4366415096517211576,1545724878826338555,744761235344123850,90638612870305230,725178192357011760,3071703429034084566,469411998836074872,1669618285436221380,5171423934545447931,4745940120404237432,257435131209159636,1287298597229117820,5484583700302324725,1013950662515896670,2220043549583172456,394352216680680859,1562910989179167450,1974206118050812575,2382050704650809445,1308883565675460183,1357082823882714990,763761052696402085,427667318102345280,1603905497889400080,186143818363296379,2321905433374028304,1099685726920471050,358071432874995460,5678537014077148908,1227929535559012608,405151075053561195,2905660566082518520,2043566901665132310,1373051423585593656,2165219171395772076,1151821866973114026,1331119883387115408,17056988077263860,767637642878090820,917689063179391816,408849405473554287,396675491638650945,1098291214972788100,2120969793516125236,264720227025691938,2340016254687748788,2716171625988823084,423900484676435385,2696807418191501612,274853392462367079,885950343980993385,293778301355613896,2881659473554127660,3307543628076605142,2025600536757837474,1674454157045360152,2934275320337840910,3628130314316538240,97763959282539138,952095183112912548,1450140056870246109,263441358451770072,2887060164549058275,2973679748725434205,164625474673030236,1646411417225755560,4713071265654538761,276690613311840925,1660301640506077830,1055919608422611327,4465059718586837744,3581795473350566499,1108115466649289500,1645402079081282097,1799025352116896034,247221860475622746,1412830690161253680,568505635655928420,996533097148872322,2682166536475867660,1588736473720117011,1131653652687292064,605415948489133865,1111850145716061006,3458255478750916739,4424326572701100888,2800320595868372508,1305337007925528780,2076794020712532378,1728323781970263681,974360331130600924,630726980966541507,618555412588128660,2243767354800955056,2134298785558187368,1324173322986831243,2811006162149005420,1040119834400569335,3980547182579612016,3125958155092107372,73444687236281394,734516600522991660,1444715432708572065,3233877963871824072,4976158318473905184,831558512876136528,1086124906242842498,1606506130480868295,460187876177411123,2629894531537243640,628937404933378116,2400886836183070368,2281940830659448100,516140558942710290,288794093399977847,2628993745368842084,623299681026761034,1982509325091161580,3004117651039865745,57304125833691606,1146191187965279320,3660639067605824787,167483947848418680,1884373036577283690,1816096877819406882,695401009642407012,498185473660570446,515314954039826730,686202623971856658,3622126691509612304,299027027720744510,2990553606845286900,45671134631410080,1827018456805451520,294009863578555806,4410565706491679790,2581622090521532028,2308291216456764300,3880289371176383277,326353919590203229,846512209067891274,2342018702848463396,5730096054235125915,2413962951548855004,295143893089600045,3572007044349808355,3456833985657490056,1775652052392416925,2790047007703961524,522570936605038026,374726087757141271,83180152450699275,665504182713627000,1198705735950248582,1318700184373556124,4230509560431946884,1330303583610742548,1697976862368034850,2047571462134140960,2893810800491980520,1260560005330567516,656359806602395608,294218785593687620,1402672480152517678,580000839457630206,3952348695960097386,4268804924990392738,120262866865862940,1821383651616402772,138174201199529984,6218426676062638080,363081578431390634,2241550189356895620,1903667212554000228,1239490135500140748,214908705112500716,5880302093681379954,2200113019976303760,792245429987567943,1586187445574864244,1347732328813084170,11904366576918072,29763726790560300,1190661488734663200,3699702560230064585,3313629078689186565,5746842715569835986,1584289802858705360,1085252710715783025,4037698804602003624,1477051499777198752,644760023978106177,4099233310273408410,541400512503223422,1804838656248647460,200354763481889904,890549625123980160,3638463061909718550,3723752463562799549,292152845832475236,2191353009574005270,2230568445078030588,1313409286707017740,1706118406280113572,4157837889594882857,3451244548207459095,609604741528750548,71549848689524880,1908175829536756480,807371706761446806,4763051201679937896,5610603889019425928,1815508139461902165,3078865088364328551,1674768778198750472,2168617940493494325,583698000009225315,581509636822893535,1677386265346952793,2678429224301020392,2408440153207927426,3054666098691577104,4257057017426853325,287227458579583656,5026953865738967820,1676820107876383692,434961299177087885,2368740239609051100,1982821155866146023,4174478121149385322,6314788657947534021,500875068518730574,746541549122510895,1163649302979779595,71329149135261911,1426717225849740820,1822090337756380785,2541691964033104680,1344241609668498416,1756267003274753340,2514572671552155740,1028537734299008756,627398140048507830,1517837211691014024,1629928517030522226,2749672666357586586,262982133269643072,4602620061631149600,3308156572704582384,2180165003399910501,652188531475835724,620461119933762780,3901615130463437640,1428122102066476032,1670179164963877044,1171764722286814556,4681784852208073883,3296821078919665950,2256667356650534736,3288327497621092611,2553705979289121192,706140316885663208,3089116062401205720,3121572820749404790,1051188276664376180,4752470007919639152,660846193887775161,573888173621331390,1374389151955348233,54481530345188412,3814065173662627240,998385141301136346,1236995652553788480,293928268407289008,1469779282939413360,5239431457615156704,3057653213946203904,1131840948393171060,2240913617575099326,6427877865050120562,1724368911522009565,1282490005957595046,3984460191820067800,3134915028959259056,1401702485385783210,624293923601715879,1139367760692980832,1219974967124408205,287528232467029575,2430710004514533324,87337759036270338,291153158151838340,1929876495948847545,767182573175459028,273548061278567475,2735737012363247250,1237644899979864537,2041434904823652480,282244357536531009,1105413907752309402,691265661852028467,68016512056902518,2720915375854153200,2989282084663335616,5670931344671391264,550991990727822726,967455728373437358,1765955683837108080,2014858482992223777,5920333995056251914,4672696506860826684,647263341311704878,3712754725150722660,1686850791512651275,1029283300330092774,1600235210385601792,1904395129101475965,3001527781722126300,697516055783048481,765222961275806115,57105719083860576,856665938470481760,4017671487578570130,3148960705110095970,2078905748229272124,207468643607206206,2420693922069457230,1271537009574563760,3561867082685100680,2635102906404226740,1552339250634008238,3727962468849271548,425368282870420020,658948090742187983,4135193427810968048,614150848123298922,338746296649403820,4742891448510931800,4204341471875845104,1378794769463016424,1636027067261657312,4733386460520334614,5612035971540437040,177603694833090957,1282419285327262020,285286678162627961,3438772828956091074,411315992681667885,312826692650621375,438505859078654190,350424426233790081,2039170099753895815,2212668748440356600,1938394841806796556,566045100039233504,1097136398201443262,1450920959292031749,453599073279794300,1025004914808259721,4924533866435684109,373489279297836726,690974896779515632,2053231686049409100,902409712405600155,2897895878788360724,1966295685051226065,503397955131573940,3479836528569066785,3620482395361609932,1504713943191219985,626380037675633964,1531521105916806576,178152838164402610,773569335280234878,878503937560508043,3212180512073263005,2295317633992500278,691553806163607960,55714092050363427,557192856296296530,2661198531962554992,2491724791212604848,962331025775163930,708977726969831244,527641061473456497,3769215915292960050,6061939958320450263,1898415794337869670,899049851427998896,721721923651658214,3147726725916249987,3115049624189904394,3804833507718538350,1646797355363003018,437866424038496747,3753490275472531860,295940936164608008,2148653144553720765,579162887777381754,604783228277954921,5612232339799398312,1126089737528419656,5793866557955584245,2280725356794246138,1009962464180443440,1966903103591921016,2324890932685335546,2378147763702503880,2445880782051312193,3928755482722082502,4886498283956615835,232817237553072183,34314768092712465,1029538794044297970,758409484624912454,5862247907645117104,3105957217910156799,5510332223039508525,11076210248936370,88617920608473840,1994088587784305400,1370393541436223452,3646913661359819700,1620961296190954948,1125273623779936575,2878096181690796576,1218892446356801228,750238818730822265,3053092544190728535,5963574572207860632,1684239396513767919,252351013467094941,225401693042589865,5774843185352368608,968744597839816329,656549622782124952,326185696068261498,2888248385939464395,143297617482078122,3332483704825036785,4789051714836373554,4326800835362315988,310569848310684095,153591543430617528,3072116014378806240,10606876698039670,53039305822545150,1060884565863505000,2805583887936925592,652146766006049658,2556932374088675016,1139353875069598458,3489697482902776635,760178869130337616,2922101287008399792,1980831615596786565,122916559262173235,922771109694458010,19475724711661164,129850205412139440,649311232090033200,1044849171247346952,820305860685441240,780908197457849055,1788545147844697686,3378967184279596555,610280337619404334,5785000002846711480,2510579785186898296,317602561228017390,3811583921748693480,1616788480557941632,1449743641841710830,1312344763307924148,649233942854444514,2037186028583107896,1593173119104328860,109366422144923620,324375522658661783,997263800521730388,1108757101639626486,3699701142564878904,28017673679668320,630456027776539920,6305143993986304800,232093623451305429,7513829754178586,150290505952310200,1503044172113977200,2031787331867960124,3056447271762882080,5048712997141436637,279624454900978895,485126063663840879,1599691248338797824,3721406690885622170,4567008906499947993,4054124967077025720,1952766904027602285,1713652104040893130,2750309318975045184,1416347423190866608,3197551365599539340,5699941604347874280,1659560731148048967,1507487666789405520,4206576925965458214,205482261945771585,1370008382592750540,2711502867797023344,1818041351282009328,3292499916374543755,1644389165575211160,1763487188384526885,1832675202241691679,4431943703892076596,292241646144128318,4243223889481920455,4596306999759252477,1164761124783932958,41945895426388490,838995395941918200,1105255466010972420,1067378392397458719,413415579756594687,1895817926390448235,2730864425697892393,74350287759862350,2230714563022257300,3130470070280884640,537135116595680232,3837033554821477200,5724866535303636360,1181605378301660142,845513992902008128,1803428122255933625,3591588057928044594,489727667732399030,511428852304922236,1180794990411063255,282607652060534927,807524919532718380,336448662760265550,537386493346455024,4555942609002592616,828817610419143657,3081818955467880593,3188682160989688050,4680640822946350836,1966447912327670784,808256732388703326,370646220694181679,3648779488739421420,5269443392041782088,1944604561580672730,60615990291888180,909323648526426300,2221960603831016265,3019416579398523619,438007828798626315,1008565747175975070,2739982193568926516,75415335629807150,3394002720233137050,2677438070823547232,3915490377198321728,1926428805953759184,243115201723436445,69294811233161686,1732529800393559850,2530935617849498496,4094824123148290976,2312097217988814150,743777948282989095,2713831120678237038,641911525764176715,1877794056512240526,1601164151878174830,3392754186617198190,3440133351765326856,1784417212623559914,3864492609215424714,1815370238735601520,2146966653567138978,493870790445472179,831019609746960156,731713185384886415,1372784159693803710,1939887419326733442,1738739150019108132,1215932109396338088,1485200179271593166,1715788299190982380,2813133686926441095,1177069952406605265,4772114797296726963,5087709617697764064,411454967835757920,4155811662369127761,1473696872504966547,244184940000677872,537822901103948645,2677530600589500045,3842214672023234814,354410855647812932,1937749928407176906,1788596133693964998,512343235695220635,2711286700242626808,1876551242946099765,227146787244806094,2271676471758111060,562342742263454745,1266368377442727744,348696957924926436,1494552737943069240,2454758243732705264,730787364991130565,2646668497122548253,1205282710387430282,570266086005382209,491965704201505902,726234230299541490,2153790839762760615,1635611056230284220,189970896997509785,1019902167241882848,2238942543379392160,1834527106270577036,5487003538951200360,617430215537925546,3563291806781407055,518757948771051975,2057217498005888104,690499222258263513,6666040207624006476,381328351735532017,5525220530829817360,1321250196152683608,1798751122815188880,947985024461857256,379195882092378246,2167032209102669200,6579263436160587462,1118986810737532212,2268849805652885255,1893505252505441715,121149105666033180,3634806153643740840,5286023577435940461,3619503692258230071,1019720019803382675,2107842196237985130,771659399366209164,3654007669562642040,1892661801049777191,2504137193113038903,3591665974402121360,3472501506314489010,2494323665977123752,6939129037894660989,2006032595592577791,427106279075248890,2150519350740071430,1361440150221880674,2499196149898974060,2306431659926680353,1285538875141571790,1151941757948354058,159417044298904868,28099884649266694,983585937031654110,621999815018310105,5161136076653832877,1292691466348847652,883426543040561562,396273464592042906,2071645183107846300,901049042682419500,3426612361474292820,3499521660876717216,1728973559047828305,1611955412624109350,440233556511705960,192872441665765794,540801927830384391,468656837506837152,3874227810848861050,4827067834332878519,2482733490434993784,1431221793557020258,476224244488432735,1342805730390683640,982327971802951224,2760723600401000943,4278307807418472846,597783493223519463,5978380907312311050,2173995699002265384,2414552575921225740,589980593995028310,1973694469209769815,145184546292455775,622276291815854850,3523473529481663898,320291922347736662,241829134343883168,1209256036914866400,1638023941306341453,3725778824382547460,2270751974888951178,2562973242876811448,595333192941295700,1618337626228799052,229802930238988010,3265068602295045603,2895370328381766012,428768607411136920,1427350069350277415,495097460915868381,1618887284238174664,3696890161696614030,1251713550982689180,3844226275359094845,1819007853197865849,2218207694931611436,216972853232653146,2531580711748380950,1403419651359784056,2967197518178847260,995932528043483499,510448622673806046,759257320878400260,1911674496328552812,267188852586258360,3206558365744525920,3088528242843503190,3973384471409125110,2871318496964988546,115259156432690304,3073857461296650240,4829109290830007204,5338651720380158160,1241916471783416133,1386160795006437625,2017181050474498320,183871896778383150,261625392151225710,519543764588756863,1853064381856491408,3444266153993033775,2889089104581121570,2046221449643089080,1335779941778419893,1980987061830040344,290251780008370776,1324228455386281346,1841738347577079540,2104746348412387107,2802088135163334584,6204110811087526884,576996981801907824,1697788130313689995,337762876533826974,3940925275269424470,201886735510692538,1097652571554741765,4922969443806348480,1869902816643710793,702102831234796999,2098224525763150938,671884389566209244,1980233605910811200,75042152768798595,250163244390137850,129935198234681391,2165783441643841650,2268205802187613650,1234516249163765204,4456475873161369953,194830040833390430,779390964153156680,2930922690256168080,1035123324000142285,4390723297552154076,1046909434482296016,517323628067942903,2123413727776539400,289334274739194045,3630637779756323917,873558374932873424,3683082632605339005,1066952884288826200,3251262014354720718,667219526089757892,336169255654990976,193394289956036292,1748364695976899550,2295077272939354344,985618884097048212,2119551224658305739,4554718356539575553,500018813184542970,734150664500039694,46141813527474794,1153649978933031350,5052386444552006742,491240742956535870,206360962596968504,515949193413281940,1604058196159979048,3769160654110893624,221829061526899125,3158725535996241980,4583442638423863974,2988654091028963658,1320042276758191368,5516530227796277790,4017319318520390967,1280393368683334143,966181772909368016,101480801275409247,2029799940008709900,1862421178217857488,3849720701177840592,94334684026662844,2830296901683033480,3728431816755280125,2152269466914559069,2765503773804159004,3903302875877592642,55894716019781644,419248333225888050,1808426203893655029,464443600612506939,670075547448658475,2387957601879855138,231276271999583120,5058394939007219362,488150229159367131,4881944131451155510,2446930667463815376,1648980040109201055,5791243159576137824,713455948227739977,1585601122409067660,2300972883734163801,4574012578717458555,614688114687756936,4800786545663083927,1962395964051483144,908500185898923366,3512563618125417835,963559465626435232,80577983684076564,1007315877391786550,2531267216244309636,1182299694277794375,5401123428781024252,2185725996916105972,3421361986284042960,468717581394915864,1406197554547895350,5902613279033481306,1461587012363632608,698749270132076682,5879985578170381968,525910507496109435,792643831539409380,1576053054596823054,4925826916619583331,3285718589252283870,382133727399861480,946368441609871818,3807763199478831905,1742737931720622732,1470779438452012140,485357675360316670,131396483933779596,1971125220313503660,1112611830999919776,257982511303448646,370069771699194730,1014758702965071904,708351121100134455,3709637201394393222,2371525844897979564,3045959429287490865,758443650951805208,2090123946464606038,4715263167327913128,603365607518136082,1239829681646778730,4240393623951299577,3246669134432452393,5137014851397161400,216372534157862832,540980122405121800,306661544055690449,4009156095701285406,570842169193000772,2276681476719736445,554859793548128925,4499814604487581368,1806147140470158798,1221038802151419582,4547214876501516699,2016453049869751040,600736341471461295,802586877889815154,11497802500148005,574941929500749750,2795868642062642440,2342772987898367376,2633928208031314305,1392028041136068036,2546197740460469780,760015959674468535,1177242221660341311,4322753497224267468,3186361523173485744,3024973257772586028,1408347910433864580,631994529867014004,6805337096024748639,349191286801773433,2575547016054804918,1828874211955712060,2821531845853338275,94378490608022397,1258493135669318360,2963568477684180236,1152401028136876170,633606610189016912,3048178983750724564,3213307801535364024,23275209295865340,349159549136953500,1745954798531575500,609626670342802617,2990563358264781768,778907539116056025,1697277180967285635,1683310089721025976,2781312546787864257,3810602522564394190,1185823925278962261,3704919235417279350,1278126285737385819,1318266424120582344,2363264173158496536,856390493725705473,3113040616248102155,1721148385994963220,2284665161634119880,1335800245966746183,869341938760795710,656685121995921050,68425594870372622,4790221970550325260,412043460252187216,201205331802194910,1616035088525866440,3294844554027537408,195280256330184250,516478941660310551,112947965210057216,2275751008816803735,66361372668327084,2654693243022801440,299707391572847484,971757902550376665,1002060882991809780,241747660068510984,2827071179430021489,55107706873165020,275563263472623900,5154693531150229695,91071744162694571,632750442532040682,997062719415564828,305698443435606556,5350202709762737050,2752148908573144059,6382671140704136382,2585192769799985584,33577346122767648,1007410727270030400,604675100801035314,2687685891545978160,1353657230676765680,1155732768958149676,1883000423119032660,4056961316399070030,932428325490673038,3444407859746579655,2184388196142570470,335959268877614175,399112946226035046,2618546907946290385,3171290633188138816,6630702895140958908,630471876140150370,2194245558998762247,134603907723560328,168269958114318310,546122932871114448,4096288892687970600,1104788435300012832,4076282278527260652,4425294966853984335,429062058872527728,5006172273957335600,4829477268651846888,873805246421903952,2637604198498792360,65237589443683422,1304868590955335400,119287936151270848,2385972271005123840,2458633436924465592,3242173304227285995,69315943468275960,866526829578477700,232039733147313188,351635691305669487,2253719819210574096,2736771372075394605,4046926560481584252,2464481885909375124,622944901721766042,4813902234032721543,2021159642218738450,2417094511651977336,773839991132224083,454578334534997223,3492131826745111445,659974765492857900,3062760141656287818,1975817708811469056,162944372886052284,2851781417280684630,24852391079910275,1491276738416049900,222231662088402044,3889401634812072470,2086994942827416234,3326396455063766980,4905338126052126735,1575065112510855978,2326973871039058452,1909325689038861336,6215764897724840415,421475160014031714,322598044169164990,4011480316671139935,5803851877454783256,2302795120560565470,754340090325011454,3165154336438312788,3268211604609057936,234125159216581560,1756095450418834500,492834318363825719,478744997946622176,5386361946788287080,2735430828580323909,3627101773840544190,1453004006325997444,385425498908456738,2427601912314397632,3470102515860657399,4254148436137031390,3143228179137558408,1361056358039598956,2460753182764330848,3195689886424609695,4934493428555142445,4948842927886511526,5613703235388073818,3846223144686485353,618764973168660028,3989145207946048680,987093390259334412,2555363135689237233,801022299147848502,6025062763211515856,1495145684032395115,2038620181953006864,1737572883013908816,4908708145976390586,1147856707653330036,270980492634125010,3161720770690475070,2692965359888468010,839988381288326270,1181450937273760935,1995835840781406420,212623253147377256,498369443365549834,99545890579201722,3982190237462462320,92718632725574630,564763218799170465,315238257709730527,1418558917702732262,1731467552637480642,69828287800628935,2793380155730043640,466061418105309036,586909792996964795,330691464094480722,94666772642097840,236687993152743560,4421175980392975524,130416130125083172,1304277340256751880,1629977668067754530,1623953410168551234,4687199096985366378,1891004048031888172,3898932853201675110,788939709615964735,3289186085380221642,3524569952398642872,1470801981312630441,19206941819148608,24010812027375600,1440776810379681600,6921935654872271526,1726256820334421115,562294925697057546,966573772043790840,783664497094342146,976514303686265686,3999089850975596075,5836498870699498563,3840482631357316675,1649754058732620085,224630710932542166,641859052177041960,6066892026312017832,229978850580738945,3993339237949775856,824815936087257352,2888398641790110936,1023226117156167246,141022659647887120,1778312220083627859,1637263715439751992,1645235167937312336,48917335196063850,1223041951650931250,6483302874647201808,5198883517675295721,64831865477326263,2593504793053973880,3783478241466661425,811454473436409988,3528509929536515976,2588419624260747792,5935585003329383848,52760784403689845,3693582573914160690,729114544921033924,2223804128396642928,2155581766545926460,866967889494738900,3177270629955887736,1906421508337593810,4828196956071413232,3147416470341583986,800175965615317650,6512832200368217538,4088205202081246536,257943924887875536,120824154722456839,3497952689783046045,3647514103050621492,2727208856679504632,648461726148817690,954121024156650246,6036976565259127425,147360469945821694,3267696976144488885,5558652261032013213,3909950664445676319,4645587057219764460,439489806214221984,2930191572310221440,6088579023041585088,225056387205657577,3046043035425162300,1733378668282810905,183373666269783038,575724973653003882,2216936561207663088,923981482093747995,3082853159381400195,1668996781119822756,132134253558009750,3964378479860407500,250938415354027380,1792575887728940200,1494352177897627140,3666612180503761587,1846262629600099848,1223546556979956630,3282214619884545369,359174879985004658,1822336605080584128,1142040698111186478,5441241692347180860,2612070321891753009,1769406736858308552,1869961072617078390,1947931437210901587,3677568388251167175,5421114459767390538,680938676206259586,568706885948483790,629256659705582566,3388426055239460575,1545594086915930832,2001684359702080578,1951354360070674905,4880437541430356976,2026971732778763610,425018846300946810,213158400441017496,1065886173473642680,970551440154866795,1175607159615908640,1404001101376247067,3928805738292111215,6026830407529453908,421003071931166656,1371302981675588730,4462226862290133132,605802879401568479,288684420446715609,2898527375287647873,38097582305349850,1714542564189325950,256096246897234974,611039308812301327,193140621539024612,4346047562017342950,5640912084111479720,904747464207567852,3592391577222581955,5532973477979207856,1578456036822177700,4089277391457879774,427525606662244532,974191586806684668,5209550558855634075,26634435452497090,399551772227314110,2531525186687243085,218299901092600464,2392186048362004527,1083650841748834290,308716129848144072,4306205763469914702,3982533842641468842,5130068437515467586,2158322886501268020,4092107772390814848,246895196736866276,5555631576084570810,3102308126972373528,5146496679227577930,4552833387363117108,888159946757936058,653579979404008727,6733318184507446749,39459144641688045,3551635891813632930,2552703720982414912,4144365877611206373,911854664739851217,1426311650320536315,4942330962744531960,3089186883693886952,551641080515939498,2204741873638322232,2730958363617935650,3966496268362537744,1638742268366519910,5945939723904834824,4855294119366686484,5122936547365003560,4251335212731262537,552919222291127998,1680096354609176766,1261459911050617316,2674666297021068860,59309034540411054,1779427591885691580,394423887732573237,972300248794147986,3590026096261506625,3298935769790640324,4201012714480280016,1666241929972419252,1740510000067417134,2068286230137240825,5740331844037224434,5900312414165962264,741094678064207046,776070652037495724,2070346741603270515,1876551080354793756,2173965561360336980,1827982410160007408,1685318728883988180,514195495482736200,3214004292940523250,5565623310420997131,2991102800218911112,2511155126070080172,240870578308601325,344131059197470850,480225565744923552,2221243797266389962,1140774171158490486,2882895750276426720,3911061274102810710,1407461263537950198,1956547212243282430,1769516278357102056,82096015293142735,4105161198714666050,1461949523885851206,4625990860171942422,790285882651767151,3793624426953241605,233820715607215140,2923015493538660750,128240371448398095,1282516265321025050,210450048057225795,4209370321740669540,361444702180204596,861234449350738764,1500199547993594436,2535347712187923420,521982318215283080,2610140540791848600,6299265133512756261,2386450524899758618,159568170595544640,3191643300888615680,2919608702293820178,6328652737098190635,1111970263610646522,1127107131212915760,425870942596369692,849284226783617085,221430542087593054,2467441316715061077,1696476978352315005,3786398139702361180,221045205292608699,2947527698441525720,2105480836394035932,1402648500452117760,517575610801468956,406388279937297378,4064238845081330580,2410933387820211234,3724782000212687715,1271148130761427872,4056188553231902766,264027853112774658,413862622976612457,1379662890371017650,2138112703339475575,522890395137713175,1268369660655620922,3115234961222488552,2498468191185886875,2177831802338101032,1963971299391020649,2563479284569247820,1061211778144544682,2753908056842976840,307315416093982866,757357285974874028,2008283850336346236,3366356039663738076,5390627043782035170,426354003693838803,585803880480358077,66754695271876983,476860961822341050,118085604837965355,345166494783163013,108503089222478658,747560243699626131,7380550048661344764,2029683268042508385,461614159224802044,1538848398760687720,1513562417176548447,63893810918517132,273854555795533800,611235252452066344,3820554241619863350,223490050771047886,1404023240916578715,893528123458600395,2808112801913833554,2974702422291411270,5411641826755045245,1580897484344315096,301930417550571960,1015604821066810338,54497804381516532,3815179530670847640,2981194569257337846,71482643002560575,2859555433363485800,4031645442480133884,291161295754083495,2788423278405335193,2528622676626932280,4105818736416486099,2604840475589375275,3320943022165503582,1012302853344546696,107601076351786100,1936988422200656280,4279913499259405206,5070424334413499325,1808593954443497664,158656589927569185,3739930091238341165,6931627557891194574,1374284382703037217,2064534010600428939,170292034333179090,49800866866638892,1743182373824775380,3248066083699036056,3402835338591578562,635624876471987080,3845213912798326488,609319583160097225,1948959156654358911,2918156429283647256,3991818670471356750,4649386370535380346,953240649718349265,2040500254334586336,1174696928975664532,1666684615777303260,772509029712277367,163464229102064183,7150104352231977663,1908176941560467685,454785837509211670,691025541380669970,557654014413318948,532856990145110682,284425725995713638,3318589172804363850,2146727844475200260,1285441743060621888,6216310886286356469,178539603160344694,721955625524455770,950871229643839715,1534400482968368148,4074696481942403472,89622187721864116,1344449842209186900,820963764482037345,423246618569739242,865660503237184968,358035982631732925,351617095588373505,445271121249657006,1284559294402162794,3697654839405148713,1147124731357146240,5488526518746726690,1617885233505670968,2025759452560536864,12909072143952216,193652924411847960,5810093013722058000,1670993414710843563,3594823704121867084,78553075296416062,3142396228712974320,1077281857802884780,1476910691482682871,5585780968648806849,1955242878537189715,3224975617919866212,314992119092227830,4958062646423000952,879751392933401427,2813177510335544457,1933135042400028006,2689686884141523675,2217372812341725276,3817163380465389726,4090913827101677691,2929741749968853375,3615673618145760825,3826221207431714992,561764215162597395,2759884098370789760,1814617373726614552,2515277616279276600,610633419793948659,582896789418865107,2283362058141678636,5785079740103298,57855819908673300,289304212766355900,716472923991866982,1618451516302780784,2996178468519414474,1587318308287360830,2306284501117068549,6829388550724824459,825195463203119606,1285757653353769234,4590949811730668865,54845959807148736,2468282311803257280,1437072947610240717,2890727248331308288,1608823487676046740,5457839224649637294,283911995116020558,573490312492225207,4604624606982800316,1962686342756905755,1235929203420060762,2038220937074058792,24953842999013133,249560063578967970,2495816977573399500,4194552610966658982,1083503523109803030,2366707495595542770,498824795278429225,6026502377704954200,6809450446939587786,5522644650442670212,1322662663233419465,103453144379500629,1310263726540813835,1415516553419664128,446245321216607244,5206646387015303580,4597857572904153488,5074266996638882280,2041078052436132605,2072074941211783794,616455934485725580,3464255445380659647,1827227356619780280,1636113828769498425,5820367674761330488,488928597287955166,1294732966264334010,4809881335204772865,759247658494308624,833666802379614414,1397057016857588826,1756829665922119506,2289450594720857490,3384354871424491944,4100569300340895765,1119363250866924726,3012491989635929928,2324614877524203225,736655447656466709,609097436649722241,1657532548857982120,6133124503927465032,60820891720606185,1216523028503882820,1312528076805054216,732010947463157641,521239939222893534,225564601262035860,2500521597071587647,1596859027689916417,1161921736028131848,708279367114933038,1962631489193256980,2021159047715516712,3302462724566305216,601477170277371613,60582292680481251,3635251644542546100,207075998627157582,184576191572384247,1295890596648568296,1177925099509422926,3917257527749060400,174506008747238917,256134962087398584,1280785417209866520,88298619543095255,252303556115150500,3690646168842784107,1389116528786895956,662832645558050580,3792033887599049064,481206363770825325,552866155030454465,834324189738281544,2291107206238442244,1641075190880501248,2680667242922480475,1488332671805817408,6208326731109052112,623991133513322841,272873183016010871,779704932309681100,3417601708971962064,3095256605971916575,1549877527152264513,1525632857405139348,821120041752378625,2138703639587132548,2057613054871931388,580087899278917074,4091398922516860188,3385380832005790740,2350915119734452851,1090976011580382361,3525653253174153735,445997458307869748,4705230967665195690,211830583072860756,1643271932904313256,1039348029713337252,146587269574567836,3420664382039451400,1232873126447267730,927372519177797895,1170810218032455072,3655730865356952558,562208764899758925,1080067191728078292,410060885486378373,3586397787243874029,6802196517695557560,3241398363699120180,2872820173141508499,3423125716257106490,13475625580023192,471687507071900280,4043383885253484000,752916972862549711,3436793815490628030,249049206479193568,2802044754769057560,3282397050191400090,1687605262960399540,1616948641787929162,383696142332253873,414000227328672522,4300635352005852720,1602906204653530920,637956883665501201,1549182639792605956,3588203543589871536,1225899416282231850,2975981878660156884,2950779153068826444,4731269885940364254,472249612150942232,1944555137409378330,5368670486341440072,1427905092549176258,1711841956152958836,2260256654762520072,1527357307360254390,7484977997092370124,4221129147892965581,180875238530411394,1205938570299000840,3100973236784031105,286250223098281210,1147713902109460674,1187035039133848824,2369093753526775074,1246094848029153465,193993711839702708,4526908834074558680,461852848926225279,986280160675484175,2854250853903999260,2437168179874051746,266869525672803062,952268724004110394,4227701692762349505,2838312796831615425,3104423563685785610,597063496452641847,1637937847629903264,307640565085714358,3397454932943864775,3132279377360308764,602691071251039398,436518785817419841,4172340884379129161,2417169838134199740,973043271524443221,3994055156977220046,3206467566364261545,793865805461756502,1062689247245767540,1091805192025171526,700126773132560517,1111035960308284614,1873570273647666615,922985957965171410,2980874962048015554,3340317458469412725,5280071822441934072,5210465079225052629,1255978650906069760,2319154289725002129,5136758289509966544,3268547759581911332,1706180429105919708,4115330769676978350,4360628681366523543,4872440640730438035,1990664712119019616,1533157264251929132,1555981862293394280,152015236536143085,1520282623232974650,913984108366792842,2371982357933484345,205941090624306260,4634071493458198410,6732351786560970680,3968031669190979838,4073354302792348707,1297618034339206960,3188974228747738347,739071240005583675,5178249516600769168,2005659680925368736,4222564917095236050,982183152683641258,4327421908310813416,1412582927873326992,2518355116995369304,776094645473159955,6895925142376530048,1713043051121518466,3204644637817351732,1481073550280607942,742863566011149960,525466290566612984,384078576860980410,1536445750024968040,1554617608984063808,12942271695619035,129433788045248610,2157414323902491500,861227563918642188,1681829477246202634,1911313153992477435,325590000451810911,4653701907426406527,1805044021014271107,5835996538997834496,2808824222943940475,2601769609361467968,15867003334639905,952101580788483300,3613332945598672115,936757324200256470,529432986110463159,968602100932220148,846864010576377948,1939960641385925580,2527557881638011720,6783009252404534388,3090761696951014880,1018094478829694872,1223048903220820269,1233413930369200940,556274833698663505,247379157757237887,6689915886043294776,3573975950251394968,4672078410865027050,4314865539975215770,3359009818247155892,1820582582691948039,43232958570586455,778259690530873650,4324034047715860500,1709529380983416006,6783026447076862257,608119591927007454,54390591193953105,181317443425583010,725226084930019986,3223502090602541360,1564463386140457422,70859946779920935,236219974630646370,2362401272066772300,221945945954329539,2959531714235046680,1854937844869153360,1210166837121947220,2121671095441256205,2324861205902117094,812105921286965484,631464600759399690,1666091644011378927,349211903283805752,22187304034992268,221891955726110920,483698133990008010,3489481621038581525,3230662647459420425,3091085196112352712,392181136940160102,3148915246041053440,1264704935821841880,6415135083657954243,1639427672290282254,679995152179328208,3400265434080016400,2054149632055578831,6140781085575047112,2909176738753859384,1618166852944303220,5671479452307864435,1099788151377671605,2771025942907432104,547169884658265150,386248291922320947,2092094721392353775,707509713618412782,242070926977568072,341050662418147697,6418831015394811912,1189358387530145670,1459047564937002336,2770187072434854696,6700939508900868632,1644681548985588651,526375045341715560,110508420079133495,1326213878538717060,470250081778511034,703589240838580150,259450301621932890,1112024455942117860,1802320326234845984,2048228918169850776,2304151773208449075,2147505632134662270,965222972479882020,1511863524635506032,889289028255652404,2445250884517133972,32793591287657070,1475837073863412390,6918970735822049613,2873341929166929864,853238532590544656,1171396693141184730,3771603858519462888,4228862537934452088,151354520106512992,3027347647857548160,2379204490028745760,2869655331545305912,598054586350383108,1248437048187644470,6023526463933411568,4975860479292640260,295878250999662258,3079340450586600129,3218691339226159524,1172540690340866442,837463876024288640,1743274069159443630,3475391603392993324,1669121901900383966,3927963032768436936,3821523666993135075,1998107318478303252,1422707412675058902,2640471991384898125,2517176906308907658,1595931728823618435,106972655293777504,1337271673153077200,380298667344210867,4889969213231125710,1727881312090754970,690499952093048904,1705238392311173534,5298030683262452984,3033733910471028126,4806580741371700375,748610623063974371,3948469386106830288,3389373384272791470,2825606985100296096,2157771047802008880,444656221691742354,5470150965587450253,3323619010502704608,3064253300600498489,12512649319538925,208561834616601750,3754431258918628500,2688360128319952592,1788619785542918073,4983303648575226660,472483572714797696,2448391269646893816,1738982196486453204,4230950035362637910,2916366417799388475,1159772232006702416,3818965319760992674,1009479370558175610,1070284220763261864,193506311876255460,1451420265954201570,916935489683236570,1432796444834740195,1178899243779062304,2231769500636797905,1678848158770998867,2368779397435728144,6039326588214026088,3225762402369888324,1054375783364515770,589916247751882686,2876392785329958519,1131616311567645042,2780445380087158056,4180813485998254380,1823763613138797645,2554101345714450252,1239377617431722266,509116565049331779,5091596406722865150,393336768881299938,2118780332361005640,5821422688608575584,1025269757736024256,6463788928479035280,1442978358211689096,144482898952615812,481650392691520440,853764994637477330,3027463918545702680,1632197600276189652,1373982118098795536,7553881052657012853,2442589246267126635,4440017318288348025,4329136874598685320,841679799680159352,2096976867227526628,7642294672320525105,4662026203274388360,1663933122420057684,1911601808764104954,281863318500824103,302520807572931065,605092733173899550,3103318091419294152,5069477457603552252,1036943047854256480,1575396285294089130,4611265388133598035,2903452210995878820,1550728323855223422,1823747785170767896,962653405337749350,3623105378016233025,1033671402743537970,922040033373947562,3899226110924018979,6495227600392120176,393891379181183790,1044290208034138980,983528972216503662,637113109303423801,1866873972621596499,313119881547449860,3913605756870670712,1464833572962389235,1436030507155012755,2676008175941779105,597971552078807940,3120595515048037401,4944124221313000746,1547163638639701815,4054879350110002941,493431434460754625,738141041131035171,519013238812613721,2545631889153944781,2202686254732909188,1947703494829757220,801118562145343092,2868940624450470768,3346936915173489135,1716873601626483138,860790917093255460,4972784446277339157,463781022341994224,2217285658685576376,1991181834823289424,6516994084270787790,542440330183656612,42912735065566494,858327012788402280,1521307124662354584,4895057719491341760,1132032750556428624,2660506193332919985,67982772434880216,1586398293471102160,4499190549401035590,2913697380346371625,4745705383511192448,6847391787642815640,4254208393588452019,2328084936763363740,6219984362180718096,4350336361487452734,360306970664139732,101349979443568818,337861700923981100,726600186438258389,1352504628550442262,655254575907820536,6785555996346382017,2789740601647731540,682789837602605865,3549447096001311988,1943876529167246775,1436317646363354555,1529965683797939605,2496959905252766616,1244547821975043896,84925572980308647,1981763364232723470,1407213926379484120,1747897210532725086,772600470515731953,4506106550670205502,2157803938051737579,4387127677272049920,618566332757077269,3436768517838513450,3369749938091341395,1618141093149514623,394682774095527400,5526023243217434160,1613394264112933712,92658209831314093,202376920350553365,1214363553635961150,1508653792638264816,2388914452795347060,2615572847310498848,1667915116357061205,3381081404741351325,3890528269643057707,713046861109970256,4223189932353605178,6408533883779496162,226447734184014060,1006518889315664160,2226608959360418922,974505046249005588,586717645474091079,3260469540725896680,769073736563658246,1056218804510582085,2361908215118570748,2134245288169995327,25516267157524980,893144303056144580,776259511314864714,2967607834220021562,5701305552212900061,947731566455953480,1482840238505034015,1806709899081113226,2078407486892723346,799044967635952509,7948519343625897810,5011879187931455082,1068138256488527619,17668703979590094,471204953591283360,1178111171967894000,2229613398825828072,1682850331823980494,626093162882049534,335733026050342809,373067969511275850,1216161055203732624,6785041908412548616,3337931346862461251,2569486760539509480,2716458347968765325,666769115469416176,377076160809406962,2514051726350188280,337706250690314826,562890910830760350,289024574376917358,1100430545288053605,2944399323985242648,3873029018883333912,2007770213156526765,1800712854082043424,347376435298156775,1985174446266413000,1020143904090218430,1942481853670857075,1439074833480499326,3084497253051650820,823785181340137482,1534969963076124729,821581651331557320,2717698943337650460,795030813425967858,7950973594236170580,4062687696727366485,102767008444625895,817229945958370398,1882152742464321908,741822059307342765,6204575222140563504,3258012463886851925,1638605915847097266,497178082363004469,4419730432959689680,1550133685535682942,2490876566108849565,545881885686516174,262610095241699805,2626320576002741550,6323796997680476920,1529281848461152580,4045481540486697312,2967747065481972475,4053505050542987144,2169197681675324790,4601292471858496320,4200901988249102272,7073774926902403155,4289180295565658556,18543613267323624,278177445486066600,1545559403250322000,1643609795027973884,4280823807430418064,7949452308783268815,4740137360434506270,6755105748297425526,1776905409859654980,3489156222007609764,4064947408495756782,1033711988646657170,5585390358961241400,1445306653599849078,363166856020143630,2179183099457620620,544259477340505200,388145733607742886,1213339005553521952,622114026859718397,4265466753625295040,3346867943941098465,1535434226948480925,2317016237376938646,2254213635621217584,397795813595028207,861774930054106010,2184295321774319046,1068504605164715724,1459465188713886235,465299383051019878,535525436931246660,7896722463506864025,2853112014468631812,1725452840014331838,3955341748100415169,2201769294160142240,193043430832235247,4504722376935081070,812951611902446095,4378700998188446418,383409584207682270,381733732390276143,926950137499138872,1573380102238807482,761892574938154775,3121516589632172130,7853104589881101048,3928319691011910318,538498554630974118,1708959736071159,17091021565696650,1538320122790694100,5685120026020554049,325926082533632371,1862589932944508280,1526456928169030725,1597356988016833586,1613287346620320612,885703903679609876,4668140876445758982,598281682781691390,3575493643361629668,4002629295103517974,660442351474483044,3648683795453694654,692451768862726180,3185887239875259255,503188023081437694,4193582623937656950,2411037499670392536,1273315117072287060,1462828210139256867,3445982674964777205,233998771605365838,4339504686998674288,62300654210531460,1557645964206211900,3346090698781196968,1758827189251699974,1871070885061730952,181461171831296075,79854821313990180,159722928386446840,2093449949111405931,4088428216966673946,3617234481114294145,2676231053431338300,1176661434589716267,1291409786220119432,3172857352051112094,3940944161164060875,681390641241654774,2564700818097692345,2513436176726104500,1763801833793611656,4294505014612405470,854474937698688051,440120919557676313,3195611388666351272,3134997276115370736,2526410300994648960,30907258152373443,103032754445671590,1164337537327611633,2748890785768671831,1290179688382424280,2087665805330500396,2138667574131301185,5736972908603279973,580528646427764419,5805768626353961650,179872596067417257,2691477578869357371,4281088587941523865,446094987373736907,3414228445643891880,836277412936709094,1146743909010319956,2248419716572783054,2527868833003959095,3267486784626902550,127690037193246192,957754765593291960,3881288335300437528,1016816606455543215,681600734557464815,1491661238139160443,4125770327238109875,419983699133371110,2800123625817330600,1358879572903455070,3310909419017799627,1713538627074035400,1006568585736263112,5808735105521038011,391839533981294355,3624536570710759497,2066209270845017390,2590532603775753240,2651207144173843540,1509363185087857675,1229244894142299276,722953539143426842,1805904599412314962,6252762885606716199,7160082054691271805,2166601959970519602,1784476334257499478,3917016875338389565,1796336060652878502,2804525613189562650,908441663104143290,60864495140896272,456521535521243640,2282796792474445800,370450710617794040,339051848444649648,7629298521296510520,1324945054330549572,1790771961616844067,3765008877684708360,3408365867153443580,372456953623637943,513638304513500490,243498228298643126,623808814906013610,1206044197162583667,1985650450788167790,2783837163328635264,6859098196644684681,2613457991945436930,983434458700827648,746331633363028508,427268260434372512,3738906675410115720,4047749004015070125,7596611248732961886,2538810254957234607,404584541076964964,104807507794049643,706746216936531525,3040330845492431238,1065648721637917910,7141467245273666415,6108470783625549906,1749750456099331140,2237061718148565006,993937464068131980,1039283158392690564,824794066772277003,80557511753990595,3222566885378576280,3976901732071975980,6229419811105384944,4536872851467754648,1791455111172927840,2540867436650379876,4822213820150079424,1737859904736191586,1719579781867997890,3572520205963981825,1573825482895016862,1204141558391081092,3419848493721028092,1988300235647598384,3341017690518594050,321242126862853211,1944682412507302164,635077761956573690,4038161668876521171,5956729134754740090,2296455831216212939,1659839916722947233,620174809614962496,1550565047028340960,955902072437736080,1858664687057258040,2521718692173932620,3468716734442668975,3663183961767112335,3450251275671341360,4715275069922189864,366908661566472159,29229286298721778,1169267939039093680,1542722781064256520,432127629204502464,1190474300030337679,790402324913280357,2482999742585607016,5956933734595623440,808270858070542620,6353631341361390843,2738538675157992236,3295932517765066347,1233251212405531000,1261349264075585346,2522149623096836796,1866219295903985457,1256320807258372780,690214704864436110,3137825239107283686,2018409925102902525,1738952724913583745,5946714839973947992,561857393361823960,2957948240037854238,1484419521860802220,382091466386934228,5731844323341886380,896829788859440630,2279232195550870191,1201264863622912344,2132221607830320968,2522275024916388888,1373942069950111515,965280132081378092,1865962333857741228,815528830831204440,854000279098337784,1083376890344224735,2539653660017153412,5231004218070539592,3511530473261724011,2707685304064997310,6022773732510207890,1155689450781764091,1593837284602661424,165617408071854194,4456881708024863538,600858459700104450,1440843225897538365,281512947316056222,4444946952840594513,2589107200280936265,129710939959311510,1297216134780573060,4676111680988528396,562987730534761278,651813880695963021,2172891681774603450,7584959763219875409,1783404472578836787,915744764002405104,4893935118083678264,629721180813740880,1618154987439293036,1545271063300725672,1222752200915783088,832343172016468824,1003505765251296440,1326551165477628255,1522587384533335796,873440197102319508,662299669391332716,1480865569271129510,161429097822309588,6457694632665979680,3736779124519218880,1333300855780347336,3960168763901638785,1461823611626766672,4958818642400016639,5377816576508581032,1549572864436308655,350785212780110615,759299374678756569,1051091484898930984,6360662917128860112,1238865513332079288,2086043902296471690,3762178491597472737,1582644690228288450,2897077321072289930,1173341497501647592,1096327339583374890,2730987530544598179,1700127711674832706,1233417597072839715,2530079211462066784,3286847158090934920,3514064270768147376,528518215625093733,2093445737017841445,4442216602469533848,140885946226234440,469658357069396880,645973001737415910,317546680661049474,669851691270459733,817366263658615755,6219167557761699772,1863337686346909029,1403511253094455584,2947059441616932955,767637911957482360,1150432301186753004,5074964645842507549,3278859561508657556,7629294649064503986,1873118262133621755,1948651202318819808,2392125096209292456,4197633130112332338,343548330976940975,6184376862452016750,3059314843931416217,693336250583117778,1493483266936932327,3048738869897063400,398579773571151510,2454232618068699798,3705696384342185682,2192487654939892640,4234517199580227192,3709867955708902410,663342848908016868,193121205733512489,272929374018459432,909839097566152560,3264029589996379980,3189432565308281816,1830741737413745028,579529539416437662,1359375012016303190,1755047112156889620,488754702184905837,2268564794362631320,438516177088325826,1461840251465058780,3448356555665534940,662010116124067614,3279387904419055626,6875643332745359560,605259524518528894,1834768659658016355,1556409557613640232,1638600504654969984,3280140685959836064,1240172447005923396,446824200109637220,5466185993149114044,3900824339435773344,3231383126213434340,8194354450107981,409751233656354250,4917416948350998600,817297208828243616,1587938095875591792,3920454090130019288,523583252489227440,2618130312995334320,86536264833615909,6923467166242507920,2441862667000414119,5037895965733454355,4416872789881950426,5400546911793961914,3463635819597689815,3718530209338494408,95164249553793375,1268960349862397000,2814802465971225597,2944012357152090522,4003151009936108232,1542559517989163700,1291566540081868176,4834883110058056279,879528926688662118,5614641392997339216,4400341933438842680,879904818468990675,2888029107890660358,1728434712381258285,502587577642199952,2872163523765270400,2126977962930866463,4943796416849211192,1895740543988002296,770861539815622758,620509486614500280,1967717860529607534,3533062744840350407,422143267538158995,2084297029810510328,584911618145253475,595266038466795456,1803296688729432219,611483797227236736,3016404733728840315,2397644615887960400,167158910668908345,1491891295440143634,159666643730918358,532265559118660140,3465288893812877625,1345708890156094533,7032891206531430882,405097032730859316,1730333219744498060,681796508255179465,1666519835307081555,3322236482259230406,1808917920932923790,5641209504826664136,4518036271940995480,695855846847609664,4349453544867363600,713441286487398646,786305356709788919,1786313838147765960,4543730031523120752,1241405200440442688,3747100676868891882,4086157724903049888,1909180233561203010,798895444629523878,852386815075005534,233155420238165644,2331744125697001560,787392858374972490,6920236803821403834,1592447270997741336,7182460637298293346,3333492333737040024,2744723293450305525,794684974479887927,1560309207584691378,5030596075417928055,18553872316174128,371107655209857600,7415701895810229864,4555811222428710965,4514784103713443118,655378559239693338,21906874148865015,146057713123412060,3651739972553233500,2397850623687187077,1117668711949948268,61779999839967150,617850262237709900,2756185013731394853,2463977128014342909,3514224138612767344,2927460927523223665,3240888895967120034,4552361274884527440,2206064371078401849,5061193911589825026,258158065054911580,3227238213935319350,3492455400689223288,1075009633787360649,4753555415678851854,3352331567562176430,954441055186912685,865810542644372994,606330851872378458,3351157696292379526,1065268172078940600,2804886250118296491,566043530678575396,74014987742698582,1480420039272065160,2722370077850813295,692940847905278627,2868780735579594843,2607436649527955686,7443279504316792712,8277908664910985055,812654773683595627,6053272383904887114,1421563345101837903,1336091919619795968,1476391468812980210,1715286882573351102,187275320464146773,58390855764683008,583955965205598720,3337162137240064000,2650533388527107592,1327700341614048399,5563085637712488944,3827422924300030509,3130742008918549620,1107779179972434370,6996237027629195480,697312351855565466,4125005675013904674,1029705791646587055,5695497954563025501,5101558975540262984,1509221059706396418,551404868035608258,5514495974283575300,2456000758508527104,358785226114546668,1573510059289313662,1986069520368010670,1420026013730675520,2494276949423348630,1273853330359416900,2676570963074452647,782827505880395778,2609636577733307100,289875916970777397,860048578601967789,42267018419914714,1479465555856510110,2198551911708651390,4014303645622682202,504180891268754328,1628110543184184035,3611686966306783112,1549278723787079340,1062979268150627056,6297542637089637552,2730541046362123092,1116790255073670324,1320162500431955510,368047890106556037,3680777017451681630,4641831168931999880,188164346156656608,70789357749259170,101135843412691860,528130509115773459,6790799228548599630,170357487692020812,4543234146993067200,246898924890850392,617297281572002820,3328711254137143692,4328413653017615725,1596928074160129865,3673438828858548864,3014321515072620012,2695182155731053955,2118860654320171665,1009181165802522070,3249380994679676025,5595274465803919407,3473735852046140982,276472176225244355,1780460277859959720,1398360954692303751,911543039847028238,4067409394340030898,215937241909998471,1988514337322694020,137633094225110595,825865345121160030,3508713910844303656,2310929031328752639,3410722961612853355,909480604398660525,3523362307673902788,2548182173109861001,6602370791302170152,4474011944057351940,1774583187992622962,3406483794177790424,4028460911213868624,1025969089512157005,3621298206179967090,3620540382870037032,2403383335835684292,2377312195575655002,2881130498311849308,1796088297946483100,5421342366567024373,460310517919733652,845550890309292388,1409598891946830096,1752012034212450,52564605869144100,175229502745963000,2628654794515395000,2124209849305803119,1073961489996047575,1875433886877399492,3196314000615298536,939013234713992632,4670899189538449860,1758044582692514790,2940471981006727383,4012403652296130609,2784424940897484232,1507011985025305364,9493670523364740,47472183096770820,1424280410328947400,343893664044913080,859803525435217300,1604276689724741160,3851302719957072210,771536195206411112,369901810336384112,8173828135725466797,5480859670999707105,1322080107331619364,1921672307284581204,5288764515140174754,85235008799890736,1065523520600607000,741736475226872598,4708231910094009072,698798555426184066,4005785028775645314,2728276329921886080,1797403942230092088,2896409702596381632,793248841436473101,784746220469704428,1073563055534437440,1773116525725528089,253931334033844272,3268607799827108370,1759794632360838996,936692422000427385,1759087599104169234,921983080051428669,649840735142297016,4874198103517849980,5191897561544776860,757424731110028506,1108323675301614056,441858160058494277,3864008609344159092,3888364900983001650,1583876607969524708,3374451715574432286,8258208373346984829,679499911358553787,931080950388208425,5508274827887449038,3410594851191960165,210812630034554589,1754463350567552928,608231213203776220,207462635774185389,185349156820883944,908842619559888017,1755871277855150511,183674330969174780,4459324586656239765,2894128469312346441,1770444711377552990,4232468916199272894,3061591646433272295,2369715330921334488,1763094323524536114,3138959655272983170,4836939971082732304,1861991112247034650,7095376501075645032,2857364036108049064,734176313357633621,1440501173202372642,5224047422750058015,383888918213850864,666979470617504754,4465878019089394329,230510635953280405,824699086253849520,2025830387495055192,3757500536238991717,634793038222921245,5342308514353415904,50462473915967935,2018661135549851640,936121705999041105,838252487119951053,8100792063085315284,4288652788016017305,203091956130737695,870464007970069950,415796966797243297,4752346972601963120,1786661279982898410,1314403089593626692,1771913114962364244,329712125953165893,3175452504612983133,6702785626578557130,5681588843638275477,3192284504960409876,3478775608221232770,869133383855938944,276261276382999610,1298903511856250769,2143694998063151352,3083296752194917075,1900086985367159552,20487519474464475,409783266991709700,1366053817859651000,1503529175711790552,930503837578424703,6872165607720468105,255999919596785964,426700756398417260,2819387926578036168,901600360533633972,2826537026199098370,912907281447736502,4662376452525382824,909830412167946584,1400168442873595452,1302027573175946730,2432480751569909304,2542663779131043880,2680903135701200760,4006365305991200072,1027896362081120700,3346204790946418680,359478713784879081,798905607547397580,770089129278624768,120309079530701550,481274879489611320,1514841654098650662,2659012844582109825,101808345143736379,537011768170203240,2013955452092641290,110772365996340318,4431249552689107920,6262312842035111320,1302972375566544540,537606336891811212,785103177002543234,1669330459150143412,1926000719541901224,112769749773018250,3947257254296683250,2638877592893628105,1829606396172023864,3063843358782398208,21384599473606620,1497041782115707240,1404806042488051404,3056972814779652258,2787539262939137760,6501691765281527800,2533270567536088170,1516855349260792725,351158918209898502,2409202538906420799,407767289067559590,531837991899643904,1506420306603892908,1720993001159252978,105658269663203308,528333602812485900,5145537717174179262,677013643324269469,574810165271696814,35708506799668344,133917607939791150,446427718872207300,1298398198875204056,4613399568823182612,115047508600752408,4026984693881473800,226498319151302064,1698873176718762120,4615244571226537270,5133546507240303736,5525060945190162240,225061924015351191,683112392941267888,4413933692968609128,1487975857939998710,3026086700933991140,6169345822946241117,657088419286064619,560622780703693888,1786053843399169572,1001690568112721385,2839866818822186514,8207568390662018982,1042206052968792706,433761723355053085,3093063872366320020,377070352272738085,1807414062601415642,3916911214149588837,4759174106612927838,1525258279818786675,1216978372685881260,1045479100120434306,3931902526569385685,1284193016572675284,455479467520301020,2917389244634511248,777440440002356121,1099636052907143214,530467246810698866,1478063563169388120,3465334083290790905,2095614882929090241,1658690514265884816,2550427942737083296,950610029142437295,891913753717003467,608434020841056006,56768793002460057,2838666021140023650,6231241363621214675,284102604773494667,7407233417738314752,1280049898116499646,4576587539350726816,3955418489974734150,247630386331698924,560389217322197294,1627353801110071050,3773979516204333072,6192968842031146840,2002948257145636143,2470397090787010272,638098876504907973,629953306454669328,913387973429815550,2604534226598540139,371658951106917621,2654918296397546650,515396620859359015,718263654064271550,714228184694920149,2570629541865286434,3133277532726686646,639048911368291152,634412108608849830,587581925202252558,712705944396822372,228277610848714957,363484616852613636,6045571591614454920,3353359748126495164,4226038664817087756,323662408398200899,1426102299904032316,684954113571552315,897297419681870207,2572859869315948536,1340230052615343084,938678404214397438,6811650730609301360,5810077844725172508,3074651551433739280,2694669142522077014,50411398883936256,441134832360230400,1890728251731993600,2145018134884352328,1671083138523488415,764393744049886615,4575766035478526175,2497480587075834385,1315195882816293205,4587147777445681935,2600984374620557785,1968810837584586125,272198165286291966,2722198064159040540,2502803552688414858,2264858334981623934,1747249651477263075,1216456941655410618,927636231836918016,1642872449147719368,1160362402565844384,326905228135380105,763232459181139878,8356862169987357339,1865027738748276369,3964361312638322532,3875976305495848540,2168430656304994605,975013497367406858,119902140202547550,4196908253710005750,1515758937259039410,477762796853300812,2310950965798824270,2305007766041615664,7512407406316335528,5748226482341171160,439863984632315221,4894486125352848522,3097102316377413075,2055210943079823440,1528035786783072120,3712425844223147796,2417015245973939412,686738345884869152,6773914100738038617,2329073339443648005,145107907431346602,3386119864086763020,14542166661544385,727166028006610750,4406968864202290695,145433262899365990,727224004816654550,4659477895368813861,2465093163030881075,5637060247685148585,1889743179168900672,5180713415504476488,6384236888548160432,3022618636316807619,3649359076898123760,6295996331027429328,472371402271658898,1291455870151219032,2650619642966369112,2771595386835722100,4281504786060982410,3364257744008180901,7558860085159373469,4686412387812498938,3590048896955837720,1948130953799778699,4251636742699398020,5401094302959877872,7600857178341343848,7213841108395936155,1690880416837329204,4423269692407237770,579542762954039852,2409834004848957015,2855171538359306910,7322125283361342783,1195384609571928858,347057113016164824,568682219468118219,928292982440522805,3454767260952799302,2760937554985926945,494604363056413643,322740507640728555,432156911086075220,562767731369127015,157623672623624247,1824851940974354211,1920774574583916716,4846315753088068860,1325491255429841136,3679543896590440089,1504039932995412666,1482066727494987522,1621599692310029790,7499064347800342587,3496888375867237476,77724041249692210,777301905406476900,5271566022522201195,216577781218211040,1732759307773620480,4097988542745876132,676465241378855732,5693425150168618380,5352742588334267819,1721285457769202298,1700447024526984012,5217867864885417868,3331695545805615175,5914121759105517636,2760301530390396544,334025721765517587,286872970216427406,1392992837138407665,3051122318982928568,5017824302728193334,1201365301654834492,369153920136296836,4376923640949725775,114432676841252862,1716625790733153870,7494014934832547976,3153604885653926885,1928890564012478320,4693217967406215660,3237842791626767965,3895985631937425312,1332991670038019796,1675396091134942660,4853168257706890592,714696267409105086,2636718856030788444,2542298968220023760,453184978371309450,1290350313734251184,1863755732231414526,1335390539933771727,4679315378423712915,4886273611245134760,550947015455978376,1621030992638414788,982298039730205188,2859753952307470632,657628345874936215,4449897207195556128,5479784785631022291,506112629141044744,1755754054096856538,143823128481771570,319632169011538760,2501203706724944828,830251958272065984,1295145802678049460,1932190053795060630,4209682360354869426,174087326453185022,6140511775749333576,1723162986516203682,1655386516925723580,4393529487872657316,79895350890633870,665847088331677250,2505243417136283201,5915242872950650335,2185935809529445224,2340318998008597395,784149341341156518,143345798842475772,477856991375105400,881167391277014532,208370532717272015,2917417355461840210,538733522757573264,6699383010288552690,1861631549170841103,2851950373439285856,1920814771511122593,4975784666953011972,3920429767366863450,683287182791397208,57440932451241651,574454568633944310,3829998759555984600,3714992075146375310,1288693962003878235,786579275422587916,151017860023224240,2416476022169967360,186239971314564030,931273172853196590,2115772871711658732,2455047358682277990,936105557430257010,6272489979017166135,1567055228619322593,6883806015319002093,7322778732910768641,2594352380620474192,1565887280400222325,807088847326023516,321139880914392620,1284660597133917680,2809636495842462090,5875439034237672600,2524696104209746505,491206646276270325,2640786561948547108,738298598733297268,2707384743131979675,527604019973139775,1942397052533111925,7616668282931227608,2887375523356686108,748451755856836970,4853069987198800914,1591496457638947236,4179538361041706244,239022944779075902,650995300818522615,213580640379645096,1433969732753905872,2442486356086709511,2198828707726601258,822586062405817860,297850422632207448,56656829000945588,283306405455192540,2188704772851598515,1847345274786540280,4215007254089276352,343264236242675298,6635213714949114753,2590150265160273705,1419439944940379375,7041769915133631168,5800570663550373936,6816199772075676904,1367091971959304228,4787527000126257150,5301636149731788349,3575218627685862445,291143202550434189,3806192070658601744,6255252523048831155,357419609812698804,6255334186487946630,795314730818572461,1402308400919528277,1733174247535978965,3498904720023557980,6318011324493516942,798795925154445372,70989732629337352,3194788639147691400,4249730879711805803,1296260663776895684,6966500301472063176,6872985637043196112,6674443885813071060,1641234541485399903,2820014761936266875,2931516095398235340,4123765274452088859,3933783599717276220,1998968998348549014,3091173697369346568,5986509822010068183,6272851396154289426,575873545885470810,1919728986502443420,5316458561869670061,5036617623081182313,2553389200273483528,1467955278843951990,2890469429500434696,4437203040522396340,31039960675874813,2793815394633980730,779999839163856325,5194956281546874897,4288590300939851775,6420454978897184094,2019587775161499208,1116514433119801920,3332805856294522125,6127469612550338496,2327492738568309867,2622814568033508033,7871558962776686010,7019704066409106912,3621209418054573824,1394906495085652661,125338577458741980,1002787135999266400,2156176240560812664,3761417776725881400,5356986517487630466,3053594764224535804,2976027337653353340,4396269318677314008,2292620077623742700,4854010388342834610,1705909400719482192,1467418992045510690,2583050150853004212,4389477310187923776,2811761297204702275,4191921168772677390,455548420696836925,3644672497757442440,1468540081642994658,1431054076198987092,1657529153281027864,808199420756772480,296723015911893156,3475613628099867,173794272807551850,3128541562128989700,2074799630823802260,772411498836769215,3616670700817073664,111409596344122222,1023719454139037304,2347632965249919240,1924051851127045312,742966200087824553,4721011294881967551,938879209589644275,1188597215832090855,2134112474903108949,1651352202499342712,90527275356115644,5432060975231925360,682179491954254980,3592192349606697465,274401511847158259,3078535808985756496,7067847947698726299,7532908674542713080,2645543973542732685,706939331262778830,4575379014600805768,1561734945539727410,894420390983225235,429347388406690456,1610178438355423890,3846011837115870315,2568758498401151056,986113426261934060,4399872731632139544,8420561344837168812,2304074952769237315,5235048967896172656,4901330102727477840,1170132589018223028,961609572540232887,6455511622764929367,752774105611049343,3188715321344738760,1108735991077376025,3643132669764619905,1086741392334225687,4583896579505740273,2450593326523690720,1141271417227792788,1825463995583527114,886074052278242132,1415869945460273376,2282599904215702860,835097325504960459,2161267302298032930,725754716043907296,658829195195675319,3887326448040478680,4304011268502741264,2573379205911351930,655522543197183996,306482760221216379,373797611733039660,8411101887846439710,2150779853381787765,2032873258917165828,2079212095902647445,1560381762939478960,8636641584595436637,1354599786413152926,4959514579318333992,1346517012641333696,1963104736284207075,8571148122282498441,2404191942143079572,246760261190351088,5552538390312385320,879130926909454520,643347108313304238,160953420628603434,1853190984837194211,1354472681648680368,546925576389709020,3002075353023872744,3360630048209606034,4479360359736074225,4007050158559696812,3861955391381494560,4288154173541710460,5087835115873628928,1212233675390915166,349884903822743360,2099472824880105600,386014089514222488,1930220661014271560,4267871460280683840,3546498644292255984,2835231210888284775,4604628444988725693,299330164392751530,1509877832987719821,458905511232137865,3278151514827641250,1783721481508800594,977281596347812805,3315303615392647692,1349584765136503336,392177098343302465,2819390523586034787,4060494572353630407,3210124883270264868,378999277411415835,6456644720944394120,693579315415587804,161498472808512027,3102380180712780985,1421839837904918808,1141018472034328230,1638183789655213658,1160036181981980130,2641687480206002352,1268285451630812156,1483467320059139320,2577676122324131679,2521118762447623064,330841315632952202,1933293133495958814,707156523880880145,2928738950305214048,6066515567006410779,6130646099548816736,2078404303120007883,6670009661905225860,1130176381807748794,1341604528153546730,6583114866475486548,2389317820946588357,1273706568009275595,520731216181476324,2443508775019146056,1038710895395808016,1207376624664360612,256571736839848935,1710611030749127940,857484906929496654,2999382308485431380,153335550620013282,1533474516587483700,2120417649561322059,614300021922504603,877639561449398190,4786343183034888024,3981528729891702540,3905716609558080828,2358562573934017659,1756768772570076518,7218689344318588266,76640413366183480,1916158959418112200,5869501813593371247,2003636109066887030,29621005545061504,296233027764038400,482932045366335543,4179967223612209190,3353042935645115364,3650757420110148045,622954925073373070,1069298190896037561,1136332286569108722,6266008254234577359,3841581589854028296,3066476440069522225,138694877591312888,1551426427266239628,7048282775335929528,4897199221112168364,668701087878534960,5378982606751344184,2180183812039899456,2161536839134683192,6323821311422116584,28277798439593085,848399673622425030,3313078695388543256,1697552428462101816,829215039802023846,2620262900249398260,6377424862803302182,216118485905178786,401185833847186285,4012169008795739650,141457667724575580,1818882267351127560,157112652044702832,589218060090454020,7706467567702335944,4374989972398493665,1464700910660557128,3951761522328170046,3476978751453546312,4298674962404735295,5283588353372716410,7774891796181595095,1254494589594909252,2106807271821157136,3151776948412460730,2641537589595914070,1863202709450674012,1497664935266523265,8924256572751347436,4490056026900128435,8672907300774385410,1234634570601378354,479572104947550696,1192641948708427094,8562614287251828555,3443783739765939465,909635825661851062,364418149185453615,1457785307308178660,1078398191084608604,5522926661634410880,3544850332039584712,7543962004436374644,1072844157250687248,1133472054323416858,1302529233444547850,492843804245075748,6404801198527550756,237137272492692406,546483157441668459,4090283984142445775,453071102571093402,1519512280028385201,412167972335534145,3663998363139975600,4512180894380828160,619862538912691935,1563116904811876968,732615719710846197,295975083866814041,8559352351773337140,4231768810715403903,683827278822964238,4052918013776627410,477528006345526668,5457884326997787200,1586536801573928636,2694611861547362937,7536052242350623568,3368492461718590563,4363922093882296590,945999199228824884,2835025386445703072,1055237790146740962,497628444661548510,2385331310329604800,748184386346833212,1325690323551359787,2375048778483310428,7527094202126707032,1421581275283085780,535928406513842099,1644055699508526975,1348001835946361405,5468372833455744288,4785194681420981580,2791575726191831073,1234407740735350415,1822879333786978656,4776004368117992988,546178575504672450,5738812843332495648,752365355746253094,247007737308530497,2736300718155674736,4256854598711728160,1425788849102541675,4185569742940376220,1249717115729673664,918381113976307851,77564209417359030,904985520384228710,1711236229636718142,2509994227874698332,2129463969245463088,165930039220343985,1106285496885859140,4179164240529862585,1173616304164160344,917719364474382186,821904769669742760,57093107781950229,1141950111819519420,3579249430857435068,1759031808965676548,6533262755801936460,1188105264523953366,2914298298279544731,1902960025321100949,2315081834292709984,7882367643645034590,2055639260652012972,796956592814186742,7237200920668866392,1943370516398165748,3791699289093615570,1049674241868948192,1210086549689189268,3006447279465329625,5602883995549810662,499422011335899990,4296025822730994504,5867891442205780064,1586757406619471814,4994934574790560448,547155723999889290,4068105558063238515,479180404476931374,4792172659913115540,2176174650732154920,4893437246776030820,5559603895303333068,845884999841570265,4085906110163316522,2233218668447621124,3304223745274991565,3829170364632321054,2835728137759897728,1054240554441310749,1280689717499557384,4716201819111141240,1676033462166474990,1151549818820700424,6845674446150558672,463582558742257284,4710293802747243360,4972121862952061010,1531776165489834288,6319496765646484259,7450138480646567312,406499808983597790,48146263548220296,320999751410595360,2407683098503969200,3753542322667468804,2167502365777009160,3420887124174221880,6124856665816227696,1133279077761403538,4817136815284048200,2870418018223175325,450955261030802447,3200501961372649626,519501203447892568,386332474186907055,1372346491042054275,717939114765541056,170043175699373978,850281148723638990,393738381512822724,7170443416066729320,5116628308021590204,1250324905009478988,111961571299383068,527984101768258215,251199588599394630,418698108445777030,129949182780382608,1425877057421054235,4114925010345876580,569535471946003200,622543515629842465,1613185566793214799,825350940518224752,4329687226106703516,111971927975149835,628597934711001558,195761331164535702,1631469535303158350,1304232783467137794,859125052511714160,833113568208019046,415453646919437592,92519737810258068,1156585388031336150,845607081610626030,3936357674826666230,6096415231019100472,2037164563939349916,13046679210571325,652383957875443750,288661144899310173,2562790125178545972,3299105451387463808,292180936455879060,1168813298423088400,3807666880153196075,4492788816642826131,2776086595543646754,617173557755451822,94349212174798440,943564394049380240,1137376093969765979,3039030027088184835,7939431016335748360,3077494581992129780,4008897304205001327,5761524843436460175,593997348511595944,5609978383126754916,957493649462303225,4486846029013060315,2494914170037552918,173652850608353676,3593314847632170065,424515421268009295,606497020990093910,974273182962987535,3472115403524335218,6258252038916324015,5903444831882981460,285786147460148304,6566690585104171472,237569785644668784,5345729154139622760,6766998241552346200,2463403363566796112,179638861733616408,1571960279161167070,1867448158076281194,329491094507192790,1464516868058763440,1810103903637378063,6557209969290897315,192143210568112327,3607774970155363820,5174526167532924444,2799239300168452776,1172557501291130936,3817499465554783425,990813249213866270,4370162439839160010,2318176929105531984,1389179861309459490,5770855000970306856,244164983044682520,813945478467925040,6972557929025095113,3102868681588318212,1225350948883914422,19143507040619840,191449697264384640,717991216866141600,3162680361269336646,451006783768246059,3830691573275531130,171557105440763672,2083053266695881261,5708269924573886544,8037959517261795608,1707902711536567290,2568028642533795798,5433023402442388899,8352523346349670155,505296362871084342,7580024149713817050,1232333669355318420,1261779329594221542,469661107535019232,759775707695257815,2486510573882425275,7069019362277614736,2627110809324956304,3461454772959372816,1182194422804594160,2871524662734513690,611629080152263545,200439915680184757,3926249839659406668,608764317619180727,7779031331780613800,1546550433455052051,312416796948655320,1562203144379280600,2506295499534483327,1166670525990477830,643185190384542633,2031325695323971704,854574665725974974,1778059022836939220,3392270297539979205,6754068676594644138,336515131149068769,585852010179902982,6167041729313206532,3697181525027379840,128557442340698064,321418105177741640,1165323938968465714,1407836126045316390,8023263131924994420,1434267053180013888,1022701170087768942,1003317227551011093,5661320517363626619,3650131197377749740,924616500633389514,176254782533844057,1175121404541068580,8399472313629469527,104063338307003095,45438733681475589,454421947767242910,489132552506107227,6307959918592547376,4930787142247241345,7998983625973161132,4761086608239295152,2581562246081125048,297248589972595138,920173139816814810,4958252776002481420,4755997194889012751,1271550413287131744,1788691116580781922,8648330547759188895,2585394668240741889,1226504925835542642,3994071754710371780,6688653902176974273,729138889509596055,2258337724670877816,6143046280150254849,2649654159529042928,3223203433604832986,3466116436101888240,3367567139008035568,198773302395420816,4801039678968314685,2471136802410409609,3128762156693250805,1075070727871442046,499874653512500411,886857992002621578,5152731906528695712,2176507368967991440,3985425789168104916,472601878138914762,4287819803803445336,8849169721086769215,1726883627785169085,3066264573292478175,5934845347571933310,5060152102757814984,1064750203314130676,984363672875754810,805857637332413082,6840443705718223432,1586417461421761430,85121042089624599,4256375505758083250,1943198354710135908,4302615680709040764,2981351321950125606,2013623887083189261,3203182004022913680,1707415851940262505,2601986198823598281,3036372530064323142,1305613584758911872,810812248735973470,128134150562413113,1004414179344921828,4053592035447397056,382366157506441812,6590177320073494635,542187657599786855,322386936039372222,2149409405293871480,658549485474389895,800454608536892760,2728375032039356907,3878089600338981936,830391410219455746,244575436510919538,271771108313379700,3930334229858537916,1447998671833389768,4204074584648711208,874474843356045945,7773699476083294000,862924093278478714,1498768041697249104,841623446636627947,481250472796956222,3432927782652383430,4487299075835203560,2688539618201393910,1407034297791116712,420507163440570759,301134200265216280,752892587812808220,1804280463640000074,4709194200971184920,494172167856208428,607817521977120915,5959292728598364258,3811402589245222698,923401059227897112,3541208593841293081,1852027377857278140,1987467724396710728,4458257390165843341,504459941196524976,5184299965075781224,1393288304718864400,719228318468415726,7917438849613760816,4144847030713824211,1503170198351091270,833307226459165605,4966908924139662612,4453116835513469310,1896851490846987228,350636452013839254,134391952962232155,1856749333288479378,8204269631864493312,1887271133324013126,123886970805224817,204087021927583555,6036419376987335658,6715456345879544097,1514814703082639973,469024863892802580,5628724429568631600,510380650152964696,2552096410759848120,1173924932039628734,3849484651627470318,202332454808447880,5926434897875616618,2778934436934084815,3030504441064238520,4763473463511680253,1767494145960329040,5691526114480874760,2693078949063930216,5498490335075590208,1966317778717281054,672448874724885860,1011726108003095116,2737830022754374224,833356809321048056,60206457685891956,1806330322597735800,5821626397803098778,1852545466101328665,2970787179885383205,2268826366324750665,2421840342867884280,6670414663707684372,1160521811846450958,896885937491069307,1338407172370242228,1867283339578716920,4659902199822114648,8215619582512156704,6507212327755160581,2979747769034242242,4729060048401367560,5770544803868239480,5908266205510283832,1007251790479872366,7066682082417822576,1580352034872652620,151646765046552510,758291102945612950,1565024836470014395,28262462855926818,141322987545434150,1497845650244454252,5652323620070210469,46641162214442232,1865787371957056320,4064515825772600160,1847916746269315384,3702054156344644864,4702192889245121880,346986528033577929,991464921969222900,4794356133835341552,2852113187321957876,8027281873475901828,3604276847052802944,807712492895435925,1594737110458908542,2773487703997921596,692986952313404432,2065997840420621274,644981641229447430,1661076988182976624,9323816869567092753,6966137271667771701,5276279432731645953,4614268633649960075,1389144297639720912,350375425274676191,381035720947503371,5499410020262710392,2511492815971970720,95480058468056514,318290861715977220,530892773656421229,3539552024678353140,4843850918340738675,4023445354891103328,912084253731379364,3542824411764417792,3244777140158981996,4094992614072347175,896497000487219631,2515587102784385544,254861621189316414,364115469309291180,1028882727158978130,4875850731084430610,2590414751920227771,1146353357440687142,2075925821600664420,5096587958127830850,3234955637158119748,2363533804675978737,2891679170982840495,568612838660198075,3296879025834423925,3224450906344174932,1265039688320432120,4304545628617129816,1147593295524739665,4768278444079238440,3714328885342911725,741381274236311334,959925573408605535,2628521194373384619,3289540819001544720,7842385513752871992,2443202328518292258,1879802952794134902,8940708865752285,89413817981904750,1609569854595528300,5208663996037447729,649017646011728995,760575246969199329,1784274438288655040,1127845362672288048,1460276282854141788,4129587376362474248,7357894262918702056,1674846791228203980,95190483471619788,679983170067379800,1573766184799799385,69522312522413994,231758470966604300,793297643999462511,175475355685199094,3509771024048601480,2043950431003784220,8555497733263805235,839911300688209203,4666524713057224650,3859749736269928624,1641336266618681899,1009697489879390640,1295274577029880578,925689165173202696,1104070204225515108,3336178909770091980,1964729093716243650,789560791551312669,1137068694581810018,451329602806113375,1303070554889375448,817491683395495255,120808795516660583,1287806717342177496,1125195563463010394,1947996751217215725,2261908436130927495,1661105087004729608,7202587471500206219,7749982129957953057,1148545475251750070,1612790978653823280,6777603936583246641,1757779713084351271,2490994285272677664,8060221724194728792,1284003835113180690,261349062501706536,1033841103068888868,4390857953033468076,1369870247701774184,3907049302441826310,2707425529727664360,714617831647816263,284527478141445084,2990480600549995864,668364916492248175,575477260803397206,1558523508834005008,4036136449361600061,287621847252629202,6998593240533566790,3012815760124269547,530449994551773990,102032937941477373,1020405912679594170,504416065165471530,7566808452743781270,68282886242345568,512160052617945360,5121984593938082400,542924721101963360,1535705444195716365,2912816117673643092,512490284517809926,2308130279748384180,1657026638141628080,7927027141640808472,3169751429947634511,2276824771192024746,200286044682475758,7010536956622690050,2781314250342258435,614702481058932730,1942615069492193808,756407617148196651,3350378923115592480,9305331206250393261,2628711827794332909,2100824510896868196,1386262867774687476,1863657965605211490,9023702619171221964,3358486276004942838,675738699200564130,445387909520955678,491121382422355440,878268086619765465,5634777012351966536,3648011886636541260,4908504788913233390,1034195076821382735,2317341053739886872,3957319853864590620,3274069869171238794,192830467624903575,7879481814726621045,1988377554910927644,1239076867687760088,495774511742703487,745050888397962422,155300932229842170,3106251080308125240,2350135381022851434,756440510194841691,568043651444829873,7558930928588506695,1022713605318019701,6685456193510664357,102019420936028758,1530405786524425830,2655600710575442760,3351726116664062272,2054194889870227602,782412283844907683,2661394522581262206,1525147934155074390,139464984832846692,5579016531984071520,1291412406484208844,899400179644966986,1610219924794908385,952421665294490580,6799247626465261256,350554134871583316,3505803384249672840,2267441661776302100,1568205971430154060,5280698502579275517,155547602821136579,3999682890528544824,5439938336061330990,181381109449137696,102641651609040984,34686532308314080,13444553817767982,201819619073657232,168020949799863708,108978247154740388,192890290505819270,286775322339306432,239665180112091648,121056020762215224,22440138097828446,90840932725828780,68930788918117656,6278305197125640,100592217723419520,23620439962643264,12010516200759216,80180718523421680,2172552084618890,13053271055880120,392136901773598800,134506721716018248,243526150152640750,78754402572001296,286416460532800512,147342030760285850,5484524389058730,329519968282587600,54486837297307272,200879049446947540,211546994218800464,14246439210247872,190209696996288320,41916834927179160,76184807879194266,39536487553634768,152733738276883036,168472272766267064,48359773959338490,303220354884494656,76136791578178368,70840472667948256,530734539826988316,285641421373960580,113909159401892484,118395220850971480,468851911878132464,202543820402322752,178623664061465952,177462627456052704,53984750090025614,4529911529482332,15119619381963880,219032694005299356,113922771068790450,6326208081767392,21389286114613312,214173141653752540,4124649679911670,123901220257747800,99820452324214672,57107641908828192,42855926254168328,224214795644141344,128920882312928960,39358998311627232,220978753512616608,31946389571319808,13688537924717580,86572310280472464,21681783549841972,261382330762356544,77516933160300480,45714118952967810,59667336531066724,103110741008334608,148778266221619216,80895325166928438,131299395450122616,32790123700171376,104329307459872560,148718911921510176,299749326932840570,307598219921405728,9971016117497552,111764820908023098,358308230351180340,66557397163137136,172023482978773920,13424965929902130,107534738671111920,84757267648111520,173829991763534496,335015986769014824,263574052231531480,187474157557972992,91056095363463640,165836329572618432,401414957444247408,752604824192724,30141576255077280,34802576317759218,417813301800161456,97874914199172048,89600943154853984,127160297316791072,233628400446063896,41300384612425876,472584880384671680,77999003473130306,235027062027832230,127170832825355984,157384933308313632,48240801952905184,4124683026497502,206485663621519800,139653418924464336,75404230111755972,360656883993453530,471647534328340032,2127453806229504,170402390334849120,33473836698992052,72794619472043456,36081437742556900,227658920248857510,249282986527223696,184947003353560128,134052794922739728,153022166444695116,190791379149812328,84048202846973352,53543875860475728,61224568735437204,107114990227645746,99165155959657760,193439915426285632,155777988273196266,39743542513990088,127278785624495400,104262105115999332,25785039411199940,371919378299815332,112461841638026832,105402162599101696,61830205136003798,86521595894548318,56260627710171972,136429015906776432,24712536441458866,44241451122737938,324992436585836544,154773773568280160,69909613064322248,272267433545940168,292826069662162200,44855458933431888,307930717411550254,272370988798778376,175418129256580608,167727197711527776,49387798057983412,41173780975526862,274600865997539536,135587857154693896,234029369120089736,270500386778844384,560071164634031232,5311314563882368,19940249214815340,332717823185587000,291942180220962908,2202659919679296,44103445401671040,27747824832564214,357163759505910240,241898973412629400,521343265969394176,160551707607550882,58662831232430628,55562133876234672,519903343945966736,109666768109239668,42306666804619968,5177312566258560,41465118557574240,199217051457408516,398226004939897024,28761622008265692,63986338700229480,220293409100702784,50808225437719680,224441330953390688,63809710100759018,622107224545636044,151171187011144692,19519399833959408,390821667449613920,539122639012444116,134163182720907680,321386498072826528,67754249912679044,51765811135378788,29519684108287576,30032782761925632,225493935615486720,123408523435335440,89525959409030976,136308789365924920,111432848433518612,352934190306761154,346957467708919680,122795266336547364,184712396675362120,127525549458924760,330311348727613272,23723217200823840,52775579403949400,134468590496512686,66890042124728144,156717658950381452,16276692796232632,285150188307078220,241469234104600320,279469939339826880,55037238433014644,277802598765301456,470837709537667992,38187910973524728,446003939516278780,271826545380567408,60605810448807792,74686586035386912,452760702146262846,286523556738323960,104839275256858104,11842722707246288,88914983923231620,435576985091936772,268558202973023440,27339774903472304,247619709376388184,39117814537826792,319205327681869496,48848134917373848,488997127543074840,16552905539559262,133858672741434816,440363335260943104,490908889337434542,131633489967108336,39747439134718896,170454817606920156,37537403460682918,646949201065015212,70262505139279808,47160622083826224,133592860758419748,216908078582782482,72937082318173256,296377222804767320,346099526706830652,205941618541116770,86647723853959800,117660044540408352,458984855441927178,97935108126511552,253457027140825368,253307528844357260,397482722985668328,223578696798117960,91375689202668560,168830582097207744,196934981624214168,164921609237954832,84469837707154536,239336119536283420,93204290476628244,464203732059051732,655688936441061432,188740248276954528,284459787835798224,215786478960327940,243842028389612280,135427473918292140,433166545409851836,16062215443886934,14402359137703936,36042303207863680,45783116672378568,256563414229905880,64654123972068048,144379965745909660,103687654580890604,308484772874900944,314971285189016680,161621421550147440,440700604642968264,517570799424368326,48429091334087416,31605017538979332,246062202337921060,130924291459792192,73637410246593984,3915125542055024,78380377265487440,251588183004462444,312332082459858944,627815736049163184,277690863476910880,293639587022722864,92942860532333256,182340665361568256,133666374415210496,115421892320432880,416613085661970672,143579061262727184,445098349847953620,65258484659135430,346563822536268064,74554734490290144,12998006288574608,113843821176628340,732050615920195836,401908642487039940,630751548540680226,383815568746471904,499629739786235240,477098003051341056,140598928477386804,70537417462252512,394683221577858304,4875469284576912,56935544641013080,488490991540759200,512827477953522928,220238246790263184,297175432075559904,742286366370053568,243045125087597364,591047274184715556,308593469634478488,127671603752582190,58074541001914248,193767298454882880,128158698726903964,467354694608291056,1207482889788084,60431781454535400,37456225151587102,40510358410306204,636858682036862976,114608154711035328,94052576377845072,255532309056063950,45289939968353856,604438099870062080,82987938128494256,217540601080022118,410175316256807808,20442195295580448,545639406311887680,31163526696210080,249542946672033280,31427702026798044,481468758768304944,8269868067404762,744986342188337760,442555821765762152,37011326951196034,178091962663941144,165101333745230352,71724200175353528,137779807100523168,10875741738133472,27214675734818240,76916999015171840,409351017265560132,246195006855930954,337479877059903396,315643283566978920,20273768780635952,107188052243561814,335188198915666720,133659951637773008,64193257570042962,74487176856551644,106342176331391392,37296380189606232,311088993120875300,91428672531858372,328269863728265480,436634594815073616,151386677107094850,208661955244999830,601131646877460524,593244894364681312,86944951101029832,427111179133535680,337303919841892240,124266237803326384,49497719791731372,412855969688948700,72105687030214872,27731704651920024,13620610739666658,227215818595249300,14132803627820360,106468212125014208,6026817995280784,60322582875501920,182511889792898540,44761774920711072,210464166798327726,396616063595803128,34425320380838016,311936116422406752,276106812974408944,338768146167317490,272264333728530220,59675589987531456,30870527245037178,68279412154445310,330842221237393208,230101918680370320,383712912872579360,254275173980737840,60320236838094420,194523090595709472,118285139309851164,86826704894068560,418759274469044080,27043223214645608,106327012210888,2128420246269280,15977252215984800,106609019590192000,85689537643383804,168505307990412264,529739310678178032,311339356669319552,653992284268349312,725962413720338048,623948178344108492,216912613845928884,256410006407369466,205081564922270484,204318641521491168,167105553479503392,104326517357795896,64231980383501070,7939424041010952,66219468059294200,366692962186930086,160918579368908592,278124113687099392,287228701405771712,368932791706376170,6631229119177696,66369683542602880,415169233323284000,274394057436508464,413390247310855890,779628914585936928,295252573925974392,350255031149053366,182774713475529050,174160556328608632,310339207400324004,592694358173856414,6943053275975362,347450120122019600,211032776110050720,390395856963095968,62936530545143970,114173450663989360,164996655236772128,113816358565835664,22435712714987880,44909619198766080,73615448611383584,549229769896130834,225940108160050172,80859459544722664,82499022897130824,345999102537587408,141539133298478346,502992176070619456,308221357338672320,390854025820417376,60633338058665560,454935769703251808,567171528565905480,364185542890375144,443804415990731824,158806791815886240,229266568357067696,209140917680935430,333173286129537324,420265135575696180,306916388609882272,25099917375361752,111648372075634240,263245314094311024,137452935753389952,170670678200468058,713310598713432720,109116480800325552,80613508919531168,109642773620962608,383465528140243990,369893517094060928,454425975831606464,170987742749774860,246577271014242108,145532236861707024,10403728393034080,65076965304123500,66519760620638708,166515758909285344,139936008701821920,513719577945145032,626674663011587008,14335478625790656,143472436024337280,618730128679960808,40997983430034358,527548499030437920,390563555388816480,577685818320597828,81950506797651954,143397283395776032,322119926621311780,55561943186548744,388017902349402780,285301402878639680,709784116132534560,1127111209163716,11280260288295320,71069212234259460,86986794397983352,319403393940918112,11689985745020304,155992490006999040,93055952332034616,272089522548491298,91292644825629438,158254513705814304,887196775594314276,182494606813111876,137333550222169712,432989209939628976,72564411769052112,339803592619779904,76725178771961304,504319425583854888,363621103552771800,23199883675098368,406322389699479680,238572328877603280,280066882184097576,182043052324991364,4173480208224572,125304069039874320,38230672320274920,459132685316575920,239793096923604728,572147642430536400,408009427563599424,98764780051147336,537444862139804064,259585126753017504,387840731316461472,427450057544284110,346990634019894540,766498482521123904,235278230769814848,610945187273071322,295309002817400260,408398933276819100,10530280284435408,35128492284845360,515617061182656174,21768129697745368,13290241926896064,61291205907472852,814511312786907456,673723248400394556,238824971230394376,90308951334219606,245113250678772924,195584337601053024,104782707210224976,46571267076917150,745719565019559200,30938562179458388,309625784965031080,117515479476881472,174425710061726536,134847321702046368,71182274573166848,45260490001962158,304528983669543264,625936402418279148,436365564607338912,897702934516938,8983945883248380,79918778613555200,199950655055536000,123952649009442916,295273863596530710,270085525714751544,291556451460168792,93510685205027298,623882035674372360,97727577457627544,68860942497062048,148982837867229730,88185456842585928,209277265541774080,516906432341612540,174804431258322548,128369882862457264,34687031494323824,347134030365011120,296093169710917376,10242210359296656,64062375472168200,44833292161124408,50262057294330336,98923664299114330,91951303242038456,284805702699413504,225948448909351932,9726980791534754,389372664227594080,16147185581754724,55066841244180882,126342375367368370,295751547363312768,695322494851932192,259505393427643152,19213873870213230,76913121584011440,63590331374635716,100539508889162410,245482990840493364,349836672441680224,31953700676490304,419192512394542096,846953400763749636,402840644987343440,208705920233771376,181830577675939192,420406019130626424,284684258243405312,127877735200116512,829368696283099392,508684209518441328,664111954390174780,412334605876951240,595096793194642938,42079269634290208,736931472255321280,451866407033995968,909312495338317824,251381676443275952,676157058200281168,661842975303667584,146885887920248672,479586299600024616,316122423866077248,188035580423761728,49168213441936584,109040435703969084,965742259721386536,608596104405497908,815328653116499312,126285092971647064,96152986246246144,82428211348245888,272467697395942510,104788859466255068,396942786150600172,63966461337307760,446901971998252554,440726444177766432,873274444661423104,774623449129707968,583796874518746812,295769167589368210,150701204524962000,221050010385371580,546816416682320910,756249832171660464,169679674548091344,38835026683255040,388630489885094800,728231126012850888,233798299387012192,415779642270476352,117489249525621780,46658380411616176,39264323865891072,294693888444340320,174318523201286336,799367514906534224,719474072124605112,129829362279163092,659697335110119978,473745174361864768,151419397810042200,389830634305491520,417875911564125616,186533546584427988,427699852015481360,329743732025205260,95226520789164050,243657006575031660,246634640626766336,13024329790724168,153615331094371614,344742357017988972,15675343994418920,313728922792119200,516726056442817580,55808383385213570,781869607464926960,652945698642053152,44314735443894472,969655899505609134,360625491002196868,353626010518257648,93170840296735150,144321855262436124,250343733546665472,86804897228029008,120893914033123448,292721034867139392,220168817473809960,481320478146099540,221599307683609940,493222176996382630,267412100629164608,560519011121116320,53134328199562832,158870216488954014,367733441164512072,180655021075122300,45028201302334818,173003256055079830,1034016743360418048,970908092086811832,258896217732551322,134101825569691956,322974853270109628,130429894675919696,751835520914516352,10517077310980912,420974086590461440,22186338464815616,166512485394062220,356697298425354432,531000669674158516,411282837586352144,35391547409246910,39351016281738900,257320813521295296,234082566954406296,624464399871975936,545164294021564812,604976766316602048,367769400730796904,503602203067342704,89830368048397288,378307126477341960,306001167491972736,78548801715868336,118391526320512566,370062299660691204,287148542361834340,102325303075836164,707219514317542824,153648159171306688,293851909200542960,228905693040255968,709814100517502526,233329484206853376,464579958719230648,563706111173507440,888282912330681840,82093511829981168,269088307129512480,373890694201623816,250992909241160310,284443118338606864,48728186135854268,60584504738066568,505211253182581800,164367495955074048,139563094859619648,698486653963759990,201315955163313980,389869172822380788,368268571011736780,33796252864003712,440926908803455554,47571345566796240,190412843770581120,661751389835756004,138838904834011718,623749127291677408,453541954675561856,84640860179378856,15712326174527766,104818691193597120,431251243345059008,277348198949376540,212370184853852928,615746608213071240,456696230204016064,172015302314270688,65463058610919444,982597328063143920,720492841430032896,427694469182523816,577434200532056328,773299721862732708,8576392651831116,171641214841471560,22628186630213110,271717469680840320,519431395096064976,62105020769644188,725035914402288580,455542228688672384,558094866561152368,124414682286389384,18166604319109220,727141386097302400,248184370383696560,10016744221524648,300699298509961680,18326553319112032,550156523727785280,493388531889345738,110540924168488968,475567895445853184,807247511181655808,63566930572843488,265143771292615098,91487845360405260,355721942194433112,586211537255765736,439485229238467416,963270126723721392,389766871869818240,69549344497626904,795115420590669984,619671229417896620,720428791680651144,564848543342817398,239061340396982368,694833044444987392,1078509209552827416,226247872703898042,10056486205486992,301889271015702720,3082752324544816,185084350360805280,523393571308194468,241694123250677952,160933464054576096,104359953072543168,193854379135146968,451299558912912860,114897423166521060,104118884756470402,69248692200729144,188991985115306048,63107923567156392,6780176164153350,7538345669210500,678884614792290000,860009485410068420,546912896489952924,78775291697654526,18983892330330688,664859481516124160,377193317279003364,121568044961327484,221641889731784172,416438996805408560,124238113367650660,728636240958761292,69686914484214944,181593980991924360,575702196051763608,472431392380979766,224035235591458200,354812616532559616,201732484203831444,726777829547284536,40516270521649104,21414018580306416,172386133507798252,186993604167267472,302816643069091552,122110550215755488,463603481933296586,60836256118953810,446091307379920416,302150810075226840,960361372661417802,111807944760825828,575741360075967560,602222004775030640,393677768757986622,150897665839752366,462681393859859104,738500978532140928,605172844725558066,204499191605872720,252496760330141208,290186377849672164,120029864002987484,244241878520310132,35498209393735552,381301437408966592,218548180763983070,235335747465958790,160841420779969336,92542434743156608,809256272264800752,893109890991585186,158861664056739824,67748075539938816,225966584340999040,338244148197595328,183511381653334536,353803994726852096,892118080499761764,669312547696563966,618717899670508400,97041671954168032,310993622228856852,497856701804646072,186443322340982364,478217468524293880,320207126706575946,740582769748039936,33493706919226008,260666301527703680,978233491846656972,250251296860114368,243831972084424360,730888517421191264,361446011626189656,14298193144438826,95637923276668128,531645974093674800,27945873294354792,217489254235135120,136068338391476424,110593360691188232,172740413438157152,332193266203221864,227163826694019264,467012581083286784,153348648529904784,1003291885363093362,288861999593541648,81248023912684636,57632724702235720,230670410667177440,252486019189428864,196140221917536080,124722160179996444,379514989551540294,118558807699670856,190731019711953228,397076680761310576,106353109023595308,257874996136823184,159957026220495936,510175428847199480,129154745502851348,751358639033786616,1174541620971342492,552108951489176508,333122271861306408,92507811386056704,306584352884335232,791539532186164916,443422669917407544,260781097251832524,228742709084455104,271248382739034792,30375421224355668,228074551021845808,490499368184413728,11821556669849664,78857309499531520,245041507796192016,480505621439324936,6034562610587670,120762960329483400,412146358979578496,391599181335813984,155468246237693796,736204812615400716,807332091765335088,463179735406441712,256641462564609968,188844707552999456,245910011527797472,1070881515203129344,736369712516276006,736642826036352304,487888871399975360,44168343774776676,19715767242721172,789095021215598560,212575522526014752,493172353624791960,157231531927556534,608209585457709382,41727263370124592,24134605419153964,310484051444831940,137628480822376184,406443695445443712,441929235029188672,136473723927572538,594774778016816490,489154199610643728,611894914211837300,1030408287509368044,139615730449511008,357076963528322720,137176324104863400,171013957454744178,68758974012814540,1100783747819396480,860387249957261236,573211997039253740,62490941703346416,234591201869887408,504357281808172992,3655846741412096,146318631256709120,258712504250735736,69226226832827736,230887619243510040,102233885581476168,302788261809055360,134293432545112512,214310518497429808,1148312331310516866,23674205226036456,592196294899168200,238043645047421152,194074287093886608,335425841163919744,688231835169385120,540394292485930570,749643598092656176,362011751860261888,463784010344837312,14687916902030208,38770811604195062,332511647489175360,518972775815382304,92657938835242424,180057072538632164,99641878335393952,145522768004312456,108418130054972220,154908159415028216,206366536453187968,294203700751847936,166663876108699424,974464786629807600,631587968637025856,231413023664988060,175840886501709390,109086371074737308,13123719660988832,1181805258682751760,54361210916965556,1160230671611273754,5205619574679132,86809470335843400,273855170481844086,35431566125683728,135227932833663584,409573492991694336,569915456871207762,769225766635573520,695958244265318384,921536557672956232,196064933489107326,369770120449696710,175122144998155440,353561889254539224,72586743414724098,18241525503736840,182517748679312800,23034925087344212,601245422883948654,1224599792232513510,234769348045078496,15867202562338176,396902230607953800,277157320783834040,677933399847032784,572209324781342860,1027291547299175152,978405354336971296,242037690498207744,211655888153794656,448722982949145530,144604881578476032,190840736740020888,319663923705155328,421098111505243140,473435070484290096,31745901774191552,38069911578299472,253940347545024840,200172512032702736,739144322930582736,365829637239596256,47840018960678672,92717938191981642,190071442198646784,210663844615930608,172752977863756992,406031020394269326,155001689180965940,79856504888443360,37855066975507338,252506294825891240,168932734607702464,431989974221844480,432155031462679338,150682113861618872,734155231630854096,464528101736635800,283822730601152080,473171584006133376,295610714173997376,584729549483093472,904488342537979122,962360465427921924,158197509660514260,177903802415812608,49297278325322622,237767253417989010,29861883601128696,7987156780589952,13319196811629520,799587950077358400,708106356603312160,302130435164551952,80642820180724560,201716849714945400,566849140694000160,443445857830724840,140092207240627350,335071270832297004,329697103588450164,103373401619022808,474625524205483994,315816582579156272,281754820315296440,308024938712439936,126668394144554412,329348466434606360,231913455626453952,645236000259556140,87719594675401348,625536844536852850,375993979593133056,54663340831338888,220872107979252002,70133266159418160,1263078893955188160,225882102320415180,749223736967753320,693952174578896570,109824139905774496,123382781754777552,46478903732961944,243094843809961146,211624965639835760,669559398158798532,961993578579441996,43488711184466730,696191945574531840,775802204704583560,311396220400956894,1126509587296738112,311330817215196128,254310937969958832,776218635471730950,905487162045851070,730934434547566336,906158219186674560,820229538028572948,1309233268376427492,716858185587652836,257423489802228320,47657619303574224,11659095826921364,116652879247598720,123745309525788728,56245979327263180,562758060159622600,51471233241283604,325082425788630888,243126995700945234,210156178085295350,112843623411811008,463902904661532336,161086306075907934,299877275092287992,933837809473780456,302220172721593776,163860770105974504,95322167344022580,53492436347794752,936610560873168720,101447449879453432,432830685778024660,92008045893334940,876292217576367480,132788813069520036,352236060565640608,260463633680984928,550557661895298432,876730513990606548,507694462946314064,78359363094023856,392001886022189040,498187791990904064,1159851941687664,9670484276966400,174159644952182400,263555845551891214,258480899986746528,176356238360282752,193065412963305876,131185574643443292,249101545202210896,930538482417482736,1000498374921459568,61553998471028754,194372657980548456,79297213706721780,16384384296218124,109285919714475960,25218571867912402,571295683290500064,9561250021781472,478310130630502800,26093667802441512,130535853123346320,137917968324525696,868716681712890024,29574914051752954,828899814491299536,358638192526426368,725391880582572784,468905508805085000,198973305320310156,123798701557361376,1362740311598401278,90037402852216526,870560678445553920,413553424164517728,221378572479755456,1244598384239034016,127983680820330076,20016217198827952,901191780936196920,287975616395829096,3040108350012776,30416654169831520,290208514207077284,90449332092147770,21610247477573916,170251609365065076,267491046801055506,375861555662969880,1132794829094867840,830456698896367968,740893569098185272,397004701001375376,196924737487203792,16293023258648464,489039467331574320,126848064650950890,423041871242679600,127334417654403456,1202711430457610416,469788639461400272,738357417003871532,362935835387288576,621365520160425780,141117052477157472,309498129572235520,816196990783198416,286505688698482608,286421209428230912,142135502342605408,522906153295297152,63707030871214144,159347974340263520,1053431727933728416,249807528055019120,86334036477870828,719812781185910300,288876602982103264,148545513528168576,53667084574898508,956130436895605614,178020018195392384,628508914507481280,544470169742094512,491040115918870464,252367890737722536,863881844506213988,665728598117621906,137087097392311550,203449895989286544,184163753696570368,800735739936293456,66439354730335392,466250787340526496,557870218833978648,564815021547840050,297924891519130864,88931643978910880,14250260016577752,142573613947749660,115527389530818328,41119728134938020,164560761509898960,18654906822096370,186641812119429100,512454307760192280,196456812016344960,449657098347106636,149133311746841786,85441885586569952,854842433808355520,402541383730050460,1168844757109630848,711872803986154880,835140451294145024,161727163769861988,219229004938125130,865364819371041024,180476789873072784,227259303374840970,575503579423837224,1185778479274913160,1427042099410294752,757662502422872304,1065848843398942530,211719466880429508,138745912902503864,119190525814706224,527891515400595528,1254050936006045696,286059187183817696,349437819572482396,61928417433610,247835157349520,4959132958811200,49615628301512000,248199638050520000,513888085688938296,333097503637065440,496130078289400674,451224086565083262,1169869978638115272,832108893958695780,793289691351943290,481477572222771204,1061614848342698752,308655047319420368,312433171676330094,82256513353116368,470266036666791680,3061286051065060,36753299166587640,551567492367910200,542880821223216280,383250305313428480,93453343826062584,742433860606679920,343605171823951280,49289234348829780,1479393548913827700,879877966601995998,680956859555898336,487667660608610976,137138816463733728,38660047713793376,24221794511438316,365406870271025860,430603629413121248,121053185211164024,666401121691809480,1317436125878568528,107226100266802116,380199549682800708,203561418457501416,1525724726864783004,1495472296871704986,527190622155319832,637711274506655440,421976830641782520,163094872955115164,392607137396882776,907138850278583580,615632532438177768,5376266617693664,242047897422740640,491322077826221480,772040077833410880,543355140306205068,203065075223330600,993830102355828672,929900574303790752,810892240159421952,1067364958517618026,307700435995652352,1502076350719287072,750915197545678284,50180644513858734,950821016309586528,309051295786715104,255573403728035952,738830979304337268,1062836677387595264,247602858513942176,32654090068153554,771679103132967530,493666290083348424,655351526440030476,147265866715828660,137787515427780684,113971127623884832,618873897969718176,167281259288917730,931788692485447888,1140379861170736368,166322784062505756,174457378283378390,21564729164245176,23972119230265280,66328940330396992,428522081164440774,317826788464667104,49969050365122104,913563378755462928,396020118329902248,924427616484613158,1100640044861812000,33855321081561168,451616386219638880,292703425060801342,417198884248216512,344391758680545576,303288497399649636,839619294425123044,606485119835939008,710433811006781568,1217084395577484204,384300767114700582,449441592002012064,73276851989630952,64430457458092768,161151394167325520,67554956459887136,487388738797315992,90849098778644796,515954019022949360,769066936687181500,794847020543272656,471049267938291490,439133310421622250,397989245719578912,114813324665894560,731429228643329216,133080052794090040,625938024563930608,1231641497370203584,1023958557269778624,353848821653989552,267361983898020864,69493895444017800,695260903934146500,195288458771157552,600934324060387380,279562678335480288,1423222970403264786,1147450597565948676,218979886350710520,166584635478186368,123240585015091896,1506441406500782388,150940645410445608,396009463505791896,84524383701882324,1205349132451824864,844518110497293456,48334165356170600,381659061836769696,225029001961091106,359055608857274420,42923618572679352,238574061868090200,480813884265690448,391810652744277936,55414416518794368,17915186890191786,2270395485821582,16224538901103800,64927869481938400,436897323506956962,115455680191516580,361882874611512352,1267272946314009856,893690249432319936,375491985324214864,1241572424505136808,941527505672584584,394316165930887044,334406000696418084,123703424713461544,1591197040127291040,1032849378215393438,309618852052225212,655497582080627408,48071491755211428,1442800215479406420,956685805282855728,1201219772465383424,339014432372228736,114477408500364910,240908398403291210,360351825166959456,577356060209653480,342486462126322060,1133344880861960816,1334820027757053096,262818692564345344,883325469234540396,82441601938143344,98328361574686096,449644086936332484,97301461845749958,449037632248684570,479711669245910080,99460443023295280,933184027366097808,58396244221385602,74823458597547736,47895878243808720,95834849666435280,277157175423602460,872437924135690848,282020176199022000,112023494969178702,320210809234569240,1245170386778024304,103076186775158652,231531760476390500,413948865776412344,41853236762823952,416353618773148672,461505826247436396,284103079268729632,958940576180587896,259240974423935504,42189511257557416,949687976118522780,408356364936669240,516846293829156928,9502745684372784,118837284623591400,214159862706234704,500978859545653776,44123689110565272,662149948103967960,724919805678682240,756234822847504120,246943870167583316,168118589744584822,89288042725139380,1429242998457880640,608969256496489070,645706171115563296,903156339941939280,117329806116704160,444363747561874098,369036851847815016,234686211003628272,240533335433898528,222222467496599010,292162629230195776,692327400713185472,521113056624527976,126779605906102476,202109878151552592,598840326404570628,747545429876004116,1092132279287387280,121130368268468788,46300041495305192,269882849970340992,765951164002895320,344598652838184192,83876418582017256,186473976033174560,923250313012529640,489842798083472862,543811209756485632,196691525863731936,234445127522272576,384646683910952096,529842554300932360,122112119294389500,477591433189318560,66968462879064040,1339955344668438400,688751604009926912,243738442970402512,583528767508842010,230829615430927584,50126482288921584,250741813042092360,82454071064412664,70854946762410048,715388905619748360,332013941260196622,1470651391878221250,372143596827539544,967363723998315288,781762905594814260,844923788738744960,1595080671332588352,139644648002239488,652633451197481130,1016044453519560864,356321751808068032,228487853061866652,9924112350785052,231662995952849160,1130112026275135232,167781291585814928,475834775694289704,297975851018947296,846432565591151112,398337695127299340,142961256851143312,167155475399266666,742010754600875440,1205570746766415232,519216806128997574,119120745046533264,446895399959545320,1078174409025933044,78545078751931416,1178683559389621080,326717628918792384,731467006196075296,444343536610740050,617566306797027140,607852457831070088,512598801192519840,67459131934948870,797815031252573264,154781474282157280,23482152424717056,167801571091879200,287399808333187532,463546482412807460,1110504747545944296,438870370976179128,206180153409060808,69049509702379200,792177106408569336,1521452037232183230,149582171496123332,1175579839648444192,600065228641192860,300507520362788592,303874740757161308,240291906082871440,849515044737138336,684729569061356416,331287675305128416,328728027164482848,1157266338112111860,873145958738593904,85724585372687996,330038111721814016,250079513311321440,787442886313236076,776426968806791750,677462054135928,13554987338120160,67803668665647600,666889127141671434,1578307398394846032,26411950726936768,301978625520130720,365904581007381884,77429379219113276,950425142606966180,441912655943102262,542970575627536410,332813272691085600,937805200628929640,1012467022852931952,878089216573156896,741702187472677704,42444326944450048,66898205695679736,972741265531547414,19956928180723352,7639389705100512,305704104570795360,1490340005607483632,692874498780844436,56528650223091720,377015912900542800,945746293358411328,11248276042953984,168794904916759680,678943211755665808,998489967881157184,477382054263748984,734350794791494816,130705063769066668,1131090377403254004,673898132550813264,157633999825706656,1767248368946784882,188582233173671778,660125268670897224,792835213895823140,871658764426114860,349243507626888890,950337760148025984,605852657486596440,79770458625299858,24537305077603472,122737597775666720,78088083410733904,1562411294664343840,338157241209030068,417549230436204224,103912252715174880,490687720553063776,106256000419032828,311232471735096552,165208968541857764,308582514685428060,143686871383471962,6304854965228816,504597301385226880,266973256734155888,672801001462861370,1199176893993312896,206750741385564264,255303370108619350,991473174606621492,221935983241489088,621962690584718336,625787886468281848,992618624862865332,219016476473345824,590115413197394912,372430045463426170,144315027212296618,82358955225618624,22132924939595968,774971100893478160,313462897351000530,209121177676920900,50569839738571296,168635381161999840,317984320637316928,1537666649277156928,338679683733058512,617195615439319350,218039526885744576,499134203589340508,218049646821150632,498531729376927260,124057376518414420,46530063267085712,309767574375142240,28469557860471052,854435849302328280,31583534568919356,737250141206611480,85476205183626140,92111446346691936,56052499436240272,623583673653561088,689053151738651944,923254399811230668,102992535987065760,772758552126855600,71406372769249596,739075954460820522,247317438878298240,55666676698724736,433139002722207040,83330582532067962,555762821891522160,564852347929814080,675925466676523140,654466772809886580,510201156994103960,589529733567098480,1122641060935186730,1593186804908905806,416842529713901304,662238060948058784,206704914728415624,178641598487486918,407824829655840896,303501633087950976,1358775842667821368,503583238680614390,755769955942281504,332677750620269796,131600094134625584,261298029339960708,102785363182347776,155989206012274752,439468756284899296,583485306021702000,454781026124723472,772838446364833940,77081479058307170,463279201376020638,105343787442001952,226841640700419000,324335127733472674,258644495481104240,633230143550173584,50996734811982200,293649560448560316,231474707544552672,1070740049154274744,341984634009700416,88214307462195252,613255790216702962,249350531813162040,256365623776811304,138363088277540640,489642003620749462,473138451259930848,1006316877444785616,62333763645789756,1287378795231724,45076226913362120,450941964285005200,198544620027860874,13144031738611774,1051941255348607360,345821682261490880,548222405515867184,495294819280220848,1017201149673030640,1465262255257093332,687292856096952728,266164630997545540,811684106205493248,708787556043682800,836941573499998260,144210616494377096,1718429809574395944,63534474941413336,981084002427190026,369337701845989040,175785619536964608,150948777922456864,39640860386508492,396565340249156040,33348570979084956,496999262998302064,1174422997627535340,578776985889753264,854186112505233648,442705634747135552,174884820083413110,653806255566980768,993204490280165784,1114729784422241448,355438187074462872,481666785680083640,613016109691089120,524142444947032320,192858680745017196,92307713780695888,115429978240308280,202596972269736360,851439800467923940,83484538643769960,1002207509001423360,387696210586350064,117899858818035642,363932501316226244,911505947846396504,241812900253464904,670733642918277230,364413873261242480,848789045370983304,580396852697754816,482561236425770432,885770262500228820,1231611469064456256,1017483279413736156,1633770149572054656,355699723403419248,748879379794904160,373780342253860560,170201993955360316,23335429064127768,25938352699348960,187230791125772464,213699889993415560,15050757135917472,169386866411461920,1694527166348985600,1430513452035950464,500692512718004448,1560342741004446688,280208683460885004,294125947401213246,126781723252594404,1001859412517905600,488783093040544848,1563256891261298898,80816087825093748,444581548346659808,511757159460118208,1466269331659046250,1343822720567543088,1445435003951173312,556988019534451008,71010417030447824,601954036503598674,177470694710512924,272744963932010164,1400314575568438608,194594487713435208,985831879911685488,83260986924555040,1665861257633154400,733407193886698670,703669532903330944,335153244940339104,157126470660457774,253696522119968136,1626681671784046336,279639941723470272,486700642903504596,288499097722258332,393630004959233792,481983718211442496,1193966916231990684,772947704675716856,1828873072246223808,601821892629149976,1265187249508476348,805380379919224770,381572535222084976,87688214547445096,82223656499280384,205637736229390080,643916525856146816,183043669463190368,378419078940142368,311247506115701792,1031854433936873976,199208429728680772,145052002828011272,435862445982498642,1184372356993363456,1226051098139354032,82664595222201664,723590582271775120,812566573733604080,399618135957492816,254362373889618008,907878775112153850,635696952441356304,465021829084464288,160203740685979168,583584648484590152,740822830814126480,1533235889492004888,692686079663152072,1605770438993757072,265738687460926848,321594946215827632,150383919411650548,663513192195593194,499432217435361336,279151457133152340,718432255362168672,502433729072133250,381099184143297648,517884454547261520,1700078040018747018,656349524868241340,213767966555904420,476315892809019108,431641025857258686,276595744439307384,350137195965003232,627735763379902632,219587283935633132,649457879818322484,1265139130211337108,85933244317615856,1045564845785801310,837885645960677808,1313821004306925184,673029966876744064,310582685652812496,566795989952687730,251587686784821660,58351123730628972,1268755795963621008,407438468583061580,1354937725798978464,176285095125893344,1692299380978732272,840171468950120958,273934775360814060,153717137713019088,171242726146009070,120487992434201302,94287764378164040,270319680746645920,192184562279095288,643064124531737664,141482537726654148,159224296643473152,128298823711662018,1845293740961164398,45237588590512176,53066373187046912,530861325708693760,1958224394342493468,1006638207082136328,346022978714104164,295884228868243600,879234477591286356,748290110886889536,1165632362553561120,1594026745963351830,1847677930136488926,38917573235482844,1157577374166877972,688404832832741232,1319297488868062494,367203462670488064,42424817876492928,1061013183352903200,411041113449071352,908950786857903832,879500092446806700,1680796963787930478,489883051937198556,101980552592127264,120388117877362496,456299024549375172,341740453367521432,179073198465867508,1715415354146202912,1051064927677202994,164182587422107960,1665699206733800784,93107541497439776,57267002117755376,716101042856491400,77554937682607112,685988222305453676,381146914801253020,84239155245738766,1148818545397120024,404792356273908288,1131887812125934008,1007157658111250800,253546923703135320,675742765787761100,1311086947634084460,434874047990437362,177908173548858112,1463271334909033832,47921174914381006,201355210539414912,147564691921239816,75023996532776144,1688657293774515780,172322491177056696,597846146582633520,232363925925140800,1005923644187390656,713965003666701300,459817518406545180,441715462447282432,385196431280017968,305498530680773664,317823784309612224,440123122405496928,194952377744194744,184082161822561632,470358621159549096,98400306206697916,626463627029420724,40035584086835064,600752054041224480,772788950757559296,1547126551907376174,695542636771401588,27442618060255000,823577294778450000,1131789200976213150,598399971378863994,1114600396201209344,1291460859974134752,172072346100127988,171364316082237638,631761723155449224,133573145605154696,558355852316054970,126240336197887128,1262859764583842880,165539465476581040,907619104100898126,696713562698533984,179651265730473628,1097700297338563512,430734315197658828,697828963160141694,415457622826108080,553646239563991392,2065736733102155790,216182444599140418,737519416798523364,755755519453241736,723054216767541470,107571421936710004,900200499023553408,890181731541123072,372787205638508416,94256496724752432,314301150994703040,1082829826097247312,43494626453864430,1624022289494354416,1559644767729767232,107697952464336472,739842808578241940,428104339441859420,1430713388464402644,194656857354680656,600652395527184896,1120598057467243642,1021672864640938720,903102253642126080,1054460413414195332,758234734023553332,491335633504331500,249810192197651080,297919233105359076,781663425130694288,390316426411370976,200241465776095352,668387247886609860,1515848382099729630,335583242605603524,105416413642036368,820197334496541680,14747243521199130,65566623169486400,491924567702064000,702737072799387108,1633877323448712146,1570181981227176772,530144429694026672,609710195644195080,464927156438198304,670021850935014144,359465479695548088,23572973398844190,2863808179113224,35810287615181800,214937839775895600,74699426788428134,320253734390985780,755007492047971584,80804828820999920,202584795921246532,280906306328960144,923278224914134496,1299453932445482828,204921377175024902,161159744886173876,975415540605754720,307042521277531680,849643458873393912,468838088291071900,1947526200046298772,247138261253456972,582492268420040810,436678192243682088,367738950801595128,413319893377943552,256822012599251928,1719809003061560718,28250342710032016,1271712223437178320,680318883887592330,658245475709303430,1035059724449201920,850329780932098240,337684962411820812,699817417743243072,340894514406367952,416226045374801268,989172128096743050,371275952298552140,84805529348902008,178078129578722496,1449022500366750554,1143141523931977836,202542311150507016,469386302980694464,1753199876594042688,43381681096405818,975600324169085680,40428570707539728,330823504470238484,1980934618253468976,393354349353977824,53335254071846208,1067076944276280960,274300883320108820,1569641189336007480,539684355810858752,390951171752705104,335789372875544352,266759820820439464,403799627285535780,585545963925589640,142661025202332336,1189254976610124800,216939061737335528,55967478205022768,209950901186840940,219045895470383272,77454075691275972,158276300013191178,879617632006290700,147784014269920848,16374465625527408,163801370952344580,1151857295762496552,232137053308089068,301529232618915896,420425723810909432,1061519955561469188,641406259952713344,1441632415228119744,506825597873857984,527933409447257190,721639306759878864,63527478704874128,1363105925701296012,374822406405146232,983834208611856784,389230664034464000,24004700589438108,480259391225155920,585189284903252448,3928661021536788,39300130393105980,902197639486817772,329402477748501248,227799531782308552,183183511935915148,1682276315501988702,1005143171560621704,216186472083203904,1726151386170528128,210923701438148528,485359636804576704,1097520785178220704,425166674807119056,88191782558873488,1355872818122695692,347242658836597888,1331253578653991594,387394225082350836,684913679441102832,426828185391556520,241754779787251876,925700513551936912,685955270082693576,1486971797789517192,923042589263232780,133292944555289302,218186896121617200,111539781410743616,542708627764202432,790140472956416820,365551241355516720,178361740262306196,66708639369752198,882137476755247320,369515381932330496,432882540072347312,1596794844977099488,30454184851360152,352707294954642312,288469417767750576,895230027790381992,214481775274669422,953576037806994240,841205102502312240,204807451252760496,540416976901053616,261581977652449888,241425904959600372,129871858022509452,468056713509994056,318139015019050624,219098790670088224,269352173466406640,223287472939411020,399055693795551832,35398125521375856,1593454187687694840,38960186093757278,711004553185608760,1475267548088312320,332425445707258806,703951165712907288,728718941413512704,607301817140752468,495055243519370072,1719086738816063988,222852326241709728,485986116230471584,1368011505371448406,1942141459682406798,851866071263149240,1488112999991146984,547858427369283488,757032513897020220,142338057893138240,1423858946302150400,222940837120182804,857999661293568038,229304849321390248,451972911599845236,25310525783512424,144680092580125760,112281796289298704,748205008526474208,745794273086464992,1193487306020548070,555619143540698192,1257505173270998820,442461515907100830,449476833795005260,1232318382598205040,212826608644941408,629832687757789460,7786077997003670,389433965188793000,27245826009050348,196543218947063418,1966088224370085660,1247705833920960512,105185657348261728,108053927967251934,600499723722560100,196546785784918016,828176827590736016,540780020613889092,392552429439541488,2043572914835439624,26826284392924224,67088020579149180,837525097825777060,328619878707849872,527384299130151328,293236988463319550,247202330734630152,473397606438486576,1547135185036629888,615895782558667716,101747828910080616,86719299032840732,767000408223074116,511186566781619064,469242519380463030,900666478400273160,280174976380406016,175060719667073418,77451346107507872,60408896574741104,906433118849141520,1465628689127937060,324516620485421628,915969382598761344,28120191998243584,70323693676369120,195851607561271324,1961133443457905052,1183568007791844544,1886830743968678430,576176207262041988,527806813397926976,241976227911666000,1837734285626791408,53302267641891926,152342327590009520,758008512020331432,704863986211701162,56993705554917534,482631659411597312,841723324875308592,1533235594687585614,346520214202790992,1815954191391264264,231172490970678404,55517165039488264,971869150461837460,998995655304862920,263254924415929152,221194069766966252,664438829162366688,252443061131452464,1074061369785076128,678034502643673056,317425527082536984,451941893219246976,737998709544966936,1378301837572224486,1247486010009452850,373246270313891496,210712951528945764,756491976393747936,188140910168147804,510852790714916904,645762461685506048,217416338796158292,842544953913442896,147280374986055024,467532585526291272,195438207179518002,651672883665183780,673869997324983936,649792966299294048,466005534346838034,13737744455005104,68711061775561440,171335846477176024,330835397075841112,739995629634622732,195818776710541824,489705916642437120,247117828437019956,605943267971206812,631089827811512916,209730136924287696,545458142380949844,930148264941531902,276845336979086080,784469390340177144,283940271128196438,507762491321904546,687732318936011360,316817714935520560,56102645430352472,701509846533289300,422038448405942880,150575463449389152,167360124824606840,460301045884730704,445643526566555392,446517166578217056,896972631838933616,1132002521760447176,336505670975712576,40327875281772624,428930867256519102,382955330857477590,1641713566407671848,2084736598658937984,1299262857333674790,1258497959123971230,677551923861100512,1026473849462227968,2151830081172571416,246042092968139748,446792710680782292,915063311361917900,2568272243442808,44959194643344940,64248036243238400,835135426455804656,731673082672973840,772611618773316350,944023023555600720,5150438948359176,51520891627911720,2319182737440982200,434378620545130608,294758135302666112,1061192650379187820,159754512070962984,1598056069292884320,728325900278499712,978814643249017744,574162089755416526,31643194632961072,160496689476408696,53541608023817472,89264495035505920,515358181168917380,240935054696371532,39032721537864778,507654584646586104,1075264810691715920,166267639762274304,1368103643202222666,1207375889515957980,1156595285266377404,137105889398089792,629982355273538736,508813792215048500,831159896817595040,459481274674136256,948485846624514128,1022399026737361824,1050834160947824136,981972197047320192,386811157991622048,1531496972843044102,550543760130768768,1108083694708206496,1546846569466215900,1151586130800624204,62802822739968052,194909315529791648,1427554609703272336,958411208950336360,347763260568394272,241720081599780160,217786628559959602,411448442409188576,1490991581312292552,273732180387968172,571504884410728390,549248320026331716,504533453664986336,125910428279279648,1355103428724830148,634791385810211778,1550270320213850496,490717787813166816,799603683157901440,1060861698532142280,2251264841476664256,591523857558013968,554187940941304566,1711232378321223744,158044030319891376,255661471763433512,1043792622103228940,1721912092896531504,35458771035933168,472932145691864320,1002649745349662616,213862613549653640,799336281995560820,517585196581613560,1577646217039268826,1008159963471081512,495184704577124400,185441637495156312,1952131466003446656,142201388893300884,2133688819671961560,1772114022071884928,391017546909760512,1026585276452904996,390006298590040704,112042495963627392,176384820891896512,343691973664807628,308906251934869056,886970914934285552,124139184210079816,245126677355875332,41601663322980960,83229285327126960,46048069173737916,230312137380480180,287501237733725792,787302104784762060,451601636334924922,524095394826060360,237474135567073608,1272155651996863296,681922053306430794,217959128517204872,66576590299201536,665972900073308160,1389462615807701428,445029658036424790,618183789058048128,1384556920321428672,1110376279672884224,160169348594326350,147241397534214012,1317090610288098552,118119468917244340,708936533844485640,761197723217209344,4536952250993792,11345894038431740,680964451970809200,377341883648811392,798832199933413968,276906145318571154,212909925711197572,495550392842369536,158695638438390864,1852021310133105860,1736800654115524374,42883532044775128,1930354828886369880,1176945418204961010,854793744135502780,287463033241571776,172627751580204704,525300167740167096,279438052480234690,36874571664614112,368859321959451840,814334057453270928,526233994053717488,337084160459788768,258853146690907392,157670857508201394,1451474008177884110,623224310166524208,375714465765871400,233825197602005672,1300774289189269248,147605051658141840,757219649865555968,1970270840782364768,1865209508094287432,385732754391220712,50236864909946676,223343412154839280,51430014591229032,514457743250922240,64499301544485424,426271308992862318,1190782422541518156,402097502067492644,212684076913219056,709163798296346640,1115639104173172432,1724562058592799680,1579266310251487984,297216896826505656,1975702844103661566,526747662520264968,596450922983065776,110366713959600770,825064804375925358,1316747008576831280,1166663265320359744,303488307087981080,1233736639932917952,956894410147898912,713195660902789568,549121153709966994,337900103071750752,27497818584832176,458436427391107200,683099388242307696,154816335273553002,221233433285438280,1352263057903559660,207019395011120138,762528913741842828,961347876543744768,1708061858747696960,760879211093491848,1173465176385468960,614290211224907360,929788303395241344,247604622109302920,1519058054489789422,1773542249700176832,2411651313585297072,1037924233029278868,407868307758062312,25299818303645352,759224208224729520,105197948556008430,1052297619607842900,757300823600554960,119086660049284200,296443085496287632,1643445235113311412,149915841502025592,917558603539035660,1628713098019888902,1188204669579086928,1007425740555269280,169117700376697152,3987857943109872,199452995527917600,594517723443819460,342827557315996280,876951402542421388,921631772832439648,1171033977043056384,538086126926625504,1490212402581251034,1769058474642504430,4031254961862820,64519466319629120,242020701408221400,1224380297669861540,801651704358178944,180962111299189360,484371915620714436,1958012316566430592,589396164260744736,1655390522219574672,2025311767023109086,278936944170798122,2285180544904537392,11175909379700384,167688847522348680,2236520740514139200,1028608079841336176,96582314783157324,357480743216782626,459671621657151288,58734126938144112,783355781136463360,2104355779204602976,259725771238164378,35078735575249352,1403568387434194240,456218066722794208,34305718146312672,42894941252820480,874986991646946672,168373081638618360,688215394337785930,2185584497946186552,1283827917856055936,1121522432323829220,1170700041426829872,1776175264383831080,1600638797181781056,562338133903637530,2181905824612013168,1194307074774455348,1101287322925136,77113023781852240,771359355013368800,746188367356240368,422502287303115936,601814403567032110,324595465238536940,79681093896073768,1135879233117776520,2218324725781369936,1038927376062049670,657168193164986432,1758093309978338816,229439977787437536,103835750596327152,346221642904559040,71800007613889248,718212536079564960,434014541958996544,1797693170201036192,1406468660229157840,239459573783437658,957170771592722028,615681151062819228,97722176017940824,1619061475204673488,134576884768431798,1153856559954178080,1223431351810702272,65358853318579324,280668372083666182,456773301813938928,1406885472281818260,924643838200259592,76119350894854540,1065984712664522560,173542940528577520,46473070021785296,406759005543582020,30715140060007560,61448344576416720,274495638008251828,939978871121435706,905224039586865480,581744856997554432,2041449358138260896,247376430992640616,1517664073222493568,1961617544735881760,1018688724642577156,13264575518555610,796107875452819200,517839766302387648,2546440114104306810,1153922250696662370,286155356913892732,261446451471452948,40570493802775638,135274554541651180,588451831993546752,1582603186511986912,2120441836620770046,40723377939201412,942133650414646176,173955279638240856,773360401282048160,389852166314252824,630848118186972192,293507038248746656,1076559148513376864,612488354073591450,22247540292719580,222540263960940600,1238223976177526576,765172416317643120,594577232957824536,804813374938175232,399331845511249596,420179847015698920,1293620639776281960,2338167644990240112,2158759655447093248,156976719787725812,810218006001470976,1111816044235675584,471949008590870622,347872236593914470,855177432304728036,1130509943146098340,876681093401479128,447720641220922566,297501324773092200,231674132373793824,282330899077245186,517969352277193264,378361374822770592,92053104817132368,1175544569366179138,1736742563780241840,492495760908600128,242896131430262336,130864850540140584,1745369321447045440,263077427648544328,861244528116997584,2369312882247697776,1437610806539456880,1181277539041370280,48221633364518208,482355540857313240,1264425458224698270,1384346586603695568,1258851157397804940,1510891848960811524,1258406938864867260,360278318196615168,106351524477819192,544044818353260006,97100051267279424,573938481050313828,441622038609411648,124161261809670,551986586096400,12423270277692000,41422808175120000,414347157056700000,403745865970463536,249279153668380984,132789427085933136,295155145636856848,1770974544794845584,1766253053053645728,2000188252536523672,794440700967537272,639245959816350648,246599871859066128,125704678113471520,251481399072894880,148036547616441296,4076942163280560,13593698381491200,475915637535219000,175042979509444216,282743208388599224,640913944733453456,960720975569601360,103481756967049916,739366660841660800,2044113506466720416,249169153409303074,700604390186312808,2492006600078370324,573421670789877336,64349051532948686,441781944526606968,968152160192685880,1368695750332336128,167333313528067050,111387675426812646,221041384570142868,848458403131682112,668853934812044904,1299095678746296342,754869951026804064,131816377284768288,753798745235352144,190330989579887064,302599606848650944,559133232010365124,403714824962923184,1590712761728768132,909725373854144120,27046588689202304,2434883975821950480,91718231700008004,1376163812799093960,134829563899369040,227551291384072524,560213881569574554,1411931256634791424,1103117122386607280,768416417995590378,1194259116270288852,1732279145139960768,378811143081406008,316845206765758720,236977582308363708,269796977979162088,768200877029487888,759818807987692416,392000176997470224,737154503138409776,607296949868263088,93969874513252620,1096624721924039700,568716802954639920,91118576548657632,25856033640249906,201159201806616340,1724707894980957600,987355954613323464,698262662220127450,191455666242734516,319175822567190576,1276898753129567744,796235135269133790,844632110308527072,800964053774701728,862752022703466084,53002882320888318,1368797541682498356,668246854499586176,960077757638341200,445404826962281550,1145163082581726848,707432639324596220,615135024424136664,1881518990964072672,466978546108455628,863535595660488928,352675589683103568,622948731719714834,852145328663370144,338823443471021964,440053367416023336,77652441103487942,1019607916353955344,182379587208792400,25789437629788608,143314740871280800,1146838633501254400,800662762907340648,476632393837343904,559839023854506852,252916790767520376,120662342657172160,2172528770391912960,284229013793875878,413108554204885992,836751494321480556,281914229465535588,77828310552405378,168974581230259168,663912689755174400,271161545267066160,544459151360084816,705582216052217840,954034671584360880,615719891236946496,1432340472161914308,129438998072190500,290559715400355072,519193259024025456,542688608698043644,1339686919230626740,1865428780856452224,572299533066476532,647731631064212136,215313486577879368,949463581749399648,154248602515738680,1247563332001382292,482148460577942928,2390207284321300836,1220774330168093808,1169297595606479976,542771902471470660,825910076155472760,469660078567815680,1266513461709601490,153175220811948376,303265797131213808,2012486720866815872,327592687280775234,1018977712173578508,643709024218035840,643083649615252440,794074587658782464,485793459137335622,78366666909428352,1511075870616000888,973329710016159650,474608787239859348,288580349761847080,936344820708825264,807910172451255286,2060695268808615054,1041400447236593184,539329721427987904,113662471125539304,1817378612974234142,125542495632411936,98582595790719680,986097338488746400,1058719193242385364,1244360617388365940,87452218022348016,874762678639851120,660728439550418664,286162144333731776,336748036076149152,857107951855597310,165365329663794210,939244899706488540,1024097170797290772,1247036456368072788,435473112145621664,23738940290403072,296818132768657200,283339103466618746,39262476373994074,410511163809821060,1198900827085130688,133913333383683412,767666069341993472,26933625653577448,538819946629606720,822842707346954528,380628271194235624,286366128820202048,419934610561547124,1397162716431917778,1226247000826377424,1831140729701313296,981894361976294784,584475666688759356,348042362227108614,224481773744322972,426230960738781268,593810366257711412,159634620933682414,245829932204967880,38863622851568704,533674895868643914,137424389982960752,1115329964487144336,1506590153905714380,1388865645126680742,642372191817087312,395610862589508384,533326648154840192,242828441527338504,732438741715517872,1734530625285198624,212140722206707092,722504881447124328,1406250983500967072,759261947190357600,79942134381596160,799638352692412800,59914824680592860,2097587833033046200,170277607645017236,132206768686577690,130521021574634888,192230486543311616,480706446311990080,1011772676011724390,817802269113164592,627020204626887264,302726586992386284,582285660510501054,17213171196455128,688713107069935360,1318783100436724320,204796338076540444,1096438595792700244,1525840180553885280,639439987964542524,1431753533874383616,177317512256321542,974771610165408000,275593282965033120,1177124742209069210,714577685320656710,1156523088647268888,287164493213170160,342408846245097632,1117898990721629220,21448145665156072,429078470462194240,492833468732287144,1240442355978604090,1056853818308363856,216123620160640976,910764228149245526,266942646702902304,99985874368279584,166687927350311920,728604872465725170,175059511457867272,1310732795470498400,204823652697280080,1167488029276770252,200661879801100280,752810756627226024,1004693157680312320,306561251925415812,272079748605027944,220639440528824160,739109760373053816,554574503987964892,226553236080364452,258039397575446368,50173077700380856,732905867997227064,2152218983328244170,801648834087712140,74031937756743200,92564674801224500,2589876282618749628,36334887047183568,545168982055249440,286584143562762562,2179494126021624356,477939496517968808,153296825968295044,1783098650630924172,1858382808917813844,439269809523596128,1109702198711341184,1719735513040416768,918837143853095376,225943005304271696,1713239614269023372,1851508996882322598,675995187073074960,210864908159820768,185605303665903552,1192651294395594824,381911197106440456,1566591205678259520,491071454541550632,1461720228925121578,1296394951370791168,134397324327936960,298740083826429600,1460349260443847312,316082625062268904,294674006372480384,211587417639731056,829594082231996328,718804220292637320,150465224411254688,1085926224046099520,240117013150640396,293691716887449348,719828958842468384,942545899636355700,820872692025960990,157136836502839628,563055655557638656,1643790756816052544,628246800794159218,252092277180300592,1306248637626107060,29259456749994536,1170687700466872480,95179795467607690,190409894914906640,1727631776462417280,292802217553199956,138112374528161648,690744183284450720,217889548329616360,829192758616631906,1066691187418298330,951809359262590720,284040945112039080,993389334990018512,644461171905746286,203136712397625072,343025885967322656,417808918028003528,996966206281975132,378470104936039872,2302407978177253248,1682933907700047912,413331908058053552,469876511469577184,1199261131768147368,436812678344939688,961577943142653564,603722548298575296,363839166910082016,2330101274340645288,1243218906507634056,1246770134790486012,1070609169437062780,906409447649734896,1556221857151515780,179430316767006888,493322811661071840,42241231412556330,1126728018944202400,827898174180127232,503267017340973564,465676248127340148,42935316149501474,514003524738820480,288150661787332848,614163785730763608,1368755579875589736,639630448103926384,510316062746105368,262002993848880782,18260659457264252,26093471225921120,1044011449749798400,1590360360253608110,699312115488576702,113441044089152412,403674001454450272,884311985266239410,1164141136254169710,1858374943281471648,1015242069925033496,137908681310690276,66288959512471248,44188525630589704,252571621883871680,2727428445888762798,588659948915957808,707243591472489216,770554837387679232,2085497666552617226,19295718891408538,965036791530707800,1993967200349481420,1507968078987528116,536717873929729548,285036737502381760,215213760108382432,262894067423515578,1086126883162681360,583071736009827288,2064524575254553860,621540001484884664,138505593680271818,195217975077615792,2565792809508078208,1650331925040650866,274991356753647828,1024078371276130656,288889216894164708,1958785834313643104,1074593296512041712,143560908508562272,615420215224167840,331418098889692780,953875750625892,47706118040365200,190873795350369600,584096731643106808,810853615064869224,311430913286035968,375290342338151744,1094031274310537550,1785220664739994728,325104506174460740,264938826498512764,2284050882790299378,550570829250197532,578682972283750656,1201079286170648768,38024195292929982,1014239768677404640,1894761133360403084,281744791001248176,1233380494439012214,79639921425456728,327387837360752760,2576271960529485952,1345238578645469508,976610104305239584,989854544654745948,602178774494052696,11623041413638746,116260274216677980,324745373879411616,1454502545713127512,686782790807605128,670284213771675636,2320722684402432832,1150726861222259440,297903464570561156,1841555606082422256,186880866770816568,2310523986467815936,1283800238547732648,400514974779413988,2654238070340128608,1535199467626338780,294033566385148290,1013693131986675224,1144326422339631552,232870091847740600,318988247000921624,872323239287439590,551830614549670560,174129690099945888,967634365515479200,1550185424499291420,1412064038215703184,13448831087151216,403567935121364580,1014306573165836958,1076131783615133268,1692227222993670804,200333922010132410,2907211032241855470,1023993795931995440,91467608640032352,914909165996260560,65702612712433962,1314386948731975440,1026752121408750672,55725591155369020,1672193245402543800,737633828684385024,496463987453128064,985553786881571952,1324043195497986852,734488192091136768,749302647623143700,1193454861580449312,852302396047202688,562997428145143808,28508962194039184,1710972006132108720,298611725997919296,849453421900796448,575189711631224784,2710123285905155358,918689764595338284,91496671426577720,1098238360142978880,1246150928247402330,214899979588493836,2456621866385601920,45839372703655048,1375529351521255080,1298382672598449620,448921342784173728,842770915757614464,652173553254818844,138950468356147692,1115529314432715756,1107600527297283180,178705766879870736,805809265659522810,432416600759560768,1116268564436891136,884218450846479704,1371804024128335168,135614790761507460,452163359858081400,293618955860595232,536699608351488040,105137277584219456,1668294260795422584,1060038511914422810,1217794971204277728,1118502235874873696,235078381086886064,2448674359794767648,667743481593713872,2160607323950483648,1880779776732546144,321975195286264070,2422410905911253328,595201139127642992,979571171324710208,117128462059342228,488270367679421292,199137405131943488,936855633720294192,970855077932337780,232209534823755790,2161419557676617728,1536336752423320260,2683226185200992288,1916636135281017542,3075753919369644936,1007241208618040352,2474329661869144086,16938212833234472,762410539221767280,1131359832372926968,244865290160941744,144213969231631026,1239479009032984128,4745420560055056,47466078294087880,1051265985904428528,568079407647329976,649342050542766952,1443633696659005368,2616646802700376,6543251446293520,392693155434019200,932038942647981726,77333658827803182,442016933394647520,363139777417386540,264802177310600944,135925420359436008,3059084705205166560,2688010961458939992,460294386715267816,1868583890678058848,1871267375294113384,2075875592376435744,1443750515354239792,717230709660088350,960943464685482048,193188656624885376,2576489723880299360,450076467367467512,177830378321703176,792655711518052928,253679659246215150,467969878672871912,663142528175013280,577539725791643216,961140706909877664,1143547643692957902,1246104830097702680,343922584169977220,683275927829590212,598105358071774428,218870313312663376,766020827298925408,163265299371376098,197544944948641626,241471156781729740,333432717501875792,634691498741625378,166268401491217760,2993572280345955840,201104644665534424,548995190849996380,939564648854918034,35405868464368544,265609691042025840,190078198228926252,2294528716695141576,802414078317048456,615334627331113536,1977701477097982992,1470021322790611926,2166157697501011032,1586529638387662920,227240093801454228,212099641479427282,606148490188433920,967592597868384384,326868166368857244,518595191541940632,749809933988690484,453452729552021216,217826595383212522,167025325016504528,273460660741256288,2555831919752831104,251596669718218270,768790842545513410,1254419165592025704,1724744106773064780,2415864411243795792,1549438902545642836,1026843140610901728,636943040942654264,1258919499720064224,2779829855643975600,2581135115489557152,587503953381231264,67099367655799136,2684633522125246720,1403634761018686168,1007470099793185280,126694046925363268,1978830766168063038,38844023592720752,777070913198525120,1497482201046448240,579565119529007550,421268012695947648,1051573199228149152,2395831945130259118,2329558338658780026,889433400591576708,1939877773962923628,223272440033548560,568115624915139756,1943859601036144896,635153436588087744,52048117108193808,130152091167822360,298520917053234676,1494553036846885992,1002948985363704512,354484823428055142,371027758445220528,535722499081169064,727432249820983098,2766229737662530728,1997123007773310976,123995959603684420,1488314253992736120,46257983790837732,616923410325505920,257226690857458432,289619521861770402,471666517836979556,320197303566214116,17992923934105788,1439784207652498080,239969227991328080,1800206999391148800,167421589188656608,1802163550328894536,850437240356991042,2126069135760625056,1413397349313187056,2055698240751181404,468970581365283516,1155013874880142848,122675882739893440,1227056578435629200,2594408046867942688,237050287209527140,118975338864777164,744376651213414596,873454828434080090,976015200022922592,161726972664272904,1651945891538975526,285771870191323650,1942549771853559204,70003551132886128,1867213261782738560,1583766241463293792,597741298658272440,1692659488942051840,1672673405750302150,828825877442732988,1560562652868405860,268929247819392936,965037311408188810,879510640624024500,270870280244720576,210612226424372248,2106630770685495740,459335244547506264,923387567967053136,934851503249682312,515535104273551824,455594800482083604,310618081397717184,86194015889233616,146669351801451384,250215163504411672,357536349175222880,2479705320066150428,1923193741435087884,3066588728429997564,1654489798185533904,94101331338233680,1009718073448811694,139899875702986314,323530993183357596,5266114735622104,210695226912630880,1317161659843169000,489328464232154848,732587037076650080,87152591963755908,1162313601489522720,64303177428824576,1607965299973542400,1363969816880801984,1223549883536369942,2168619447393491456,1325945731320262848,361109497454452292,780496983628498510,850102118625718392,1210681183138924644,2120498706679791984,259156398786478564,1936021306228746264,1747935625245877200,1261094153997423390,1796407424901196680,1738162101356075220,2073035476063724652,138860312079466584,2755301934647248974,1218328556779870816,592948933567692288,455646556029465696,37041780411664028,18289414326119384,640282355231298920,1342874102482602284,110747279490226050,158318167834572984,904891082210979840,182982728878284552,1338404070152506364,511010268243962500,1489938496018949040,165581748112732672,827874552357183136,1551477013033296960,203825323217447456,1807117401452167120,333991767935235008,658159975978795152,60956849908918236,522611591923170360,871342451436209448,1391712264730368,11600359660531200,92824937430873600,1856939961771264000,282256596337545648,1605300709863802380,1512591601004674340,1047286715279849352,435558012110786976,1811187957618146120,2433730775505874306,804985185953956616,1346250151009428140,102619959264429060,2382799542772440064,320713927121177680,2216885414436634688,659623477553610336,91314409896143616,456680186770940160,427741890771165084,773361892923874772,60612306278436228,909399747071248740,2242903732861707264,742701895794440232,1421305781661259880,2568139415011028898,1773739519788222504,160974838538597560,322025750795093560,2359198610076815104,114426150500168640,1602344394838897920,373839846124592496,202599464313713684,781955530614410000,619670938480569900,983678456629841322,918655228106988246,130567028077279456,1854825239577389832,2050439790428840790,233980740964961736,92686970942859696,289708693718735796,1622609282851037544,694051810360255656,165972549394388808,1302363296507298368,215315728667283870,1675071837589548300,1692414687266268264,42573699118020980,406593575240784078,639437309333796066,1461663968580463200,1739667895652581960,836353605015250990,1402534739451168932,1301894827794893920,925926271725334704,209391994479749472,1318427245834136648,695814997763739744,1454060680281140112,563373002638265456,1208537557673594792,633163892189460984,3011681425437164916,199017975250551184,746492228019895620,546079137603560512,1307435872186422216,689204912384976484,1086483458496809322,886709896589022012,1475892497313663072,965729595657012368,977029472676336820,731601305557045560,1220862067439999488,274447519563280704,872596717147575420,1849513367536554272,99499912171832408,889675535307279462,159444591294345498,560245807656989440,67335193776464576,84188629600751660,100179185156021412,2339540740557514728,13334685714660024,22229657004992580,1111741896932667000,2936642609678248640,2955788314758597456,625030670220632312,458190168099629256,81469039030816096,35623078636369316,3206823202114848540,648167905700287734,2405437054726183040,150955468284064080,905943417132869640,376418471205157632,275503627424605032,433850924177163220,981695123817353472,218713941823893516,348285925417007872,1151721796657882752,322324017053890244,1078919813540058372,558128759760516756,357759251345666464,413744914026753426,1556071144333368012,1413140451266178048,515216424934437912,1339488903534146664,2186360964574918740,1122041590947868944,1130965255734536904,123797137953862800,464346742998730500,103129901401819136,283056608538736928,1463145695949067130,306072358738603782,196287235765270104,2238841475614889376,705937707971909272,266211861148425868,349263363770353008,66133923072171080,1058387178725553760,593910151646302086,625152918502478520,874807963156796736,1156541580047879688,263850684574869754,72371697184606456,723883892941074880,282932782011969532,1794459823984969218,804116586713176100,168678552498286496,421793542230323320,228724104125691930,212609088846723072,1215188826354862080,219401640247830656,1920206217607721120,430918431604381008,324212544555339232,1373115107010395616,196123202951508308,280240424649247520,1475662888950698448,394819722728743212,1293679980644447382,3055049264359794024,1882038875419232880,735864489799935468,282377365062176814,1086538664959464864,2704421300880294864,1083170006627326722,420970389124555428,1508549277120468940,265303545974300260,33357712082903390,600576448500265860,1156591428891830304,486697347353282944,163130609575688192,469562355189245024,343780115429583324,26557593608831328,265636722998414880,332121889138642200,869798752794909696,246345399020633784,566827894098671688,2609565250784463608,2202408920840572276,223007448657510384,712480336279395368,1026912319280627318,1313018507326228192,1470044223892606656,1199775019793138908,1750658264989076592,90777446750721640,443147210052418056,1792637615664528210,163335567960117126,1009401546499530912,360853314820923792,368513255564936628,640746032568537896,1109779338559795344,437172096022420976,243760305859097726,456470013520149888,3407869489733633304,1427279908196714624,1101340137401664944,1630627123574105146,82786771047718912,227550905588989164,325146640558490940,1589213697087928768,78063677617525760,68314668350748288,1366603794759880320,541432993135935048,2213394742161171584,551207737573039512,462854852779431216,13646267186789928,136493638846272960,1087801726750264080,1051414122698787640,1330874552196274784,265362818172433856,2854204501239900352,851213336035828066,67046790998745698,862351243274065008,961809718296278520,7340165090573950,293673081634114000,2455826297806797972,56686937278051524,916537338173686810,596762917102097512,2379543869767154112,287448320047469312,373742558217149044,332638348536802548,1520682115275392352,1146278993666093560,371152583254155590,1008483133421206136,214427336816547712,1107659199840601800,1752952082137133460,1828117338152519856,2166805300115110200,1325023560066645252,1586713098074975110,278438625961336428,1420488863816673168,74635101750975488,746519218708821760,263815792620740486,1950901639702501632,1500638983044862752,872592091426976648,267774441886963578,604434620245712640,102075063191227152,248737411976772572,341367678241449272,567145631258251248,301009361021063104,1505385168140596960,285306965062832194,883274238198749232,1249063885140753024,259471206662195268,1441830455059391800,1578397363413230988,823442060376463136,1109229614606275110,568012715398887696,322837531131950912,907921463639870736,808723325743564788,1668414905051728014,606938020508817872,2567723302453334432,215002398984860776,299361002446386972,2224406579235886912,450049830005715856,1019462613769121208,1097329175200647480,1772731081325049580,202235491258356512,160071963768989020,162795209475644088,697849791226104960,382610930214869080,980541125986310994,157289914400636692,152526667024098432,339023877333639680,692496892184119320,1521053155721492442,2036705533170455160,1895754085021829760,261096710631274728,91147894744782172,396419198854084392,2438890309922299596,1112434252535582136,794607476261622696,72732344639541440,2182456669382714400,251203049374290772,255465818297258898,637277611123769328,2859210685213367004,472334459419834524,805230715345399644,849528291357619480,814966888858092864,928071456040402590,2630278510445242332,740172899971650352,1143381085066439712,838124539020277054,116580985042441090,699641349756384480,1873341612006828600,2001193454721975462,795553740781422510,301283657134551536,1619322056156892024,2083645410308664624,1682785867278498880,1371999856261577088,651412572304873920,118741391926649156,30824300352522846,513852229710339800,1213246280814669560,211977743624251908,2197534590718011454,2338276919650737408,1805426872115466840,443785184544088404,2426494929359015662,2890653516331260264,65846954658277552,1060762305197443128,2331378181173923328,479028719286341016,178979875835294464,2013968742489665640,1613631444365167860,2936690388369882144,111439098656685408,2611162254182168672,888078683513468096,965260272978595872,126375952059565376,1187750536120625130,69505924669264896,782114178402869760,478481280443731344,24029980297875996,480705581549885520,22739331529547808,113721718659694080,1388546435764360336,2170767393188871736,1003203814415995236,1450678128368052928,231691441207749536,3054777463293939810,229440019531497408,1580147777671301800,3119644276793505552,2021217991465849596,1206879823189744176,31291417560250460,312982971568549100,2138605402357037604,3152382588819028096,746195240522632096,1464889594936732686,82857007437933848,141143087000481696,1411740754073133120,1596905635117399632,933756120851289320,279595799080296384,16390702359858344,655771898251465520,151253029198999104,106857290694038556,821318632620933936,1763516250586679860,2770194453947910976,281273628933188736,113171750675467648,848974009176502260,265522186050363564,311547745026105588,375611601322766176,142631873888580692,2519415592148052528,1442516968427714816,140115615424720712,1201253586816592680,44209299429738150,707503392640190400,260249531567662392,487837053998730716,893930013721872606,372415825410881904,1592675374492622784,517911497448025384,1548136123880825312,675013335059072576,536802397318415904,954742546659032920,1243078867760463072,2474271179918091904,881436298645829832,138450019022406402,184406914085178918,243595545483463528,69299841097016368,2079448034681381520,1838607210803531616,1342488019574913696,1877545067254423040,2406125328429640090,1157181988852491780,620571159549993320,2075539553989661004,158065847483119814,1887340973080255210,492347357329161504,216629733640889184,2889024069207974720,1199550287533791648,2693902254492655892,935825242498206032,1655643758849450850,679005960610533556,332586459056514208,220370481061366784,595633483825439208,565465907391330876,70559958428137752,823378006746736280,1486146911122927632,279032716576951974,624945504948714560,167671301362142752,82169088284623110,1479363912838716660,192328182276941568,641232732026247680,1538272231193646088,1085347599219014390,617484830755354720,1001124173170274208,766754577644892396,1730157204390885912,58264400806110204,357949838882767768,873033990160692940,391700996706790512,844033949077139712,648649217702187520,594191090932812394,161561490409807616,807981828912688640,1601368461512395376,2178363270056769948,1970232342480914460,1492595167590299640,455812879790807376,304914931465196338,1502816502890888458,730933710898737000,5821572203025992,116456529067489520,2329632292983150400,223480596812634672,1697774972966890920,1210053241536808928,2661714760904000082,352436122692653796,363259907703469744,771124531249346624,1614964294856642704,3156254408083893632,2320104912276078592,451749055081413072,633575180977388936,729549344140637672,3166576651973200704,2690893857524523966,286363502181301748,1481013354933040544,162996401786035440,7745588651809904,33202503044355360,664192526309894400,2048553709693307656,377554370214227570,1043426170991801898,1092193278797754640,293343226857271840,1219292499469306810,2800355518141091190,2642212682851576032,39584770809894328,1979662354584749800,573450658080800372,60779953468357344,101321601349553520,1572696302105534816,2657999197310490624,217714322801591168,1085737537567484256,918014541767386266,596052721773107046,33791578956989344,2027927973358855680,753386879787914512,774234752586037956,1004427893475574848,55301369787194712,829697630191230060,2162270582887967244,444186442114292864,1381901462295038400,442304971779317140,584834811597472212,959836531000919408,1049059283236408620,864976005879262352,446441082724260680,1182597815582524032,336374934163222336,140530016709885264,401599835629861440,2193875227774156128,2596832071353274944,76314782781870948,254436738705182280,275237215726754736,393279657888695760,697964772992040558,1082031374708034760,1660998977918481712,947848642989990420,2233441016300825072,2257167810256020928,2057996538211605264,408203123359822464,626040173699460590,81629190244474030,326586068568490640,396731828064644236,1288688873427611170,207569780209758512,1705447183663432192,69603402299421000,1417813005185297710,1439953296348605024,596589459331671936,747276335508001312,650133343191796128,773017138172648652,590438933366218656,1104674390829280544,676967941175726732,78305901631344852,2218385773157732472,1168325605157337144,516671444244247002,540619661451277024,524147494033671328,275408384877847424,270553665736724396,885884417912130544,1116808225749989696,2762307278145807336,338594889652964308,177534987925211220,710289893578601280,1175745295983470080,556786007951446180,1478398684848831760,106329011862776344,1050982853077292364,2702938392029309312,232537563150413248,166222563718152832,1250273040412464,50021461285860960,625400014950594000,29970086642869884,256940564580909360,37666052564706258,753479662707318360,8231235505603336,658637435059528960,814701528267019364,1971019493434984044,2229977269847646072,3090840176443842368,116137293760499006,328503023727993704,3322877113551694608,3231039178329625872,1281200604611207880,491966590608958752,1584740443149209696,2817106958404811016,1474103003140071654,140109964796724650,1801791913769406000,2994122581533038592,1214576526252531666,872900632828016142,2424637915191324192,2536769335153581684,2807998240190639328,1754501211750479958,1666026896908904064,805478910325862256,1409330212376702112,621582054853312336,154103894800257096,381213695984239664,812636905932102888,2266844117314705516,1231201069682520096,587229094094294848,423228811614442756,129237223078313820,1292642463137936400,294656340487997300,1531472347924312194,73656036702733692,1473428531224836480,2509860997120512840,458565083328539752,194752292741625710,1881162393596249848,505865851540813896,6678310913383056,267188179172853120,1487767516591623216,3410539042352254560,29454423005011032,294605647063399440,1580842683760024660,1309421749877628792,715070364812757450,1495704391532235928,2239452609703525632,2925594574648021248,579108816737089856,1108412172190710588,1955240539245386016,2793566272030428132,774892753382132670,1714307086093417308,2299266188409365952,2337147138188193968,387391213279336658,78390998155755538,2173027137795611496,1972393953124563904,355619242728581270,359225914841114664,214985545204526336,691411930122912336,772182930016472200,1926367374243108384,1181771360331412720,1675583694910682368,2308924313680995444,388876734257908086,82987625909947608,737820749100549120,152416541710044248,2373164718463182882,26994507681335088,360001348661386880,239531683132937286,1064805767245585680,603157065411708480,1436308136672506048,602593306960401048,1253538316647178144,1331584500565671072,1570168023600778992,760154526340560918,237620043599059264,254904151421798200,2896927211414912,231802083321153280,2318499908211468800,3154255387442241048,749577016658648304,1548942816841756868,618616706063870150,169008398232096960,2366606051717100480,3239350086084535024,1554830256768264686,378367638366928080,475588621062503360,400805580587851376,754365120041894940,463513342402027632,1132787331335002560,369239337944965608,712388519221309840,146732692639680572,1323195746386244332,1298613468874221388,600160991754086016,1770561122366926848,323597268216532960,3442683128085841518,1648694935128904592,2250009939854063072,251674811499777952,3058506303424744880,814585519981935912,1375621381720206864,313808342954263840,574678253502497492,618809529061609088,306186721511512212,993731047349491392,1120439420195756934,313319143453064476,971284251423119536,831717368110382528,918858594749109560,753397716776560944,3595327373964672216,704294066291605580,742143585511511076,3421736924340242088,1870701555316954240,625796606674849792,1027173663996667184,2132804441388860720,2030902552467477220,806177104681723376,2096240199628733396,420126024236719684,1015967146093211424,2672029253198384184,2294216798927330328,1940889288455015080,47836333592382468,956922317198536080,1223175106584694472,49341235685954282,63536534989883592,1232583919436136864,2672933259250748704,2641337800498851216,2610446594844629268,2867332040757668448,519143288904651054,8463832943498628,592589220877375680,2079806271078329080,282762582381340598,727628713409347752,812303545173417540,486065016525588864,705992760294932344,321298441544958944,744054134318396048,2423373082527518784,207668289476184712,1402080696875325216,78061406487746304,1561546006258805760,23291322369686344,232960629242732720,2707814423577944448,1248754907540606256,546014159600624052,682639370308874160,136487047977347016,250048452517969156,1013776584550337790,1404129646704350312,341060770026956112,54451424859612656,334979070905211978,752152444410150912,341978756261524500,1163637229069397292,826085701713293016,1614362104980153438,974649199169045680,551377663232853072,51811817181356024,422333105670201830,2876950326318286092,821477951051326032,1590146089580624380,995243332469211098,238950161946420176,979272400898893056,1345777631245603524,71115532109506850,553502126051250584,160253582456734256,896062863982075014,1514430814506849568,922926034328802816,192754167093263184,2249253444169176340,1174043638637416134,1858940781513047580,1179564328034476760,1459722969729730160,82958404190318044,394147652865010296,84179293610123712,1262944421676871560,2533023500881457696,1053502128903339264,54069327819424008,811203600633831540,116316985777434032,2035957916320847680,1162888066509838144,1155609793968652304,2161399370282485856,741003352655161176,3480794716990251708,1494562375384607152,483532245387248176,699263248970423160,437538996198017760,147192564085991866,1283147667688599664,584329669166403656,2380183426974384896,2804690720276718112,11084533520139472,55433817018260480,583226359132350280,2036316915791560808,845178529109815212,1515335580914722496,567695550496821376,838321639874819024,1543025159325052416,2397327696209939952,149308724550061104,473590775249883568,613689685787831784,1963919653180321284,427126789042719736,964749389222776074,286432692337142804,460300182665715392,1907882478329508128,812561904199740636,72745976209642092,2182816756057888080,1140049821743813900,658304432196254480,383303622127442254,630330183348146272,291425743071523328,2598337815292511334,1976441589026531136,270135363273074660,361633838671465152,812426220647064030,2430703528104512784,1187338233268889856,433603794766996672,2593552072950675326,717694227524266352,62091985840067648,2484175801008509440,36794513978425956,552027972269834820,528519116055874048,941551380490204848,246104911179770370,203216823076296136,66551457895448092,2015705338463064924,156390813154675450,938532077099544900,141810189634456512,2482173234110322480,77618883625642304,873386522044510320,258086168259031272,418073440379403484,1793763254455898922,223221234836945124,116451527631814320,388249061703324800,510983722619476848,749751491976871332,616455764697518184,2546096904379881216,1534389706110905028,1877081343655122510,1664558523642784768,614678946407301888,1238454317732357988,954986261346379626,267314851633860576,2673679738992223680,1884606570947333456,1090922980006023600,253948266803894208,317498371598289120,593613823018064526,1507638612144571942,376544547544046184,840729664549415104,2914949360000542824,380194169854256562,2646234570855168384,1333512993862278528,443193211260213288,427536355276557246,1080571019979091152,215050598337770832,921828029453185680,2406413415745080072,8958462720143904,22400591874756480,2016452434473318600,36795920757982890,122677345210138600,1005572866591875624,1613967230357640158,378390770199085750,310753905771502816,3875042644749351648,2603431769767475634,1931595282638188128,3244681385240719536,98898034087452864,2637801977754606080,681355820030501112,2541534123426259752,334249291292733888,330397251798430278,1450719380125412488,2555283378285954864,155817109192410552,1081201433738875890,2609777931521719868,1334478472847504064,560054649528119328,456922314335065488,246822838126212692,676945517314909824,747541004090607132,1761899251859836950,276458975126855110,226084945809391968,2443049406780503808,727162077608943744,432394800742233648,95653982044402236,956728054608675480,191779843195906568,30630487232145302,2144555822693562880,739426956246452384,731045655137593096,730114926749032860,449808303346699344,451710557623339456,56694298962220750,793876107440601500,704745496004117616,905675716746169200,747140589886261256,670428134759994096,1304860241628143472,111742622074346612,1085846759873956920,1112442060359574888,738848951610964992,618797676717768128,391046830077095036,917391944951263368,884910827337463860,3758394430704210444,473238735257384616,1687575097940944512,745134163845994384,811331866664074240,1883610514100303002,1737867254399727240,1975718799292349748,113629009038882672,699628372504911444,221554841638152750,286832393608842656,786927687881230880,436296711763286252,373536899904586236,1067813421222484944,564302382914575024,755390333533634932,872231752359545820,1548795391697739168,1007026344308457344,1526988046787340060,1407377960299249650,195946898536987104,591773052367294784,2581157102110698078,299178020204134752,818731779763985568,38618576028274368,96565265462849640,264717713072060838,882564373495691880,1762796230920195008,1166503016887406544,516426135000287584,625773406717826640,3241996949845874688,2101378229009744240,115643121120386678,744150753132351504,418056054900112200,272767552070379364,4778907259309176,15932789486026240,79679440888878400,1710578948983885610,1661583963425708994,594604262075071800,405010064498885920,1064970748457745402,363662166886540434,1349337005531063016,399590214365991824,2114098739202828456,3012980606466250482,950283598080555384,1300165585018374648,343783839829206564,2219602157779873086,745377499333185600,352479762946411632,2350320769144291440,1603583573490520128,1173088651403992260,1294705725694539160,613801513879846140,1647282034746828480,390984979255369568,575243595022496256,1093961665285105404,2714927354379580116,2880884058328779748,4046696970945252,26983200610617160,539768430658818400,3042953159811784128,918939859675049376,9472704732740270,189490726688085800,255634682693126464,2876446060288007760,4037035367280814884,2544507344031416918,1713384606296568416,798676595229180080,1112724837553535330,392036410743450804,758180782698198384,2111114418163444980,315023890533973020,530610657849244336,1840391719619516784,627920381981994192,257150183977625168,1933073056616373210,26083630807897728,130443293880981120,1157446237416530196,365427209431594352,2724795029697971184,1619597000681857152,2600244457062011396,217998552663191568,2543806122705501920,2900300757547606196,11197016712247912,167987571307616040,560066308871756800,345777141783367728,1537082879291716960,317523746635534592,411803406320977096,649086708581392872,2565066858427941504,2206555311294975420,1323517212458373240,683916739340254240,767208495310688328,512493484224463196,2167131968792708512,2814552866597894660,2303583142033635756,239704247612746168,275277318223064864,452999587723600448,2989102019833032464,164289849913078512,410803382102408880,2879676198835268672,832927717663019104,33784531266307984,295671294986420080,1689873958122137600,371329626419141628,937738567061091084,174796633971463156,2517444445229222236,356196513835170582,321185463512678954,433542080015035904,1336495816459678784,1685664377494227228,147278352563165680,1473065172763889600,330215730066868048,781006546350461958,2564804952108085590,470027588255568672,1453508949734985584,662024753203578468,3155877157228764192,773020362718533876,1278465400390165500,706326794537963430,292069399559251230,1622917447342988000,1833946404685018304,3223931233126541392,1559870688694137180,2646183894805570752,425995214453024032,269963983647016904,1888608669923066814,1901812454083652224,50865922470898080,173187764595146168,866103780644513320,843689357012076504,55446492215185176,277285246089582660,2751345302307700332,1962635931535670720,1381656751622853776,875972228649332224,813295148418147340,455723572006993192,3719813204997576216,1205174737456172664,2280932453572942848,103006262531241888,290038599403665312,132891154044161648,1495309515925527540,1042416140583276784,1354070694192540700,3352418558090811090,2726191180050215052,675642549091206688,957243972318137496,514522735393345952,2458385275519721268,1191443393916650660,264414410159117400,3966968290191754500,196295840682558186,181700202321543136,2642786247674541696,1335602661762912578,69640275599921496,1741336717124398800,1627093859280194912,159642482824287964,1333523643553082506,270670391982833472,1203207229793293440,194542498288484892,138816410088913088,900113564150682544,747229339194279696,2707895678831196828,288951763323054398,509767828936440032,517497327851154592,718164299170980690,226509850175861850,3624842357336740800,1812327429006107064,1204084322734529376,1012326046242265664,2926316020048746912,3440341014927202176,471721743405771558,1424492419179517142,1223617314096327104,470912428146215888,1651562526358167248,10923962187018900,491670992978298000,301419649160382848,1130212750313702776,939861042067893860,3666804559894114912,1366919579859296816,469961803776274616,231961835768707688,866744055214309376,266099663911389432,3322539634430674608,1135375563686732508,45445920174715760,454544712388664800,874113569212110332,120757568152787894,1052160681755549696,2148365233761801600,1938999784064310660,396387058715824456,1461781114820245504,1636373623808048944,925165229648607756,1725112874900253804,298350157457155920,48325687412993312,20155941301153604,100798625260747340,122561579575749328,975707062588291012,3128150999036891464,1443404127160350446,501545216690909328,250456156250998016,405386876407284330,3630638806881514848,241533942094861856,89113866785838280,3119569783446302900,187540315742220994,2713281329734713408,2264039439146470872,1140908328084206640,6184956196714698,103101900154421400,412484789857989600,975733889248877808,1005600402268754110,110678380513070768,469091135783701536,413166613134981714,3838471971564434256,2766746103707787072,1324333196484792592,2741421613091748096,1723604775176496444,70385440818853888,879982358739059200,2655620079047431088,1388789114239006248,1030614804713218452,101361413211760044,365188532573858928,264405878631385764,2213890989865426752,706708832311879104,1178571274269457164,455970040989255968,558396119266197912,1361225901404217108,487278918547585108,101001352153852380,138711659736115520,2497275052407373680,2325509439888087180,388977198738920036,234212707710380916,1212204607673978576,327445206821821424,1425111715022560586,991779548850211712,1985459352910659808,3565266077946939600,761895515720233290,621577111152720156,3276940461616076128,1072426277524512144,1152400599357497960,61925178798993664,796328817893072640,406014502246427826,2056589819883914364,368973687440975136,671671616324873768,22635182747638212,113196923680664460,1886965568256292000,2505322679468784768,2033642559641360136,158547630907972410,1268616317213942880,1754988341830488432,272148327906018984,453664639309230120,1940742555565039776,2120421363049560816,1304779245948371424,206541115402301168,1291121103048189400,1615212032291974620,2469557092554011306,976753815303575244,1669246224844089528,2060208433677993680,1634489363102053848,1593650386469747550,600497596524881664,689205493268519184,371969900303010728,2908999526247792586,1517221090469779040,578762522625030848,14003103226840816,157564023074336340,1225724387227247600,915400894325565804,1271330316013989056,1141579446283063216,2312768689761909120,1707069892866583104,2165205148829730350,2351680409915515780,1439778521440487824,1985394385738653876,2474057807924834196,1673165500884912850,4037591546556254208,971237402081967832,3370180689452837312,2775432127195037184,774489213956550708,3017618601528952096,1937979964699666590,36251067728416580,507608416209308960,1931458349125216128,3352906508809528916,3909956589255312414,1888835410912020384,1825226918924494020,1044058660969247128,377347254891597900,1300932323419229136,921375864071825632,1474830371200970364,243371675406616190,2781901827206331200,584778197531652796,3154829342682294018,992572495240721418,928730630555835744,3207945468955159296,167442925111051758,1746855926142132528,241774693578528344,475638159083630144,1928545713804233390,3656675831061255504,992668858899745440,208616699807296720,1251929757014544120,2560330997060694624,3726212618866224060,2251672602838101144,70115458918451310,1932782670811116054,1611643385686646144,136184708168900352,194251382249631962,2893268894240126388,2201105929298908220,97194189965775340,388847922954998920,2897205155906570916,887145350718729568,397997561631368512,20155679579490364,100796829935705140,65551458092717968,1311268867858761280,351570735608760356,402633012302006296,276085988836180992,1840909569940439040,418206705062042868,2505909927781540152,1350322683218668880,1034733429064092560,1010833427649802470,2334862735051193360,2174003288575150592,1095044329144344160,1467127068426550350,1897090973426376,37948740027370560,316297172844888000,430247748253606746,911309324096139696,304255025587635696,475813793842569072,234766358738752596,3130788427300492960,3397766530099410196,4010148390447567612,371717336077800272,4182581451898581660,945942399096723392,808371849696123552,718079842937561136,1728882721770786656,1793927860764879456,62175141672969696,1554661245362458800,330049611719534424,711395345859173472,2140912811270915136,787733456516759424,572812216399250992,2698663731625078224,382381151111314420,1367329955959523930,1387670899659740150,635554211074242240,456260155715156544,629091834852437168,1557928324609423648,1415554503123797628,1163323450739803024,1792358976438936360,257815575595456470,187174624889784128,1872085645779900160,3334552083376585344,515119758746863668,563204589128805500,141064865254212032,2125886211546334620,926761186201548936,263022161825783744,2303603817740498224,2324942143387603292,2896700691144279136,167736658265252468,1774841149434558924,491669091903631318,3322034356111110458,908442013370531304,590520104470947456,1460853591456098538,989737734946397346,2555636079871449312,306539620399166656,801572030463691552,53531571762423216,401559323274869760,1048957186786103856,69217114412796588,1038444204975001740,1479409245211679496,3823972459626272352,1628832719411221170,2589085372343286888,3210823548957874880,364382017260970912,126377149267232330,1263999416581034300,152220761520828780,83032524204130228,237278549158801640,1754862554081985228,2312489187694761040,1133335442201753336,917737548465076654,318953118658014984,1700475487849846848,984122222178171328,826538338391638968,967376219936238672,245476884550575472,936785059311976448,1065625458231010872,596328558165438672,994288570655093936,6867388764783840,34343118038283600,429366154885095000,2892452196447751936,537113369562704672,348006886342267544,990208597014630472,945486290837455928,2234581044908327892,1967391164231400304,2626548996974322108,2758037553672000656,907636332471550304,439835588493525424,257898310999821570,87431386436263660,349788282664518320,1521059930799713148,84397847011198140,2110324498230732000,922424317407900544,310716689005965144,794857308669570972,137477500434304264,3012848412037789504,543311498326386388,440223241612468300,1018033606946442320,38170385155554048,1908860927818168800,1600978442556211570,814111994054724544,107855385563831952,2517075916477371760,478760503665843390,4117507539743792448,219895906355433672,1629229606574510402,652095684397375896,2319892404607484856,599403662276604640,1740622204687386342,967553967206048008,1652352042463061240,1197260516871835136,2929534859338191180,1118552043782183382,220317878245945172,198154403174653528,1432698067881529566,262712161813637158,238952284768587040,957749577992204160,1641741595458680664,269866941184382556,3579624826578057708,927156346143313624,468681248134685096,837067297235843520,837083539980231960,1170264653536262592,987307630838532108,137984112543223518,374693386203969424,228097374392856108,1889137969420717316,737690640447419880,670781083148106816,1678182970601847360,337560380490790764,3206380296379764348,236332171673740632,1969784981097394600,3321019275732532432,122561018380085612,436572425540623008,1342466515768481792,333062847047725276,1227932825649101488,22801589069731732,912225550135012640,2373627875644772496,231688686310481540,898048238541058944,975718532862903776,2699695667597222224,2080100543430772896,876754091260613072,345068651181123376,1684606511048162576,685403222372885664,594603235948303944,2798896085854360128,468836725154222712,1452194712854560512,291450142693685748,2330105881244953980,109368392483779194,575515588062389968,949171757225876352,256815598936591104,1632640449878437272,571814159929244250,3100393415372381408,2652810412694645984,2500685779358789568,1231476134604956450,3931566253088744016,315368342354902976,453380540847411376,119840570947994484,738508729436916448,2602750271890615264,1687731662425745216,404906862615860280,1210412751167378368,489350353196343240,326572431628495374,1323398521042024752,525616368785685168,686876622729085068,516855504174564088,403461918219905730,1793480445149633600,838421976995441664,761107210621449216,1512341664464133192,1949191213435147136,891507818721898524,1716700505855778920,1114621464599183580,1555884186730811392,2929964087661870056,114665613406882956,128745130746913828,2155086203483828032,592612792178828400,3241993651648693144,427491284635664802,475073911710802160,660902408566234432,246989165040325316,215615656971308152,702494021692550688,1360108854309083112,2948474327869355544,1295186066619230856,1063212695194450176,1931179762553498688,745586740251500872,930907710464051004,60129595274353044,801868754998954720,945487295283029252,1044948235400420848,853607028267212352,290710444046848800,1760102171735005150,453570849419089672,3568947627711563776,2596046113215926112,902610971938347014,533071459541589024,215079046546038400,156270925405859424,18315916310778404,549573794555527560,404100980973864636,913957750823059768,1419081200688070836,241068487486440276,361608202955140544,270964307245032848,442040062133624010,2242185224946263040,1149859411611466848,731316314162358036,3478457871766068156,1373048825738830870,543346015555777200,815770018287403368,766744335529472550,3549233055245623984,4051403143244916732,3152128029137107136,1381727088214658536,2608178638582766872,1039576824535870656,815692698089190912,1046504398952359550,4203970883527529016,177475466048012496,2218830605429092200,970930940912913048,1202948814407373152,4274021750314009536,590883708882501320,152557394025316392,1488732916870842852,2305238297887338212,1019536629725214560,2471135910757490690,2453764843254583792,2949041228119109040,1667378407791837216,1213899588029281140,3338790711382374906,390236154881920452,539244675750366208,588827213476459750,146108896225214664,2576478849756353472,332879547936448576,697520035862788836,390800097107364384,1351225158738999320,1087649064391977900,1405610562030950976,415075133950114092,45011820738905680,360157161778501120,1534744927924089064,1750865494784633136,1087118191011102552,347707367236668336,187171447380287706,2560821477953536464,291510012349513728,2726260807894041072,2827317748201172604,3744225716541563466,132167918938384056,566532223772261040,3014504626864318074,967378814637622176,346383175505100448,2841346950528233728,3539970746881225888,835822557880977528,388313905416581480,1158587252508061308,696021270757458066,981894567873713456,3418226804531572992,498542661737264664,840307716186355728,86435913519518584,988010029775330560,589944898083313032,408686690385128642,1805171251705508456,1786199333951058640,1820502295981819904,1970678877569360280,2122689838011561686,3466780522871340000,1219122923517268616,181611397945220698,2046914861067919568,4301773295741135424,389061298609402272,1809455020506859544,1080118577872890684,1908772423614688608,775889950190724684,1024294957837316526,2026245629585538872,2031060204358531080,1482904867957802800,1081312742315044410,1909589866385827808,743297680139349636,609164437604609432,1754660573240176520,857586928350607728,57471700421301248,265049161333761080,41467580517849630,580646165683049340,615122811950824408,4187826409591312020,2379473339822161940,410575396026596038,64201487242695192,837197702867851808,754856191637047920,4181048733014863308,1392133618870869264,3207117257119773312,2391482507041300512,1950190231416337764,447774701651457024,438831223759562592,1040879014763820210,3071040295921287012,2445858069625029528,1235682467209655556,907566013816576604,1393313668300837264,1021895181727001232,1841781650192984864,79051306327149030,903598621686751200,324888348341309536,1728211532585285304,258771799413703930,4411278142943218596,361812281515243488,1647217468478401512,1272357504514549180,1337074508556181824,1806276116909850656,3364598589132892048,81178545023457518,573399204385485228,963649563198941920,1231666828039850496,904439101285386740,1909739829166650696,146973212984255720,1469983805117875600,2800760792085363870,3379346154721456010,376590818154232192,3324104281082123712,472335237682636474,1027437980813154456,2002558664536000620,640811220955833848,316066371791188928,4064405324339767680,2119145845502097216,3149133635014782080,2236875699811062906,2644181621306829772,352956072032580016,710670689073602232,3121493009225172288,1686663054134408752,4736354681831664528,1546268133242374104,1624817403039741176,3316639275207251478,4668910477334297568,3935062710413885484,1191272375674709728,2165660722367292060,532451391408916640,17023525330983808,85132139401218280,969000200994945666,296060074277502080,317872228871941380,535580458203508810,41069559086010144,958452957308743680,1868626870718795232,2347116343115448250,3230744265542331972,763833718677075104,799731911024096988,586276289254348784,924397672995313398,3035632058815719160,497665676507104160,1397048459636013366,836713272832828216,948582765958075864,1509044681421468168,778198555846627818,946725008977288696,3440929721755136576,569645766591186656,1816394274037440120,3597058952329638432,2010682545027651968,2343260773258007904,379605789299983204,2137680902902807262,3590555237853879960,1087981014484614656,256460303691499800,219819197891529812,145609090051291776,1820422357194542400,903479849734605384,2115848543335548224,2590281981869512320,1577698938546499872,1326294078843897228,412900985947081940,881341818171067188,831139535568071820,655358036718580860,110339321588495232,2207160145574430720,289070267832297840,2586170420841823956,389391893536014368,2920933479700252320,144582023655965896,189969447586148466,2404450849312173264,2718841673759743360,398251353895024448,2739256346266783882,537862906194362946,769468603033807152,645827582794769592,161860475049034464,1888691295778052640,201333246439745560,2301340076027046400,1032172886459882050,2771927669587845972,1384216067888296224,254629023990039816,3269565068586024832,2072831359168619364,1235913654729163520,666274764484522176,368202113906099508,315266065708098824,4052010923960087872,748887217825698948,355800178093240468,2773544557269063968,765195501329850768,409087339703215488,684882512037016876,632746196195572056,4519813665214161612,1601004667497794272,2362461868683562596,1486556534778290384,1500706951056198816,2497021643737200048,2449368633794833212,281281020614908812,1046618611806957280,1647312695923013168,1656101727229170752,2300946527862622990,923546306610187728,1971463167055915200,553078798463024382,930146725293225272,176904276092160184,1259433625677206368,4497918931154294352,1289358684485930704,3220921148511773952,1060242011290579728,3698441836444924464,1926397250319935352,2607616032127971100,747749391172631848,510677507363443576,1846418095769297246,3879965912200251008,37013838168100976,317314680945957240,1586839465290916200,884860845094837576,230120178945351184,438700110526303704,1538884374823192208,1227481383296689472,1121010830658061560,1506390201527961672,337061719986803196,202348802664844164,135138218401095556,272486326406576064,81187514281098750,1894692410793350000,7996243079878880,719782298085809700,519758430325964284,1755259014855693024,67334543182274896,1198568982796752294,251217901387829272,350741459375090688,1058690009198329536,2422935370660918240,4687174221172468272,2731276483599987552,845846034936591360,551641622296990416,594281421458008888,807154520725897344,495007101908448544,929931077874608844,3536966320199354070,419333788912115532,1888407069890279712,3513786461666050800,350446396646869656,42264618394997424,2536300019636053920,1732941497292149528,3226843161142474692,997047266942490536,209617941684410792,2023247829673832328,880385742914243670,532661002606806432,1724990105951909888,880278277630271688,1101138426638622950,122657788424346336,2760259702427584560,703175723027675420,1798075253027568368,1582723363141903872,306678405588318064,1339718152841701776,704694377601642336,785249121346206552,2630685324687170656,76530629544505968,255144507711336160,1877751737780617440,2455534176278413920,54157663104484872,677083266394304700,1327543306591303160,1432200699584394624,3342535420391883136,1097622141270485922,2343173953929215616,458415249152962760,2231991821772517812,4051411533752582376,563983633380373504,639364514641140144,1882495003456055800,1717639353889325780,813440081169448720,1071831092600623488,897350292511600548,242220737405510456,597636414334175320,310538532625166664,978460919756017564,3666847703911769916,2906708942060554176,3988055792413987520,272051324605325944,267438133420496004,2197686335066032608,2043733138984025472,367916042257775848,398466563420093084,469515156143936952,3769439367895924736,3018029598930264912,634017554978350788,1257953681312334752,477848631910410384,1995692346140625440,1270322830620740016,3449386585080972928,1638598620937062336,1595954090823610854,2333988477559473564,162604578753927876,3794733433293183080,1951085527216333144,1967459032120253264,1064162036873620416,1540291558573721856,66845303116177404,334281665664961140,101323445252080464,1520102394967333680,42384843241098498,847836661763450520,2770996102407339296,801913150732949528,235619232046093960,3770529067723250560,635737085541360192,3018491202162431380,930024527248171548,505292047763970376,982178546555443392,1573981486306803120,2079006988884046802,439572505399507780,1642575077243589804,1569715493228955012,1397590325298951490,43116654490183230,2156187390180252000,1833130865533929248,354738007313821656,242761072093154052,784627701179017696,132892009305749288,1139261599692802320,1226966495803942990,498112896416154656,285331564022328576,192557590110071780,2468126336951524716,757330220467947756,1588785276214836440,2931424014875413610,1299030097252445096,1463654766989097600,2775406315336600608,1460404501229636312,3437479984831195856,3445642019193526752,1761100451001275248,535355040627563422,380318006800755958,1461559271807393952,2248908527162241280,599585231407553664,589688945145879618,2452447071285289888,899843803632505620,1633830904238020670,241621803950567208,810542703487851776,3678073075629925056,1520440342431108948,85066360861522998,283600947138283880,333675557838427900,1020797783158146858,130736802367814240,1569098264005655040,1593401620983310336,826792159021189296,479167610429120522,2490611492964966504,1613924971267483224,347719024448495936,314585416693943626,2601506973913694560,1547330060847437696,538199862313541372,1543703458445301016,1056087338361520192,1413575118508671340,150502159622803590,1003511513681755800,156099400013766456,520416246413236320,67449077393974326,593292656750058370,373564674983433120,191127549558974756,1214720698131010390,818469482286488432,377320096224241072,434897450337249952,1814573729459750328,754478778419053092,281687817901901292,231636507510955820,992889596256915900,3150106757957199180,1184703476538608120,281888949402075776,2655617764493266812,656796875885333400,3163745991866124192,1789155407048931628,2605516287211472544,1405929895400302590,1795347423520580608,38393786675660352,1152000904377828960,983823175882456104,2617758989085958440,1269972544149331848,3092532755482809786,1527738406061120166,66131883692521448,205525081561620128,2814227107390519812,1322270850923283768,2636673464770279340,728887766103305844,193550391783167676,1807353626824853562,2416097669199524128,383158660280018624,1195714659748401966,138726315950172636,402246129785895996,221532259855660992,3753057555996125286,968912635260263274,3870960392129121720,1523811674456860416,1795625924454688704,37062623752071440,222411772864207680,905068240545970020,128720231958082926,1162627050802586264,3777633653271929024,699827174294470096,1072835603161580672,438428035322619768,2036604929073742032,82975703689257288,3734510805267560820,661256572227056034,3120670465825322256,147841258221513584,1421331364565211648,1283811370476311964,743948197864117260,1092819610432758432,1084739073148805264,1855327839631693056,1131476478595048448,1449919108190710640,795391466977112850,1285736973908568104,2814163899658095180,493644675673620264,1560747991210139004,1751530298390701140,1008321822146552448,941934535786304704,219612601692859564,2027479442251419368,5068454172118561944,5058516862865597796,2200785669964206216,3876744438438895062,362584118527372288,1463604642039372672,1106258573980549104,1218163886608421584,394907864755552064,3722487271295632,65154020432454380,465460813201391000,3300182097215936184,561212709144367104,1644749284660794168,3613183107797853702,496456623763718176,334989760820756616,1675218301595954460,999544624932968772,955267372162380992,1277423003198551840,588166132699869808,571909109502701950,104413127996244864,1044299116415973120,1045617862703045352,91465415874753116,1372201682304400080,189210328400457728,3784814429842967680,1825969622494486032,2314015027953043716,949599396254894840,653054938753893996,1911094519452077144,983896747514188032,387016906623411968,1646058049622346122,253599681525421908,1949766438209840964,4659699781281479976,445616915888283204,526834041782419266,109028834109837104,1635694668156557280,345910781020031474,271320344938480880,2170910552010446080,1592058963180700180,1381728365712085160,425640779746052184,946019873582923520,1301723720438860992,1242352715082350256,2499609644357090304,1315920141806411484,349518383177269656,253026568073648196,843556831157381640,1897740981161321152,777574224726057472,2419155203898794796,345929070881421818,3459843773026680760,1948976033464952880,4345268181136232724,273762812478545288,1840637511464973312,412098382469680128,2747761422937973760,201040154723166192,1787308988358499840,3672889624914219052,705723375505773036,325497909592686096,2170332423756529920,1372175905366513632,997618626139635864,425069114849265272,827958316358283832,437506270405925916,634171608315633584,1585780386581012250,2856634032908569680,2555408543943644480,2035181984734659780,4828343684079995370,896046929575394192,4210490745081409376,482575838840069032,63492392877126592,190092998303633208,309962409346810560,144542222343988482,1445652331194315660,243409298646807888,730083989498857520,2527891700601208032,298877482636147450,891136161240361120,898058048668436544,828011175031021272,939654895161566416,350986953707678976,85588773885698244,366867338052301380,77032676132812972,197331709133964792,1016020161434899008,494511101885729656,717542432215887616,515870498715159476,1308016641477586656,975905304867732896,290261543389207216,101538047047866480,2369597137079029200,1031069975909020420,1689640947665889396,1395410213666607684,230774341265010912,7904444953086258,105409313419252880,1844955487042376800,2699242025215591424,3505619374584806990,3280298009038731744,382242213858337420,1706178012829918956,682758763090472024,5010681727831730328,3515165841954381696,3631923009841857536,3073333103255380308,2592088250035895380,7970097145411448,159427173952398560,2391786083255494800,531292650363768124,1165270929303425112,1284327296131739328,549653043127844104,3104333952898893456,2404109134835439528,1097106171285963104,1485921595310406670,800646482304735030,1564931078821236560,1968744805656732480,1074810351730456796,763231766567345064,2832036698269560768,541107165802494984,391647656764280588,452697144199165012,3188224108352211888,697848238908743424,71259620263210656,237569553057695040,428336033201556584,2857247468680712156,289291914429496496,1085015788097193420,739844385862397120,323299478712358064,1707460394433806250,3660935533284465310,117343043896047140,938892295702017440,32531736496079808,325368620524621440,359450791862946680,1087464343453746048,301320280961751288,2009118199412539360,389071323268450368,3319138252140781248,744787477959348752,1054628664609898002,341162585308456128,379129182868112960,2501749134163922528,227914232589701630,539368689375388012,1559860707390087492,2864990746371891360,3048138925378151724,875517711408468512,314775666733383648,1962356393351158000,783603464431681224,289326652298098544,285130412598160024,4751341559255448864,50669816740067098,2533888654103363200,3349863930389718784,593692886342532470,123735901233471440,1237553201597435200,894689315690591904,328010362825162732,2602115627993383950,680036164186966272,2606313779622035280,5013314913907829052,2655525812851064432,1226276419276633620,107582050166304852,597771728712124700,122862695359641328,614409730297191040,477238167398222280,2127401565030432040,1578248248186974546,14975916100517844,149782610168096040,1498060598447989800,1970488467089558592,3312145134955502280,360430101756101632,207590239466667512,519056793825331060,3130956305646410592,1646377428882099648,701674747978550082,6818110464921048,306862940698254720,2046072743505705600,489444069598756810,441077705396606296,3167214263789766316,867373925100453848,981184653706101432,458201583763614832,2243571790721273824,1037622704340295632,2137678389363567160,476732117574005916,419044695287178104,1359243519188935952,3303648289158800870,184001841684309180,1840305481861041600,1005083386406299872,2015975347626393328,2126207850508040208,144584912594661160,1446074544660677200,3289953745264590768,626014676577908262,2626295713131362624,2461676354684777440,2925292529505553350,4582147466549872464,2245131101455352220,2304030756115710552,1599263615827107760,793713984473189430,1192786274291075072,94124539249135440,4236263480353605300,9641833919948776,96433341388508320,1131133292840713716,1720939481535436512,433521132773988896,4466324049594433848,521835312817630144,1289992702203953840,1599060657830620488,2602456683055920540,4002892361362643648,2386408733470414016,250259913406029420,3337317202261036800,472902572031732648,3153173438251822440,1092714531638246064,1321055631593010144,2842639807963516512,106107044689183232,1857161469842801920,2671176522629667744,132598091092131840,221031103605639700,1326913609098664734,2375543269164545312,65179243668454500,869191334570330000,3230950129758799024,1499616662698374528,2515591760708392704,3481407952318439488,884662921598616776,3088273945789880596,559909382214306744,2628950296549955928,1739034707603858266,732997695121759008,80784443712297664,1211954247451725960,494996142253647892,1781549262542043776,3177958875172023572,2816335726538397154,2857725290113005216,261213474868415488,326567344174574720,2775721211772037290,379167686301510390,322463267632155008,428910757711835224,1107385825658768706,419383180074860976,1069781364563268560,726626688193548736,319943593622529248,1245637486264160964,1494898988390103380,164780257459217160,2472085488173832900,1128650218215913344,1028728592892897920,278999042482549016,2510124366567430584,259428245621158096,1946012017604544240,2219180042031406560,400871942692440548,3139445058142869532,1983916591628620272,2371257631873449200,3773602679293730430,109968119416823082,1099850668393110360,615562824738439536,3023868755398479394,1449299737119900762,1687941062335022336,358659020980299312,6752237229474172,33766384343928820,2026294959244130400,2423401601775883560,2352708349574980080,4874132560510169118,367586728302572688,88085344668080320,176197789206938620,3429835466180346552,1793520817993862420,131990703454273248,146678885024615840,2205378058914885792,2244575476687563264,1164863850567971792,2834732949184589544,1106039687427365716,1161218647476997676,1400093284720883616,1974041945066203208,987805507618331496,3628840270752298624,721279542762629088,215052724278297408,1882000148222223120,2713845991090488912,217573735551901260,310867308926985900,370406807650409790,282962019974225984,3638641057360580160,3672708525937117792,818142984048713588,3034661853589788576,2493529271442591552,3419128711057745592,212400175496016284,2313118022475142792,1573497908573552800,313517689906416060,2228146234665517824,248367126512845808,180753945607467616,451954047671094920,1980114750038093892,1536144181797872000,394164426865392600,758290901951255288,495560710579951190,3529917237766940964,1966921815777932832,2542391840814443190,1711888518554502832,253169310596125176,1711559642833326832,423176449967979012,2351339599986447800,2524229815197808620,1751069755095209416,102004698597836064,1260404188435267086,6967043026127744,78391204069149360,87114638172840200,2166757452878552688,1227019252573025312,129852398399003160,291908302833828252,2919528478953969960,356873654984326848,1784640497430113280,4860194817519102474,3550173826439345736,3545647602734687548,255171874018868168,439006146700453584,260507331605924468,795858035151803392,1663144574170027032,85580933079241796,2567819166783266760,464785701602075196,185987349909446316,89378134370661530,715133959629656240,1750161180717044592,2888852174404302512,4610693298778422768,2724220003310008272,68687369848943300,1099165143079489600,673379603350220432,2388505508972314620,4448652790669533056,132992765138803304,741453403918453344,146028983050596940,292102365655057840,3043549901223971424,244201587881447168,246994053645329352,2195836292417210880,329535293387617408,827395444145275110,1709963622312629620,1597896681493166160,1478523569970160896,141204498266190024,203319886626332612,412192262391960256,2967772938456564672,872631637893598976,3402828177727797154,22492616939950808,224960287854130480,1738432063266525224,551563783416967490,4481993555262290088,963545232570325216,165743678005411532,2679277679984808504,226501113245756108,3136637872596465692,1925334774834552496,2946095787311816090,3949347026802152592,145977230513321688,247566724415757544,50821665031097064,1524880771387060320,1622570718568677472,1495702659060714846,1197466239547086444,703147304611436832,5087102416575044544,381323940347063516,428948205787466110,501789735664548344,482614119909646704,1182981457197538356,748568365370259130,1129463877931264512,1574900254286287232,2042268400808825252,1947484705418953856,52166868233928448,521747485431631360,398100640897074798,442400846998958260,334089372626158224,2724295039987321344,564519399169113516,1555954291554369392,2149830584069684904,2814921118571468140,151634446573556618,298821263975200368,1105584168285060736,377740060801085632,3305723980649380780,1833885066547145896,2560458123375264864,615678769855797200,1601955164367656560,469017466716073950,1032665418036902112,393764038337717600,1673491213317791712,3146931817214882616,446766854950254020,986036445402906020,424824555508054026,586810594677139512,750101143630476288,117190837005762048,2344169474201771520,1463398922573643048,3618564951928590264,533775359817704644,3605159383556751904,1377366756192791364,2774629657478851152,2769805497793126272,405994759240631750,2351203991652652656,500040669363440624,270250776414521280,3784079393393261760,512111528816980048,2039588612134250112,3874953253951085544,43015534400609396,1075549847883642700,1572979148369706740,676743305663733280,934386622149046088,3490641095052045214,776088147969795024,1997714563920898048,138627574710266772,924322470928967760,1656141706619526140,494530659416143800,182200132992125196,1822274513539913160,1109499831389102016,36125497383511328,361309118146012240,2318028262328395568,3986848704408335496,935381136548031628,325793926855664064,1888479914304974408,3807954665377834968,1639368533540299008,3305960479017035616,4765093937617113216,1707675103105550352,582381418462830336,2048830223501428458,2809833814707275208,1139418192083056464,980785312717297248,2374451849285445930,3993583011673861998,788709880621412904,588650596250168816,1579571839730985394,2462318871395790108,821924319754735232,3329342423614055936,3273759786508151948,732929120890390788,1170846301714436600,621384240748573528,160171850020393740,266992945788596300,820160550028193792,1007327407673542040,330875034014015876,421426044850823464,514749142394928104,1498021643590650192,869183978007064734,1719391091483557136,2387080829032672448,1242722596986485328,2197866998365868560,75050076444118042,665932150615431180,776210631458431232,1058392840788937602,879980563454318860,683981199446752368,853235622516403056,1490514623634519552,46046680169982210,92107075321908360,2120673307835381572,3896184945677423308,6871877802584144,42955629218534800,85924044619628800,1203267322343950530,3853303996504983426,4434777633587206208,1184736799358343904,2822537395714816304,1298461833183354210,2452985149750285824,1118281734958200336,68709811972949784,343600125411391560,3831879101290359616,1357402051457895996,186607913442193334,26484091668308968,331100322489794800,211015220234505680,3798838043132175540,1499631290824201716,328817576937811248,2192442605538826560,4966481392914942270,1661830348398684204,2297325999925406464,626690351838614624,325108640478732504,439451817786085650,891354186852145088,730224874261045192,1635598085248523070,4335468931000679724,3740473729995769536,2927679830454502368,435452751220381650,1873948545403957872,867742168892893424,1823174450764840248,1652859425508238332,533368275659414216,2497294773540030464,456558896533784520,1047366483129574010,2048132085560636742,2041449524644079980,1389807741468366976,722393270616490860,1494609501575128890,4976856099607094976,614595939769061328,4847801411010105414,401417510465789876,274846910639868616,510451302674908608,175846056065388264,2931200815630838800,750202631559723984,47364158937058432,236855787364977760,1184453904019853600,1533128418705727180,5130994529511980712,753922144304222166,1921327240637512854,1047376804947533984,120754443220116736,4664895688385661456,1048270419918532170,1779719567596277664,2452210976643681372,1893889858580750450,227450485666886352,1137420172936769280,242539673993415456,2830046794966418440,1745263226338393944,2035350590679147840,1270207414422393504,142203118512446970,2844481500041695800,2881522705646889024,472465319668564400,2399232095871711534,1782530065565396700,1398718060688123064,2506875198225528492,2240060638315555424,1765798112364005664,436872808191370304,3044909017405638160,2246501058088564130,421004498797022776,3405262770609337248,2473008378605490480,3894765785333555678,3278937465564170472,1340044783045633248,300745593365121408,248825590779137932,4316598042103111814,1035517832451480152,933853041089479056,2707100562862309428,2481197144923292320,2265265718499218176,40513472866746464,911687020995124620,384742272924066966,616653179812470528,1138824280816378336,1497614022962825832,2847162558987085388,589702800752013152,866327625388232448,4464365565722521056,1096466775126826544,3594860177518878208,89030299215339932,2088211280507705808,833841886101163812,297035089537812464,3616401800458963584,901844585206469296,4478420906957153394,2835129629201852220,3054961138466580,48886539292791840,305585628282987000,1833782321734632000,2198503581247323840,3687373982464015104,4239532996290732582,1481929561973064260,3529008156944537792,3133007364925940060,2352577043769156104,608054462006877984,133661633834562568,297220534870481248,223628646386967164,1460606182252213932,4038179847029062956,595472312898703998,240140676599074608,900659173361416560,1425111334194018048,654241571106459308,556318595619784250,4325606779038242364,381047977048244244,33734926712618208,1012195610329590720,1266439933840496736,3836263470873475824,933503524989116264,238435996972623018,485961042279193116,2146317607766610460,2473296441241182880,3089791812576058644,757109017056874608,623932324675972896,718672364097774152,4768365513915161208,459438528364378752,1585145859515158128,1443652508782919448,336428536665421732,973273497739040000,88961774227923472,3114115774325077340,9275294481097274,278299368098519160,2053194493211637972,1976239186028868740,290056033098080968,180964544609928144,2160789195849062528,2908562873222030472,399026521952093490,1140241686021142800,4341640838931879952,485385627354281974,1626761445011757288,508957806092204544,13893003562557280,27790047668192080,1945586180909184800,1890585886881571712,1367044015792385868,840597733011092784,414750149255200742,1653256106532910880,250639271833236480,4318659630898956434,1766938268092001704,5384840942521982448,507372162654081448,5014709505442323824,4835640943555865982,1945023386683172544,1384268342966619648,2771641564424456906,955555134527340872,543442142485828944,1878969902443075988,403458279919931964,418788348906622632,181081102014107688,3622147189064214720,2076408645399911102,3317861193888128544,1277518515860637984,10020274005407820,133623014493641200,334105940001361000,1193896846460286080,215479731178834272,1913365436360864304,2855021755148609076,1436200055150705740,1902726537264759408,1231210181550867648,2834744366986621278,1935122101424264448,232565634417555552,1631336607760540584,484118210395549632,3013364739742300008,545354643348992324,1345139660892129648,984548795347937820,2890154332862457856,826092082984390800,2032095485450405424,685075240050955312,1794513612802487520,966763053278962884,164214351526190480,1231785565794328200,262455801718103824,278283680324366976,2783238689285203680,529097396289363224,326648736898836352,2458336993760583096,1837398152942148900,497454926936273484,4367826083875717008,1452957450850953056,2124413877336301750,1197730334683140216,569030936498173984,834079164080535792,531889825043611220,843726499031234868,2197599579290639232,3163435506033100480,46825077210552564,1404954762399219240,1657323162398390448,288153622157252592,2799721764188203176,2160034353237944416,257640052858479616,43104817852264224,143703415289933040,2874482097051374400,2597220778952814228,938258070799656264,2216572360487386304,2362918230655235616,461409861252791136,626953980484563280,3051297290845209510,2773610956271275434,2024707228290423712,553749067783054732,1154077227259708524,4382122804631043990,2308072570118605680,105468569254191224,2871872466547963802,1411740946627052496,837949211577648872,1285048607803376576,4433253627860293656,4230664665754040592,768516787494247008,4450789558096652064,551386611870855726,2108581800249985176,574654286839274920,2330632103548505792,1985896995555336768,81433315909748530,168583358928796032,394156864982193152,65822430255174796,73044730210471812,243517348235768880,2285725709708336048,543753107472525708,2129510826443633344,151677149965379136,447175599805854656,1413917972858030586,1113204588314538132,1684949086163890416,3085122475450654912,4724691714880508196,144713521960323792,457931867615634336,811209922855091032,3580518294475335234,582367289671033318,5784719496995671704,598071962148119004,1353845096483263146,1876423137599591136,140940639939062392,792687901648211968,4358673989283472794,1525409161314086910,3659267249015102144,244008408893380516,1394533074739364560,1458796433867464380,3396244431794125856,1239982212056497696,2017309202132108784,1000439953363905748,4126425821609104188,324006778475598816,810132619778777880,463059552119663772,733811976783548592,2486942950252328240,3836509926979343778,1821416953135830960,3542657187215403540,219724756128670272,1465040688556672640,1648031809926640520,1531398712351243904,473596492858885904,1667262778462314824,1856301156103560992,346422597170603408,989919936819584960,3547779841980487602,36747943076263512,2572722558107257920,3780790210621055520,588030702982189024,1005681552256243368,382416169762105360,2437238036890684128,1321568990642993892,2973678006370645272,3548111526767570112,283948520239676448,1577716289195838800,2190270967943938656,777259639895562048,1268883938900722664,3318775845929875646,1397083656898272336,2207590704171064160,2999988713522177472,3021173584747829826,399651177411801432,238795247845568808,429272753526746268,749485049614623504,1192254534328717268,660452452182865024,1033831508916188976,3330851642323677056,2184989309749649268,3269998021904715164,287541376337425812,1828594018687918716,864702799640193928,399963843099559312,301941165566905856,906723686687128578,706615858173932772,2354287190154960060,1958314182048826428,3186906485902565530,1447868599626151794,2191710274541216928,941981082062615376,629418393140610970,4831734012585125072,432754846991856924,793513439255548992,60278768526330060,482298474454208160,1651212818505479112,259977689306560416,633049777863615798,858545088575538708,1074084882085300176,1805428171093847160,1925966725832816340,571664867550798970,467412688658283808,723139196586165576,1030122156026938338,793713856224770320,1646388048354247632,704928903419143104,3109408645973710932,2923700665778110090,1184477602133025312,28203966801402912,376106051546913360,283120695281690462,1819135450552262904,147473578982678628,3441536388595338460,313632672912110622,2023209856815644672,2723375664929563728,4736277177341260096,1314036258597620416,648087868158313004,5021426970598530132,1882539817192295352,2017761684067622912,3485762430783639616,406349671454445376,224088603066385304,3232860418290121458,42155032695213144,632414676337514280,131218214047750698,1749822896088089680,839605659536224448,1456147866249813792,2694071930469721908,3735960595118845912,122072783900920832,3662699553774520320,1338269827809989104,1059944082166720296,1168921167330569000,2863812127567443968,558958737285080780,1233467706084284384,221363917226541752,1628481594234188596,1380561128587125464,148774664181853590,499573522195268352,2750895632477554816,1076759129020486800,120744673419871720,1932186513442576640,3456247973048493728,2826207893699274688,452847532749508180,2241418789251203008,311914424975188672,2128502670951325356,760239653115307156,985149882372199320,292970094016018484,1410213021617076980,689521296747685632,1998192043489648160,46332960430848992,1853578666724522560,2638809634820226896,4540712172512227656,1047251540218868088,4183634691353547794,58845396678417790,706243848775596960,2570988419633564960,2503816205153600610,2560241190064634314,1707011792163601500,194878408155058040,622046029466773044,456271476148092164,1743612327843451008,1507733393602711968,1896689487582607990,2844338922101137500,649474971477473764,263794485455274676,5164516714678635248,3342243213581022842,869747783298529128,1734425269792636848,2326250449032544140,584127765164936,8763143065052880,29214565596648800,1314839447894898000,1178661159149367348,2578505159523487168,1838811951934726304,3027366862623585160,66443629816798654,2658116900168593760,3932455567179966888,2253436379069934184,1538614513390746780,2069795261128817920,144060435593124736,434333183900458416,3358243312233116272,200606470316777632,21520797764178804,573968108436046240,407869672835393296,1529724884464413120,432455200612804824,2268141888186968472,4010012696361632408,1965261064530247680,1786183733215814820,5552550055047545964,164467960514782634,2170559794168481184,3449613027667561984,1535065466878831420,2798484895682674016,1978374085428074460,584578640277831884,4525338660830700804,3171513399558519582,550792359446058000,499725156064593152,1278110512691303928,521965939286451308,2703312112213167940,350256566845231536,5254580352103515720,1466232670452798144,1028953817615221720,204803991424016768,512081266816289860,1748949516968554888,1429277456105809984,453678649244549960,1301592413831100310,2974385726904552730,3554404535114592768,5101992342868953312,1865879874656288256,861030372231759472,2570542916806643688,1584841360034702016,1683048415706870768,1304759595467896204,3140466644829547488,4872783470729919696,352130636655784196,1006227333220474960,672921479658266488,96926856673250700,215422934011873000,2843518037394042302,323002511905083264,1435766056848647680,933114329985608680,637698268987254892,1005760847812750928,2297793083818516284,596217969995995868,2354652563920812768,4098868992446875648,1261323712875897216,1380479427445860288,3052055808327392992,2271518298289502500,3566871319203995264,389118656777653322,2116130251931910200,4078449004165008928,1781448669476400448,2503972216084597752,409187314178915748,72548211993396768,725582621665604160,3274776739208078356,1917579910141027356,997255179246038952,2523040923164931456,739192339398616614,2660058681941816532,1174621286496193056,3827084113430588780,153043586932066936,182586676720828484,1433615746623336864,2202234884892369936,299347931438607310,1185117194149072176,1591293777551992128,3772517499863179032,1297492592746233228,1107655167996655504,245144665921288224,2802040534016440320,638763878871097850,3012773107874387610,2497740821461794272,1003132295123829144,321259093432881464,2554717482028219480,380828067967153344,3442077899268132800,248375520271962536,2282051297711190530,508797182680856944,1068289011584963532,1083453863500434300,3627738778705582336,954249061516597664,146853481365777472,2203106061012327240,2313104904550385840,184837229560335544,2969815330642503504,423837299282762116,707454697141342928,1658650773932554368,293947527009231816,3359863251562814880,952521213086081268,47741173662075712,537162191424640080,3581574538243135200,2740077140995605680,290323434847373760,1742180462212193280,3453570728657941392,2235756613677402550,2416532259162522432,3182484549730101300,2080838348947417104,3395274315173044668,1384505123278332288,271739085223520056,23478264056415924,104362191540004320,260941357841810400,1717695617285921724,2345119203787823008,429557702328137472,550181430783386280,421071575853749296,268158161631626032,2645383125983906968,3974901924361415008,1263587416685294904,133080280163370396,5323942306113121440,4279811502731716224,4124205576540717416,3602142405845046048,3789344575533243564,896998255019013672,3005194304607731660,2263846222496480688,643179323852933448,406781575104767072,2353097387230148832,4465359338513593436,1249241613323472230,1365525570966915948,1393542767283452448,2786785910602647380,244717877282161872,4337332585395976192,1951863484778988792,1855534632631267070,906671513121912510,2653160525211327192,1540906191920680032,1241143276928572368,1122915646103342592,3549745776538152464,1473701653294251920,1306246287028822776,518082101345251944,612670886591917916,4655746407909864456,2023558590455622072,2507803448883697242,108975598675510336,3814667739496509280,3336822394866583110,2621327716637974890,1836631062143707952,3436225614747428384,248083742062675204,4454789431004251248,98583408225772336,2416338319618056192,284755678016256188,891936142156946432,430865571762356916,406883772054463104,4661362944282228436,999226408444764676,614245465912998816,6105742544791558368,4977395751639721744,58842532452383146,1177011293346458960,2838315557331480016,1888743405169972530,129553305372917958,2441524337663537056,4970125811372068608,394768688096824146,2193458511355664700,1913092501522302744,1351946532380438904,1175293358828799636,1947009820189618940,928333341514325920,1575833256470718336,899293822515114236,2652566321728083544,715285377428795480,1153539558308238240,206535453528612432,1813899985474434,18141470206551120,544318218335548800,440617173246418532,1420693049403100460,650837309812173792,970406276457477328,3277687883005936062,1024863902766611550,4049161946202399744,5044687133071123944,623329161126830616,351169415376396326,651913827207540660,218437621159675992,1092336612322462620,1002384396582125050,3141990643080982560,623693167454365008,405205228465919164,649096900887865248,1761530101903925208,1086748275714876624,2602363230603172152,1428012853271577804,1324310326371922496,2519864770872211728,194403488993963088,4536697270597095520,1384379406377016140,43930031975846304,109839985701899880,408823710999231986,639697865779890840,565905228482389824,3546162897346868176,1887496926372754512,2602004654523710772,1042890015355179712,1840226725635483786,5500160121484641348,2937884034352337280,702549935393453056,118903499202699220,5351382592264014300,3773250994752903888,187421023351849248,468616035500942760,2697289093760712780,2224373155828606496,212834551978807584,912271596723105480,1649565039322656624,5396593744144427104,2082373960566195952,2907932415517451504,702191439606291800,1857925188028191360,766671496033204200,1437476638182542958,3828948453370935264,300965522750919416,479854312624785728,2028682316542665464,1786751986180372752,1087084174196526744,836852742088961920,2303420955084794656,536412519214086320,3418025819223662388,1659522312678458300,3275917496698391208,4244152481193029314,3607671505856522496,597817087525593328,1501384940416951772,508720527129521168,3815919082042972080,343295852889830532,4053130861525057098,2371375006903024248,3665291268921067968,1108771654522669056,4781702286394079354,2902869782964001490,1494101042600102352,2843109352570654692,4702035189550587280,1274327700728748272,2435980062589283328,4093113119821557160,2002624071808532172,399502717393257520,622051548736711656,2730885739020050976,3157829911452820780,110079382274822516,3853297374625816880,2536427657365308928,701295339179635542,166456181441315028,953437529252973044,5993600851231281324,393077376541279354,3142711969003307330,621635119070613248,2897719066486419552,2165605232721304920,602922802393493904,568173983726723720,3515756664075423072,212537013770211312,203998636022941188,1360173775040857920,3056333511904336640,2133955605252437568,904899883676041588,338982538893323056,1797467727699576912,3684276330985894464,2417385841061210760,919552196334097472,3275525436188609408,1811118852730090470,451122723049084476,2569657626006351552,418377667050848608,5529699272216090160,624581237709851094,3936892190244849696,1088835082112746624,5629068220609396674,3975639521646925608,2005582475730324504,1091918198793075056,564694903543408338,51952138840707196,519591055609050880,2691081942136578648,191489208471946868,4639138351505111412,1534326359292918744,2744742202698097128,2620995482674554272,1218411869137423650,2689676961686844096,560917202505060128,5914025892259368,59148179736138480,3549366043112073600,620282247468729664,1491603208826025240,179724638972373944,395358730485365472,4034940456096401400,276356459052389824,1979692596849657678,573806268631262408,63281980375916664,1265808908324728560,28804434976491972,288082871928137760,183948103674424960,1839726987965804600,338927988568166620,1742916066378990048,192224047516439776,1035482965126567384,4334741330310831762,1203257582683871744,1583261746581279488,4004245159374795930,930687875719128384,1963863249020701092,439539884662303656,59070817514827348,590787041658219640,423189004647299712,11991825411016416,159912345632406560,3198673724784214400,1441244513659674780,4074511113980913312,1142802682071303648,3478842688641085388,251783959695279648,2937871278422546480,676240987366970930,1272500036627192142,140150726604830448,778718939088239200,741915936500296620,372897666085597660,41075758167641256,410812312137193920,2334546091840824680,785348469102000944,1659730367968532136,4769213024685346016,2873254443402784644,2597171485451658752,365774821243591680,1253367295472693856,1299312527115397300,868550381928861468,107653640517203904,358893217802931840,411181033224672410,4699836964440058400,225003355830776096,1048684993110256256,3022604463956631710,1572735091762021712,398872621717312260,2731793124945725160,312280873959691624,590612106648329136,625797044990144320,2178372208353601504,495824894206552434,51944866145105906,74216809384346840,173617282368153580,2430964770786294820,5138746859629279104,430882357447080768,4309395645153546240,2156840256606231910,524885594646216128,1968582221128577760,564468789064570908,2325171315200134920,2800431124277787252,3207831505653486880,1987190293086872832,2864179033490825136,521110924980949572,1245647142086552660,3280353063572330172,697305400506825390,2296381114324616432,201245436952149408,1677267568238139200,2584558193370021720,810096676622417576,4242699602030032416,1533639808238559104,285142039869943310,94797600146366432,948101539803543040,3325761026322389928,1960405050524971008,639482318258022516,1554705594792204,46647340998490440,933070285690275600,401532856332562812,5022292695946698048,1773831681153599424,1803063236589734848,241561403759928964,3477300567724024244,4902853711614227152,1204848362562062348,1998628980360137016,2910874253515017216,4656156890750777216,507098217291526432,1112090334385470332,577452614126719884,315363217689844448,229086293116014306,411821414907314608,3089068548182936160,324202651628472608,980872704283997440,536763502982645484,2276051339208843912,459753107957947800,1282886813555391408,533479752593270184,2113912567943955264,3354563242180016320,2324001534913774352,103785150323333256,3632959385888950320,1369880085700391468,529918764680391312,303639689377922542,181422701731153168,1159772147305586304,1777545228192407100,212924107938638248,1752703910452875380,5188904389469221824,401173610249174322,4012264607782974060,78947350663968640,631661990992280320,1198347424753368352,410242591896508728,4102966073324003040,3228582657741903072,1841812969245651080,2508848748513146816,550151074497198912,4233504446468558352,1621784080550575340,1525868457313295616,1655797650612903980,1746205244312072096,176502492670793030,2824411264725473440,5999108491877417856,883124132328581472,533048661455894298,4738833158829005280,1154913794528942688,983924751167973104,4341851566281010964,3754926440860291776,2358833973611405472,1735779040997439200,603836916306245004,2416436252838259648,760057196786581680,85660373663105224,975066493165898322,1351239653902499452,298600955925880448,462349326614371904,438227285610879882,226489341469246128,333696857334644844,1112468782495437960,353529857663468010,3682549947923883056,2642524757512797024,62695331599361344,5643319682587270320,1044026798043957664,1327483257732103108,1835941715831052928,1384435956620368180,2448671212874775704,2956383165589391616,799275038896295360,1679518288843796196,5772296222664528942,5268441720940733888,991133009234036604,1145163731527687806,1969486120340845110,144967227876599240,2319779268532910080,59605469081491248,596132698071486240,2734372545976564360,2562420989402892072,4683571816291844350,1448456058602944202,2512980556331518976,2587626174971029440,911680281310788514,4653309776351388176,444490599336660648,3457601056702339120,4903498050740013088,3239114582544867432,3569867345261159840,2589659428279160384,6322140685621909044,1061137753311223548,1778661395113360604,3005823266070425248,1184402962138829520,146482872428090176,1465019989966382080,415156511963426240,4152107079459488800,267808664156516756,4933668135267253536,2709413850617878936,1288027697599740550,2856099271036750102,1398721311882826920,1950758278375249152,718773099033933488,3508278407724770120,3048578517017273208,36238107529161576,543642479712066420,3287557192521711708,140446662795961600,2809299343603024000,4317338665818158512,2639262661133380912,150774376256491260,477717653001362816,1194449699732358880,714461146955534528,1012782181518629712,1913680234692061696,3061221075112596452,231030931605697548,513468901606213280,2358459388500291336,1838812094186754060,824307230705439620,198528195760579104,3745355473528994416,1642981831985036484,2249435820126650232,1636879547471208756,1132859460768536292,148106813266648850,148195098015819120,592857455630826240,364046254986238464,2427290480017632320,259508569032358032,3332599733713214688,3206435097570029160,1037812319204097528,3736535060967180354,3113665350272888640,102834672910998504,904894156431949938,762527144852105668,3261854474869404348,6446026095727201704,618143147855678198,2545671245110771596,622627396516440,5535183918905600,55359021062152000,276831015437080000,1384334631621200000,1114759066347324492,382187905811266450,145595808392857816,2912293741580296960,727779965736551424,3617551324825398570,679957912427546298,2191753005113305764,1498016214840478536,2486452907364706224,772574750165746736,1421507039734081872,1459399202008041216,10193338629750990,237875371399567300,2039195789348844000,3852066554433922944,3948776061359278356,42306509764555728,846239718726574080,2625287667947683648,2537878765952800676,706152300923446176,4427156682031804812,1616337295239109248,1383765697539584410,1730587550617095558,656314084013304248,5757920287663929088,3113500812745586170,3056366684345766624,166879389981237220,1864723854500217072,2440704717615795696,1268832956338313240,344416509907344208,3116774747135030688,75625983485344838,124408327006676810,746546374107701880,2644333584203902932,11490642034970028,689527541684090160,3756714025201910568,1543355254849605120,60662478015633126,1011171788520216700,3905664649816829256,2719774680460842984,415353860672433288,3912490526424617436,660024855047190976,17733751934360568,118240259883268360,1182555071934666800,146639052791993664,488859860353292160,2448005476020247620,3971577881908313376,3950451981513138192,3056077446422072352,3461112862728544360,958267927852406178,1814990044957301576,1565512408361967472,2197329994929889890,1197131006758504130,1535365814726448256,901664485518414528,614815219967245416,290323794696438566,4898793011200164692,773946651882170312,1766811182163902010,4442575370068441728,4742934185892863664,125132829083624544,4646945429323176006,17141021607267854,342864520722505040,487303473729244144,1841679946367676368,190983101423714164,1315853475304163712,3608615914913720960,3569358137048812524,307951225373256780,615981591134119920,541979317452244352,4010834873842541264,3575036383718577456,67271674880944256,1345606286363837440,691735249811909926,2263953504720130434,2747105595165508452,524479127022374040,1560197061299310070,861011440819737740,743275542055344096,2393021001708662472,2234788654718807530,269950833927550464,2699854617942865920,74040656900382536,18838518556879322,161493722452423320,269190715234554400,1433909470837604928,3160605183504227784,1677300372127627992,2538430477439615304,2694482339581279500,219684393168929054,2159404875636739416,3850908149893834848,2970396079239740616,2070478106463441576,4455693965653936992,516594702099259656,3656151469123443480,2637280256842687512,2036078399662672476,925218465315851336,5240713976544883824,2583360915544206728,540848069219420796,1609489366685759636,318416027631023504,224241400541670344,1682025615740470980,3830157200440969776,4990020921119896200,1085865698803355982,5262364969415411872,3268004088553752240,5498009598607228224,1646723364405573168,2436415348762455228,4652326475465812416,3615873016746767680,3370269185839697388,1714587457079566552,3479887781288776200,1220084170822460104,1515861920633240412,1608992049025839072,3695477633177743616,780882338344520376,503130668021462264,3095504293108247436,3534225269148852560,389019410079817276,1431366085460744720,913615727660837136,151201625643137728,107731907681808256,269364118776670280,1812494538512909226,792328761921258304,495040578309414312,1477100760841194516,1395175562311404492,765485187090868608,1708660725183562048,5842052439222515328,2173256227717050304,228072527973947748,49691509423841196,3975827108728422240,2026525438209662544,602604842737525392,515101177493615104,3679762574399778800,4629611158016388698,3954409754630875248,3176299761187204080,3171105033213462016,1926196086473890960,173600476461068768,739206344766610656,458630091164083692,523244631247898238,4070198069176976520,3589634397024678072,61200153039690684,408052895527054320,4394988743865275264,2197959343014433152,4084034642079781584,3783211826846302656,1354081279383005824,2810060423413221552,2557466692502509710,4222923804824487406,565626752239947552,1257107983649341120,314154295974798432,932824599239189328,307399560272903160,3689263039669765920,1569013584733103904,1996605948443221024,254798819855272376,920255260694149344,78781141943334124,283746081388862274,2432417812460889840,316714691139832660,1592153546418681876,1916410143482529044,2472625084449049280,3665651236802116352,283215641868485556,392074057041723372,1856638151717272768,152236968216312392,25724043241738148,514546057312738480,2617835072856121664,1389466067349847520,1598664714020759298,436514809533063990,372455572320631716,3448148316459566692,3020372115853036952,568999202924052530,1780552878190251712,6341694402050022600,1506009639409003270,68956174774151420,965508608123926160,629630498158663404,2083244536776895492,1452689596330705756,2566134926171331320,2526359595377947648,2513333114688037376,702093068790869240,5884717843264472244,1603781576736380664,366972255746411016,833779072512702670,331995109737973248,1107569415008284144,240873152414667396,362891267975861114,1036963175366805680,2709240083320367968,65162498881142244,108617880240536740,1673355652103435160,1020524798474647968,1184520710665406784,1703277539586744030,388720563882337872,508397566089701200,1037880051075087108,4733399085501626904,5205332364156150016,2658543492871778656,2505781781506228624,243733517633191752,179291135128615476,287379967540912832,4306687204177107526,514548678184833584,1600110977753396472,246265142814961536,2462961811918878480,1044749818991224384,3315351273454571832,1254070143018270340,247256732560782286,1479760896913124126,606364250154012672,258095568028423168,1935960526334670720,1471227838731920136,4153890164080424264,1308181717405800744,2023157553855167824,531003795163313444,55853965737221328,279304971528978720,3172698535603007268,7445099930503228,335071643170261320,2234091935702738400,5623556178209517632,1161005674751031170,279878427390903280,3918790642535361040,309548524933425414,364821715618759820,5837881141124571520,3465078092861891156,3731928551262097056,2932567344309545040,5772238506897724656,1092072745337140224,3075649174302140440,500855471510232960,245254256930152372,1279726391618479196,1574325475071680760,729457096805041488,458951916393367264,381999656750206976,2387797508622572800,1628961697460462092,221409289012254544,1660778019758101560,1871141113968468432,597030615544432482,5307604459496173440,4009569660355615552,2116427439517800990,443346547532599250,643507050729515180,2962352521206446784,670233067137735808,3816401227063395552,880804910142738048,5945850513635408712,1075886696402548696,481111405394428438,2749552435386693920,44117514172092508,1764921592083666160,4319801627852853310,881731715501894544,661458120436699872,2058807726304385112,250141554025615926,1667819094514680240,500889960795503916,901286280254137488,4244702984028015180,470707565454256768,73534913716362088,3677205615750635300,3076365364901266116,3959274464591203744,1000372461666208236,1756161819773789064,2581173572116742264,2940982142172095616,1266495781694322176,1228154854191305040,1561199423439812562,212592533965485824,603710504343118088,5668095339439202192,1631911679552971418,282101577032717088,470228017630381360,928009000928586668,4512654314865234096,616360144243628344,102542755985631672,683703710573892560,1110539145543603048,653113120685884768,865786294906884096,1034175604060914020,4172642457437014064,4360945484943305076,1028815156735917248,3663254290426821762,5249267149290826368,1374064401427131648,1929375918644144,77184658662842080,1350899913688049200,806482445812123184,861192693139753200,626013081241404808,907210709133196416,1496794894419012272,2439085022269260736,3001913328495511176,2515478278268347464,1231743393575196712,2081549878880662008,19981834568029898,799372899281120240,2817244668761264448,216000847405141344,1892269067727476316,94751621192896724,182683275655908972,890904016302297744,2698503519518570984,3126034068116901340,911351493248476896,2683329247599995360,78048432706138362,607118853984852580,711956799114866172,754200049729646868,1732834861486766128,5074534846510578624,430422873157763072,620005030046042192,141103775115989616,2822426149850322240,317351423156614872,376710134746280048,4844017634250102480,46777441854164346,155944170098921040,205880620022008064,772148184581113320,1090900232800211912,3407053445666875424,422690179506541820,2341769891907967020,460785996392288770,3950084340672388800,2212973745420182240,1174920749993211540,1000030183805468956,3142277851093062656,527217379942769640,110616371522494346,1014052186016536506,1842468621512010336,3062959011185816064,5929787938112682672,2475865313187249570,3058071184216452528,2260004579764589392,1378591333100393832,762912356736086106,707801133039603744,934578513751650768,38322020766050336,191633833324166240,1132595275166136456,3486580816700901920,46612447027762958,2797093035643376760,214901725720080560,2579139879558936960,1794520766693464520,1907737075037497230,197636518490045432,871701265739358448,4560042155196896550,1331758329005428128,4691330483526976640,1878252639148847712,142151970183085824,5686781829386004480,1189553163229021668,157287787497727184,183586305753886728,612029982987166480,5223710261291263336,3117937057168977984,567492442798208312,1368141557080609090,3790741369303331604,2823459151267830880,3092322380115247748,2788364600179504450,1376672399039527424,705924871921634176,1982408665299975828,3947970543141574392,1600751650398948544,278073671077136280,617777345387350682,2305590636287004846,2918683140095640736,1020510935969633904,1238187118079276304,2892218218978928,115702995811170560,578586315812076800,2290848048313017224,2812326338537806482,30327647255935008,303313854318615840,4270750238197487268,763869507982063290,753829633393752164,4571904296928970144,1773394280712211332,5062959377244824144,267291082966780192,2810227388958109120,992287401302539170,2176442779332221960,2874708023090544600,426100011930904416,5163653816362671152,1525120112226438456,1731622809561804544,614119520307454272,4997435065038987298,961889741019386796,156297029918313312,521054185716371520,3894061401301356012,661290852450702670,4373910479277719872,212122269336684384,2828644650436409760,3017513308978310128,2575962767358928440,411385788043509820,231473156706148210,5331683228401848864,1880117800079996592,52914494252538416,4762889508633578280,2521672719228162448,87750818796217648,501849275943797180,2038322355257551338,3551033641899406240,315442020549039384,1369873003593403680,2034561576069005490,1624758020553029130,1248398837904531040,1467674852040925884,149479251544118784,2989951801093294080,2826790934631326208,124640709358263552,3324159891878722560,1313985455896837150,1169037367888732912,2933157620807748380,1244856721307960394,1276046337776183750,1291355845814601168,1782638654173830336,1952405729546730136,616604126560958712,496715372052494824,2033770849585536152,5101601248409201802,422084890751297188,551035452370916288,361162948521795448,1032020489957554840,480072854873194876,360245648194558536,3365316676586384352,305177026396632130,1421334018278009636,328999712135630816,167666604521545728,838435589863892280,2594873691073187190,2162544860899022992,5044419636942240352,1590726086026417062,1025883984459334840,3425205170317025088,1025319272566532880,1951213182561118768,1321587585722903044,1623724763717483240,843696850724619136,2541020344724333556,650896261457213980,379242479793124944,3374590061381350448,893116887419736784,2468171357469518030,483910589936511872,288266465334578864,2162262468041088060,163356150011363458,475998048157987264,4760561494494827840,1074116829924404832,2016707581824799932,3656608849116798848,3272633323962712300,1392166364351100540,434023705484166126,2957785535862267880,1228878823712506240,4326377126825462268,624483968806778696,777372825254545772,3587843391135864380,830157551459940886,2812387936900547082,480688654156731200,176989076945897112,1808140213977379632,1319688917311967412,951076174061050200,93266970684529152,2798349927562667520,1478179304108356340,325225269812368808,1004111313533114976,1321797073895968904,489147906842520684,238309741095560672,2979234344375993200,2294779963907461810,3965394043543523700,966834548445695328,237100214531774208,21497189632006010,386996483406524940,1290145181404606800,368918712705154460,2174330498088483664,1433667393817861384,533204981793814704,203965617469790592,932224865150874328,2270587398739221744,2428801699847695140,1215873340526271744,3383136637615243236,255255149209104788,2444805303331597920,164812223328127392,438001918955882232,730091855819619320,1055669133478117340,3749889965960025776,5034990948406523936,6220217349895411376,2046300503610854712,2575919507006797280,1265717863099971132,1384806157001505150,3232761294027160224,880873229435832540,950288345249430210,645995333834075296,594932431055337984,4462534372278003840,1678662886000141770,1002913501196453140,854607447575909136,326160605524789100,933326155251414756,989937705820890344,952614973377221544,2418548512683702816,953188255814112318,34933087693261608,1397492784739585920,999530655264437424,341622517635332752,63723727031797282,5098515493510522880,391172371561067264,978049327911591520,437776037271690972,4679608400759880644,1073643878098151304,2074108867567940720,578132143834051470,1723726277742467040,846889713472426944,448840194376377598,3186126789652635660,560770647724921872,329755127281615340,1978770018670835820,2087646201189966144,467365636037509536,3763961093120597120,797074577179635332,24100880773280290,1687265540669941400,264350749922997664,2974305275217963540,134247778366820416,549810411801496872,2223649030217914368,1379344458467819970,759343002238086492,3121614774615510680,1381649034999909368,4494765786789800224,323178612565766710,1292870491575486080,462401649136396928,2174137888066601772,4036211816444143236,2061305720362690480,1168313684435342016,1436333632422617712,102413782308621654,2731363590242152320,1657493112351509888,779025477950237844,639348744182077566,72591897544371152,3267029188377547920,3155056553028866808,2663016475656455450,2223614484062634496,7095239979130053648,1453336755465302708,435261510780224296,2634957493696508868,1623780929789176356,1917102768965669376,173025041824708976,1483250378294849280,590861413549510432,336718023061288218,481083654967087620,67489787357393232,674979104218866720,1515368995947947584,1506536097579632340,4364144759171813952,657938854501806152,1437462776862789516,459866507322712724,1841976045139668900,560670935938925884,160349674064899572,267281590926647220,561702497486016912,2913935611518694224,525490632919548210,938480648182970592,3832551273143312980,1454554694932949604,549674369507586456,4886581422342520960,4172728908183229056,2560731418718709696,1382306557149125650,738990571021428524,3006479314727021808,438700350531128112,2981116061204457860,2596160055019815018,3593760375955901872,3061870392796645248,205868399913054544,460430189775207532,3040613598123790500,1943444699019551312,371794673256286272,1239464238695893120,2999774058338929760,401486558194211304,31476242030788700,1259200649754404000,2322227727542084148,2159204954484128976,3580960165808502672,1830863048542131590,920351413824575456,2996711674959955600,1946586652618963810,4833495484090002156,1496317492829752176,364921256905064944,1336074082619239992,5622472193617349388,3834515495874541344,4692595622548778448,3652913917404964068,4302452960798074758,2318497958158164300,3081304739675831928,2275557362069346488,130318484534680104,3041128490541314880,3009125544062202720,809853252230023848,3285579586522003284,5296987706753259776,605786352160508064,2485877674819830792,520416301188250600,4485565585310823936,1337447552726210816,198075340048287036,3961980311765261520,357234647482207872,179826625665511928,766916387502621776,931728098836790676,1390854757349912976,1577377823915599968,3487953706133819552,1364731833602653720,1178574723807121104,2495008651335551624,1740738630620575840,794798905172500728,2129741804365358544,6062385965483201536,676269660377190788,326511503800730376,69936783622390104,932601709357994560,721958296568748332,1560759013915415856,3352733554179825648,4544129504278831104,1307147752616013672,280141859643563064,2801752620323406240,4495562192923313820,3916176576745225390,3487799295806876148,172585156304228192,114120446466652832,335276014921799602,128517701934841956,2395368028797574060,759543881798894340,338305912248927714,1258266743184060064,4598280054760107984,1616326405473682112,49930402634942690,285350555741310800,713461314261214000,4070964841044014592,984036506703510288,358815730932074808,2563274499183619200,2257017105621296256,1595211582082913208,2273140652955537444,1231579974521829296,4589531083186398916,373468550143844784,628503109931220370,2693866896849612432,1795768734378546560,4032947820694413870,3074785731026459870,1751309865471021100,805208074900438584,516165186601943956,1391229142974880362,6633424724605201728,359851742873841504,815376458569724478,484232525360804330,955494085551939576,2349756266618476716,4929672551375730834,3101739450655267160,3217240527233251632,4534508174561112384,897469464890675260,700576779943389392,262899560547309168,1008915291725599592,366842786035983712,213654739544085204,1031663560899098176,590891285442843104,2091105656570158072,1454985711101576864,1972096260033429840,6307193201688037584,3121993553270898816,2358959786904379092,1127945662491741696,2652430019863654272,1820053427941389550,788739296518295096,6278495152978620576,1932226272454794112,6175878679689387760,2067108689138299430,149184587304108480,2984045105146660800,1359527307572558106,698453301607693802,4374889953141442248,3995226256509609100,3389992363088871170,279217869216853868,1062396286255202808,2611673021717185824,3705984958775181488,2838123751959957050,6382851484028725888,5280388358029006624,94310283698220492,778492179957651852,3872628206408613248,3092269081701840160,3670183933955415342,82906553476378170,368517128599725600,107358820048781756,2336183801077132314,766802886658833130,1438910915850585648,4079895854325323136,853314078997572024,2004278539258805290,1500329851724658896,676886220985207184,250390706837331296,1878152055499667760,3888757766746880384,5318710516074964736,760936302517976832,2717921104221103572,2717831190461210040,3166385173952029260,445547472997140410,2639878669181043290,508215259549353328,747789074878408064,1187828756399765260,1487235508540602408,544490558747103096,182477577633468184,480233611038521330,1152283634098619568,1871649226316909616,2612017194819542840,647294660041655584,7074580786419283722,4575011451401780676,906046902900068560,355739081229355096,1298471702399797356,5629543656759096264,1066462486962354944,3418531598080027136,370332604537890620,865151682479063616,4218785198542838336,732334910823534712,1948819200056709840,3752221456239949056,3158953495524569424,2487072852751921672,558993584934275088,1018787981871237228,243413075362834672,1992245051805801710,1419070790385855768,2178284849855178112,1596185230324672416,3250995175997694112,7085316517398099792,3995701803444106272,393059941533492480,3144849156492180480,1945638069365986344,766053274008113840,849184835771394552,2227215706662758028,1729662021676138512,2017105938784335420,3606500116958569824,808303749273102966,933884497675290952,4857990464186470688,376083414755392512,478531390678670888,6137672046602812830,253405928694144968,142862674180013912,1428794413020685640,3452806323734075376,6503090986555072,325192700135591600,5854155331234836600,5281549673957111646,302218263311573736,3447612643307657780,2891653379335217412,4485052086632964756,310588305935829024,6989056189562610720,2565341502508013838,1879530409129548020,2818912840453586688,586153505142293780,103927992411276614,216691891797305406,2086241608599436288,2509195433055344208,1915947343918893012,1448666903020763612,1975945819672090344,3807819762691392,47603320438150800,190435575833150400,128711962116014312,1390789480999194048,4658908786216086510,1871771613178876096,5536498055170334784,657913574364528352,2452455480335800134,6060299255799678512,1256974863770285824,6722615081246211576,297431434449246708,4461993274281821460,19887081492630192,298341101818780560,508977968391604362,327208870000740168,934991765238464640,2197688985006585920,542986326554434672,956081766012256328,653437754000983780,1511848679353734344,773022277379462604,1388177041143293586,4485047442573691440,224311351225208576,1121687730301797440,978010333899775374,7034241304241952444,1517479311154686224,3417813927984424836,1500652793574648740,513349969330055872,3208811734411822400,1891132950091158234,1031683988421019388,1573805856566948608,2505561414910806336,650590194177889866,1430578520125742596,4273957022176923648,3400908467596456464,2343574003534571920,4941636984185957910,1573261349670552672,554618834558451024,2025622952931659886,2048760703863834090,1570339967756044576,795762253864688992,665673883027136828,88621058726472264,1772627640480223680,3749233667575396448,4888408385182985010,3212304231459661464,1778575263112276160,603153355912940560,4228806394621197328,2488080279461437952,3734196793351010616,418152115746473212,273723598796906000,1710971567407637500,103335157685257216,610871191612816896,3389264726375410488,1784492608789250976,622123916597127880,4341950499695977084,3520730493025096806,1181336647340082008,374811340578245248,639101131431876432,938301548812785976,4790796110512323408,1580072616825868544,2506455844398919616,3840745230531648876,5252285789752322682,52429929413676552,1048720399309033920,680731033104379616,19426559564344062,971440780768084200,838646254995577032,600369475260090196,3037672707005625468,212885624795483136,4258206718061168640,1758951835218035264,472192771702936620,5570617903110388096,303665227265932736,1078118276845910164,1578985082697963808,616553899067707744,2685489416525872896,125557856858200340,1758013842794999720,48221172268556144,723401448538552080,1489550200563826744,1560942007095401712,1705047626285027328,1363767811706800864,596668578732382752,2631759643763020024,742154375785770124,2998490069364110048,823539494543676936,2183192679149049942,4824413335105180544,949130127813725520,1146592540777185440,2496383077887782576,3584356747080870348,5148775005584357952,5327481469731970626,671950053525019122,746697579511404640,2357345038505015904,2724325558167588752,63998640224447908,1920181328475815280,3862863343043897388,3027427330165173936,62545092679525752,312761629135012320,3099431773251226560,2080139345452972524,856829817798424988,3102908496126628128,1066830240318213616,2525475403121701472,3236887055837982430,3705429302856699072,1275206689841648928,5421466077021854928,244911682696379556,7348199212359537840,1892678775718097172,2691878742570736692,2400499836780223600,2442645405342093560,6281709478358860080,558179952772000536,277909458068513418,1329063878605437780,1156334786000132256,1215048704854323844,417682083255380804,824285339470496384,6147983357100157184,139835697448140946,3359842661026788732,3411218020596795936,2614365720252188064,4653777753514417318,3882504203022318290,858602787403603552,3748038035738587136,489479773514068050,4891393006721642470,2185515028781349056,1709386445476728928,4119860335842129168,3416614122125902050,437467316535368448,175683452114480680,231137781320910792,3082192040446383680,289333417894707928,3639287703643546872,367001046961907436,925548151401961584,4213091040108386256,2377957035666339584,1351439596492189698,2407885535564312720,1461942422817522828,4010418377782992360,796703560373911582,1586687772633688952,601775209578628576,256631832710754768,1325289169996003338,1049681338558458450,2080647937225481920,2383314629635407888,1471672354314084792,1557467056210121420,588918976443032408,7528855644875109888,6283957729061910608,274116803109336818,427896544776638056,909023566044210144,664228181710694300,5551815261948332734,2075919246024431808,353121553561429056,358315718439654234,2389045758039202920,1827167920567642848,562737093028848972,1323324168510797264,203527121529563972,348158194966669584,213801954211054592,450530968597865204,3389914464079348272,2344567817803696864,6377178212758490176,1496394500029856504,364010861707740188,1050937067109236736,564057442065984048,573371372821309332,665940234634256364,1856346148518604764,822013778038095636,988232920654478478,3036438585004448264,2490553661882990256,4864443904377713376,1493361958830588704,703558808839320208,610903633450899096,4073157413311013280,137652269629046016,2065020519465227520,2410938893856055808,737630837960203208,623062819773827802,1538149266725544256,460272810355757424,2225069143119512520,2903016721037209812,6173243308512574398,428813865341260880,10856302794648816,434301794392927440,238815355134178862,2776425039705859392,818997303202684480,4744967463054508356,1410625563562080870,557860468065171552,493374104312610864,3086677055218882336,87027825925595774,67326828703416828,224448412007905320,548482054130461508,396090093851654692,2840305188937245120,4135174076920371072,3267858515016272208,4797490775711987934,716667854307824736,4149301188497692272,625271781534799240,2811793293259276214,2483648184052141824,796383075018370632,321108171882368934,884373592704083944,4609923649845477696,25222527123684904,2270286474117527880,5762918638867319244,584813474152059384,1497951411576716544,1380135047056178144,801142274688606848,1210241234837504288,5963536787432806764,2021150376103393002,2352199695501546174,185711765466257968,935015501466604032,707693106394784146,1080849413281199984,895911407274999192,3853327306812123192,1857291228307950168,1548456918026358200,4192929806566776912,401728901223923680,4890147921716276064,1059558492621704894,3310069301754684380,2630075911372515216,5506974061609254822,928951827857927484,1392455622929375232,578731029012286912,2378387037015393768,2495068048731598992,4511741317748394996,2863635647815449192,4074812256761398800,2489076466543264530,4347472590746746552,1918877359285444992,3462631747347610760,299706930611820384,145771087270740932,2417655896766995376,209727752507578122,6292547796393489780,1137393155679055296,3084725138733168608,162955098813412356,2444604236497920420,154109977751269508,2061107896746973308,145810450207963664,1458270128138038880,1595784918684718496,3994882409821581824,4634225421255585568,664512453997702012,4630159596298330276,3780945615994086744,1899029526523007172,4198461663031914446,79364645451393568,566954657900352400,2228299079667609936,875587534337419032,4300449341707688688,3998880441979343200,4318338796490728620,1400639866549470704,621317067286121472,6213875247752171520,185189989507888734,1234739907971481720,537299561708969892,390323236497120960,5465144701927458240,389482706692001832,818701657294088848,1563747488366866760,3340125332426770188,2123000428516065280,6539914747880256384,1838849329765124784,1241729244409378760,2660281706110832090,526039735979762688,76393990458270848,1146039598651156440,777705753957358736,2741213290607329824,557190516649357640,634830349452100698,1998539371666921640,5074893069238916352,4395098393411577264,5318606891070420210,5306016417222743264,6394181485706286048,234256316026806176,4373848350214332164,1412443488352033572,5087659898628672512,2071678666056481248,140837486762031012,1252030289289904320,3528177924134780980,898713684276755880,390417659602745140,3123694220187691360,211223234607984912,1408313992100464480,805342451386217080,3753037809406376870,4992574619066253248,436495539256699784,1384867754515898016,940521915021088350,1106383245359652624,1102460718984178176,463051913046099728,1186895136029677944,1536684764280378384,2383328005713742416,193369197826307878,1477415452849181384,1938932174672996160,1727290669863786752,70902068641255110,810400753458847200,907222878537134376,3251000346781799780,1871973653405084376,2216681306721035700,1965476832843686784,5858625662401974016,2969054892053056856,791617769895181768,917211269609247576,1332142932233310744,1863842725177804266,517932771197427006,4331239082629056,28878179920337280,48135721150098400,3851291403558976000,2486611574090907900,655962915350243060,2058955017090708312,3316697861055964600,3107857662419217744,3442323363679921280,2490974619746787474,526855860049010746,753148011008918448,1673850573327824320,4721931734014004912,4295158959148568832,242333682525699072,2776589710709961536,23629013652885368,472633420208928160,5067098417238935232,1114979879976106832,1152667167177066996,381397562378232624,352757000506965344,197790187566650304,1978124170759835280,4900931960350941662,302842391986496352,757191047176276080,644797160856511936,2702325296009851386,396138064518948448,4470085295285029056,5718564001735759530,867899847636243402,2055106437743047444,1344665506377981424,761719681097642918,4098497145219500088,3051265166555981536,2769972755720270848,4277838778432008470,4507766956071826044,5174339795990675352,2180726602420649888,988457618518227056,6625098377601276636,2100353649949754240,729801467495282784,2487104270655896192,162497940441186672,4062903999687842400,1875702916280675304,2086117481616611352,15927271817258736,106193713042010880,531028071067507200,591327197941485096,701029272378417396,2396785085233929056,3503522630175764868,833601341014243176,2766583386177351296,4160515764218904560,3978789733800341824,1253098337586326860,1432150731608580272,153004331103543696,2550357659163589600,3759220889093699550,2796985110483310660,2618681656592283184,1303351811127717120,3465758106492425168,2495962052433612714,3405854161266519172,3592401240805622980,4675433246858431980,827142141569973628,1303761298399260864,6900150676052750208,5506483403825854086,242060295967894026,268985952117238440,380564670667140180,4567286493927513720,5765794887713288904,611331517588306704,441783114387855408,177433083023565810,591509687836876900,4785006302261394104,1463177538714982104,338899156928918308,2317202096019672498,2236515805780652256,3805932234232320768,394869625144710410,3208001558900440428,1096599547655038700,2685771805780830048,1005845802566530950,1467772109268654756,4901119965629631744,64009565417519104,1120292372159023840,3635519985690900510,2548204114495606632,1684739339700121184,3227309706066623856,90771634618445896,236866944401973984,1015257235178548080,6858405898074160542,5644136488202731044,454131527332204044,1918421371756390956,2461513976521193718,890683926119855824,477439793401323024,5739766883561797632,253551265133165334,4714152994541774112,856605317265554528,4138737288476212248,2313769479738234114,3549464512262532580,763270126581333504,157115130999631792,5499641775681648140,2552566233444317496,1252284480905584056,779612840341942152,3387004692527789008,3646710113697452340,1985773069564800544,1870970349763967904,2282418269568689504,2524506159272140232,525018792949148652,6114157307428477188,2530044320330798334,3248445612448751364,760427198802785280,3862963256400120432,1191725276133675272,2779763654874999728,5898370180994071396,528902525643726164,164568878776138984,470249042505243680,1787245882809319632,690289494386785376,5300007823831875154,4375269954082987808,1200483967108271664,977182682992147296,4117798612267247352,3569140904836334310,658804882301831616,1096866489776280120,872535867205841168,847356256876206504,1689175797636661812,712658524499727744,326970591243509192,4204374043539831120,274847003597332680,220326922108041216,888488353508192248,2772016082643449088,664169801894287500,908580023715282464,859673480265018900,4975428895703303598,990185634252422656,5005721564350665648,759508052057624296,409237782011312892,1425973883333701520,1050698500116499460,340018603160944864,6062825019277538224,3719551282571379696,27642962168550432,2211681921135635520,1089250665763861314,2632170963706973408,5168893670069284384,2325822619120106672,2362933781495166978,6035466154344337088,2058408412365278472,2753132643624826568,1418144838243493308,273060853269212096,2389546850137074320,3067657008083209192,2441087537083877552,1616037780456548384,1234273309262580384,2932852273525079412,1423052329047342870,2963405073347873820,5151075507535432608,2060146418952263984,1617951762697899888,140561068384062144,4700923688066075064,7255184750280290070,656873551364195916,1055880507326705060,1377323187321230208,5543300819168571606,847659379467756716,3122445320548881936,5484768796374981680,3046755955223305392,542389394766192568,704403966457514832,1737139228941073464,965678386911632184,1934537241137848536,1274135096016143760,3114176153580334336,6349396999446951408,859270680542494514,5633858977015320036,376638394638140712,5650199214532521660,318252808000618712,6365758264859893120,1743588428997413376,3729789905419657170,745116210157406552,1271752446126382752,178550645609807776,1339277476762977960,230256183914518510,1644868316781928000,4412793112071614984,294101470497364782,843157056429155034,400676349436996768,4508105568242397480,4594252769259237360,2943714031376218464,5254128733423592192,713890396394862944,100302190516465140,401252942464735920,2080821585708093096,1610399574121700616,124701380053823748,831434046844717840,3632986034910957696,3634307542122034960,1472318312160829032,5982108014768095088,1113209570511847848,1413196929735573024,681772569979042062,4182209859812015374,4496490527680441472,807514997438325376,1927916255546251904,5055558658633794912,382818653447700848,542788751250583648,2035681577112613260,2799298245625866390,2354692852032035328,1674448585583799584,3285307563102404586,638283815164467276,21946572483742364,438979671650157040,3318184772773216416,2348250761712417536,2115996759762091328,1676380381267818720,2573574268845562626,228499864971511768,503709731224522792,2948359084797229376,243982970121407712,1315941892770518248,2396128471806343344,5247477893552885256,1465464654155784464,294737079735663408,182024865105960184,111444436436479896,1671849920839855140,296493344199368816,2223943967849550240,2498658558128308224,601045317668873268,328845136397987118,1631486582660061536,2037732228671613184,5336685049976519988,1450935327010043784,2240103376005591360,813094864011433840,5867569109132309712,191108049518679436,750329724193860912,3217241145140215884,1851393256841268,74063841549078240,1666618942281883200,259153033691402368,647953527421806920,1118140294275800370,2243624746635465440,159752384171673300,177522078712143500,7930991512423155474,2293656545713226064,982484417260228384,3083658288498622590,827367039679457764,444854627823543448,3044681068265495568,6164036905733864768,546074777610733056,727177234267951488,69492121258270880,277998879298867240,4453002779947843086,1883963722614499120,930415518155854320,1604907442455786336,1742953943564080100,1959007534845177408,2331443529920801736,3993344043742431560,2455047785442802464,826998683186350836,1996459584301188748,1304489811794276848,5873978470224515888,170147281051616848,3219678955232141248,6127673982452282204,2047090224745667514,4361205503366602016,138637471067946752,4159578101375896320,1304204220013515756,239762572739372144,1205685765159236544,5790290283251988444,1202648735233730512,2422635536731217936,4688359814979151024,2886128369608739934,3186304839731348664,820048244144998440,816375313009647552,1607843567952411972,6181197263800406064,5950785859774003872,249712915428176936,2099431084734996684,4946285596651060018,6191620256863831296,1095307608371482016,82010826768652372,4921185697443506640,975783721737661452,1663569154206395604,346171843590034784,3462095447157820480,1790054263240621280,2628391535616092064,4637634771953763118,2928873051555869718,3324939029541787896,562312191247886976,1516711394300872866,4431598614998115120,1230723885661170624,2334813957927279160,166361062911529710,6103509106422387856,845217016881463056,4356442014151248448,1634567206896203944,312600051582546130,3126340453149976400,7602433244663442624,1336861595044384136,1912818820047675258,129221228312750696,5169410971521312320,148948549301412162,5288564510088374214,928117364215189504,779792339061030960,2782303610938944554,3289198524699628476,134955481148322912,1349701400669941440,6220425205504648712,4571801429067127788,1986028072114334640,720899690189463808,1791134958882339932,3311190759653032424,149143728527945468,2940987966154615180,1384849674390053208,888103327762840770,332771286661726016,5824129398368281840,1116365559282087324,211325198692356448,2113481225896127360,763346002213685820,1200045382638365508,2298338468534650464,852234168727477376,321659818667303424,2514588879499903710,1517552012045373510,4812231238071749820,5758550450457282660,490643641875422268,3271312092343507440,95347846497091104,2225024146451149680,1850268636429174072,393508023113480680,703974506242957236,2346835856791467960,4037642076302960776,332975594867629756,3059838120462707080,3417262263939734720,491543599724384454,3073987110650016400,434263192942691088,1792353220886508920,865179558182508842,3936834178035846704,774805274272092640,1233574948902657520,1960065901985631972,1474861008896909264,29321663863072384,2052738475861687040,1473716222939986886,2323950118792253952,911965841095635960,60854873589787648,782504394704599680,2608629959452857600,1572792983420468124,3513293830619891900,1339776825149005148,1707311801555358210,689778546235439808,2695054735079774920,6781495135666326000,1497462054787135290,268855727245012908,6097397244235998064,530565662162524958,3803853340265002150,2345060037443056752,1867749394851836784,3850928745085738680,1707253018094089984,1260525459859018272,7607004412907436408,1855899102721790658,1663632425162742544,387844678065509904,382881550659799464,1319791958147304796,585725961375102708,650876825678405520,817237546519934904,4064804927318901906,6994290042467162784,3828701817618177528,10018589941036032,300590102110000320,2004150044325753600,4096320710136957540,2720851315849634472,7814977873804422126,2887257752472295188,509764228661696960,3629031346241169920,876643876743947182,4486499684364332432,137092240913384912,3672259482473475552,90418280466859590,1205706901605239600,1943164140729738136,233736067827746016,389602053825622820,491863746070840416,3804797653593383472,5190425838562961136,3482760752835383024,3509197498787074380,3136613014776625520,3973010670649696480,2561433603330314112,51910131621810170,311494292942776440,873715493421946084,2676731851161806928,5443709471669451762,565790862475692672,174501762978867264,831104439267572162,84146234034440354,5049316749935786640,373743908954127496,319460921892548544,798738131827416480,335358049739247104,1828724014866209064,607079621503534312,3489220073500402584,976470127534981896,3567931183241046076,1042382450159929620,5720217807521551590,2590858942841779872,1190845448384998224,2457741490318653792,650383568273398356,3027942731465810136,467271715822881340,650201678390103070,12794373030102406,639787297165536800,363350418030404952,7960631905083727818,5373652926270550842,1885709740500567744,786037855903040040,1180051611297272766,2395094988088133604,3309610394552296896,20580799086635904,1646640448923273120,895327269159064336,2422032232228138128,366987580654221248,917350002228438898,2744522028019586802,4444297807564337440,1884406191954357288,773828464441006072,3546559907854546752,1072500498193022656,7603939571773582296,919441325481792830,16239195744378432,60903505046986560,1421233944320198400,1736205669002746836,274462086732795564,7319772443846145920,7907937652769124996,3602321086310087918,1100329818584946780,8146684286406272880,777263376953951848,2916271780187233636,3414090127613797408,2230200691283789920,141714720407306060,2551137789211488540,671438338475498622,746122375750757680,199313649268161792,686527295753488266,3051558621822797680,794957502626833104,4852579337711347632,5055371867214487672,776529725572702198,1593007731462239744,1493068352976027520,1337472746177453988,1160400435320409792,1463220043271747968,7261951751817559776,6273883094289934032,469805087941255148,448470071077264600,2691107744145943200,5388798785105584784,846746062324887666,112583835067957736,2251917045486340640,673538456522669668,79679523772442244,398440132829700960,2353568662201672192,1218046170949410362,4086985562734899370,7120976801131072584,3700405680701957136,2013325524401636130,747188523911040822,5153604331981224704,3608084720034779648,2127842104700892342,2512273713367105368,1477820786956437504,2769054954139604004,8241565153642785162,1683893662580961068,825244706452072192,966896018888696568,600447966582593976,2884249908114907210,887777176991641664,2222554312662427152,23002105217911232,287556937011584800,1725525356526854400,202239098200392416,861839078338444860,798643926067310302,5262836227036740648,2070109137598693464,905369236992959490,6197236204328763482,1045489289922843616,1796877075387714840,3478272803937696576,5154244649787556672,4434328287602962280,4803975196124740092,706811536324738530,1752205450107935982,2258528403972080128,131010578167920864,436748360309042860,5946951648532784544,721077823575810504,549866368465554392,7163561057815883136,1221422011890430836,2176159465997991936,4020257120814583400,5593497365339308692,1300328981371659032,68566222636070432,685735061658021440,7715338857377634600,443444504258547428,361308230738102432,1657891376091815072,6913289471058165216,287194466963139918,521053599217763448,4342574256201767400,984223216134771354,2473989510444257610,1216749508463894080,510621619086918896,2781032091291932128,3144431245245467758,3101962626884325984,1604397632916099280,3366170090619072464,489945418417156644,755142101567313720,1315812394284322816,637341642063778086,5665859704212105760,5154762469329116028,1030761703256919984,4881863871446154246,6958419352354308870,2599839229384014912,486992698436434840,217253610029584710,434553257461174740,1867957787718764544,3207916874464935880,830319500865290876,5985189648847178952,680442625583881824,3079834233682551488,1742907196635607716,1254160550630554664,4090335536334365232,887667421424640804,163740831870476406,2116985221722719418,4265876921119950976,4033948205010687600,1786031564909097402,1080545846061783096,2414884141355639004,1636930121465482144,2898534653831218944,1436280403851394396,3915048788423881584,4641668476727092480,4436371307061034370,1902994222669705672,91977377455985980,7358968087476395200,6392692448003406832,1047449046758606856,3988700861544159040,772584557009057792,288346922668045458,961257968081967780,1207671446449084284,1448179647557117240,94098602693443922,13595720720031164,67985783394660560,3399648166734248000,515858276456611788,710199164212871888,1118549387321748408,2756817267509165700,6980002445121308586,2206084711532077408,887545475653645728,1376764721675416584,1696415034510845848,127447478012516908,3823827751381984080,3798516051532660120,670140047237408496,905756223078287930,875738155846312696,3003556721509536192,4233190645930887376,5496649008471753930,1469611288865267088,1301556428662751640,1481870389737185720,770420191665120710,2416990725306707328,3375924962800604928,4252865782904791416,162591462004038360,1626085937293903200,1899888376807731648,2128630122917231388,2207255524902421494,7159306103962476696,1363417488937703136,6353869273044869504,880886244631616416,1306270147042925728,1807612023946728944,2383097037693006904,328952311388275952,2374321853825974640,398822975475094520,569807068755132700,133765203214030648,5351171137886412160,353597904788933436,1439136573573286476,4686844997645744976,1025055311993282000,2148480386185216800,4861097357575960836,1409359880579744940,941797267142398888,45545119563313200,797123388397465500,199050800183378786,221772878836614144,168966753381986152,749732130617285494,3666506927310164376,2817741230945477136,1386682767629008836,6885830390438109344,1284564199393623114,486737694257284392,819325997951661200,4187524141334508516,2750470113982286738,1322011910004863168,4268931310015807032,3685792874381993354,5030853538005076950,2648827492605556080,1779977715638160680,5146730315739228622,6085551837554182896,435630638694231888,1452254496998263520,5339274786666132624,158953656657925108,2384554969690226160,1641055705876027392,2998179063335782872,2519544954942381610,1304826766634317680,2604392612103527928,569589353924655764,193087079449185860,1544858568639311360,808604099949697632,3594172679489408960,3472032477374533618,1945602696167631520,1635342432156496224,5133506696919597850,2911843806121872648,2693166648763789408,755095999389274464,943676298269207802,626842659108622572,2413992889409160864,1477744295408440224,3611647530011350408,3174102607016788356,3971985403783422480,6307499078786016,441571150921889520,630881953233487200,639148371445904424,2163683316842144136,1192522385782480564,582248427579962192,150388435972922032,4512125045074005120,7211636398695980272,4030083335806298192,1544493645615873100,2263267895069166804,622916493647374728,2764785192433106460,798937900903730240,1258457725362115824,2047688674842200240,2786848821824568984,256908884654945796,3379419254418532160,658475492960368410,740307979050162364,7747434193526907768,509803673508099168,6798092371893428320,3679441067293696992,4036198691893344408,285008117675449164,4998170452308644,99973846884670640,499921424670723200,3624120111563613984,1763464079825790020,4097582901406317036,1732242040798991148,169647191532248352,1979423775928224080,4655038735658799540,1546996212042849936,1022436043989813376,1023921206982461412,1502287055839367720,4545357330727337060,4397266156490000864,751102962916430770,5199875218214052972,1104168329663932512,1664844450131384784,7882352776626557616,1058665674851628470,217943046747414352,279850634165058264,7190344144996121504,875906904072962356,3475133648358843744,544175943128450496,4535271960535458600,1034022894415054572,2923693848602030980,1123075566285793272,7132732559616575184,717604964018842956,6618787448018143248,3486665653799094520,2210063236367566174,2429544802687918384,1647731634906931884,7036126805670991392,2086145249113868562,2488854044772608352,1024148519132336352,3351194097968396736,2477972011322426970,1288222855744044232,3643495740044465480,3108950687470977260,1512823273866840936,842636250710015430,7231404163198451712,2796662331814808304,850487987966488924,5296623689945072016,1259323516066782780,1225528498872373408,3683261534668642404,559713006328502208,5352701470274476704,1022637893782543248,2193777412228610824,716679976744669210,1473552321666719196,858163405134959400,1905828054793533416,2846439387292336524,5409949625989203744,3862520298541366056,949388057555516296,1859191975912273952,2117698775728829844,377126467899708492,8166478289558907942,962211511424286636,110349511882395240,2207219257828838400,7322595164955500742,3960358220193057184,522617108370362460,4720725040117222824,2018668072907438244,1327601058610779568,1356312549537266784,698123985695500368,1742059592259199428,213593942058131796,2492187674903098760,2767631084290756112,901596407241448856,682683745642143376,3264905785941151536,2635501452444469440,3396015065003028384,4181070739284997280,4952580974097492064,1506381778343078896,894938629563417478,2346422638444916738,1441136228472763248,51363743021961720,684920825914826800,5283938359339386922,2535460994887108596,5528438829542036072,470318903832338704,3050478573232591788,1051540766283663488,1868472706509041280,5030188083737710248,5736960302887724736,3698225692664955232,3155079639991695136,1531185437606982136,269992116195915204,4694160925478876928,609024840741787264,5072409634659101154,3362020668480361160,5119701566899825752,1197406639920929896,2075047421407539768,3092942130369341856,221783146860017152,2218060694424279040,3412153746596167632,7660587951574001064,5822326173219710336,636791576553692448,3033604844066398260,916165645449568092,863396829272075280,5364559307284677752,4697541916014725810,6739296076312146522,6862965663318766092,6294974030606647988,687652563162777428,3330076204749511308,744195377427127320,1425841956358192256,1597800246496220776,297036998083385448,3665483024036828092,1711837521899484720,3027151508721258212,2384831092519823440,7374201449815606272,1676869902134721432,3114706609043488760,353718863137674128,2653165050969205680,1088859826520073384,6818106113292772688,7390759203615600684,4587222271065929568,282499078239631120,4495537325052983560,1293290924231004376,2749625610599344288,4925079773076511188,3932719292307891420,3094824225096405984,56789875546535936,1135914513005219840,6386212168685775356,3137917607703362666,2507525403628719776,968767505610180272,68831389785660090,1606231125337902700,2195387942482734624,1531255002442894656,5426001481176059532,3251629317474216882,2156011797277357116,1297892596387020252,1399387580203758012,804416713292366624,322823313222798336,332453038131664632,856924495346319492,422785796864366404,1462472696085895936,6074030717147677088,4993489055448195588,1191209436360080552,801320267201200880,5093120488491669888,4555741707402873216,1726886152229929820,7228900397631795008,1689956667763482820,3361925491554634466,4680997095088748140,5950901837401074864,1622066523370976384,749384279464342496,5920814543216332886,2163336485424013368,1761446424753365392,3205451897630317608,505188797973414770,1927172887326996120,1648110403700006912,623207690091471940,835769974204206906,5100482892911502432,3025843463031013632,7088625650299061466,911769052386964884,1336842895912155008,2184008004755596040,2963211590943460104,95451332184348590,4773056178135119000,3306273667072290992,2570804049138259740,2371252392381368080,339803946703039056,4531183858124744960,817340941350213610,3761107976548596492,1504332335006775520,498733985113111580,83186163630578622,2218525043163131360,833359935026173792,4586686909041602304,3531002724281869480,95364853003439786,6676223583667925560,1607207109867342008,1087059969704385712,4658736135990794184,2908519977025393224,3830579328481881472,838119573740425334,612983541329400948,2424509633256111936,701696279515141512,792725792997493928,272680432783355184,2727083398722493440,65174929789345376,93116569896510160,3725043897137763200,2261218343852555696,792983680741058820,1069793540108698972,2780529101812832370,1398989628030582160,751929388385738688,5444342231676083796,2562468069844339664,2279518999359167776,1807685347705875168,1692854163264107844,2626400360112298536,969786107395936256,938958389067564856,629754426855948758,457064963606186936,2029910668482788592,924743730855483112,484012052247207526,944941499509844268,684219628187238024,24073868646575552,722289815912150220,1377738030177167724,2781063786572782592,790575133716295752,2402014949229053382,4568917492115514954,812098034981260160,322503384713152256,3225362988648759680,1843327579441703376,5465362884100275392,26110110526905540,156676646445026220,1566926300498718600,2073430030315984080,2644706935594515280,1643637688047705560,1441160524600702276,748965402136764904,93952334653352596,1879238277003425240,610391860442101586,1968843049409156096,3049762780388285472,1002155999696426250,306643619131827504,1533374342846358240,1590755528032199620,2868599055194485848,1538094431894085828,1828042478668839552,1842281918211717632,696568800043898968,2753481201069936290,5575692099514356540,329644736147173392,1453538266786796808,700518529430450346,639633146728229888,3105737470950336280,1371683566689293728,494666097708003802,165540504654481260,2759289185474233000,4383119909768191410,3510572605882315488,8681829128719204968,3349623117445396032,3257731999640318088,4277090114701436080,450939158712225660,1185356105899258832,408220071311194336,1530980926980418680,1646637103579079040,495614291213441120,57691822115716170,1038558357071695980,522242524021021188,1521791118589207112,5238822329685858858,1868308533367530774,3113967192842193408,4669654366289866752,2288743351892336880,1799689945350727808,516841310091261948,742092696885326172,4992990747440545998,2571605733546994200,1627662262243994496,519666078388686760,870793727895758730,7519773216486431616,5097730602590492076,3025207109662140560,4839116612901400746,364903675869315186,405489672224164720,888855588647248768,863222071152862926,5478815111182784688,2035982599383411196,4719400208598690160,2386135623049870936,139727138216129344,4890945780141370880,968563508898108456,93311745958392126,6532484450333877420,1453384115622816804,1823985347614283152,2163614676822390064,1475675437077518544,2964514025865500112,22973843197672800,919046843656734000,1320391125652560976,1746925123099035740,1625933784396009084,998905547726177140,589277553503349360,2210014630222588800,4285281168781150968,6588882219451038752,2516838696326331832,3849169047813264792,1013387256418033504,427758180138476370,3086528191087226522,3283589009642267536,5251604664411407232,605451496794045014,142300720257238856,437580323585255396,1734254640980639712,1571976286133055104,8754554226663995454,4272694457224495120,5261581403192851584,3303134617779725460,1378647938663935128,3902900135147296608,3520087225637348976,1817126395021210136,826160927836936552,368304096135724672,7366826438039326720,980281890565290222,1226945079586011832,318519539504198988,372864207842928620,6712233826596861780,1639592778233376666,1056067901587006400,2397826968804478120,462518115075248162,6067703625284468772,6518293945358243008,2197584842706166032,4191114888635986476,5633674608753699968,248518618650576848,762765614786917008,3959777517784363184,2142244929424310250,1541390373316613596,2020352652912585456,2137107289583057376,3467648499070365260,83050887521089488,118656093533200080,789277207344304808,4919654638562085730,7474028075535175712,2619186128941675128,2846959207034516532,540267677675337040,90684216308961736,7255468670358330880,317625869880753476,4784239530737012112,193732042995954960,775006268925241920,7229960882850405264,612166293480015390,1635881869149842048,1777464200811539520,1164824028925593036,1738833736345771220,765781894053807176,3598933748303492740,777270424340279682,608247735928156072,936229639110841712,345948621383547312,2907384834452121612,5272216184400888408,7670338058954510352,1174010495237469056,1819725084302115740,1184660275374774002,4901304004416204784,276888091015007160,1107663793826285640,4029194570656439170,7135155724686346980,5872575595296404904,852015857860850074,3459461799954636168,4002880600018278600,181589754693962496,3026800208231381800,841350674309074164,4674640297972362800,407334286452740948,691157207441905932,1974933346683237360,8370687096517820256,2486514668442141288,2850302644136191530,1459823222726762980,339377210456791164,2464523099546138568,1037914352284752032,2422963266956153936,223750273249276760,1342636457466000480,992188289186038368,5887379053979112144,856912586909405668,4863745996588393536,216359888456598264,259367935267610598,4323232785162464800,3410591740049314080,5084143670024541864,4060875465501818048,96845542969348460,7748420728856964800,5769075167182923184,238307634419804338,781225499117855168,917165539588698848,1425302639186355818,258291635074932384,1722116892826686720,1909920025668308448,385332886869380996,929806725113129686,2272495038875231296,764983999839415416,3333005182444468944,3978185255414362650,2783753513509827920,8767601191958261328,763000760248396126,4520732300903297598,942267091338515712,5756847464597612032,1258366929031331364,908889173152069392,46510953477626128,581445134600201800,1315652118397546608,2584318544738800568,2344711683073680320,2083477016041657824,5711507950424491176,3700774170298117178,1457995388882619700,8260042573936776672,922966179714680790,846667041564615926,942234943842126816,3565230235440343040,797542972843166628,1647606294128558610,887076646109261244]
[2203142268,3223456496,2925487872,2095690564,4825412872,1055455015,3887089792,4920665301,1352661807,3135209595,346704118,8513087751,138924360,630887307,1775212893,1942963310,151956326,5752017026,665162252,1804487370,2142579276,3933193326,8546510124,1913924936,233803179,7441450443,567912798,6816170680,7043460528,2916387300,353599678,5586055224,1347662057,451236360,660278049,4266230311,2648786602,3021156436,7143614408,2451631648,2980652300,375737892,3151294895,5675535594,3965424001,1311285864,3918859930,961917172,615991551,638669101,2487954672,2574917976,1840791855,235199926,2362780638,276894890,1754074252,868769678,2077613364,164793686,687942815,5010869064,568464890,3757494489,5249235510,1393907420,2396741916,460029148,1816768677,4510640064,2582198280,874413584,631647900,562801485,5059362176,942774146,432528474,1137386704,216817100,1643399524,7903145608,198951436,1128892460,1689770770,4059130195,7979899960,105727527,939871380,3211488248,2352430089,6729392740,1073355556,3134487040,63761808,511813274,2247612315,2729971800,421562335,184495249,1688077876,4324987770,4207838988,2442353784,4950570444,855479500,491806884,277293895,5742960966,1964366145,2495678775,458824624,1121717036,1134565845,508882010,1570731896,50760773,1617437525,514510850,58754338,866893148,3233901741,5404332464,2735222949,3495330680,4759356155,1319477796,4873077918,2982219849,1467334938,5642459244,282711150,2574725284,2013778280,4835403590,2153826241,2334051112,3701036430,198967938,356995575,2835993189,4358875410,4217690015,56678977,425720910,6552990787,1995692839,1304016315,3075381400,2969889400,3611065144,66891480,115767595,945291159,373014880,2809030664,3658912600,1152776760,470432481,2980819630,1629498872,3228754445,94186597,3664819635,2758394745,1445770074,1552061214,1547285880,2694140127,3758234800,934426038,2646444948,926705734,2890318218,4224730195,2085495510,3114912414,1147203762,654904189,463830976,1914535170,3115496349,2342635461,3423658475,3911366108,1737590388,2610016456,2390590752,3051279768,4682562006,3333567712,1713396438,8052017490,3231802768,34253036,2764404498,841195089,1740256896,494045820,6463592632,6931453545,698190712,73483719,3968537664,1616978679,1789247418,698182200,6010439876,4279495869,8881569054,103573452,2019144884,960716196,2865123100,970619471,259811500,3421792685,200362856,3246118032,228665096,2575432413,150438792,2186799012,8512132995,1697469852,338720152,2833122383,1684082094,1663529408,735975900,3843669068,6064934162,665692376,3067800743,1472963868,1001981169,952163685,949928754,755438812,270160016,895147253,1800588496,7148417490,914895721,1956432188,804076374,965273970,799129256,2999556903,941655794,5884209846,5632656064,1297480926,3801218976,1154972934,1482990264,73395305,105647004,885028665,3980573350,532070934,2969872016,4425425872,5925372378,4320642365,1464523136,5822095320,61558980,3593961540,1539778896,5808650862,3313412500,1929503728,752876260,45104002,720779334,7503208254,5058402180,217953666,1088910712,159407226,6996284226,2929810800,2575567896,7214924840,4180089344,318427094,7528791591,773480015,3274182560,2510282499,529680557,4852112400,616754340,129285758,454589492,3869819880,530685160,2726837958,4724904320,3193404928,3935962380,382059260,1524164901,780068622,1654269306,209121400,319538366,1435974120,2475547416,1015285900,831226291,2196067690,2081920184,3160703070,1069240272,84967912,1448675568,3276133248,1569250208,343774956,5633194704,1880493100,270541374,668917321,3982344864,1065758538,4012628585,909906574,1323627240,808518270,4602702438,1492962410,6967829408,4153333107,823087800,2885637867,376879959,375473105,342808430,6013248320,3551084748,1351465448,1258460752,1688410329,4849685395,5258945562,125551160,1469011444,107659536,1483511940,3870377315,282267320,160198873,13455219,2296212086,1006203384,4533379002,5603103216,4051762032,4704144785,560069304,209188473,1457174502,839562254,683919035,784884129,433475775,436151107,643740930,518279601,3904612192,5096249963,19937499,348788898,697248385,6151004880,2467950960,5099068926,3555331000,1775106702,1842317680,617230048,551358918,2057279112,3355172976,3424693870,5772733965,3181407295,1283873232,3316086664,976181922,1292642487,2027355450,2356487768,612524634,139470888,965138588,7856096408,1436046867,495608975,1849491300,2333173452,3857178420,7992096168,337313350,1094700652,2707534551,6487566976,185830020,844797935,1377669388,6137230316,2268295630,2233259019,95483690,355051824,3870700872,398868768,4096803128,78547305,689495103,3520088676,403756544,4978500246,78594980,211632220,460766596,3940161224,248562872,1943400524,3682225071,784154389,110571165,431031803,3037976244,1696728570,2818786863,750172635,1286746518,4374432804,5631264045,537540573,2217543129,8945689761,1306764081,3890420730,2868650289,3166210054,1420407748,3017150024,896979881,4351697520,2313922506,4847116422,5047480200,815041820,1655912156,5386592154,1764807854,514888360,546409890,698679074,555505280,328311788,1433281860,1092694284,291415115,1994436303,3262818958,1115396652,617589168,698658774,1993824717,239029971,3170097568,4575566412,2281662536,4305928214,4023368142,3203735952,1551255579,530046708,1512903000,1205735562,7947620576,642830225,2736500760,5894387100,3078397430,957247209,501494535,7214975136,4429444668,3584987052,354755880,1004829161,1706675078,708551958,3129286096,2778855846,316089697,3564054032,738522040,3379893828,1842097733,2212494465,85513281,3966632485,681069207,142536421,2044197656,2043579114,567454865,6251217000,6360704896,6162021726,271311768,5886947187,74438105,2666054205,3296804700,4355667515,1251531249,4711709688,3199915411,1098663060,319846738,1966980380,1046316717,3168198075,885028102,1676334879,6381740728,3654472480,2318265894,3336561112,2974956955,1963824003,3407141884,855520930,623050268,5169439836,3733180540,1222912293,1133864140,2477094165,5734244448,3079506560,651906160,657349020,393028413,1160403222,7229222424,3236263765,3545746310,886028076,3541112155,2258887212,356649588,1170622875,3721995945,1542308140,774373604,882362545,1838023880,746751212,1892837516,385151151,2372746864,2028660035,6728728194,2753304740,331715230,666107185,3246471294,8771416272,981318316,730784305,1368923205,5295983440,6797919087,3687370371,102618144,784665858,579837954,1820880909,4966955025,1615312284,7817831379,4376442112,3198160556,684920076,2864064905,3285554925,906937862,1967130352,719494132,4583575956,2156487784,2017190052,5340347840,860986811,642178674,2415661812,6641466948,793521382,136885462,7575317808,784921779,4884359375,1244244546,5995943848,6934807068,399372800,2315450808,441232636,1840413186,1991019936,3897489260,3749561056,2759899683,6061279063,1405569327,2036465196,2531851288,2190827607,2808939008,105225013,4820806878,4074567984,312032831,3708658670,1934325390,2858500704,1605796381,1207656330,537920199,851375820,3812594630,2750966526,897976110,4807639150,904698268,713127306,338662628,244567901,1395224712,159833219,414211720,4099021935,2640671046,2004765351,1104389462,4759207845,2113004964,419486792,1488995460,5166632368,2304012495,2861828724,3238996320,3404716104,451170475,1852903590,1085120568,3891542824,1101813215,1457198088,3311399335,749806786,4083287013,75478544,3612517352,384763539,1433679195,3285659000,6339047013,4730209705,1787229844,822398651,455541335,3728992446,5187155070,953142174,5430839928,526806316,611782992,1493354460,1512903460,602420168,882571074,2267062917,392803966,6791060979,2440849131,3137713630,3659435796,301749692,1784825820,552812124,4698446040,314769612,385654520,133100439,2383251306,5700979539,3877672326,3747611228,59369499,1222636272,4853585020,3849075246,2205958224,2828771244,353205275,938841319,6948197271,4513589541,2808475419,2379722994,2137915443,5907706336,3771338425,617075458,1263373008,1075261452,527316120,2971157322,787843182,184482203,968255720,7314594208,1751861745,3306160668,21094944,187409415,4372400196,1431454934,2229131823,2495838678,607628460,1669998546,1139008584,3318761672,160087584,2790372336,1954191640,844420620,1461017971,1077986380,3205158048,421997400,3485817755,111590776,5493197944,3277290978,2936515744,3560932182,3521257607,3180677376,1970166740,2747876796,2054760896,7509178704,2728733292,1564071816,730533928,1179060816,3105439308,157063865,415150129,7240800933,5721404808,6924850776,3842335392,7003191000,5067122690,7007986647,2917867815,3350146212,4792614768,3617122976,2043114148,2848958268,3741865020,2076249777,37306528,1305410940,5589951220,2107082104,2131896312,355566472,207162613,4690156152,2138629504,2853599024,54706505,7170634800,3032274368,5169951927,2597191629,4898954072,1924257746,3836435603,1729836320,1957572102,5699515544,3298911075,794290823,2416454946,588261625,1772444884,4268174134,60291952,485427954,184075464,4836811745,1147831038,439932059,703633357,909694737,2908853452,7902811089,1106560404,255099634,1387025372,3270476640,1524762300,735951712,4089709590,560746410,173087277,454031248,6653304568,2304533560,7527416004,5289154512,3936431648,191479167,5389633640,5008535160,3447509303,7929011480,1443222124,2783757380,511111741,3055314852,2249588964,3364150864,4891433286,856323722,1729681773,39472572,6762263158,8010372825,2598932037,1005252624,3812579920,2335339280,2150191904,1513127224,394841125,274779688,2334033884,610079264,379721589,2009290240,2487898420,2892061428,5540462346,2585437868,3391000492,3229619877,1756247880,1402692436,4034978525,2045681981,2937805365,765508014,4072194830,3418534945,2201794548,1359656040,8599532472,1286340400,1906307463,1113972648,3255538312,191340248,4235511807,688791360,4892125496,988161956,3685662211,1027546914,4527593235,3499579016,443089464,41707326,2428489068,4229643792,480005226,4883309190,1507761034,4402306370,563416452,1523165187,3424477959,676240659,3934997648,2558268,1970038078,1178127782,59649248,233385752,6510863037,3264015104,400877061,553642428,2459103669,1854129675,4059663630,376221558,1995219574,966907625,3992367725,6427180440,3785905310,5410619624,2583280525,3463461981,91334621,1139301810,1495413666,7243967367,1649128416,4195288071,2632056005,893539914,1923815418,1136116971,1659803004,1621392844,1308659816,2963862176,3889407904,2490877140,480128091,473283760,1718910630,7146297112,368639064,1160912864,4107040728,647612390,1481739756,5893683264,53080252,5881730183,929249728,4379302735,972965185,7146159255,7116347376,933300747,7017515991,4093890703,6930948096,3025370952,5111667765,243204725,2194003680,3889633720,178063304,1633775760,1078920290,5026889931,1083764916,2093446785,2791879512,3289035421,3358212868,252555165,4987654848,175263672,4369138030,1123827424,4054132480,360630596,2316130857,7756453251,360184812,3433979115,3538124965,894364821,7511848152,218114304,1396591135,73559432,3175434195,123163464,2145504792,1382408420,2473371648,1285182400,1932822891,1016373126,4851599283,4662962145,2683715275,6713350668,2220174411,5829535332,5711460146,1909455543,569840490,7975414080,4339657794,556770474,1333421502,1710756723,3222033264,2354060008,1973566308,1353169732,237546570,5677134864,651930909,2249943440,2126210412,4242946072,2340483565,1921015344,2826754521,357994926,11856012,3867769224,320060538,1384140394,1825556684,1079683720,1250823760,3913043958,1747068502,1494162719,4202072208,1903782735,1454145486,455311032,3794950652,873409923,1262529748,5016668481,1914228628,504753662,1904464809,5420261259,2454229640,1491112620,5977183338,1067047317,6428767044,7796582919,874033199,1208756396,173116496,2748113356,1226398842,5262999057,940384782,4592269486,5028271544,1080673744,2714986356,363186217,1626548798,126621252,1578880920,758629084,507083703,3362726718,4672459865,1283377380,893794962,3413123464,4824259616,2441503356,149284311,338603220,6417548973,106242733,4817523240,1730922990,3818842896,5626177524,660832560,8483418378,214664850,7505558055,445801886,7742507004,53054064,743918114,5945244258,472791846,2543766507,384435414,3503462895,646448686,4096727796,4755837978,6892222635,784895626,4227439158,5419564605,1916028392,2667898416,303512176,3252539080,6720007735,668633283,299555604,804805303,4305435856,1868686830,3117991312,1326361734,1886549757,4969741473,382468596,1933217016,605944259,2203820365,1732216704,3090319815,396673134,1593793803,24058464,666321156,2662402635,497576739,1863162245,2726822730,451801836,2840441600,3891934100,2548744698,1726584375,1443146361,2268617334,497797260,7938196984,3288096936,7565676705,1935912602,6850604390,2075336368,553152945,4012150122,1044278452,1267877106,2923198320,827703900,4690974715,3533927915,25816651,5851997010,4830723849,237641466,506010640,2642568740,2361695724,2663175795,5320940590,1950607448,2724238032,4134396940,386332356,5562065889,1796942964,1196907120,1377756288,7855132448,7042356,506824413,4490737782,5067176096,1567133672,1865817933,2829765705,929360889,142624138,840514188,1150184375,4430654820,4314078685,427427136,3196932344,1631276536,2586859863,2065233678,114239966,2702544596,819470016,3650556069,5109510322,1528818027,300102725,6576720024,1549591056,8481456162,1444158325,1635491442,106639936,59817134,6603776937,5558125860,2515033956,1196235912,383505654,34692973,665493743,908066012,187645716,2158995552,2822438106,1456818336,531435843,346491150,1330690492,6414980089,7501360257,7557578680,4957996356,762206257,1170973785,161014427,7079409272,3346092102,5943552702,690228234,865500552,608972082,433169982,2998641102,1170019400,1640611810,1963534192,1915414908,87536880,7224247224,3842485992,2858943577,4748064651,5066037477,3603521970,691930982,8429349429,1095973375,1463005683,7306332696,7691312124,1812382590,749352512,2846741220,1243242924,5290543098,3517421558,1890685803,3622999888,2346983901,1113052314,3006010308,545779550,111822011,1980468844,55278308,2780904549,777669365,4622533746,372205248,969667076,268881750,53130773,5608422696,1861287940,4846181148,1530217593,762386275,851704084,287038318,1720795990,2645526345,2527098352,5732755512,694629153,334994760,2739506616,5076464496,7285751937,6892231864,1755815710,5076362648,2947440705,2444089104,1392505770,1810555710,1484429140,235778471,1364155822,696138319,6942943028,464466490,295347150,2436857504,8795430585,408750335,2982114702,3095862788,527561512,1070021294,2322368972,3859504530,758536793,1661252940,540124062,7793391051,5941057087,2996376788,960058839,3542579694,5169708368,1437770274,137209612,5195922016,662287280,365715056,71080152,665870856,2497818897,1914258182,2631982185,3734037395,1850148174,84308224,2223033123,4132822944,1258823484,2657464416,1300259136,912205790,96896574,1049808819,1922273682,2803329823,5086182724,4086535626,1172003964,869427986,1914621723,54109030,1256119475,2283275575,2658439479,467790575,5685645744,5139964014,5971177980,1310804908,1853849645,601345038,1573506288,1974199578,1138955166,5193721344,948649665,513290691,2619168120,4711394982,1037972146,1798913492,650741598,3833329266,387243887,2576024795,3214792693,2298634644,2001693753,2169190767,5787693744,2634148255,3842685960,569243212,3108641924,1822887402,4525413021,341459469,448432350,809660700,3080861505,787960074,1412628340,2506408092,2012598450,1039111888,1356866988,5886958680,4802127912,1690704184,1922525428,503909036,35195955,4310356245,3085292664,1002698578,493740868,986157294,6833076635,209004650,3344061602,1271427344,140767718,194878486,440818770,3601925976,1322825456,4876056426,85605010,3553780167,1381823888,7534536921,3011594696,1820071456,381392053,1924769600,4247862255,1193288550,6326602422,3461245248,8951686,1204117842,1826369531,6142037552,864616152,641866364,1680504722,625636617,2726962533,121265520,5283361332,1713754400,410349449,1861164298,5051681024,3120760312,951429680,3935922193,1481894680,3657075660,498187932,2145358388,1232597583,656335509,5166316038,1932905464,5062171770,1081170370,5923013920,1400748865,1064131774,1009936749,1554922070,947226916,6391498472,1529939582,2910562407,2707414072,5662740706,2183011195,1218247815,934376534,2871527352,6537133665,2766988308,4371726880,5475920748,2291075392,1104832278,1392825678,4985463762,5889206995,3145095364,142980391,2803032156,1155211378,4655935920,1808448981,4998469320,1048520757,4322950212,1723290260,2306693996,255567676,5880032680,919845884,5044293568,5451112408,1766535648,1881673648,624120293,4090685160,1149898869,5620443220,276507600,238191163,2338601298,178029752,1522993316,2736098250,1374397276,2565718542,4373454095,149062161,7830735561,762135896,7373075696,1340739982,4460161715,5474605857,249858520,1731115196,1905269730,1783560782,414821914,3526806808,484209504,2068660316,2356786842,1120561010,6445506492,1231880004,2229808734,3434646648,1182732930,240888272,133460076,2854071759,7151427,1455208396,2171257760,559712905,863370319,1255137565,344812446,1305541968,3104896730,162050303,458658641,3079991244,6951385520,1817166666,8926210377,5980795058,2341684797,4033216452,6764543901,1686145899,368005103,2988664100,24052540,6066637129,8857748889,583150315,636699249,5741773470,4357746495,2931693324,206397700,5633586852,39473400,2413357872,135374520,1642003200,3304463190,2801189688,687735358,1662784200,1580738648,1868749251,1010380113,4108132735,1841081670,3524436852,4240505682,685880820,184300725,2983608252,968493810,2393458795,2214107217,4553271426,1173907254,136205760,1963834104,2500092472,471990976,6982690435,3567709288,1648907043,444859839,3127912296,261795390,4463149030,4633725123,4953324627,973605044,109265970,4798568540,1580317044,303616909,913441735,1568930642,7050071493,2961691680,298724381,2759338820,3580752189,2878436288,1498336461,567720251,1387294720,1132635003,2893377380,80057592,495981507,1816362774,3746027236,271109526,4820754460,3921020586,2895177270,4999671252,974636631,993722439,4882953000,1156633070,1996509678,265486832,7313434542,468171136,4099665696,4008575290,2638968775,1487727076,5229882156,2923899216,3575384370,390573245,72642809,6902343427,929382575,2192803380,874360033,90964152,4598527072,2754746823,742428295,1269620178,374447720,1904430400,383635570,883532366,6624329920,1321901090,7066159965,3558459807,2352901008,1581180820,3102829177,622869695,2289327005,2171186056,1505783583,2729700470,456753756,3250207616,5857028672,918068403,2118986073,3918004392,707935096,56503190,5420124486,735143616,387153818,6040391651,4823876040,6593971056,309129390,3915934148,4140121938,5116295940,1857387371,2431427085,2449522952,2791764456,5617258230,7500184362,3388749904,387872845,1010555715,3429045244,728834422,3465129748,2511861116,357290322,4307052420,1896152068,2815846254,1373382822,241919196,6816749967,850918985,2719179864,1115880128,98329577,4068711576,1761588768,690457239,3317098141,5993257434,1030834864,881470278,5352236096,353216245,5189691346,77696864,931418900,146699233,2214925200,4572018437,3605563820,2644497252,46262720,7540380840,2120448798,209413353,1578187012,2506333620,3387987150,563981811,2885020820,782678016,5225842098,2742516360,88525428,1519802772,1343345339,5608642550,243493365,4007826072,2296584755,905264245,97973960,1571138424,3989593056,1419526974,456574976,3384720740,664555740,1705512442,2911408533,5916789459,718785334,1292248782,176468103,421664414,342917784,1293145805,2560857600,853146477,4444852446,1667373696,1711606296,2469168424,2817807628,443232819,1671767500,6624968949,1283467030,4118315145,143336803,2720708118,5222657776,273875416,6551058010,1521872572,877562832,2691641328,648606146,6059174408,88062852,230250536,3297715632,236467854,1515886736,544359672,3984421158,618046275,5838029487,3483548244,760876992,6952800918,984609088,5365346334,689987120,2087877070,1340908944,678612480,651616325,1636550650,2991437721,2960380200,1561986515,1222698560,1436122212,7399664,3450827538,1984984656,6064516143,5603791137,2272824120,1866986084,5016513411,747549057,382652930,5115058164,1859681214,492525672,406786401,4841494445,3281726709,2272373004,1143080135,3972470650,554818252,296111298,3210717556,3503199125,233425462,1563266067,3946064640,2357350590,175390456,500280326,1285678330,528273672,4542982392,685849962,7466141124,7265619315,333996196,4933918110,981360601,1058818024,7184943792,5242087302,806349240,183957810,1864241454,4260522618,5328561069,1098736276,899485755,756735722,8684636022,1242614168,3662284552,2638634478,510761483,5776608464,1450273182,3223667000,777603840,14325980,571350984,1863268182,1042058216,2812317108,5284841148,3606560444,537376276,6040320048,2700437424,279362529,4514765248,8671126464,2128545075,410158296,7149629344,3695055108,2716961424,1917974844,826304112,2749270475,759520904,3643464460,5116784454,2762540760,1911360864,23798486,2749089843,1216884552,4260653898,1864856850,1631979780,4675718442,5892081748,6055529984,5107748856,4958322696,1003884572,302702696,441214790,7357706112,422852880,558623706,8762426010,5559258177,5664400592,2029620852,1071746736,1380401136,870998688,6157211736,6389280224,1198723485,4328456685,2240003049,1067239314,4969709630,3242128197,4361494866,7372947272,448719984,262042296,1603116000,1517251865,748997760,721057926,1347399774,8413520175,135058088,2233086264,766900367,4315097822,8396960,5981517744,3939974344,669457797,3583697929,4465417572,5234315002,702124824,1622702970,454967485,7177604136,7647188517,255148504,545226783,6007620064,691615902,5492463998,2887851372,4750584460,1851442917,7408033296,2870545620,498021740,1518061744,1016199520,246366384,4537849104,1556154484,3744116208,5285027988,1485516512,5691147777,7947575775,1897709834,3773202252,42821280,615876841,1693127401,1889958301,4639972055,1019755632,172594428,6081966919,6524294518,5501619248,4453456952,1733150688,4927130580,118432248,1839648722,547879580,569692311,1773908498,2467622100,5488255782,4834915015,1882938186,1695908565,2402913632,4002193404,2073020718,541880360,3036452825,733430345,4144081500,344228680,1171813530,579605580,1615643445,4743651342,7239580960,3461461410,6641074576,3914948250,3624950060,1121869050,4214917623,327038734,1461722215,1624625940,2368131708,3485977655,6209245206,3724985808,1399653750,1570252846,418293375,3728462952,1264099512,1214318694,4922717562,748389246,482265568,689080598,1261135080,899670750,83034765,327983805,605323677,5799692898,347897060,801941476,4326927976,1971166926,4675141674,2108672964,588138858,3203677080,2100171996,5055787240,2589119550,1052484188,1362360768,6630014727,3564923245,751845766,1888507890,7316093272,1129492626,929424004,5774854547,571456024,482631501,2174775918,3518991545,26367501,4843547112,5120784347,3304187088,1772308280,593891734,4438107595,1554806735,1488054012,841750397,745772646,3295579464,3195072873,3332514064,5566545726,1674287655,3422387610,784455792,1795311388,5424273480,1453483854,1234780671,1419997689,1799114632,5295742361,3436160992,6038912341,1188709744,681720261,1262254178,335593231,5609061227,4002053535,2628917815,952933185,6592400353,1009443125,7521868504,6636602088,1001754668,174801115,1636768557,118423812,1180262733,5388343794,2239213767,751476392,71992020,2595886364,4636359624,5178898664,1606978008,306374090,1976749164,4578608792,1305146754,6116783056,212236990,3538238860,4479980550,499670765,1143529624,3482687808,3558368492,2031273881,6923436736,1161520614,3663633515,4549179712,748039262,170645367,1184857002,5990686723,3471032535,1993016110,447695658,2393843208,2110344276,1388811688,537437222,4667091416,6064899393,4051634310,182450961,46854639,55344795,1065173160,6989344712,111919851,299652337,629994656,1302042282,1844867945,2806647207,4338011280,709699810,787896092,6936864242,763937900,338610340,1725969848,6330844320,3308451398,1001576760,3808708050,774348060,69786912,3656732805,2507393976,32363205,5263295177,2418998872,1794016416,1916215672,4604081395,4925332305,213854535,577840410,646999122,754204711,3315385656,3326619384,723571835,1562762090,22613200,4054473330,5909880537,3594452454,8280458469,1872121546,6839649208,528540670,385337610,564727403,164077128,1087000596,1152803367,808505220,1959213400,694199645,5880334779,2012529292,6098370859,538875507,5700636816,1258517846,5904409998,2258283333,5955738993,695325708,1347514244,1901003643,244640190,331062330,3261066557,1747955739,7756628121,3059753652,1841761722,5204613636,676702690,2397346624,3678109740,4246562488,1938750436,22363320,933532175,528300788,877316729,1438070646,5277289041,2278797409,1889087176,1415498571,286890292,4349198205,2184032420,71431147,2637890165,2100110655,2700070751,638709397,1849022442,1433483264,2021549889,2660364430,243016085,4591916970,1977844170,1627925760,495207016,1972692414,487348794,476954198,3394712515,3293179896,2337799851,2612049669,1169780904,2465500116,848483453,1335455667,849227533,5419716472,1820018565,1767611420,8479305279,466767304,5455606422,297898747,2834009502,6440524371,2389767246,2800727640,980554020,5378607102,632728956,967106508,2579565611,2769293859,3579388407,4293609376,5361313405,125514150,8996330970,2381846076,4422227824,387054531,4966175210,5164684904,8730985932,95450689,3821234076,1759779796,578836494,35368665,6921530496,8087720958,200364460,4051930824,200027990,896771941,180962622,7698589425,422137132,1057812812,1941196701,1254352002,6573077451,1961037345,4369417060,1415558920,4537137924,5431504707,5474668689,4847347647,503178100,3283022048,2795774793,1269232332,123769428,4649930775,81114608,35899727,4519678968,2852499464,1444249288,1378528056,2037654328,734837295,6042983880,6636237669,4409341728,627962056,601825480,703731621,2308516695,143112834,1007892810,1722464350,224570616,238899852,78512553,1627881006,774472660,1787580498,2687216202,888302520,3064667683,6918360516,2814348756,4605392295,3795017457,48213802,281400848,1786317536,4081220290,3924841805,3104630864,620464112,4843683135,201060732,1177281500,4159822536,777748647,1482745098,6100801574,6433139672,5359353840,1681099146,2547023595,1820409440,263584236,232395675,1444616600,5582513205,927173194,7096799120,2628259004,5832290718,4562952860,2808561132,546507177,512325207,1299123413,346604348,516089530,307733082,4604599380,2224928775,1650414216,3980080167,2611094080,1625348325,8477302401,2458256944,6464849552,3451191030,1412459158,428052140,202731348,162225608,1721607156,3891532456,4182310350,1308876408,2806328960,2234804488,70040212,3041386947,1642043650,5581229010,2874121010,5259351377,396188667,2589713025,3535224070,1741546593,2807733243,567861705,7100152434,1986531900,4534548192,3293434263,828066534,287290080,7898104188,4563573168,2134369460,483909571,2014170712,2724006895,2567524600,562256254,3963985659,420549142,3631301200,4210953633,1211477040,7377838456,1575777560,3770779,2926874328,4406027820,1969420450,1760463753,1151880882,273107099,1650742360,1624286784,3275531452,2153025686,461111086,2319829030,5990574024,2289291009,758903055,4064085495,4203611808,1649541328,8323864974,6101671086,65486889,2505536240,1207844016,1664632464,1137638960,3267368973,6906951999,1293071718,1159490214,2891781942,1173051782,3876107823,2596295472,1889692546,1684016800,2399392746,2420410490,194169060,928495430,1158387537,1428542116,3455478312,1554385415,5751351040,1465667445,7961933520,984855116,4237150841,5145103251,4057859205,2672509348,179444153,4697508280,594089945,512099608,1079543944,3298826112,1127075992,3716011326,411614295,3046814175,5161738578,3657455543,299129960,4948072836,4874158962,5607767970,1647463808,5037220698,886675338,898439921,149228704,1863130040,882390015,3969866008,4132544731,3718215720,6476614809,873123640,7032680964,1563216060,964673120,7479302553,3104043488,3952938060,1991009839,2600680592,993014267,602490312,1289435120,3585048096,1893388698,5294882495,2143978268,1800126492,292722267,728364988,1816579539,353170863,4848680748,1503409888,2781109098,1080045568,1548490056,4259587080,1429321028,6019909128,1856809298,801984558,314539950,2019641768,1390938495,1201022718,559391388,904175228,339508573,4521458851,4390683626,5689227906,5401604172,203493795,997949897,831110189,3109073156,620296572,462548588,337304002,515040840,752380762,2946707262,6988799256,5911016152,695963613,3882782412,328713532,2220517200,101524347,3687854220,516976379,749246874,8535762180,2688811656,983761308,826864656,1729013111,3654663365,4626784072,5273184826,2919102813,117263887,2271304600,6509610480,107052188,420911438,1322960990,940281504,3129446726,1303625664,5029414191,426608901,722136558,4646911491,737441147,349523938,5364677344,4328584528,3034648782,5651850050,642235576,957167611,2748819225,2191885625,5045425182,768761046,5439583521,1814854385,1827225600,502099155,203718318,3695511834,5332942916,151802147,500109762,772352476,5905060917,3162946916,1571581436,798114636,1769608358,4252798011,2936778165,4248840488,565476289,3166358244,392183947,2028784206,1266902700,1978512536,8619191613,3367600808,2694703784,2968303373,1766788974,1401228306,2614406640,4066136778,1248373764,1872395140,618412168,7526896812,235177699,363805626,314794424,137074491,1503574686,41503086,6305132274,819583468,2239928082,5731456110,341782518,2482133754,1950891402,594483968,2968660932,1771735276,1865353971,320084428,429358456,3197716820,2439031975,8733107637,1511221870,4034040304,1121179404,2587570118,3576774522,2682542406,356053772,893641348,1911167300,1109033300,737697520,1113092412,4090000976,5047285117,7327720350,6761758144,1996375164,3275359384,147753935,516404827,1554323575,3263810970,5930225288,572225382,4219079080,7556060,163738548,924791958,265135471,2388018669,1739658072,389178126,1448868056,3790398690,237318221,3408821090,4731442152,1869222798,1473224199,468173310,3482433618,2510559537,1029482768,504964703,113328060,5617067265,472782324,2450346856,1906741080,870130424,5035709266,2708868384,2573956852,2414249580,1181683484,423118319,621004058,5543667934,361940094,2956072144,2217297172,2016288720,5190998598,2688862929,8267917050,6525742311,333238318,2695988241,1902726980,379260772,931893395,2350069351,1294731166,5164784696,232209972,279968796,1168730760,67547702,1352697066,1881548343,1817410424,110227799,2116217580,533060395,664044264,205134325,7486029648,5632706292,1571484236,6049289052,3048348888,1475134650,2911533384,1520284260,5589383814,798345249,2323958796,2305737753,123709540,1933586370,17846986,2018803314,46803666,1028463684,1910112395,951214302,3234827316,3614303072,1950954752,1388001672,2053655200,4688683206,678839712,4088818920,2894017556,927923017,3949715370,1436227984,1533359034,6715634886,672979640,296021863,2116046552,55250469,2186604162,6337077327,7397938206,2159055100,3307856265,455580996,6698189728,6464249708,2530580096,3655082370,2904054880,3200950424,484491824,732305960,919952054,273170536,8214601392,93245462,3087902456,3386552488,4697993682,1473938760,2713129915,2219870548,1221908192,3312963248,3087927710,1521790212,5838342678,4725506304,2244137095,1165507365,953931855,1331996078,309196770,4881891889,1411618026,2165221422,788955996,5479820064,1360437152,7577427936,139377991,2517345740,3554361224,85336884,1989950270,148406635,2831540667,82130427,3902355296,2907000546,3879700209,7846045929,1174776344,3824743848,262663839,4138645302,1098853758,2004196726,4988232312,907845378,4119555600,449730770,536441637,571044277,2370177290,798218755,1087778106,714379318,4884323245,794883509,2777554712,968232162,535196160,1966769942,5577035485,7251283216,302866734,393196062,74400768,580690038,3194396732,2784274785,2926390600,3823211382,1824292750,675843694,3162618528,1780325559,4518664591,6884130798,3291723744,179257820,3402007904,890015826,115872243,929807220,4612920615,592251806,511217417,990899154,431164683,2690924488,1763655936,3254821969,229380252,3899983521,63519545,856395652,4148375224,514343804,3725886460,6793890588,1244015176,2821978812,6098773240,1344517214,645954004,3410354,690646033,3188641565,785322134,1747820492,212563542,3794448600,1060579862,5863516836,6180252967,8846092926,1123911894,2759745345,121187364,2390936889,2310602815,940105887,1383330016,2579756576,5232320704,905060820,3793347240,1217296761,2600981805,969015150,2600079564,2933347257,1205803184,523310960,2736797884,2075067198,6758319904,6268957552,1276192824,3045408906,8610024816,2381783200,786523570,517151037,583148688,2286012348,332555728,241328940,1144030556,3770198664,7334384640,1181840805,1262099320,4488439192,400151563,2636946308,1688109618,3051881238,1472417028,559912008,40830981,1862431404,264412447,3015451995,3288113332,3420586575,282784293,2459735856,354893165,4903921467,6126686384,37982921,1102633056,1892975628,471376837,2122368204,6513729467,1821437824,10658103,4479005083,474181300,5287346320,3693473440,56224112,6306164487,1023631586,8204260248,3066820729,3781648170,2406193573,3225544776,2932761986,4896555750,1332998790,3792405795,637090197,1838119456,5295086370,2196802578,2762689945,3429719304,650433132,3638997608,5920387548,1816163488,1368045828,1702433285,1914572982,1404956016,1031324008,1765594944,143522336,877664392,1822376661,1879896200,895785384,6986626479,7881669873,808429131,2697703896,6053647376,18313542,2044754835,2221694484,473831325,775031610,3826973448,1232280022,2362716978,7931433303,1068564771,2877482841,1722801531,83867438,431447754,3040862742,419189328,3081635135,2952927783,940444070,1539935670,1173871848,1673012517,1376938900,1477600994,49036359,869218519,2434148766,1898366029,2881547210,584920222,2102337980,994385030,888213414,1387290780,2106864225,5856507870,2336443780,859385091,6020138718,1699213120,6554257504,36948331,676958916,2999492832,2022645560,172666648,40454395,2812257928,5014741656,1406735920,1189969600,3947435534,2318154000,2117039946,2902642275,3523848,1104999879,1300070856,2063744352,2974126602,5758980066,4915278160,908581901,3025986525,421566966,86595552,1232496252,5647652514,2058808824,472117989,475718274,577861775,3973272165,6515662068,1840427901,5720597696,2110251066,5280666996,723097233,1220061850,160725159,1803232956,4443290552,5712272376,5428593468,3531890920,3946664388,4924562195,1743553368,872012670,3069016450,735881172,1935979626,2678362146,229511778,5455062192,7297758063,2093836488,1095025130,1388529366,1451543913,1280926400,4552278878,353773925,7257821688,946224748,5408724213,1065272592,8416524915,221191456,124777348,92585410,919591314,393292892,282729260,100172215,2287760164,5035464665,4291568048,1933459720,3737384065,3003052924,3512646836,2284799727,1370781774,6370362448,1028681688,2181381024,2766995322,3652542148,4889403234,467165300,479255286,1866318741,3282529800,3535115620,627357482,744434676,599740328,2995193299,2447992045,319978148,538442326,16596680,1189324164,2240827011,1154312430,117240528,3726271535,4385509248,3479696892,6086510227,734835447,494748930,289400589,169870778,2810789590,1803416356,3806389728,5396991090,880399761,614887864,1663941123,1687105390,2388707289,147490006,236343225,412532410,2719217376,93435363,93449842,2107081350,3867565177,201857667,2916732204,1440747210,4847774946,2927022264,1446730944,6772038248,1757531695,3119752413,2354874348,2801646190,839104564,3608038260,1033424105,3703748342,5441798632,7872750080,602052017,1358246036,4234042242,1774523435,3213163008,5963448954,2919457431,2775905304,7712748576,2774865910,1536261868,3969125622,885745687,1243886738,155248932,1703920944,331907250,1697853141,1971922284,1666766642,967120853,2642270155,1376454858,649679262,3209780055,2791132614,99734841,1611468306,6500909565,1739634030,8151826023,1563819528,1804061074,6657320992,2583068392,2532049844,6324709232,3464039789,450455803,2488353445,1094740280,1796442179,3695947752,3539036730,227378364,2518972,373497550,229250834,162894522,1207530882,543404358,5819285832,715185794,884737206,605913775,728554196,1806732555,1531173366,2682668610,1303058742,347371256,2579590874,1512272848,1736152803,3252843880,3271093263,704287444,1582645164,7507971656,326082794,995739360,45330872,4217412378,1490729547,6711721233,1660149890,1071478024,418336986,3501847713,1109035600,5786827650,2798887880,2214810268,826644744,1550381886,1821764046,703937528,2672665434,3065854351,2526453096,1073440275,143079940,5924753520,5134396968,5176066588,5288651970,937044284,5881005279,2450781786,3604772864,2142554180,5903293232,481592344,1252114456,732959607,4785191904,5722098312,1732790142,68920968,1184202876,2053457756,3783261528,6384445560,818246436,3498186140,3682585395,1146345468,3328879550,2740605704,4783100310,627991929,1519972072,85123791,2935415148,3328287976,932843530,275507462,967820849,1400833545,4543135497,522341606,1151924394,5592840988,5093106032,2321996934,1113131745,1272448528,7489630287,4238778320,1724412782,1770937072,516531587,1908254336,1271138868,647298762,4057315386,4392757928,8213108004,1053837230,5313795032,5995257342,4030829733,3217422705,4546892105,6144160896,4724436776,3516089720,5531508664,7895586920,957358160,1129292490,2130935995,2679420604,1096583196,24282380,2164437240,3118989985,2465431761,3677675260,614498636,380187639,1662582640,3727996722,3554625075,3654304086,966833518,6414719444,4635331947,6555725388,4094116019,2108702535,3670541260,4825142336,1974571330,250418070,240511036,96904860,2195683108,6792553125,1833526346,2842529400,3984062736,765535431,6593734872,5698733424,626727954,3477822040,654766432,1981519347,3296392980,541137263,498275318,1236166028,409292016,1508390106,2738983676,56066966,3395682976,8765214291,219951012,195148320,534316934,515137390,34501809,175794536,575310532,3567323431,103302220,4911813265,1050105597,1763304939,6045432408,2319279949,7340838776,1614718053,549590240,3858625155,272977201,746302446,1965008578,2222189914,5800369338,889429221,178310352,4269061180,748976697,1079136288,2886018968,2083723925,691299866,649882482,5810390199,910330286,1972494695,1377632384,1726151214,2258482458,7656134784,464772578,231102144,1687982052,68449284,244607794,2316975980,2243432250,1181676220,1889879605,565067657,2288549248,2869347285,8378355789,2444289160,4496793540,3813070599,1717730643,402281883,8400600450,3311896428,4209709072,179398216,645354574,1649085608,2920968905,3717109774,4697950572,6156528759,3009501362,1005758460,689266490,367721973,1872587990,1238476575,3467903535,355848995,4677149386,620218489,2150751906,2808999057,1721841860,509491255,1055906680,1721889489,230212016,2757656658,449670168,755145375,1248459236,3865562460,4840607007,1385437446,837237735,204374268,3150017880,5261919082,2965500732,537349521,1553157315,1203573546,1937317532,7467723936,1373203918,4509009309,124368440,1634231840,545682018,372491091,2395462077,5889952728,1662835122,433511410,321723015,24432540,7562497473,4341746766,1533778344,2681181062,1800463424,1808977192,5493290463,7643025840,3436959474,1333751946,4256718700,3478423683,810454624,5821227412,921723642,288690864,83384394,1094495028,6060280712,223236880,4276446528,239971440,6532069565,237776666,79250164,5575499415,708462232,1835727136,998353000,556461072,8023992678,1124291486,1832377288,2382481521,174519180,101298171,93412845,112243340,3514484740,5947939548,4852967814,984468156,3108524364,142369572,729074010,1737115225,990996932,1793322384,5128895485,1936257735,4402754398,5100337698,799066844,8353450746,1060420554,1609592502,428380032,5273780868,5368394486,2429378220,4529538360,1262880400,1641540339,3636214605,1028450065,1586312274,240584235,2807261871,3875567928,3186291702,4802964740,227740050,162121170,1426178680,6381247915,5548914704,331450713,7370215656,4087994224,182745653,3888308720,6516542752,592403363,4893088168,5024402760,4022216506,118363366,1310380528,710297739,6086198448,988150126,5297906390,1971907592,330305604,917996331,1046780063,1411726128,169795556,180618784,1165589,3792750216,7409817336,965699227,421589370,2934530745,4503753927,2730709491,5615408358,6897082150,358532722,757625914,4262448330,4474668002,2310628208,4104298735,1468708770,4449569445,2957754085,6508768896,7700977503,1295531352,422874093,1656050478,5563405992,229426250,918320229,2099474460,677761574,1705280685,3625119868,5795514536,2392496754,5054212812,2556315963,4840948932,238531566,5738699268,143270471,5113970616,24529812,3358666827,1631390816,2576253744,2481298686,498122819,1593082072,2804035932,388719210,209542277,1682897802,366986136,425766962,1994605914,5339536638,3904622352,3044027763,4208261260,6859920249,1618903860,5692756720,68519812,4816149036,5063873088,800268960,285326030,1971820710,2230677738,267871660,3878733160,2044011792,328313045,3887332332,3833171764,664198650,1170139293,3376004751,1472055928,838228280,2743830096,2413853110,1134687275,2608910384,1806982314,715962966,4353323460,6565442424,5166817518,1918354380,2844094156,1009083800,6550016004,3500653509,974646056,859798832,5221562760,7340886520,481077290,709518844,170922850,2107985400,6447284616,156479020,1959320946,924043803,3004622430,4741571128,2641965200,783028899,1966346610,1883840547,591923746,893412885,1097905064,2952091254,2183698782,291953840,2817710280,1636503385,1375170748,4798825104,122495850,1581134746,1612644700,870032821,295101822,2995839570,3597696024,223555344,325744553,4230032880,964184753,2632842448,729152825,1756536228,1989995014,6623462952,366568768,3730302988,2281210888,5133704814,2935139208,1751234223,1844702802,2146758300,3795317544,5636166515,2002793208,8953345017,8908868790,2420910016,892165830,7569165,844659754,1517815821,1861159916,1671697686,3817692964,5927290362,1125918992,2870587572,1100847260,922808340,1796053980,4498905390,957048882,104144645,735282697,1130280956,2746698099,1000050608,1779855588,43359834,8240077755,83933974,225296622,4087472925,220736772,3358359567,1497834672,2643180540,659462834,912422095,3643308080,4949950595,1826336916,1407529448,1813534802,101357748,592090852,697708062,593071383,2393268626,1785457620,9429238,492163407,627197067,1311649865,1766793916,4220364239,3142409389,348137120,3260533775,765418659,2941861200,7217011116,6994299880,6099403485,3846051405,5643662232,2843306094,3419860220,4820491812,2213237820,1590789642,4966975611,2855546103,418862276,748708481,4001359768,691876258,4457145322,3768094368,649153702,4028199336,1349156812,4793636659,484884378,1243655064,1584480201,3797007219,1551711444,628731924,3418489268,4304593782,3806242638,265345404,2242752230,5643700254,694608187,1271423480,6869328152,1995201602,1300159695,271651704,3132900945,3498690490,1151113467,6548857240,5817261256,3074460284,78784442,3850188645,2732212000,89239332,1633663735,520620823,2621272248,3235443792,2559630702,2847382120,1753618824,3436000197,2496286332,3179083103,1627689896,1417218254,4102259875,106591460,2066257767,3883795860,1063004196,1753808715,5681599065,868184880,3362158660,977578989,761412387,3521967844,2728378208,6764336172,5111542242,191532818,3791234795,1849119804,6878450432,621515790,6843897657,4014305056,404455688,155301315,1891324374,4649353032,2287080792,5877205120,1526343780,6722729919,392727655,535618818,2128075248,561420444,1750564251,3736775312,2664406384,6427672784,1567060700,2988897255,3596498150,1071727730,741369488,4474489260,120086070,1704643714,2434055826,85262637,585461248,56986304,1970448640,1817979172,659269924,653013780,1459392795,634879006,3895313104,4889908737,3992220090,1398824065,6599796168,477038620,2534160807,1531310088,4862448409,336672705,113493232,324331600,3809724792,1200957501,667444600,1879235850,4708115741,6460036401,273754716,2225125410,6686404731,3238827136,445076540,437131149,5813635224,492084680,1720229845,2502838084,55650246,2132033701,3504199195,3566474982,2983584928,682069333,2929669615,678793188,212807164,2453956372,1279087701,3742810980,5202990186,5193563700,1091318705,381799758,3485062344,1255303502,1602737714,2836414352,2428058160,4195498548,2105535522,532316389,2857322295,517164102,1297614152,2314869032,1113337000,669800634,6918742512,224975064,5270221565,1228832598,8343997785,5579971208,2135362656,3208432655,2056348160,1486914700,536724516,745166280,6710982089,3107540224,3446057792,5016849719,203080444,5873106694,332427412,1913365580,483429344,6412599944,891367905,42293536,2691888052,592961040,666260081,1149006054,379150389,7182766528,1160111120,1765525713,3019376956,2035044387,2218205271,227776500,1864354266,2476138242,1094169662,6687965538,701228604,3375620556,897916232,1177270652,606597560,1007369343,350617040,3235478544,1557586113,1495113452,4592459576,1466766930,931741672,6881338992,5393272128,968623494,2621972185,3716991640,805321960,2715168999,3806409978,219022878,2608488160,3159808650,6687040872,5028157845,1299520526,3574594744,2142668549,7101361568,809213376,2089664521,1022855796,5562703818,2755503410,3055435888,6794536320,3773717465,3508384488,1866325662,117305600,1411927498,2975349404,1699446770,2725194872,7794588496,7218393048,545482608,477088910,979700360,3804072980,1484741670,5232874239,4007524248,859988544,3246702831,1252673835,2027301878,2667250524,2532235004,4929657957,342042855,2249468934,1392792832,909047382,4792484648,1883867734,1101809415,490749647,378899883,1419121232,6247293451,1956441872,946651114,4464158004,1105621794,2280100842,5714991765,3971096312,128639454,1452343908,5331950220,8597640933,5470426,2576310775,310397129,1579738428,3299835308,1457188712,1721311348,2581940127,5430802818,724134579,412442648,4197521010,170366982,3744793470,6834090109,1917653412,1234824736,2344347069,241729434,229285378,2234485755,2619180370,5920662600,1571085012,2450660480,2830886280,3928225,1145147048,2439462135,192500203,865575602,1546346656,2458669664,1457936520,2866865463,2904461616,1448201778,1082851554,987229363,5235123960,504477540,506450952,679822283,140317959,1521276124,2975336656,1927351356,2939965290,7723816840,614260204,3051846816,4908131580,682873236,3710556572,4417262466,4408127176,647820414,4313475012,931966111,5895000752,1960206684,1610834608,4369696975,1027083249,276534426,3974266160,405669964,515760350,5914085682,747764262,2063941972,1059512002,3509920080,4730054546,3560971452,2275982148,315160254,2269551068,658386090,850483266,635874472,20479816,5362334136,1984793842,3562623027,1345763166,877818897,3961878084,2802817323,3275074060,534658323,120888815,1017811798,1517403434,3175290608,5551228123,1533886212,3191634738,3359204034,1531301802,1296819858,1720518240,815410346,6428206820,1605007314,429901559,729727984,4777957640,3295778432,1044775959,548370004,1332833136,6719745074,842830080,1341117981,1305346694,775782736,1663675032,1777141405,849592338,3467657598,1710714706,3024577260,5210498457,6289366768,4521555785,1770905148,3003330370,5574199752,4184282578,3365378244,840914480,4526713070,76661650,1271219904,618465318,1652906028,631087557,1771824280,4558262200,1570037264,80697174,3495093120,1064435570,5684594048,3547899299,5863207446,215908822,1632849180,1751301100,5489153412,429416932,1224697570,3681193560,230353416,481139271,7014733728,4589459695,183983700,7170165675,1705304796,6064272208,3117790350,753745509,4339029928,3934851111,3614299668,8285780853,175621229,4029787769,161246050,836666883,598427536,5048968194,59387315,2645236056,3535023678,2047230952,2615087215,1281590010,954511326,198455040,2200639476,1384081517,673188581,3222043130,3404415906,2233227276,7082004681,1628882652,697992977,127071054,1111879293,1130171960,1734074764,1917811273,4887182097,1306922426,1499603730,3690672915,3583991367,6541470774,485692491,1551157832,886009761,8470928,890371538,1862893888,3961034832,958449834,3383432752,4676444215,932836182,4092318930,1714980130,1509807920,5436398394,5449270608,6665092511,454231696,1249597741,4750135542,302387045,2772375054,1744986824,3194536464,1439402472,4672722252,1492970316,1386547885,794928260,849561534,1402797014,465318156,1182776208,5299744014,5836665192,5477538216,556633068,2196706938,3011862216,109524324,739961675,2576049392,494399866,1852929207,5071399656,139644435,8019780669,134793585,618669312,3846897695,1242206684,3280978040,4047678078,1692798136,2450842365,1733900756,5022028472,5884325848,6753101704,466360096,4085196255,776991492,4754613745,159005271,5791274552,6767279800,3915069844,1091812830,7175601009,3297854262,8973260199,2253117968,3045167013,1893565564,389159093,3600181444,6698060352,4476773600,1253138200,1258689532,2222960046,1410720813,3374906392,1300526868,4495563567,217769116,2079869670,872146482,3086932136,5096797434,5856706632,863127822,6014325730,7891992711,5122480696,7498563273,106044774,2964794844,6347121991,3063276155,1296064064,608509332,3470247972,4939112,700310464,1922364117,1799878388,131038005,264119728,916029672,331378911,556795877,5808238632,3299333391,1031533576,3927909310,646159592,3944505190,2247871401,131175372,214451345,3948103780,1792321698,3540322026,2835219849,3718467255,149202330,212360016,5196874086,4108927470,2680436364,1693466328,1800238908,3807567892,1098435408,4655539998,982689576,4953565323,6006427182,4879118830,3656845550,3015736544,2557773294,1751227344,81900613,453271812,2544221196,6751412559,586434663,1068412020,2071152270,311332790,2039671089,808882743,3776768548,967919376,3696427600,5496239664,1259637042,6270101946,6835487535,817187905,1348116424,1167623811,616234210,1748637732,1694041783,4550215425,664938984,5146830783,4262915150,382148393,2700273912,7249940800,321541346,1001251130,1706627260,3686175800,1286826452,4645052000,3947263754,2572908309,2705798480,755033630,2107752656,2511989016,7986400983,7131583264,473406864,1298316390,1701258995,1290944667,2595433948,3294771480,3132297576,5819589167,337599332,1390673627,8713719,56834923,31435664,6758760928,421033977,4027883515,1038213734,680332558,885545571,1087868232,4448895684,351880672,809514117,1843901430,3653881020,6444519672,3462662868,361177318,3006048335,403676604,1401529660,2002670593,5822128627,1416005568,500270183,1691623975,6837661458,467884326,424770306,2039937675,3199625045,2983352813,615113628,1646120960,1393135644,5162758566,306383308,5084762070,358510314,5498542464,282095583,400589454,251281716,1894690868,459837036,1199692680,1012944196,818359556,2415114368,1547304508,1964785056,2336215980,608628244,222237258,730082426,7037782760,8982433701,4217468680,449178961,1980298160,7009991307,435124410,767457492,637198914,2420280486,540423006,1464564412,398557160,2544300088,6149843648,6039292221,2606509496,480005082,5809824531,6951085227,3722555358,1036850157,626696585,1803677880,183059721,4486458753,216713702,1299728685,7877756,2066205366,919404112,6694396086,142285021,2618331725,5938049790,1574903340,538238792,5922013272,2308370036,3876496232,4799569455,2281483242,4346777808,5440671208,2248469855,807600273,749993320,1700632330,1405622380,4255767704,3208272894,3069309852,374889336,817760565,2182266753,1716402177,4164369870,1123273772,5266210941,1087881580,28178136,2865534615,54000176,4619633862,6757193625,3290623936,3891535568,3166687885,1378777248,3284434095,497157144,989554279,3278556594,40937192,812946620,7876363878,1136171376,2771554688,1449526728,5680769848,3410080560,486574120,6633263644,70494635,5465849922,12666998,398326468,1696595306,1165171820,3255708018,5688708966,6890152577,3171212595,2921993550,619776645,3072501864,108382486,878565744,2706576906,6566064579,1018642340,2272532973,368939442,594252460,635790652,899738208,6970704896,3218533015,146056940,436810877,1163382584,1268407462,4748216412,1109119548,952614219,6387963390,3354180858,3034885064,3577210815,579070196,910753458,2745985932,1573264840,2779289565,3900477156,565204836,2487415086,1107472701,5560335072,793695351,3277899387,2622128768,978312880,1911287706,4240434422,1411254282,1691963001,1635047351,1666574014,8225819541,1272090710,353008031,1944531350,619610306,2998481450,180114534,552812039,272548440,832437545,1317256794,477055787,1746027622,2299881474,3848299506,963110015,2955884215,1657373166,1449987420,2537566075,3635744015,2236956640,1759755496,1840157706,4904128936,2136583206,2119531491,1855925154,2657835455,614619936,183892248,419284796,655650976,361101264,665929250,1461522942,1216054908,202100090,3715723325,924812937,106577096,415275222,1857308838,7625015736,5645146944,1384933862,287964204,1099712430,2005082883,1720299327,1532486680,2034218036,39261303,2666220596,724099580,999232926,6704678781,2501975295,2085129592,1121671071,1493820357,1192938980,2857285768,1760092235,2205777525,5679492372,4311265970,5430630480,1244475982,1689714100,2923320120,2524270746,4524528228,3588977450,2515728906,494755040,501379507,4872647310,4894560108,3812455233,977511883,8029743768,1553149784,2082427632,3394752228,2575361280,5725063449,3655617372,1823040163,1992140640,3157476280,651510611,6670543976,116829315,841322358,4230874305,1347226734,3794510316,1925120052,1342879302,2402332457,5863989677,160638915,5021361280,2087038368,1925158100,709989682,1057588110,3316321225,297340842,5361738064,4904084640,864119498,517736016,5158951818,626752863,778145580,586171924,436553412,50187429,1325395948,4153015230,269322669,2129943328,851714135,5476540872,220119078,2525323401,5713132086,712559215,2834898535,882897176,4836298945,957647200,930352443,1967174070,4203372951,3388152654,4390743375,1007310255,2492413693,8130210561,1643094944,6307103344,494874117,452770568,126231132,502648440,2391843720,7798965606,992923538,5534494280,5823669033,510020602,3932906225,4259121232,1466978428,131465530,4794760230,6267301677,1433120805,42505132,885607608,4225307915,184888516,126221412,4684363187,6932172780,3625387880,1949222061,704274688,298658388,280602618,1313547030,5373365600,2066864853,989112582,4703923956,262995354,1574138288,8647475040,2342244438,821236240,1149617675,3772697530,1867710722,2881318060,737610512,170133902,2870814032,320005083,1207730607,602287923,493844180,1950394244,4221071620,363791974,235865070,4346169112,4470516670,5670921690,6502887240,422722611,3496971632,497513358,3591620950,432166417,4447432665,2983732332,597351040,3284777043,3152520920,438140763,3549998596,1842517624,2770085322,590951816,815023904,59480772,1278599852,5939674098,1604162686,2770028830,1345227172,1142491024,457064780,1444624216,975355042,2480626578,5789666493,326784525,2000629364,6909610698,1993782436,1218983235,4250309052,1307640288,114385506,4267868958,988597570,3250259712,865303209,5222819624,8465353794,2730598955,1684398512,2636227196,457204307,403273212,978042672,352144384,3192029816,193590710,1686237152,519416780,1535332815,462031170,5033113122,1013223180,3374797590,2434800384,2138552259,1116567342,189189209,181551818,2349656304,2354081936,637721415,1747467772,4366450482,156254585,693359491,5337636978,4407555798,1945418644,5828909744,902523085,2099926485,95047325,4008001840,20084126,3776716984,177168369,571305180,2210137704,6495846252,4689560253,3369221555,137192436,1016046942,838013064,410056002,2107480352,4548372504,4823296983,5386073274,1214952641,2386033152,5890392654,520340044,2722405245,1021603480,1018011933,6996510448,2103295000,5613984486,1621405440,3232386528,1835619516,2656687396,588431348,193641690,1695498238,421946232,6441598143,1324742888,372172580,6936185232,2128191036,2837580608,770676925,816207741,1541066716,8049598155,5905938735,2881528955,1659223760,6891153056,235607636,61172912,250337408,345960923,811966531,8080478298,7992445288,2120050098,123041593,3600711152,565786140,2429124072,3574774259,1587074920,4234880965,1426963769,2729151594,198898698,1937304858,6038189766,596236484,988016822,2617070220,1780261217,701656640,5161739466,5007994344,2421780240,5063901936,5351095918,138692358,5207408316,966986035,185327376,1775823312,4319547309,20081816,4730001186,23294799,1403691740,5430592440,5386563768,1876106376,3568767985,1521295412,48376550,2609710794,3523839695,7129459832,5634629868,3220246038,1849144850,1288807386,107339064,1356459024,4400372725,112408635,5048224242,1436584580,756311313,3270436704,1827101384,2378937135,1976214445,3367616192,50917870,122370976,3386021692,3909353112,4837705295,875512580,1593454764,1056360444,2810464116,3097853048,754060062,294367162,2788109382,2567520808,2283705111,2316188440,52945056,912822502,7652434872,2739144772,3231420924,764728224,6547089773,898263060,3360617708,374232432,2038892885,1607612544,3089093861,3160578120,85998569,6155799006,5172089097,5635041552,2639144385,1895771668,377495830,801398037,1334719215,1078766912,2527202010,1247172752,1497842670,420041776,141553356,2914824780,1254891568,674558976,7512074253,1793174184,1652138628,156872784,2093823788,342328508,5657342117,480336924,895177866,1686987796,43887933,1388768324,1604821851,2687742432,3818102256,645255270,154783902,3186049695,113276568,622133288,3858674615,1277487512,1936091956,743752300,4303992266,2343299187,4585905555,4202874936,5055027200,798169456,1579288203,1122271374,6686222368,4943766816,116638224,80881884,749764641,2260971687,19785380,1113846336,144214576,7742397177,4937027335,1066376199,182630596,6737521113,4549608900,1264123710,3229149996,5080886888,1871464324,3275886075,2535333476,5189968755,200368770,5431987539,210864442,3529688344,2191001157,4635533304,14694666,881434025,4869855896,859344616,704043093,677857940,372416496,2492706198,1745942658,5661344124,92978988,7637972832,2947127832,2565794331,3119329216,4129091365,2756447981,2377089192,1653905466,3584030025,4782318444,1543583408,5762011584,1298736218,1929700240,778850178,3589473041,3445528464,403106786,6904805908,4520125000,3897452264,2297191945,6368608824,190881032,175682270,4237591584,1130207484,2713444736,3921143920,5427826056,4196906556,703084919,178412568,3432357257,4753639730,1309890750,3550051652,61211448,3232913832,873998015,4687108615,3016709003,1956138570,4228828476,3018912525,4734143028,4321534110,1774489242,1190363979,4294961140,1997670456,525767875,5587332330,6502542786,3563040950,4568305416,3619524095,1350890254,968166762,1642149200,6227140869,4919151391,1697316144,1223280988,3774726512,2375053048,2847967880,998943386,563980383,2630693616,1073867786,4945321765,7164367544,2494397745,3930337045,83331161,886565232,1709043948,675094565,806863027,2151455673,1917203844,666870872,442433742,2794434828,998834564,2891747799,4732177656,749827820,8527940091,154300740,655120620,7471450904,661548051,3753472338,1690691265,1931495604,224570364,1728324996,396134399,1779165855,1444263228,127912253,2347114020,1502239232,2169838008,4235861295,162144225,918164239,6036384277,3337623256,1416175986,5321489649,1064956205,867857302,212618037,5738660688,3123125240,5806024581,2578819566,3327064578,5523168096,6293128864,548639456,7415344544,91447878,4619431980,5062199070,2202059595,989561776,1810453347,1136352270,948800080,2045518668,170664514,2486832943,241640272,1780287912,7923586608,3934305684,543876634,181042278,2397483850,857935224,183589917,637493454,62930747,5994293931,613857990,1938160742,259919912,6247788462,7374775608,5275082896,1442625297,6723064360,1699847072,2007421829,2604863763,7035130976,2682827384,3802432480,5478466131,840378216,422031401,1395206532,418093827,4260991,278856972,1531564248,1960315836,674933356,6028850835,1429635802,4466554506,2501773967,7265652832,8625782655,1844304747,2681006760,1508435440,267439744,4175978112,562445403,3298154505,856539516,2275983815,8856835506,6057015576,1811638442,3042039420,4958033982,1080636802,2206363672,1370436820,1270833670,2959657692,4245245370,1084374306,5328869670,3463538920,1004534252,1720026732,1548698736,2300169291,4797267832,1865514882,6048850850,1102400728,5135303700,3872326948,3149762791,117035460,719788088,7457251856,338684115,584746092,87676542,2326248832,323827110,831109616,416210692,234921348,459558252,3141567908,8510487525,1824588357,6720807816,359260875,212340565,1735632008,4173185706,999882450,5337292192,2725139168,7653958152,3748603482,4770674584,5887975198,42102624,2181081381,4350409936,4066362544,1065822744,4936315520,252701178,251270810,7547834133,1848025040,1193814258,403427094,375989272,5713514376,2864701868,3934673162,7297722468,2964000312,4592978048,1942129292,6212484320,1075633460,1252340739,699623517,6873440992,4112089023,3584533975,1488741684,714360330,1761870614,422436645,391811508,4999877073,4731606834,156778458,1975047228,7523051456,958632732,484739034,400807075,503463561,2573287497,692549625,3457059057,368016956,834595756,3894519996,355769862,1736358416,5870204082,662424157,843506934,721874622,884582805,2837899012,431708329,2349674216,3110741148,7234578045,1472390752,197981244,2875474935,325714237,2296608268,1432303074,6313358429,2544210576,665153254,1574475777,1299040582,3403437453,1238468286,3205680522,1810688112,6262505053,1357482018,1310854728,2091124128,1093715985,5796459823,3209106715,875337903,1166864472,2030014254,2383441695,119146415,569620382,753898674,1441493499,8271078138,2177678912,3657923311,1234596636,1008580125,4223344962,1053578477,6014416345,740724492,2546317578,1794344580,5201837914,1779139922,284466779,1252948856,7886838712,5841535908,3161308588,2013158000,471073735,1885708254,4700792635,5461183984,1329062904,3505790760,308573619,348564792,5880810672,1197447796,39624612,1888516376,470031413,491977978,2629549188,1909657803,4888343214,2115795195,2415590634,1422257358,6500185342,1343048808,271859308,613228446,1390357734,784399784,3313442060,26542258,4743039150,4552989120,1174080204,1970137558,200764465,6199075729,3946184424,2485853180,798978408,1332827244,1021633203,5712103215,5208940828,3370690500,4878311912,7673008512,1321884756,3235906144,3452951362,5012482349,7855576680,222632590,2053503420,1725362058,221680203,870839352,2875953724,1738586732,3019022220,2604429905,8972511867,1260185895,1300963910,692569074,100704450,1029502840,6496267680,1834961536,5089017294,750701940,691649361,668412278,1851131901,3226646744,658520460,275274541,3750169205,2400979945,2228668552,1818566832,881703412,3787321320,1422885296,2123061459,879127489,4886582190,1705941702,386507214,7084150569,8549782470,1053905384,2195123070,2157726006,1807565050,5711312808,3163116140,1171246932,923749896,4065575994,3377397522,1253098635,1901606166,210679104,1995245464,792584571,201645268,7675997360,983465220,1265715688,955396814,3808070144,3976108260,298659797,1856688864,4662047455,2988280554,426389448,4652143930,7873952656,172827936,1410548828,1570725196,4702094226,3171809685,382591620,996626450,1969285276,3150803200,104288934,153910870,2182242000,2160829713,5287649136,1447058706,4346507505,397382728,4385099115,604453203,401805102,6093929016,534696332,1091206264,1527058810,1972427135,7402648784,41991912,4441426150,1230448164,1830684107,376733516,518472702,5172711586,1600008120,635987522,2539206726,2622420008,1554414516,1282081744,786144435,1014574464,1766246382,4600984860,2689022976,1044784608,1011171815,2353694294,3746960704,4006581642,404817160,2744991976,140594862,4760099778,432332027,4080667105,3414181628,428445594,340391388,6514410944,1994356008,800252682,87027950,1643571774,1823757540,626131810,1265530722,2241324492,3822404416,1643214638,463363249,3509039821,383488380,1631986272,1342490958,1581303506,3924062416,1042142864,1159950288,634977192,5777246910,2798954940,803203690,522302173,914978163,971442864,4316069615,2998450068,5421484908,1931749516,4618835430,5442616134,2642699856,732916706,64488664,429441124,298063458,3568088440,271448615,694638182,2454519335,203649856,1921831344,2349832920,658272282,293903276,279497795,402118965,563323516,5587692906,2464389712,2260578446,3586291840,452261928,4845987336,2499859624,331876209,677704895,3093401564,6812584614,2074066695,377953925,574750557,2009330712,1649812862,5232912942,907040924,461056100,3864181420,3900162008,1164288924,2461184116,5970344688,4966124088,4474403248,5398170645,4962592485,496199454,324051784,7065535872,5406858132,7690259344,6005914192,6112913112,1829230248,3748897048,5392363527,4457086536,270850146,5771044624,7664188640,1487937250,3124316672,3159169036,2063628999,3413927916,181249320,2689035937,1724816358,5814626976,3279339714,4043553136,1897193165,6158527712,2693162430,213302044,1517296166,7135787832,8038925406,2451754170,402257996,1403831346,2649193472,5499347021,186211296,2482477374,508101752,281351310,2791581822,2079232208,949733236,2343306948,1751669649,682770642,2222650062,1257881964,40210317,2274630700,2864844865,1983776553,1189402488,5299750326,815500946,8065779471,6153181265,824893701,495330367,1683491640,787327432,864231604,253397576,19589343,982181938,5995063620,53841525,285756471,194208406,2045913320,325865616,5009021532,482698766,4308147475,313445035,28918816,52561888,393908058,3580481404,6207636258,3256627596,352354394,1873464444,2815176930,2241890106,695164200,479860771,3793591130,2020075116,2007240510,1843506208,2989004943,3870219744,1322929636,2936063799,5995918584,878985111,4287732928,5305581472,2136819174,1465713351,1965052280,310760514,53046832,212629438,710077736,3650401800,5443866344,5935506156,2270010126,1980231425,258982035,1275159316,3105519368,1859035185,3744361380,6727707344,2063364381,2440385885,2028809982,3747781644,775425670,1650296631,70508655,2651050990,2470950090,5271073398,383695586,5828063570,1473189768,2520614276,4474284486,6148237248,2663583652,1199846871,3082592320,4849087130,2164702230,660943306,3478229111,4002871585,4991043672,343945744,7064471880,2780674416,639184840,4507453223,1653897104,2707130196,545967702,3139906014,2380855101,909596944,4289925144,3797453824,2381040536,411387588,625177110,2709149448,3512617480,2282292318,1393971944,2717504694,1708567588,2755835100,383016436,570959025,1254323487,294859955,402907632,3104622216,2929090648,1564288719,133838739,771231375,1994112116,6347821375,4027210056,420450975,4102584493,1277300322,790261237,82646112,3149577720,1703740064,2452058592,179804625,7162695000,3198411018,3218417010,1810439066,443198871,470156048,3275815487,534385653,2605759471,6014546325,220336077,800041378,4818070332,213227576,3513271384,721266444,3042045666,5621514864,1387860576,5909430240,2089713460,2202016544,1203284628,2772827916,3993956424,331829581,1901271498,2737564068,7278838425,889944813,3030201671,716195274,6605313428,2871774786,2805732690,4869240064,1245446722,2895123336,4982357712,2436707166,1885964124,1823036664,5079501376,1465692294,3801927552,698581389,1786887768,600294342,582541777,526307503,352187804,4975854180,3762552654,4621075668,1822075098,4439462340,3586419480,6221683832,985460084,1591831190,518906508,3886195732,495631506,2717082120,2447006538,5250908360,257469076,3183379035,1826964816,257035634,130001549,6290189451,1715756163,361197117,861124503,7394850342,954553764,2886818562,4536659685,2668257516,1144483092,5478092921,1099352950,7029343638,823089856,2547964000,148189534,1284594872,345081843,309039727,651777454,1577564289,1545928752,5215791882,7466446053,6773786262,2145054729,4559856140,2632926204,663051126,4805551386,469223589,1162325850,2191066632,4923783978,975695452,1948683828,4925208432,3557221330,677195508,2228588616,1452171936,1638924440,730550536,1433249488,2601157072,5559587306,942992607,140669598,1096178664,3659718870,3190318855,5264525028,166816567,151069242,484713146,1940881300,6230375936,220603239,461128215,153805682,1224850002,603820292,3817172485,4815979380,2059182030,3309923134,2496846402,304533068,1077562770,1742081955,4755108132,1397047864,1078705008,2304408405,331428592,2255557913,5093542512,2357557531,2228795744,839981220,2449884784,3695513076,1829898556,647504915,6476784279,7523995368,5550472170,1262587380,306831090,1489268492,7691669920,2163202286,102663046,1624786764,1550649182,4823283656,2785004610,765728756,5758315192,735370300,760119731,1570400200,1197611262,5197852998,5958283284,2144785279,1033504392,315996800,1139976768,1637682048,866463333,3241577625,3671173548,3957966775,627138804,355162560,900297904,5582356864,2296742859,3342520314,4000641325,893444910,2218793756,4791970074,309428796,2120651013,83221683,2464903732,1917213762,7850589032,3660909084,1221606732,5510336823,242701284,356311766,121968606,3567727968,3655574455,4282066368,871695192,4260913909,1383169288,180479163,557239830,4203298029,644445510,7296735968,2160975444,587300903,4172125790,2349969222,1980609948,911456725,928009470,2776691040,1153492845,1896347200,3156214564,4431715512,1037460431,2453879232,741950464,4010352409,6555861956,1658389276,1906220085,2378698605,393342999,502884845,790952503,6500657240,5588982636,89541288,225147492,796343080,7297096374,5058805616,1913300988,3187815264,1711818837,6661348176,3850719436,2133311704,1933724200,2874545770,3930601036,2978365002,562325349,1029910803,2582835976,1444110570,2562753608,213704068,283688604,488525420,6542286191,760382877,8893661715,568906227,652291563,3646171662,4974551519,8096538744,918395363,819107628,2082650927,1830320440,7705691253,3308188915,1615701498,4509506925,5074521608,3793828404,1976062788,173589847,65247888,1806862184,776807424,3303536299,2737079766,485831328,5624798400,651018364,837956277,57793900,833542070,3519554420,2513326488,2348926400,4013240910,643834030,1222208281,465810372,3171985848,1799742824,1813311815,5285111556,538103727,2815454454,689509136,972932470,3703358763,912455177,377942800,1815255096,188175756,1875309732,692170320,196279325,124052446,756603767,1521150968,408831024,70553338,4699041120,409831934,5076407364,1725089090,2488286199,1915231086,1141672488,1336074822,4037516944,3350318697,5584339104,3725402244,2147943858,613762000,176697690,974136095,4545060624,2008085535,886300074,7813743552,4292461187,2577011164,6783841112,2518154493,4709155752,4483656675,605557569,8851107006,5243917914,1946941468,1709824752,268799094,1261578232,3976061620,5103818091,376532575,472908102,2649837316,2039608736,1966429866,974634093,681209348,5718813008,245165880,3627760824,1882511972,4769161816,968222112,3225863204,6058456376,7023609096,1223712960,336878964,2405318840,2713829935,848403022,6276793472,4502260910,54450020,1747865035,2793595014,1284807939,916101042,1927766816,1437370012,2242710376,174177180,4632929686,4323975904,3700511915,3019735720,915243879,4584834765,145778962,809062812,3969426185,7931865384,1326049362,5983968008,6542653726,1270097070,2578042240,962659712,1148301416,6570006822,1379198880,354167754,1642873098,719768242,2789788590,4915834758,252953622,1435367133,4356652734,1651505097,4064326686,256670986,4992199029,2720309186,2506069344,2872907460,3918812780,5925638688,961144692,1162038879,533548020,641070458,4805967085,4297009435,6731868675,696652789,5739420296,6338361800,127684116,160977096,1265138949,3971920560,4250982288,1843509885,1768519960,775758036,1276711776,482517090,6462521256,1205119660,1847282390,433416405,4254895605,408805184,8607752883,4190033076,4478146750,105917070,3091828360,87758832,639464838,3911492754,70605380,33637343,2305638066,2829644154,3188091055,101398149,3114617898,1349207132,2511968778,1626439325,2328115408,313775502,1345927132,4791557190,1839961250,4052034144,340464086,4984332815,7779402441,661100629,3189677379,552234195,1478701092,95997376,1450131976,231505650,2107321105,821987055,188822113,684338184,244174664,899974406,3063504240,2399417212,6936120233,254530920,666208078,4965802336,1038141795,2869128000,1931446552,1456396772,3515603772,8601571881,2501424240,4185513549,6920991824,496509270,4067982815,4620028952,3310599445,6775534377,768930482,346383382,2038503810,3437579565,6853978957,1223632250,1671054440,4296226792,1388334030,5143444192,3646252593,3459525375,2982223776,2769738555,847079236,227857281,662593230,1960532913,510872050,7643039751,709246883,6056774168,7842883144,3524838414,1192095008,1726609854,639208932,2888375172,3561806992,1108207583,3186757124,8380586259,5208965832,1440365025,506732685,2935370853,5767989752,6208007036,533390431,651355958,5992552083,3854593908,1077305562,941288475,4372424168,1844189459,1675198968,1498177626,507594747,6091710149,3148815780,1546384322,1309472312,2380776715,4623653960,3639333174,4222049755,3859659432,5909119923,204030910,5035339152,3117347824,2552795272,1428496401,6597915408,6039825399,527126748,1114177715,1813373695,880659156,662698101,3536425098,5132498322,358987567,270980584,3009577244,1013244262,1222257345,3158685873,6344346128,101426026,2322868593,1523656238,1689313071,1347646272,1687373916,429773776,5824409542,2927335604,602393783,7157458854,972795483,2364455215,1724337699,1548071046,2817608878,950325165,116095437,667675264,2988685888,1441316373,3901488320,4941427695,1947725208,447943548,1449491310,152625327,2592137286,710971784,8111830887,190720863,935792200,3511838608,712131290,503475484,256818081,2416301284,58484604,777294666,1757348046,2614750050,4265151855,5508672953,4428765798,555328495,185960985,717464,4663581084,3105299444,2559447114,4616651228,2192313940,6406942176,8050319892,2387657601,2567594112,1599502748,1584972816,1031038596,3828509550,140296402,4696547976,1366020005,2524064967,20589372,2056752375,5355292894,3921341830,2795994160,1855640337,765015284,1068140211,5829733206,1645696530,1097443850,461254380,905551536,570675938,144135266,5312850348,6513282616,2321896512,7932466144,2263165476,722067060,3673045914,3718855880,4629055690,3315061532,5325894690,979420559,647428403,2536203,821117188,701031810,7937578485,4135836560,4094822382,1237802660,1822725868,2915176716,554328960,1094512340,5444803385,151747166,1190988996,2492149815,1434602208,4278426260,1236153852,6776725627,4303258414,8854320420,3323469030,545047906,2653640195,2923036564,6250084218,430149392,583708779,4889667120,7429390722,1512119115,1343845348,3761550444,4014752350,2477413671,5464238073,6311162367,6703659981,1858743296,457028085,2805763360,1008230253,4415185572,2517246546,4336160904,2849919250,1235942254,2743363290,1921896986,234055220,6713452395,142860126,719634135,859866308,862296744,3772997864,187870734,207606670,5801040245,545994460,136949624,3546409594,7584962508,2993253676,358121806,823293470,3212200630,1859785290,4808834575,3747389140,2403243759,1547240114,4279031532,172346242,4622730306,1304359310,4616425513,5864334876,387164682,1944515064,5000116446,650184528,5391190584,8235054,3033042076,899965836,72771885,269821584,3347099544,7235325592,6585274871,361125513,2122318386,2543830188,799437432,3660727745,1913643645,2766923085,582699942,3859112453,117911829,4308790425,1059683970,1330303460,4032625002,6287455008,760484706,1248946148,1293441944,368795496,2891920152,3839379678,2847902050,4683660079,862403760,173847576,3234971792,1584857560,3954970062,1282245993,160759779,6407812192,1433649400,7667421957,6946200080,521143410,1819287399,2458339440,840154329,3284784688,393713776,879906560,1541730420,5797314642,3904029894,3478731678,1992336520,159331923,3404540032,3387665176,94289685,1858988005,703795995,4635774688,1383598896,2805059816,277555443,3760404672,8823833496,836995582,2603984895,1386727360,4440678728,2118234650,5909085511,4664038155,1456631176,4428383134,2020692710,960515100,5274191316,1374293400,777291930,3858117908,622156971,1118986752,702799652,2809264728,1938118432,6897737320,3493584186,307897220,182618285,1877385471,2285056146,790937796,149466822,1616205388,1799889076,2870290020,3893871345,3026799870,381775681,3549578787,311992933,4192161144,465492168,1645573476,1285677756,48418374,3378415400,7642976175,2877218690,6339844567,4919809240,1336472811,527773261,899771412,1683715266,6459918072,4280478797,823119088,6193659006,2728128476,5902889727,4389621845,1333392090,2095906740,2929812816,6736573360,692403240,5997633453,2574620676,4466494632,3226578336,648623565,1172551912,1301484296,1437092866,1612689963,2261319036,4910843922,3022976560,944830266,7898850648,1798895556,2459928912,1597732560,207976382,2649099420,1906379631,4391704143,4797889640,1320298317,965020117,2528799714,2457677340,451534237,1014469310,3638265185,1946658475,332688937,668104225,1304761194,2620623267,641442810,417350034,59652370,3741997552,723295002,2280210867,3831969216,468654800,8789528889,3392610640,8393916861,429234490,233720004,1545510096,1736481112,5578926234,3697131588,3905988370,652460958,6080332312,210605930,3550041400,2123853074,876043917,1103744664,2736954016,7448803872,4314031300,126172619,490204080,3067500904,233902541,5107762896,8618202081,6083976609,4564628185,3149925636,3417832400,1378409790,1800058308,2567790690,1659714756,3243725044,1613912960,3642773250,1714359876,5444875650,1748069036,149324948,70473195,635960841,3164278208,435422862,3666964042,2283794049,5470660593,4346734714,406795947,730606874,345790089,2629449078,280145071,3983648460,3728982942,2620695340,4306661324,3894190911,795680306,28427572,4425457820,2099417235,1115038608,5151579972,407989521,5305285937,3931921588,524097486,1185664851,572651190,3187560365,5504519748,895306892,1111478988,1203521834,42845405,2021722830,426205360,4471145142,5302449592,4144571522,3440593300,3753385268,7740714177,1722465234,4310875359,271522168,208393428,5837993844,900755030,2805340236,2551483249,2740794216,792102563,1972733470,26262654,3502706463,803068040,175937757,2577862989,2837392551,936197135,1410893680,3876957304,7836189152,133758694,5633326200,2276448879,168086744,490738476,1004598090,6232998233,435336276,98795950,4532566040,147945879,276009480,1278689445,1947219584,259218036,2752888908,4414169272,1192755880,4817204142,268506060,3377113740,323842736,191781840,598027400,5299407337,3777975327,2947801592,5078508882,328816578,1200157544,2709978189,833006828,1338864987,5871508928,3565951046,2833193792,1472908465,3069885990,933684100,159162082,3751045713,1466373390,4393991763,3522761708,2598727528,1696105900,2379577120,525649211,2628214530,3328014585,447239210,6865251561,1554355644,2336035107,2236699188,2845950516,340364544,7424202576,247155856,126938882,6958827085,6809259150,6932195697,288513595,4599621366,497112253,2788640400,1774269296,1852467471,4173377210,8705899125,2334623682,319567383,7410128976,3809104155,882730722,3457781100,233828924,3498799041,4823602290,734656260,516988215,6274644687,8707386429,1056327057,3965257500,2701231029,1752396184,4844841862,2628585948,751956572,4791316488,868125965,8338755087,8394661593,3685386605,4437365232,16052362,3415942272,3395512428,1891382208,134387088,3656470686,328784210,8044905681,1013419396,1334555544,3726579618,1647558417,1705839903,1893904776,522971176,5331543560,3560425645,2195707710,11951150,427189808,559067810,673303281,2676348360,753801180,1663710204,7360877079,26184674,589519915,3854481810,4697316140,4624284805,1151298056,96372963,2521943496,822600078,7895937864,1921159828,2783690616,840236876,811403632,1308360564,2206033920,491500066,1047862744,2789133132,1341152142,1606505496,832257279,1718329543,1739860182,2778656727,2831056624,1530257918,662968216,3790239320,2895416502,2919365239,2450090325,1500240724,2728157384,2560842145,2848868160,5637205908,5348846475,1315008360,1924422114,2226280455,1879315145,4182318132,1629209520,3038523712,1663198992,1449263172,4885296252,2900545080,2056490405,4281698088,2956627688,1484395353,2409898688,362514224,1099287049,2215246620,5794972479,1615522498,629730652,450477148,1302034260,886803276,1550617180,51492180,4965941154,1953036130,1756210942,5611662444,4977859964,6929955375,522970508,2293747360,15597392,2862135584,3474733324,407755006,7133149287,160614064,779541515,7819602168,2277807906,3906896094,1176463547,1225196760,268485510,5986675040,2530486448,2304442770,626175382,311688775,2298525774,4047994845,5184086,57997089,5720352813,3858627438,302691322,157007694,2556097872,3554747860,392651908,120163290,5872976100,913686966,1067537952,909031108,2098090690,953815326,2270539578,1166322360,1026163689,4650915689,1834446750,5981388672,3932158986,6857905374,1354573392,621536036,572628640,334562412,625190587,3888547145,3676339539,2345342448,3859526872,748153008,2159639904,712203120,4699857636,2625513496,35434296,2290508548,7928237480,559405096,3884479865,88889913,3960517414,2237570385,1182203280,5312748222,7912177360,1786383000,4322624085,4752313002,3292450744,644527728,164030775,1941316080,1668405165,1090730160,163841698,4152508227,7513001744,3866819092,535045720,156412064,2122303936,2408928214,4766906015,727947419,209088075,3224042574,84751833,3954603400,2423825072,3296707128,1804089050,4873420665,3279570760,3093277656,1992282650,1386181323,6422391351,3493977651,7653152151,5059485324,6475039512,974419716,575189064,7823357872,444730118,1827137468,2058609465,433609974,6937197981,2770009776,520936322,1829397395,544911388,5069517669,5233686368,1761537573,1915373574,839888718,307958010,569541049,120329649,483017650,2442044944,4647040640,24696342,503638896,2832621544,4780798750,3876393912,2496265832,741999375,59470862,1753721181,1743778113,3593958170,3285864088,962835204,1452036324,3107012480,6317668609,2910139785,5903011168,228914010,7757513397,862042328,524787929,5740973553,1606186592,713647900,1946753776,111472910,5073326944,244327902,929454249,7917571760,1228229904,88274116,175619717,1248299868,172315467,3426049616,147514134,33913938,2431741924,858868005,1189354691,8885027133,131990829,7200590624,7917428752,1431659040,3052842864,76489620,1416953502,185796797,3288006592,216482858,325167537,418880606,1345369470,1813839392,520925139,3787634494,534110004,3401868196,99119566,5548564016,1297744782,2708911629,7312479768,3347685351,485716837,2330114757,11596344,771491064,3185135285,291157634,1339784892,1811907030,4538322900,5580528237,3796542192,1818280432,776110512,3362529210,759128386,4300965936,827542018,284396356,9372600,520175509,991906781,8881898121,618486538,811065440,772383624,1482476250,2228205304,3423281336,69941385,2961057276,3637235343,2782019443,1236433347,2598309336,7014322251,489039762,1720666356,357878319,1941446420,1578711944,744701994,7875576513,336374858,4187267325,616798458,462698412,3960654072,489022862,1495832384,1369581784,7327303830,1116988090,770201990,3563366380,595545222,736378716,7929876420,3033808194,6081200909,3581195422,2524020942,644338505,4528380573,391823012,55448202,133694039,4873784940,3925688442,7887736080,4863970638,324970719,1923464970,4220150586,6859413432,3749430568,3584680072,462461712,3011935899,1429969096,1939951926,4755116925,749644404,453807960,801449567,2651287650,1402446195,2722944860,2257952346,3984472036,905676324,2563818680,3134564185,1017088836,584166395,488738275,1755180756,623894498,393953872,16402197,1437391552,1667824143,298589956,10988352,2688342280,897729371,396837552,282692755,1263974298,5946458744,2865122100,5704483862,910676530,3761520714,3116908980,4814032845,6782331112,1942530712,742750668,4804244982,82492040,3378528360,311384814,4750213992,4810581748,2045468558,2442137238,1569906774,5271500706,5239772808,3897798075,184531173,6192376904,2464538916,3925061564,2363029116,1113533892,1108503518,6957557616,7780756888,5978644464,468773544,682773450,3789392325,767413604,7744411350,650173590,393544000,568816929,308753914,143477598,528640956,2657775044,4170443946,1196200311,4600509072,552339163,892983622,1422279,4186239680,3063341472,2474185674,849782882,921969185,5109490407,1479676302,3551216274,34958291,1429084,734432334,4388976365,931283695,3877966314,1969166232,6727132992,4559465183,3426256584,2946396088,1603769666,7248309084,7002068640,377673859,3493063860,1690493740,2679713586,2744254647,1798780056,1044862780,3000936603,5347161148,2147071550,4580671395,3731774240,1105284832,646922205,861519600,5595512760,574736565,468458154,2956441680,2522808730,2173570098,4647115878,6685454524,2458265492,5559882672,2190861560,719480012,5695212536,2279391363,267035976,388685341,1759279724,1193035690,2839332930,1151599587,280558170,931336327,3013335385,797062096,365426417,3746439725,5298484812,1014722384,2045616828,1038178420,1110548592,6507673438,1227536052,3113702865,6496124460,2219654778,1256655045,4868583894,1174096850,5764130070,958833733,166462229,2557552956,933302462,3125941024,422779221,7378059312,104851587,221018592,5964527303,175217831,6723882865,369314455,1837353648,2515609033,3960858960,2604012352,3431671696,156897820,139359968,689799950,1681605765,1158893724,1420455220,850132484,748308318,571754436,8491459896,703362989,1257146804,233490326,1231077488,2203966227,6796621305,3677969715,820739948,4140825395,700300829,248843548,6293601180,1406636060,6195320201,100564663,2867936435,935596833,2869835373,1583778345,7705017594,2646982920,340897396,21728344,2099392890,1108013688,4866646965,6329531908,2115475649,782080450,2451126870,2812663824,773403335,204077412,3350721528,1369417008,3411914836,173675414,534024128,6023312456,5223148155,1903097548,1039336146,6727442688,4315517905,919345714,1695654018,2658288368,3004208748,2346101058,646014810,1335190563,1267282622,294352623,782250101,5194426232,2930500370,8297280216,285433608,2888219064,2907258381,2197319632,2088303384,266566036,6418539342,4396956680,3558056670,3606504216,507180858,1691742702,1003400754,928464722,1839810976,601458918,1575377190,591377316,946211631,2415249414,3811940650,640508428,3248384440,5184948216,621249154,3320329896,4087221896,849659232,7322268474,1820966104,125223312,194404656,7195051179,40347740,5230651272,209515674,6307444339,1095329716,1522721931,860351724,861774,280196065,8064204,505017537,3015822825,236056488,11643408,3138691716,4112565760,1581592287,1160886248,6869459730,875744968,334413126,66744255,5402574192,815015011,748304922,61692795,1076021002,2819887206,2265565788,1630833988,126911983,1818647936,189961,135524576,5469229104,1069704755,1168781380,580161949,1893332097,2962521993,806383678,99897698,873078012,450854176,679118585,4518323307,3021352032,910701856,1478747439,2223560097,2321859606,312794987,628206085,2625049098,6771501810,603389943,1006070670,3286072230,6416089743,3878927073,6114274398,520537776,2448129858,611454475,202576806,7820009544,904920856,1631565280,349517130,2325808025,1340814874,1061863175,4778091324,5842065858,2884353066,5547479568,3201846544,2109037443,2057365866,1606299954,82952331,4556809962,901709653,6325832368,3137917985,4744771086,1609510452,6445337607,1641920184,1716122439,6256325673,73237312,7087315410,1785883312,3660768696,2409942250,2403540536,5109169100,341537640,2288676063,1268586828,3932006785,4410321400,3122796560,1499066310,6121817360,1716106593,497354301,5032291624,3704682390,4784111178,3776236115,2462174766,904739592,6946332876,814705942,979126633,2069611688,6927009509,2160636288,4137496375,1441381386,3072325196,3680362176,3338815355,1734492738,3671775675,392670382,8770910742,3145363432,4475839263,2123268345,2463027280,377940602,4197682468,31847163,2201919184,368640444,1693069024,2177307243,949930351,911457339,1797437304,2725592778,5742615053,161376808,3836651211,3713332216,742393080,2555604438,269995055,6628066227,3308376336,4560769968,4758791502,1973735668,866961098,527649535,4432257936,2857487256,3685942788,1342704758,5664855861,7561241984,2718931024,1389226440,3062335473,216475351,4445357360,506076389,865229964,3005408984,2604201537,3397956608,460821333,5379846344,5419151976,537067350,8755458669,6231911416,689446525,1826491932,1833865458,2236637260,3096039996,510142029,1632807294,318559368,1031927658,4191161964,2562229929,1482307912,4990084506,506299374,3208834265,6819573000,7297865460,3401550265,3522312409,1934440410,1761792255,5741620812,222532460,1791550384,76730528,1611507066,2850395285,194974840,2968387012,2972529000,958219704,7876198170,75305627,385150905,450093063,1147763988,5877523072,1996682385,2166151780,3652506676,1943827704,1505739651,4941410560,445331960,4828593696,4314544185,2787759468,154359080,3439090182,38310435,2392360224,943796814,832927861,894605406,4609201305,55314702,3417913485,623273673,358225824,413211180,3382635672,4208832390,199126800,1295138691,113075962,3290414680,305912169,1832344264,7698225320,5811904872,1508701593,1905832232,252255757,2199785042,2323248585,5594733360,156814278,2715351294,3711193144,17150924,5410462938,3793769147,3075264960,3303984736,2393261160,902848076,1015775205,643371800,4464810210,141641394,1871355962,2461452574,1793881810,104545574,2674989510,1183262598,1071631218,923193929,1294118838,4883013695,677201247,1131487415,3266449575,644581638,119463040,1462715478,6789380710,1630714336,2324576632,1190205296,3326886513,4032032795,1671928272,2148853422,1768737748,701700962,866011986,449598858,1824488170,7253830768,4731882828,1537129,3479231228,158709546,1320849600,1526677268,3298935088,3777987312,489866608,905240645,7327035552,2440358075,6852590208,2825013604,1278061852,7710261560,1803337361,243316251,1608950042,261066510,2921651803,1542867820,717033546,27069580,1525195546,921428165,2049106830,2752465540,465444600,4395809502,4395629000,2639106388,1786099475,2373222774,5180039928,1530023124,893986671,1228734760,1654495551,3035287374,1606654368,392698986,4528272852,7673667952,2950148070,3472215740,3774068718,710516933,195464535,4826392866,2080489268,2879698296,8260126371,1905455638,2433823175,2009306245,2478276479,416867582,5393276901,1392587500,2226814720,687119566,5556802974,1239047916,1690784160,5144651154,4238817030,3169179996,3253892448,368317368,2257171062,6438101201,3203954982,2475002612,1345265956,841951600,1550813976,1464981960,2413098930,3424493825,1944513396,382117164,3558610041,2055238484,5068239484,2167463228,1983480686,7341132224,1316213784,3968234397,6091215885,1188563905,6136217976,1504384594,438269016,3699433367,922916754,2086370028,1627002400,6127995643,1406884285,837632900,676576138,3968584599,584908790,1608450536,8741158857,136043598,2802787164,583761228,1124489365,617104899,4555540500,597638284,881693992,457249451,2203750436,4500901800,1842551525,814733696,1209689709,1401636474,7343713448,3067749330,6574554920,3178533606,3429852648,1680836265,1418036607,7627702806,1090695692,610261830,852130241,892049398,2365193008,248884161,3925954075,4832770075,153679475,2777800506,4817107351,8373248010,308499996,131877371,2264322935,5868882390,2392443108,5952372498,128032768,7176900006,930931155,2332183572,4822038801,5325053896,1290085035,2082337824,1854022800,567471512,310762815,643386456,442219535,5701641155,5886837840,437920069,763046676,1122635598,1364740194,757849564,2055681042,2595212400,1937404420,2441778525,1573624376,530647635,1643532958,6935716096,1355009944,2156296797,1574702248,696234712,2749715070,7837382,12885429,970382504,4473464821,2473855860,3472750160,6293832489,1902568248,2982430464,2507237328,1191773000,4572828050,683375862,2317649640,4266536540,4909606410,1614055026,3671918904,4135726976,2113792344,184181151,1652582475,222443076,2148697467,1895408670,2426974585,2054462704,980213240,913058022,971838615,708294408,5235846441,3216805585,5957394696,7422798608,4606570025,220351498,741498144,1094777515,2036072260,636840370,2206819056,2483606484,8516097828,678982481,7635358896,703587998,189497612,3981524385,1526882624,371571795,1823801634,1545978852,290161478,2371676432,1572664294,591965460,535448897,353989782,606727670,3391625408,20521158,5036540304,2683276461,98379396,5338764729,38461832,3127949874,1971994088,428612355,2648910508,845706452,2489349672,3445482285,610324939,740710265,947657120,8955485001,456059864,754080648,618507372,150016785,1328637828,1972014474,2276171061,6440223244,1659169770,2863335240,1777938420,3099795580,2540969470,5245832936,357600078,898961587,8683576443,444353675,1551365066,188452726,4023719562,827738427,8392212621,699356826,1154742169,6083450730,29701884,1033978280,559569898,77596725,603782586,5943291536,1075490940,2052141165,2045032845,2180808126,2439602824,797302285,1097060376,2588994696,5778033204,2182645700,1955523800,4484559378,1201666822,727841568,435392836,6221943688,2041312110,3063230569,1964593296,2132608225,842509375,473108860,2607083778,1009173545,1624865126,2233320275,2167217204,479424967,385734736,4112005295,6050505656,296461075,6169212909,7254923952,3084016320,4191996321,730478070,1019924088,4114321218,1648653264,1442606067,6078393306,1933476976,699164468,1142047380,4578970575,6314764435,192193645,903363251,3539576585,1846758844,5596990352,5671845102,818207973,863334340,7455497072,2377629359,741572288,652040571,1284318082,435587550,100205119,1755312640,1376421024,3217199427,1189071190,3431909607,400149598,1976672192,533877589,540925501,1944799748,2116215475,290570588,935341495,3096275576,5789457162,2405926580,1905969978,666596616,2580565800,1737190488,3227060660,2784802125,1984395087,4600597566,1006432712,440354898,5397923970,782650257,2232391356,1731037712,293014664,3789368392,2846749344,3950463500,3090527820,1647146084,2870502496,567375650,355798339,6022057392,2416527246,3802580130,2636770710,919083816,4937657270,54054259,4308800321,3260955875,7330660731,1304214480,723839775,5618055210,4033047914,3754196136,286343686,1618603586,991602903,4576196512,589843692,256653238,698370176,2048236074,5191262188,2042648524,3794284204,2321833857,2666600586,1600136040,2093341210,4628772882,4312205282,2980091835,779629155,3794539728,662939289,1250310668,2610435416,1130134785,398995514,190981842,2919346208,1180645122,3461723752,4383073449,577688346,528363819,5298738486,1736436696,4510166409,316346535,3543483888,2015798680,1990105272,4638663288,1060447216,1575233385,4927936184,836229174,869180696,385841776,1827362176,2820492550,5251358745,1548205785,996876561,8454242421,267184056,2822793152,1719342711,2035603641,3661102046,2734212965,3101178570,1623869778,5133929752,679812136,4053683580,2920910688,1473458376,3698116062,1703457786,1764387078,516287452,452491230,784019465,1854211482,3480998688,2961454638,6783030120,1825859268,4125123312,2189842255,950770851,623241036,890403899,2141311200,4667847822,2688845908,762873513,2817177822,373137365,3362790140,1813143030,3197524836,1125602868,1177214296,2762972905,2638652720,973075120,2174451075,484538529,4995623796,4744302552,1793137100,1215110280,4078677834,20324200,5793216588,2023560771,810435492,355796784,4046897637,806549973,976005184,1033848021,4088855890,5387692908,2568543996,6780877754,394708408,3854359220,2490175215,2278239635,104408934,1751716740,2259891972,205508610,4534791100,2310530850,206488004,970764537,5655485640,179399550,2775510888,1470451424,1817761796,6795126792,659691279,550797723,2077773732,1379435948,5339500635,857348544,354279285,2682130353,2367482400,5194580118,493411290,1833988765,324643275,2579485794,907666317,3355645028,2480268798,779137799,197687032,6096893176,1682828004,479099653,1321267197,4896771872,3538727944,3464485812,2754671103,3745292736,165287413,644171206,7070173280,2499409748,670167851,1120636482,3673334552,281226075,1322230252,5502554192,6834122946,124515248,2647121646,748805518,8848897551,994782900,2953444360,2608877831,2513962143,803433540,6859112088,2274613184,857878356,706562311,6002160416,3070475505,2475101820,4228323832,972336748,4722210018,2780652735,335158420,1547094663,3219777580,1749962394,436284450,2623264980,2214912579,50761148,1321939086,840075255,1122403554,6382569987,3847042024,3543876108,1282723272,1741571150,1051448785,2480354480,1371824768,4975015906,7003898388,8029293678,6827595194,702030625,958068465,4086953725,843047640,8502024438,1292244156,5836010922,2789186800,1942493301,3793525760,6414965116,4347704358,4225709865,1525478472,3259736970,2376054792,1353275278,4109710698,2737221044,2155689936,2340549615,453319009,3088880851,2232123480,4884405144,1467600210,3034822816,1233981069,1307879916,1999204536,1380555126,163065030,3904523100,2481272716,932012733,1179701475,2351313352,2253136356,41795270,3116315472,248380419,847071840,2677820388,1432957572,3543858850,525396998,3524477946,6417923454,1262825720,6517303155,5993634612,648420006,270995678,1806776202,253214792,414578563,1256734320,2395243092,5089200534,3419746600,2473939896,5114752530,80879966,8990235126,1340720640,556966528,6112634912,1163296390,1906994614,874813425,1669275626,4068171198,356163910,60390354,2873952760,3903392920,1177037466,4290817680,563914308,919009764,31046397,5162724872,301042476,5724976775,1905464550,2590688104,1053480640,75831624,465812557,4828275886,1685795174,132883614,568756768,778174160,1657075539,3075167592,6689091195,2730801051,1386788786,1607838732,3450370300,115011822,3443643588,3602806490,646658400,1382565897,1043453100,2106810747,1164125103,1819165887,1678108260,4539323245,4261424936,6436028133,8396150103,1900323732,413318302,1080152898,272640735,1227277468,286152956,819436042,1466161896,1582834263,3193621535,832169850,1925943580,533803936,1520706462,2143535312,713338367,2681457305,357568171,944615808,2267635284,4210194980,2008753572,318472930,1549982187,797508677,7029961128,5007598854,291281158,452428227,2637495144,457005963,8299285983,404237707,1210763595,1029859276,2960525524,19963152,291225552,2536374995,4380025176,2860880862,8466912936,1887923624,7085323184,3912959646,6696719118,5453792604,5515303518,968377360,2585156388,1298805200,1022428216,676427067,4732121830,26657398,1860217037,6302699622,4501285038,2878137666,3735754752,5693258552,208043016,6527549490,4978874349,3489131345,1102135536,3055848418,828631358,3518716419,577395990,6269287248,880509046,652410337,3807061020,5623440284,7239884904,779935957,645892308,4687490370,3567266820,2860885552,1920912560,6352509519,5384646948,301251179,3940628355,2806991920,1284917636,5110111839,5841794640,3572812296,1559945990,822166779,430918414,1548052044,545629457,3195822726,7015482944,267339970,1495154232,1767426290,1041008301,788345200,7816563240,1585841785,2346299595,587580525,33065933,711609132,4485580935,2960971165,3688828255,1719563595,841214928,254207272,5152288500,8857556487,2621809225,1083681151,2410825855,1515973074,416428736,7926988880,5605947570,1154938692,1699302088,3724665035,2393494124,1354401003,1304094405,451467228,324041076,1414414972,4261535895,5385771864,2496704007,3738442415,637911562,1752592748,212205217,6376744948,2193427838,2380616262,3747815140,5456362350,635968977,204594348,5349423600,45428592,3731565355,1634553261,4720905780,6282797626,127856300,819555570,1192351494,2794966030,3960144124,1449901725,2202689055,1550698262,139726420,4894088220,3557046612,3565239432,1019132148,3335252967,1862083744,5431083819,296332186,327076698,146501153,6831479007,8665796556,108826114,837622197,1770492650,3840705996,654019789,2433648384,101616819,353255590,5336985411,4100271534,3308084160,3647620064,1993405760,5722058700,5870154852,1341361514,230678364,5163346566,3480584335,1239457458,58959444,6554468214,2636539866,4455032580,3979494408,5255172762,1386433122,299245575,985261624,34223149,13288464,1084520314,716435367,936666940,434152985,1649268198,1013889494,719279280,1304330722,1349940645,735564719,622153333,5946683058,4986158112,1306639728,756487432,872036984,1099738767,127374510,1051331552,1880670300,657579042,4467682520,6710872360,1265609193,3719641184,1953964494,1353785745,802349765,2378757909,581889770,4942769790,4454659706,2672694591,2651465744,856067383,1705376040,5550559210,1850499754,5565116228,1731433942,492250294,4333015773,4297056735,1324614852,743055232,2418748338,5657964348,5948283726,4376160100,3131117190,2145706362,829036420,2388929505,118593249,364407971,5471354672,3430535960,4943465995,4713119950,1749477954,1216525986,5067227600,2420540728,1771134256,1869258690,2984644086,2772916172,5682615270,1430873070,243472692,399213409,2788806020,3310538404,4229027082,1602472632,4165416255,2768739519,8381427066,4380882870,6593835285,1850513892,1921034904,3174304432,1270814416,558160210,2650577660,3909913104,3011264176,768893658,7647518320,2061252819,1600695412,1533946380,2099596556,1377506948,2872204190,280144425,1668761674,3684884670,634314756,264308822,1809096885,2435319308,1337702646,1056855656,1240780142,357245536,573562354,4456269900,4626196326,1878212782,4541230218,148227694,2649473814,2858389416,477205227,1044316029,481588650,2576609781,871854978,1682348571,854742456,2745639873,191612723,2315025690,2566014438,1796294430,3512185064,2310724576,1076972636,5627723990,8320007907,3903468280,1648451724,1883913180,1745848425,5450641063,1850953604,623165128,2551059084,224322330,2445282736,1640861064,4515981680,460105232,3407574905,1197873844,2323059832,4582687590,8144629182,4016783568,268927688,5660374440,1429276824,2838610890,2538965550,1194561347,2746802968,2380819252,3808569636,3069525385,4851657414,1371870143,5696130958,496954998,402278760,1682056005,5205706104,1996724307,4478556384,2709871905,4216931199,6103812232,3525244180,6977586072,570821250,1652183848,7647791528,1386721224,1311168178,3208355136,3530655072,7956994392,2556029619,190768676,5605071558,2552642976,402649306,6070455296,38073465,1141649217,1439767326,586904968,603145636,2315870764,2958868664,3480844568,4884453077,5243138632,4516907240,4450664815,1737318798,2631284230,6926252564,841064020,6840063496,3611390010,1889902314,1110229320,266864791,3872582602,3454594308,1237663254,1968647632,1726345080,3105438528,1841845140,4435487335,6673962120,381709590,2547660542,6697044272,1403980578,969166699,592550286,1537365052,327319887,3904897448,4443203637,1811869612,4717902447,2275979712,2952857526,3645379705,1828907944,249839049,2014802752,3931014087,3012754630,1343404314,236158518,292164072,2818916955,1684814211,2970134455,1710799832,588442139,5846364704,2942092752,640918499,2664784815,140745642,1652630336,1963669309,4200670795,7629846282,2660715088,1840424379,8764618824,1530610184,498664780,4298973637,6723629415,3870985700,1245753189,3451074036,4708203785,1781466026,2488462760,4394458350,2888172768,156674456,3226389928,3838290952,231315780,2878586264,4640355376,881731997,2273514496,10932012,1736581788,4829570151,1091780710,1033553452,4171481220,310933577,2196251208,2932591872,2334631845,3050844880,3638476020,667774998,7553903787,7279134651,4862069535,1022070364,3256218430,7784761770,427918844,4799493640,3794974168,468296170,5134176670,4649987520,6622363384,1147993480,3310544264,335493669,1852793814,6761403200,784810437,1759798636,4124089920,100925565,2863157504,2620122015,1888408405,2334433395,5834514931,4222487488,322545760,2000997171,5089051158,5510164156,361075192,934863171,1035504564,1057567959,5307528048,3798806020,7455440336,3560958837,4057496080,628709454,1482589290,2341342701,4762278765,8344041939,5265942462,540451749,384793738,2596784320,1030033122,3572406534,707321655,876318585,552283251,3723360765,411835379,231180328,5488949310,198928984,6234023184,4731108168,383127198,265640796,3449531500,1526170335,593269105,2930440312,1565464936,1876248440,6854554944,894203667,3334230977,6534049527,897800262,1758074520,3862410512,5217340905,215144485,1308554028,2199751947,3675460590,593409144,1016554616,2066630004,735078709,5025595746,3070416048,5265048936,1102051440,4607727160,4640442880,2985237192,795419517,651526462,475990928,1511860833,518901304,2376356876,2891841710,7922887488,967206983,1328156778,4268721120,1843505838,7512401043,2563836072,2444807256,1752558948,3884823488,932558370,7417068664,3257763320,7168303980,2943228968,2646733677,503925036,4835122497,1486061106,820605274,643955992,7529244984,2090759544,4954754244,1214756361,180364137,8366713020,551877011,2061758802,1064615024,863965676,6189192488,424802560,4298933535,2509865285,4077639657,4135797488,2490425240,940234190,1399047030,5393326956,1367550032,1491317763,2887248788,108381456,1544007896,48804201,2181879840,485648135,2181394725,763699118,220012028,802704576,6989183910,7064955855,4974021785,3032752680,4079333034,1846167927,810205376,838155498,4234612356,476028243,3121210704,7583669360,822058566,1436309541,4707477990,1946531134,394249494,296970993,2487363552,4931277045,2052323364,5025187566,4501843050,2156306700,4914890197,1246936248,38821437,1316286180,1559570655,6992827280,1303034866,298305110,6280679718,5136765456,2651214900,281441570,1630790307,216750728,6656393471,3321616032,3411873081,4489839879,684060842,2568094416,421355871,1298766925,839243570,2464069656,2476037080,1547133946,5732523378,2012640225,1357580605,3444432246,2210496597,702220402,689666236,235799383,725979940,3955751055,5005635372,483349004,4950431206,8683718967,961575618,3738203805,2267508462,2185613307,839025528,674661834,638773094,2892567000,1146622522,2107674792,1435075774,277566820,27104480,2867410626,6741066480,1878122685,970522125,2138800390,622820385,456450912,157597266,970529670,308534560,4639368815,3686606185,1524001242,3629834,2995559880,2685485453,73767180,3873307722,5211892658,69580580,548129614,4967946620,6328820638,1123698460,3104605200,5406800394,1936451818,520878154,435573350,221342586,2057500134,4425229435,5033859876,1183933044,32589253,640533273,3518906784,787636235,8264962485,1982509230,1832772347,1784701920,972406336,2979849090,2982448280,558146735,4987901510,2827446276,6277211504,805239180,2694031431,1182891941,6118499040,3594201436,6674332875,3446930262,642504660,1390967988,528722894,7292857914,2606421004,6510603080,3698649162,1119243224,1916116086,3358021196,163875356,2151394344,1201136734,1900209360,2368931397,4086838592,7713158840,419628468,5481277360,1158626838,4248752604,203784586,6875249931,256595842,2853156335,2249129556,1488736250,3056690490,2984612480,3497655490,148234905,4076938968,694379192,1492960096,3633577960,1462212384,450370557,2746426218,5751971577,5894668908,1359087456,5937976289,1752200409,493722282,1309123314,4146679360,3893889996,7955239000,4083881940,1863096206,2784607357,387517266,1299540680,3105751612,635182365,2891003268,348539410,727320390,7143863048,6585858356,2209599056,2343991836,245907891,2026424540,554405211,4919629494,4437026742,2675959971,4612415895,1016790880,342413271,805867233,2567514044,1543682634,1199167688,1882892564,4563674339,1772427466,4450410624,748240707,525833280,923955090,4505359710,242161041,3689315765,5225493512,2009009196,124982862,171841085,4644301050,1532106632,2363725640,3996961902,797661990,2966216272,599364606,2912668448,3988677075,859452300,2250305256,912049844,660106224,2601661748,3293644044,1975430258,4772649984,189175560,1832645672,2668292648,4277868792,5962991274,5599980896,601404728,561479255,3271672692,317966718,614654721,989740590,982653582,253248852,6812344931,37843110,547609581,477096028,2948516100,135434638,1670911014,3679879068,905812458,4895926755,1892293281,5710187331,2101322910,3178232343,1168044876,644421460,831639972,1323660714,3979092780,3281837140,932773058,4263796520,5317105353,5472451313,5455162111,532170743,38545530,1800621387,2975572068,2125676457,403329553,280372118,371358755,313281216,3021402960,2522005440,2273348601,773798000,7245563160,649966089,6529083282,320141208,4538283636,387051393,589622348,6921886311,2463606528,475813639,541294320,1010226444,2940875632,1802428002,1613050411,2280245796,1360918040,991027506,382192920,212050898,4214706438,1953808944,6564515103,2557258074,5466809536,2885097120,2718124506,5828427507,1354538709,5843126960,2846866850,363210065,4709891010,7149597184,27318117,2500573092,5836470656,4376977353,2551873944,7618028528,3676892820,4943998560,3397398064,4026881360,3465108636,3490010400,5199192279,35534863,466054540,102488589,274292690,887803686,864950267,2640848157,2675340296,107288508,3182880295,2087450260,3029293488,3123752775,648028252,1326529368,969374730,4189010990,632571384,939138872,827187520,762347260,179472947,1806274476,7081144248,159474500,1841931889,6566698008,281011932,2984830299,966959454,5200273602,1348807910,7089278157,2897085668,5392615403,2797728488,331386210,15386780,923031442,688851905,1355273628,4880719620,3978990564,6918027376,7323969132,297297374,1659295235,2379271296,829801758,3752139111,1767318948,1524513375,559714865,1212490737,5517351738,3713227301,187547351,2033485630,3704188224,1702163272,2631100192,1511540964,3226227147,4057751085,324469540,6805322464,3174724700,510571649,4208638264,1366793800,2876635192,1046073696,3545102883,704910207,509684349,1111543512,1293080572,1551645075,1260784104,3351773505,3146008008,1377641276,728223135,853573232,635796388,4598101638,1870577457,1155028900,1635451784,441439881,185219510,2021091444,3167435271,2028713811,3102211505,1899477597,1669582008,2278256953,1025467460,196075292,631669923,7787813648,164487954,2492344683,1077342748,662193980,5501034720,2303247018,6379526817,1091510715,4694726290,1247848980,3531713157,6514988396,4192984830,82046607,932014788,2056882604,21328644,5981512545,551961414,425021384,1282674051,1016276406,295135464,2900903276,6561143408,202295224,1888755782,1439996865,2986165852,2011998824,876685474,3461174199,1440897384,2060227053,3094016440,3036604518,4678721115,387845770,1946567796,1295419800,379748599,93168314,2002087914,5799162474,71172044,8057164536,795808405,767418136,490542035,689487845,6563108776,2197285400,5435326176,660737018,1200944332,144945842,7253174800,1065351639,491867656,59557086,620726304,2294922102,485322479,648799684,1174959882,117158264,1248772635,1486009536,3361851122,207849612,1809732785,4835183675,2744775798,1490247896,3586745720,6990440842,723176600,851582175,1146995298,1639150156,7405261344,521172054,1010715635,453334990,3720513980,52800855,877836680,4940166285,1004610666,925585900,225891630,2442341541,2521808430,1095441008,443085275,1392305799,375681303,200425906,2101956816,749834853,125654154,1044185679,1382828632,545460876,524653761,276809776,2537766840,8798922963,3200223580,945836320,766566456,264883763,157045784,704640804,1661568237,1471389438,4180398285,1903279400,592055915,4123459092,4525398736,3845013115,5797633815,4061125425,408605309,252328246,66146022,623195480,6918406074,1458238568,691465980,973853514,744280201,768808372,555690632,627862048,302617662,1786112454,2717216640,895521747,3055685128,10421274,913596732,7720369832,4286700477,1442571060,541870209,978712085,1641895566,875798664,344153563,626948011,247609896,4642947110,725854328,153657990,325174558,1780308887,4041666288,145486698,2148826590,1460286174,2271699312,1673628006,2064539024,919076939,818944400,4476177544,6161686632,1789136160,3350053035,4982933627,4500645264,4565734435,1806265554,3611392296,4495899540,1146445816,4166506825,4116304554,6648670746,918165190,1755314204,3445507100,1700788524,5834875617,3394559052,3235139168,2421275059,7421593120,1833973735,158861728,3390283071,427723193,2317416216,113334739,40439468,1323834272,1857741984,554565828,2444229448,6577452896,435906799,1563848755,3980600820,5741406811,571736115,3321719685,5335664514,6722015118,3810239936,7231480560,2528490420,2681896272,6014057720,1977390094,953985258,4246743717,2195182344,6892133600,2812689891,8440886889,1014798055,1394511066,2524608105,987692601,3082221102,887285650,5670132468,6163347330,2554444032,974595030,173272653,4174638219,670044131,693053842,6109653816,3294084816,202330100,2007924849,1069454012,6441389773,2008714839,856213932,711890418,5715431286,1847763942,1603042692,730608184,986954919,3856702509,384052251,986670288,5932500856,1915016560,76302876,3577305762,2210869836,83398653,156106384,3020805702,499799274,1053794540,1015445968,304376443,2484720504,1058692888,3527335776,1511569920,6552140602,3123176720,2050517112,6486651018,2188388373,2759060304,1560188738,7489061433,7805040102,2609404176,5946275349,6769366720,914232400,805195896,2234251640,4556456282,2011185171,2540983480,3049299171,4913464962,2054828181,4234979232,3469588266,1243015235,116317244,916550436,221049592,6153973112,2692828138,1295247925,447845940,5864280429,5666470119,2256856952,83201356,3990106960,1474216108,466562214,4379888142,1174726476,1055940695,1921773165,682341360,857465992,611757183,2057976764,1255128098,2800995582,1651875425,5703085416,112700136,5809893786,2130652815,47812067,78071020,1011285300,2665677658,5890405080,5392531242,584056832,5945189576,658699564,2888992899,9062132,1877088225,631716716,3061592805,624763584,3790409706,2832277744,7095564936,2541137670,100329741,7267810536,1222178766,3796488440,1565010777,2888032239,5798713347,1975394928,2371863860,2185589764,523027668,830887191,953078850,2076191574,8817264099,1228978605,545770695,765927351,13697886,2869709559,612014388,149258673,1850573604,2173300623,2987417912,1557604566,1552443429,496422269,557254696,160727289,3378925864,190277235,1693854496,4301396540,420019073,4949059452,3922965306,5752214433,577452020,2623906206,1540014057,5136951561,6153340176,2201463271,6549357227,1069331826,2722048131,1373619636,7582722168,1161539997,1211215266,517160958,2713723412,858861598,1407427340,655486874,4247124810,3977514236,7530555204,1999015444,8606514,1511680382,1351372618,2846085692,5721659730,1525737992,2648671110,1104917004,199247818,3511830296,4909186995,2044590084,844545779,1965248876,6845737860,2670284095,1105064928,7993296368,2149201782,861590872,173594766,3205948410,2645574255,2625335118,2421843741,733365983,1787582070,5358169306,6241693672,6818538501,2058534424,3932455752,2146482210,4257549279,3241694967,1235858050,2257583394,196023677,5925536148,4469475195,60845615,138459442,3649904950,4525557134,2170725360,532509810,1186063226,2040367304,1703448112,7912723832,1655053400,4716721840,1582957854,3278081466,1673518407,7303018104,210301516,828677907,2409659379,5895251073,3545830314,956716365,8233140969,2605018112,1550915529,3048464241,4923111474,2916146996,2295943325,6765288084,6083080632,88997385,1493613618,335758346,2350216590,631248662,5087870305,552751237,98878776,1977708670,4388879244,4878200538,1457625225,832983508,6882705664,1696399592,3294006039,946310367,4165567308,510926565,60803880,1690705377,1614052765,1117984312,2926298276,3568339976,1685654984,6349866278,2650398135,4294065905,4167384825,1206702138,6948151317,3352262600,176880645,1459468692,1090803986,4735961040,6927560775,1655731390,3042510975,404972906,794047328,1371706076,8171783316,4852800945,1612835571,2106748413,2990188445,3923444352,1509535002,7228074816,17081346,2417077017,915483378,2146288500,1248561813,2654959235,1518082248,857033830,1962380938,497746748,518550002,7702634106,1342235185,393587032,4009740894,588527266,2986809856,3122889088,3694374615,4121643768,3045781422,2564369481,1474707568,611776697,106395276,1736898768,4305355080,1485191024,2591797398,3475928824,3593914317,291265198,491580570,1912617062,3226715046,1036516732,2155981995,5953299696,174754719,4453929945,4109059355,7635138066,5336637714,5445449499,1683967760,6219160794,1558571810,1802043945,3874565247,3465175464,1321023040,1425996192,1358091018,323040003,53176868,707464896,1828547778,2442430532,551059,151551992,1300190604,864069561,3307665824,5460866073,1632956103,8404072974,859697238,303690438,3145761312,5926078218,5365207914,6180151482,2952695718,3984943120,833132316,7596803216,879275929,1123998170,1180529418,8598418821,8088810687,1694979339,1002414388,627099405,6332048901,1079725480,91982583,832091282,55069238,1334075918,1624720170,4546960212,504248752,4101297168,3892692228,5897797998,6498970164,5119513794,2693351515,272228940,768326972,5591414943,1223936991,2226748362,1853362968,640551217,3846614488,1293647385,3002166600,2621050348,4395682416,4590215935,7725646104,2506634010,1141347270,2428414685,2874309069,5706787194,5934661698,7189706367,2611339290,837958010,4418800008,810743604,2688537615,671089980,5249080494,2287424088,3964158894,1106912004,1344284744,5868671094,3398868700,446961499,615047744,3215676184,1561577728,337386837,2918008650,499380340,3641844906,72746746,1514817022,1860027291,2990453064,3316703425,4404229350,765658389,4457103705,316529348,3281596746,487818748,1291865864,2853652248,1244790832,512051122,2338006536,4095672288,545060756,730862974,777454348,3518214405,4565974878,425344715,1133747151,634533938,8764262568,8494615350,5411814240,3562797217,1970977932,1755596954,1654252436,1676424824,2846329128,2119395189,629450652,1181749248,4460175315,351405546,5939420352,1165760972,2750381056,4038092560,5273985486,334431587,1544080888,7142099408,2363369811,613691642,2479979404,86040504,8401338135,1027032536,7224345567,2347943040,2522514720,3779667032,1964172372,1551250776,2950164003,2290325430,929996370,3944202542,382811432,562771862,379074271,1235232740,582818313,144106676,568036971,3797583175,7568087440,690618140,2351805858,791038416,84749634,1043824694,2500598315,2916678465,1136060583,1549384500,1862353398,804043698,6576393628,1454847292,1592410689,2331283815,5851132146,852157768,3769103584,1101377172,3763846655,1852779160,2931097948,1366981850,371458769,970136832,5977613478,2303872686,2774540076,1399805362,935501375,229180133,7078534668,1961636298,2524211039,231127073,1666847120,320591810,985172478,7026406092,3983541162,1342765800,1748496450,4039929768,1614558060,4446224792,5923174140,3789141200,29398254,2556682371,502296268,4392278340,1874417240,4296017682,1589142771,1041377355,4336852338,2964800244,1955413497,1464043918,1153641519,4163840807,2664840692,3460909428,615503556,13256052,1987981092,833590224,7196246248,1473002695,3594322920,544308210,247135858,2346313107,3767544693,3444239600,5290066836,759027799,1282298550,3603895592,5538000546,3654586224,6590581361,495373985,2714086602,1569961568,832701335,1120046704,1523588960,885186001,3707747757,1863575616,306375162,7265343112,5706403976,1078194042,6970583862,2037392748,764484063,1170947871,930293056,548573780,2859696081,1287998248,41893464,1708380492,5795912712,255328575,2734578468,872425245,1945990974,3139364860,760115082,6337753944,2052687471,1084275399,818189198,3306881792,908773574,6357279243,8161218630,3560688210,8369576865,642006987,1594494962,3171857171,1333315200,268442772,2029040178,719431296,1466005677,2709375312,299390732,1720439236,5006702997,1409405508,1860601188,3028051240,878786008,5851134018,2558837391,1764986860,2822174061,632430485,2481930210,596979891,2913383790,2723179396,166969480,199413435,3294446880,3233963698,6898260684,1404838518,5755929340,2068869430,8097934878,3751546149,2119366944,587384944,1423984232,2203178607,2237559416,1643909397,1854105048,474227510,619743832,765228842,7667976231,4345869267,1871854452,4805416238,2433981680,4011228030,185575395,862186508,2297014632,788049156,4857681375,2700909933,1192501882,988566534,710765986,1670715765,6055255928,1046281888,534769100,877134816,3533979852,2396506236,2964156306,322838390,2462182224,1748406472,742110695,1802292578,21570264,5327922256,1401105117,4857954633,1296605723,3279012952,111624567,198979406,2577068660,5247404316,6991396685,1627985916,971120949,1892548882,1512433220,4638404480,1220040554,3811630392,5070558000,2009576890,628728908,857110080,1542460746,3551282273,1263846560,2365721802,5128543824,8886642471,3043840920,247340928,2991634680,1089616916,7624515528,6036177448,5715048675,1672032510,2736000540,78924016,72124858,6497655164,738500418,5791095576,1679311302,1072093512,3710260925,215750780,1794836940,2985687171,4358601368,1925289936,3034831616,3551751654,7767035523,734622264,5307915609,1264559228,8452670373,867823065,5265808008,5684921888,6740072864,741656636,573458403,1159582890,564807318,323544668,4096175670,1152773196,245215770,4736824752,41432549,938591172,724148307,4281202114,6108391575,86302353,3179367620,4310551161,6755621488,592951878,261873531,3721332594,99960124,4582261854,1325655876,226500692,1398345884,578075909,5476265473,7730581848,163726496,1966623826,2477400611,273225336,1871700368,1743596936,4113054840,327726338,5486712560,191218232,2174297778,6907109598,4616855058,894358554,8909682894,283184172,850815024,3690756696,3201647832,4905608696,724699989,1458019656,3666963148,2072068336,884350818,2549678988,2738694916,2832966240,2434487754,1723188372,7859877072,1905682737,152487614,3399883236,2646331872,3372411870,584729944,3040014684,1684770345,1361685174,2243709777,4849026365,4410538821,1868187933,6739488544,7459243713,3857114355,38472154,216135096,1020608938,769988150,4876045840,2186848863,3979076655,1758575520,899437137,975529856,3474409960,760954554,2947030645,861818076,1607301038,1232905910,22712514,2172907425,1370504886,7322919976,1817892006,5204187136,160551864,4164655770,3514120701,3401864530,6388753000,2641844613,24461072,109371892,4115624830,4482720858,1160028541,1478261000,909820574,3850209692,254888769,254754065,483171609,5703975284,6495153264,1312829060,691858268,925820697,2069652300,1075103260,1001416094,595423640,3506665690,4706670310,1647212283,4530473689,230685452,1702569840,2467399794,2595206369,4033460613,459467910,189692896,4853912838,518836707,4719366204,100393251,906725379,2302175349,573723028,1637036556,105719418,588731190,554736616,778093185,4298478808,314140754,1556883364,1746300684,912283161,116165530,2840939508,5615559744,2236336588,187734814,3359771793,1211463264,731443536,2827964382,2644288074,3366350937,1696471920,587292588,1446831328,521370828,234715584,1508906704,1227754715,1516869828,1597152064,2372379936,3712088261,8149649,779772268,1425936722,2837868866,1667728054,259546711,1660975356,356543555,3730640964,3523406319,257258152,603051519,3679999461,2858449535,4864873032,852568756,1688012109,3620562175,5813451480,3643146837,5061975048,75186752,3992343698,3538059320,3530974230,1581966014,525663408,3228031212,4723980730,4884683398,4643782479,3338843292,5931381946,1889185614,7487815592,606817000,5634995454,1953602606,369457122,4478809896,4798156656,733088232,709076040,66993288,878432962,603937241,528526136,8049662,2239873816,7115054580,767633792,1410939132,1801077434,1898704056,704084496,2402231865,364460604,1379961210,4227373125,621979444,2899525874,1846625412,8511157215,778797833,1089311589,2651848768,3694495840,3078706626,350688910,873944104,476146576,1213836520,118733112,2797468224,975608078,1740767290,730003245,1730069866,1172691724,5297765774,187352274,432235234,1659318520,100473934,5943096280,245615000,484526304,3564671050,3239677147,39483045,2970993662,7427360952,3414606912,3697750030,634932872,2419756278,2122837852,3986040224,461831802,95346972,2426836284,587419052,2236177734,4935361008,1862667232,507356900,1348707402,1810414020,607293745,4301597405,2653360146,7159244592,2217748446,1886664486,2397828265,8748890280,4770943163,3882342758,189097701,324938465,432430866,1451564574,147726654,1949027121,3120133688,7772733936,775973045,4960661300,2897929744,1060756123,1346901123,425960428,2388489573,658217683,2358122392,7694734064,2176597944,5915196224,2744840037,272043086,2523015408,906855246,446901060,5570834296,254282324,661402756,1246981320,692339688,5327952854,3094760259,3774012650,622573186,685048869,1513070472,477064851,4032906534,3818364164,97186344,611036659,6418014848,311732685,3514602843,1067208464,2676743571,306524619,3495889764,4627513965,831439144,1433621946,2849165556,2488857144,704866510,780291505,1857204130,3599335257,7783340958,963377315,5665800744,3795756096,448455122,6075020466,1472450592,911409303,1125347823,527797813,1594287476,844247826,65508562,2374725906,5196740773,4386129980,5284167192,873929954,8961797520,4815466105,5420912889,405758180,651372449,162655542,771287211,3758014710,2251329560,1931538665,67031885,244017873,4202392760,1975490764,1757359358,3708944785,947183094,5417373699,4840196094,754651572,4875532173,4205580432,7285995216,415801279,5590640580,2704321872,5628265659,105272250,930217034,4136539696,210565398,280314225,3195046775,16610148,1415049231,8912869506,6061203135,3927767472,2043614370,1705411074,16378605,2030177448,865852236,1560986200,2520405706,7191199728,3623968488,6553343472,6744709685,2266243455,4072689848,2146431755,4348179120,1490896041,785288170,1246679280,687057063,645170598,5620232975,3777227244,4190231994,602542818,720744877,2277519695,4182198512,967451586,1582832152,5119026003,1177191348,355754692,139853739,5597584000,540051890,3481975868,6884036982,2393565603,1345497656,742456298,105364077,2258603248,2043234108,2453169558,3229765273,1455889845,1415153370,3613701770,1095818540,187257238,943873035,1854014362,273234153,250677455,1021892715,3815638312,2319364850,593098592,2139219670,390016313,3817002960,4726768248,393568483,3719682006,2233534770,918021084,676575744,104654312,4793357930,1039114362,167170910,1814858894,1123599306,3709708788,813073253,293479480,2001872635,750083076,5207010504,5264292256,2606318915,99315150,1646415322,2153687732,5790301909,2318709352,4458686946,775642716,5500313172,856955994,561118521,550145904,2338890561,3797793391,2942379985,5795959986,235235952,8036146458,4917241147,2204111151,827938828,712077714,928069955,961216662,15824691,1046744178,5563378200,369155502,5879613096,1022803300,1782290956,887513746,551213703,8766004140,714531252,1943447500,153004784,4787716355,3379328545,511630283,2803590165,1540106292,3473429445,4854182400,3812208565,1554792354,4727796705,3903254880,6060039273,67826910,2837152216,2271023022,2170316815,279848792,861939068,698727734,556020201,2474960472,1480831163,2350938415,4901390975,547103906,1578685150,2083170666,2592592648,968883024,5441168970,3841980856,1955425620,2401055880,385406559,1412425008,935105461,1008363424,1231536840,145654327,3360579138,8588254086,1324577586,318385073,1751424876,2240677938,1946068173,2543400297,2785107440,2884187328,2342407010,4521271416,6167298303,1231391583,2013438156,2531179064,946287594,791890360,1646708568,1650045655,680734248,395324301,3633043590,1729424334,601824132,4045790826,4217330478,3471217568,1609731652,4021351680,4305972265,2357064619,2347928961,5676303745,1251911485,2882671770,2392627596,5860532090,9085524,5512921116,4108579090,323439457,4127715696,1006871100,699753990,626627124,5621580632,2125198904,1031797765,5975170116,2763413380,1002836880,1946244408,7963461387,55329137,1833850360,2742725255,2665238952,992905528,3780980532,4917336325,291571642,531899458,1015971600,4691243952,114658524,5653883480,2774739198,612086498,1357550980,1958279302,1982190441,1874329462,5932944577,5329252896,4364837148,3873048705,728820306,1688060844,561090888,3802333552,962957308,386966447,838520053,797513655,4668175302,1517556600,1260730068,1648843304,2682688692,968543059,3185911224,2149349620,4434314928,2610067836,791105773,563075580,716662449,2048325426,4616383835,633283080,4077497785,1878667294,5742710001,6553165040,3912887432,30600024,1006681226,2091380348,182921967,125363943,3443905440,6194039472,2467112652,1874647264,6550424496,913866030,4699605888,3919993343,6990676767,6552212868,1915361454,834588258,1585779756,1885247406,1739344076,368599984,155235472,1699246507,3647128072,14038770,2802908370,774708459,3732277724,2826920120,7908606315,2188671672,3839219027,435191760,7937507624,1478624154,1257829146,2464451080,7330865490,261733653,1631395230,327378233,2865305166,1616446098,3551899645,3002988163,1405195779,2979029544,1193161782,1941837054,2205756448,5645544,5821456842,2844097644,1985660131,1667875098,4692200346,430118328,93890632,1819096088,1412098985,1114930944,2949242200,3019723075,1643679648,113046888,3920766712,4143674770,1065922480,8073931275,2224282386,7120281000,461570905,1844282772,4452221620,4173252992,1042434964,1456709535,1129839270,5637812430,429118412,3520911114,925034664,7447827978,4469714284,2916421064,2431904470,690824300,2501623281,6819661072,2195408536,2136297483,4803954967,1311257330,1516171338,1540487752,1636355185,979472682,2822189515,5883043632,408077050,560214906,1642114086,592496436,1753123981,3551180120,473707120,265950710,1104684865,3727219230,5376871752,172794117,828046935,1798165452,314245089,2704499748,4889975940,4645348275,1366405458,3685246806,4505807656,1903825572,384477004,4961903723,835542222,1660724226,2748791052,843618342,2777691600,36883290,2231221432,4564934368,5238479267,184141884,2113643787,4369041930,985871748,3147268608,210785850,186069922,4191708388,4896356,4967838265,2838400818,1136684815,1595798658,6312978217,2657067435,1773072428,1690051936,2970252852,1863049290,1044978016,6799798160,3998583300,2015133084,1103411984,112083877,1185252925,250113894,1882681535,3040194283,6844872951,890084951,1905725087,7220272216,776493909,70767744,878892665,619495437,3316716156,6436991981,355607406,638354088,1132886112,661555666,4759773392,7392293739,2231263545,2667422590,5286321171,83744934,392364150,842697378,3660904938,3070920972,906488142,1365906334,5870159141,459555514,5075637756,182861575,1948876840,909086416,8560385235,889251216,874270660,1607051802,581011500,7847113832,2602252668,1712496690,968464452,545764479,1247490216,665527278,1256808120,1141522214,3025021816,1262093166,1233593898,1942722008,1896840040,1504019942,401125584,884576676,80248788,1953492855,1960137890,2456493480,5443380828,5285186396,1322937386,3318633567,3539938892,1690913712,83595774,705428297,2557439181,1615033410,2144066076,1076382797,7931770614,871110435,3577442164,785601194,732565604,642341280,482126026,3853047355,1755067578,681047941,2018949402,5762680824,4562559198,5416130556,765659760,386874218,6275048031,298054014,912095800,3905758086,1131023369,447750782,569986396,3433080748,3075848664,902355150,630861250,1317254705,145846342,4644027153,2671460386,1407312960,1224389376,1290091112,1992690156,683492377,299715640,1557013779,5763488103,3227056716,2343281297,7974965592,5020731108,2455993170,1638531285,7813079343,2323820220,5813560968,528653572,243703631,960039216,2263277149,805517124,2320585820,422698030,1964674236,354976141,2085127116,3489588755,1488755976,2289689448,3550211273,10738890,1372348368,483064881,823597804,5187540337,928084872,588479104,4558993520,125496610,426558898,1356452700,599199198,334158437,3345576472,4793055894,2518033385,5577569032,608709633,5070907807,1090267652,471440340,5823372982,3316493887,1992492756,3718634108,1536423930,4921618460,1034747070,4203013304,3808918896,354179562,3426618375,1231558329,903852612,922643622,5588993123,737180151,3705368712,266295740,1663515462,5521382432,3914190392,500374661,3762807461,2602242020,3360296850,638403660,472455847,4435266135,5107981354,451928084,2363640992,3604250512,6733865637,395043664,4753247358,690937362,739955702,7839124164,5401921644,734072615,656849783,2058240510,3904709946,1636909278,4380871040,2403845492,3860123544,1377560894,938326076,2910805344,3449513016,104749280,227521203,8505208872,2275806195,295035213,4838121660,1325402436,806399696,1866665608,3899165232,2519574897,4280740443,1242081948,1116260084,1211207620,3194396700,4377077464,873181494,421447064,1193451119,5157285786,2215471724,3887241875,847743222,8032643829,1832101492,7220211456,5654376582,6868832192,4362172140,6271395060,2076890428,2364658620,294470303,5781407275,3560817440,4064628704,368638562,396476074,4815094885,1145890926,1333300490,569262987,6520875280,3073700850,605650767,1018024170,709440706,7703413047,2199452499,4959092610,135730525,1127583675,324733100,2687969660,457226660,644669250,2768582395,852259848,2260766040,944831668,7364305688,1582136552,86432460,2609946835,3981888096,2232668295,4253719430,6211582104,5127669606,787138180,3068897307,2735088520,4863687018,4731821175,2952970720,969399096,2920787975,4650840704,691376067,3113660736,1330403694,229236560,230217643,1470760068,1360202332,1278546903,2026158534,7292554768,412087177,986882106,43792071,896922192,1574493310,1794397822,2539137768,2108354628,349202624,310021470,2105433306,3156149034,3403573848,6903894340,3626957360,4678464795,1920177264,3774669800,2905174329,4511098320,8713985580,740216824,512804256,3169300257,3407493838,4951185778,3999994105,1246817160,3702744315,3041206086,3373956944,4869780090,4737911300,1089139130,3181634840,952380132,1652083323,2677282368,1797988242,1353113538,4040113973,3182721740,2719288215,692266008,7556649759,424275016,8896318416,4916107525,8529218352,812307172,2998624188,7433917191,3943582240,3795873816,295950222,1066514316,859660575,2822951634,325034877,1066888300,428477914,1019173800,1946366176,2272977184,927042603,595729051,5255453770,2970628596,725856232,744007986,1326217248,2085722880,1567027344,1741936294,517365713,7176199140,1757708634,1610015090,316306081,5493709902,697475160,1130618328,1343537304,339356884,6290660558,1760195022,99746826,794586956,3696078258,3728119096,2669337760,1234769735,1210492689,813904035,897879685,5497418808,7162751520,4804465016,826446080,2747773467,2402720855,4902507740,1461805324,3013947248,7901562856,930332326,1227302360,6490630972,1509140672,2131715547,322472568,320315880,1990008632,5826472362,8856220491,3736765976,594239466,4884456096,1891897494,1085335085,479962164,37767371,1521949185,279499894,1984467030,2233406994,5604044306,284296239,4282465062,1004698992,1440858110,1903627022,5614903686,4342967216,2610978570,2190471570,3846678957,177607938,2515956184,5307509448,384640418,238074859,662845579,199190750,371995276,721910692,2544690714,3152578372,1664880108,2879053360,422774743,706146280,1458581649,2489862,3804636620,2483642634,4348795400,2527016080,935126604,434732835,51561888,5036600456,1168901340,1848919824,5248583694,2450101644,1825288350,5370934360,91830402,4356865926,2893459656,169778406,6272065597,2768538348,5805997674,493513174,1118226774,862858243,6986360150,1120782544,809660596,4241921823,2992392705,4929908104,547682656,3272563104,3688456920,3877360460,1675013264,852549542,3064790790,2302878508,4375197320,5536278237,3872710528,3206650285,1890197200,703790616,2685572805,5574691430,2947333788,215781244,1024208739,3132834848,623869916,2792378520,329328364,478869400,727909660,705201330,6191058321,2323881324,799212843,2852424714,1424857768,2198452422,2296652802,2542927895,84559884,776686831,873373561,611212070,1054344219,7241915520,537600564,2970791490,3546810510,824710404,595066038,1205673417,597608082,644807809,2231522728,6594452820,1483925600,1934676064,727488783,16946274,688098840,703181578,6713360297,52336294,4933590777,2860040871,1941344292,517612644,7202240676,503795688,3071551791,4240850706,4457412786,2518298883,4669803942,1850334906,2503194606,1812036324,474520856,3743977432,2022946656,48916372,229285997,1092978790,1198681083,166508316,4650883230,4480434585,3269079828,1546431081,774151002,2073556527,2846276955,645866270,3491745684,1303693696,83286723,6043335516,1794266122,3459936536,1427933454,150512313,730654870,5376159027,1320176192,4753166586,471026200,421270727,53476094,641994360,1939984216,3602679066,6054591410,1913575316,4268361650,139032942,867202775,578505744,474540544,813195285,2300847795,1279435200,1766824974,2216752785,2535510660,1744243856,657552474,3457239920,2393334873,3681383733,2882411270,2781790125,1771327400,5854201776,496391858,3343468656,715863157,386499309,762570576,7547915128,4386983877,2113056550,867030381,1085278380,2296981710,669080160,19637040,2975252625,860030005,899213818,47814720,112441536,872933695,1291010002,4137580266,1449406676,613085060,1036423968,595935008,857923829,3250396592,247990108,1977960806,2461095040,2766492024,1968885056,653282666,1946590665,2972676536,372905,601028144,3890237305,4805561328,4159518075,1288922452,660253980,921323766,5653937232,733160268,1085870080,1849036740,2764860648,227304645,2711586916,1836675428,230186898,3257949354,108460710,921655400,5756383980,4406082600,603618509,2574780963,538703040,691399000,2942915379,1067371338,517399772,2933710638,322111586,183379780,431768088,6673090149,1271033748,564356779,3801229356,6888348624,11863572,5192581814,2062366686,4293397488,5645982834,1294304184,1437694092,5775054903,2550809198,908552075,2510430400,661275754,1074274676,74506782,626003810,4913110155,5895481333,166645200,183834827,2799049434,547684404,6830274232,501537732,3667004195,8700198642,4865426445,3530817871,1128620804,3752249632,4265248965,603351895,17301926,3277074248,1372681424,1597835640,7749312615,1638448542,979651603,7050172356,1829679484,398917566,2713119465,2171917305,612427588,2426856594,347132757,2442804666,235641030,4162291130,1822968912,6415252606,1438692320,265247492,3568147788,3266753036,2077529979,2542923774,2506913052,3141582471,2167021252,5090344569,641017131,5847989644,2901213396,4049527284,1985126052,2678685660,3317477157,545962560,5851458192,257414570,1902463218,3102509260,2395841391,1376854762,1579461120,1297144418,6972535948,2773654780,897815946,5997134904,442354795,4832677233,3466780332,125137947,486430968,814170030,557313484,5863069176,2827192530,2083900652,278681078,4234353672,4247304360,5552333346,314078511,3042822648,2880965568,735043509,532737355,1152047637,1659771256,2849509359,4970681856,548634272,642736404,344068731,3259224172,2536964212,237709388,2555008722,2843336356,3882738472,216062520,6623555076,1620060477,722365884,6806859760,5178666438,6333182901,524283279,4538969793,647606288,873805829,2145270211,1328885076,1736661745,4378896909,4267850818,5699993831,57513717,76269128,735353892,3793133840,2093417000,870181062,58830443,4288164025,993233710,4509328,2319292206,6701074551,7242604208,2826461556,1413433008,2218166448,2587881424,5042614836,3539231705,1055226381,263037159,8790716178,3122327142,522101018,1391524654,1496056750,2106762444,863005224,438380067,6649128632,6239296616,799417388,810093864,5757611496,106867465,405179778,1746661005,2603826945,1602199970,6868867744,588870814,716238122,2923976152,4881653725,3045360348,552510681,6882082614,737871264,1212619236,2954014023,1909003970,28893178,407039690,2637505110,5254142922,1943458830,81739720,1789840338,445610350,3271726302,1523627445,1052217816,28313265,2288644878,1431579276,379746818,644109612,605810045,3197782715,593281862,1997233885,6864909996,2691405078,8934843294,606210240,349428498,1717810728,5278909808,3685006948,6213960858,750143792,1898668622,443670461,5172005295,406797418,245179254,833059347,2274813954,2989900112,334908484,6180684705,2446309480,833118590,583401064,548697072,3377439204,1940324205,944200024,246917616,3675091356,2026853790,247898145,2013249771,3091890564,1073221794,676547307,4485936960,1023801800,1668046170,4351949175,6187149759,2193584300,4480665498,1782689744,3478620015,2222154873,327659960,19389064,3199548856,1060481025,1666929411,1808993664,14274330,1081060548,3879011744,134338762,6012702000,2600390334,2837968767,2975651487,3345130220,5752534458,580160640,1883912448,4120511085,757130580,339169940,2629734443,2585989308,1993866824,624049758,581722932,3518818720,949616676,504847124,681864425,715448944,1162956660,2636574017,1229076462,2619337794,293657766,211156188,629270424,3566177000,3579789735,226664184,52542076,5230859578,3385887345,3675783380,581669688,690410332,2954668984,3291319520,421824592,51658725,2892358710,506543560,3628251277,429320444,3534088977,971514345,425424690,6376173904,1560274180,1275878265,1074748932,3023627040,377861724,3740248578,1805766370,668812860,341058240,898070823,685832126,8311326,1703749584,5194102,1570403778,3425231442,1117671345,2967787179,1049386548,327290670,2991919890,2760188565,3119144910,541452787,191745561,2628643818,3380340525,1398662670,4170218496,6972482763,546327672,1944476324,1625619796,784502433,2221465272,744116036,1464838518,5781699328,1794556602,3233239618,839388988,5402974476,856179318,462978019,1931405660,5882305284,1983996555,868795487,1782160550,518691152,1869790116,933813651,3614993216,2986762878,732453675,326898727,2786814233,3033054018,2245722648,5365664255,836242668,2489829452,2680519791,3869334858,62803639,1897072638,6068562276,533126040,2596256376,3791018904,5252485746,1769444110,82282804,5987497728,10509344,7666253624,240522792,7193594979,5972883774,2693987682,651623328,3354930284,1187684264,2812400464,1041959973,2543285130,4464025256,62000146,198027514,1008069624,3809444376,4701728465,4178167407,957082625,1247984008,1405346020,1023450264,194177250,334909472,1066780530,564923661,2445797276,630260128,1394215738,481133115,2743041364,2746950294,505235523,3150792950,1213776762,3935773308,731704326,2892447246,1092061208,1054586736,4632721974,2390226714,4078576134,4272089665,1858127625,1953666392,4410520794,1738142329,1043052508,3769988724,456628896,2482297576,912084105,794296266,1173219280,3888404664,2268836090,3511645468,5904607185,1773899772,2753949984,1124674716,7817125616,3821446530,4580109989,426769133,98996722,948083064,322315524,4708895120,1764680008,904492638,2529372615,451763399,1399731428,759810202,3585736065,5557839246,5451829808,1998233936,2027967464,163989262,4461148045,1471378983,208685740,8156999331,6232976262,188286606,1334652280,309256782,769488336,1325732312,1275228171,411153164,153884841,558040962,3471131956,443048814,4900347576,1248565788,432138886,4196630142,4375592050,3375312227,75809698,4892233041,761581432,304225185,3811335635,2642948487,6228714600,4128496205,5435126019,316649854,2211571656,5231427648,47903452,4843870843,5579709012,4100974344,2211700,3339103124,473722923,392755647,5152273161,2905010220,993982838,356749724,237623045,944553624,1270793724,215884576,351869104,1508603873,4389975114,5720445423,1485476091,2463788595,3637839704,4886503317,1887770188,2333024080,4702176006,2949928056,6524515197,2185849216,2332855272,723644813,8767116711,6821444313,923982207,2451635730,4709515776,7367011696,3338947539,5214567492,1048536860,7893793992,459053800,3970596172,86682582,428022126,4909075800,6951560546,1437616720,1959664118,539488443,5276253780,358354016,315976251,1326470551,204305890,166132035,1440006894,4998568616,294481880,4155080427,32233019,2534039120,1147279500,1382640165,660414164,1670547009,2706003864,1488881640,3174477635,3707815036,2758330165,790227657,778074938,2854734728,1038360822,1940075389,5214728484,3219512650,7817792296,2813940678,1012530050,5515503084,1573978350,5557642536,103798605,1493039769,3479180688,1313146806,3644799510,3338546475,4289169360,2957370768,1057371612,1926809972,3683452104,4401207275,4062527750,668994484,174537256,155348589,748092252,2540609892,1143268940,2426112729,1357531455,4788772182,369190170,268921835,1326177298,1145363496,2231304576,88328814,1495475100,1460310664,3658613200,1473003528,2191623549,906289902,6224069124,1891592605,2732300368,1858804005,802472356,5832176800,1774242558,3148764312,1510727915,4951864610,556852572,1241030748,1718235234,1126397972,1954492522,6769827972,5066415162,4381852380,831336668,1389179256,4119477145,647374332,1118367775,1556691324,380547511,432456436,354334918,2895189304,4527516456,3271925706,2954195853,2217008110,473108678,5298544107,1220155960,4767898236,416372414,4429132688,718337504,6755976752,8586117252,3669821815,8117612370,3593652535,2400604324,771450614,3231626586,679765394,1666168668,2062528340,7791156972,1194950960,1409725422,3656295315,4468298496,4608174564,1941453189,2887604784,1090504864,1997694690,6359799544,2366647320,257165094,477989302,104017659,625224098,1229404952,3418977492,1378132212,2823073328,6100215496,2957838905,255237547,917045448,1606464262,1852626086,995459481,170757583,688488136,710604885,7631254728,4770309072,2540223264,4429385224,717500836,1180075880,209182362,4337596214,7130512908,125293319,812792666,5942281890,3648289050,6498841113,806415996,5793827928,7115660456,521626428,1775371658,2434204717,667453751,1745876972,367631018,314986595,286162023,1886689512,3901298264,3602905856,1265095940,5282405388,2482820354,6645159585,7564696176,555007730,20446643,352271370,2629946280,5165983165,1541432682,89167331,172803633,297237846,3995789308,6473630072,1225304005,3544201275,5300089634,4088170908,607757292,8492461722,2029152725,4991057810,3771324873,3815863432,124264158,484303004,2978906574,975224658,4023919004,490062736,2360365704,4141182880,485322912,2040802242,4455596992,1711949568,2543264715,914023386,510181098,726711142,58976400,5008470166,159607435,3697346425,1367660016,7506232872,2902759947,1431827754,6366640256,1517686425,338479386,4052579370,541775640,4365559000,1939361284,5972737968,5759897344,1096719785,738316723,4764093810,3349639657,781586312,2627492460,4563831744,1067408248,6941254240,5036467758,479944413,6594860524,615132966,3487018596,2183467545,3793599666,157584246,2852078952,1973689992,5579312151,4556117502,1294308085,2107181832,186946248,906425816,666672905,5359203352,4453507320,1018600722,215323254,295855992,4108397165,2969820775,81153708,5977152279,846818309,1025747709,98924448,1202329964,146754225,2516372940,6282943440,436354997,4323737255,2724193064,139809640,3394577370,5894999832,5923584696,3190784826,2560921464,4610084520,142401775,1877081562,167617624,2229912830,132008065,1581621954,1394626285,796471355,1825095927,2972844498,5658846234,1066237200,389243014,247207512,4562447472,3529339668,3772901632,464145816,2286099900,683042604,911701665,4686381280,195436784,792609439,4404534568,2433136068,1287448071,2447441080,1211358912,3072737718,2812787964,562140360,1845874284,2631644661,539589279,3058658232,649245664,4475017673,775118275,291025971,194407472,4718764190,2871075108,3208641390,1148471488,648281142,282511854,62668152,1602672032,5007831584,3247868778,406323242,3154405210,3646667188,7378951356,2048345096,3960942296,5852266232,4290385736,5568051702,238556052,54180069,3274904892,712879317,2982836838,226412137,97659087,5962427128,537941102,3015821480,1251106936,783241584,2709557700,2123078300,268909593,2094572936,2052540174,2871979865,4511195985,5468048551,430303597,7270618032,671875409,621025076,717038755,4351615700,1979571680,3286105998,894525582,2157361759,4150522440,5540351072,1352907916,165141960,1000885746,829663872,2090606283,1568005299,5132616552,528643437,47751532,104577345,915345540,3785343995,956300769,1795215530,567086724,3281136608,8683111611,3969185696,6345968904,682434781,6502303584,5197281460,119386386,18790938,973612746,353410620,425570801,1975568760,3575925228,1421783485,1988561259,990180862,522805321,1665413915,284260700,6166161442,311118504,3032387176,162672147,3169043094,1374607962,229775581,621729054,3506114268,111680398,6538781544,1926904134,1225652240,1780344664,725065836,4366425465,1138120032,3532606895,1273061620,196109079,4199697207,90553738,390889661,2701085244,5165550944,4512609712,777623160,3711760955,2077687326,3990090290,5253048368,2638197793,7135572582,1147485204,5214221481,2747947937,2103499488,4836204198,1283744700,835053750,4166706845,5469285192,4807885776,220914610,424847038,3621821425,393266900,446258268,814245981,6981281232,3426910520,1348402902,2409301746,5954550948,4977269672,1590696492,2395330923,5052567444,6797131512,3439924551,1960944747,5175380214,4908201599,1386600771,1679846744,507680885,233857880,5823194321,1573005856,54724551,6473159800,960569577,948763354,151290334,3212548056,3197715172,7853888144,118069712,944675772,822297846,2477206907,1372345232,162644757,2542242927,442798422,6290162480,1093284272,736931015,895635588,5709217240,6310808385,1878981392,1840799631,616247922,3624188310,2952923636,2970184092,27053280,8040950514,3935080422,2290748936,1371998070,2221351465,244060830,2909392072,143953136,918657774,963767854,2853829680,1375591996,2727668840,326768859,3990071964,53631702,1342767920,2173440879,3820399776,5646297152,4234455900,1144461906,122549619,4829562003,2932489800,2357401224,33098415,8283945897,5861906888,1569446706,293995450,3156540248,1257595668,8889302403,3198016040,2151100590,488649091,3836459228,948717030,2733818172,157040975,1553313159,1030753118,2643696744,2121763944,791194806,1075107704,3731056536,4792282985,2329020448,6389651048,1637473548,5521184271,161510408,2533487636,19797366,985602798,6633583400,758222458,2446432176,1658319726,6427406643,363986215,2403958952,3893640204,192468990,165958295,3382993656,3132009900,434866815,1774167280,7808470434,3768167529,1616173688,1620332756,990680082,511954317,3159661260,7458600528,1985270877,497941787,5493464946,4049382745,1486086210,2031790440,2912979027,3090783132,552328568,478480209,777649013,413074518,1247721000,841458537,1919251182,579549666,748410534,5804539202,3263072760,45844106,4187078757,405640704,3373423976,3679282929,4957774955,4236111423,865604142,2345805928,3397996332,1358283376,481245216,1099443714,3721073733,1413365514,1217285132,1363976670,1631710640,2352979557,238285593,391727340,2292156087,294567482,7632075688,2303147652,665885668,1138068772,3904007406,2311109472,2041765398,4928601496,3309339756,2064487845,8949204153,3963995224,1115323590,3874521800,353703758,3779274724,2043733335,3838073103,706770820,144154414,3202747394,1099412205,7255865124,2328702605,940701936,5204510136,85689782,1794768866,1391003259,1142948890,5516132496,1346662552,1666670556,2722891320,4638715354,3020842584,4063070304,2538764120,1080471658,4691797548,300553258,1375860948,7447927167,604607690,5597280936,7377437313,4500669375,458267016,799840544,4005347406,385344417,934701244,155653532,3446518596,2408063049,883682141,4203341628,1213855389,1409176970,824400765,3253523854,2451597100,3410540700,3297752276,132691879,1024020876,6870804129,644508246,70919730,3732398640,2302954355,2521680660,1424450244,656216879,2233980996,1255030072,2256355549,7839122427,7342646088,2652041748,3914955392,643554128,5720742984,646465485,3571998288,6612004664,390505436,353927168,882686620,5696124352,892943574,2248222145,1456975330,254629557,356786820,3554155983,5217122456,2574483376,3069673830,1397927031,1824628116,3358950992,6978565494,5727373728,5660289719,910714094,66846524,5001182680,370499277,1060518636,1183438266,6159370768,975166096,1224934674,5247067743,6490050987,3296555088,837488016,385687947,1603662694,1915774488,182046556,1948203618,76011516,2822417430,808832532,1570321921,1521319270,5949978840,272318615,12153564,3514736477,338526393,4083181458,203443208,1903056486,257790720,459701564,2971802320,3483262602,435896108,3826153708,1589987910,915830406,1995646048,305112005,6487167043,1395746344,864710782,3114542424,2169754896,4214627050,1884226764,3774289816,2775732012,4899334975,273921078,3696653708,4781942721,596182020,4702659150,387237321,811375624,5581453080,990481516,5246099201,130920438,2741609805,153588411,5922986916,3939819444,826992950,393619580,5030742633,5622175531,6689987912,1715230110,3575941808,1458933759,921376218,4857411330,1676652531,78091530,3436621254,3148357266,103316189,336605963,2218001850,1894387264,1173847596,397263439,68366843,2208514827,49481435,1213421658,4564877874,5763441160,358461373,3086636715,7586886848,3892074410,1969678017,3470350345,580771038,14568480,1564768755,4772160896,3563518980,6705000621,3441064518,1961553740,667027026,1494597423,4261994425,7631675824,725521717,2466959016,646479695,6800715540,656728590,1615096940,1778056161,4951668426,7069977108,6813897896,479383664,696414576,4651147305,2929089520,1572333858,3292223886,676109464,5458520382,2247908715,5272149690,9685797,754962079,1291805400,1184488488,4070746788,2391755600,5629239920,6815251120,487058852,150670733,2163524712,2209005440,2053121915,1884662964,3619286096,1935033548,80222096,4383467825,2062521354,90523935,1285053950,5572084098,565593979,3413987240,3524968920,5949154225,1678429456,569119459,2759108540,8524887246,1105482490,3963094184,2742716263,1828512357,2035524430,45185136,1184389844,2715653880,1823283048,7208052,1118872062,6217480125,1304441095,2935349040,611446737,3325888532,1376110104,3139549000,2277335935,645716079,322747064,630255608,518855400,3728716816,1924940145,5392168227,327458619,8516197332,2345057334,5153591560,1916992700,759088120,871314272,3053817600,4179953780,1114910570,559058520,6131510688,1449807218,1782157509,1908018450,4283717360,468215190,1548697402,3143263588,2026608710,254318025,2853991815,1201516116,6693628536,2638174779,500534139,1669861994,508888233,2243310186,2359557840,3773031850,2852584,2722580334,977343768,4661000265,4497339924,3125008168,6188131999,390268290,400620784,3195726156,623035278,6932285752,934840956,52307196,1623886098,996936297,3082764412,1839789824,1979893892,1273129488,3546346530,600424972,1080821780,125764944,984957515,1840674936,2222039430,2898681596,1553079090,4234795545,2038571550,3232455003,1336572286,2049004504,4731546366,2821575765,7348568175,298262266,265293590,301782771,7640554248,1986587547,241365908,568580629,975758307,2875218016,190559536,1058762032,3411984978,7373979496,3935659308,517444370,944218328,1305020550,7689396064,6987974910,4179643875,1605411048,4350679974,2670667917,1055387480,5852883948,3222574365,977049458,166614520,292122720,6012497925,541601550,1160401824,3465342732,430830369,3300408345,2356962318,2911534972,4261367896,5370138780,3399970012,398493084,3910777290,4790880464,2784428355,68615115,3916227708,313948550,998049084,320871800,1930566878,1622996893,116394852,3535022855,328553814,195122115,3896318262,1213220366,2760919110,125656096,1619715633,464558503,1785196725,3108269592,4860273495,649337634,599152716,7172020048,2682259416,2052148272,2178691435,3486312621,119609117,572525442,4192394283,7072911960,613319272,2268234747,3890642260,7285786648,1342874765,489627228,346972466,6420305648,1507966465,2059451919,149649438,4985229368,1566473796,467651853,7241077240,1034276072,7748004735,145424503,991867310,1020044295,2281693856,850660929,129659850,3888185205,1750908042,751649122,5263987526,1292200311,5889375849,2168071150,5668267113,588521512,4425780495,2309965728,1148211106,7621202144,2971776084,4976295445,4931182501,2813313485,1328210964,5712623119,1584362724,7950811944,650308467,7546052466,1578032616,578023984,534885760,1510182030,403812504,27092052,4887920454,1687674516,5859295002,2698094780,27518574,14729173,3522648912,2631972224,2406206424,7684864512,1217598545,709354590,396919458,737354518,515808054,993654657,300127237,1310471456,875456082,3046309072,537587390,98867421,1946643858,8248604841,683403765,1657592544,430368462,1043420408,2841593970,3892646802,1696708048,187593153,7435255761,7395264568,1106623726,962744796,2010095019,103278138,632014902,787962162,1519952682,6031709154,292612445,5074354512,4052725621,4359701046,3211196720,6521262849,1675310385,6827010930,3121415262,2016906101,8164087452,4900324764,2908134444,1772550056,1992170594,654580840,1346505900,426734518,170787858,888893074,3232229995,5093115622,1715854987,3164302408,3901370552,3109338508,3638029782,4716896560,4841714556,678440498,1132142763,2576284815,808932912,702160850,476791588,382993040,1335526185,6067396422,1683322587,1907882355,5640210352,1883204022,7002214290,4012649837,54586565,4105092760,980630690,2983969009,1703220660,1301649666,2691122910,5777295792,7905962736,14320922,4027433508,2855685765,2645172915,4778700636,1410703302,1482125832,979945991,3988970433,2092491955,3499553700,8941769766,1433015598,373885779,2824513248,2034716082,464726547,858653094,5474646681,55845248,4349247354,908317684,2960319625,3657831440,5921342028,3984257712,65161008,2734191180,1595249772,5419863684,373885744,1769568724,1757341479,4270756644,3749437125,1884528728,5459475162,4417038315,5339495610,2041792692,1450158390,4787559738,2476812453,2548742175,1794273156,6538481607,5273602278,772183156,7708169128,1165205442,715869637,3437128680,1534650912,260995452,1909176928,3031727426,5039911494,1387353952,3545410505,4598839197,3579069392,469097956,3474467226,5156606574,4718682370,203423940,852968712,6738389388,1756831688,532439936,3013343024,1770802106,632144757,5195336230,413826232,3562246036,2584127982,1404634344,1622581308,5101044336,3109412164,1026260216,6698187503,50892494,3500300995,2650581608,735588255,609725861,2327864185,2012938182,829015070,3374354683,345838643,2723097228,1447772744,4901360868,113241681,8578069155,3654778296,4519843575,516166608,756731784,4872134940,3194391108,1728639730,3014301900,285107268,4143979206,2888474560,1582974126,1380820182,1796850845,677777292,2409235500,5950431792,2178214640,2967913988,851478366,5502942,6611632336,713588320,2504286870,6784966531,5707003043,8172351522,298838211,765783950,3545851764,1917247152,3804316170,1441192690,1100432275,777564580,6833719809,1301786912,2029569456,4899073160,2697530269,1086862672,4354536180,3624597837,1640852256,6743995245,4321202330,4179406240,755189817,347921255,4212213418,6108416013,854756781,4016712555,1207729848,2967315831,2792882115,256527717,4514495810,1211367384,3829744112,22050174,477835960,3949629939,1246688685,4208871639,1800335020,833354351,2798206585,123905696,18024756,2916006321,102277530,2324576136,2428965822,4721298445,775125094,246902787,1889769282,3911817693,2053436154,540716341,1457330229,275323902,1085560192,1638922350,2356980380,1735985328,233854612,1570829850,2151470910,1601600726,4069282905,462080987,192182584,1256854955,971371268,4781902896,213561572,3297728228,1851651464,1575671184,175760340,540738615,1966425008,2908817268,2968179220,3923094258,4078524438,1332183246,2869143608,964277622,4704317401,6364133874,1267102740,5339839284,1409978260,3991082124,3353666316,452667184,4237489975,1447464135,2235166332,1435388382,2624378588,3519207279,672335752,1094404860,1067013130,2736575112,638550962,4667747976,5716803652,1455946555,761799438,3621099643,2962771248,4946391373,156692792,631951898,2005296020,3626002242,421606297,422224929,913061316,4562781003,4534267415,666220674,1594675422,2599122,2834740840,420923845,1479836276,7961433896,2771610125,3571224936,394558722,589048353,975194480,1847548848,1390063275,5816666512,833834796,85117868,2244544650,5043170022,1448616690,2276466546,1176329097,223826776,2880294613,5174611083,1915568361,351159756,1719869922,20991028,2604882999,766846424,1221845630,5750771040,29548134,5578446348,4868191085,4111636401,283461429,392334864,309582534,2271839592,5093321936,3743720766,1415102612,1639374612,5564947822,598250982,269104830,3047052844,3741067864,404264873,466973120,4225748992,3776097231,2818652072,3909558980,351630036,3744419900,6550004584,2890280076,5238311112,1171483920,3230689640,176051981,174917004,6601857156,1130291061,1258813864,344671233,3047029500,766291240,4407161675,5329243881,5194654332,445935784,904787853,406054206,1641529888,960020004,2315038110,2339106525,246262659,72680922,566377196,1582042538,2792448784,3386876185,2941454744,292727877,928235580,2951166828,230508334,2933089564,655418091,2148695322,316796206,979556979,1164747278,991923270,4513930328,4890440529,1933699300,1129458108,7918593291,5787733110,3528851215,1213174322,463689979,3598057670,3789265616,3964856088,7261875819,1206925674,7809417495,1622709800,4007913714,840695618,3133498028,104739069,24353918,5117029386,313895322,364536938,1019676816,154234850,4066828074,237578504,2328024072,2209451968,61586208,6311041079,2862607185,461502045,314344036,1979702228,2762314227,5939158491,3097712992,2757202448,1467930066,2772543924,228241428,2547756264,1332886461,3524248968,1381541210,2731405722,3217165865,3890965216,71041878,228439329,600506064,7107897832,1665928788,2243651488,7933341688,995721754,1957599357,3326447295,888857799,329062905,3290808528,2527052368,4274316342,3225063896,5164471467,3891137139,835820314,304732952,1968088168,2626923271,7897551176,4191567380,90808356,237352906,1576165062,4311167740,1166383596,4037605700,660593154,7579258168,1003288892,662131540,3172883994,1287279000,386972328,817540797,1984931256,4282020834,1180904728,989563022,3148395600,390833474,4484040386,109630570,2171419476,251594680,436761728,645548040,1163300502,7189058768,3623446240,113390622,5885240238,1323409976,2518333670,7192891384,60865527,7589859680,6333874449,2165367035,6409189035,3614345052,574726415,13377987,3086979525,305720488,4813963840,5898429090,421215240,810713207,2775121752,2686463352,4813897739,7675998381,1708218489,341043436,3344499632,48634506,1352358675,1100754372,831267743,1730141376,4368467789,1288239735,1547751492,4147730152,658331861,1388923328,3190568840,1285581174,844388980,34332131,1104033290,277490062,670344237,2283031464,405687731,2655558535,1344168890,2509070121,759321532,732880971,2479993713,8501424795,539314175,4938709075,2133778089,3833445858,1107826338,1337726572,569056755,1047122580,1551262728,483906254,1526120325,940868814,8468573985,98786535,234558606,5274257976,186705525,1699225472,2811938961,6021248163,393417813,4450172120,135708766,1143975374,5712906918,1463006487,4929871416,2937671193,1584278120,2183687934,5846916,1195999692,1507619052,472293924,2881503030,7270587981,6733154216,1871387944,1758973565,120725084,1593780,2034311860,2496189780,853593581,2708094361,496729624,5411199381,6784091451,3382117109,369053794,387213643,6893137391,9172452,6962726916,3820512052,1580432390,1622477979,4380994312,8942938992,2156352235,4235710766,5608664838,3455973392,7063290688,255039219,3569834248,4693571550,1311447296,7894117710,303626216,6742204623,2313685383,582424437,448226916,6223494600,1505119665,1938619092,7121294622,1223003550,1594900048,7493769684,724761882,691151457,1225223055,1437483345,1508008300,203220018,1837946795,761917272,3064158369,1138120500,1507356440,1520331650,1314800550,296011690,113514556,3540737277,1817456430,1017799306,839720967,7688726856,4020243216,2444739143,3001792278,1026889157,169998962,4490609900,4787717370,1042953680,535305198,675085336,6417530721,4944993952,469194658,382030224,2217736388,2512214955,2417617167,2016568904,5147794240,5309541054,5147643480,836361458,51688140,70545438,4977600579,5554316754,223040852,756992442,642700890,4101413931,1808780619,614229200,4123739400,1944744488,3138954756,499620956,703397235,492514152,660381456,243056035,367608335,936887562,1055780600,1194826875,249015256,5768949588,529487379,146304150,435907748,1571680795,2834992732,573900748,997141536,7317204408,3732472554,564513235,4567007448,2071292420,2182427478,6192303104,4040434764,303157698,1111770940,2616861788,883861305,1479427758,434224772,2249799684,1643073038,2261928428,796575954,3346805416,2348563581,3305767792,3923810660,1011992427,414110520,1405370332,3997221494,7268978871,2063770731,907649868,724498026,153991455,787453296,434828205,1528873332,4903930381,1801142322,1148582688,3858492504,446373158,575602188,3795347136,4727182146,3310157745,3848994025,1750717542,1794998556,1572041550,1535011919,573298080,3998541127,4013574012,5567355918,1020016648,2747102340,3168233160,455985292,6432612525,605765318,3117823938,3180279525,920669653,845099688,1135191804,3792794668,630537772,1305301792,1443020985,2393259320,5632673136,2220089224,4001139432,3512300752,733836450,5365830400,5252607822,2254819000,147291739,4077676152,4137537033,1239319296,1524519585,1388905852,3122104496,5432138176,3281912868,2552227809,1719615608,1089606078,7970547400,542543933,7410441632,8604616527,691666188,166592735,1626122840,415571529,2602029840,614883880,28843732,381148841,5268668028,3876349923,5719556784,2932659124,4397697474,1562779265,1733588912,5909988186,996924200,116548701,286368837,2942937870,2104257111,6694180152,3536219556,1922070920,6509613519,367906355,502483016,3214933876,5582620312,5323527408,1238240832,3760189712,693106254,672680434,408930685,5731106490,731148534,1193761592,4141225683,959059656,2280962526,1688590830,3238459690,8295793731,2744658090,4511622249,4005053195,1159229860,283563600,1950152614,4038184850,2624934870,3825968226,1916645538,5474627744,7170597224,6491843240,712786590,571278437,5221708758,2646111400,308152766,3038161905,688424310,6990580247,61984346,3786482835,7745697333,356053966,1521477672,1819902144,4826950534,100895895,1551726963,6183915577,4758135174,5383286426,6420544417,1075634660,1715328614,1470088188,583429674,1287572495,732940375,329774905,4499897312,4548571632,7534844730,284233614,631666932,6230188062,2475007656,4900567770,4769983128,816961110,298368468,2052393219,379996778,28319696,1281215280,953384293,1823918640,4202343012,4166107266,911084808,198227892,4391216613,485175160,480505488,5043896360,653823970,833167306,3308619500,1820134060,4739566728,1325212156,385248915,1837976256,7991800686,4489627041,3173245152,1369579323,5163214056,1555627530,6706505904,3792478920,2665868526,343763028,222308736,6320766573,341777571,691273691,2732604933,1102852250,2507327265,7650438848,4200860784,1290370100,249334057,503129874,1950415148,489396492,5685015224,523460452,486365985,1805128731,993432138,5749751424,1877030307,4153280605,895991096,2873256605,4360373248,859674262,2408188386,7926585528,990058540,1408018180,1205289424,675619656,1588685511,3352308225,1352429388,3127020268,7907089024,143874693,2723034615,3466420204,5327776152,7602732162,4695377368,882670635,3177452334,7789909716,710728558,2932508864,1739148426,4831462608,3175140276,817680488,1444916366,3825284832,2298505890,6638550345,8655376311,815642350,430594,7535549376,2996377725,408307445,7495053345,195715659,7081869411,3551809032,709872775,6175592409,68717598,4734639539,125770856,4508478415,4384537569,123319428,1671133212,2966066646,3029146220,8974616868,228631184,123044022,6499617285,587430420,2822780695,817894127,100406174,1356552648,271276680,688765388,5821487959,953739979,3108437661,8767992744,8446532850,1695190652,1321112168,2589716151,3982509485,3819242934,64934604,2585957440,5880035875,5443938264,1427690475,3875982232,1015552712,2152819852,3749471082,16334582,848992101,339474944,702640764,2167558272,774915549,6487779680,2203572320,1883805078,677110508,745111389,612916342,4110086910,445979532,7675038968,1752020163,4910089570,3341128553,3371782337,861252106,1242279400,98118688,2295016192,6442008600,1944318846,3868418136,1914806076,994262982,1837706790,4710700185,2261298890,568613630,1901003349,823082610,1440920769,118013706,6090235360,12183068,609399008,832847332,1447019574,5223206226,5347413837,1146764334,3959394219,2738603766,2091852776,3071941446,2073204429,910727895,2101280820,8724222639,2899397490,3771121395,1554724378,2220191148,480422456,2515998440,911229448,346917018,1021076656,5449585212,4819838148,3155702403,2357107812,1559480574,1750408504,2580635112,154664946,1961406416,5755783439,1700999769,347374344,675286896,744315873,1393147482,4095614614,1315539400,1311955088,3482213304,2440746567,984209651,1269538524,1359118312,5792380280,4929601010,8790087402,1642882180,5965276635,2863419224,441019644,3525197808,7949135052,1691904604,2158759035,1625823036,2678564290,1556844813,908685826,1717621140,3938016047,866113915,112426776,2803468165,544802237,2146464776,5250076842,7310260170,4701574430,628758020,1693008860,1156491220,2020236774,4188745863,2427709864,622443276,463122970,6819538803,1756920571,3695486,1317062760,2659271580,1826599496,4420969470,4224816340,5335784946,571806136,475371818,4545927204,1672664301,116578510,8665363053,2552443023,2020009827,1185630606,6813250650,396095866,4718821860,8011657341,4236597370,6485379368,383401860,2427697662,4730762245,7150079970,2945292476,1194338598,1288024065,6231864044,4140539459,653741078,2822533768,559016506,5478879324,775816299,2108340,6026908811,1107813040,3522227692,792312652,1125924900,4984634880,683077900,2947716588,3090868758,2726889504,1824939234,711715260,63395752,4796047669,393730932,3916705345,1270293096,1417453572,4938820152,3028896899,4538248505,6219938384,2663857191,2602540728,3923289639,71855592,3851692002,760224984,669494259,4326743504,331055318,2982982760,1631718105,4725081320,1851073182,1869386754,2916278823,1903517232,1148054978,405335756,831696004,4441961100,1213149201,2934360190,2329772060,862197431,2566525644,560944601,1269902550,57323889,3194401456,1060287641,348346318,1754264148,499909315,4489833733,4969674000,4878692520,2260077054,1414963353,3869643141,2569374905,7227961758,2042605230,1434625572,1897205373,1903958922,51041266,2246126619,2938106607,3143386304,2503057170,3306070488,4297394802,254475956,1707747771,7429827232,5723024994,2087761248,503490518,6122015334,7277608216,2252058969,230321440,6798301938,770924004,3132028752,3565966872,3850534456,1627209348,4316592270,7541927856,3548867504,1997485026,2902896360,6586665442,4193710920,108253287,870320251,5074377861,7153695864,2248679349,357815130,6384115368,4918019120,1117256280,1262787414,1142550768,447472402,3907053904,5764611462,1939858056,5449111360,941160416,5186408465,181772552,6479692443,2118492300,1804637062,1465297156,3963257955,2789687400,1613209353,6412914046,2632449044,6189865232,1198089908,1483121346,1309747866,1316081216,152557407,125719128,420949963,747488766,2169602739,1412499452,3842120290,701776008,5510848200,268636336,675364428,284883936,743179077,5952348438,3041127584,1580590836,1089545310,2774191495,2808096260,1135603935,964105765,1816771032,88224915,2096404070,3240190278,8638763715,1242649366,3880164045,303339912,214411519,746865636,1587231373,2052368499,125823159,1148105005,708836604,897529338,4624905861,6600388959,1872309250,5082435315,5493574170,5659355256,459114089,1010268990,570109512,767039571,1967976216,266209941,3590904079,1263052448,3122736730,692976531,2087227530,463070902,1587259174,1731921471,7136109927,776385897,3710890704,2583938819,4058585240,4184317550,3491916832,486780675,4870231952,517350016,5883218096,906706869,5240399872,456699105,4803245310,4245243426,106495530,7574728576,1396704141,3068000406,62944664,55320855,734049875,2517171992,6066446211,817104810,4354720912,1513742739,994857013,4932023945,5496851052,375640527,2374601128,7325202656,3470865425,6568994047,5788137404,311915112,1456122355,828339518,143476280,1761562998,5614884232,3215952042,4772943230,2593132756,2124013104,2226091496,4086844880,4160760792,157042848,3327209720,5790064536,4368186460,3008278865,1292031828,66034848,3855463952,4283590486,638692148,1705802707,1033459500,4628459688,3793116264,4461081345,5164314582,2499005131,1243512360,628989440,1805221018,2533992500,1015951344,1459602632,5177454561,6510448323,1947653892,3931193274,573223250,495050694,568960914,2327769654,5310906705,189169407,5080415361,5223534932,2831767600,343634462,424313007,1070022132,2247173236,4971634962,1454119905,1364816682,1286134864,2681954994,5842923570,463050754,4860125104,5083874772,4852890756,878809653,535879546,6003674579,738990160,1954461807,533550624,220198143,400155852,1128611740,5138106664,3289353165,7136414408,5497355040,1565155312,1869999228,3151370481,5474907354,1537946232,6419659392,222026316,1604355836,5107374512,1519210016,22510753,1921549148,433984458,3465415755,6795172797,308620648,5845801864,6020499726,674172952,3905088880,312624423,2469967176,2414026734,4259736859,44260682,1744286961,213305931,1898154565,618300450,269463126,2323408344,1656612130,598860373,160097233,3227361249,2957815608,6753264210,182139151,396517977,2387203899,695354024,1376199309,1456914468,332918744,943478298,462619483,5883624420,3137645976,509291412,2447476956,2693661189,2783054248,3489019228,3212458785,1727303235,903732762,3048645690,1599899870,625390172,3604801416,5594150190,3226941054,1159582545,1253475312,1923191127,981871396,1301583715,2324773304,763328710,6332945373,197236171,2650837232,2339005960,1858281144,8484426450,1998857445,737907903,2480141080,814906985,1732386639,2301956325,915419472,528275275,263090707,1859353920,5085872976,2375921226,106130552,68624286,7810510320,85183356,535447350,5326118216,2158533940,3824422146,98000760,1603440640,2227913429,2056485088,4104844985,2498904990,1631438165,2764673376,3482036492,6968638116,278343936,4528640315,4482017955,4835109975,223700042,1850338332,6352994879,1630406088,968734565,979864900,771060624,734726985,1316004627,4877793235,692888037,3265628754,3130285193,4306489586,2128186668,555673218,4013505768,4851085824,797016240,2284428588,2505994035,3628101883,127293816,653185514,6279050781,72469386,222456048,460196548,1778472305,810691384,1443680808,8981786412,2706316190,3705411042,2239845140,260479605,159916648,3298830731,128264202,310473636,6708927924,968346677,1666769226,6162180108,6806525301,802104782,3035506230,1045170204,995129008,1803560928,1552771062,703781649,3838788120,1710888030,463121579,4500971070,3825771772,1764208750,950188651,573986986,391375548,1217658902,4003659015,2764474932,4544845739,7911012519,1357901235,962001198,1652786412,4202952565,1781306100,2385225073,2184623184,957081502,6131207835,4598556444,607763745,1103776110,379024090,339019968,253063224,3252185280,859280934,1027381518,1565372740,3735010392,425295913,1291274332,642641042,5464715010,399225765,7714594456,3500277630,4624437630,264121716,1083976090,442706660,1681608656,2704053852,1671231225,168957924,1461639410,4211868792,668086368,1148830242,4259531840,1669410720,861675684,537921872,2235308898,1061095940,6694530052,2686529620,2680222996,5172023871,941462884,2725052612,441610045,7683471657,2931511518,2793164545,615903550,394609934,4102692345,1071516964,1334208400,176047640,4724753940,480872144,6787711756,5547691998,7992000280,1265679992,838631166,691028610,7992286880,2359890616,1116279805,16972776,1741224065,2872121184,1320798535,7628553904,1858916784,318537266,900673672,5409562788,3982554840,882996327,6552200753,7989670616,787720686,2111052750,1493772819,1952040314,5324024028,1858033676,877325200,6755242672,232761149,1344709728,96159560,5514320385,7020670716,233922520,3701891416,1025132696,5641419896,7437687300,4418753630,5781622599,3884667186,1879434296,6293028304,7585287792,4663635875,2207193569,1484603250,206246448,2467586600,3729908768,5967508309,920714680,7106822622,5985896904,3436341592,983661690,6786961920,6494653326,3257916032,1263318824,2406540312,2294412589,572092272,938003940,766728592,4904883837,7539901938,4615718065,1329969584,5599215986,1070441607,4021757937,2997110830,1201854208,3225940893,1178159872,169508064,2123074161,1989943452,468397299,763188960,7345568961,733652810,8429840487,847156925,3087689875,5463792342,3291102708,1926996492,6461672608,58459382,4730945562,193642755,546122260,3628818308,132634967,6078046698,2587283952,2114263525,4095169422,2854449516,1175206739,1124864920,1236351895,7323102120,7569683289,3112044595,352736216,411179958,7663424,7282355067,4253809980,4699936143,4899475128,1037920462,2807094288,298490112,4077191615,5188408947,683021772,259839604,32006318,5916815520,5578344233,7616654144,762049412,1950188720,3030642066,5912671806,819463716,844827565,512668540,401078448,3953468305,1790486084,4970954715,1767046059,2784558147,471634169,77768874,1109988068,5886745208,316375983,1804968394,208221380,549476325,2089600980,702870961,4344038394,505047110,1338822858,1363155876,3282312,5621575707,4489828572,2704753840,1696514300,1801760224,1336491794,3250640364,7572762288,2247075464,1621200960,3571278683,2627873485,369465012,4159885435,5443621083,1559716077,1734763434,172838676,1580440706,761891548,1802356875,1453887258,712265379,712521886,6429949152,904479744,4269884814,1720839148,340851321,3841011704,1150805790,3370684190,623844642,1478495760,452287064,341405310,338836479,2171319126,3571005660,2093294502,2889351995,246832645,5306484666,3173368860,1168685824,592193124,122832966,6982060232,4445030872,1801409400,772954960,7912066080,7563486528,719763471,3216059898,6030458992,1762995016,5004326313,1286166950,1869507699,375422680,2670811868,2678622561,593256198,41943308,3866505750,667969104,3952347520,442880916,4112610654,3099456261,3921961482,6999007470,40070002,2403548080,1218493521,744304412,6833919528,5558693244,4520764934,2035793976,1944157266,2928886956,279489740,1515845128,4740362606,3558691758,3780998500,1162294683,1398522832,1040202102,6353182568,4452279285,1769544844,620574784,7746792032,2724120225,4658245855,449719410,5552016654,3355672412,8915999544,4968212130,3644785438,1384180034,4274132568,1782518776,1862868784,3523937690,129849630,5697741948,1212837549,1153052006,3446253384,2672774680,460245224,1196923899,1454706522,878133792,2570587791,4231715894,7934630464,2491089902,290775928,1532870250,2500861851,1357819981,620983195,4220050194,5602359663,3306722836,1849603165,704895194,3894570072,961055393,4301155992,199383723,3749117260,293992998,1299485952,3916303528,6598618904,852444909,1464001251,1775171626,919546172,713801985,1530527540,1858667128,763935102,1588022559,101349648,3755975552,859511626,754500357,19359315,3637677000,5497324488,1534599930,2956030308,2255698780,720867730,64344378,4252046253,6712677108,1337220258,650039184,238293114,1576069972,765582132,60408720,1014037965,1931607376,584876231,5906256888,2702274579,182212704,1088554059,16622219,2239814970,5205871392,1604277168,992729232,1506346743,243136078,2949212328,2578969740,3944707788,5027171391,895069209,8079794919,4059494405,3108182301,1595511410,1241018748,818750565,282481268,1435464129,268836998,2610343625,981405525,466113888,3092397204,115408246,386307356,7005364425,4602166515,229209610,293190290,565987662,49080678,1032940503,471415592,479741637,3146578056,3712502380,2151769345,552405501,2497493385,1328454498,1363213146,887356992,75562672,452174865,1734389100,755960921,2650058912,4396010238,1023246176,1510618872,1473716838,546031879,1824464810,2041781140,775753875,1624423056,2830276620,3931627355,1940735888,940854510,1046175879,4169222260,209068312,1553500158,5093521242,5022965466,5585358984,8881592022,5874939876,891136876,3248101409,3871262280,2131072344,649500969,6555539459,208543336,2198988675,776223676,5219390910,1739394612,965002823,6036877840,7995882728,3064976656,5516798418,550881592,6244707402,1199993142,2934302664,4776391718,4364242824,1893113530,1057783890,914293756,1987238896,3037727448,3614121200,917424396,2178671838,8813701908,2166000272,3592820224,1032152709,78555908,680628879,1848070692,6437502575,6481896806,375737755,5695167864,2316074022,2490551028,670443448,3536900176,806318744,7444916224,6572840645,2771897933,6330648699,1502678242,3712198400,8684025444,2522006221,467731548,127330962,3983128814,3410802184,1080295566,2175385935,1828640928,3700684256,269976447,1641464890,818641480,55732353,1806993028,850049228,2914846272,1311226455,6944261355,1590870440,319277032,1650736893,4685323599,1501317066,4031916456,5243093073,2491423600,256042920,335526570,5346053776,3640336392,3994185160,5858337933,1480134144,4917813150,151117010,323118330,165405552,348902331,401437901,5988403032,4009254065,4758436302,902227024,4554932958,1613853500,3706257006,3594842036,616199358,6848209360,6126250635,2585754978,2270441824,2483263074,2299310631,2428170684,5173753350,742691125,3372726175,8699407524,823780290,6268589793,3177302576,5815695543,580247366,2290458588,3122633262,475828966,2708135991,5306952480,2615115216,6653404040,7823381337,1954133810,1642031236,3377443444,4499753760,658390671,5054652936,4961472327,378972782,173522727,1293441060,2354803871,4073211002,585136496,821244068,1164901310,4453597755,4837302468,1560022544,212482614,362892924,408996889,2848358828,3389470173,2342052678,291139098,1557206838,1806274310,613000602,4010867784,3668154120,64075822,1348422927,1355242590,414338968,3908683904,3992071044,1165906224,2084343885,2152963918,4162402540,173666924,648958413,1907986264,5105114651,6839103192,1095991132,1559580519,4725931255,1099541358,599065802,1403396862,5813857987,4378787850,3066706352,1709092230,2355944794,4286864920,2795000832,590474991,1081787666,630965242,2065231668,360787760,476497558,2875806790,2204496424,1301890594,3793407359,130659008,2347583265,412110520,977614288,3996477395,2828463870,5634173608,1601653744,79198029,908736433,1189537002,1130842584,2482651692,1762984476,1609843100,960366732,2921111421,3028864304,434216892,8806582404,835055576,545872196,981641224,2990973888,2902972011,1177973978,4368288064,3197309780,2657200056,563545768,5836130902,4936479570,637875008,1082904226,5333928624,8885979180,5778515488,5105848056,1246379010,2752391612,1954518084,5550889764,3567680221,1330869004,4770748805,115263616,6540103479,4654698559,148166742,1654774036,1099377196,2365881292,709679275,1370023484,3637288382,636034080,4469873375,1532136822,6203723155,83843187,155823332,1616872236,207536499,1332800116,5634428244,1471753585,1937605502,354137080,13227207,332257588,285504341,2377064692,797569490,4798770635,3884663270,30195561,2854862250,397780375,603790696,4628298055,2532944816,60452536,5873726940,1076285390,966503447,666597744,392563200,4314392075,56732730,1835176812,5541633034,5747884009,2233930560,170812596,1647941100,5661610065,3467705212,2849088765,1655814505,1635714928,504891527,1907117640,1803493182,1379081368,924002944,5432205840,1940178056,309016600,997054444,151376426,598219088,1321245900,3754420250,6240429512,6935292855,5074895748,4290497772,119451845,2005863612,30286,435089104,1924544316,680740848,894657838,142485522,175302270,395926032,234103146,3365536092,4947637548,2641680258,731811904,4752374710,798869020,7255533690,2929294926,3120396845,1861962918,1124754084,2078058300,3178337913,3152957496,5222340558,3359000520,6678112728,6571196772,421271802,66642015,4058678696,707366696,15593774,8711956350,335651973,1229778540,2108211959,638524040,2087360358,3507350708,1502194042,1504344248,3955085284,554696172,2487619876,2293757370,561661144,2804227605,1312276626,54750395,2250903645,628387222,6763294881,7984841292,4687556185,2473766346,133765341,3985597651,59812590,377665999,1192631721,1760914746,2814016314,1072654850,321831456,514200388,1671241684,11429922,4779884361,667810432,1162659860,6818378607,6034937335,4757308188,355725704,2593010556,608100684,3109880664,553091134,4659540309,5972544096,315942900,1935785229,7048702168,1483273095,1516107604,513093305,1285298420,985689765,2385359440,2326998639,7200780732,2233258407,447166152,2401496880,1654759883,1260525116,72187455,7534085392,5242726989,1969347922,3650504877,3884535529,1326444237,4983226722,279208746,1033926792,5986350447,4409100224,2616904056,997375515,5623817171,1073458650,1074534398,1342040024,3112304240,7793892756,668000784,3612688506,515014578,6359229142,5060426392,739541442,5986899758,3947484288,3662951930,2273429888,6124902912,2129013236,1014430659,325926489,1193287800,344854336,1744993905,4047815496,1550176018,7170145749,1886032614,63205860,2172458034,8638577847,8063547057,3725257144,1775952856,6670235698,4361063864,3983528880,5137243854,2357931840,927223116,661330316,4095182270,422664515,3343730600,331690300,1419404959,1664047416,1269158796,1077606606,1149272520,210516412,3385649736,3348492300,5530137804,1844616312,3020139591,1671190047,3547712088,515215112,59674510,430427372,275146632,6570225840,1214536304,440479992,1183535546,1458897600,3044150053,5363833240,1439126192,2604128283,1970899546,106624984,1640747479,1007338308,1991191724,2063452426,1849202266,3406356772,2666074865,2050672380,2093440896,264721896,4361190084,880292416,661541596,7059184236,2420170242,2662646740,5508687660,83358083,1833659810,2544952487,1392803288,2688580728,1723989169,3336825744,722130715,2720193057,1546920604,1263176285,105428560,4219562220,2973417363,1839088144,4200023980,2391276900,2214229272,3683832570,92143068,931027328,687637573,815072868,5394339027,1124430330,214908184,797548590,92193972,5283928827,1748118745,1761079728,489098244,1381752842,898507180,1453951948,2347520188,3104096786,6678544656,2924600440,3570911680,5026654072,770821912,4938804200,668884824,1242487944,91917456,1955683200,915573649,953317308,6610342311,822873597,4097353670,596710699,1700474452,3735306134,1411029055,1438373784,4463089535,5392663746,911850428,3232874825,726872135,258546692,6652701328,6094717434,3025199317,3653347635,190520775,328682007,1242526822,281170117,4153362201,68265426,1533816543,920118910,270893817,2225491980,998876806,1564021650,4291406046,4887196006,4658693940,7855640217,2223213717,2039203896,687182382,3214405481,40537881,1833773304,2260693521,1249419482,4192536411,4337256325,47284893,2999799824,131917254,3844553864,1384323150,6233741928,3554971567,3836864232,5874707514,209651272,3452270360,271650028,580241157,2273309185,6507036144,4841369982,2777956566,5473570794,2362687686,755013343,3046725378,162521349,3257800500,869513118,440713596,2906992921,3946971980,622561909,2201712204,1132917725,764471693,6562573073,1041940839,93008755,4408702690,3453855465,3949516305,990545175,3490758693,830155164,837809730,1692351244,176481839,20778156,1979531616,2811767532,1858344276,186299337,3904137666,552795181,2926414860,3211990255,555678591,77313684,6456564441,7005954936,2964415472,87840693,8738593047,239813095,882262197,746799098,480711812,1416638515,1474894080,2764967997,5371055914,570940278,8479197072,4437664885,1854159552,1322737188,953884125,6512899554,533889121,2134663557,1774448442,518363610,565321904,556093440,862632373,76074918,7637888124,76525474,4684376082,270100632,271539379,2068108686,5898383343,5101043895,912058790,5927646006,109075188,453186624,3248022840,6208372912,757777744,101711328,2306473072,1508120972,5240902734,5362615408,2192727957,2838296656,595370124,5609667469,3707542680,923140128,1994101254,2306645979,876287805,2773664154,2023223605,410573748,4058413155,320738166,2764747220,5517953308,2066807110,1036809808,3069786216,1698141515,3418258596,188647092,205921225,7130344904,239069087,6896111319,4342641312,1718559938,6230619216,3749033390,6634349406,4191687725,2291956604,991782783,7095574624,6365170427,1360058652,7742143640,832114647,476614611,2896829625,217911126,1151264576,2316774684,878367594,5654821149,4084226064,1883807388,2934091806,4088260768,1938094362,2427479556,2784859770,1453290687,516873077,2716841088,549912562,3626819861,2806695920,1748948090,274161168,3349934700,82061469,5290319268,7388521371,211091492,1394902188,511094564,1351746648,4445665065,1988957097,845122668,4078415645,108620442,1385871262,26864705,2425566066,602965865,1283299815,3658409492,3390031000,832966692,856918594,4626596220,8616572,117715886,143892895,874735640,297962510,2837429790,2821732758,6479475750,1008369362,2223368912,6447043224,608801668,411497938,6357265992,514960512,697644514,4068435608,830507601,7380017608,1059389008,1140684386,2021074632,1507489164,878242525,1440645192,7938939920,1005871840,3102378205,735999532,3404265520,2506639071,4379912,118442858,1104862488,2235631699,661038532,1685395629,4719455502,1876644306,548779614,777437734,894600661,3448388420,214073837,715397995,5980630600,1540364772,1444504464,3845572283,5680318792,1589789352,5672283856,2556893452,570151128,4939292172,3469418640,2519969229,14162900,5388252102,6903437926,1829459466,817887600,414797475,7168558448,1605936933,596312932,1540365286,218089017,5462822844,5406612705,910111509,5437423530,692555646,2526018648,857142668,5879970054,3193261352,497757219,961191678,2452091292,1884379068,2509725955,1597026308,2823870188,4597511688,565283420,2086744812,188882596,4678910424,766723925,401775522,1372753224,132012056,771201051,3291221132,4465765971,4990238616,1787874652,1130462694,2187549726,1199396632,1647038841,1977060240,1631697960,4096432170,731066136,2079686970,252353041,245081136,4595378118,6533813398,1608785708,3005062146,710884583,2600715411,1701251932,1690567512,459339696,3755804688,728107543,3036035496,3130354638,876379016,372326008,636612507,1252350920,30689530,160312356,2346298611,923331792,4212294256,1891069850,3465183336,1893965762,5929289112,908372545,4420087980,5415631272,283790326,2422426215,6431770305,506660094,782300232,1702543764,2939524930,3653022680,2936721474,2749909500,5598462321,45061100,4059509965,3170638935,5850029871,249559476,1822096600,6256371828,8479967229,5990131251,3383757728,896123394,5099042144,4753826835,937803872,1128425859,748428882,379929771,2781020718,28902254,75108046,7139909808,1435882616,2805696509,1146415704,1052123296,498027738,841494644,863988252,355815509,185337012,369198987,3172925380,2194500408,413549742,803713927,445181250,2299050464,622890502,5227198592,3234981463,3382820172,6826425536,1600783450,677428113,281352380,1735334516,968379084,489724988,2762319612,1906028496,647600575,3876133086,7606908189,1042228831,304515657,3634699649,3471993261,160280744,2335566096,1487837998,6279031024,235022548,3757429764,471684385,2002754268,2441554629,3980982852,681060029,1052780946,78413647,4068138352,401081838,319751818,285678415,3440497692,219152580,1985572764,2792531760,173453382,6373409176,811339053,67600516,3488578295,2691831652,4878802386,8505652014,3822506954,626377834,3440262232,2531224744,3892678005,2948681795,820731525,3798073468,4011379055,1810000947,4671619720,3905072244,1937826694,316119678,18454134,1904744484,2490166924,3068102448,60671115,649758465,3068593218,2680998820,141345930,1130379200,1350198738,1951116314,6622316211,89711844,1293628684,1147657504,586789700,482661488,3704099936,178025326,877973228,5691907359,3867791151,2346995022,1282326544,2482539312,3438595844,7182970272,2814247064,686318829,5288454444,8524043784,227392155,769898848,4135791222,3525588054,119672427,3924570600,1818799184,1642623912,2993069575,3075798920,2272289400,1889055400,2006960100,38356454,140952020,718622212,666639000,2038128330,875472266,2738635098,1230459042,800308875,2486559976,581903013,83972934,386842498,2075274201,523269438,4902765080,6865981296,7185470679,1241885465,1225223424,1448384418,6551016858,1706458360,2093884497,939504460,2397084332,2224253508,1819292454,2435536971,1461376720,752144756,2234355348,2543023865,127495614,2442599453,292005412,1337228958,2249400762,5590500762,3233613753,438720942,622153101,1014224208,6135236514,174472588,93640464,5444095662,116019616,5816859657,3661402284,820856970,680288394,1649508852,1905884795,563079860,6967770948,1445631891,3021244488,1303120642,1439976495,6300854840,584671932,133731045,7117733976,1049822895,873855429,517810252,1988113848,3762945290,1300315515,2852803818,2053039956,1689264350,567177976,621139257,2673234834,4695623586,1933847800,2935626530,4553744310,4330588290,923733150,2742025848,2559927304,332084903,3338975640,7456588686,169414405,1113274364,1324330204,830226500,3177079808,1447533342,955838290,1365649640,4474223436,7212684672,1748765976,3426382860,1863811340,112761220,1995890670,6297378542,3787212924,4947569168,1422304317,3785627628,4166057720,826447068,1502712852,321609935,2350066302,134552859,4881888696,1358807550,954970166,6956374138,5619991192,3722005195,4129933329,4666159145,1219379728,1470262776,245653556,4595255994,637871325,949929728,4875004590,2296890972,1290236514,712503430,545678445,196181742,3248234563,296971384,678307387,2390589345,212939955,1574082824,869078120,340591819,1731275512,1890558790,524614007,4770015840,6723687112,3211997268,2546655405,4562886601,4654731015,414731542,829052294,59649788,4895097535,580572180,2209998693,2937155032,2457687644,2644340454,924483300,1183213748,999423807,247841256,5764233492,2428496208,280771776,3577034384,777485736,3798932202,3269732716,3815211272,4495406713,5870323530,2019755143,8144008974,1968906355,230461722,7316823204,3194003065,327342908,1292010486,97765290,65922456,3816024244,4594918524,2512409076,231469838,1965588820,4988422040,4384972368,4249207719,1295424256,1359631492,690938822,1144512348,6346643967,367541330,6956816881,1484260635,247305418,143862511,1243179335,3661737984,174658887,3723951144,1413445412,1956105270,1481802406,3208865886,5628956864,2058707792,3500379752,1094964792,3174773150,208489258,2482300794,4290862233,1260942948,1576117611,991369820,180640866,3008262832,5321546090,3225639085,998499979,165303672,758426998,2342006466,4242657734,1896577996,7431258465,4958161390,5369224664,513267260,3423104592,511011963,3671297336,1169600397,1030125815,1426793180,1437345150,3623050520,1509449448,1734221592,2189703045,5094850200,2726386285,226747836,1085458490,1477849457,3795157944,2882919699,3874080864,343974933,814189776,140060561,1675304982,1365867684,2726500158,1398418652,1039040632,2202402140,872261916,1824589604,763609113,1500593968,2115506088,632915156,2359701318,854000355,5888661252,969419138,1671159036,4422278765,3275519884,858323672,234337916,1610942674,958817703,2792869080,2173960866,4175173023,8482090473,826335000,418032774,1632162879,7244165232,4455708275,231320046,2164708108,670264529,871424609,1548107802,4947248400,2249270948,3731557472,6422358032,1909605180,5282460526,246498253,533775171,4760848488,3895498895,3591814530,19295457,719451149,1780182068,1653592680,4397122765,5417661998,1658408995,656893110,1336729542,548253888,3444118975,4733309457,461518127,182911384,924403742,1792992566,1719415782,105400239,1572471677,2213187960,412440904,127738156,1659083625,2379461358,8057957913,3556689676,4369455924,3654049656,965670833,1174394016,2723846550,3704065016,587745191,371980497,2975698392,755820639,2732573408,1769658928,2952543144,679631160,4493039598,5357648088,425595112,4795463370,3512478320,438892201,6185963808,8224352928,597708048,1924190091,3130803084,6945465582,1077425935,3885671496,7814925513,730802072,3286397880,665597608,900931227,73272059,96681274,3603514645,1747377664,5078904924,1637462012,5793773352,1354101352,2908589796,3237911572,3996304590,3870344499,168139110,2865288740,4919529755,2576355502,2787264435,1010306540,4437625225,2414236464,827027256,8867450565,4835610766,7478025152,893135092,4144205825,642181110,771310068,4092916305,267587275,2259491884,4862406136,393814342,129126570,49756305,940898824,620863431,980190945,2052199,467618956,791487468,2959941760,2211814688,4702212384,1632596790,2611995536,1646797040,4240467770,593951022,1554312192,4849641336,4097630160,1415828852,1083970908,417899013,521893488,426361791,1839333807,2079699339,831473064,847574716,2447653014,1768663236,6694745056,3011518816,8191545912,765570054,1392208412,506708235,1749803655,1634522192,720137713,1538451190,991390821,1910454728,1137959122,4133610864,5333706513,2847330060,2638825392,1419360408,3526556192,2620548861,1027105521,979463127,1794261804,2628494372,481790913,1955683602,1471642620,504901386,789963272,6923580507,30469924,510065316,7324879112,6104587376,2671807800,976908239,5852049156,3752739405,552971559,5614360659,264494247,1452519810,2062628420,94676750,364953852,1410690172,7066170504,90380712,5242585668,5296560451,845382744,8287828767,4258958408,3492965210,3401639628,1665374535,4539459432,256391750,417058784,4902525063,5123102176,4662849688,1842944768,407052612,368177515,2147979024,2343102516,258311942,7655105216,556688460,197318490,57502438,652772128,1527706876,696014820,873762496,175176515,1181316300,434554800,2885112902,4487072520,765599720,1491693066,4124219517,5758236302,3536960796,1158322916,873498165,1835630982,967166858,620598050,3782428016,5385883368,2681816875,3262974849,841747105,761412630,4157714152,2045350808,1163179266,885774408,46257088,262497451,5831073756,2120964935,3517527984,2475220,2416930983,6683379731,1635088334,545357437,1866991702,3703522132,1721654820,1002655665,965744892,3661216496,280196533,2145664674,6822215743,644009005,1846129360,2746475312,2170162080,3915221553,2768845912,308863173,3436099320,8828065125,502086920,4463266932,2666839116,450739364,911521366,32755355,87083354,1949836545,3274541208,1535494622,1300019433,3911488140,1975713796,5878155312,863377152,1732711328,1759745340,406535624,3326394411,2600533456,2626016096,2242769250,1084098830,1989789949,1794185586,1754490984,5326174007,2542633595,54503283,5025283235,453167580,1163593263,4424163160,1167500140,2718105432,4019576,114387304,318576026,703354124,2784691548,429407918,5299256388,4540485845,2554964650,1710635326,3994517408,409041664,888699694,67666570,1101300768,6925244616,848388608,645999245,3114801966,1920541902,448103160,47506068,7466222824,6888948064,3534744795,1843991742,5185113704,469980504,4637432700,246404550,2797105276,8069565474,1593512816,1716242946,910767653,2350685100,2769083208,6798021903,4731171561,1182119976,14292302,3672344268,3050717970,421533588,970758740,701629950,3236760793,237710040,2723304008,2160143308,32931496,2276792660,4027559291,1369848850,1482407736,1288635801,396036134,4993447179,258623395,1355998788,112802280,2302909255,4468838206,5581459020,799843432,4334934588,280178684,3482745480,399226912,3609442886,204134468,1699143362,6604622080,3148606240,1797985300,1725694850,938472898,111237195,5985536352,3975542772,6182113644,2454134226,2546242064,679031560,2722554192,1972760702,1103224762,1255669200,1192022730,52809723,3375444664,39353775,131559813,3792830565,972887813,2552653345,4958411106,1758115816,1990025802,1067511300,2017159404,7382041104,1516933834,8826215526,1447190765,1156693953,3238473660,1798164072,7807709680,1204325220,2723662179,311511235,243917988,210437008,771909512,3357568756,2783440830,6121186043,2735566370,1588637644,1965930372,2128931112,432775620,2323466072,5611902576,1235451855,3348219396,1700186966,1726372863,1320841732,3517416474,701111574,3585514050,2463750849,484005672,1851375627,3079420246,1623464973,3749407302,1496188740,7967242136,2782577643,1660144024,6458141544,1087785426,267070792,2615916654,8816597190,5607875364,4273355010,573981948,7969289175,1485829331,1402585630,3568629930,100539058,3932335728,211229822,6054429060,158649035,7125493200,2457081824,617236276,2682948891,969723200,4037335056,217895163,2912345691,3319727464,7635678680,4571296387,2052593115,701990569,4572834672,815849303,779824528,1356768057,198624376,3456089070,2072344599,5249004450,4036441680,6985162723,819084822,902635103,286516137,702323397,3604512770,379875758,4201999760,287220563,1301689344,293075471,2358131850,8900084772,1158070624,3744862065,5404431054,324293028,2857958910,1581313181,813975896,827606301,3979062296,2537191055,4071748624,3605283375,4933069816,5249117055,3200088788,2293120832,1866075612,2753320528,182540295,2639298582,2889076564,133778424,3355240785,7807387744,1029669896,3401788248,2702823545,3749681271,1875717570,464719072,619864665,691012434,581462044,1965488749,8401354992,541998174,3109048200,1065748452,1515749710,2446830927,7971012162,4314147271,4691760516,4946520006,5288506254,5880502251,5890935519,1917996,2979673473,370088605,4783706574,4350394237,3658500062,1000689775,1025041206,993764020,306128504,3342612628,5802846291,1916158776,123703154,583775872,5293706712,648122616,7899232698,999207818,7301131794,1657728212,370674138,2216191504,91532364,3714807710,694758180,1877975180,1190236938,4287833082,4328318880,4000466183,3845571317,20044770,4980073930,2330537732,1989137316,2160736403,3003286867,405403092,1992634986,1314508083,1416368889,773202471,1900759380,1218522780,116318054,2125442661,2540419092,682910304,2614177005,1191018290,5781660276,374688344,720180000,615963399,853301726,3827477423,1477564352,457847374,170437230,1343970466,403149066,5647932339,381029722,480847629,6970150000,4912308545,6250719447,475164451,737832375,7723681884,441355908,2764669761,487600554,1169111296,5119326702,6265984576,5534418168,2379761925,727645969,4645816092,1286765976,3911881673,5149765932,1705724586,595634145,2986107774,7178531922,3468669,3521395364,1861969000,3462097944,353742687,3800826284,2003914836,884086187,7087414536,613409082,1528313784,2453321478,635937526,736582518,6343100712,3263083836,177427597,1315066176,2316788212,589139448,1245128586,456777573,661312967,5591136780,5941831518,479129134,1609653275,4922403176,271066490,5368637763,396603738,1971530435,4998288960,5363789096,3215437288,559364625,1540494864,34779358,305067405,1813442054,670213859,606463518,1829477529,2092574029,1304778920,4431870030,340383040,4554182552,922468815,1517208428,3831957935,4833462440,357569276,288943924,209808900,1735640724,2010553155,2681348408,889791888,7967640728,5945113806,272915085,7230294990,1207033713,2122707769,6323445898,963514990,1197572985,1822025025,4835993742,776177674,352650866,895278252,1775519292,61663170,311873216,2606239896,439302552,2489112408,5222922460,567721811,215518849,3944684156,4579751616,538695277,667699458,253758636,1898521614,7295213043,340079400,1354569372,1350727070,1747025217,1066680216,790999570,1408285420,533443230,237429070,1363384112,1143543486,2575824624,1943895728,2132686623,979987887,1289735961,605053093,992433152,4744942158,306195033,744676060,3347778342,133680713,705426213,1420920605,5424379744,1521075582,1171673790,1770001380,621904316,7476204348,4931642274,683030010,853783670,4522407618,6194248487,1812887568,5680847046,3032624928,849622088,435546656,4339982725,2221006584,1980824853,2837176689,711783078,931067065,4895218560,1347719640,134019683,3676790520,2806866000,2134997110,3523829100,204391464,782223083,309317772,254448987,1522056632,4317390810,5986468410,440441600,7142808033,4909837122,2856708140,2140305786,5814561235,7957594696,2752449408,4652163272,402811192,3798259717,1397194809,604210565,479724998,1103650902,5589155511,6581363346,2722994430,4674491184,519959495,7313330008,172017104,4830682155,3144453585,3771538248,4639566603,708571998,1746847356,1725737415,2953245912,3321717327,4748990827,1051931044,2637280884,133103682,631633695,6588928539,2775508192,914905839,4828862898,1482487884,407643468,226335312,760140640,277459116,250249405,557938740,63754800,5147116947,1685353590,1987107882,3873589494,1002205828,1116942172,6141464586,476546839,2321004081,580430117,2321242364,3070325538,2237641352,6693618435,884639472,1542893695,847945243,3147053788,2389068185,1509751692,3537860580,545554548,54060960,1033282915,516646168,4771998080,5325758600,1224601022,4491561856,2403678699,2921608818,4044506613,4542349950,1725338602,251184265,1034443396,4578423935,7792996216,497708415,1633271199,3102827188,533144800,6663899116,173876542,5050940184,3723038076,968220630,4513066983,339373333,1107446067,255666664,2775922856,916231697,902786409,1118601632,2274274420,3582834168,519179194,4737004410,1786248660,3361686570,1020304220,1930990062,3518951368,5051655948,60136191,6079314178,2723489886,217695175,3373598052,685317577,2369379570,2538094104,1456418835,2528495955,581125821,713109742,3152978500,2142690336,411189980,1382048180,689412204,6429072755,7114874816,1614040740,3022381345,7528958776,431292165,707654076,372818938,1063722435,205239340,59266062,3832519176,5694189690,5406321213,4469112297,5145388092,907765135,1076551385,976949300,122730808,2082109323,929967135,1624684488,496403244,436980563,1547399436,2562531760,1608853096,6725893914,1432254760,4443814955,2198955396,1801217103,1526531256,1874805201,183721260,4773237357,5304595134,6233084459,352281121,4263171612,566987646,3353859132,1643210254,982165144,1205963480,1993622026,1078113596,1841778690,1968972320,6015186072,1686615676,2833763144,6838991944,3318447789,8208825984,1931701940,7463008472,2714550720,528588800,333665679,4491953232,7765750520,898531033,3284246976,1383050208,741656319,2882332296,6346130553,3635290710,5739266512,5908996026,1906320717,4043228580,2189600395,514553978,3214029724,1802155892,5882167914,1973879544,1250634896,1859312392,614280006,1846163262,358443414,1289449644,406888774,1305986824,134718961,5254186175,2024756804,2741300142,744504372,6917300592,4759794990,5943533280,1109156786,482245092,7436301624,3888389415,2575571600,281433909,117473595,6731813970,3900237610,6114013703,2738122800,383259432,1858638956,6620580190,4830809080,3198303387,461826617,2477389047,2757365805,2071168808,318922128,357738324,1299559214,895931194,352808481,2948258664,3004524836,1972817672,2294886138,534474261,5161486830,2832280050,2251060563,1046176383,1608237896,217107288,6223464548,545786584,485838264,769138950,3578912120,502986296,4117978816,633091896,3139878186,133916360,996580164,264604038,2265898496,339022728,167644300,5953576440,849268019,1110077853,4654620015,3801890800,635679111,6354692743,3599703900,3462327498,4308985720,5518843113,470462090,1400000166,332387993,566715281,3474929928,6043195641,728031633,6529150054,1306587096,1254224454,1912072320,2115285450,84981696,340882374,1348135209,4564257588,715248393,1118592454,5774855832,1846617577,131369260,4455253110,2492291871,4183758348,4960679185,1819129350,392925066,124013278,4995007525,2426495367,4878776700,5973644320,71526388,5511845496,2998706940,2976143970,721668612,176341288,8373221280,4559619526,4140161039,4521732856,1080498153,692342508,6733863909,4359880656,2012344327,2310120595,131374446,1604105606,4174139576,5685826528,598555290,3884026518,1563045534,3911776616,2000125575,2365268958,146645220,1173427362,193758441,804318951,4863964230,2255274660,3952939004,4413187565,5550042309,368210559,5120940357,5750866849,3886463284,173486265,7395807375,539860040,846763344,573035356,356688456,2595219956,1705696224,1888168848,2211128276,2734001967,1767726552,807268962,3610351824,3717778545,2480269830,1814892852,2519072580,437686558,81337074,2805020320,795514764,1233249870,550653948,921322260,1355103040,3733200470,1029213904,1550560176,1487241536,2133761695,5370563373,3860533084,211973094,3262710348,1373162817,450233804,1395422310,1483314014,4509857421,962335117,461419282,440929539,634898969,1228959882,5528504979,5061288784,718528654,3069632788,1651344114,5897558844,6202542255,685139770,3204174010,470000598,2373051220,5295855544,790830081,1368814540,4585526065,3455436912,4118196593,305939298,2398438336,368136312,508092445,1857293114,685005900,567376641,1318532640,2604858492,468508716,3362899424,4525937664,7345812123,5524927680,3308093832,3375409743,611598828,1815470248,262189658,5920431360,6177416823,3482483240,1106370704,1789583102,1581417564,1861220750,4028196473,745180173,3526117301,1791262544,1124273574,1890783240,3330124794,5431609120,1249890202,4052518792,765190484,1754535090,249654664,931392864,415257031,4627976946,836201420,3177670368,3136021641,735650994,4876164656,2125049100,3594949782,1526332844,5962267164,4659705784,1896223996,2545296822,238039844,4192200450,3308804005,196097328,2292328704,2529690456,5364021110,3600187544,1553145650,1204863939,519531183,1974433407,819083734,2399456484,949130712,4596809408,227760431,3074836404,4053919597,864133494,3284957936,4600449960,4058405448,47024394,91373514,5572230232,632183797,6520202276,718466504,1403952336,6008823480,4805427095,4790317352,6566581242,2139910839,2753028735,796312670,8519693886,611526678,3138027964,1982061456,3788178828,3954062622,2140577328,1172796720,1995962336,2180706520,4949783217,2807726580,5981055102,560745120,5600602863,3476746888,6480269192,3507087357,568627631,396392596,2933602506,1337994240,4321469096,1910386816,2919091701,346035564,809314572,3959723748,744425948,1362595746,921144768,7575490530,2456110008,925978446,1136112038,832227573,1106826908,1520517340,1489671448,7244096256,431297016,868353552,7380969632,687811380,2628129840,6456039136,473293658,1130290010,1578937826,1524063176,3020726176,732177616,1051344392,2083371282,108596208,7153982848,556733849,1486775676,2520913941,3224816028,3129512862,1373672907,3240374984,1594186614,6908533408,999255537,3302908819,18599898,1590091818,992560716,6942518247,6647951702,1145489192,836415882,3553973577,94210230,152393863,8556340797,892651791,972075879,1446979758,6165365984,2913246858,576224702,231774723,247013463,3442030620,861131178,581563898,1589044617,2878046822,663435128,62586666,47307297,4996456906,209592240,2750364748,165609504,7133333952,329796155,5722159989,3032610406,2004408272,5137476579,614436422,1150006234,3716215840,1749365536,67965326,8203248621,6518520848,3444361548,250255358,319403693,4893280780,1145183823,919725965,6003473432,1210356516,1897291890,364994346,46196564,1709115604,701730782,732112564,1304809716,186942756,2802357840,325412052,987006540,1702199390,471334473,1725728296,3584186832,709601115,5487278923,323755763,8360695233,905196270,2768747346,2411535072,2045336328,7871921784,363075552,732782334,5418833820,491211500,432038193,4249640130,1693357740,2685020808,2604948321,6095654604,1545878523,3420555846,856718187,8614096587,7418589804,7288915024,2246281352,4364393180,76213518,774647825,3326505930,4605396120,228654783,1783310300,272428624,5607740,197640792,538212057,1160102554,563235738,257797860,3502229375,1731747306,2439039490,15664076,194673829,1210439150,2282921319,4711908753,4618589058,2082028146,1965319618,4368922805,5312964834,3563180610,385424060,1304839683,2352832990,509246873,926053744,3014129545,1847144568,952944174,2525351060,242469140,4119133750,1205925534,3563189658,2043422358,2740274211,2362136802,364064758,4858546154,2284342120,416815729,1408416200,771114914,1299014548,4659192250,419963764,1371999880,2350444150,5515962618,1806313467,5108985763,2269265118,2717604042,550275021,2422580355,1875617480,7271359,2335685784,7192205955,406863906,1254284336,523129671,4143372402,86460406,944964585,434112708,600286384,3800499480,789119461,440380976,2367651939,351113171,799955631,6942317256,802781700,6460373808,330529413,1716732894,1163803156,2885308179,1724697486,2938210220,3522507653,413289552,124490816,2236542406,138818391,376468845,7772453200,211136891,5432095634,4954549077,1135106560,2912038320,107038548,3826630638,2599755123,946002096,1612690488,1499875665,1247459118,3983758956,1979726360,2693724312,1109692730,7979410242,675662822,4763662806,421655916,3855852704,4022351814,2795721576,3393603801,2037540990,4591697328,5594637468,786607446,3886578584,1692300378,5480925280,2095493793,2063216660,212129630,145591700,3464153552,3085608715,7288390035,3645012591,923622929,3965640392,3070435824,1266363513,7721553608,2584890889,51547951,592144544,245847208,1231655370,5312913366,1562116292,1092263198,2266805424,2062937210,2129048672,906190357,1726380628,7639693576,173968865,833882754,43559724,3295704332,4456820724,7391868228,2659006935,44863160,3624746766,1111832400,997457090,2572555852,5572976836,3067203177,444369650,899756273,3532754384,2013104184,1475389328,3609331632,4360342895,2193958476,931819419,126262684,51136735,2294916974,18183126,3728464590,4242580488,758355093,4416429444,3211664130,2529698216,558756373,132923275,845061288,8792068788,2519760890,279751840,36688221,5025215232,483187651,589946548,4472806338,603154378,349210323,4226066775,1648487850,1655324042,435712302,1338452577,6106467045,4544752626,2966398880,1749107952,4625554325,7471264064,2858429120,3759332466,3939193602,989401504,384636451,5443261512,652055470,2339022876,2923374810,2952809640,2390479569,1519823661,4502744320,3126220290,1085115366,3615532038,2320223607,3870063780,1199469262,2731434234,1282219140,1814487545,667085185,1740741976,1547062970,3066035924,1966251280,76752360,6523906617,687450506,3045205960,1723122135,6736345987,835780730,810299632,5984342816,787500924,2266615240,2030625700,2060798667,586365120,792566016,872092650,3019130536,7153134744,3594899290,1862907666,2299223150,4738132399,4336734052,616707695,1614876216,1103706704,604922409,1167647926,1361691585,2458337742,652760718,264041690,540376032,4851936789,176034532,7449703875,54237158,623578956,7339920318,1781737724,1850317368,1192327444,839024809,520916728,2921312368,3550850250,1053383401,1768491487,3997144332,527917368,876124585,515815726,1753088308,2881260630,816507815,3656692242,1745562069,3551034120,5139153523,3130086879,821418181,4957330395,1670638178,617306193,5586363968,2537638980,1941330300,5752080801,891643494,2341944144,6704774377,653274890,736572796,176138786,1102307680,4467636688,136598253,1888712274,6618546918,452108360,8016147378,4102195336,2656342370,1991934148,2683715368,4710097116,5304436998,1365652850,687543924,1883792322,1061545660,7562848008,2651014422,1690436028,1193080761,1677667992,4609599918,1642909751,154899715,690862604,3794749704,2148257442,680114964,3498429580,4047836175,1532682663,5272413720,1318126377,654840166,310497292,1103064962,908731986,1003180480,573049969,1439515680,587268503,583206936,714748620,1055063373,475851829,876110238,500536956,2613071734,2366555814,4952612898,4135020880,5165707981,1517723732,537224053,2936771406,2246355250,3128844872,1294429572,13385835,3720850365,4772928385,1260676206,3015515540,6259373064,171207900,177933564,2306553063,4412741410,7528274720,1735880592,3147558656,2498688185,8071516854,506139075,968495662,1694032948,1655602329,593282836,1966438200,4080959664,205283568,3794824285,1758297430,6743569315,3468941565,2434124040,1162505050,4800904497,664539462,6449412389,7071769176,249693834,7027798509,5439901664,269453142,4522628264,491235348,6425794571,4141372403,700368000,1650044124,1501138824,508283382,4511766177,3991403156,1759323848,1064901972,7295135344,6207689271,4390620885,883369482,1594033884,4035786237,5564048203,1113179395,870194430,484227870,48763904,2677026231,2080826055,1714422510,995343158,2685730341,4101917700,980511472,1196675700,141014308,5381856137,4670156001,2474767470,1024870020,1523457604,1096074040,3480675793,936086480,192497956,414664684,499668344,8730855423,2935293903,1909981936,5489166150,548003165,767854518,300514696,2078023881,354745072,1167892880,728708419,6855186464,1737788746,1447458948,259824438,4708521699,54492669,2595636476,756509284,608413494,252581470,3257038424,1921983492,2398044141,1351367988,1007941092,3819733865,4954010550,1758253224,5229481878,3958839786,5012379336,1603142315,3383523360,5091281082,6484782656,728540170,6403139478,1693215648,1063925278,2256736690,969575384,1452881727,2258892016,2174029968,151296072,962614191,2182527537,168950418,1999641264,4064799230,6032029584,1490814784,4140326784,2548110450,2458833272,1453597664,1406669316,751917773,5115686580,1991695722,81624270,1428911775,5616988888,5091576030,1423251840,3408778390,1053326844,259446246,2175768774,1573397814,8359693011,6859171539,1623179674,677857066,3466178532,4499033485,3766405470,5958835694,2349589720,424381699,1025362911,2435430114,8408124702,432443636,2401842114,2763062268,178501876,690505664,1934650024,4276794954,1801110417,993869145,1122552368,3501033036,934184466,63936538,4050560205,772372880,1449178221,7429893560,1480222172,446575795,5634313685,3532497868,2145510228,4028485998,866629617,1622373375,506989032,7008748713,7693280307,1488750715,1190794882,5310857349,1551704515,7368112197,3209985744,707431112,1639726315,4048235037,2780047360,3901531385,3976096663,1798689282,1891510011,11450500,2484229959,1590107146,4514260233,2529162594,3736279550,2115622532,263346174,1187990422,32624466,2772050190,337941684,160133749,3689356436,2395263372,1707864756,1858243407,3686231424,5829373264,1376283460,3951427942,2780671000,395395612,540874167,410864028,2271298275,2537325553,1699337114,462107223,1563265806,1061600670,26818970,2408888376,1713219108,6365003169,6845177016,975679699,5133181640,2435244112,1244974710,1305169222,44444340,6149593192,1187040597,1741201550,2162857518,898607751,111700684,50876482,543861988,4319973580,5984073096,1504249734,7578409779,2386394634,135079618,2047076776,1413753104,864096092,2240267070,2261226810,6037882550,2409945920,4523909568,3911275494,3307108060,3857044630,5381907408,3963253483,4820200497,2589669222,5481638184,8448683535,1231871763,251488897,2606406999,6769025730,4535496992,350642637,1795427774,649784472,370239790,1422658446,1833994844,1795926618,2099019797,6975745776,1249744720,4772676222,26985906,160332384,710181954,5728529352,690015713,3562363542,549559480,1798520334,967037304,1092183402,4893473907,5915620280,5510995110,2364115626,89786364,1832135662,773228608,772192137,583959464,6840271755,2985959872,763370270,2493543088,2691770040,480287430,3980496592,299083062,4565965831,7450175608,796495747,2137589862,402393888,5029441932,328893386,1593607224,3966332310,507976144,647154064,2551187184,4741645638,8995519602,1485765552,244466423,5315305600,4854220728,4048094160,614034728,2946884280,3406318797,5304606975,927782253,1731188181,6858024201,3048377272,2634239433,1046091536,4593686112,3172067860,556380926,1378909893,2442416478,378777384,92273409,3841576104,401292642,3535564518,775268704,911222652,4514768892,1294704609,197229096,1674921568,2432844504,2382485345,2542017534,98234012,5905421501,939050969,851139048,2346902065,2699877183,2652543912,5184509484,1680901350,1829241617,731782800,940332225,7980761457,171347306,1264447668,714230069,1305513081,8315344935,4436542308,487182225,168326592,597237870,6679476024,3462896538,2186022840,1563093246,4496731045,944779967,6201029338,872096292,650194706,1743191388,173153758,7490340936,1838725266,1994024692,7998769152,733090731,5689247272,5231168910,4520771892,2609997546,5604706746,255119796,306110400,2060623041,852581928,2764940648,1164616070,165029430,881944044,3516542580,3425748320,1577603042,1744820112,1598492602,1874037795,2866883832,2677472928,477092162,3918280562,6705320405,8621954541,2525431594,857543960,625501922,6956483787,5621397708,3796040238,896031348,2161038696,1138588148,4546151256,1821941592,8874387378,3954969005,229621150,94625130,4781456710,2699910955,2346673140,6003861899,370261566,527130576,350514107,1954019244,1025683416,4945258104,4122968096,1650099295,2303797390,2399226939,274636226,301050150,150122912,2007004864,2008560505,6794772176,2758852953,2890329768,2666102103,537085327,1557582012,5229802314,1335278870,2857817876,1721525292,802046965,1743568416,5287868838,1610619222,4712127768,373363184,157592120,2216673776,700633151,1695468810,350375074,116561888,5388809475,4514852115,419302050,505859852,5746528938,863323657,33207923,7447685166,3969149472,2938144842,1488075332,5118748418,784514941,1411686072,1673766010,4443281215,668837784,2392088358,386007252,1457530560,3693891987,1036127460,1683173004,5685395550,4962762325,3680575380,431490729,2926414629,1059535435,1981083285,373423740,1558432864,2692318671,3751811688,2494912296,1022575105,276894204,5145324499,2730027195,187691160,426846227,2535770035,5630034888,5478007572,129517355,391553733,1858595690,611478940,59179421,1004707839,6896401947,4236613950,673115865,4776505955,3341092344,2435402475,1455808467,732350921,954404702,3900398652,1770981280,1410736971,638214784,474614204,3015580060,2862992256,5382085268,578285973,883826836,4090984146,2833852636,1049193909,3071372952,2389491807,1053940824,723398256,4094954647,3323192328,1097993974,5742008346,638587720,2995087605,3833722700,177374406,3431556864,4153483740,4566245352,598746148,1375350588,3956143590,819639498,2572102528,2892826833,556351628,4100653092,3039648108,1128686106,289854240,2993779881,2899153335,270770552,1022656104,5092581392,487886760,3289257188,4385865879,1140254072,5356640367,935216967,1374180080,13936474,174753758,2557499660,7395321015,5044988256,2033676624,279667356,5062246595,702921191,6605700390,2622305368,630284238,5879019213,1681693264,3302746496,4214614206,5797497256,3439337900,4012854605,289061709,1519764522,2572074054,212705637,962577850,7670344662,4117282841,4250562696,126492228,3122690920,2148417550,523756548,3604070652,485013095,3362178020,6779330288,1045159448,4276329936,1761013166,1603010248,715250104,1660313448,3100107156,5503575834,132255737,1322900474,6330572376,1721481813,47263786,1339400706,409963650,1400338359,5714523336,6260382306,1728395816,4376589654,7147256940,5074470728,1310619060,327247303,742545144,478312812,2708195378,2991969264,2516032008,98587626,1819313910,5591264958,8507120418,715863920,38421318,1886098470,35386589,1959275974,132218304,2493484075,3737747145,5555858432,1228955193,971860178,847032408,7945539552,5747350872,32245268,2936748415,2154234336,4073122872,364951596,4027732975,3561287526,4161361257,3116124372,526032454,4682518135,1404672384,779825188,1287160464,2779590294,2713306680,2192292627,1726608635,999915152,2483755870,1441814481,764215005,1605199288,191058630,5342718325,4158928584,4651658840,7374731922,2309489272,6653209221,3282491856,4843834450,1022536124,214760977,900747731,7405767848,3443748364,3930229260,760115732,3457057788,4578252576,946797480,1333211384,1924982370,1846303912,11397425,1454511880,6091357077,2757651135,136567737,636604578,1924643976,4272080586,3653966184,57181055,1013934092,4848928072,1030938152,6579529236,535548252,36057750,3625555325,1444878108,3835759110,278498088,3640208364,95206943,494467967,709247105,2943423348,2795451435,3995626112,5770240680,128952218,1572201741,1221170622,3650685455,10257627,5547553929,516521120,334966694,1874830720,5704608968,6840160257,796911328,1555930562,2103454164,493187252,2991367395,3813261020,1251358083,6245248734,824894022,3603097365,5663138940,1468016496,6769441665,1280295192,3403357734,680171559,493293746,6366055356,363706182,4506247291,3617556740,2001066174,321006366,1470420996,2931725660,524626185,22826280,3587399694,545963283,3351354546,830480592,2911732505,3931080620,4010929872,1682050972,943711880,172291050,3776843312,1802976220,4061106324,649649615,5718941820,2881490868,23446030,1297845920,5929061168,3844002130,4533452336,2790452196,854980973,1431458264,1152052551,3027426476,955055352,1781249457,3845017384,703514534,6142396080,1182571203,1282267250,4311354904,3777372090,5300695064,2021981580,571693016,1622421260,1468748704,5013759540,290304504,1591965194,935880088,930133641,982868698,1004097996,265072780,948735176,3480875005,4799438488,812091972,220322770,727743764,1672836748,408819512,35588605,793555335,7400251431,1232809200,385506910,1102658211,1756222346,944299988,3011242900,4332065112,1415547413,1428154343,2005326228,511782870,4052398632,1848444040,1674256670,188452122,2655204450,998826740,922433366,1829400549,4756348667,2071029478,451651212,78712092,3477667104,3953028268,1934145186,798884859,1951175532,103353164,1398006010,2398521222,3113689950,284800910,3502353925,3797303436,1876692464,5434962024,559863056,4622320746,4523121534,972928688,1814197134,631092237,2326204650,5820494533,4606648488,54648786,715376210,1445989257,7380607696,2700844848,2852792952,2213554284,627662980,2400097365,2002869216,1115250975,7847534997,502765036,323706488,1629590565,2776958172,644155780,749425300,5095565132,4471304238,966749904,2148804495,50714380,5125593837,425750966,110786972,1744509520,3822176826,244800996,2225874980,513749360,427632588,6309801072,3580949768,7968823280,3558322733,5466848583,112397935,688995399,579303829,5634322218,2079444333,716467908,1833233031,7642805913,4463728632,2145933205,4918493430,5545657440,2622867520,5235405798,516897090,2346645105,452036240,2313562684,5797198001,458135502,1585029198,2600508460,1761741380,5306370579,467944756,1879149648,3193480648,2286299240,952395951,7022038480,6235516987,324270578,779416412,1267389992,1506762880,5081879440,5421244,2249798292,945994680,4273187760,120880962,7772914016,4824782856,1757382570,5786913864,163114448,7803194598,3030604263,3107678988,753085521,1744347808,1391605495,3914575816,6627464152,251675336,4393422192,321193458,8028397899,4727559600,1668153,721238931,966037238,2510302914,2699115020,818983479,1058150314,6908449599,800011158,1406085924,2870574889,4580320430,2695665091,416325458,3050888088,180581064,6157674369,7384896472,1128702508,1528125228,1405203072,747207111,414071319,233529354,2205518721,1094670470,391591655,2581816554,4053727587,62548364,3357866631,2309198130,2273340715,7006505220,4506705594,4056453504,2752436584,4204476396,1034464350,1199621650,1918935260,116209848,2264288388,1319992290,625426299,4186919884,5716522752,3047633808,5065479356,3428491549,2330567585,3226243433,5822773404,2050404474,84801072,202210249,4697839468,719030873,68043556,2270076088,3967652142,6623986328,8683761447,2160249888,3686929068,3946094225,199552037,2815119924,2728652288,1472312340,2817256320,681854600,1893068648,1092005622,1823616681,601315338,8635374045,333300071,1799098516,4261767945,1603852998,2670101811,2582076846,4494527973,2569328799,593611504,1691778924,794292538,2605008490,704438750,171234378,3212899176,1019298636,1822098016,5164598592,1982628900,5667623109,600148945,1803959168,5603188648,4457303305,346283970,4744686775,404565910,4278510033,2941181892,2323785987,1892632326,970662556,218280713,5923291632,2047863462,100376546,267210337,6240962343,380536630,884351478,977969482,5273730832,4629135973,2651581772,953737454,2774860228,2009364252,1534142802,1276178506,1128751239,1209939662,3884373880,3921976460,3553790240,1063709882,4209737976,77607453,3889955580,374770999,2600503552,134430358,650550658,1895305880,2883588532,3104367768,4046586216,34076215,41584277,865033731,607749393,970167804,207167508,7259202063,1419359316,2941639260,232455294,140988414,6502195161,1738687164,4805003574,7758080883,1187093728,359253544,408773603,3527248716,3462566000,3781586748,593539248,3986630604,71742496,298718754,1084193888,7757444268,2503855856,378987129,1086790089,3075612348,5121572010,1390679354,412265293,2734409085,2546034000,860196053,494401513,4609513072,3744309096,2363586024,1307188828,2802419736,382171242,79270639,632345936,342037482,4020160472,3968257494,6562479592,1333420575,6445165815,3236616304,3997026072,1131333115,4373797806,537668697,5068804349,1509070180,1858434426,3155293239,7797150774,3369238280,1967812910,6566528493,667929785,1308145198,1039294611,465530511,694738800,613844781,3074009440,5686884222,402099510,3702873672,91636134,428209401,4150524756,4732846314,101734398,4952250750,162262903,1025640488,1363273952,5468878503,1678541064,954434853,6110329771,2133795860,3292729584,2285180298,1481723634,2413395964,2421268515,5934728724,2595211404,1213434474,721971140,168726966,1814947572,1575925547,4270696992,5654434152,349350855,125443167,8958465837,2272524570,4428266694,642673907,7967135272,528878151,2165011560,2141369292,781547613,454413760,4024888230,1849207149,7772546889,1341471006,3138968736,4598868035,4487406738,307830480,372300772,426210085,3876754975,247764845,570003862,1765428385,6561496128,2873073425,7437160836,1828924716,2821187888,570651792,2845903220,6708946032,5408990658,3547229490,827340060,1557623732,4668187464,455995556,1897157466,1263706368,3710255772,2613449596,942978540,864261938,1430597072,2763702340,2781774168,5607945042,1096708310,94492804,186547797,1731456839,4752945309,853400002,5466221704,3434443537,1260254316,1672186355,422731072,4055331696,527444278,1261269818,748620335,4640162172,4026246040,302586520,4750436504,826616748,3702984465,2355567138,2198227071,5150631900,280417885,4900271466,79116037,1701855830,5816258394,279780987,3692897154,6894417960,1393548207,4547966112,2101105220,2456000073,2673727251,851623194,4566692368,1224811980,2265564328,2388007544,2605080600,1338814746,6401436713,209881185,241194660,20261957,1996683830,3335815716,2276648766,3406712452,1143983588,839431095,383018705,431608464,834096795,1844411952,2099640987,737558840,4859862770,2326388862,9399492,1995559705,283309372,5314219099,2519284578,1061388536,5899046712,2038223485,376966899,85301780,1586948092,2443937688,3300773305,1212676068,2579129316,2556187197,5435800020,3546258462,1216974390,795214974,650278335,65667920,1250601604,136003209,1928546214,2881273152,2540531504,1340277496,1575059220,299631382,324607196,2594283432,7581360696,764034352,3629066432,342609098,8546836518,4958853225,6371154202,2231473746,2763146232,3100619600,3648275512,3068992368,2320266952,206135142,39429400,2856933177,1086532958,2117559171,343046294,1525945135,7858342376,858898092,1742031248,1695964302,5298362784,2795617488,2460609864,8419538961,6132797559,1979574544,175078086,342572220,6700949748,6442186688,4854744874,2481962484,4237346834,88485636,870992630,1695579768,5984824528,4434116905,2265686613,898710410,504486162,3770625068,2382384448,4078971825,2434284275,3777559116,2777639140,2736236832,2642069700,4816615544,3453558392,122175742,3982639185,680319477,410432970,1991791064,1306174038,442434735,5256776316,3797607768,4101840909,4876934916,523890166,275031176,7271524827,465681040,238361206,4362273549,2100027039,226590840,2144959295,1894847656,82918671,7463877496,4082095759,799304936,1734055053,2043267021,543910510,932022252,5375464801,392585580,62298608,3426453204,4754046941,445727177,590623461,6020094717,5307533672,1451032869,5981689701,5232224274,7072876962,57625428,1320599943,480717507,5263813952,615554994,2080517682,3358247688,1057998796,4016357100,2890581273,202712755,524935996,7422806136,1931954468,773056676,447637644,3919803252,1599665648,942136236,944388460,1282047020,1380292448,4110013852,768117744,7639049682,775243120,409124370,349857928,434393654,3142380501,3808729264,7297360866,1140024282,1531744074,6173153504,479714714,955524987,213159522,4460211162,8214762573,7729119744,2364576462,275061340,943797546,2813263248,140903854,50219937,741551796,15863039,307974165,295048206,2867997468,6493958451,2715568752,2962931840,950914840,3867244353,2989414472,5632427706,1553659124,2600682048,3729757521,871333335,4231806831,1306145394,2971257936,552904306,3454757692,1779481794,2559364591,983945988,3255930225,1003282656,2201140193,568040100,5359804163,1616643014,3847744770,3069872502,2307773463,601576914,3581448591,2167620861,235446568,83317170,5081124870,103852464,753178823,130908984,360888888,4351171626,741317469,213503461,5713254342,1940213652,2891093872,4173428217,1367268564,3596316040,327242920,1620835776,379052146,609027727,2928575456,901157896,1523266840,4678787824,176532206,4497414576,151869870,2094050730,1027810977,6033747320,1061389917,2639480610,1001241396,1160155218,1687683815,1395998439,805254554,6485344520,901691132,1818063940,896189952,251070786,2340044625,4230083988,4260055716,1220071710,2984792940,246634010,590966190,1506971240,309029846,1630318488,1993709853,3990937098,4697420115,2399060880,861527952,5145547384,5904206952,2093318145,55948848,40847910,4418580805,2884965348,1487721528,3226629942,302493251,5043060855,399743206,5407758132,646117792,1102279713,970384365,1693470771,2509383024,6613566440,712193006,1276852728,1472404358,4328815530,4407480560,208054995,2561329775,2925615144,1681409382,98097330,106956124,1109766150,4602907491,899306818,368370523,2377488393,4883667327,1977973566,2578433589,464331772,4012420594,203843508,4592000952,100583423,2408467110,3157671519,3134866784,215232234,3276816108,702575120,2758386000,3318732739,2059766676,1220238114,31225563,6612780867,573819455,5550587328,5860361634,5698339780,2352372796,3074490680,1035851304,410712632,495515300,969601612,6742587832,135459952,1413373947,3459207249,2269022535,2209995320,459947829,3845953209,3193875065,2761085088,390024824,5896359976,2376476232,906186167,786805016,1980510588,1605948948,1075382105,257340979,1995798905,113042082,497380640,3366812088,1458155250,2072751696,235142180,161692230,5279818062,311024706,6370537383,5848242696,1432519050,2422845271,1334939958,1719790480,6355333520,180642800,5436023495,2655019436,2851395920,1672963572,3478483584,1245400128,3917131776,929201694,2625035067,4962116196,836515279,1621163859,450330615,5713828368,2484373375,3636237592,3137775595,288708788,344364503,3395336784,6174326040,789182317,3976924770,83704705,770132912,1513594050,4011381768,1145347086,302367224,23790768,2503172005,560337924,1171062072,2180422212,3311105076,4480465458,779825217,4311882729,815962432,4857890947,950177237,437206626,2382134994,70479198,1560352656,49364648,2387437540,5272487997,172889341,107699091,1297882593,1882841345,40925679,1224868704,191150343,677614400,1725511886,987361302,3410092320,966051690,742586577,1415357656,6258320856,7737122056,1372538148,2003602174,2025426325,5184497624,1749818631,2915542512,134973838,1677248130,2209914099,2737282280,54129780,5248094831,18478083,2487881557,4384997568,572216505,3434274282,8185634739,1969956105,565600477,1195370720,7160764590,80056348,7646868336,2536358336,7913790232,1585226205,2046904576,20203402,5334564276,4101424280,659420045,2773682304,1360155546,2548305045,5195020313,289167037,421371233,2048061610,2293215635,3724905320,782817669,2279060750,5157917274,869611807,499068744,1507032456,1935437680,5591982392,1578600600,6661642656,7537802517,69314037,843744744,3510749032,1939564934,5390002413,1287711664,195512708,1787041074,1527577606,3369098622,902742648,3604121136,371514516,679973804,6424506767,1897804647,228837714,6893629551,2382257664,450393571,2944887066,7978832432,8000965260,1946621022,3153729160,7101233640,681346248,177505165,1081297071,3283537988,1654876708,600609102,790725294,5083868352,829755185,1701311130,3245115684,321989443,462512019,1356128562,5160459178,2732012982,5431486149,682780074,638124378,160392748,924772307,422737422,526833378,2721086094,96684924,2790579372,2212892528,1863658676,4005915280,4218296478,2227637721,316753048,1400569508,1233482369,2579072144,22796724,203171304,231985222,826858643,2283184278,2416749870,1050448679,355785660,7076708829,2515136520,907348630,878366910,2456696304,332284180,4997145979,1434777815,3763818654,5533885848,2010788315,7316879202,751936656,1622517665,968478947,700063701,1160754576,2033275520,2322993848,7890874432,3866512875,666926591,44687064,5826945376,1034381244,1185852006,173377548,1702242184,4526415882,2184180360,2804001116,2207467504,1432427518,649643952,751926784,4024247072,232247426,1014736896,1158965542,409612348,223269196,5808217698,108461724,270357061,665074509,808428294,5495641354,2912649480,641390227,692206435,2999390112,512176425,7899566499,4833381966,1205572988,962876104,2432487832,1162538750,2323183290,4168912240,218984386,467116378,5480182708,6531939664,3659584167,5866433048,42681142,440705339,256863410,3284354740,169105820,751651278,3187943559,1712797632,2640145068,5981497299,668239691,3712467670,4919865867,1994572539,734631788,282183538,2999925063,1873682852,2521962300,3286040166,5939658690,2381198770,963008311,1172296220,3359878268,3034839136,1927198668,1351116186,5489868748,1165404378,4775337154,1956728664,1848870688,5692842729,1804101039,3914947080,3215489076,1562027172,7792558830,3403421040,1030910560,774397239,3375540716,7264302192,4232035926,6889238286,1238670969,3773671662,1276708055,336551892,381216246,5821595850,4639897188,979659666,3687793464,6999589672,1673890422,2710236846,309430447,2323825755,855254962,7177618536,5262274782,1427230763,2475522696,6986396112,966565145,728491678,551196438,309408804,2825692896,1947405512,3160849248,870229179,2932785999,132831670,3035582053,4981374105,4029905886,6642639864,472835175,1208956738,2952748475,609010335,2119005154,2986740960,2840589666,1817927856,1129264458,1066269816,5424225695,2754191225,5683561119,3481240960,1003113020,3230042496,2393057955,1354266224,3870724304,1964611120,2459197335,1262149590,3573475911,198802710,1520800857,1020137976,361876247,6162902072,493739984,2387741724,3679771416,638438793,2913656562,2510412008,1928849784,5078711439,2005066040,7572783465,7560083331,1999221070,3100088488,4027131696,5606543118,628266510,523669990,845149254,5923581924,3458590735,726058563,7160480451,2182803210,3209251077,4862897168,977262342,4125921615,2257687130,1113094344,4509778565,548817972,3712544694,1304463231,1332706896,1054496355,170949821,836048662,282077475,1123699293,3660125190,2885449023,50499748,3052961275,222667010,934376370,1738168218,1075623054,4335268662,2432278863,981581582,3648318425,6495680835,2417181504,1960439176,690175239,123590006,707096243,4856209083,2366647588,3395681350,2442177284,1590873804,2753309552,1823726195,4469706080,3418655968,1984082634,1368718188,4306407390,5834475003,5244786918,2385749706,1153198728,444489400,97197452,5669275122,6638498388,1239605565,1674577832,4073306568,4880786080,5357726592,3142449708,2277287712,232393227,610881094,763889672,2717100828,5573077080,1154079218,3097581264,2361848904,960740336,842908175,2978583258,1360091990,264803842,1308872889,1234861620,491920069,2550451911,630947601,153451158,3000208624,165215664,3614567405,323704082,2315421296,2397116533,6497591712,18470965,2672169304,572926370,477160306,2759527208,3669338016,122112980,2770391836,4253487189,4125037866,758205206,3506159352,531724400,887556494,918455998,1674708900,340981823,346443125,3632088,111780101,1020557400,949088115,1810388496,5453764029,8141743404,369007330,767373170,3866177706,167309109,5507111824,5098446199,5465222568,828743480,1234428116,1524840282,1009273984,2728309164,4875395320,4890584628,621828235,5219970984,4674414612,126124136,5458594240,811496312,2167436817,5804145192,814428432,32004182,1725130132,1559829992,8378790363,845923508,2903201514,107024028,4860051246,2449816890,703108652,603665228,2065183116,736382528,2352655512,3885955828,1353749155,1612028520,1490468504,262346367,2819147625,4595956195,1840568283,640637086,64624436,7002545560,1238038414,3098528465,331752736,2165399382,2415242061,26689836,545265844,2899065054,1001559276,4820827088,5089829214,2610597360,1344253592,7361375544,635997401,1297146060,2060160744,1581239316,1890195435,1331629722,2337725388,212286118,2789595268,669346353,2373491736,990548466,2068333540,5735233494,2650718637,3055718540,231908467,8766555606,2996179660,3907996155,959050246,851911853,1135428940,224934192,3576406328,2332460900,2351582919,2441038782,3214852660,5505417189,1670072972,96302278,2135214588,5466676208,5130092863,2892691928,5772498402,2393529420,924508620,574592039,589902160,3751741515,1747944410,919700848,357936234,5030310198,4974142293,6906465223,110580134,5703052089,1665317008,266267252,471250298,4555394288,4937189340,422204900,3356270469,3624851170,276630915,344986432,8536371903,6186818720,410605502,1715676845,5419766340,861474880,5460965816,57325544,5056206,4637329832,985005200,2950159744,2997483834,4755772125,5700053562,5321193684,450790950,4868635920,6618486216,1250083094,2914154980,5185166985,2799902319,879414039,1881292312,400054977,4878972606,7702309125,2020410726,5513337704,2190145503,2181757608,632527992,4064052870,970923375,7931076584,785188128,780048180,3304933206,1644888324,1290901454,701520304,1280313446,1115505284,2944299448,3097666755,5077276911,1442459054,1926412468,750416525,1977825380,3104430952,1333671264,1193180125,778003740,7819095952,7424749184,1357154900,2391566730,1817321304,3160055236,670956096,94160516,501403024,911739712,2983113552,7665151192,1954872408,2479391136,2398182720,982826840,968406270,3052641050,125308385,5313148002,485001987,2731716988,1845479900,2178864648,7839059328,2141906968,5256485274,1788867032,151762020,1124362863,4014956060,3826828000,2599163301,3573988735,455390425,384166728,873724680,1414437396,3244881990,4742236902,2306875748,1387091720,2945090040,283687740,2520119514,287288996,3875896654,1533204544,649802276,32780835,849115232,286212881,591953481,21642708,670643296,825482893,3675877638,3220697452,1925089356,1718913518,3248086203,171286014,2281451700,1725143304,361098854,491431370,629186540,3612276855,213891821,3365473615,4364421525,1299993895,783981864,801147930,3903252678,424514606,2808559722,1930784815,3255429320,5100772158,60201095,7957876806,105879736,1477183716,4920160777,1299248876,5608796256,1543988736,2162203749,333623316,2205755460,2204615652,2560415768,4865246460,3862124968,378279735,542368833,2943751560,587277065,831626028,901513296,1122586608,704165552,2454957897,2779360115,477836064,4801040176,2261300336,1010332892,1286086164,121020588,6461572851,2622241296,3412758816,4430327305,278002654,3043111496,6190065747,1257562712,1235019030,1172389068,4986879050,1109954493,1473509160,1623742137,2321879148,359014434,563986202,4980871140,1733355995,1897085943,1092981672,950420429,180037758,1589092992,534883404,5912762597,2425271940,997298857,6644751496,2538519160,922096840,193303476,2188812775,1457121258,4121893341,128783310,3270504438,7380178992,6407252460,3990944886,6765589392,115974012,462270910,1972164495,3120769376,204104640,1052579345,3718135590,1701335328,2562259911,2504628024,65145080,96731980,5728781912,6843400110,817392588,3278810520,1315825586,3248284086,3411847952,16465272,168801585,2763343289,1390178496,103266946,3297230160,804832072,390356200,7294501600,3213540360,261965312,3383090496,801501112,805743630,5692479696,3160882128,3313129134,5545735368,3445628214,170098080,589015413,4413369290,4754938098,4515214600,5256290557,563439888,1873008144,186119541,298401240,853314475,1341119610,1969300424,316125176,3181258913,4584534385,49223768,4708648053,2389278055,346088457,1042270864,4142876975,2852920962,5515130316,3503035692,3320159526,993127796,1227683940,2914824003,3863943300,1292493051,6652328431,3052292235,458227579,4623990056,312918780,2363397813,1477456148,341483673,919121616,5240440156,2105696736,1355540444,803040525,1988152728,729943968,3053708202,1046725504,4738723157,4329843476,2566575155,2435450592,1737382827,4416280515,2354066727,6165285876,2493556173,356222304,463713384,1410638334,228365576,1896047300,6612059174,2711931663,1828159400,2223035496,3682348443,256678426,1320024604,2228875398,1828434546,3859843554,4801574255,626476714,892644946,1275097052,4286780256,4139531584,4432686965,5769779968,970180500,1744416120,130568370,2887487916,1527092652,4905545238,2869420788,872800890,7946561832,2649986815,2407749129,152169992,64923014,4414159232,2733377680,1385877258,958265626,1585422195,1778018656,1836817640,6827779026,2076064944,7031977008,149580040,219312009,1566382384,1301546730,941612711,596846695,2720842644,1967461540,371663099,3303971552,942530896,3896972862,3441213276,682497924,175855603,4292588744,6178208265,1438073418,886096275,786330990,5093457224,1440762426,956814589,3306012316,236574716,4119933393,832614324,567385026,330827468,2157133401,339865266,2308721697,5551707576,6968052504,514353730,4691907176,445143678,794881080,2291301536,1310933502,809980005,930193355,1830145442,609118340,3261167119,2388145773,3085698170,4639932872,2651116551,1765091967,4911904704,725228055,2914151845,1726643610,999697740,2213941560,2519667384,1002657102,902457603,2742282990,823390206,1802747856,3764023249,218885328,2226378795,530886762,2945345421,1786965478,4111942416,1713650661,2615173760,366849485,5913622548,2447669016,6084385911,990026022,933723400,2677885835,1256485302,7537679343,2547474345,6913938528,8898521085,7718445312,6291197619,1421694536,2501898312,1895075028,178295635,1570092892,2974042648,1620542120,126086854,1898132060,2290679704,7671268233,2233021072,768291188,972336726,761324739,134879260,6508076085,598302351,982468056,5106829518,2135810643,2676478938,2634928047,157955283,509684312,1910990016,160064302,588988592,1080247264,616535535,436539780,1272446103,977057037,345769035,8086114089,12542670,2896758951,7946089808,609281937,3227329880,2773367505,3862938275,759122224,1145546108,161926812,5103841463,980056195,99017816,387883737,592713684,454944717,79196142,2321178336,4328454684,1370025840,3160605915,1530052104,4195786658,3913087096,3392613536,382661784,501963744,989585928,960922422,7707306942,3398302880,389828051,3463049695,2698727034,4146394176,218716728,3529263336,2876656524,2442590120,1031498020,246671134,355678083,993708343,2525773369,893551722,3662797482,1278807336,2702680134,195543252,1243295442,866943987,6579955361,3887304804,2239698081,1082900976,2181158304,2716735068,4434957318,687772809,115632942,1041605575,7421608216,2426334762,3196472536,1748174722,471653154,292854582,3199698812,489629980,4394412000,2354420175,843629409,996684410,594976369,769245075,801828612,3437749230,2056064175,697164876,719847369,4733719788,4699863476,935208184,3668493864,6965349608,3678241184,1919640334,87766300,1681193097,1426966965,6885049410,3920459700,497252988,1086558846,3372458940,2839455411,1283136279,6530695320,2640882516,2474106655,2282428302,2950981110,970521057,2881391256,264920950,3905409676,2624469760,486443148,331111745,5605723136,2934261606,1689329286,2783134298,5262241386,3524119158,1753450860,781455058,2909614770,5755958280,3283143078,81821600,8091352773,2503984472,905171120,1549441107,2212608392,528375772,934651520,2074889344,5084243880,2296108434,1982015394,1631212163,671728488,1510642330,1551379056,6818316256,554945820,3398393584,986375824,5930641072,3915627232,1035237450,677551846,3116925510,5256850109,2774934243,3636265224,1911300660,2333723994,1847144922,4863485675,308735736,719503640,6298625871,4971598824,118356528,1562140719,4776876286,2831097465,675279012,5108180312,3771840155,164671192,26158909,4418052300,1929892856,7162282764,2714929208,2698875384,145792632,152274287,2288028435,1181053974,1095281670,2118320996,3340886420,2247263526,2367477430,1728439419,4731082740,5846181520,7481762160,463055256,3569267720,892346868,1309694892,5156640846,68427853,274611108,5184594032,3310949976,4649580012,1246833224,242126870,5060457224,1768890801,5090745969,831239415,2225580416,4173907948,4871101512,392845976,317914413,1372327488,1690369406,3652970174,1347674448,5780128288,5375060344,3544992780,3929827580,7798032456,2717822961,5745417496,583617429,5516784672,6393319765,3401809911,2735925985,3523693572,1750559715,4112773203,1134810715,147708535,754767881,384243620,695798904,3719791200,4955489328,869287376,3516481050,2307736944,5333355784,5394215997,4148847445,1696977540,1490143540,3701428374,785533561,2688260196,1130537368,448480209,5361431640,2773463580,2389902501,1286921631,1639059933,1157770752,622083084,313239015,38932942,506741540,5565689394,5462952264,2878992347,1432062690,2546471574,5144622816,7322438430,2751765477,748821664,4855310645,2499382620,3912479424,519086000,161249216,4408106605,927149065,976542327,13893400,262483295,509018502,3216515556,4759670592,2783081040,1569665406,2023889322,1164598107,905714588,1133279072,1389064424,2725973100,865532670,4913241125,594570405,865442767,3503982762,19468928,1703833214,837553143,452700135,1026813890,978040031,2038636180,2048804898,295612254,383475218,546633966,6977562776,1010937830,379852980,3219056156,6255684693,458434229,4624316344,6581560432,6118772695,4243748575,4329532936,1720431042,379830040,1202568321,304984695,468855629,2213681504,268847186,3926305244,1376006846,2461128918,5386961010,4507134786,303109884,2814187968,4365156976,3302361546,337563258,3686142616,4202122070,340897260,672110025,6546761970,5084419194,1254105584,1012277329,2729825728,8433606726,1956020814,4805715228,5706504083,680827662,4458775000,1096031408,618654227,1086648655,4335141860,3425315022,1005531390,619935484,881356912,4193992205,148231346,3174298110,4155410590,2952478449,1103717062,632541583,559482698,3343103852,3627154530,564320285,3891655765,1720894194,5566595848,1759093362,922107488,1341932536,4540339972,3609148816,4859285120,4028431106,591879404,7695482144,2042024892,1274214980,1336046585,609273060,457648644,1611394452,1796169114,7298898759,5081545832,1236963775,3532017595,4241701384,183348754,5109027736,1202806060,4670832204,3232755168,1691622558,6252235208,543393318,4608900944,2684407136,2414617030,311551114,1413953283,1294927464,6487966608,346095956,2117479194,5911515114,4440769580,1056063822,4391084592,685341400,2212039858,4959583635,4726415590,4485353751,4387262658,329782720,4712624740,1061192976,1121288904,3629540230,4406640222,2804598654,2602554556,1956597503,3261527860,3993868990,780653104,5722441736,1361746495,4070115744,5775536744,280962000,1319717560,1336309989,6877522806,3376556730,3048569832,1632875962,5447293566,1980513650,871370448,1177983488,594448857,398461640,5282177019,5353189205,6497763616,908075650,730044574,5236279160,1066220770,2396524550,3253995555,1230264000,436562490,882228242,2977954770,595737285,1269470016,3272932800,1103571150,7941373488,4238884359,7340202424,2150534520,1677564502,551364660,1154156804,2725974068,4187376055,4099679980,5920849404,869271108,2896006500,4640585720,239716911,6024830378,3206616592,894733610,3743188365,3300894640,6503358239,2403369312,1831332336,824549582,1531317204,4560725295,1973239083,138543800,280053336,3371167914,1696335288,1419397992,1699054654,2932947735,635913990,3741648144,1744018445,698141155,4362814912,1905685150,5527728102,2975481365,3724799673,2533124646,4649452950,1978572576,4193720766,1203789938,1792700742,1055292044,1632109234,8616919437,2375789864,1939716520,8493663465,2669335896,5501675746,5947700424,1106815713,3111704320,2493134163,3292777420,1926591128,1281957486,1187980640,773947368,40725990,5377231254,2745829140,5279659584,1375598228,2509116540,446389338,1845270129,1253699928,438234759,6881207880,184440126,1028403170,1888291694,2381412051,1856287990,428030310,884335314,4429456470,75943772,570104512,1453831492,6799298114,1139327058,3505219551,1546709352,3671217472,3129316992,5078323432,3315743010,805940345,1918672578,6934040648,3819019440,297686867,3088759380,2066162688,1946341788,3756267320,163618546,4143601016,2354501442,2065171635,1613029940,454879924,636816053,1294664130,744167698,5681841011,8071623666,1557575000,2652717991,3524117056,5961291561,3162561444,643688548,8931507642,322377673,706554679,2283772355,7596763104,616710520,3359657900,366450189,698135375,1595779030,1603760714,4352255792,835772484,241199940,1826354710,180748134,543277902,1184639085,81811912,2188018375,180915107,5060550648,2258639775,2235170517,8253395865,360017283,810302430,1639447106,2800386385,479921052,3962879052,2215275768,4087546176,435359896,667884630,2738347209,2202872144,1154397960,735448456,7007036679,1025602194,4726405256,39082827,140597484,1885959830,1528514675,2213350372,3629683265,221552487,6792060519,2661471864,5210404944,2821197324,23544575,2442122360,1457232825,415249467,4996729728,423909088,3642393135,1165828416,3757627820,3769322588,2463187368,3573320176,1378003456,5103410200,2895367040,538544400,6305924331,3152142714,4132542953,1397636181,4968200240,919979570,1735603414,1643211996,1629100988,4043362870,7225981064,4542350382,6901804469,3553514792,859621590,4228851285,5777452863,4403728155,1482607705,1256414800,632632070,3452771688,857244500,17397312,1728789300,551732056,300388012,1059545200,4844069904,5556749994,1565134496,168769514,2737310352,363932292,1849139220,3992934280,5756638962,3907398033,1336917976,2081682640,2723357376,1877863508,647090640,671805897,704624130,6302621656,495365594,358294696,4664385243,117414040,1624122065,4253878374,1915202944,1339675222,1317956096,4805588694,1208545470,4886145696,1017680690,2228695044,1542904892,2901946773,3843820026,3913876568,2785539780,1360971368,458727342,1391180756,1019330728,1784879106,1938860160,391562338,2267773248,1129134082,2202568812,1772040748,2898563404,2378910550,3389506920,5171202280,5687306448,7831458990,367365560,1311855576,1086729840,6830629839,1746928076,1769786568,2426693100,2849656617,3005740784,730159304,3175734870,2627621507,597196188,1603043271,1699847149,4139604800,979036953,5750992744,5001116316,674511790,4278154136,1227374396,1243685982,207370723,6613697403,4447405837,725045908,1261099736,2932188270,2612402004,7632285040,3803025793,880586000,5205818223,6362283144,1377485220,1648730016,1923203792,5057559102,5564200663,4141750200,5486276874,348687990,8384916762,2422857752,4620782490,318389853,2665611060,7990111408,6677176536,3187209270,3356736472,1562495238,1388693440,1149168288,2015064248,86550702,2911490414,6520011834,734448317,4376565780,4878503185,1104236019,924119365,2824717113,1471947768,2590128290,6456016848,878127455,48726385,1491585651,1228300832,6150604446,510298224,2091420940,5258415872,1453582960,355924902,4871878425,656398766,4700208018,160483950,2967389244,7616274660,1681117905,3282203875,6388263609,4019204400,4942023165,4095960680,2814809348,765186254,1340869688,8735324922,4048078314,3065684765,286581075,3234747020,8580149019,4315385095,3253263040,587097481,2829782870,2175950504,4992886856,1921190131,4726575728,235776016,3001011444,3374778145,885752161,91976260,680874023,273769387,654253408,519420702,2822597920,2685749844,2079429288,4983859695,3603182304,495175629,775223860,2746750860,1157944005,383911335,786842028,1626504194,2009802105,6368092408,3714412608,691888368,2779584684,946066488,5623136624,7281969936,266223370,554223412,1043232295,1892589804,1839218097,1085450106,6273647248,507964135,969623158,1313802063,981251943,2746921422,3686820480,5082491790,1910905227,4604305626,4038093516,828797797,6585404329,8243367786,3171338408,4013942155,6282402219,871178511,3344970167,4630809312,2557368860,2969674506,6748636083,50283808,2433527645,3558603545,490780916,2974335669,2897237121,27581435,2996088579,399690806,740724948,5733117954,3649269735,4887208245,3926182900,2371021544,2604432156,1845486788,2434590348,3266562652,6156293255,1817881828,1331287926,2211941746,3453416110,3625548759,2104590365,2622273228,1853495917,1277688144,2939084589,4559759695,5243697600,1031475592,5387649544,2960905629,2951423848,624919680,2126910660,2361780368,7341366735,5504465582,4016279718,1669260764,588433386,343959500,1347884211,2848059392,2739940464,2247794148,3404147208,3548406264,4143372240,2178616353,2061128712,2135146614,1100100954,3098073622,3703656672,376214506,5278436040,5112496230,3415355166,6580198758,475935509,2968825482,69984864,860168571,3303237890,5287113034,5686648920,2403200583,1832191216,3156196180,4083109331,1635672951,665576664,5426293496,927231263,518715760,4352735784,2382493253,2130428148,1510355568,284047401,20856792,553574267,2470804794,4954122278,3271933049,2049040968,1136975924,891055438,798511488,935624601,3840643359,996107756,2925455416,2526100821,746412544,3208149664,246806316,5711895036,2755252026,4201959755,599618427,2795184180,2409212120,185764172,2861968896,675723332,2493404388,6916144365,1546491980,384253898,354538023,4621342536,271541525,4891653414,3028358005,1724687485,121127030,1106877160,5146168530,1989900269,256376980,3240329750,3160095030,1391279515,2485182136,698794400,1065592640,1645445262,2746982660,5946824960,1808399184,3106007968,2261390754,1686234879,3984324180,233491432,985936224,272617232,1557597834,1944980658,4117699668,8117106066,1131686810,4592333326,9502275,656619933,1251914665,6023393856,582490140,2282123080,57462846,455309845,3033452506,1728917360,5124897496,4243271530,3316083274,1357820080,2178585339,394361944,4062493650,901153128,7931290293,2079070590,4150917603,1248950106,5472929616,3110416232,1386799928,6402036456,2936402781,1971388050,913161030,412653682,6689886287,1909588668,129442936,1539644180,305857857,8125463673,1816872050,307937185,1816229688,2383929620,256942289,2568258540,212521236,2449060386,7338075472,1772690091,2056089721,7368092667,1253520303,3999941703,627826540,207047916,126077976,747301513,6052180330,2952539847,2675215674,4350005289,1882882626,3223771187,600692805,226008012,2840569557,898072224,4246969938,3538537944,1215034422,5075523756,5305334784,1821249088,1916068874,4148529282,1877771546,8647780176,579407877,670424955,2453341389,4547420504,1465071288,873807354,2408465316,1700994938,5677541883,6875064873,982327428,172405648,2744543912,3146801768,19746928,781159996,430177472,613124758,618064940,787977400,5630506236,2432109040,3939278890,2981298045,4386480865,6366254544,1619972082,1032854560,5990875136,7109842194,6956040600,1795853790,6381289376,3961232631,1743912126,1615135110,489899414,1105071230,3734560796,4681442403,562908402,2724433482,6770527767,265644214,5825066450,1844539515,220727245,3659428736,142231435,3288155324,1626325064,4718885423,2234851128,2307212128,2562589800,1002793012,860132655,474626696,318503076,7575870879,1474970046,7802090685,320858214,156253619,570693675,3357910136,1015028468,858692266,1359058075,476643282,2854904154,2028628924,1358940023,2824938972,3676019672,1821994876,1574993560,2817692784,865210170,4062544568,3696436675,1603827800,6326756451,5646256062,44487968,2256078685,2267162640,1048990070,3461479875,1014922555,708464610,2363503472,3347107528,4866076150,2262045756,2311612212,2640385659,3787838244,727092888,1018825488,737648505,4933690300,189304302,793516362,5554749616,1924569844,767663883,1872401448,4474210083,2593577067,3677332345,826462136,3459962443,3856913019,5261778360,6173687136,660246836,3957408396,6466423033,4800082410,2417743005,898644348,3500678132,5829739909,2337726657,2041368933,545185644,3695336855,742427836,7624984936,498259433,1044454124,1557491382,5185542966,758290221,8384248575,7993252272,605655374,2720997207,1355660306,3579726336,750273600,1070381072,3439305078,2091708732,1835395323,1049715812,232196309,1389764208,2968819293,3448200510,657794329,4271715186,1727568369,2735621050,586056592,4776957500,699355724,1004124808,5210904042,1619073021,229639460,4814590995,507167890,441209568,291125188,1375220448,1068665136,8281953963,3228316064,393847332,236984524,7891223328,943488768,4605726365,274752744,3987149464,2350106619,1911032022,2169073620,560407452,1233901126,1602086145,3718016160,270246848,805633867,1873621326,2347351692,3438315315,2482067840,283516575,3410240764,3982402347,1508951580,44194968,128648408,770506908,4625078136,5074500072,3745677318,5414420232,1863395016,6237564849,2429818194,1721020160,7907097762,1930978280,2824698105,1813122060,4202484275,5815942224,92602424,762234970,1750618365,6092018100,6261744272,712374904,2235834104,72220953,188175927,532758008,2699903916,4895918216,535362425,449890280,2031213392,1693597154,863376468,2411328476,2218710695,1043786784,2281244084,2530600344,2437544523,2904455880,2778748425,7945209560,3955049777,1512701058,717063118,2144584255,5263415896,3213529256,2764999689,1756119294,1354795006,1983916246,6274475280,2452471218,2132514636,3249495130,1584287372,5553495507,2639034796,3078817512,531694694,2489111226,4835432300,4173907470,6313447063,283404090,4907881520,3859595936,13107480,4412723530,2272234110,3152086728,472987864,4768543717,4120579920,3588113352,288472149,4080503050,3425720585,2908964142,3129376775,2719631789,4319497434,4204520584,93662691,228871433,4709689100,4119029665,3285727952,1662348108,4951415168,3028036120,93797228,1904811344,1805133744,6604292114,5826745794,2539074950,3505159035,785117324,1035176945,2390000816,368648538,979058100,7260181128,2181870387,1273113779,2115366636,8297313183,1008990010,2577498186,1749672776,1185451486,1475255593,536361744,2689651645,1794477950,1468452768,2767670895,866511916,4446996306,3973170528,1779868466,6152564344,2244256952,48006176,4717686985,3803280175,5238165996,1563960876,4748631608,2332251465,202528390,794530296,1866610582,3429289467,716098936,534592119,2654021778,2399513208,187641416,552676284,1755572875,1426810242,3151448272,7070653176,6205587816,1161917124,323125273,3077053896,1198536054,465158975,566094124,7158612,673708386,1020677916,505503846,924878316,2458281462,1563172216,3400365542,6008269581,7198216224,726184696,4972699221,1018928508,105338798,752119663,8405997147,745242036,7770789108,2714200704,3543311051,1513025290,99109865,2134926955,2013962274,1818343053,6632195696,3569738165,1316221192,794696588,804837771,2262568686,420744843,1014013092,3570171920,937041540,3692327625,4982210586,155139224,1616849560,3420394264,4348227115,4426325388,3669858745,3202327256,4569615222,1604473800,8847502452,2358783910,2289786912,1029820046,3521035336,4149072608,4504376200,7385085800,797176368,2428970408,6750236808,261482544,1880248036,353399810,4124849712,4077815976,4925883354,1021646616,2872655400,2514052869,856263940,6632361488,1952617148,344243017,463260192,4305206984,1293247240,671355160,519899100,2647247514,5380759916,5769273503,396974748,1940822838,1022988632,1156656054,325510975,3725193725,42310230,25224511,2043098096,2079817250,707374600,1755494448,609920899,4788595322,3285515637,3567388208,4771901582,982178649,3524936004,7689717144,809891292,2725047894,7625646180,3969000752,938901968,1472086962,359606294,350189991,4057887786,1669595326,1386501501,4260591006,8030541762,1038979314,548544522,3747612540,5299749105,4422460832,5815078134,3515348508,450015510,1958290046,364578852,2834356749,751061795,755166647,4319403954,158759895,3632521050,1043725020,7985133414,982161533,2377621540,763563887,1917603336,1770515520,494024645,419545271,1089193266,1827439936,3454101186,3203788600,1248117940,5345587251,1979023272,3362321319,2293326072,2684238956,154383708,4754579970,1213186552,2972113440,1166035218,1820807274,1705671800,2680701087,848578930,1173432380,3422817041,881276634,3824630394,5605069704,5644152870,409742254,681269062,515174933,91238458,60175444,3590076,6524359227,763514103,1717974088,317300377,163531773,218297090,2781480111,498097698,46556615,7335486450,4755772503,2294728323,240096069,908972331,252162760,2706600500,1228110920,4341199595,3192390404,706427199,92548888,741140145,305308123,7068616353,2610540336,4478083164,7297707933,6176094327,3378142530,843237124,289803219,2876818235,957501659,5168330867,542591338,3423847175,433019686,2834729718,870010079,2425608855,363248555,583140482,2745418920,1765619958,2999503254,3182589744,1383096756,13787352,3481591106,1929673140,3542454414,1923674781,257785168,1607040206,2147951670,6104449629,927777166,2699594478,1046717388,978920300,6359995854,2805353092,1639560486,170976472,195037440,1893201000,2944864644,7061266989,1905719360,370286068,619168068,1543058088,1336086700,7674979880,992851450,2723821590,446670312,422830336,952920297,2185051379,519030860,651885565,502375992,729507464,1087388015,4113691596,3251570550,4296650750,2401179835,1403898126,7407379752,3803818940,2102165034,1816185336,7764338070,796787552,7422239456,2850476706,828036578,4062359936,915282062,786546620,1096452264,1387463004,825858677,3869459622,1837859232,153584505,5608011732,29498443,806195593,1112013848,6666829701,506205801,1219225500,5334522300,836533775,1125891284,247925378,2002942354,769928438,489867794,1658990295,2247469239,2032834791,2025903642,1951178904,2069861792,5463786895,935322210,2357298252,1834518678,1866753396,3792641490,3353445000,716720986,3133455136,1021669572,381737822,5041195208,216569928,2500683975,2710966412,787983287,2095277916,582093404,6922274079,170518222,1830301324,8106232032,1122956433,3614664888,7222742824,1918397090,627992325,679361496,2412727800,1067407218,5025664662,4724077689,1520352264,536551670,1021270708,1995607502,500966325,488859528,3557454072,7118287272,925428970,612552675,8056804851,1685834343,2470114956,3976310272,339649970,552711650,2061316446,1281518498,1640249060,8868855492,151264112,964155936,4566447550,2211917481,1271420172,3824311614,5211706488,157167720,1876064197,6041148156,1308862854,181448619,5747906871,4994007696,4630933825,3212632280,531301665,3494531364,6843251124,697891056,5655348104,1870890704,5382098316,2846936673,59211486,4757814324,1100804202,3467770326,4561136270,5826703962,972913326,2629112815,3481635465,981689912,3087460,3533073320,2347672887,1165633644,2532682047,6827476810,3147985836,3501578740,1999028217,5381406472,6935515425,3813774444,3608390084,1605369808,2002835367,1110826374,3380836808,755240672,2260908702,3086134560,987962716,1220278284,5546343756,4462132308,4768157826,4501043142,2609014725,165202888,1923216118,3010688100,2279948850,4789657453,7143645699,1126353162,282494290,4470375200,927362516,633116638,1649172332,1561609842,313420254,1521145717,932767234,2614419792,3246229520,4677303106,880052711,2369484882,2887863208,6943575501,4279192878,6123106598,1586994924,6577493062,1537627128,1936610040,1415988032,1649984031,3994912143,528343230,1355612680,37978524,2750892396,7195321152,2502114606,1069202304,2860392752,402767444,7220282031,1714616905,1408405012,1562259075,1766944446,3524172930,1101805389,895013606,4168361071,39090536,1292306778,1115145367,5771993,1367682328,1524446344,128114235,933494682,1560434958,2275491615,974716632,5810329926,2518392558,256422817,5959076028,7499274800,4905509844,2778772620,1217673048,1059101568,1153789228,1253393870,884121631,1729307065,52008553,1244709812,776705890,565304467,1582192116,353196610,6609748941,6366063789,3168561144,4858964528,1573047119,7241933048,4805746655,3381185948,4915650426,944623224,3470010590,1920158672,486642155,3275444496,1918532740,2428063955,6918469103,1117437096,1330683074,1646399554,2675718282,2623853184,2181830802,5289271020,6405202363,2673225657,2639271240,8795094606,3395883638,458304931,4333505701,5040699304,750962080,4263152355,4837855206,2888155235,1082777084,996555035,5911660950,3569488752,3831462375,1975138186,4557596645,3450573400,4933742319,296726980,293207584,4779815130,4524744250,1580850708,3840713760,3596473146,1375587440,1131654382,1171672190,582141789,6535769504,583220,2644520065,3138275280,738170953,911101520,6795221841,1083538008,2853887511,5569813432,6511711626,4525744212,2550969852,1168542594,1948967379,902397186,6573477232,1854504190,1345539285,202003074,2141581758,4315527750,393541014,2390637162,6115396840,3840671810,5019670584,12129642,951921988,5709629664,2137268055,807991420,2132591694,6467935932,1471582275,235792038,5077414224,2445252560,6038612172,757970633,196849086,1189494664,961575156,4513596966,4364406858,864511965,208419104,8260995609,1150201320,329299851,162616150,1339366544,2530567086,4638320500,868814925,3451482615,1638329547,1873371408,7416662912,152495772,7207191208,831078600,8921409912,5105096994,490484102,2676100560,3419367016,107806451,276933332,864300234,2314989278,101957218,2481303396,228363485,1754246094,56199947,4667131785,3686016768,1928685879,1779023847,1672046988,7846565463,3152541300,5874559019,619997406,3993099624,536935357,2003106312,2798286264,616128434,27556320,162504376,3794921545,227419212,2247037232,3761976055,2889934872,3234464874,4358223474,2641171530,5062782645,590112810,1895541033,680565740,1183519104,774719376,5157659277,1073038600,1249135818,6535487592,1885905385,5976688232,1838167448,4071536754,2887998525,1996194926,4730572710,1202357136,1163835720,966443940,2649518152,2198372170,5527572936,2856022491,642500208,96715104,1012447548,4636546600,1655803839,875802330,5710376496,4629411432,2546167350,3072996165,2034188280,11141978,829442995,836648580,1134221328,1613232326,3246099724,4339803426,5186424145,4237362558,1669811592,1615507950,1454925018,2163149706,894214164,697203099,984217930,5227464735,1954782189,655800521,898634260,1351394382,479219986,2045717565,3547735723,2115973296,2989994530,1380339762,2905508856,1768518324,1362895299,1110593044,5565956336,984603000,5574874617,1655012584,912952801,56876585,4035445152,361605632,4323038625,394665080,928878990,139103721,983438018,5892401024,3189185304,3663631155,134449956,2314259450,5837504052,532715650,4014883836,541978634,1024895376,4357151058,606651603,4219596230,919725320,718117625,833664872,135250885,613238310,2717241387,6831974556,2952223470,5904208443,3700564970,4647676680,426405968,1425052218,6399398173,401329830,2410807280,45723100,3809754464,2965256552,8585850366,294782464,2888875392,3766436425,720176280,5993191230,1682892804,1698713345,4072357836,2822082174,5645704176,2304739488,1864339236,1330061349,2694210318,1615394110,706669315,3943266882,1392745280,3108417865,615358644,152650805,230863392,2765998128,4994081416,3129791545,1704243185,357257016,5624247587,98372843,633031707,4843595592,4472932824,670947575,1811020908,4770977274,696053192,170064459,239066992,4221424272,1238133876,3069087384,6334590101,597607566,3399735832,2952542952,812810542,2458688457,2056436320,6442819146,859095629,4227488566,1467970720,5330844198,2709126880,1692200700,2295645200,2865535412,626973000,4091703780,630678735,6679602776,3298755804,5165310960,3904618872,1423252146,569103452,1346320560,8103453930,1074063508,327339036,5778043376,901058100,878000571,5841603894,1652666067,2591902912,694733322,473632713,2435493702,554400195,1820969772,4364002762,3752472409,101347650,740331005,3532312028,457426680,8660842416,2312503065,3996246294,4193770931,5795308351,616865382,3134470808,1589155022,5410831136,7015740228,6578569088,4276692910,3536431792,3761682330,699474218,2297547216,174513936,1415941512,1343240558,5028267685,2131907770,1462119302,1003212,5000823800,3348920526,4829380275,320996808,3376186471,274160063,3648171015,4842677448,4030703505,7453797129,1919781430,6386637726,2101595736,741979310,1198297340,1985001790,4392706066,2019334268,858022704,3937341195,836738705,2837021628,3707553112,2870620848,720601368,4881015360,2120090616,1856504406,4515171700,308318606,678331829,202519641,4967049060,636622581,3224882270,185125446,2822821496,999938664,2896557384,6798791552,3279010833,218579373,828958566,3337865238,3235952165,2962696744,1852438170,461612622,69459498,2660438890,1976006928,4157440650,3631077430,3326147552,4927805672,2242580550,2055735256,389779569,645473294,225580954,475016768,238784960,1170037698,4695949332,5650287732,4572217212,4058428895,631360360,7455029508,211467263,837972618,643590186,2866749890,411969580,1860945384,728734482,172675463,4123958589,2491262060,1585308205,1494000158,2611707129,977354266,1015999812,185051817,1207906742,8620264134,3676970838,3373451750,2722369765,534852948,1197853408,4500749664,2648770533,6438201984,3789723088,3060497645,351419750,2521528722,2948580124,2151419829,2118540616,1002237515,202632123,289066859,2159238402,2354324116,1821801752,2126241624,3955024736,3054200208,904479584,4481993240,460383175,5259031812,3021340728,457044477,1356179092,957144564,2344891206,3184886392,4411092910,765680256,3508012280,33137306,1374174352,861256391,1139695260,948538280,1345131568,4023955,715430436,1529506668,1363573080,433634416,172697410,4853145968,583677972,188604990,5190633279,2509619232,60977036,960357214,7445641239,438236725,2209136800,2570046612,3237250660,2599353124,5578887083,255772050,476495685,4290353515,2227205696,1229733072,970665528,2728214867,7566189426,1708915642,1343706776,4866602468,6977450725,1075827800,4154587256,1637584488,360414128,2760362092,1861096824,409896548,407534454,5386800108,7723427600,783828788,770007495,1435987710,3506729,439016613,1746981936,1304688152,2546435724,636305901,7978015328,1572820119,5926712456,1206785916,3334055316,4301442830,1194991698,2117340192,5237867820,3633818480,461182128,5367560488,3809136195,2665759756,1836438114,918329880,1473399044,912292668,737896404,123083587,960434744,3379776248,220537278,3876894520,667326191,2619375990,470641515,6936022555,693739048,4794169575,1666826734,6314138775,572300208,818923888,3576646855,504204456,1313269496,6703256856,1624898910,2926547385,308012852,245758070,2790005271,1539205740,1189841612,347053077,712439409,802914477,689317746,400366993,2602251708,2486201910,3539767635,1908572568,5336703568,1049870634,6259123056,360412263,2843565006,709460242,3910957470,112165230,1004858607,3520838,5148300256,1434828732,2058749688,5617077928,3718820106,4205663000,1582594894,3171125490,3343835628,1874989556,5980248358,1668158328,2138424735,1873925982,2997747522,889693173,6357962268,1306238064,1733934700,10226025,3107117153,245294806,951179272,666030525,6779502976,160084410,7235265015,2647388577,5263204940,381639069,41694169,85690512,997399565,907144305,38438945,4880593836,3003633520,795705512,3760443744,3697512436,234227022,712833984,2731637556,2973601812,889955334,1691228273,638153048,146671634,4930801935,451825096,7444788624,2523476925,2045747168,605542725,33139920,387218472,3856739010,4739443780,4264348248,5225287671,66094726,1372845467,4953512245,2264519095,2039004270,1069452018,132944960,1995185652,594120114,1873406059,5166677580,1545082066,1922406940,429207160,2258067,6947759777,336160505,729437047,4344095656,1995827246,5873073036,3019491013,20778577,64313103,1432032804,4256646160,3347914787,2048471382,1490415710,455924925,1319685120,857057415,2339743875,2170731978,3050985136,4363908192,154916734,2161523004,1693268456,5268312066,2439690360,5551366968,4653749051,2916580216,2342620269,307297914,7890781664,1195487608,1550356872,22605012,1549006350,3314501400,1582317264,861582192,8365863672,938454780,2036272700,7171447617,3927278364,1299841792,4812963618,764543488,605141766,2785781530,160700762,4840194175,1378264014,4305326116,5563832768,8569999566,324473650,92289064,288189944,608578428,635495484,2455738026,3788820721,500367268,2276896030,1283785238,2011998417,3099061112,486965250,4414675680,1638129788,3454603408,1940215773,6402049317,5884279872,6557568577,3666958568,2982190530,3051894627,2224812768,1395727996,3981704880,711125211,3362841972,3485320600,1085134020,251585158,1112603898,1466134056,3339121416,295666908,1535326530,1297173846,714730388,6618578162,2645035820,427655144,2098904556,4373017992,579450701,666182576,491180456,1797919025,1340359965,3640226079,1518880510,873108744,4628959352,783819308,3217268795,7566864256,4568495659,4443792295,6767236546,6546616024,5188991759,2734730133,3559990833,6075379786,1602119000,7981550152,1558116171,490893911,3852690776,3080290490,5468242704,1383169224,3938672235,4842597970,548973284,1381703637,472266471,1861629160,1037995962,2386714356,950710304,278826452,251165784,3058169706,857015784,121739224,2447493655,3886598732,5369650566,2156756637,410752878,1655032568,2986472745,2762036148,1994222241,1713432591,2753614416,173920254,591493894,440157550,1281108580,6520470390,39584730,2546688904,3191661445,6173999192,6394172616,2719114560,872539470,6348881880,157582405,655815076,270291344,3164602980,2321562741,2427086552,2379753536,984179812,1996474821,823798005,2986788744,3122036559,48750591,1695761541,2486003075,6086143476,3330143117,1029675132,4334967,1657093248,2195665662,258822070,1801154176,758064999,445452582,234710113,3696299820,749490812,2942992750,913029847,1751865562,2930463369,1731561728,553208592,5441347158,3249601404,3673245184,578669180,3313696520,1031710720,1141040732,396780486,1702334264,1550387684,1321237062,3902746080,4594490046,632652230,385973637,1893217216,868164283,2952339328,1976534442,4992068382,2217758053,21653130,2541822656,3851438717,5787300612,8412123348,1311909168,216629984,336723684,4299681745,1728366152,2895167538,147896280,499001204,457919648,2976064551,2261327592,425392270,6199311825,3260330559,5712905429,247154660,4649589714,3115457109,6878101482,2208684170,765512152,1272610440,3420442290,3465735045,2878878678,1084015490,357581900,824998714,309549060,3160533789,4509222882,3055601928,447270591,2567534718,2095276563,4381421862,919897837,4018305265,640008683,620139222,646822273,2617434936,3632554232,970603992,1456699335,3531499986,552813437,2574764904,422271501,2399121893,2891288721,2536814124,2907735912,20490930,3535203150,306798285,2195168976,757866552,3285455028,639082184,2011492110,345855405,3656782476,1419851032,29182685,6721355732,1905329763,2104698250,3061736504,3549730396,1786256472,74522826,5790215690,1373475652,3910849590,739455545,1978867881,165662878,956502371,2151763748,2158892991,2919786069,2212981224,157445467,1119535344,212311190,1244334612,3126243310,5953865946,4541296135,565795791,7642873485,4270682780,641001858,25852741,8851875237,1403392888,2120686848,1703859724,311263505,1760435384,1887126072,5695269201,816520644,4958639142,4493231244,1517788002,1042556880,3560003296,3693707288,1436319608,2798569842,1155725157,4808117296,427936261,2292214452,2592693660,3772904356,737397761,2189684744,2675888936,73818507,654010736,596958496,1685158602,3826888024,863593470,1451431858,3245184204,7039525744,1447335460,4719640998,196383598,2544180816,840587284,2221467808,276087568,1758556792,4350384522,346257563,1290403272,1137702400,4366299030,4764016314,4734585252,6431686394,467673970,1429355645,592782664,3604889912,2693136267,1814475124,2779477356,962506057,3005968914,2961886088,1441394880,7052020104,625407819,156092704,6340531904,2440095804,2269159344,1656394164,4753452277,2501667064,1444596944,989217593,5337929880,1122770214,3216357375,152843416,1330130862,3745549784,5826476432,275963895,3818818782,1582644376,3266821008,2381467134,1150645176,8116173801,2428999296,1497424120,3616731937,7983012438,369935680,324103728,62819444,5888515200,745770602,4852337103,7540478632,1247271156,2093625828,3780681240,498823426,122847546,3288466240,3268095066,886530016,3808802116,2241751194,1857375580,795890210,4431421290,6617005542,482396294,1399548175,1500967480,3663933848,962050902,3546361816,1674303722,3092494668,3637772056,812888539,1887322232,1566111624,5013340254,821034036,3999267760,2480187712,1027934640,798621936,1540767516,1622474345,599777332,4430109747,855003144,1508541440,6737237122,677096001,2641918008,944776980,583515870,7829408826,845907037,2749969929,2565764805,4514784648,3550362344,8489220444,1274917819,278414982,2401150194,98346529,1477741620,4282928730,4679353782,1287922226,1002269016,1172243316,5565710440,2551658940,2553722400,1089657430,466586898,781262270,3082840,524478016,809396138,1329641304,423363224,2813448168,4236617835,1953170204,891527707,2522953500,1419024452,2604056625,5402449752,3876139016,59545184,596786888,3833003925,1021998896,674847084,4479357687,1011477486,634052706,5650034430,496291412,430116584,1904142980,563539160,6463792648,921698520,4220554240,1093501852,884013616,7454820411,4727349618,1716965088,4819386834,2653218442,5849603676,20205575,336612710,3298291484,1292113368,361886596,2237144455,1143055212,1087573800,3633273472,930753810,844467170,5963425614,596926764,4401692544,867483072,1120523556,571323739,4856324326,7814650077,2594716175,863848488,810408238,2597646935,339890348,1163247348,3729425668,78106007,596665116,2346050995,565017448,4216462648,418526325,1129066925,3106455480,2414138708,1900646400,337659513,902967801,3300980608,1574443026,338238896,2466135090,3366149736,387236925,1736981055,3239773896,1121172424,4080945375,2260087488,1885703998,3532896504,1041283104,945483600,63845676,685954817,620448464,847214964,6063773520,668481331,6498365853,2454634903,768838314,1084140666,5504585463,1198039550,1210793624,2195846901,484265247,2010299660,1277879896,5805100338,4476893995,2156217078,1813630512,6881174566,964666492,1509109512,1294660510,1710215296,641170034,5631578478,2226682173,6395869172,261252000,4334502864,1230945111,3323473205,692061452,1492582420,2125358344,5271344568,4347515268,3475035716,6540364670,7287862632,7276149136,162767952,1080365540,107182979,4584644172,4903682470,1616890650,5640076862,850749090,3754391720,3528463464,2141580320,55728434,480212300,570189110,3131712305,251682570,563918791,1309230990,2671882809,5485572211,1868797316,5201909613,613429134,3042296772,2045200400,4478920332,1542291358,3425072610,4452154435,3858871191,120298873,960131079,222968,224248134,101514015,3663681330,6928767979,3147693420,2045786432,958003918,5816418510,1394091594,690037045,7937151237,848679844,607881674,703936828,5982685625,1872640785,1025969532,763603816,323863389,1554630730,1294598334,3757802648,559426316,2343024180,5572884330,67130898,5620345494,92656297,484068566,3179279524,4971458382,5717121284,653371056,8783642124,1657498388,5026527693,5823229419,38768542,4141799088,696990119,5912113680,4390326130,6035897128,1570369574,2094045455,2926301652,2000495392,904192040,4154687360,814768564,2705401888,551115515,71021360,2036520616,1070615460,2378657982,98643246,4750101069,255064232,1816762512,2615257996,3042675693,11021070,293713875,789130206,2503964050,3463744625,481984880,3627597876,6255454761,144711961,4856821248,3895468084,556132576,3769442336,1297002834,1676651650,3510745740,869237049,4356301112,1367615025,60974627,585250660,771947720,5654778072,3534601632,2957986167,61915110,2646009228,1316333751,792583797,3236993264,2771262240,6045184383,2649079596,138616124,101439511,7430822944,668712969,765410721,2753369205,6714599808,938876590,1489863424,7175716947,6005977528,7453571715,456746503,1139474755,4439612130,2264411384,2069134330,879059660,2946834576,142672380,858963136,1152132424,1898588000,1807456652,6155475616,498829456,4222873704,3867898495,2558451522,8845232769,698576808,1088511328,5605222077,994400677,971261392,3173794813,4419790362,1836088536,5770519825,5636727366,2828243864,6703119792,6824330199,4782769010,1291728724,1857636888,2544525894,3699654084,8519339601,2934565385,2017428174,1320117432,2963875652,4946874338,1618781850,689059672,1946547642,6294904008,101834226,2137439420,2217925805,286956435,2923451464,76270468,975986172,695409488,984166926,522145048,1050272955,496065775,634928204,1825966380,5729967698,3815852436,1378171377,328810434,13574505,2239281344,385180902,2569638858,2879490995,124914240,659521520,288694570,1091986555,521977365,2231415144,467088177,8428799079,2423536094,2425704384,1318324518,997255661,1824199140,1355331228,5848457301,754421566,4102072904,6071627667,2034634770,3701176641,4552294248,440373819,1754685021,1419991298,228990934,5965941672,3783761252,1507105938,305561421,5877227432,115912972,956759,3741689748,1442905230,648205435,298641152,1208586930,1050074640,1183012150,4436980736,2259336015,5368431276,7440094692,2385785604,332325156,3512481385,2893068005,3466297899,708545680,2143765540,4508325250,8224249473,3994902422,786395794,3861169950,2848104240,1728114918,2415331710,1241438268,86740722,839106338,870779056,4591225875,985708340,827196612,947691424,115173286,1394006424,374334112,1165480140,2880032099,963312795,2050191192,50511600,7663391456,405333679,2336628420,7238206971,986930458,106682274,2101413969,2061507679,1967801114,6200770786,7246845952,2843739444,5641103640,865078344,1028349630,990121727,1800855150,5863387656,690628548,4488403140,664189943,2282109192,1679547258,871075844,808178168,1153074144,7863326368,556400760,1528541649,3360650650,66092196,2912084274,4183261568,677900500,973678964,1137633357,2645715588,702096273,7725611560,1087447110,114901212,501844926,1576696408,3340840176,6180027416,488407800,4026762064,538309208,7888568805,314695760,278179345,237521625,1869614201,93011792,3322090280,944057095,962645248,2164769352,468341460,1757944335,2930724072,6161853110,1815935284,33138327,4017956400,366757485,1256482608,842197003,4444992692,799556415,1446306632,961263620,2507203584,8128951236,859370136,1897661460,586083956,6689336625,406662208,1813257800,4308448476,1710851850,726983127,4582980920,319775424,2280327580,5805913358,127935838,459589723,41636364,1480811553,52574263,1801465880,878159840,1132117445,7380334620,1994409530,6012799872,2011246890,4292359767,6472925249,105507437,2303108634,1657288016,6606114984,860288060,616759997,435230628,5287136247,911199726,892704304,2959650276,1207327152,3487091503,372472995,213502458,1743221730,8617379211,5789399844,4654665170,2321814180,1549155344,3942843316,4120157865,1559875886,496271536,3876672385,2310146260,6305003117,3938284651,449194614,7590005064,1601427914,381390216,2377028552,3944757411,4863547512,5861619582,460015393,1258555745,725197133,2062839116,884810745,2415502616,578362300,6351422875,1782906552,1278523682,608021214,3223411585,292400156,6973815609,2891602616,2008074282,722183940,997086284,263642760,1429541096,118161656,1707331088,2734660848,2172660710,4032353970,1734379984,2845200216,5392531644,6715422963,7923343473,3108191112,4806547872,716543408,5326414037,2554465980,1596120609,889597270,2855133449,553680423,3992889128,8094530574,383042457,66227828,1049098932,3208912005,1401859960,4854978640,4023279575,6092566614,1610778624,1002050425,370094814,262051120,5657559252,1607801280,1289557500,3867719960,2368590808,3848675719,1499835894,2655399570,6503257760,110726204,3586858976,1124292078,2217357856,1963294766,40803024,4013751686,6240574449,1418544351,650597450,5244791368,2035081596,626103358,465571606,2796454344,6244615251,1041732298,81130784,339123918,356491369,1808737646,882254456,466253603,8383749138,685105858,8378742411,1081904826,454371450,1714339824,1561015116,2995960455,4173004145,1892824644,7901690456,6710471181,1672726140,474492463,49445315,3471340620,3351717744,4585764755,5980440448,1408664000,1121439510,1884719858,3934759925,6790280056,200945234,184080195,2020300290,3842109356,6037403094,3219394230,2279864744,6744840823,538731186,986245412,3071099980,6082451576,923415006,823085892,1676430621,1590918000,818255577,3559261055,3729434787,1832664592,2684530926,8099930178,1797388396,2250746920,940603212,1073219330,220293664,684441023,328247509,273788732,719794396,373244078,695727832,869733426,2938120695,4324347270,6291164621,1310624468,1725691314,1511793890,267815834,293041109,3281160386,2688941451,853951094,2685910024,6879269556,2875785714,719472575,3151526380,947703025,888893299,1343741464,5662246471,830421831,1608537441,487012379,2987674785,4961268011,538734014,1783488812,1693764970,424976568,1014415104,737731224,1464158478,4128132775,5626390038,353572852,397969712,2022092358,1905342238,4136141716,8623083618,2487205635,2325616047,671158149,888187810,418235836,764644527,788719372,2556346788,1067515728,2787664416,204117734,1618227506,3590439412,1828614610,4516109904,4381268106,3414203184,2601489402,3842764710,358665135,994402815,3039124632,1404720960,401151350,5290200432,6112212345,114390360,6553102912,905495826,972294672,1045096444,4966526411,695287762,2533888026,6482296471,951328301,6527730258,468662168,1607988328,2867548938,2988038265,946809053,9688551,775901000,1461956965,1414754124,3934612976,3049626306,4792486272,4747659455,3794244312,3443189226,4452020110,810728120,3560786848,1143542080,1593344830,561022784,3812404545,460504386,2125059138,153102698,1259866097,3920926860,4348991394,4474955247,32859530,3326321178,4134345183,3077956206,6883060464,2262781782,7969419144,4500365676,734208282,6559076349,1969121497,1242437384,1460408106,662686147,617567766,637554348,5822088588,351655479,5879627886,6584679864,6209201856,1517924494,529193384,360542925,6471216017,1039156584,2181067776,2977051482,83004750,1862640852,1815527598,7040190584,2540440146,3953822994,1669773726,925187779,861470396,2577173410,5676189993,2202379272,6270408856,7316898048,1993425114,790228878,1273746382,320938716,3265708008,8177471289,806885750,36380100,2125387256,2001750772,7728030328,598260928,1188862878,1305467703,2039243916,3234844105,135008004,777751535,5676447438,670827634,5999358528,3532181195,3890214095,3973630595,6241346083,5975021759,6806882866,4553574505,806215611,185896964,1217906140,2853008624,1506360345,329151733,2796542082,3727744056,1759376865,1877902520,2337670512,469967434,915550077,2042515248,1632844124,733478300,5607831954,3143718252,1072483480,2867686108,5210446885,7609527592,2528044510,1796777738,1899436923,2856788286,3844849824,1111699032,1622566608,4906637498,1633730398,1153921050,2905495494,4259556176,1216968600,5928357855,1956658200,2331513175,2772038160,2962410324,3041868590,800274712,359224272,992832472,511830849,632010478,2259263853,2933598315,184186036,1563840039,5294492168,1647569904,722350812,1969710552,643963730,4294406965,7910713608,856622025,3506803314,3372519600,1086358266,1662944226,5588307634,1510468344,5323331850,4969143873,4660958045,1011876052,3603561800,697120164,2978515905,7546762640,550029044,3463387584,5583609128,1030010298,146530764,323656476,4116255804,2892225003,282134232,643534225,97648626,4844091900,3586615432,363683240,1703411121,3684384588,3463041468,791594675,6918220760,3769781832,1234741036,2050718292,4431435570,2257930035,2791702790,2488578579,1314019345,2806336830,304126363,93766748,1561628230,1951606692,2005067200,2227890276,7582323384,2474812672,1699602160,650147550,6311470527,802914360,3345070910,897733605,1177713222,6483185198,2708589627,556400076,1723232528,577708132,1197479446,1409429196,755590366,401199582,6696075906,600100840,659939948,49335138,2598112425,5235172632,3807677968,6980678046,124412100,4093057440,372046966,4025244936,277556292,3090035095,813154820,344069076,855396617,1076733264,1625181335,3949718332,818391465,6965256978,4217072931,1203010842,5846138901,4214640227,3321378641,5698020069,4814459885,3015229464,2891386359,1684476900,7085942208,1940080398,1699120107,703026803,2128256832,622468779,4026085623,7465747680,292005480,7904240696,456186006,7405316649,831929340,2567565888,1521516201,222110190,7959784086,155772080,4865845445,3967049232,2951701375,3305150365,4883634028,2641430285,7928613684,6386172023,3905226888,4147904856,4940367102,3979010870,2526408648,1305238224,207054267,55079213,3607429728,1700335940,7760352699,3705326442,955472688,2231386563,1581982360,778955044,3466974690,2254440003,6576380727,3120911120,1702485006,385655691,1030226336,1231399038,603938451,3689061124,4156016787,4059268976,338095489,3822390280,330602141,2712638268,689753132,853793318,119820584,4341038610,361169184,3918237732,439347258,1705095304,3143109600,1860162199,298256314,1779162464,2147220010,1335131672,119670564,155087733,7755406736,758086274,203679506,647278065,2700079824,1877142022,1152715478,1175879466,4013723574,3404959136,883447224,263849812,6517346408,615351786,2999837922,186334685,1858140087,2584203747,3618512325,872770605,402886078,866626904,123681224,1868413330,1082882855,1480733130,1904605590,3764346830,4147381085,2603310927,2311735132,2061453990,4762198674,3799074240,610127947,4651689410,3704501738,3345952890,1892138798,1281143974,3833187835,345397323,988831848,1572397266,1049986680,1916482105,2335382532,872582247,956965285,7966251468,491441241,606736925,4039680939,4751325050,2544564358,864107767,1820727387,2725813008,564622680,5424043884,1368377415,5399497016,4225683476,1095151065,7410155464,866401578,91988443,6571686933,197681124,536880745,232478565,4578578788,516686433,59041504,4507050627,3454234567,1578340554,1526428706,2501125328,295056994,3484069575,4024213060,5212561848,146704926,4682130312,4041742160,5162178558,5646414123,3595491045,2505982050,872200910,8721918486,1979040636,4696338213,924314870,30418392,667950549,1791742932,4291210755,1024186104,284137875,5428772352,3298143028,5327565096,433335201,35879465,60867459,1996306191,5756531424,826970564,5383767576,1277795346,1562743428,591200216,6951963235,2541775149,3608915500,3365110250,952894884,3103869824,567909852,807478776,120394417,1789893450,838120264,1999726816,3006253341,2122232640,2448922959,1824252654,308890008,644504198,3178851112,1941830520,599992379,2306781910,2852245458,3859414152,397048210,1462386456,1910794821,1862055042,5183203424,7289675704,905687822,7833339352,3134164910,379102372,3093321764,2276375229,3000564432,3860067806,895301265,5600001792,237103244,1925179105,5387518860,215073040,716539843,653098169,4181452456,5213492766,888883422,799765932,3774265236,1098601254,473247840,2443058820,2325088485,179889225,5388219992,1156783653,1055629504,1645599734,289301157,684143474,1634213192,5090725374,3397830285,3413705256,882899256,2352397782,3856824624,1795167084,4175923240,6526707824,1321816208,9053048,419523112,1999925052,2150682396,514082968,2082045690,1645598376,7728103240,1301575244,363394503,1575641164,2019139530,453994209,4458740815,2986776345,26648260,914624685,443862720,1403793280,41241815,167996202,5100413616,267768144,1487208090,1543513555,834446506,2437274350,3981108276,1312180150,2204753832,1484983746,5948784630,3046100180,2113764474,900100496,2351547768,58542696,6003392899,895211086,2180802870,5528285938,3532702014,4305908904,2996062296,784150115,1951318198,385065320,256430545,430317900,3985881886,646174945,2399655423,3804758888,46552858,7500151536,991909932,1900504156,552769144,59288053,3061418788,2741172810,4030951535,1886910856,708326556,1479648741,862571388,5365685838,2463602498,3213101624,2432546120,775207902,3216383289,4875144534,5908945599,397191672,7412331447,2515262888,1081505212,1634744574,704774632,1242997077,2640813908,2200241991,1980415566,1421228964,1859856758,1622960090,1748285514,522570356,2324234360,1547971851,491717502,2541494079,6580306944,3870650016,2946409830,8696326,1435207590,4746018070,2281675440,929740620,2025446658,3487375085,5699118714,1616914071,3683437455,6611515337,4228572565,120432804,502672531,558447337,2768137032,463397752,881952468,5549075574,6940005976,211962339,3664995220,7965724185,3463975088,5439478608,981239900,1947199044,3620820770,1836381336,1398791022,377267764,7589893008,2809607736,506411916,1691322561,1367686456,857916912,694813920,3960375328,3568451369,4129637735,150038668,298790632,2489427768,6678261450,2138100978,616204463,702699104,458431898,782336230,45929553,2906562421,1242748810,4925117274,1594572840,5640495336,4049837835,1450559262,866047408,1338539619,5129843397,4991906015,4762471500,1084127118,399079294,1624510148,3790507344,603411682,285064150,2942394138,919374162,1801507519,535789856,4182295368,1789348940,1991960262,401858870,2213153235,892020242,58466288,4992685390,94764432,3405622005,908748563,940165963,238860272,2017300276,4947288941,384180010,7309961937,1138991210,3913087595,977871223,536811704,586856891,2166863955,5831967456,3697011964,4902721884,723722136,1298691882,1850645382,850405944,2128045600,7102825320,1088482280,951912254,1704019952,2054057160,1762770912,2205747321,488133360,3864347838,4991156830,1174168074,3106074100,3372039152,1557829040,4730769852,927477951,3731973228,297606878,2940874614,1091275760,1054217280,484357128,3071761259,1107906592,2796140608,249231626,2889073528,3529228904,1612341618,3709951469,408888676,5809620,1569279230,4969784036,3998812185,3052806745,29511243,4785507963,603496197,4032591900,7967423925,5865790098,3885664896,3681144054,1245108698,3238808768,18743254,2798196828,3816616928,3577242720,7240356912,5857075959,6310473224,2865885965,3102472765,5969421640,6552800191,151506727,4185167810,227310610,3285574254,184612225,1027348767,8253526842,7764943671,3518909464,182252680,5698442358,575334740,471945843,378063860,2604762664,3821560866,601181388,619930595,2234683149,6739016272,2718130629,751592628,3767831328,3203120016,920630115,1634125200,1459973970,4582510872,2129044312,6822310554,3731791428,4538343630,5442053078,698930496,4239467665,919288249,718628886,150514940,1169857185,4006109840,700563348,2404376772,4454210864,828208245,5313939575,344543904,7773202107,6573168928,4889332670,395471492,5059749852,423357872,2283249935,1295210703,946822623,574101462,2972660220,4015214553,3367115416,285176888,621222724,2075911080,216157506,2280813306,3996848814,2972469537,7872820088,1983084114,2460619206,7301995368,988296893,2047916276,825621611,5218374504,101572013,1797234543,992047511,2781189288,3162755165,2577146439,1315332104,1983918796,2587934672,5485306452,3918223398,621941015,138640632,4367686707,2385851496,3079075636,119364423,7908675273,3995426372,5873757867,285879240,4960914426,4046660418,4925168836,3373213680,1699318864,1835634072,1071533526,150456035,2756424335,3159860968,983411757,327568508,3285428797,1239100112,993115461,5801211486,954528098,3474997547,4636727088,2701108881,1514144446,566969130,4451883966,8549489799,1141628280,2340046254,8789209488,2176669976,129572379,7330041552,3444393573,1344348089,799921771,2790270126,1347670104,109948188,7717215528,1540415176,1514749172,3377644928,249160210,7416251496,831560136,1591403260,2708922160,4483360060,1030131048,1342016418,2410557255,2555669165,7216762806,2191822929,80818180,2531105584,591230820,166623864,1605139194,1956423192,4009567120,315751420,556025500,1511608095,1601134972,1271357020,1958467944,437198756,2987765958,1014946200,2038540405,907044978,5571008568,1184982596,6694201234,1859381632,1602254319,2419053608,316955481,1918250619,4672678624,1824928065,306819923,2034248100,1381282872,1816830224,669998598,1022832688,5244670888,408618713,1828790106,269701193,1262584580,4118247895,4964915977,1914723955,1409790116,4158776097,5894357735,4521211020,334751988,4581965620,2582247825,6595141528,411898145,650571497,1462644762,1557428880,953246694,1112445076,4876151955,614645548,702478156,4010208620,271726996,4215991008,3988433990,3780541320,6545412216,203670804,6008393385,1655211990,743632998,2968542102,992098110,4341818820,921305789,159509154,762872226,1978748752,4625593614,4378772250,4457583504,319997062,915984510,3040624230,5698922537,4156430405,1874362527,731985918,201274852,6633210256,536312864,2372620938,3246002165,2942294688,5668075032,126601884,5390080568,1569211328,1574748072,134563127,833321960,625009482,5945383866,2953951872,2464566324,1659385764,712605480,5936123418,1899820224,2109640350,155042254,2022859770,302813264,1899740508,2589058860,2557087218,7959063987,6640110043,1696598170,1864413216,3402340435,2470932485,3876218059,2391006198,273453915,7167300456,757745550,5988564324,1942195928,8576327322,596377016,4293887521,378172404,3185198163,6978698244,20669223,1752556354,218010702,621118,4382664975,4867044035,4944230750,3174919900,767421946,5930168040,1382845806,4982689628,712354314,117885270,2018913846,2294953494,848079905,2988472664,323824641,3756224829,616365059,2652907536,2855163720,817508725,1247814766,7415085936,3363979388,628072650,4537588272,6414793920,2623226022,172608243,2183051549,1761225512,4436900984,6594913616,2571978485,4297735694,3865975569,5372159534,258543180,5826400832,1302375414,5393643291,785013345,886514485,1605165171,6083771960,3954547720,4541530944,3439878945,95175948,7157460771,2605589696,5560622760,155742276,3064426245,1609881329,1351601328,3952569780,3587410038,4442349159,2581987050,1391360850,2194855025,1161713268,570610895,176703100,136381840,965889735,1334006520,1669676035,448924687,886268072,569658983,5273461137,246365904,76040864,5875300332,3103873602,6519781224,627365624,624110950,837848807,2752031464,4379346815,2688189276,4586488730,3646296084,332529741,979812560,958453592,6533834104,1906789392,746832400,4477661202,854188861,30571485,2677617666,234480946,659091260,4986902718,58783884,2063347524,3518943620,40480006,648378810,240600232,6997165104,2240327367,932159151,3806539626,279770418,1685389072,527868900,1027937750,975363439,1960263462,3867587676,3427656184,2410346778,229307008,3188372446,2825899668,458735542,186510069,4896892992,1578523614,2063999142,3314558928,3393531672,591743466,2459359892,3325138248,925405980,1082724480,2353390827,2584030620,1816502360,85595018,5395130634,3834828528,3493253015,488113756,8179814214,956884556,4331643355,1257628696,904227408,2369226840,3516058888,678322275,1733201351,5740675552,714662870,5213786910,3812308784,1774010528,3125722220,3989184619,373608975,139491117,6650469486,1679212467,3901362395,7298408088,4198995606,1392567036,504745234,2371820808,479404817,3443743478,3794129772,4464261592,703733312,1377094449,5090968596,4147194040,2371922456,1210381160,4030808670,8843112954,1321412016,633492470,241493490,3657258822,5914672672,438692925,2969266683,6662057143,265571046,273475036,78913462,335935756,1199897520,2110000401,410870500,1549664796,740661827,930673740,1208681860,2577088452,778858337,3399421725,7447227536,1395510876,4081971320,2656242005,8084631042,2906604522,1424531070,2269369410,6711465474,1272916456,1222651166,897267498,7619239312,1389391002,5208848220,1944082140,158920472,195539651,998015340,227345146,3364402248,74902821,2839613796,7220288862,671590088,4393233264,1416875831,3020295184,1933528784,1504352872,1038884982,239543209,5335013010,2335967592,3808316948,1649629590,2003181486,1908323622,833531874,960919640,1057458219,5339665380,4168908870,293351436,142913140,212003592,2311279128,1891631584,4448879244,158968714,21102186,1965015744,4963039479,8618020632,376891806,4318839780,2750807730,1139264652,1713170772,1166793663,4885582941,2210125272,122527248,1312379472,7290076936,683766267,101050209,3331261290,2084348315,392413148,7352131212,382206456,582195530,687465728,4761887808,6071432703,4847423676,5012473266,6054203403,1210075656,1814402696,2711952639,5327752648,5191400406,579090720,1342379355,1478733516,4092700878,801657006,439952680,1790139567,4303173119,5985565460,729013476,6924304710,749031765,4471484668,4228058620,44824764,2250144993,1147186522,430867505,339689030,2062846842,4488951366,8205441669,3521702086,675163026,1352708120,61578719,4119646559,501650540,3647536242,5443127880,193802230,619941464,1473755122,98813122,1988398506,2384625838,252204583,5845818366,451032584,439412652,985015996,2656606776,149343250,605506506,5261198894,264505564,2943748665,127955655,1978324293,2067213141,1086212068,6574608600,286044816,4434774858,3903191829,4652128780,4052336208,728578613,1180127400,4159210937,4494271530,3256455888,432871484,344450832,344581268,1996361380,3045685635,788055981,5018779854,8211877677,705874960,1795903232,376746283,799091563,137008381,1882869048,744913973,1694689980,442579400,1912143144,2542883756,1649386968,1673226264,3312261261,4710689775,5329391340,3563491897,2962386140,108159636,1697153848,696843126,712798542,1729536294,792868857,2237434630,1596516480,2873553546,618968571,2693290248,4121201420,131095463,6599276782,8402832459,2120085456,1687492887,1588269178,910724391,6966643968,1185631410,1335374370,4222819041,1075118536,1271721790,1458169788,715856840,875594652,663085962,3246763740,2203917927,4173276936,5439369089,1708508427,4942844352,813768082,688263928,7244052048,2112936412,1946399348,1776049892,3817024864,2210715540,4988495958,103326227,4095979488,708608631,1214291008,658775502,223092313,186933895,797444090,2158370442,708684588,535509345,3969480564,2334561312,4185959376,735883449,3864754593,966670442,2235047016,3287695344,2831116716,1460157627,434705625,1405896498,5780649864,4560158295,475719288,347652603,2766496355,3979804340,2934604415,574869949,4310977510,1752469002,61405666,6137558371,1874928811,542780588,1848374742,660808589,1740772233,2427385560,2804611575,1427980968,1662381228,7715590848,4341340050,1331891298,2954719448,3126376455,6922092828,1010491316,342243864,1282768668,45216530,3514932648,4887099936,734903984,1752137493,758066793,4122869304,2669956827,232851720,2515382040,1733531046,2850916737,3315862690,2762667800,1966480644,7854730020,4519700163,3538320680,6462966880,240541912,742427405,1406555965,4875710076,666497800,667992952,889089681,69200266,6618425758,3115862410,731860544,1218656925,1491940352,3162987303,2980603182,725771919,7837535048,848183788,404902109,2601976305,3576079720,1704271818,1421930520,324674264,7249814,134984487,2995117150,1032328188,2254816467,3576265095,616450215,2830592376,1800923139,2840567376,691559616,4984567220,482478550,641246320,1938912472,4144485872,6234306393,600413240,1060597904,302570919,1571487024,826075318,269564124,121935815,2996927860,3089348032,720740450,79465881,2197901850,2064970916,3925315904,382398502,343470870,935066824,2544807510,2299673154,176201331,56005649,64771304,28038730,3808559484,3227616000,910574347,3176830324,1230816824,202628586,3049385752,3700646670,913048100,2682946524,2859681594,38277984,977809470,479339701,5049048466,2245937493,2648880432,2185270493,3652011668,912466992,1097739345,3479170842,2407098140,2093468035,7922525712,4358549838,4737038430,543117588,541371720,1743568512,1666613580,6412535856,122902382,6657580881,8886751272,4823783260,2997331500,3389450224,3612777835,234119664,1013393325,4637547642,6774317992,3380653896,5313725648,2486780358,1505248266,747837719,5671296822,208875670,4337498585,297727845,3123487635,1478488032,1983235004,4462151552,2244699840,4333661661,830394188,5738608296,218177289,3681072824,87792880,520274898,758278719,2206992474,842648128,4361606508,947180070,3634731376,4899903,4086152819,936353383,1230653934,3809466872,1212925928,1865646591,2606270373,4689141246,563993307,788693785,544196128,2200144821,3401874450,1708829640,1678432176,5646500040,1136265816,4439933598,697370400,373984497,2766629340,406859663,8989979769,2174475837,8683007130,362368148,3190348205,125065115,4212161550,5669076510,4589286910,273773384,1898102082,3326625630,5318549404,236059035,7679811344,2365919528,1513800582,96142939,3428293312,3522592836,673819236,4205479755,3325897539,3736920372,2545548195,2552121504,25962632,617781404,1730596011,2744473350,52123302,86599415,711792543,3818046078,7520259328,3442754833,6032708037,4326880752,712423186,2236641470,1069362200,550564059,495738870,1481707023,6641042814,1662207184,1318490299,2827975311,5025527160,6114069185,255271618,5102495688,448363321,6535112437,95200824,3398898124,4209432024,8701329897,1819224636,1801676818,1079916728,2527431955,26705708,5406151611,2068933419,592425610,386188244,851259274,2671453062,942738765,1143149828,1203180546,6631917194,2130746082,3321224613,1299166415,4189326726,4175649640,5436168264,3296736779,2881161729,2415813714,756040304,973665722,2462740083,3244401954,1814782615,2244905067,5864742954,913228906,867661836,1131484812,5882773216,3963847340,429109712,2751493515,2675209554,32304201,2864795100,399092346,4872599816,523112752,575574341,594674364,4014966424,8471506680,1657657740,768167712,1212554212,4268580615,134744095,3085783904,673305716,8119805301,1173658784,5373943197,629798451,4764361648,1044010968,462221633,763364743,3453460780,1511111850,2350057722,299234955,81850387,3081535544,483913480,130472856,1159866211,300426180,1320686913,3586803256,4660795648,2936501994,2218984119,4434313720,973485875,1275410875,898250832,4779655495,293085028,27038529,1685495642,1582933014,3005729265,2608494040,4499887023,1281359218,4296645479,5611871356,2983764385,1731898780,615113394,55172478,920690218,1628939592,3890267340,3032044708,545170440,1664008392,2397522636,1684034706,835023039,2920505100,3587824108,1972104294,459779474,543493846,5291449008,291484560,460487484,1042486518,2697416088,1383675975,738816696,4369459920,3837482908,817323568,4236506055,3170729712,2090724727,5305646472,298435172,1861940670,6541941798,543387750,3262374730,861232972,1577815902,1047670505,3959625950,4532186340,1596856293,2562877440,1175313800,2297067300,1466198682,940329099,119971652,3847203486,798168210,232478788,2675644731,147640072,8436995604,1985317636,62679946,3834024250,394232223,4004512776,4063949687,923365732,1876087836,2987047045,205609248,4652787146,1209669488,2935384665,767572178,324995838,2608531233,2149959240,711615588,3722348223,2834464872,1372718886,5998896432,2965996011,4495245800,3706586709,87297843,2421960867,767765517,1520330528,4862071914,2840818805,347208720,651468190,2507869290,1076973040,7799867694,322986196,4951507778,251510300,2717096082,329463056,3505098345,1116994030,3913650420,980013432,2127802962,4082632395,1444637304,900516088,1529869455,543232356,3637341470,191446652,2846987640,2014323470,4025754000,216264789,2195223540,966134608,670037636,1081456110,4541693317,470918324,1416762381,1554474850,1324642476,1991014674,537461540,368708454,644808990,3221822312,6793941378,840966816,4939971770,3926046832,5209222626,1660552522,560516347,369343705,685463604,530365926,1800044028,796215388,2738791848,1724327844,3830437650,1309500090,562335088,3822360485,682930519,2328168114,687157422,2275031673,604037835,741472548,1533330822,958204216,7532419848,865668798,657043704,3389778324,3703807009,5916397776,6149401128,7234998168,2469241350,3411381288,4279752580,3046429716,958428806,3128327682,267603831,3796676586,1121732940,2092733568,1716442008,2561800515,403211688,1006015710,4160780392,392907290,3164783968,1705510545,2671787007,100166556,515493840,2538021765,1038849832,542352930,4069012936,1629528858,4064061282,4062557860,543906420,2217166144,2350744815,2742865992,4535482095,8012835423,1640077160,496712193,2710252125,2939329075,786391502,2558047080,511560144,7199739752,3814569896,317713858,6164509392,766766061,50110272,3814079220,2488193760,349960818,2323336556,3009368592,5914208688,3376220330,5612569857,198709329,976598270,708514722,2053147220,2908862865,1816406884,334012064,3649489932,2761129410,4272977922,1767100354,3636989416,7608630976,3576811212,2093197264,1868100390,3014150108,4598043590,1432321197,4909222971,2024185839,4985537648,4631339181,1239213138,106655176,547740184,730118889,793818050,279367861,282909052,3511629716,1317202926,1797633978,59758934,490213772,5931780012,965972000,1627209521,307774800,437993778,1094047400,3244361895,3247586105,4770907245,5045162288,958265839,1381539120,3252929472,4513350485,998461248,124718375,312372807,4558933360,1988917992,68396216,1927028328,508985622,4818091176,1901185045,2843940723,1661053051,2674835835,610917225,243163844,359990116,457985248,6089169552,4639549716,1775077140,4366117200,526920966,558116148,1265770028,3523532364,1870219761,3950720010,1739803982,340973298,3464601644,4570947848,1912850772,1957634500,5871258840,834688684,2378969804,860559868,3284404564,120911432,429102753,1099993281,3212825492,943249090,225433560,19311804,2386103502,332978194,645509855,901853670,7520151303,4014720392,1751884070,1128626268,3867368452,59792481,1909556716,3112408467,168904536,4334727130,971108648,656067664,813294456,3862530468,2114023816,3861719472,6032782080,2859613956,4820125112,1258677605,2948829141,918919123,2964279892,8817489,7927332864,1884740238,849757330,634139230,1750763122,1701642078,1189230003,958913788,589034532,638165319,16697065,1308599286,293825904,2949711702,221894469,308707608,217330854,1400125196,977340319,2442013488,4722209856,2711914588,1820875494,240733456,5947013400,1604713080,328589280,3057818981,7324669836,3704023440,7935631731,2489865180,248102615,4357800234,730457665,2965513590,417680452,26566424,3348449379,7175820690,166217709,6169004442,7579605375,5307892240,1817689221,173651652,6550881477,2853728226,5465193276,1869353605,4404922046,126210444,2929346924,2447869524,3718214815,6398435616,2028469100,2349582985,4895143638,3680031280,2218294696,2152645012,3344420772,2331555024,4176671358,340270000,2023999160,1473841108,458378919,8136870408,2495566470,279406842,342060579,287094493,2132042927,5824481530,3537976760,477556778,324006265,5102691312,1305357030,1083829414,1365591096,6388041792,2257906839,738133056,3802738112,4884896926,4126368368,491647914,4052104721,1174552930,336654736,2124696483,3437679916,4303876542,1786777862,2256592860,3670726986,810982734,3703987768,1707097518,1171641399,514698480,192073724,2939804523,1496396076,4678157079,3812645886,4621190105,4165350945,398102301,3750687450,2359853298,3688159160,3251148992,2039494724,3145041828,674286818,7735730400,3045018774,169490696,3279133100,1906500524,2203896976,5281636542,3063013260,702788692,1814606166,5411254504,2679079924,131199884,3193115116,1148691326,1782169264,3279931445,909020693,1457865879,1106091295,1173837132,4368149980,5851882764,479876768,7834439848,4069704920,3075430720,3293761696,3618126463,3613194392,1375425236,3934602279,6165723240,1139864640,2945919990,1835753334,5690815092,6456341484,1248535880,5614681616,5403187536,2587856868,4059880244,738138154,90711730,1976058964,4223311728,256567260,5508138860,1357473360,841133102,72771858,5794369064,2238576555,1965524469,2826030771,636758492,5157191900,3748988586,1850956947,998614068,1032113537,2542219164,1490519772,2908508226,2005413186,6068663447,2563283395,2861431332,1846310718,5971574616,1771801734,5406665264,746025558,282168547,7597413513,2920485630,914923662,2484556270,740429721,1671591075,39935655,4424006180,3300046568,98122150,69701452,3418321312,1944295540,2658700416,3147749160,3949598766,494970504,2047818670,1958870736,4658272305,939950480,1569300854,3731646304,1264804534,5079604872,2625734046,3791802236,341985836,49036298,769685632,590595633,809498772,1706491480,1360917711,1267745144,5334959907,226008336,1965994816,5964375876,91463885,5408567703,2842052296,291842030,2331582894,1468447770,2888380968,495697860,2307017212,789337488,637011104,7632388744,8276110956,953033822,7489462616,1996735599,2085168948,1386628764,906921253,5042680594,1778474844,7689786,1185051876,6465178832,1393666955,4672700985,2821367276,712976751,279970698,2338340070,2479143093,2765130843,3680758774,924200956,2251791597,183865762,220854830,3371415747,6178917285,2067921471,2960395280,2090042452,5881129662,5582887686,855964490,3271378374,6495911262,2750224524,530957788,273421232,3949369530,1771623235,326761182,3048743214,7208250363,8940954402,1581757902,724574420,2912283888,844900189,4883097785,4930436840,4628963670,1522047363,1689543037,2920050126,1662009995,53680124,6134513067,901130127,7960976952,3539579022,3680008132,683327692,663594525,983866424,2860379748,6488358919,3907469832,2755169858,1868005792,1862341831,2652086740,546800146,2706244860,5616866670,6053918368,1998859040,548748305,4507720635,1910207128,2765111480,3558716792,2629672346,4237461230,6542406765,337471900,171234119,305048808,3953786328,1337837409,2016126896,405967206,2841444472,4121431770,339124476,120725288,5755960296,2710169000,533760402,397889478,2351080509,8643103083,793593575,4370797476,4446086225,676759768,4028097006,2911079790,215694141,967840484,3351757788,404541052,4528848960,7110625581,6451759215,2638511478,8883576009,3595541680,818860085,3548775627,606584698,675126942,3820509240,2202121313,4325745385,1999040385,2123650341,2904823640,6788082945,6376705489,1421636412,18147897,1904689790,2217327045,169585643,4273677072,1534734630,3524241028,2994169256,1278075060,805886006,1853229480,1767020920,4478698135,812779298,851725742,5633821350,4273230636,7995792528,651258108,3551530356,2686376964,3885576055,3552512152,1754306440,340519192,5053818889,3938429336,3452559698,3793059948,5842839289,329084968,1247416766,4207493634,611014722,1140444884,2402044626,2064597020,5901269454,649316358,845328505,5851451384,8865528831,6884735320,1099698926,407452680,1483540371,515922999,60131456,491150100,544408488,2429832488,4861235190,837101990,1560534558,3907672584,921512626,2226449515,3357211291,3366465176,1145569824,3325243428,3014161336,4446912240,4782917370,930964788,4323567396,4084907248,6856715187,1276730838,3446905308,1562366499,5888195544,5025762322,7625729320,6772023846,3947146870,1091158398,1281201438,3940708920,2346046602,4197118458,936572176,903330232,533836150,1368124737,910171243,1320639102,2715641244,459710996,2535503275,1514806563,635678010,516684542,99053064,359288895,3103412706,574321629,691282984,498092673,3726523266,149879829,535628990,1205805736,496619872,1402989660,1683104912,221292390,7151963085,5824978054,2823028056,6824041819,3680844220,2413488388,1201638466,8170488495,822428792,2365089774,4447659519,737486982,131618366,2505785720,2153681872,3018120796,2175793284,3081422472,1023633170,2788394064,3410084367,4008926971,7635064959,115396761,5481642719,113691641,408123688,4756437585,1328430309,2892073308,7530899148,690743463,531666344,1695072900,664636290,6959198430,4392546489,199098915,365768243,7504722016,3407492700,3052552176,4147597805,8210868768,511318828,3730147326,1165089084,482471995,4695439833,89354478,2254287980,3394563600,3675354090,4808307300,2105529063,1980959106,4729909737,3224124522,994504792,1500445068,2370871645,910082225,1656973504,5969897689,3897106266,6751946250,2164770384,2777208849,2089080124,3136967464,5286487830,2448110847,3470614170,5626882744,1340760040,3658995440,666022660,6342704464,4704531612,6085706963,3837882228,1067956540,675243709,3416159355,4235541995,515492838,1813795002,2341976001,3301133012,997632073,6243574995,7667787843,462483702,6783855744,2827092136,8677365948,1019809968,3465152988,864964925,3563936880,2631352395,4945144505,465012909,155555888,5258834460,675198897,663569202,337776162,416914941,339530904,8849974734,389685451,995422446,1863100062,268238383,7406536356,2081948975,225518354,4275498,760594113,361964763,4508554680,563750458,2966757642,6793109608,5042492384,2759626974,5263923456,8358258852,664763265,5655090987,497741604,671384038,599473271,852451790,3838367239,2484437130,2275677564,4331139540,1915793271,1393131864,2966678958,2139645240,4778865435,2698152540,874849892,3791622177,521095250,478526175,716370072,1791299950,2308798827,1040471924,455427016,1445200784,3253921352,2182404515,151626752,6225146081,1548078684,250088016,2324295006,3571884664,1221893029,677855064,109429802,1470390170,794852185,226672508,643278265,1887047304,836667460,7235841870,1479094640,1140467931,5642725104,4491616434,4614784752,881971628,5358361152,1084689810,2992872750,118872825,1847976636,4227892050,2138236848,1587502124,4704559002,4592372034,4125307501,629763954,2742648567,1480496562,2462648847,6183884133,1446956540,1618793884,5004898731,2250707670,932816766,7548387570,5445108896,3114680580,26859733,6548801693,65055432,4180020300,6781503001,3816116075,1165396432,2659834664,4057885218,1217489352,119495336,3140192500,5298853182,3630329307,6839883981,3661719056,3143916915,4391061515,2736363020,874034217,386584713,2840407782,1275396582,82250648,4581657810,948573552,7417379286,8933318748,7551563488,420939015,1397125232,3091866536,3188520420,2029842496,942304202,882316497,1137946824,1170964586,642173094,3116582280,1875595190,848807252,422098386,2536274692,3965451104,193368946,3532154542,1783821456,569942296,1224709722,524522445,3309203072,856778244,224860012,3749736298,1322501076,4617715081,1329598776,3990920524,3641638424,85536570,4918108872,7831825568,1221849678,834292578,4550160480,1176518798,82118396,1429761291,1271258445,2755745181,290557491,302558425,4009587555,5038429908,622369382,1134734004,2153480580,5630706752,2463003144,2656010610,1435351425,1477963704,2941750620,874128477,1449832110,1049708595,3574685928,2514653856,882259089,673188475,2884604040,2672753838,1864661919,1650996276,700553012,1086698524,4241635480,1309290866,524644330,4935961025,577853614,869492320,610377604,669226130,853167318,1125658632,4006630848,1919320122,3891826404,3849333957,4368086079,7964393968,973964959,4359840408,3308373700,2707090265,1996619952,977956432,256044852,4282271256,4363781849,2476595496,1829615904,674356464,6219234738,1925575415,5774095521,1475266234,257290980,975073791,1422660435,2152701383,549500672,62277228,2319038805,1919942958,2103524244,1844994102,8741411307,6924157149,524463094,2706909729,293961078,48167805,7616410434,725412177,3285886184,2553799300,545212266,1799776208,392992230,2265579792,1080479328,4014735095,392534995,32104373,1780301784,946294356,11580530,2597667024,421807994,241759550,1861140681,1381254819,945548472,3430125668,3449783616,240750306,2716425295,8004228210,3128670348,1267319110,1041493874,1245050695,3185926940,517968672,2454461756,2132860977,419892806,852434938,1370305380,450516062,1901131578,3965641395,2108879145,598778920,911321904,1054587466,3083548090,1288806608,138774568,2693594496,254721954,2491117900,271646778,3338778448,331186112,3777921032,3594455505,1864455004,759043698,4739306152,1244055856,2741841160,4615947812,3928289592,3480647955,2933866782,479705748,662621560,1827653496,3388315302,3036385413,342839520,871223564,2569733976,2615720175,2430959967,1295726362,2529930832,3445522060,1546572376,1076762244,181386370,1632023030,3613039248,149527377,1944631672,433664469,1719113256,388585620,6867880586,463714807,945323664,453968136,2031017422,1478483040,1083128714,1865264252,5500420065,2197229840,2238219672,8274373173,1244189300,7494540120,335693448,1713589179,1404580977,3135898633,46076356,311287215,7803293584,2899804812,2595425240,2891544740,5196957504,2390319270,210430490,1282620150,4446953320,207678877,2360135172,531448893,368353762,122895256,1727316135,4300479582,1229465574,1029584595,3516501102,1912913000,1251171009,698749143,582674582,3424484870,4885750505,908995656,921987710,1086875692,2178891561,306812549,138955248,4736448432,536282815,3736660664,6095190395,6329283417,2700203632,230761384,4054963689,4286479352,1208117122,1216222886,7846375296,286070638,574892090,759309362,318063870,3384730915,216473559,1371300156,4188238866,5525583576,6782573529,2891360040,1941336342,4376475312,689347842,6839539735,3300612354,539746678,7663728,984815020,2200308719,1850507120,373661009,983305090,3044717179,288738578,4662701050,3704688468,4655840540,3794000832,1077895384,843060117,2930179272,3329352928,3967096866,5331228330,1091869926,5038433576,447970862,1275262834,1175181700,316662144,322396503,344161636,1992243024,2684238318,1888071711,760324655,8544856473,1360185516,6037067778,173463483,1662364255,1364653332,5660988104,724970288,482031760,354148940,2470283562,210804522,284064913,619749819,1717492448,2486657346,983447045,2167812780,77709420,550680328,3647647325,854054616,1506354396,7490272408,993358868,814877016,3149088138,2787053766,2404651448,2656970655,1308310850,1034936088,2520939579,4095801017,336817368,642371114,5017565007,3927942196,20860122,592117858,1259296820,1218959709,8254012707,1497232250,3151585787,1744629102,3647478495,5040454503,372179940,1004747388,61628472,2110680144,5985845253,3042992140,3397440808,5065203514,4386303992,888836616,825046750,5167659360,3146498790,875161782,6665577208,123841254,90994475,6098560,2317958964,77457866,1791062652,6486439183,4987523844,1493840754,2064956448,616602324,6071985054,1212098704,5589776766,5996668139,290177388,1989580791,4222297120,52658766,2584014930,1403954568,133984683,4215807848,1239586122,2909233200,482146027,1155889431,4565948114,3782577068,283317328,4396267197,977827008,583904946,1371391665,1901977888,3741319545,1925296262,104472492,1912287680,7860564576,3553744050,3233533800,527074226,658001768,987264204,408875816,6770026392,615084666,8857403478,1785106926,4611803658,1833291201,5817386979,7681870176,4769487834,5690671744,664976652,569184114,3160168686,518457438,761708521,563366798,7841034369,278946091,7912475216,2720902410,1736224920,2187312744,3081424116,600446716,1943509285,112241886,7588517301,1121805120,1832080616,382979366,2897370715,1204536990,796620500,591558116,3059943039,328976458,1851196942,62497967,2845682805,3248076087,418296426,4741783320,556498971,2609433928,911043522,3152384291,7555765590,2231023890,758957287,1073122334,2709721212,5832774312,414268204,3238743213,6191619728,1999978870,168870694,848534506,3777030780,4782582783,5992135992,136039970,306844410,1787291064,1296488306,3067137816,239208715,2460767450,148942864,17627412,698131314,573354756,2925278880,1252535,1351835500,73387115,1568863455,277293948,1147458355,1555041740,714282660,4367451150,5025987960,377172090,867152899,1954438404,2262993328,1181234817,1013947780,3218992861,5308123152,1092071945,3856912260,2542532538,6777704688,4419378678,315038160,2879728953,1406026206,583452581,1629515027,6485077912,4780423056,5805475620,1553782845,425678172,5999038218,3044239247,2177462745,5458619979,4399331940,283917304,443490324,3361564668,3298183032,1629295628,4105878160,1110779745,262117496,1165241320,647476732,495188015,6142137030,740584543,1442244594,660247556,147223872,8860917924,3600343200,2711450298,1550054156,1378099340,4042034200,6033403899,1233982180,2306853672,493674260,3833397561,5817102568,839393658,4855676042,2838332380,632102282,4729170114,2670292765,934373814,3882175759,4263175864,270592890,3258126750,284251835,1096390056,2563393326,296769669,1175180088,3914664472,1918940920,2295413728,402044260,86326716,855230516,2864241032,3845323460,6690490816,1141718350,7316006769,148629474,722099178,2642570470,2003445020,661374757,3654881524,2840216456,2759195295,4674665072,738117295,4995070031,4559925350,840397651,2475844348,5886353025,6638119840,278067800,861144592,286818366,1552273495,730719313,512740247,3454435430,24447621,4440448908,1083428214,319570136,2448782508,3940618388,3924304405,1969740380,505257908,550481247,4443474512,5533215080,273179612,4051960590,7692395949,1730230880,903540640,759254602,371032400,2286944720,1731126114,1881993210,433909781,447012624,713181066,161098405,1175595183,529989283,4656399790,4251682440,1636437036,2883230468,6843254670,2975766804,1047177282,4077737728,4132353872,7652785059,114511096,5944277871,8146463103,535889250,5101492578,989106268,575335588,4984393527,5242014995,1705174326,1526004695,6110105694,507477156,5062538552,4683877422,4451756022,948859206,1309830264,4273536780,209562297,490591039,2839809615,6198788538,1051089696,1143529164,5952826944,5052889116,1548805364,892122144,1364065592,639891714,6338802224,4380052824,1351850595,1495892582,980451906,2366706992,4824481158,1341507265,2789555216,4982209610,4124689884,876533160,497052261,203411112,3378033740,3123348102,3017560645,3130909744,292191332,1513493250,647969670,1892940672,2854846449,2193255834,3676223956,582930249,1945623104,783954462,1479187485,7756563872,3838525560,7513896960,812626566,5183764893,924828294,3630887072,744365748,429463342,25628357,2296357336,931621528,4660287215,740257354,4124830332,3784547728,1222882328,372348721,576632484,3071463390,5747110460,616393450,3835144610,2933146416,5431986744,5605019124,6293329406,178270612,3264896802,2598816832,2882378787,4880639729,972608568,480578048,5689679796,1223611446,460470264,1981302819,3532323668,3009677190,235250289,805320175,4752623635,151637748,6077614734,1952728566,5892592293,3711912029,5663737272,2239843401,839779795,1156182686,2651236008,4966515078,361357591,2594667219,7352567316,529255242,271455921,2043035816,1652420145,1054887673,3685052562,2067824248,3073976862,732324906,3053389516,230684256,656961162,708781752,3306209404,2456804952,873458685,1567537056,1137511460,3244094035,2842487745,6623427042,807389353,6031382084,5103705984,1574198064,2419067212,237077226,804216467,3052568511,2379362985,1391437224,4676228785,1544947086,9006000,2756724534,1719171720,566856246,2346724440,596371136,1733051140,2837236050,227458680,737404680,1587999609,1281334408,2186121245,3764048562,729804602,4174372494,1879971312,1705281240,447612365,68275620,125178822,8860297419,4304868525,4434294480,321011896,3592783431,594578339,746918874,862978460,7290354285,1452141063,375093186,4103902296,723182030,4910056900,4498268965,2737109035,7850127258,10190644,3688625332,1503227024,1648280100,506447298,788418751,6774620562,6814267911,1074634292,850768780,907607892,1827315132,634134684,253220024,2227764360,1479529835,3724890687,1236321750,2351665764,2686540965,3469714465,5722311318,579813761,8507973024,4598572536,1432879432,299987826,379379160,1879170354,924174142,1503637842,743090234,734643160,967637756,3412859690,1765437920,132712855,3831689284,4839819173,668175236,3600582222,1907204205,5310029448,555536660,604080903,4827808160,293742048,2832488928,785233881,207403728,1970850024,1645487595,4354728780,624470660,1392862660,3452946848,1247405540,1264257072,247393223,5116243720,477545457,3017223540,754139283,2219565987,4776775031,354061660,272695940,1215780942,726079548,3355102350,2816150253,2558845770,113963310,1636376265,3961883076,60560290,1465336665,5221649034,3154311752,1292937544,860056914,3384188335,1584609378,8715326202,931157923,4396276610,2076752127,2266220196,1360574342,316847168,501767616,653963880,3373211541,368017220,580572094,745332129,5301649458,5487696441,1061363130,385696970,1419530370,934418862,941590388,8671882572,1631312032,716756571,3616770960,6031659465,1117870642,3399712281,1319732687,922884950,2834690922,3975843522,1241268322,5838249015,1548217034,412731570,5161871764,7002376758,1727484882,6920806718,1854459845,3179783292,4983853644,12264805,711187710,5143662405,82312056,1711429656,792798298,2890584288,3183573712,2480521872,2872479358,2002130406,292325572,4109401608,1263744264,4722586731,3923768215,5065258920,84695416,2770719080,385609126,6616155021,7472075064,2793778929,1829285778,7596507320,2075509904,1668057998,3834217051,141128359,2082324244,638681012,4280147368,286945695,1236378084,5623324026,1211182524,327890238,2987939997,4307061888,2953846623,3593312768,664102145,2815762856,5623670256,981686456,592463169,7573701608,1628961700,84109500,210553406,1899063328,5462509884,705403468,2002464400,6932423700,6106392348,1466499136,5776346592,756765189,1074650928,1837516005,636368485,462581987,74001170,97034408,5483643876,2248415382,6389234904,6838804413,475735224,8858647962,765367663,377698126,3509626800,247810432,1967426956,5715383709,2022794456,3472020144,6565253816,878042709,622896732,712276405,1644576108,2844222085,2856649964,4809886417,1074985484,70141633,2647842168,774380408,170936915,728810240,110149740,853019577,4522712670,134078702,1783803567,514323200,5657958216,4422690680,1934335396,974290447,1799038605,3701611032,2759272780,5308145436,4730939004,1109931500,1593003444,2828054860,5931890964,5707969020,447202865,2136182823,1162438504,1786028373,917512515,5393082128,749250711,182544092,215027355,5540604972,5982112878,7657470144,2253803888,537527313,2360921096,566728351,1589903703,1841707364,516585030,600071160,4182323445,7929691024,1059300864,6664405734,2712522006,403793301,5585547016,480255672,61597310,3219910160,411605721,1185510456,645085444,3632647530,4447406936,754461505,4965883440,6633938521,1309757477,5910104154,3640472820,3103324357,812606466,6048656307,688678614,260265344,4712450735,3791686092,183111335,181220172,569926509,2371466370,389381188,3082096056,4383190980,5704664160,1076246880,5363198855,2562071967,973462490,808890738,1114110760,3084228182,3415066896,2277588334,876988935,2067233436,4217744008,3393769505,3340136592,50206068,6990017811,3611828318,1778541090,58822311,511540968,2353249368,2661954792,2996669715,115923460,4572114680,5964102585,1864666245,2747769126,280715100,2145032982,4034747905,7520536377,454160052,5374540296,1905187344,2769233692,2895907752,3701598136,34069350,2918102958,3134304072,8765685936,4422049877,2696106258,3146886261,5075591948,699779700,1591615728,319796760,1779334581,1016381766,1446549327,7175062128,881436210,397300003,59767324,796542428,2919199719,2371799150,321795230,7949088088,6424291748,1674516404,1766639330,5543298072,576031672,758977605,882351420,2807006877,372427553,3570234180,4368092625,2557025928,3997441266,1839228102,664791579,3063975530,99017305,2837057440,2361668344,5216302238,1991565804,6751916883,488153418,492265748,997747528,8074021167,4048226608,6810322824,2718388692,4951429227,1599683180,896524536,693741880,2473239595,2208624588,2275413441,173870302,173960909,452129600,1356670470,2052967062,5421259575,1212327540,5526285653,1870525495,2527688140,851237349,4259535483,3750374992,5628851620,2634824510,1044615004,1382561100,3166584825,686506672,3386948760,116051470,421297704,916792550,4948851708,1899243560,29529487,967974234,1942589824,234120530,2323617720,5422654512,2254518992,198439092,3593375282,3472919550,3379552224,1145146002,1226933824,110218542,2811081900,830693143,650800735,1453708548,1415991612,291454459,930488188,1203832536,2849955072,873640954,5638653640,1574728893,1279370942,978843522,4947819870,317364968,4536354276,102218795,373411420,765350006,1077672504,191661967,6993725956,1684430702,4951810971,2861974888,847775896,2866500420,1775018594,1758915452,773137388,2831484582,1446930843,6793048878,2772112098,555532200,1701780288,2674841404,2053097544,58290847,2228751707,1603275064,297343174,3808724997,1948521880,6543883780,1975574740,5992502106,4411160790,1078534132,862070276,107005052,282082552,565212427,3347464290,837571962,8850148893,70336586,814779823,637037797,862231824,1929901509,1732382300,1883725971,953323464,966489030,1433781788,4328527328,649250204,1274328272,410076656,114494682,2998291347,2365789932,5422287528,889597645,4657132669,6276699984,1817630496,3185022088,4310306760,154865301,4511242170,1428120995,8792469,51598924,4639760979,3543372944,2481370695,1555173255,2500794289,3241104978,4332268944,6977882248,310972595,223035688,1916575122,1220232780,4374543008,2734044342,2088940028,4207787406,827618685,1001161396,684705068,2827377144,5849374632,5008822515,6594930054,3098968888,667824375,4223405244,148602925,3513655768,3593597800,7525121280,1182587283,753002424,1987540454,1178053314,1264432226,5055763312,4468074825,1891764848,37668076,5495255168,1329064377,861079494,741799450,1643300272,3775612824,1331054368,8287661241,2224002424,2309172117,580410540,5940435666,6621497043,413463132,3424952975,2218413324,959432951,178599342,5286152988,4469120145,812776530,582708665,1829447604,477458628,1157160212,2566647090,3735953068,1955141780,2791640210,3964059076,750807920,299810163,3017292552,304903182,411058848,198976527,429152580,4301073425,2542860282,1326393402,952219566,1713234516,547340800,1141134792,239868738,374937512,2138448660,4531098402,2569353750,1555682826,1570514812,2088564819,3445870215,2829597812,5390941944,1530848085,294884391,4352548122,2828546550,4394459570,4934824038,3618064665,1064666085,227686887,1030669569,6212865764,2909208760,1256507446,3397131192,910662942,5489309630,6717656253,551361090,952011735,5441323842,3153359594,1543560060,1449695590,4368824937,55783210,2104576805,953567356,1259544268,2387129436,1728427356,1634745818,2825395104,859679621,154762168,1514550216,1895647870,186570280,971977972,3658153289,3844011745,3466785512,737093785,4325815000,8402916780,7261654552,877111331,2982142518,2822793404,176435728,115394550,4303708505,5020320410,2177380059,225016480,1297122344,3907666287,1983323672,785168266,6385391166,1527105990,2570465596,2588617696,141276172,429849740,1947279708,2006765508,649947200,1192373875,5414201550,360784822,1316576625,2254156009,1160198425,7780576086,4496979032,1001518536,2931969435,3994353600,842278823,4756787985,74902208,3430681910,2654178276,1317187316,931181272,3914136496,6780113658,1724914082,800054,384513171,1852225820,936471270,3417621708,3070154776,2746983490,972604782,970023864,1600449648,3568787592,4920328208,2778712254,323550696,808172456,1519182861,3737105435,162117378,1563957820,3095641448,673740324,7761711096,4368275235,483159820,735773163,2117004675,7866194679,894294826,680777168,3821054784,635976288,116452638,125019702,5684415600,6293411424,5645755266,3039765912,5419036840,5547134562,4516133920,2386985769,2351347803,4945089480,1813936572,713014504,286781467,1949226951,1072085805,930082257,2956404528,4306653396,2214434176,2046873176,820496277,448224699,6106088889,3729551490,4789017462,558532313,2287493464,5406506735,2862480464,3137813588,3232396540,1541944229,5277088280,1424880470,3253971888,438533508,7909396864,6551280248,2276726109,6381093744,3029508000,2293366730,2390526603,1897088298,265903256,1306757214,3545510965,3805933736,175241436,1205380143,1103647898,164841302,647109114,2142051430,546319238,291095217,2009557953,1863026388,6514085853,786826692,714959084,2748354248,2901936755,1088767895,1047414872,1849494445,1053494712,1510572436,908531430,2027182236,340533099,1827327910,7659398288,299256255,3631973248,4915248552,3761751540,4361678658,6757208648,2540878071,1905136616,6452193852,1618098321,364225272,999084536,1330709820,5584805856,2101064040,363240628,3762706536,695198914,4835890485,3448048524,2868766229,4037375010,977207306,2851758995,6404155919,4564300945,8531445339,2112741699,607888574,578357261,2488046922,1096999407,1047881088,6398574294,5632783209,3150576408,125793554,2996735252,803893993,1073233368,5345937585,5664845440,900804194,4263572440,2599087304,956655395,1252439530,7052213536,1583446224,5276839496,509078198,3400118120,5012006696,145573579,2920333434,1239752805,3180252678,1149312915,182241276,925006,265359938,622602787,265858101,316481850,1140485760,4063795488,3205457865,1443933186,3329836856,620224812,842606007,2658828846,4732133889,3137924660,3649667220,4055413190,5834767560,796482588,2179105175,5925367476,395973382,1338909445,1745756202,5483025816,4335575652,3578286464,96372565,3686884908,3191591879,4631099120,125425182,3194874470,1664303775,4842666300,4699917820,5807569754,1641958362,7647354160,6522197432,4606424370,2530529696,1222465010,2686220397,1537648460,3721872264,1668527894,1426331956,333318454,1444852820,1418332194,6968886533,1351561074,3690010068,669890224,1626984232,2172314412,981430695,2106940184,6346590341,3031069986,4464657750,2240038310,1259998088,173737716,5582782952,3799684746,5188526112,2375706336,3203270252,811417248,507998068,2815422543,13521028,846108834,375844679,3221009865,4478388610,1160583136,1562442080,4985910207,6531666435,3713526516,478045022,2455038092,3441653568,1103584905,3554519542,4391786120,3519085488,557532255,1535195922,5728174584,6350066401,7113173752,716159398,2582937801,4127003610,1584968166,4351328807,3172749978,324214588,1005687724,2521104756,1070735296,4649795105,7201186712,3217876328,6775434932,3086672862,3296369622,5492724188,1194472530,361365148,1674421998,628665324,826771644,2666594749,3994326704,1733638795,3111672285,785295090,5270785014,1284488907,177823450,1876652298,4617446004,3295640256,2734383225,1505196976,4976334900,2204737056,470894589,954181558,609163810,2210581885,3229787256,2635259835,2178735377,616227746,243632119,7159504050,1070818424,8994039696,614332638,1910875188,3862003924,1267083916,7891342452,3373991306,5605809222,197376635,7217059248,457090537,8616707361,855699818,5024688912,630899830,347728240,4720351272,2577206570,6070746128,4150833348,1541904822,3925936912,6161380308,1351767134,1154268315,159249006,3577248604,179196728,2623975592,1226208964,6114031160,2298077811,915260028,4077208528,2094980868,2337251764,1423429896,2187751688,3331727790,7235203408,366258627,1943200440,34005876,8233101621,5089761558,383624392,63287927,2358695691,602920545,149195064,3006247144,491158179,1441429806,3350586072,2649472876,3872089465,5419641465,1354986810,261343850,3327794856,568536074,1128353512,507754497,624133573,249977105,572246210,6042093806,2185435352,2989989540,436349928,1504132548,2419594576,136805379,601058721,272084712,144425535,1399945005,4217543824,1601861290,1215409251,4804893702,929951973,1206270880,2294059590,1652175324,1861119180,800679831,1893088884,5004774522,516761160,656725161,2358908620,1139591992,2459688315,2152410368,3073641388,5878584736,2773629383,2730173367,1753123088,1557047496,5805432800,2476685268,2318026062,5125116997,308423232,3179696832,352125512,5017850298,1320229268,170729019,2713405560,2754552186,6977618127,4071379870,2959131585,1218299175,2116264884,2692884663,3648936460,757285028,1358549112,3231589400,1531727384,4382507214,2486053320,982224859,5143015556,2669392320,1379295540,4841731704,383403952,2446467568,2142976920,4033243575,833381246,4095538304,1961160355,642647416,1456346655,1755905358,4845145265,1934464560,6206187379,2763750730,239108177,841378880,664250340,3319917368,409577970,469586032,181114977,947010232,5942711222,2946378111,626888194,3839303349,266261394,5604142632,2720490468,2469902958,8284295475,1456199716,2633828253,1430135928,4944275735,515298890,2792967735,3324832488,5493223626,7363443840,6513664086,2129111980,990394394,1424287198,680766078,1105965027,77887377,536495762,135574631,2627213826,904616912,942029480,1884721300,1653612278,724425983,1865652362,1480096640,6192142194,937258154,2898581956,122955855,2833276380,724671027,516000436,3590841058,4848000822,890753973,5052358944,3015453623,362253838,512743752,4562220465,4751043036,168028020,6214554297,1150305642,1625597695,543202044,912453006,1629917946,1447422372,4465593390,6142765790,3694382472,2577298848,7376266449,891190200,3146194416,3791334560,3525155082,5706621876,4544356788,1282987004,3716971728,4752905688,2315407444,590440962,891609828,2452373378,1648846094,6944762088,1203787124,1243408692,563180158,352275078,982302902,5488806029,132983250,282669927,75732299,625781105,925101828,2268279065,5555047120,8139721383,1751783805,2508565674,4827038292,193534680,7777862424,239164145,1182842553,7074021240,4436364345,818383496,921330326,209878676,324424558,948176385,2501464995,674040717,1827658700,2879721219,3862297840,3139457808,5385607704,3814545528,630481915,292665003,2454750540,2415121566,3606534552,44446005,3721352432,7227365088,543426076,446640536,674203795,3572645840,1145099285,1988607063,3562210008,5578389333,5965411362,1994653875,564029380,374742011,2110358728,665031600,3062812557,259230156,2443492701,2378181575,919617242,1389027000,780828932,555437052,909988034,6295591917,105978038,3350261698,4619449530,3560481972,58767976,6269969790,2624360011,2670372240,2036197752,5857130538,509132434,7818526264,474024440,3248490063,1083135744,813777665,3165201444,1991572767,4433083910,2382367540,3474782232,240281502,301077534,8491783581,4357602895,1003512436,139147125,746559674,2720177325,1773385272,2277166056,1809874584,1240521240,2447331112,562124115,1907529750,2948394063,1393371260,1189970199,1504954572,5970349928,3312077548,3438527804,5383159200,4904543214,598896336,220387854,1855480536,919979848,6987679895,5671093638,1636339305,4305432632,4507624422,585170496,1320931656,2329064745,396671996,1642926762,2919965668,1733183108,5335355052,1454075500,781873174,5403446040,238970585,825076181,1313620744,277968888,458223262,508003569,263244408,1559109468,1439048154,4222990208,1579089276,511282765,485692758,1266049464,7682948656,853189083,4774822940,2125730915,955091369,3942707416,429524175,1819906788,7769384559,3210116574,4091236680,549528128,4908797050,2836687132,4366638430,3736774256,4772396910,1346934201,1646258012,407554772,108312297,4200185941,3269658553,4563321252,8616839238,652384809,2471308938,1727805842,3456316465,965997887,1517247099,2924986260,145653106,2145145230,730470165,1583299016,1040598735,1106579724,861264271,529285480,4450704080,2488867287,2328892010,5559024051,831223630,1268819703,899011095,2500010160,1787878672,143430266,819940323,6585124842,59589874,104856968,115721979,6388918360,4759303986,2302291170,266789802,806449764,2202352758,15815421,6684855176,6000697035,5931508472,929430434,975575185,6739889238,445873284,1679533564,344567662,3268019034,304717264,5787133542,5679090042,7543882710,862327696,2485382508,2114635480,393707164,2318133255,2195540192,5711662416,1215055917,19660359,3491847376,131726854,221341368,735177516,924725842,2645005130,1270432023,6328400224,509057823,5553547230,5927931450,410896888,8402375052,2425838832,5853303520,4168691370,2026255406,1210017216,4744705293,492613629,1148412668,6225674616,2114551008,607923738,1290149273,1603753168,766722512,857637784,1625520345,3560357825,2129245875,2095236045,937845504,2956219616,312149442,1384257620,2003088444,2583323811,255837810,639855821,748907613,7395171200,2148488195,233918644,203876868,943606629,8725319613,273212418,4439386062,5003020728,4357081610,5683183552,1786131208,1085026528,527343183,2482248384,916698900,5492109285,1707027662,319111218,253173306,4677889433,1595216490,7739469855,2099724144,5137233920,3449313154,3943621880,6462528760,127735760,4874661694,1520806722,186365102,205699168,235696742,648379953,3674297910,557816646,1976493624,5071702074,4666166670,5786422960,6435499896,3208440070,2726769882,5450937048,15814618,2527742688,1457190472,552081996,1741019421,387175473,776696360,4682937522,57575320,5972370033,694256922,2508263372,2179503728,4952887768,751074771,38696392,1737381336,915695462,1510513720,4194775944,1653015264,3523748751,4625108616,6559012250,286368872,67468886,188569567,480081954,1049993268,814149261,16695470,2537538689,2702689920,715323663,144785403,6606256720,538543583,507941973,2469691071,1074102357,984664397,2490018480,2965310812,401334100,919766632,3519008880,536356994,2569001301,1777719645,3020718640,6408346128,511754070,3131223550,3709119843,5453993398,4801110296,525189732,3130451849,2110814847,1458103364,980211842,3142369320,3689955,874388088,1900699698,114331590,2011769100,5199440319,654327465,3495686800,4121692656,653806611,6891477288,6036972948,3281602150,902974386,253246502,166666376,2287060867,1931992326,968394018,3213685824,127256976,312715340,2714003365,7764062652,565664220,1691592112,606402846,2563240108,1842132066,2431715912,791417848,1476260950,796481788,2063663860,854560701,1422692910,424734120,3371263456,2281693112,5168334876,672536975,4644985176,2068353870,2661118620,5802567582,1531928948,2256898232,437126780,1329125540,3782928692,1651310240,1331377712,3897586364,3860437063,1908740000,1609785280,1230222015,111446230,3156799920,4476388338,675361925,1419569072,1730043942,1288133160,5377943137,2179627676,3025697528,635932240,704702132,1808673380,2103884342,4719384467,1655317713,8474715801,3610030200,2869073874,5225195370,802482170,893078020,1417650066,571910562,24996800,1675019796,2156531820,3469609215,368474116,5276431410,3796825308,4093625358,1408166072,996606435,3863943216,1274906708,910077468,1631971248,4268764953,869788688,1394517426,1762864504,407414428,1960029446,137371352,751829305,1272761304,697743882,301699852,2850285288,1914601161,4880912420,2913380560,134671155,2796450765,1914813513,1378877838,2917184712,3531447171,1131817554,2270580460,763593660,1202219516,1252723955,3889290220,3302743048,1682243171,1829294456,2607889760,2767718010,1624284658,876071400,960455940,2703625806,2189452698,227300019,1147502660,1821036624,730826988,6461615265,1601408238,4034767965,1584914110,278547801,314265378,3728603108,1210550308,1944349050,3063853974,952718496,487031956,6482574371,1105685256,1201116784,511454050,5776501381,1043738262,1954374572,855856569,1596975166,3258989520,7420809152,1719807052,2402834776,3332842376,1352601513,1721220520,1878025216,540699470,1672441205,5283370086,1806343836,943725801,6807120971,1925443110,893173048,2548961157,676714818,1464825650,637568050,5390427414,2946512045,6268316958,188072064,2767824872,6644657257,284242944,322734505,1231832061,976652826,4342686194,4782783222,1646838170,952415786,3004473780,1412239262,1211031096,3990757526,2198576040,2593809448,6911733015,825612249,2727124938,758386135,288654126,3852224575,2881572505,466307205,1634223936,704335604,2064106700,1345366152,7417264880,1854426215,2093702056,2576717605,5917120248,3104576776,352542766,6681590384,1415164457,1996890168,2894699224,4239382060,5667865428,3815761596,171874728,4367730612,823456863,1222944102,3443216805,1350234370,678901364,164077366,203590568,445118050,1262457927,770664657,886369816,3623001815,1750047484,1712138622,2442618543,3282743992,4865940115,3447143616,4368897450,1531584110,5777702004,5061702780,181004718,2949505325,2221787235,733045847,3624388800,5330260250,1021094072,170595444,6644764350,5663129895,2299564800,1076442438,6363358452,2900872020,2302959550,1078760764,306208936,365949976,4664078675,7187350568,1473153856,2817471404,972900952,2594584911,5131458,779376156,4248741660,977460000,4208857146,2012132769,749459420,2175831927,811424640,3736551736,6600712248,8183341152,1506840680,677487966,505141236,4294578294,4727678850,597983603,4306730238,5464496007,6860163024,8970475284,3761381005,3221000215,985370625,567535626,1826236284,2789987868,182850409,74163222,1678098960,3494470256,1889872472,3249885365,313810465,426850000,2956764060,1154973180,503653149,5948732300,3791081920,8559868212,7117090353,278790367,267924808,1850900550,6510593720,4154246052,6454605731,190888536,2781008844,6845987511,5172886380,2609610039,109344564,2872060071,1605708422,388808112,5628453456,5890034871,1647903699,1345696132,1749068478,304626906,1849450001,363905436,891296942,1368756162,319257825,3213810648,2381850603,775122750,158559643,1572016142,4115258780,418467258,324298062,5691574788,598348095,8178954462,8298764649,1341645789,150876404,5860065570,3348272375,3148812485,5603259852,2726607300,1833600018,2858308024,269487568,879321840,3441889530,697986192,2276293662,6531280317,3144764152,1774993686,27104932,6338504040,831738765,451178402,2340465015,1438981668,8475248790,1210964103,1980619347,352926908,1855030527,3258063054,6036321760,4075754688,3304954080,892347965,1676937184,2394906812,425011776,659639721,4441190425,5321641509,761076962,2655675603,7583846526,3227543190,611504945,519554007,2944995032,4207160675,5839620390,1663050790,1072265220,718874208,6548451588,1745071632,3780436824,3651537244,1686025760,944475661,3695605855,1690734165,5571629602,55252176,132998509,1935594954,7962172902,1820919544,323326152,2637150971,582222987,452689582,944565839,379458702,440524821,563859465,282802450,158310402,1002318785,983731158,5171449104,2900647360,717132132,6414930080,665704296,563030692,2424174968,821935468,4707281185,5578214412,574403688,3282319650,530100228,4683284520,298552458,1154620726,3913867594,1125679450,115356932,6302425857,708764103,689871040,257717857,4955342462,3045443065,2645815610,3914484828,15747800,5778610864,235276537,7175172728,2598926721,766025968,4506101684,446512926,602461301,978951394,1283632941,4098799264,687102126,470630994,2001806703,1246859180,1943882664,723923200,507737936,561062946,1702644384,3247947940,2493503643,1877215485,1990324878,335143258,25777927,912552175,504218457,192445832,3211299742,480922524,1481177223,949406133,1076412146,3717620440,1533723264,3799401764,3557631312,6161301009,1025149770,670694478,1034724286,998820912,2964794535,1474393491,1092282395,2505131034,1112157080,3556609524,4421746440,4928526545,2856816820,424122294,1285329850,2368427229,174499980,2001763854,3744209220,4892137335,3006074496,5622550569,2555006022,1080500778,622939434,2857445000,66873312,1704066066,4501477880,1759520890,2984332690,1238755502,1403557286,911516435,347467224,1481664890,8800833222,628704304,3793993815,56418692,621410094,1272484788,111302870,2040102932,2353032955,4541518764,506749764,1010619862,3328773704,7233382935,128199526,238251475,350959476,697730509,955810640,6191933032,538166408,520071894,1745107553,148384326,5657818206,3941853480,3506200904,2710066428,4741619760,1263903012,1823400273,760409811,691613292,146735826,8187235992,8856829953,272568373,1482447890,837288292,1726522935,3648289169,807926985,3183824412,3188727171,2602896414,2110268694,1965500466,6998676433,2894057152,6469470252,7107087915,499159230,2284665432,6613244919,702905154,4059735632,1130881970,92833778,1092599058,456552988,5945986886,2448007662,2571580555,6636170776,961014330,3551281338,2198985418,1447743024,6659022456,2675884068,1623696380,5205081976,22479255,217521409,837398457,3381930181,3881388536,1980150144,745570836,1241317080,3670210392,5482352869,1082960296,5029489040,151179656,3529266584,2242347936,7659086535,3453388400,3742118752,176677148,2336438466,1764767811,8322395283,3977003472,180459141,5137349076,914534383,318742647,2341529616,7592357024,6600287491,51471582,2613235695,1788895509,276676161,2312431352,5516749376,648590680,326978858,986730108,2202180880,6615042128,1361953167,802583940,8477949780,911563084,2425974372,741743784,337627820,973704849,2546650464,2594616124,6703710951,1400319207,1198994733,3063862210,4790399823,48404720,4358871260,2708996140,1086655706,3498677874,2777688357,3028693440,809967150,3603815664,446150394,2379941463,981041075,3832523640,156043944,2936429970,379799552,3374753725,4178541144,2126073762,6452316016,3916490592,2645747775,2138367900,6418433646,4867480704,3116815535,6548854446,3475347088,790530783,1116908042,3571138928,201601645,3945287248,3019071132,3354844672,8196607404,3610534744,5241571657,2812541232,591601096,1819041144,3993019344,1593209610,3559756760,1621554039,4114730115,7360427752,1913110696,53480942,3219239104,4944221392,4641597024,184918464,3443254264,3025599750,145407618,743215266,7621984128,747948168,5036367800,945911064,15193340,1507087085,1677894918,1931937896,1258701267,2743765695,5285658328,4808909820,3886103950,1174124679,3711573252,5394329775,833913300,3857476378,2584476852,1084795776,2971207287,310789530,2791965785,4606447044,2989580910,322949778,131930695,542240128,860196546,80963176,1281082875,3121885880,4752848313,1678015422,1489709310,565696563,2575569969,3838232139,7379417912,2055630545,872876376,4739275835,4716953435,7409885832,945233217,17049870,187943748,5724747728,5787503640,3472478136,903495603,402527082,4162261866,2442910395,1418358117,1207530872,672699028,2701836280,429117275,744034580,43443237,1251514629,1925644233,870084776,1399061102,999427857,3188103370,4084295929,3488553446,785886626,1826585192,2619692446,3237917112,6699859299,4513089612,1786605768,3222617532,6891527279,1523059384,808301922,6696807930,454085600,740418780,258401742,838414070,578124604,1628611166,89291662,4982820834,7531092968,5043252256,1112943232,261175752,1388857028,992087240,1604046224,4222221453,580189090,733703990,1212057651,2748311856,7968830168,1936577937,499915530,1902264490,1237731338,4617182268,2138981439,4080771570,402598350,2720194288,2689966596,4132138140,83451619,106659280,2115171984,5142446034,3082350828,1181539695,4662811266,3616020640,940312740,736610228,1570620768,2383095631,4398671466,738774538,2747434344,453850961,1422026336,4692183468,1010335770,4107970048,4744574379,7685104050,3521195928,3807235914,1223255048,2057485710,658170924,941648868,141498290,667435003,170100500,2419994784,3665349582,4847617986,5329757052,232330734,6592039288,498428218,1343950044,1684706958,2678021973,488608152,5773438380,475117,285488891,4629462995,2835824924,2497457007,2146701764,557569881,3500438502,3797912328,6743268756,760897856,3351223029,1904208798,508805727,346869621,6038149761,816034198,1831031520,5947957253,5370572249,568760940,1535480088,570189294,1170045210,5695142600,2572129400,628319005,5352815768,3375979975,993307473,4000696765,2124119508,6449538472,254442323,619815219,1926391838,4294998408,6283515287,3146493768,824132757,5032344270,1766785293,1160794794,3927777432,7742055784,2813228630,2063158072,4110127566,5629998928,3863129112,993581016,612315855,269912112,3485512500,5490989298,201971886,1545612048,8231478696,2430688664,1531620064,6959512352,817520940,2897532740,7965566944,1925524643,425491038,3861257776,3736917720,3572844516,90103446,3430002612,67915100,4980942312,917786542,389956158,963700570,2059048407,2445435840,831305925,3138803815,1904015360,1982680050,1599035571,839326280,1059281898,5516126640,6677620656,4441333525,3441911172,981955528,2171339022,5220227064,4029460338,4013284877,161949924,1026488730,3635897848,3423625520,843079572,143752649,6188432530,256402600,4522207638,3708445768,353054164,781665532,569395178,5893680304,297011028,6449256192,372224284,1633011078,3517618405,1660067640,2370971472,597619334,5275280718,588130290,3751204608,7098138152,1500230216,249703304,1909618044,3075060800,540037372,4242687324,830554728,1063728448,6104235699,4561636704,717182950,250933608,432594042,784652512,707880495,3185439036,4891414785,981683928,7826845689,1497486183,859268792,3680529372,6513034248,3070060644,1346755095,1876850606,4248963594,1118357910,4451728001,2960108796,7118548560,5020475808,1512736764,796257492,3796938024,7449072072,196297714,1212397516,606084785,1983860532,1942580061,161649590,3798742780,54740704,2808187479,7581783114,230625760,5321357400,2674984350,4764553892,8745028047,1152288246,580631516,1494874745,2978089128,503792485,1676918577,3139053164,3280530096,199671726,288441167,2155640796,391158096,4903887702,976306504,6809056569,3475635144,62580066,2994749072,2708821776,2441431090,8745121071,3874451424,354239598,4417096000,3391644000,2500301490,3426119296,1705035663,1064855148,4476776192,879816246,979214772,1999423054,13611361,1626238413,217277772,4865178906,178328257,466364340,1039483158,4613963746,482873142,3569658390,1073604076,5742909018,7575831288,287544600,3242970776,198543636,738881269,447958296,626364108,389854863,2176076070,464209750,2909296854,4513044613,184842931,2386105812,1307483856,6157685485,875287221,1240243496,3931129352,1676911821,3623002788,4160206545,1126371224,263458304,1077997088,1741937926,944700849,2089127286,3441853998,373329696,3724526484,518206808,959496712,1799085565,352758126,570731840,1979470880,6148207792,3661227148,3595012255,1947739285,2291804080,782826291,1473343815,162888968,6817163895,2837649450,1724354322,2223821008,976653564,2382316638,1929672276,290722088,4571934370,612606456,3649786656,1626755802,413133126,1401734178,386492222,1582412757,3885700355,2187442080,1487904054,3914973660,806385328,1728724340,804766203,138887443,245561388,1521829099,397785006,3088388790,411003437,356372156,92241208,4462701792,4385821830,2671568976,157671249,5107655691,1085916820,1537929204,2630600964,2904336712,2952273270,4449325608,4732786751,1430998720,1786722068,3152638713,895128477,412304322,7440215319,372705366,4485612906,990431704,647888645,1188520515,1767542976,6572991834,2891574896,2855296304,177955974,1143325410,159515398,433268343,957624196,4441565177,2917985517,1664610270,1106199620,3215115312,3138184556,5341469434,1330722148,400038700,938332865,715057896,5775749592,1362534282,3443426208,512274965,3544021440,2439856064,2901227585,3992138055,2634016180,65214972,1749595834,65869295,8110692009,790528914,289862396,486155318,153292026,521044641,404218264,3631691530,3384188220,1010607152,2453626014,8557371063,113306008,547460193,809020552,550275095,7969584680,708510860,8322405093,228262377,623668256,3682301406,3706814040,969016631,636586503,651263559,2963252138,1611132512,6782966883,3921206928,3949826185,1704132867,4721695856,408079869,2039281533,1977151745,410189595,1180828938,1567411480,1850979576,1919325990,588595962,2734955208,2012053176,582100752,4493142576,617522857,869378264,315508081,3244317230,6852605277,4201078041,1892647155,1996453570,4783420146,1391459494,1890254576,1760743688,6346441488,1005657888,135339617,1922485327,5451695888,151055183,861375867,2742881050,40170393,3145320444,1942947744,3842429345,3032143037,1948179840,468638728,133938875,1289695472,58208488,3168140268,1280278854,54278325,4833237290,1552849530,5935341006,723517322,367388028,5864943903,175898948,5095353924,676134244,1103940900,6339638893,1334926064,1735931454,359308275,2369786520,7291163241,702555980,645666896,1240838370,5105796900,2923526388,773867870,428113774,4158066948,4113830480,6749037824,2848083972,6214946640,1082546115,599652316,238569579,452830353,3111787568,589452544,1266753545,435271512,939109510,5414688874,1849328685,1477380760,775573085,1332989886,446128578,360404382,2633028210,710551548,1489027788,969764650,1991454994,4074476320,1510578208,2226733878,4633692392,1945765728,7952258520,1188644448,2753336200,1016908412,893550980,371226402,2385678042,1985794784,2043904737,1486631310,55935584,637006680,863166982,947938010,2035630899,688862730,3541257155,58496789,3678472511,4151660682,3530313160,1639971207,3463676562,1782466174,6003941652,1578907102,2794448952,3051745320,2078713536,3963777204,1406507781,1270172932,543841917,1094247994,702464085,2527931175,2426574174,5461290288,62853159,5367494472,1426153992,873031937,5632111536,7843510168,482695026,5400606222,185205660,756234958,2954508920,1753919469,1283807426,5850219616,4382355951,5807407823,4282090392,1536075317,5068041076,251648719,5292103338,1892124036,4229940790,1204393848,69420066,5593005027,3424071945,4690551095,433028695,1948866563,109186300,1710460500,1202206962,1963136456,5251209144,364052832,823048752,930114814,993981906,159220851,2557865736,313014552,3507862038,208898622,59593638,4575865086,1072540436,7583985612,557135856,3103822304,583107732,1320414852,1165216340,4485843510,665176779,2355569142,6812963208,7731955962,6146258256,643474717,1947484514,2605511688,2485926289,1582057864,547481058,6934211830,496539738,1568084154,2519814294,1011463210,8515327635,1180362756,3502358310,2709196285,790680048,6588618786,2025221450,5614467896,6483059233,2066747949,597601280,393400014,57173805,3366099928,235979546,593588471,380482476,690272863,3452887878,940084464,899544756,5402897136,3415178137,490428512,3050662500,2378957385,285758197,5226369848,1421854500,779816297,3054443432,7880249313,2581679312,3687017544,2960238344,1963259648,4800504665,1298268764,678172438,837132688,282273831,2705687785,5416443712,2200262595,3283239080,547966728,535911704,4000862124,2691680544,102373754,728291423,696299503,5230844143,1481973654,554933265,1303284180,703627734,1158071876,1318137006,3609731340,5879591910,554484100,789210891,4567913358,1738360814,1301665470,2709341301,624274932,3562715884,2804224980,7145133376,4973514642,5053098344,1229458914,8915831172,6692075271,1460498040,238369363,4817280482,765624225,3661742770,1137768812,583447616,453925833,987699286,2571688294,1863237812,7021992051,344135700,142003689,19811230,2005098335,2187338488,1613700364,2532318054,519804520,5895694125,2365399710,1187262734,432230071,8072704953,962206432,2853203682,4831626966,700634661,2826619236,3071950885,939413118,6187850774,3758388809,3127077444,1607550964,2882040597,1927325225,1821348900,934745364,4728454824,4844802255,248127714,91651136,854503564,2899565310,4742835755,4317855426,1901315673,3621917120,2476291743,3276976630,2358944728,5346929052,813203346,4609163776,186693092,1940156380,6678185479,8176673754,5354638604,560389138,2513735472,227250800,6748453124,1303600497,608881635,91696932,4811323416,1578701397,1438710168,1463099680,1412214564,3086988846,768622939,8023710861,4393467865,852423072,8720755686,4530097422,57733044,1113447590,403083012,1941005829,2727489117,2740950095,1622916318,1253298072,3609594618,4462159015,5984243895,4094349882,4764799096,4715071410,3303026802,258886768,2699410929,2007516405,594928215,3999164688,65143958,527555291,338666356,435904818,20706624,2883687100,1127529375,1786112644,1805169300,1054553772,266703348,874854760,4084384296,308953272,365254492,471070998,106544388,5422205322,974577007,3869523056,1960877277,5326017739,821960586,3746687755,1349009140,1999361772,462198264,7993255808,1921396936,6967101386,3605788431,3251336505,668618972,1714768586,48959638,356187409,1867428032,144370399,867642454,1523496524,1706834637,1882574748,2807879985,1832351580,7458347520,1570493192,3904527144,36950420,5760587808,5676135651,369022423,3812863845,874890717,87400986,2370698696,85243604,2878509606,76751108,2527365495,1022287788,142176968,343392336,3475039266,9082974,8124151356,766474710,165690336,2786489660,1716209974,1705342640,3189100110,971744286,5038089966,240429696,1006170848,86163220,2632557410,70457008,2760256793,607971885,1178247068,970211410,1380365892,6901497,477783192,2233695522,3022662456,3546052800,3171744484,990429024,120511958,1062179769,2274862794,1799578616,6500048226,6973409856,4946252040,215896863,36447117,2638863174,6575166632,451196858,3888186876,396145033,3303636189,4294219608,866927304,2283485616,2276709624,322416580,5042605014,7280085654,5234217702,734893806,1034108355,79463435,902423514,2704876935,5188328400,5949413148,618468566,2873136600,5024589282,631805905,4335716808,2411032355,3451751584,6548478504,836745123,289884126,411381355,2497524750,6020882379,7737517192,2970233584,226740108,2818649510,1083065604,76562622,317351128,1672259424,6531444549,3818388996,2234584104,1614602591,427849550,3091650548,3341690968,2854508559,1052310466,1397243260,6758511312,2936156328,1158815280,5804176332,2561259824,1254946332,2141061744,1479906162,4905952855,1704012432,2504440392,4734274840,4055174648,2283214164,301148829,1023565914,390449513,1636442646,1221476574,5477457538,5111678064,5525365653,6437266088,3336292806,2563093596,4079814260,519160612,7502781016,2927003745,4941038704,1191181020,3703821055,1858115820,985650557,1075770340,2867997370,1334683998,7285361481,1362441879,6861670875,3526802883,876757210,3514747328,717153084,3900218544,635080251,1623915204,4658111915,2678022828,1557937860,1274851998,1962853653,4076429056,1645959231,1233041284,2763666378,1078026046,8691653808,5747303406,4510907778,627259280,2681187677,5831653037,74145303,1434816812,4958485300,2561762,3329574828,4926134007,1664871252,99381594,5113263526,1770056712,1324442718,71926947,1882438250,1237169583,764464422,4633308144,537659953,2353055248,976002218,3038522178,4654186832,2049681636,1183013385,841375829,1762498984,1643665020,4594028313,5788544952,1768068774,6269276335,3563531310,7567440280,1605802684,5437820436,5362157622,2540475938,2744342502,77164632,1783918392,875835733,263523900,632492051,2556530403,4894022112,2151774162,2634210756,386582189,284320232,3694084288,3713330336,2382271608,6638665016,114706228,2108190114,11826708,359649650,4817823345,76416860,7469818648,3208047773,1351828880,2086037065,4118609400,2978675896,1044822415,1211580880,1872917940,8008962102,3711672792,404110996,268188366,3540173382,1742186176,2433322255,2413866120,6041898009,1362035500,1221495104,3425827764,896977242,3550692030,4167485848,2850395124,3596209230,189347498,879892954,1870349924,1233216140,64877121,918273228,2335320750,907232282,1316735313,568706515,443861775,1537116114,5144474004,102709176,693915483,2069253906,294868824,3104917556,1691800956,2122217312,634251390,1934367064,792955353,4840935920,900655518,4268339955,504290777,3448027028,2224536725,3795898688,890344655,721847106,1187478858,323716444,3312004045,1513493676,2141217330,3079699835,107040273,787358890,2336171175,1354548480,923825140,4981447755,363258386,1686571350,1501087485,4923967008,1295378725,844099071,2164783229,4700734128,3544717265,323819872,51631654,2917273345,4357713564,7648184133,683403348,744318588,118845946,3995821604,13533465,5883975234,4806792396,1113113218,730063607,360094230,1438049900,2725330870,929073311,5289024852,4302290418,4018073100,2969556572,1099564872,2021190052,1930636848,8136844569,852504861,6742216233,5740139478,2850902840,3884038704,490165911,4064806128,1661235525,1592836632,2346522220,1367600418,720067977,3970442070,5950218276,7935397008,569665548,1409254622,1180000364,7978435424,425704408,1716680014,3176598136,8267401566,4386494693,160244757,1111557036,3017268048,932438530,244332350,1481048060,3202258740,363136762,1753802842,536497465,384652877,5322838536,2926738840,707594755,6665279634,3525343428,2826847842,2961326628,2847997917,6290793698,6322415988,2932705040,711338705,226491956,3777786268,4680159526,751284930,786940377,3787076489,1779307204,7957357384,88533520,1590709086,2590464012,2773708065,2619513710,726157810,1225768184,1850131143,159183826,6204674847,5853438297,4215561126,1324238342,851393660,3011315748,5970650964,3525573768,498858298,1622105973,10323414,2263083567,513632362,4412060815,590859216,3275653925,1445097120,1683346775,1764032242,5531610078,617485743,2891365317,3095373985,1568902743,3460613859,6769666422,1243898608,3250500858,2117041902,4787773145,158009480,1466585424,2861957124,86048442,8068769271,4282835284,103677824,385765656,865127030,887830052,4224431875,4396069944,1894232739,1990367382,8657736885,2043960264,7872631128,2103988656,839629436,3710965239,7980401664,2423429988,729080818,5751444384,5037528084,1807676552,1664216904,973547876,1076119424,50233470,972077704,980681633,523974655,965416808,1412763417,8169185943,1775187113,2372672000,508980918,18782832,6207457950,2447573336,5789463345,102142923,2230612221,2874440212,2872062060,587190838,5858006697,5063238362,1580559112,4575330205,612688951,1647546088,815456787,67156903,917273601,791782395,1825555005,2510723408,1759334108,3598976421,802114177,6610777614,1437670188,1316068212,472347440,4125441195,2268733194,28654096,3207868264,1957127308,783692824,1706836734,4527937080,240834390,767780915,873430180,99166545,565506599,430709904,2836486509,8501200155,2626020600,4094100635,75343059,1170149408,2930524044,1343716668,2052104697,4697051715,2658162246,1361451728,2254251912,1469623308,4046140784,854108792,1043069022,775210072,200196266,2856158488,1097463736,896713657,4728166608,6965175483,1356884120,989347077,1127281512,4076329686,3114655745,510292434,1378828927,1554473746,672327138,1678825360,190552005,644559363,4813439472,505197454,778051359,809770768,4311320925,5194191667,3375711260,3279357032,4385313080,2238193628,3115842057,3040389624,6546519980,3677168529,1874504064,5405502138,1539393975,361121054,6692680631,431308755,3337712757,281324276,5956563306,4645746475,1407463212,549031101,7710816870,1626339106,4795109640,2406112900,1072620243,5070719880,1518923296,3073490212,444031022,3674165416,3500261760,1816438200,963068169,134357344,458366354,3526257035,6353219229,4226797284,1051307712,2933599002,1337887876,3606986675,460099033,1842664020,3645109782,5320162440,1236982160,1916796784,416526172,2440724946,5659322898,2813346290,6144020325,175216772,4979702406,2001697224,1261100376,2771573742,913129296,3203081861,1362511368,7329486069,584259335,1217492896,7795337224,1351593336,7146531801,2961390051,2932187664,3946111252,8891791470,1674840200,6643172637,3941544628,643197968,4063159280,2665481455,904719775,1738084818,1314334476,1648938021,4852740000,7358945128,1454011198,131636590,7026202053,248286652,1734987678,2411366728,2394347394,5619828800,5118783624,405831234,1305059408,3713949981,447298359,2509620714,6465227904,3420739728,7770612582,849605406,5918933792,997145979,120242636,435546498,1564636836,5012581232,2066985852,2376048020,1521309720,857183354,1590771110,2638479400,1772520320,782900308,3460996556,1117326594,1975541667,107699066,3888706448,2271072905,3291602830,737753028,735914905,4303339200,159922932,2779361433,2254072394,686416432,707451016,6633128920,863529634,283504512,5098598008,444471810,779081740,1096918518,164473928,3962935490,6348587623,31343319,5773602231,670481034,650308215,4513639774,125405632,2917769040,6308453851,902032200,1846790939,3635894880,3118051330,799502221,4864435790,654875560,3937143584,7464076749,434996782,307055545,1018388276,4672410906,398960769,4468492650,5821945566,6646544667,1987860186,1943544556,3551039396,863927456,2111857874,3999725550,1644643488,223960980,2884895464,5477491152,4349659518,8841222099,1438815156,8843196861,2617274976,193986429,768858206,1949884928,2122212924,4765521656,4081667891,3908428572,739022577,166959447,2796024978,845269164,204044832,306617736,4299844101,1701864650,1165031434,417654590,1860477420,1046012574,1810268526,185338920,308850170,4935193445,8117450703,4532400656,1161195178,7735317669,1144621360,6499742613,3512209032,2648169084,3921520824,1686140772,5035341780,1285208080,2098786284,3084822480,1887102352,33778671,483054656,1756916870,3426829944,5040392355,3712927548,290141665,302352630,908466342,201298104,2283316200,3418318308,835040728,4547754090,29000235,630526300,1364490572,6424647848,471802504,420216852,128699896,2539900692,526406364,1409286904,2777731674,942304784,2937190544,85156125,1122590692,260440185,385456222,5832349280,3594799173,201335808,4522931161,6945644160,1397017818,3402159363,595236146,530391780,4266768848,3764641550,828319418,365073290,1064873068,3434879028,2599124620,1093999606,2860620786,1612364660,502573968,428746623,605746142,3025535135,2410394988,7175663496,4197637758,1223991028,2497913180,3767156120,923518314,5274831440,4242424325,2259819261,20025576,1029878284,7530496304,5611453896,142695675,3492867537,315138250,1239568596,1532041693,2147152131,1516873752,5225550246,3771731070,1087259700,418804207,291642445,739428806,3541611752,1031570290,1335655424,113409751,64234443,145776138,3150859488,1125341616,826335474,1976442312,3955378566,211681855,3245190096,1768190982,2856610498,4849561375,923826520,4939757298,236024124,6676460800,2930497132,47265258,1579737684,2850910564,2709661326,5348793006,5356090926,1310943285,295914140,69474069,146111655,1061460396,274413529,1043990206,349690240,7677793440,4306494840,6140927502,1946232470,1978157138,1319014368,5704117202,568244715,5431372604,931951388,293496164,636064102,1453436672,4619031704,1806825520,5785112838,955349958,5022231816,628147607,4797208755,630863676,1290884076,1783752630,3004009128,2571712300,5850846848,5651627844,4924008894,7917921736,3349103296,6870028263,683806520,1085572986,1576624348,562096347,395372484,4271525676,3609243672,319707387,1059637671,4353058446,505681494,142223444,1874858166,879128465,83614760,3090671512,4418541624,4848842472,1181071059,277812654,954318782,2170000275,2685752356,2103363501,652815588,6681969336,208804600,2170396616,8612595639,2621259048,1992137845,1381031076,938475992,156185439,3496613743,5087857616,4667837195,6593789517,889992293,1959528424,1802240652,2882365276,2241087268,2623629484,1737195060,2980782825,4650049701,1856137108,304398413,1260957200,2928325250,35732736,34829980,3590061132,1410920514,6841700880,1375584905,2899196466,1370645922,1751355216,3696463206,1414795984,1907725888,1705079566,4036551498,572786375,846616386,2415141520,35708072,955762544,395178297,1707786420,3342100796,455682358,760204410,211955110,1125227700,7353931136,1304384064,821656050,2720807432,5336970176,140753805,2389688352,7525252611,2452567495,4565862408,691423845,1950403189,7350386576,3720819490,1620560808,1527924330,6123242594,2909161188,797437836,562043486,519976770,780903365,6535843503,1834075364,641866788,1638628281,4129959468,1395275596,4299067944,55861746,2719941588,1508632980,4843353365,5789008064,2545937064,1352822124,1167198868,4623263982,1678919530,4846665054,5772137772,5864258520,961908164,1033090225,1935728040,4558692135,1934495876,1847380701,5872925730,792595615,7711219,607585302,5230981350,326638752,3417405690,805259538,2355420462,3221025208,4301424948,3124134932,3686798580,4608042648,512011452,3347235088,328089684,842759044,61533275,253726246,88063446,633924090,5612251816,1388947436,255582963,659688256,75090556,3016136766,303962439,2890742052,5416417748,4972331210,79589676,6141956886,111527210,2000426722,813908912,367394666,5079969504,1634086040,794244266,508184964,7431798656,6989706045,3996409340,2806002066,1144206960,2669420960,2611863570,255650064,2531211885,4786363632,8140213953,3898817070,1026649323,2461180812,1086678590,6438254202,4373197717,5737210929,2569838889,3200770461,613714395,1355546388,2706093843,2806388068,1281085443,2617282204,2020850757,282264980,4442831105,5765974266,7743783015,1144359106,1084569147,6499198404,474951712,4089045215,1822796000,4958404998,5055559119,4449949295,490690599,487492072,753160048,2334890136,2550712434,7572847000,4980705597,257347581,4447373776,1359783795,5836400255,3968259672,1032112592,1361721483,2990268930,2958494742,2192659154,3387872117,2471633456,6298758494,1919071737,6270590106,6766866820,409819762,3661657004,4393970240,4516677575,263473581,906488560,4895901054,1621193440,1971935500,1471822275,3248388604,4527022092,4961879316,6697302178,1529161380,4801303975,286703666,2391880760,287825370,6944310036,648163553,1742334184,7955706248,7822955097,1137803250,3088301032,4106634696,5899328550,1349874447,4788236358,4665058986,993421142,309857720,661151156,6803198738,628398184,3625062147,644978531,354123279,795356420,2020096128,1096137290,250443126,4582202775,515150559,2818411152,8716356,6722351671,280287800,7182426330,2367579726,16498161,2390280744,164736027,2033534696,790082839,5247137556,1576454682,176845656,1627641008,5181488874,462770175,6601614928,1446424000,822169225,1694508212,4496969615,206362880,1457005662,3780003436,1403539988,857417910,1055600444,2363718519,872982010,1488568020,3642910780,4235741248,971826414,1498740138,297579042,8950361319,112883169,6627882816,146008410,3758935275,3266774379,4785948325,1032993864,1933419873,2565072324,145308238,502140364,1158682735,2335250952,3558867004,3909264688,7759736024,6007508120,2287209430,2472926640,337735041,2072315640,1054558052,1751845760,1508758648,1647167612,1695297618,6339127576,796859278,5248069926,3351258946,6325476472,1527500024,1871036844,1729081293,3171288304,3332888658,433802930,391127072,4949705466,1946125440,2414427855,4067375472,1468561998,1185566855,1544117048,755264326,2934254841,732647016,5317699200,1380403246,749253884,60577464,397620182,5909610064,24769620,1334175752,2247940821,2598077070,489378225,29417383,670134327,1963738420,4717396512,1050964047,32670571,2049031320,397161386,2683178910,7655132256,109403349,3955061140,5759250245,2170158036,746558478,410857720,6918509983,573994197,259563590,6252779344,2138653482,1799236348,584937512,3726417828,1737053088,2756425032,803894349,302858632,5987446536,318939568,665247188,1811218521,348774228,300500269,4532359653,86233050,907566457,323674319,4694329110,2949633610,5715091550,167614312,4335749810,2587098972,3349409098,2722327915,1854181092,5222444220,2220382749,1013840679,696395694,4295242080,282480366,205947135,4283041588,1126230444,2198389632,4457874519,400207278,3133657800,459383054,1738058196,5149294182,2583609354,6091189671,8501208273,5478028578,6477293583,1197775852,4359993325,409827712,4730032560,253922889,2515274040,2907464850,1678853133,5627471983,2880143945,5255168800,1606206848,425118297,4035658896,583748784,1884861440,3167907354,1479932532,2931627678,1275740462,7974516928,972887262,3433659618,250036327,392040436,3363488990,1082314860,679610715,1922102987,4081966788,1079309014,118013580,3742851580,841552458,3963992706,1865358726,6682561245,62710980,7336908672,1497686308,537371275,4985984952,430838753,1923223864,440161295,288935988,8902297998,2055391530,1915226740,2527187946,46851584,2791662220,2275985367,5976652088,4148956805,2030223351,496447622,4366246490,1543571919,766372735,481393717,8740256094,1978682650,1133733740,3801612512,1261018848,7812795080,1956644715,1675011408,3486028620,4753951338,2593229601,362288620,2464620720,2460323349,495881863,1245772178,2222596735,2218431420,8999549010,887815904,219841232,1530624504,725326018,1621542159,4855129425,750949981,528395190,2944335576,2837302200,464175750,4278627048,419602096,1119146148,3710838410,2037751203,1289530056,191711220,472087936,716203715,1543278894,8039227995,372362928,4739392644,166900566,3737863150,2124947046,1088813475,5602003862,1577300040,395530774,7819815952,4906092726,1620211550,5586525903,379446372,6995368287,8224571313,3477317145,5272884883,2221944296,559800,1728903660,759543294,1483358772,3870212598,6994080752,542933203,104590310,4140888995,7641843952,1925160132,1239032176,2780154864,1765617195,4502852760,4370121081,1939819038,1176169956,235981827,38261393,4153717232,995778154,6103992654,2685231048,904986334,388214833,2294566960,8907663006,3401969250,2026506978,2020363416,2156122665,5356042699,252226794,6476901109,3023514936,3053569905,3500780000,2286741584,3975816591,1065988482,1968828676,705040880,1837944050,772026886,842858818,509360208,3038175225,4263518985,1485619086,4837127785,4596888656,5988385018,1043514455,1772073294,1251651204,4307383735,2106511812,7203163872,710296311,949581438,59115554,1799490672,1926145570,7279268652,4359946860,6113563008,237270120,6061943958,5217431160,1127889480,386592877,3501439374,601706516,578665652,437026350,1604073492,2754274428,2622429984,7726815990,1075580976,3538621968,4450644470,2510857124,4434437160,4841476836,1307322249,915651576,1297005328,4321585600,451287162,366195510,2552154534,3267966144,3322667727,354709937,4106834748,2991003564,3894288258,3059321380,102505239,1179399750,302186259,2113145160,807392169,5177003880,289187045,932748680,5850704744,4277106234,891098296,3275452460,2231609121,3445405432,1331005840,1254248433,1921371105,6277908840,769031140,883597128,1764638640,386962914,100500948,1838535940,1263294542,274300690,3461480240,28307338,1453855964,2742435524,3624693576,3835554152,70765515,366855897,4272114715,4751581515,746806352,2634898998,227054910,6063078808,3764095736,1660511440,2146389952,1231062624,4148984406,411522327,4954656091,1081610934,1511667308,5369231691,6387971562,1469510721,1138440447,312400443,874776952,3357365136,3212660848,3038291800,613034073,6125007602,1534813548,18737214,5082921234,1370159046,7061357628,3950842392,4144404222,669845112,6275861501,1243112478,2494570839,2561685258,1847152968,396943326,664812076,1067135195,1069847512,3120741492,567213618,3361818675,2223662025,662363464,776136942,600116006,341789088,2447114984,3575722464,302780280,1275015096,7956815319,1094479624,1543845644,2363402094,470724042,157115880,1116138930,520881592,8301972150,1755527547,5676881625,1885430274,3298902630,4625891576,423337486,1442412408,947653324,2369131865,280922949,6425326,2942125002,1667558487,1098682317,3939056973,3248108166,437433870,265479081,3012290708,1622076676,2669410926,5900821200,4473172360,5566874929,2283003996,590718793,200823245,541970397,688141872,755961985,654650104,945866288,4586783971,4713853105,7277266352,387708024,149122659,6852246840,3534203604,1848898935,137017972,4084269686,801693092,2309067099,2497569729,1189703242,1747264200,1815997416,4079322832,2517226875,807678339,4807027425,745446933,10538423,6431368640,3163960534,3529063188,3131478280,3728803285,3968971824,2456469210,3724799610,588372336,586820556,2448750224,3028297510,701001294,2252325061,4147991211,106127916,66755118,1323088498,604550190,234364126,607732498,7619975991,5278533939,839677888,5375729793,558772050,1793534752,641788688,974390832,428127771,591294015,6218194644,2592224736,2922328152,6288823919,6944708820,464749179,1034386065,5163682932,180668240,3157525784,677944176,5831143692,1318297956,5531452766,2112929067,966250214,197747341,147855708,3459269580,913453166,364014478,325499108,845371884,4246541840,786067592,5502223314,583593641,1058356376,7977540114,1377235592,3204338640,2748137308,4592344120,1489039812,675437257,4900037304,2863555016,1113466842,4750243505,326753308,589666670,1009473084,2843496720,5262686676,8350826967,937299028,3854243152,501289985,675514968,1648309446,6142078881,3557762905,3282946488,3030682304,5185959640,5060266912,1766543836,462885764,1775080008,3524648897,6518845396,4225856230,295791670,3932052936,474007152,249857344,1214476396,7435605159,6240744232,695691128,946586260,1918686092,257864262,5023608807,1986418840,3165626535,3113545088,7565897520,2221775345,290260824,5671882539,471126768,906947541,1606844466,4506954515,1003698768,8897749902,2282698221,7515000184,1527463764,2859378156,728277692,7712979320,2390981010,8132629806,871050934,332268975,2758069040,3152293200,957711584,83230701,2827141910,3408103880,3481396050,1663601562,2315466030,3771617440,2419024200,4248446598,537301915,56230173,4516971490,87856832,350454891,1143084410,2120410192,1738839060,3520650018,846662894,755537060,149760864,2716537930,1985792604,1139374650,5212563336,2979580860,770789698,3295765905,1770792609,1490890336,3526647528,5413618320,2870960835,1260009576,6879239577,3314755060,689813688,183069525,3931169924,2797560063,1435768818,2220824530,1651217553,1420776765,5321708022,389468592,3944391272,1738348779,4813931274,1168518848,212910496,5913587211,5692665678,723142356,2600433820,430041248,4767308778,758637090,102456659,1274589462,1989546600,1335684340,1547105915,1504734965,1038440154,720190832,3516389992,731790750,1709837936,7612386372,5677200576,4677328845,8647624476,1613667510,578928903,3250776696,1107153124,527699548,687183588,4003925954,1621969832,466414313,1496444018,4401347184,803642307,626159320,1726993446,4304699680,914116528,637419347,766748774,499346306,791519964,6334757440,998768078,2376494721,606685698,1344038570,1058420766,811548374,769335828,5472842160,1537916328,5010061032,394452128,1851114770,487729618,3491432630,1785677592,247302484,3872649570,8134707537,2392048599,2961518875,139242445,663791798,967230005,2240456144,5629930600,186058439,4307066172,3228398016,3460743066,122829106,2918558448,2383266210,4400831915,3229129656,393860416,1797717618,1490342307,550588149,328062836,1076941568,2504720382,5524430622,374804058,4420159130,693433256,1121472066,1519294408,1782414270,620207504,4271616325,1266171896,1457072070,2795588700,2152435760,899620162,5147089506,3952954770,2779998420,1935871516,978488034,1610578470,1399302486,76306741,2321643736,1857547178,2658793122,5528539877,1153381892,4044019301,2804724348,5977134608,1551524964,213388618,3551368620,103305877,576045566,2061473856,3847475495,942876882,121221822,4481585865,5681579673,685367416,1184762256,2916477900,3851004768,2526477024,4841410404,2252391940,3429299470,4957091448,5538581595,1755251236,4135871907,1290968918,6325034454,6968777578,3960790144,3791551248,6571984048,1784343868,332368403,7261430848,3403061226,271209930,2850624316,786514298,1566613908,4287027432,1570715704,7684316960,518044360,2995542972,8720121249,5812305779,4622481024,3493081560,2250384368,5900791190,294332502,1745436044,2367444537,227010767,1636135632,1350403975,1192226692,549664545,3163284408,4266774800,3398426532,3051298015,80294920,828958056,6287366365,3106166668,1314638675,4816120325,767374796,1709897142,2059561308,2336706819,1113033576,922035424,1000116348,3852034420,623327427,1614898971,771893660,430917683,5272414572,1113202800,601077932,1707196244,1392013145,1803595056,2683153100,323401616,355297176,379951510,563850768,3933508040,5981227440,322583757,981308487,186470648,1162299175,432469761,1865806476,419869330,3974547360,150861275,2609431161,4385767550,1329479764,1568138433,989959353,4594032625,1196247807,2599737843,2649856760,1003433574,6026210289,5107504496,4172603192,544806736,172628534,3684448500,1489825328,7125312944,1698543402,970695239,7926935868,2672072904,409143323,8165333241,2382629784,246430798,34776012,5086421154,681184544,3321472336,3063970384,5185626378,3654675162,540049584,3195196542,697267890,81998235,1172632466,711225860,2438129904,8146711188,1074091868,4633325935,4955556905,782502222,6909500,3946287216,830802656,1610492970,1744138094,1719065362,302453220,2498951684,1612450248,2723462646,2555214456,2732079931,8631556920,5113261800,1018083111,93955980,2878986258,3769894444,1694181839,5959349456,24582591,546295425,671862192,1947692790,3789367743,720907657,6879312839,3135215160,1767677046,5530866480,6924449358,4735118024,3258165710,1465069750,5309090847,2005124256,5421695436,7530390,4051613799,1765995522,1276537686,601560064,712696975,7854382296,148933044,2184804378,5291339052,3686996632,370706528,1530633382,2009609665,5896197960,7964620911,843979712,2675169644,3035351328,200199128,1073687010,1920195232,121331572,4583409741,6049610176,2613884955,6207655699,2298766799,4037484342,6398699481,301557160,928961850,1535422740,5409118561,3966445788,485474261,1909216998,6392011608,791180190,742112463,3900148615,4053823368,635964528,314678622,4951798915,2044024788,1966725965,450273342,5467903785,2712262422,3333342490,1544388502,175423319,5140089592,7654957472,1483222302,5855087466,2744183395,2678075420,3805566,45751067,4908471001,479401262,3534690044,3420346818,1554633840,3268136700,6304520726,889673844,1943552810,2232440615,1691248158,7112795175,2351855718,5327316873,4800229875,8527231116,4513992918,658101542,2960577168,994981784,6712651008,3519768000,2469555535,3164870910,6088963437,1497242972,1709821604,5504471766,4463575165,5086462422,6386986158,1021389476,1508161296,817732920,4247414768,5383015568,757850998,5608601840,314049456,6254848872,7339168648,1227294170,246738744,375313501,2130680694,2222724171,79371805,1849411708,6277740742,969220105,3101003775,1660367169,4493399064,931360976,3104006768,1591132446,4982191361,606856770,610922144,3937462184,332291343,4073534690,7552607508,1211780769,2733652892,7531812168,3473718056,4862957265,3579066288,6294769480,1962011585,2516082768,6287468680,2169071766,8174404242,754916007,1918628846,3393805824,784439608,2909041580,1592080146,5289719589,554396521,3410194809,589080331,3222872040,1982637225,84278186,2360036640,2004194466,128640827,2802377260,1926773490,1372684535,1891193943,541650360,240597312,3270113168,5518599150,1575217420,3240820648,1638844988,97961388,464851733,743627508,1459702338,7123910200,214030664,6533072098,4159838502,677897103,827486354,2467934865,324157572,1554211496,2642893101,3785574184,661620957,4619968020,254724950,6941608219,23723484,382412306,2220948906,4722568656,1340058684,5853799084,4270555150,266388536,3906729063,3457676649,1595564696,4052622312,2884749684,445028043,1738823343,1497251606,424442714,4087053114,295079742,2731137264,1925953152,1546043616,1179750215,5233941840,2859325684,2433938044,1895168144,719744959,3069933552,252660501,1406151369,3314553633,5644496298,6431935629,6452437743,2825754830,2136068516,1414055811,4226106051,914208094,906864286,788051073,2476907180,758231337,3651164559,1146349734,3569601564,1166896696,689918280,3492686869,314432004,346537076,1281073646,5173582862,3304206441,5507104887,2303921943,1948876002,2622031662,2261684079,183255730,1319754318,5619929329,6382368664,893574246,1270692586,3554992050,1777335078,2722420839,4318474980,3524445805,442564585,607943056,721770519,1059790444,1434931845,408919502,1973531315,41087320,1401431724,95104084,8529898896,4341875153,3839475736,869352892,5425416360,3801438552,6876621306,384847307,1463274712,505702500,2123635464,1956774588,2999144030,4744713220,509687068,2904735675,4664593528,351032090,610559660,376120525,594827120,1086331052,2665506798,1471319970,2586897636,5218567456,3600886804,482848123,1677896988,996771683,272548845,6873654285,2329239260,6158284632,2716321307,2501456958,648298400,1403887448,563895160,1705807704,1433859415,972844172,845105425,127241590,632957748,1102982972,3645932200,1092651728,4723139880,4261848488,7498090206,74166804,2516525970,3796780460,210890454,4222396104,1622998557,3363373740,7418482686,2722661154,1139786288,4993356067,5776096710,3410757684,1384820498,2350751961,4182461127,1411986956,4460874450,1998143612,6230532259,2102634396,4287338524,1390641726,853193676,1859460572,1424370870,3887057524,332622165,3916729425,1283059467,2015153355,1371706396,2335082585,1917604696,1699201224,4603455085,299166109,5206716235,168934446,1703577897,321997331,4363461966,264374108,1465847152,6492278989,2135650440,658950742,8491509684,5199707576,3011184174,8720471088,82116840,5854038624,510539034,5963220011,3847658504,3657411189,185443396,47645995,4983583041,226088329,1490762380,2286099534,1066561749,5152995828,4487693913,2521722612,978393962,1690596927,5072455440,1272123568,767428788,3728756592,745222734,4157258504,3987550638,1396381066,206372344,1097488710,8875939347,75753344,557075360,2135005614,6940592974,136636428,11425960,825573306,3603894846,4180197402,3394731880,6332298507,870229618,28660293,4310846410,3799613952,2068631040,3223569344,4007486196,3543675284,1291182404,2503479996,434325632,4274232750,2414250872,2938870998,874867078,5875739432,2494469520,906998007,3119969468,1924693047,1645741736,40070858,3673423145,927754740,6015115288,5750384592,4347906024,1920268620,4772048955,1407316731,26486441,4206687075,1255805296,4252507875,2409899320,3303415456,1836763518,2510187768,599787468,6183088659,3055535328,5708267312,8709079095,902918555,6963122817,747211224,2174532185,1346046336,6717702416,775347068,5605334838,412919120,2707969428,1194345978,225132922,4690415166,2477686851,5619178278,2548234686,3178311264,68381410,1511590890,2908569208,1689079240,2447285248,1422380480,5484780018,3857810672,769771818,6778553238,1740603441,699577800,886789965,1436001693,3491233686,1323518109,1267607700,1807399965,5498470665,2465815248,1931110900,2772141444,1368887360,3815672510,279477430,1207552380,515515284,2826265689,4974873216,975211236,3943924733,3224147724,4184056226,4351806697,2896971820,1608291186,2599603632,4079826051,8066419074,74473902,2360127775,597975690,6373211684,2043529104,5379294112,593700522,535147216,824852774,2035247455,2304938965,6854202666,505591435,1126951926,3909368079,1453705890,1711254546,5897367140,4981804565,5309552576,899758216,6584118624,4027502680,4277352355,1755362206,452038547,930838133,2354138802,2474028855,453967216,8645150421,706357044,742784040,7810105120,2495386692,567801939,2729669600,1445302755,1666030248,1981787199,5587513864,5855992884,2469259040,565576506,4009055264,1820198844,1735208508,1428463944,1045741354,5667842390,5987676504,3299948376,2055843260,4349157714,62413410,2700356946,4133382675,1613195212,5177335026,6660590321,380642040,940977975,2461704234,3668032576,2920720260,2177330046,489130323,5258955888,3466156890,1723183920,4953523257,5002805192,210871618,2864374472,434979540,1892107320,72169821,597636586,2721773957,4027455672,267310834,8294463288,8257549311,4940640925,6338633441,5404898061,4817445300,5962263370,142716618,532615862,3918533956,18448968,6479040784,590533110,881486991,1193366212,2217512750,676867662,3912860680,1994561066,4297984672,571855019,1762835016,2460525174,2536610646,157997884,57318441,2378415276,527489474,148342076,1316543520,3723580328,4902011305,28195244,3619654656,1073841012,1496788866,588128510,3381084480,2221073553,4785150520,480032476,4071108720,1146481452,2204075092,880832678,864963447,674140848,463431304,149445226,1766686218,1365313068,507250010,3409973456,7572571152,2216434128,1578426452,605609724,354975728,6273239360,768660345,921382737,1390466424,6325057197,387804100,2964570574,1885641832,5777199369,5250694446,1967324225,1868114792,2431840004,1899623114,1140332970,1986363868,182592420,768514365,1929793748,2938741692,4491778950,3408189665,3003820575,990751896,4653987768,1881449792,529442625,310048624,132194598,738426306,768764705,472763577,4320445455,1487330585,3065988872,432549482,6752449592,5709736488,4261580580,564967786,1616523324,7382315763,6920813032,4250502492,5455529076,71946936,3738069954,5759106744,2686149387,2212494333,1545598080,2783746955,945797970,249841036,800879566,1708059708,985036034,5832077760,2767093966,2586983067,7606405344,1810018357,6333544539,8028002385,593621516,1998591928,1253240541,637047204,4689360641,2989974960,1478540478,451603920,6695636328,1008145453,1767901020,3990484344,882291174,1116101758,925366694,4160407952,526499388,281700833,74575896,3561506430,4273885452,225002445,403140375,5517162008,605206549,197612361,2121128324,4425265686,1134652728,461537604,38407172,3107508760,4469980,8374117941,118971342,3065046205,1557328872,3984193552,3233409908,2467449078,1576233434,5541670484,950652011,852847974,3224169636,7448881944,328807328,188572601,4043474052,4702550382,3277944600,2706381680,1067063415,520200616,1069591032,967572154,6953750442,788391234,4947248838,4572015093,1647616107,2727609800,4085635602,2631084222,8918841762,513338252,5619983010,5529274485,5305315428,418239115,1614214832,3740698148,853916955,3913045670,6101145208,1926033160,306754177,378130526,55294042,2769807702,3301240720,4112339609,5346553702,4018595982,731319222,935271975,45403740,6929885912,346507096,176415844,1156445706,745954041,1882024394,3202940980,574867800,8353011042,490012012,89378243,100644175,6160462832,2459610099,953559364,2862028257,1624328200,4690444248,4685641888,3942446595,62900295,2129639552,3242532348,1148833777,889899865,2000398197,487703958,807761916,1558598408,5661039545,5713234961,1755183644,3952154295,1497379480,457061596,48320718,2533630264,2966587015,474927516,497609006,2511370563,996291736,3285772148,1742589696,2619384820,1331559536,1538355276,545179083,360121998,916366935,1836349836,2701166499,1248512560,1857142266,7553203074,2801783565,46258552,4049432580,676525138,4829736365,1044944380,4577662257,1002963072,2265657177,435815973,5284705867,3659134493,1173061813,3251028180,2652587328,4623851197,6642326776,3873269068,1733790771,4962489544,3608006654,1313827520,1014404146,703019799,6182635446,27967149,3486202200,1764812168,2717513640,702340420,779134839,7404393016,1987586634,315758105,2096981184,3658179696,2459581950,1692352086,1621061235,36888076,4122026832,2359908560,2763252669,1643392866,7994013228,3960813159,599618763,471912376,239100544,3990850920,4495950508,786526974,973915071,1953447440,3949787667,2458538292,2103976272,904250233,49863156,142297577,3781633782,2331912565,2615604950,640277536,709529139,6044477733,3158669644,2775696768,772739016,7980180104,1561965438,298863576,4460630216,2434129304,6151496946,3600765133,8635808889,1978483419,2125855634,4132830870,16245390,775965307,467152242,760012698,95122492,3438213280,5279148384,1246546441,1163249630,1617787389,1847135760,913012652,1969505094,1981753179,3666644504,1645936796,1702948770,1542620043,1900507992,2219427414,4472780382,1608822496,4137689844,7057185966,2411669936,896529422,7739888056,3963916803,1579238264,6749628907,3094964656,3430450460,856707702,3069801801,7221244311,1622726512,475907746,1762329636,6838866920,254918657,2223531112,2083716008,448430043,3158010366,255288365,507468093,3103799790,1120382910,7868509056,700386564,2706802792,3774149380,137226808,729451405,3374805420,531213784,631472276,854398157,1204394930,121409522,5826296920,77220220,2367402240,501673578,1563628900,7907352320,3264886344,3902417256,3974958512,5650418745,4928833272,1902060752,1856354930,3919058704,2041502536,1271836524,5951532048,2216339895,2242664112,3467507280,2150878924,1214044732,816816348,3554408750,773399002,1188565600,2499930510,3561296925,6116550714,1389599284,646316200,8676940473,8096361876,794227785,5555109312,1824508834,2518395360,2727819537,987123867,2428861976,2900198664,2963937336,1259880714,2427656103,3029277704,1844233042,2395949244,341170432,1333706596,2030251928,202462721,580240424,2402686374,451733583,1022718180,942522366,2974759228,1667972658,825718290,404689163,1409144338,354419630,217996006,1170809853,4599962454,7967440528,7516468161,82147416,4299645656,2356340488,931403514,3730244328,133881176,1994644976,5693678448,4769694963,4526488239,976158684,6888715392,5363040483,3202909456,190709709,1349874400,5138619882,2896822844,4007767384,1557061034,4840937456,532580405,56251701,3149869645,999416387,707061449,2354502423,262693257,667786038,1217372668,1027491125,3684712968,3760127332,646265112,2599610709,7846380378,5454203208,285206985,411817923,3351079809,666313499,3186225,720768360,975096018,2712448401,1698587864,3416238190,5051260392,3032086500,228394426,1815962946,3142354677,634951032,1202099256,7746795207,5852215572,630429475,280366673,594189660,188676423,2118372560,3144642355,4327571565,5001263712,3449724330,1911354142,31940514,2964077612,7375219488,678750432,6745135089,3448284560,172515328,1216489584,2747432513,2730128010,138465078,554074362,1171703696,2189629552,715274360,5414312673,140173300,1256719672,714921656,988428564,256852057,850204398,7198151728,1643953832,7367874075,5434966014,7785093288,6760477374,3669373960,5372238808,2108295728,4620326553,253555850,5490156195,4386636275,281753382,1285034376,1836459978,4603554801,393976146,921003375,8532682992,4779943744,236263872,7593480981,944789923,1136846956,3137873795,208026812,1582932152,1463613562,38445332,1198263024,5631820548,94960460,288136680,5419960315,4671809955,2491670448,339147718,44167091,1277774764,1350864588,4487208110,2327784628,1338866766,5717942584,2193439680,776805711,3775390884,4687399953,418732065,6911518392,1230885994,3454788395,24637788,3070913375,320123664,4397420328,2136670494,557620866,4734471560,486955086,931422895,443244988,933678808,5257791392,1642415460,1291028136,168688796,220607828,1755280296,1398409023,2291801155,1649855160,2337559155,2234270004,1735598600,1902222616,2916368736,124821148,829011154,3393160708,839059656,1553636624,2274179502,2354510088,2545875944,676952890,3262110564,3828785852,4535432424,1693734968,1843023804,6552418817,1765585800,1292313344,8309053926,144456494,4750986149,6674273879,1165447812,6761694438,410437008,520305417,773437467,440405484,626466674,3571581447,1649142614,522773082,391806635,5160729846,651797122,1863836740,8075884995,879816588,2754732500,2869769248,2863982784,3631478604,1557176832,7212838077,758748644,19458936,3899835972,2201834313,1159641516,1330034344,2058877840,1672702864,4319982632,6214740805,539830412,3431280474,989391192,4597046298,6225308112,983196904,3719643036,543430086,914967081,884073631,3084294355,881449518,1549222055,127251040,6230928389,623457582,703542314,4115995821,29952705,1114905708,2973004068,961561505,484066294,990304804,3011616084,5738649944,1302275975,22984360,1809956754,31854088,661337308,1181165222,1039430877,2207058356,869275290,3995920019,278392698,2389836680,1387221864,835702,1564660445,803424627,133759560,3959316660,3182471652,977683282,1292287948,1556025540,3175493216,2099834217,804947778,2373006365,4169644370,728081840,1284613146,7814271488,1960486486,1099808067,365373830,3333014530,4551227065,5818833858,1966328712,747998433,5282402608,4089427680,472170875,4651422330,3733056824,451259360,1396418256,2421959215,360259858,977850368,2556354620,2878874478,1003734522,1011472630,251526459,981052631,3500174910,6657844648,2245271304,4688455548,1433499282,1763710632,871172595,5364134058,1457317360,1732624500,232049451,735392334,2465213195,887268227,2845185320,1279509194,8938394973,1902122226,767931955,4800558690,3891776240,2665671030,1695866312,2432607252,484774475,928283022,3169069600,816167468,3866851716,5648616424,21900732,2064402208,509347876,4696881273,877564833,652830298,5177610464,153247950,487065826,6744279519,1839886590,8191227933,201991695,3676993236,5321636864,291985338,807701934,1840586613,6792362605,268289073,4589379072,1814422156,1064178756,3278572336,3150342936,1342466095,9346644,2608186345,906792995,2399509270,166291268,2011195924,38053970,897904196,3488336184,506010748,2594092100,533019506,1458466200,7892717536,663991065,734214528,1988363312,2245847132,865148493,3097339370,2672034655,6567776256,4503064248,975396643,6352763944,1951590884,1236209744,116118780,5015355903,3330269936,8951397336,1423277580,1768424404,1371439152,159533260,93369283,2076458220,2979727864,5044664604,2213826224,34438304,2560460372,6236112253,2535548,1075377057,2364589008,266456589,364656613,87896470,6062193669,6313389901,4117331550,2615575482,2362308660,854746893,4909830784,58453662,2903980344,5991969900,1312456805,4190484850,1635653739,111533850,7393631240,131710914,983866150,1927102689,1330207416,4543919064,8621338329,599989772,4999888135,1734358068,3446437335,72161088,1125340905,4336855418,101116288,2272186734,442498504,700401015,3792240845,488525667,6925481619,496863309,631742750,4080862602,1584864200,2673848517,746011488,1142533637,442772247,4965394572,651904011,6582404760,403910520,816171522,4824328950,620870466,1388425245,3306713800,2073485865,7242236190,500679855,1800333258,548420766,2891211300,1322762988,1364057716,1703176612,3219491376,1908718085,6264936189,2767347536,1737513588,4691574185,1142125304,1953925904,764245924,1936677624,725938257,3013763235,266256618,3346298272,2428646440,507650346,743632106,503002252,1364778240,1989733215,1002519090,304774080,1544510114,3999979752,2300263506,403714143,969846936,1403552345,508258722,4169427668,4553917669,1307700018,2980995870,965995734,1101429828,4315204725,284285961,255885890,877667335,3858563056,710268118,1367974044,735665362,606042872,496130220,5234615785,3598409772,2343336891,697684920,8196211737,1225017540,3338792622,2729349786,80869939,9649362,86314160,1788307516,590468432,3947143368,4494798096,3877439895,2529717448,2798559180,276862455,8456408307,2624146952,4405100182,1456940502,198439212,1136370390,3608177720,7846637648,3735423768,1164271086,137860620,2535242649,7274531888,4409727520,565051920,1775481054,67846212,3783053050,2200466403,3642922516,215640848,1605927925,8811755100,5462950050,59811891,2209615086,122155445,2040969372,394843673,6979771096,2995453938,6041227272,271494671,119490740,4365746920,2795597907,1453014200,745494388,872389275,137917680,1201126950,2113467300,4502017953,5657699676,1699500327,843262110,534903455,823823742,3171877314,1425896730,3730110336,1364077152,450620625,1789508560,454691553,350036249,213857368,4814443080,1930981720,635811456,7299240432,241891116,339374331,1966936330,2953000296,2463149888,1793066296,7127109216,4650947739,1485752632,888416670,3396560640,3531161232,2344148360,2758880757,3190716045,1011296310,1814271018,1909347384,3711444632,1384359254,770013544,911548200,3498302348,848256255,4821682221,617017746,284480531,2842042792,5842251849,2885861988,1272173472,2319799685,1514602332,2334393453,3574683567,6087492882,2640838305,7815153832,1058391704,4011276155,53634980,352206060,324485331,318521686,943302664,1533077796,960989157,2189472115,1809348856,5137977392,6524567334,445394328,5337754840,2514037463,1206214940,451002774,5593073276,3751073916,2838429378,2971529901,8385295446,3938093586,1386673736,2681332199,2510234154,2912659656,55069256,5884691232,4358543480,4270032487,2636635340,7123435896,4616870880,1969099279,1520850054,3909125935,1264828508,2993954700,4621507506,221936526,1439729978,3358349732,811591848,5715671472,1129885505,4164651112,2957558856,541107630,100833082,4785864496,5394753658,2299889690,2671989276,410071432,2981964858,860700605,4725341202,226027008,627076800,2573846202,2199272466,1580320970,6780430062,80460936,2631153035,5663252178,2167434999,221421612,6570415194,899116432,1018301055,794102865,5660672232,3784248036,1849470516,587738831,773595365,479529652,2306136765,65643856,4066020285,1693875696,2427047944,495514054,831083430,6959143401,3109191507,5627822274,1541929954,550234632,5389159536,1568927955,226794094,7284594312,2451744388,1046020376,4899173632,4830758514,1298480056,77134577,6877433224,242773695,547307292,1549661994,1955747930,3689439312,7406757693,375112160,934230120,6769097797,2398591405,3030666174,1202709854,5879243844,876604158,449534655,1025375710,8380532754,3915558963,4235321316,2135927943,2802086526,3757183400,895789120,902208278,303292591,2620323788,4447638912,411972304,108820524,644126034,758541897,79473822,3690664784,4706283330,1304740296,734488358,1701032202,3392353174,1794429324,356968256,4169672129,1189503287,817728955,4723320348,4399995835,4848864728,1992357136,846034200,583631478,1777884078,1929260944,329231380,3031570822,3338982704,3244677960,3880235180,199488072,1160571806,1224440856,95144500,1758192646,596033216,221404002,1770920391,787363236,556035822,6477152508,733716457,1867564988,2521249824,1989420512,1132200783,16155676,1740906525,3439130930,909672196,213964325,1827328385,1782680768,2340006231,688831431,7037942994,211455428,1483180400,254997784,6606293922,687482505,3387373584,1980656448,6496409097,3715081605,4953428988,4305485520,7624271008,630386329,227191760,2289622384,6991022124,919867176,2789115574,665017772,61164302,2782686456,864391056,1108416184,734256477,1040736556,2786358198,1225862522,2307427797,798338875,137009919,1141956175,12671470,242520545,1118863800,6478783283,4267035954,1800466560,3620566730,3824965628,707418936,5837528028,592580647,1275365470,379762560,1099172352,2150667927,1551363369,2846891817,710344533,4010674416,4671098344,2686983288,6605727821,1813833714,752541270,5130328736,467428653,2090672836,1363350474,61249734,291583496,2388574670,2705068964,1977570445,2884064916,456807952,5308065042,289216890,545180218,1218566608,1922412674,848220484,3640225056,367329042,3756384872,2103382296,2144509790,83418237,6609497211,290025816,2077260353,2367128864,892715180,4042028288,2536870908,1416151470,2286731972,1526557179,95904675,3533631208,1973932912,3397846228,4416427008,2533049572,1720960110,852936328,7496418240,1297919944,928980502,597250262,3760745960,4520951718,565060600,6577743528,34823157,29307505,763968066,599270660,725756202,860021403,1392833146,1520507768,1596926448,441025966,2193413265,6291161976,4089457107,245814301,285080936,2467779976,2119628665,1421531405,4892954080,471956272,1888139004,682552784,3429740902,3249895680,6691721554,4959455775,1810140634,784497846,999147436,5367379779,5100741369,512159037,800449645,6810764544,1542686248,6170227525,2880121352,795244092,596692206,1770858180,4605830175,4755211146,252738552,133622120,2578296042,4857759636,433681261,3680904240,948936906,2971819875,2962274432,1656617708,3073122800,1097024400,1033907487,3397982748,2391002430,1046518256,5247526263,691101509,6987268200,2919763422,795132248,220589760,5917143564,209474587,1435924992,3232293438,2099903752,706471303,479826963,674379990,139260090,2210523378,8447447052,5488012408,131761304,948128380,3826880298,3391657376,1408279140,4698697210,7621139272,2274151327,2972503952,5137536501,110473584,2976081124,1041420384,774247677,6559682175,5677610616,1856937500,1181401808,5304497680,7137463888,5345494962,2791973944,691930710,770433209,347424100,244440339,3673819900,37845001,1520128419,522850575,1851033708,1007571204,4850179890,2930402664,105738410,7379899440,4988830527,595094745,1162827240,960298464,1406176587,651023997,1829925910,2001350223,368713293,123784860,5070834270,1584708990,597806062,2979634928,5805630294,2012496405,3904376454,2177859156,4421653740,5323802414,7464970936,2720737443,1887371962,718451112,1802966926,377374582,94376200,5046739616,605254968,3956590295,1135983446,3494954178,873480861,704523957,2753321442,710416284,1837914468,246793861,1849772058,523701960,141561072,578090958,765919563,600626513,5946704936,1200146816,514777167,1460804660,715912644,2792242090,808561512,609454116,422592128,430179813,411658998,6947471832,1994117556,1371161520,4612597068,87550076,761821592,4079895183,868816202,2542828683,846891700,1648332792,2218286924,1314188340,1702338016,3632551096,2464933644,4064092300,8425466271,856070682,710973024,4996588311,161340703,4655650932,25056508,7100127666,522933980,2431060500,845826862,3528014441,993935736,5280412473,1059614003,3757112298,5655099737,3924870045,6869663874,1868981340,4792870836,287367568,795324344,96065898,497192129,2784855543,1390330996,1576613486,6961401632,2825875752,1040454790,2029077966,1502721168,805985328,98436728,3539931640,401327186,362519860,2141792340,3430601544,848233387,8571930354,2200150505,584964729,1540332536,1934546966,827308915,462952878,1381797360,2648548764,1153964956,974841588,779809032,659971260,2994813092,344861682,3341307410,3276389944,2369393999,842529488,797949922,4258640955,2656958790,458258467,2039691978,418152942,1878977877,3304014822,891811110,1987438468,1131903,1381928781,8048624076,4287790470,166418948,7273036480,1793597390,3284335420,837135920,913599224,951714078,641642838,471808481,666210892,3919823688,3372723360,1423713204,2529454543,1636000802,7547066264,1377905652,2183451960,5624363752,395652266,3689642005,298180599,3666502280,302667528,582724653,1629457452,1376593814,82066896,992778976,1668959118,337959908,1173231016,5618149674,4841044416,4533978240,1346286816,2060861982,912879377,6984518310,1609392996,3808137656,3912357645,279500460,1532394138,934935483,1697395896,703256280,819165520,519834030,365696077,2706173096,5492887920,4153137560,4697521839,1451897364,1854224940,6861699460,4671722290,1198698360,1776813064,629816773,359876033,3582888584,3638704260,40441978,1203556070,4985029710,2089589409,4619943560,378686061,5662022526,781260236,6047474427,102675048,433321986,3581885598,1790434254,3646449205,1223847632,8628729534,659708487,2020695588,937298472,1970245416,3821483012,535258840,137564068,3652883535,1105945180,592129050,1566916942,2275452267,4161285712,4466483182,467266341,869756447,5814185244,61741288,870841266,4669311612,8908191738,291424312,4822840701,2301207727,2697066720,5769955786,5344966089,433780440,1879272054,516363522,111392676,1070387085,773092768,1665941944,3846951565,1904005370,1757043560,4762774401,95302504,2125444395,1682050162,897554512,3045471954,49833098,2297598290,2236647596,5816617954,1728950229,3895052229,2513182005,1742384766,3638210499,763854594,992952945,2107876776,2916481044,1408837866,3313763416,7251872175,916206804,3517791240,145303234,486317270,315835158,2631966987,2256231010,2539165314,2795671902,2103133548,524380734,8998687053,2286536895,3272626568,1841122594,920644536,2805817424,353753759,7786041318,1014757632,3353674440,4307185840,253498593,314442234,6490435728,2808667836,7388093704,272924852,208553472,2343266328,223373044,1853726679,1381310001,275431348,793049592,1612296588,4946516505,3983529267,826759028,7990938972,1407698816,327853602,7957929704,2933003826,1319012328,3288577150,546184958,4008412740,1481215974,1152070200,426210144,1249148040,1620694545,666903287,5236113440,2579578398,1966551888,2362191243,24728912,880413866,422745462,264490416,1711722138,1393933149,6762344562,3392115858,798266093,899609585,2056031712,678608712,1447231020,2108936330,441173538,1953990754,669409639,1707887480,3943744640,1747826432,3451654800,1027621248,4333496405,753005720,329216741,5535119529,8328125637,173924249,1422652650,4793014555,2255415471,1507830604,667912360,4367201775,6977355742,6631353783,4816121541,5895793539,3885212240,3984020840,901453159,2246437557,374873448,1297450912,1095601878,1996820960,3719962158,305501999,976557699,7500084147,4507107390,596551311,2852222148,1041617043,2095143444,546940771,334237967,502548249,4436581072,2617469925,106406625,1668432096,7952001392,5981701692,7363147923,1018135652,1732774804,3937499256,1312368528,1006252788,2508364170,8078707170,4954869475,2862396249,798210126,591968930,433466044,317188170,536993676,1805649855,4574179645,3363737532,1131651644,356495610,1441061658,1804232418,2879428689,973583376,337112646,2547278064,4593107815,168376282,3898434396,3620597166,2082923181,1734432084,550748669,4391432003,3427122056,8480916702,192076788,2267545833,5295970908,3737153819,1504894336,61370127,758062192,1449507260,991237152,287910126,3079119861,265586504,871411428,3388943355,17184038,3948300450,756616372,3784220776,5648825778,22925612,2237384592,5279351283,3040945390,3992359968,6825667016,584694560,1602710795,1764175320,3847111932,1706487177,3836928717,1079925108,2006870652,941174661,1071577510,4831709190,2443334645,2448496208,3057011230,566545368,1473482186,4454271492,504212472,651681002,1958000102,7539597873,1450068224,228041321,621113154,1505051392,2109720765,3615040989,332761113,699491947,76117095,4180554276,1129945662,471567987,3257289416,1514306745,294668362,2497314132,3912442008,563274565,2786012661,1019701830,573779304,6092882145,3083721860,1770366876,5437818738,301530267,764164984,1502164050,5971312848,5553656144,4796009845,3819976446,4112172888,1195770866,6772858127,651933483,540442978,1238846336,183759660,959268657,5368748238,3126324528,2797063362,1121604980,2785000916,799782963,805218080,1471578258,5736040758,869771060,680433076,965398964,1600258464,1165770764,4149715135,84938134,7577320401,207796288,1751883485,2711345628,2216102712,3703890452,169657074,3528816840,2038972923,3771898040,4482939118,4677372798,251290767,563852755,2791865187,6506071488,2998199325,969853754,1016438757,855779778,364492094,2187640254,5660959896,342998945,1091177832,3788504000,762190261,1337442590,6176615858,5511909669,1880726556,8292635604,2142621604,2658227485,307576064,5515397993,1571901759,5682510972,1569045512,2078098236,633631140,8010160137,1306017560,4503638790,390203148,4298277744,2421017226,3440365497,69565210,6495771312,927175656,104899752,763615130,20949698,1228626690,4286822526,1088310350,5175501330,54343020,3120954272,650394612,2261583464,225912968,6593670769,1061483736,1084409406,3452132188,1794281547,5744513096,5066782280,2095488975,2212349265,492777626,465084414,6531310842,6224150121,4414004388,4843556508,4846440568,1771508475,5709003748,129525085,6200987823,351822402,1175709663,772852470,1230400950,2680113828,3160134648,1087714338,1619769374,481550152,3969020835,1658016598,188417388,3430312908,6482090200,1351924248,3757892076,962616833,677660595,485311278,5705546190,1141982108,175510376,150445955,342640768,1686353224,789239430,2698187436,6735020886,946993920,7045264161,934468968,2237598559,1902781864,2102140344,3064932675,2542794060,532774734,3399068104,1871464080,643493194,348690258,6082580296,747842378,5150707583,1960936410,2040120850,822907722,220133754,1145647730,1911013743,1732826277,906146114,284754054,1512838684,3513124056,2392344915,94383735,3180683895,441311463,408170736,996211408,4890229022,1897221336,1878477048,6581413041,2112477168,5003141465,3218303079,7518773240,2933375574,2636342955,5185781797,2585964844,4989990936,2370053944,4224205076,5932780952,1059215940,7602982264,3072522054,1729271830,318328030,2570533120,1049124740,2237852365,4378150520,303910386,57948792,2661754216,5996309802,3705168271,932342725,5842253144,886431761,796827054,3695746220,2741825832,1096007349,3950465460,1430137304,363933514,1844496304,1672699120,1973618142,2186512692,701011688,1568293754,987560419,5832002589,3350580285,889794195,3080792580,2219861530,513704104,8038470069,1614055134,4005959752,4467132635,1531585660,184010940,2178237950,4471676992,1763872545,3881956986,1573480811,596206044,6910558431,1738166705,2834020140,1280068948,7266399872,996742477,2410373418,1007298712,1140297460,1085362870,191905792,8724354741,3038775606,4669909456,1505244240,3598061391,2657938563,78170949,474759036,3585264738,1276123590,333348280,7545668490,3845891015,1119666375,7589656575,2960967069,568223828,3475007710,582664899,2838267512,2746001169,5869401612,2831022120,2565135710,433497010,1038125362,549715752,4907300346,704512965,2381441082,16851404,5497333632,3919693664,3143604606,709481814,2716910739,5897332936,3477903696,2469952864,674811663,4748917900,260932365,3699942603,5763889184,4147660524,2426033742,3177383115,4112143443,666576102,930164641,1077003540,1506499464,129484785,6736896775,3470597712,2248582788,1460330169,6377832888,3040835900,688189305,1483797504,1152314703,1051825212,2224159296,3266589720,3698636454,285298212,1707858000,1710419456,4133113410,3519210174,5268488748,1575122997,1312577799,636924258,6568372776,5482604351,1245617298,7626231656,1823366276,880952391,6776652591,3816756876,1054559170,1499851437,2718886792,5344690923,2805695620,216580502,3323284812,455813474,754784246,5591438167,733184257,3397256020,1375634148,2165114988,3393971007,3496884405,3108916930,494260840,6784086176,4862654832,938629362,695150249,2106425682,374384908,1674361756,1829163090,254520717,389911654,127143532,3328495100,120236469,100777960,4294420317,1896234560,259768238,1647799000,2058578270,971698216,5672197194,219430266,7324284735,5900822942,243164994,6803294922,1338294532,397211688,830987916,2371936420,1314491000,506722157,6332203710,6596432171,257060956,1181388738,1396320048,653315148,3472548360,20057589,1775717280,1333802760,1026959922,4478134095,525842349,2858751144,575803192,1686321819,701737456,4287202284,778416558,2694391710,238034188,8063435664,2837276802,123075225,2452440940,8210412387,218634350,872303284,8185195566,912469898,1707183590,7481646552,5229503482,306301038,3541425952,4147466841,5982417826,683247102,3769020052,1734425772,2290045773,885537772,6464589502,5909227470,2599849986,4087095368,1345084572,1641907680,3663185988,900021861,129642177,1356940452,1744961745,265320952,5887123354,3887547640,1589850195,7942863645,877235850,1561722184,285962976,633870398,2081522884,786797746,7027256394,316673487,5284206968,1192703097,7982702424,988191800,278052822,4777585620,3504842735,734390182,405054256,5322695058,704336206,788983370,129152114,669308732,1587573792,1127615810,2042342658,2428107228,2453152920,577859452,5822937414,623779144,589930788,1153120758,1593535120,3141241924,1967576148,1527169772,4502224097,1257629144,2325071100,796767576,5168022882,2528517342,3971338935,3377563344,2889850908,4451882585,2468690562,2819057955,1829060236,3079362375,148711774,174278202,387586465,728506838,913262487,4430244942,2361739167,6845954064,1597400996,1078424571,600726072,79195949,941738094,1735002712,3382072480,473522868,2764254522,5167755089,1431318834,314065898,3505769388,1561863366,907795072,1039090011,574604158,793270300,5027718159,3894634928,7210169216,1076817426,1400832291,3000630710,674519662,1698256136,727454120,2644988088,1602910728,5151868449,4283786097,1028617304,4153239477,1768436667,135195619,2513560746,555579492,1707365412,1845398094,1457857584,1959911952,1139451523,3985088545,2650149755,1198429398,494905206,2429688270,2505383888,3791779464,1518522068,3454085868,1436649613,2556865851,3229046245,313314691,2246396188,4814124648,559163217,288712808,599532120,327417240,3479569616,2540966538,455249638,569710482,4871588790,6197287284,3663419494,2380933863,4439453624,2830426760,934825757,6839443324,2029331307,4481537652,591534552,161153865,4254241185,4094321875,277757992,4816912580,995335291,927036537,1155527787,2404637994,1527806340,2513302896,1651125906,2205206304,4700981285,516479858,2897922245,1907943192,472123752,272886897,1580891478,3554265870,896940849,6962025064,7468049904,4509807705,4852150475,143184081,3630613378,952809044,2790341118,6289884369,1200249379,275842274,6817254192,1587808780,1985661936,2611843552,4360031168,1183525083,2412302300,3285088760,621274144,1742249706,4101991930,1077157252,973053816,3853951350,1177673168,1398731894,1185722404,3717064344,4106092304,2383448976,3239385115,2734379060,5763341223,1920323430,1740412436,5739339224,761227638,2329873392,2877986335,2428563268,963911244,271292616,638148196,8048571210,168423723,2147012346,4575317720,669400888,788815320,5124509824,1871424684,4822634160,5653881079,4787059878,5547600392,2546796225,5065856523,929745720,2650469808,2656488576,2170646450,3164597296,1520523520,2456438298,2544170555,726683316,830772352,7455945312,1237865082,2989386672,5118779565,623748727,2619098664,865616324,6661218528,1570978368,2017411494,1520500470,463426537,2749028850,1617032032,2838821575,1038548808,370168305,7328574040,7774921312,128088810,1604594206,1006868696,901278856,6406572816,7691036072,437638225,2111875304,1057278171,2503683075,3287661936,2305696840,3701224578,484501940,609506172,3668249858,261874640,1272250476,3517922888,2743571080,4334740215,6849269816,23184976,8288455248,63700671,3218696358,839835211,8899345080,3430962297,40520160,4491325465,1532715210,4233642133,1443393690,1335673230,2085084504,1969971102,3218849245,800099085,1076801140,958048409,830868544,236971406,723948992,2211144210,1818384429,7449984657,1184040432,6358020081,2935131409,3417699882,5190781905,394096208,806346545,1385807120,931242106,775249252,4491936582,248903423,1890895596,3339238539,2983299264,1796179350,644242227,755249665,648584046,5105064708,295309864,3335076650,8389168128,2942552652,3056388320,2849424750,2342695691,759660522,1097348586,736466560,5020350768,1048685135,3147292620,862270896,5409944148,4658138919,2985286488,450591166,4770823480,2493020232,3088449270,3540176487,435801600,683176350,170377419,6125089590,231320580,1648159980,825948957,2298441114,296342658,680608416,241464458,1453736200,2787698230,6946543093,216519078,2231963940,2995795772,2106609832,3875031237,1112160498,5135393893,6136645320,3471873580,4693486133,6432845615,2270545495,620907724,3819643398,1437929496,1560138042,405324492,4858497546,18738498,1289756704,7027443837,13688682,331230689,5889093192,1950036300,5795779428,6454534191,671550840,4961677806,4193768950,5055851094,4990524336,5404592190,2316944136,4338830752,2110917285,2677977460,2591936263,5705834400,528807615,7280156800,2147151750,2189129712,112623793,165739040,1155692986,5195537955,4575411414,601657614,442023597,30799762,6346664331,4555680576,587810295,1472476614,279693027,7717281201,166189128,1050482840,3120634680,2570964208,987871740,2737907316,1566002276,8213479488,3981449549,524887902,5851917488,2567975184,6855653184,2226600894,1164392500,961823450,589710370,853233154,2570570628,880387579,4461008850,1895120700,2943631624,1003639122,375399563,6593813442,3869017196,4756866478,313234928,1553020062,1636051980,1038467097,2889688356,198233500,2955995833,4341814545,4955550705,1478235064,2226640878,854376115,7656103125,1847325991,1546075776,881587097,3557121040,443073406,1158219423,298908282,61690281,1052953353,5105784942,1930624608,1876515705,3355048000,1133525052,6498147464,3663361672,911311170,6909917756,914596946,372566875,414649632,4179632796,5561521312,3499734510,937627464,5560426230,514663524,577797444,981663688,35578058,1327069136,2855942700,2455998498,1341870820,412487570,347173314,1751002773,5350701356,716039649,574697403,785152440,451700196,5820077851,5531586111,57477174,3652710208,3546988677,3606494736,3420876924,2337061293,279085020,3710644992,1795440276,1211665004,605346696,459891180,253683339,1386293562,1959808208,7768396485,1894926084,1878267976,569735529,927691749,442881008,2930018046,4790213451,1060555086,1065948576,1216690116,1794341252,669469038,2303836731,1117755318,252899120,826699304,2275127040,2176745550,1994513556,2312273622,1700653334,3120951932,1565528216,3867795110,2161109850,3536195705,825860238,4038154008,1004843091,1895374884,189928619,1717192113,1861328416,97325209,2085751014,867633093,4086190232,2802335946,2000061336,542357743,1778391937,133075366,5165427246,4700696392,1393376151,2099479120,1058127182,868260925,2266571264,141985059,2551681040,8598064896,563066310,6579668196,1961972736,977692514,6545213556,897891748,536242147,7350072016,1891579544,376647568,5608964067,4555297092,2438930976,4336115432,4567886001,1362591900,774500370,3678294276,1603079048,1913433036,2887008021,5148944272,4767952231,4751500537,1740242760,1444802464,5841154740,6514717864,2776941592,140367675,4531264392,223283513,131685352,2549005413,3943168640,471511842,12303425,2478413435,1896172888,8470489572,1058399435,2638387656,5407751349,2423245072,2023614565,156905377,538586438,451495084,2906361948,3657349836,215075125,2028151895,1049443220,2132890020,1482494209,1304725473,495336958,800863681,5090528816,2950870744,4256705000,5937127847,463614432,2700745768,970087758,866686643,4268526558,3807981440,923631304,1420019516,1142382840,2223725128,1339509616,878129537,5667596988,1210510534,2879860172,278704377,1188782476,3391630506,5241136617,6834403161,4381802856,1276692512,97814980,5581957182,3073853570,421787911,2064651291,3860673295,753272845,1357701926,3822362411,558403686,716816761,14309300,811220790,1734055782,818673538,633514021,1868243910,3996681496,4282618732,2891866212,931625758,6877496322,4223357544,43010160,6465276307,721294856,661858038,1068194576,1426105472,5410715512,1774170216,3412441380,1309194576,1628033208,6022279977,1137250920,3572789373,251406856,761511292,2931391953,1366627113,2254395120,3269763534,696152825,658225662,4695716795,1734393450,91675538,579787289,407105974,6074216631,157334394,6381675504,7578803256,107676336,8383688190,5902652152,654029272,1713044646,930298022,847252716,2660197508,6097599234,6486676902,4904206470,503190012,1348583016,2459155440,453513648,2111097822,3187115636,6906883151,611796651,1883027824,6376103100,1314779980,490329580,290723940,715428876,1668340692,3813063472,539837364,474617356,904504164,2608318788,159378821,5624158505,6545131243,566336044,667908195,2139442445,1571589204,1931215104,157316503,4392182648,3015207902,1377685336,954206990,3682046963,6118050104,5127691456,1807536376,329989105,1545742974,357865532,647689196,3492600735,1643650720,2158556439,1513840668,8280072081,3012780449,6029403237,1557725968,679024656,4745131560,2470730805,2203323420,497485255,3035927310,6208048072,6113835805,888315533,541511646,743291946,3010505576,4964595768,5022950931,3296112925,7543778752,61823664,468059814,2538615942,3067797397,277323798,3300510892,517749964,7974591156,833318302,1093516184,3765919864,3696098752,2414517720,3286689120,565472080,3563398398,1282324308,1777356783,3251908056,1523090926,643124094,5833289040,3473057250,2045243228,85095192,1939453470,5106896652,6237492786,2041434241,2781492568,2847390948,284653992,1437239466,4327769976,1365958020,101321339,877231564,429767760,3138782735,2046572220,1531072840,4880720446,1204688072,1858717770,4389774032,4736939160,2737745600,2158447893,582603792,4560940160,56582738,1792776210,2016278898,2870664894,556677288,1340191864,3345565302,218413640,3734738395,479399196,1219919086,3993493896,101905685,4369949904,2672602164,860098275,1813588165,97303716,3557634792,2745438600,2089493397,762411463,3574302896,4437682659,576208136,869556222,8543156274,260693468,5013554912,211849498,2735492934,286614728,948865543,8915805126,997894835,2144259824,2252394885,1574205282,2976826128,321408544,1425731392,1005451212,1584154032,1813727206,338226589,760774300,4873206807,3797980055,173382170,3010444488,8531419032,182584060,478186968,3001520368,559535322,809624345,7415039024,3463546079,2507617808,214005099,1472787585,2936548360,735313544,1624573908,1468797525,5431681584,3823368978,999870700,725440577,3329150139,374749200,4623605298,7902962217,798075777,2126941590,1323828432,174430640,4643822722,344360150,2250805140,503305552,2419314006,262643095,2310749958,809778354,5393602374,2261172085,1823127588,897489778,384051352,106188712,4200925666,989095683,6661312248,463740912,2970245440,1437254316,1975274034,738978969,475921824,22614256,243151416,2223544528,2210634840,155940538,308200580,4106862930,4108156242,1684768225,1684407069,4660880316,5790932427,1243209424,1550891392,3834604760,4412312883,1430399756,6085725021,3029063488,2145370575,2158881326,342763733,4771455984,5617164078,900408500,531726976,889734475,374330074,2982867052,1801017351,1681914648,2420147056,5545303976,3194196980,1510223975,2292686541,3655155644,139639360,1816307163,701878755,1710578590,2386832014,662996480,1400344536,1736508120,2104131253,1989534588,991389627,7395008032,3414165223,3223532910,6900556347,3795266867,4513375968,5989590720,4712247778,5662590852,2407118212,2308552968,970246592,4826411050,122033599,1820374150,3655142928,371872146,4530773910,407753938,612231396,5642500752,4844769650,1004840070,948418332,5736744937,3346334631,5208534081,348742875,1314914799,6782058936,2209215400,6992550315,1123569102,1189300152,769898336,1361924424,3139689408,1009641693,347170369,814599896,35318050,20917338,606288029,3037866160,1221761727,4983639275,4021018344,4181901680,359860428,1390333950,190115766,1361376144,7324560,1328219865,474437920,1926691907,2112784851,403652570,1016186024,112276440,2979051504,1351826646,4486365080,1858948034,733344432,1321407798,6537687016,778218215,485852598,525690785,2014648902,888079743,94217220,1208560179,1984185220,1350432567,4853379377,1191037602,1821649375,1854285704,6684685227,157404087,7891465518,4069929500,1692136230,3416639382,1316193909,1483468404,997084452,167433828,1959714148,214982414,2515987758,7247446320,5233346160,396887652,5139104670,1427650274,2155217892,6165044901,5901520226,3864877520,427632620,1197814328,1344787074,2565223416,133048464,3349346274,1981872040,4720913964,1684135434,3843979324,3627639804,1208627745,1597032135,1573717300,3195590380,5441338215,1551012410,1085527392,3363156891,728787295,3706980825,1667463192,72798007,5550412805,4671507810,3654874344,1985805924,3430124812,333276198,2422285794,7894933240,11417936,184893572,5467504635,3175166096,3869066320,1053186800,1078690509,852684238,1013507868,1360450502,1979483871,1361802030,2377343580,1063772334,261250164,5970236832,1526448676,4169265865,3865878048,4128234383,232295208,4357637778,662139207,204262918,343846188,846053960,270739960,4487879106,395618220,2594234313,110279727,548055288,3122850025,165160054,3619345600,7467963282,6969808248,62695450,2991743590,5842277142,479081007,107935218,1107989250,991021167,2552239308,6362013154,994065554,354101930,3800939652,7688942298,6645136148,2629755330,2224208916,762401487,4176303468,421278478,371678285,1566161658,1910842380,3538904356,807622208,1355653766,564085881,464192175,1029726726,1490968768,329079919,1548068984,647492394,4153053213,512172232,2671797340,666264110,2698071680,5939123742,478325372,1146364952,1318703520,700585656,5026965558,671460015,3147393812,4311835470,1571689045,891922860,59055542,1936463024,1790933565,1637115672,4069595781,1174088676,487035616,99871965,3557453335,2925221145,1056346395,8832666393,803028912,5232687126,96515250,1374652284,2613341500,163662300,2839505136,159101245,5859609888,3885031602,806131446,74704432,798391090,1372625991,4500289224,2347872714,427716651,407973328,3108113379,428930481,238254640,644387805,7860696288,1513577958,24597339,546955964,4471725780,350887832,332063286,5663330008,6875699257,463603527,442971436,203209272,5423967384,265287548,3777352940,230916984,964722470,2913504975,2061022458,2042148704,49391564,3285532305,4004143524,452263388,3797513900,4726657608,559869632,1137648966,240448810,5278496392,1812592733,4787441952,8353201878,3630538821,3765726170,1617338401,116864750,695896770,2003013882,2400494049,3626838324,3116942181,1475699318,3744422665,1881698063,3045334395,2102765448,2216728890,5370185430,2196981180,343203940,1620741852,770755428,6120969440,3426380440,99097197,1675606602,4795291151,1606628894,2014092615,4101969590,5017898232,3768664445,698087817,3779187671,593010021,6295617387,2172391284,1600804377,8361419040,2742164865,106112732,530366258,1972581880,7226534592,4836809130,1455549024,974425718,4821487928,778163435,1060670365,2149256850,3306062683,1966509388,1203015218,5879216456,319665250,253751681,2709444225,498044384,29822120,2909388985,180147040,5366357504,4395179019,6396254557,2575714932,164297220,7477934310,3509872460,7962664,4305305880,950628332,8839847601,1302184804,2092447548,419011242,204859848,6106407818,4492464990,3730313860,1952991476,817904523,2460138240,2469323108,5314585932,336389081,2218781252,2835853916,746297133,6772001008,2531446320,113794170,381336032,3147978309,3566069262,7164917712,3113719048,1245287680,4502923614,224765280,1478811186,1949236096,4091412575,2481097032,3504756474,1711542508,3571219395,8953743843,3576872108,1957700654,673394267,6116323720,6239760219,1925888052,1657611680,328491688,202493590,341187794,3091464320,3618863288,988253270,8360037900,1153117725,973338508,2349930530,92909886,884277504,486229059,637762340,4355772204,1949622955,1435660428,2868287406,2049194384,956391272,6764154312,943576880,220296552,8797297131,3415405924,4160371692,1549842618,1792181890,2133811568,1726557604,1257724392,2572697197,2390995552,1225330986,33102483,493798557,1633695480,2785153374,236651565,1985163288,241348306,669157235,4326694272,904995896,1535931830,470100494,491915912,6434254026,962455024,516423484,992292777,894873570,981664712,370026372,573076796,3866426856,6861496329,6988021497,3658580919,6707634147,2238657830,2238082280,871019450,2519644689,3730499145,1797155276,2452177701,2977443552,2894974146,419895790,506908465,234946180,3664558100,146849499,84734888,8171421255,5951380026,1072053850,2693561451,948617226,5935320888,3025357056,5743696609,1216751384,158550462,384391330,1876667031,2950772504,4884520698,5989207070,441775556,447786036,808700694,323089746,2126659600,6064049537,3159927684,1191697428,634347294,3815955408,1487739968,5616223008,2668624368,7427436372,388622576,1285494446,1638162804,5707315502,1158582745,1175553960,4036849025,4147143155,1838367750,2108018076,1817078608,805913826,1551750345,900039344,809983181,1454402457,2878142403,3426454110,5211308152,5209046000,535873894,2383698664,1659712761,415068262,1909224236,3015825024,4774781346,4221002118,4514919396,3516350792,2968525944,1738927384,4831082680,4059519456,2377690911,4018937835,872967816,1275224988,1829382910,955817112,3386407150,219109008,1531315944,1832604465,2653930720,4028259575,3004406310,49429800,1217815188,935203608,1547979720,2819532507,3741805245,1046129248,5088361792,1832726040,3167894116,3027673638,348679024,2625438968,35470332,612937953,780960872,3396643024,1068572888,3869691296,4681972680,770483214,3026245188,5018969960,2959727204,1930111000,7370423640,456321746,2785256352,583597428,1455103305,1288563311,421393656,8797872879,5429436383,4493605698,40481216,1491710974,5361649986,6532185667,1403981250,2999597478,939584089,265726690,1716859375,936246915,799947567,1380595320,7230434499,18423330,3883817285,676449008,5581650150,1566676800,5983350690,2748745496,6382263118,1917891750,1849594011,2554752630,521993250,842672164,418391280,887061360,2255578065,1643570650,6226614450,3052738026,4408735770,3126885948,5187658976,4595650776,651813958,124984000,6791266256,1807683126,1421729382,2009363142,1165208910,1861812104,6810102252,4581303433,1489254741,602282280,3718250716,1716922600,6737371182,149053782,235273660,143655831,3574392680,1059724145,673547218,2497195608,3680288898,4028421705,5102642187,2908352096,3391056772,5776237935,4296494457,4981977984,4531732962,994399152,1396997910,3245847725,2804173376,2297192476,2969190232,3463348420,1691174166,117522311,3458863701,1221063915,1708580700,1376260566,7411669650,8751059874,1080089760,7425388863,322392483,1559365482,1763808358,1540958692,2214335505,1490816568,1143432250,8165293083,1065100608,828594500,3205305354,839730984,1161297864,4453620157,679668896,5912211120,934523950,7409245194,2733412570,1854417188,534845794,162536238,7431137144,4460834376,246217884,1214289235,5154167079,4673543056,352963855,171724036,1033749565,718760010,1063672184,3477288720,7714492641,3447862192,3193450395,5964452253,1786084038,4720726800,3967223964,546765154,12287955,4161934230,4182822765,1588609264,895876528,3327785202,1627247874,2461673016,504761092,918300870,741831888,7507177440,573464092,4772160400,6354546488,4221222957,771523604,1530894015,175171404,3710308850,2650329428,771799704,4145709115,4994498912,4335400650,6817869303,860798345,4504094688,2579857686,920557467,644693250,4955276424,376862981,210299526,2069752,1480935634,6476265747,970271413,3661602413,8602449210,3789627840,343014726,6313057317,2136454398,1689220015,2994471660,137339568,506227870,3690463761,2225779840,5200478066,336508650,5595612218,96689216,2527349216,1904568208,3680509316,920147686,1017290346,295294830,1246874432,3374512520,3789570644,1328471753,2449328900,3350814752,1582809810,2995247220,635523939,569753433,2221163613,5378105176,3929958590,836732344,4348436890,2587946530,900894519,1570626456,1232900020,4389763548,168981274,1785829612,763893944,1065592605,1139764324,3843036600,820922735,3290779656,104952638,928719418,2156019285,25038323,387814241,7478523368,580508274,2055910326,567743272,3167334024,5836230144,175417105,2567750664,851083214,193865342,1537800246,4630505178,600722100,1717259320,6031543160,1274582160,2203601001,2246447800,1169766352,340940768,5747680072,3644527965,691330920,1973659260,1564449327,1566885900,853640007,203474091,6507772592,777593410,1500591129,2375809457,1941373038,107462356,1315226422,4618887712,949987266,727718826,5608732934,1886683372,811115716,2269573728,544365592,6102384504,712301535,5276954910,2586637428,5368181508,998128167,108597825,5463527157,2793741924,716010708,1463626950,159018635,381359625,3488835870,5755785156,82909012,76461030,8558208756,4406390472,209441764,4715039961,1449621518,3517001784,1425005091,5617339595,7106530860,2577798265,2581403583,218095618,2567050236,6445080960,973083925,20470317,6144942272,3656514510,4548022840,1606764060,2887867025,995783890,1764390846,4120767168,902666616,986300424,1306461686,488348838,637735011,3438340144,2584397320,1316221818,656221394,118107345,1415406834,817881150,2332558242,3587103608,2058033880,6427059592,1727429190,4402681017,199535216,35603842,1382764232,2225207058,47548773,832142964,3722069547,5230814139,2288049252,66389555,795695297,798523395,2206790166,906282314,1682353575,5405141610,3391661608,706304150,1886059212,1572716854,4451708736,3461122518,6414202908,2185423050,2427108513,6799664272,6429288985,2156139000,3232927775,935339562,692006434,4435450495,5379888636,965439964,1994450812,5845198572,1515948660,5580100533,1133409426,922071432,318545784,6893510648,3838830840,1886545962,5581091058,3577974044,441397479,103423785,87981692,7622103072,3609220755,3046343440,2802566124,3838319592,130284186,4694710212,1247956078,975938310,4308906895,737061660,7580063178,260719208,1677050082,2895274816,8050338954,853380445,5108312421,2611055860,3147707283,662410672,3934420848,89591010,70953806,30374301,1018722339,4211270765,5491104390,3977490696,4397748978,3301353224,2255372235,548620458,1166998030,1758227415,3805748425,894481080,2354528096,2727651369,74781578,890878248,390818769,5178613344,2103937872,4460623986,28316756,383394344,2603018412,3295416840,13102795,757069780,177324243,1954030372,2859736563,8673140214,5750232294,1076415963,2833966440,419669472,2541976632,3366168276,723975240,437976828,31557715,2702918298,6918338903,1222327295,2472957876,6412773105,2106234515,984993288,3760921384,1236599190,454423386,3706024960,1723536556,3019444284,979441607,3160246930,3788748364,4887350540,2604572622,5605125612,2480270232,5040500922,1253217948,3688054072,5862689630,6159579825,2678389614,481409598,3244555971,611423358,1686176380,5148303903,7016297436,3557928128,1531353384,275967098,4274748378,792541281,1308540567,3136677556,761163114,840310686,661184786,1283722602,1170819816,2615845950,954474606,622349484,931320210,1314267747,1226800008,2044748733,5534243246,492938736,1924993086,977270582,4858491945,2399065095,1552029030,88281280,2868911404,794599588,4788594306,636293886,620740015,1893389070,5903994803,4697238828,52165968,7433247042,1112656568,6538242762,17016488,3041476524,8586138564,4202717675,2270425128,5545612080,299639350,3560149392,337979161,46003048,2605542355,1473123455,1492592475,5160298887,5154808106,6457720328,4134605742,4653967872,588542465,6848995208,1716233496,3323958015,2926236250,4713084160,5663611200,6328724577,3731391488,2447957043,5668466264,249660394,6691591347,3586238768,458458920,52258853,7705166571,475160342,2931800160,2137930230,1926322573,994752159,414737732,1874057698,1384367030,5381727282,4879898288,2420540823,4656773600,3737336643,5984688108,1088160699,1005795288,3679371164,245679705,6751879371,690728580,939964200,103511887,502035720,374711344,1648599516,3757978980,1337841603,2414372292,613337625,277081168,3712693128,1831097652,1027144956,2851267552,4000250583,349869456,2241649932,134353182,209038968,250027799,400112568,639947774,1892126204,1625407146,4445697537,1005558696,375998464,2341994946,7175599533,2715643938,4441544830,1219271578,5471654418,307386464,1921516016,6043416057,8554350609,8741893968,2411176588,359829230,1497643952,3281864922,503001334,2929044979,1958604363,89937048,1504796550,2098340980,262623699,8261855037,1370773558,4531467276,2387409129,2499564453,662327164,999246102,1383906656,2454329900,255375928,8475411492,2938833198,496207245,637463082,488631075,338512668,2758167492,1190232340,657657377,1294445860,2000016963,5041022856,3225710316,7581423664,708049671,1725875256,2900286772,2078401504,592398036,2305054368,3097912392,1329562530,841407182,1950459824,751344802,1425129900,690038111,5248258680,4672910202,1358889165,1917115191,732763935,670863440,2623187970,4027727488,3014159480,3151516445,636578052,722151584,4000414180,2704844835,298315964,695621204,533295030,1906627002,1310829072,161893724,3544771446,5936476742,3623357556,2259943889,986083593,397625130,2880392832,1399801670,551879217,234018308,4637059020,253093920,6227324908,96433353,4218311640,360574935,1332007038,1910477228,1040512572,5526002368,172670351,96150173,241376323,6277444872,653655414,6073673200,1368229184,8039503107,5466470296,936987478,625579074,2621455330,1488834144,2934510680,670118100,1440849928,46016926,4532418835,673091704,2967327690,1504156983,3674222784,4132429610,3824537824,6614460930,3677263569,449427628,3954598,6823418067,578199996,5306529886,3521894355,1331557040,520892924,475007598,3124952202,2391860745,6303829,440836303,8001654633,3126912868,498624276,1358508600,954086183,1199838057,728298523,1993994740,1697505327,93388655,2174618336,3242715240,515691936,6721653,758917983,2364928560,368411064,1031138496,869111512,5793480450,2646075222,2371550238,285143635,3812955318,3859537484,1823001565,160508703,2797870056,423387639,7367376969,527441916,7091227422,637141919,290149117,2145176324,846754985,1668323656,1488769104,1216260009,2812606384,707403728,253354008,2152240685,5183126550,781189833,5663568890,1017016372,1614519912,2989050519,1061663421,390189545,3009695542,1485903216,631028444,434322485,5484436710,4485197619,5602495738,2928941795,3036143168,823403027,4801587984,2010999810,4884860,8910603576,688611740,1375434324,3025433840,2456044662,300909069,5057417052,3510248142,2359649500,216003525,1303959450,3618462365,5033608168,2642811039,5689541504,980156096,4533156895,1664603328,480926116,4900434198,1354593159,373309016,376609401,3960182112,32627041,3562163500,1011746226,5038893882,438389596,1584908680,1050501298,3785878314,4415169654,7800765192,413095034,924616318,422779156,2233252242,1717202105,2371851216,3689869112,37850630,1055950628,2614063872,3398119605,321991803,924652375,1169135896,7148804634,2096676570,1167809912,63103902,3857373930,1882743498,7566660198,4603067595,903477528,7525970784,6218486008,1674587124,661167891,211618748,552566012,5858797864,701520685,979695365,5042757153,1445937982,1249045638,1138206870,4905509898,4256071488,3508014640,1668667887,2236702100,7475040600,2883972424,8015221692,216796667,541996074,2802055039,5951191720,2868047571,154791060,8552734038,1675863036,146633766,4986117240,4707849045,933368970,1890124880,2879801196,4828646730,2358037738,4636097320,2873121816,1744404234,220203481,8786259387,248585751,725089757,6268942,4918633993,3667735670,5094563664,7881852664,4902074235,1435659840,1693184372,1077916455,291715284,1922749556,1337127266,3682976308,2621644263,6638717099,4738844205,667007012,2127727496,3393739276,1360379354,1586464854,2533157660,8772679593,3181755094,2513040565,43055988,1315517196,2850776514,1693318656,1860971788,329172566,1874173886,1156670858,2188123160,1448027240,1925484906,6961901758,6936363176,49778928,931747565,1736344967,3698880582,1549307123,2095029384,1733149856,3901121766,1308561040,4659346521,217471587,7373502280,8410544235,3237675570,292715290,3244276400,1191037170,1894441002,638533614,1018074792,3196087500,3070446248,2787139152,638534055,591752906,1529061821,2119627422,1777596006,3368086893,1720559468,1065553420,6056455762,205258932,1937520754,5753940198,1279750616,5397750312,4684218497,901962961,1450745130,650284430,2573138308,829923806,990760556,269299154,4284910728,763177452,6820406001,106146695,628754640,3297554788,1648268224,880418482,446178970,1725721912,5387079150,518143761,3110263232,3587690616,1626131554,557971577,523016384,45266538,1673724580,1757174054,3127655732,2308367905,5543514870,1425679314,3630838967,4550977472,3328629066,1238076936,1798453014,77991780,3204987320,2099622520,1165841142,2042012636,432182470,1544844711,911263424,2960296461,3686122655,319951632,421461138,119134740,2903001777,5949282942,1187166636,5876965434,2151270180,1555277778,2322473742,4629736068,4304396619,814374112,6235298613,1108190280,4393673608,2257095205,106106032,627346355,1008600456,3555766612,2066158563,1470319818,2318638374,96967486,1859764254,1519361154,1817229006,101253637,3299243320,4236886554,691041528,2800247870,1876797706,501690964,58487275,4058839422,535634016,5941557152,4040340745,7438958088,857422926,1911221690,243126860,4729315815,4535731725,2398142115,3420275697,4008054415,1432522467,746782770,4885505905,5787804501,3521626456,321257412,1698765537,1581066425,2352144575,1946340606,1965547129,7207964775,4557529767,1635818598,2021904944,4066053696,808292934,2932926759,798440024,1864881840,2488666180,2358477471,2785141936,4611231280,3056845890,530993816,2019176550,2842338472,6620375400,2537584542,858584249,1875077120,1094576920,1770412046,164595319,2520819762,1930287108,6948989289,3117153396,72112780,1516467420,430342017,419475680,7679430328,654315521,5532702936,4015562782,5161803800,3144221464,4184318035,8182772532,1733732652,2256548814,251022113,226070323,2376090345,1732496592,1709977606,3447018856,991663691,1772805897,2644490454,1795020810,3736292440,5962398381,2601087897,6636933810,1848030402,5742416835,726364950,6111186186,3178528312,2348385930,5111078856,1455135904,730603190,506076126,244253853,1393118388,677318537,2265512382,5719846760,6665326164,615852360,2849570164,3720673492,1001903176,3465985914,2112609708,8293427451,3587381028,361176120,353012897,5237149057,985499640,582066513,1654756908,1342066149,6523428870,1081556720,1205698138,4123153168,1018931935,2393127012,216916444,2378804865,4784062890,619004742,4388196897,1850061605,222543756,385136895,344491155,2623013559,635647204,6962411412,597390887,4023812704,3404820432,3754156472,7972579296,4348860580,2648446704,2917752348,195964938,4368195040,5852015778,202641305,4930104960,1579977426,3121468805,4920625968,5460416353,5611410368,7625484027,896973636,1830930320,1740820644,315692350,441118548,6091280048,784737286,4190155270,2415952292,2833847478,1438684923,4709433290,1952846958,562920352,1808007908,2207065680,1470984376,5507423460,1090157537,7871146,2615539440,641112882,3564910288,309646404,376714340,5527345360,1816198528,1304661528,2940075816,4466004489,149508226,2105171262,155585685,2137864782,1293756079,1985067655,867944276,3648614140,187736301,161478174,1454030454,3353223882,802541025,2715576459,2124312055,1286544324,5096600334,4760154000,3544956765,493311273,1578577184,3857232635,3348870632,1882145100,7580406690,1557143126,347397595,1162769400,1802507946,7583640208,6534861144,5216659371,1223731816,42654290,2483087140,630635634,629871472,276489024,5297006864,1191679852,5392723764,4373891333,495386559,1948044248,5553062220,5015937430,3928204020,1194220840,6304998150,1617252759,1101040913,259399580,7277004216,3404409984,3630471392,696264520,1621027256,887891472,916130778,5914763208,1229649036,7861443633,4301375570,958214797,181872615,3976156880,2115426278,3490841115,1153351098,3431180260,1445066487,6574008224,3804632175,4945750971,4908093432,596702608,1014787548,3305150105,1905352925,214989572,1888234356,3420079677,2426882217,1300273470,6380895654,1032452510,145258555,6350520640,1076018150,2168014527,2906833988,860014201,18918464,213600594,2553984936,1081606788,4325456580,8278349166,2271943828,179314467,4071816102,336439494,2176684146,3289626426,2031683514,3602615975,3511880875,844539660,2716437060,395988852,4032257200,1102969413,252228117,845554858,5286030584,1387532150,189213422,4801097080,103865088,2121687651,3006111879,6383036277,1088410436,2727760076,1033685876,2855233695,608321952,7263168960,1081800582,7893861813,1481993656,3299412564,955944225,6636451164,362436613,1243802016,1901586722,490467562,5221012461,1456912335,2009173,1955170286,1258122540,378937674,3921909468,2010826560,3066461564,1415193455,1080042440,2770334457,1669434478,450387522,7420656150,3642981566,1498858104,1614241376,3600671520,3045828360,1578319893,3644909199,4789795670,2893290477,1817029249,2707898028,1208246545,5690444436,861671343,2181329507,4515264980,2112879780,4982789430,768053649,225068564,6493230704,325442958,5788538385,605379901,1468417779,2701082205,3462046173,827994816,1042011446,2631278676,241687077,579516869,2908415377,1319681884,6942848479,5405647023,952294845,2241808900,3323713608,536916132,92786483,1452936915,2280607984,531610113,3689812294,2675959060,2485004640,247124385,482977791,307690629,2550945072,7475657888,1667371329,487824548,1837792946,5416452999,1417481408,3517949928,4636204510,3567885568,2695493542,4930781640,518038274,2333760858,2560167249,4039196838,388855486,797170849,305499968,925234976,1562834376,3327343235,1581029922,2893298728,6336432200,247667978,7907588992,16988825,1757987534,236679882,1795847840,3165418235,306039864,1235366586,214371078,470011672,1318901104,1098582216,651814896,4797128231,270152190,237084585,2049742872,3985255900,2002080510,5340556710,455071680,898590735,2414785131,474115756,1579711995,687177862,941133768,5039963466,1850063740,3360259040,3202998435,5619008871,491135310,679062217,3661937832,1596907858,4183584310,6759483444,3955091880,140109588,8437722021,692114625,682111680,776781135,259832276,199453380,1982280213,3309859206,5096592856,2167313659,4397878830,936409681,4606127088,4561004832,5223468048,3019126648,403287594,3608565776,52914656,350453032,519606152,2975143416,2497214785,1477946490,3002572083,679623186,1956370404,8486795043,1577629334,533961586,2454348834,137790888,1732539344,2850178194,2872300975,1529533485,2954838603,820938333,1498921694,991546112,48508500,2598238818,6468377328,1657298712,4345013526,727375788,5845268016,1775982306,1184771064,2523892494,485145520,951617304,4093535032,859400581,633551592,3331890960,1353033512,7542825312,2292419129,2430840276,906626286,3309460648,4606865010,736546932,2674500475,306420605,507997832,986041968,475767778,1751532396,655951396,3576815355,312327150,3395341335,8976693033,4463942042,4931751115,4604166702,34634710,409778397,4479327075,6765117056,388024748,114381624,519941531,2223993016,4777016130,851608856,2851100248,1548460755,686612096,5365004496,1153573625,557962458,459851204,786197273,460790199,1456417599,1525885768,761301049,989343271,109109883,1614419968,3551152220,912652382,250488487,860211262,180575132,4239165000,2087977514,392445480,120329538,8090853246,182555332,5502040704,5653607560,2635689096,3546520623,2790179466,1484952456,511879969,563530872,7582569228,545448609,873531770,144898274,4303202648,2822918714,278098007,5836011183,4113066576,1723384596,3719309340,3787820764,3386749845,537209389,2348368560,758807599,3661967504,244721760,2945597144,949972454,6261840,5606400,2389813230,6881406232,3729612168,900074454,40777536,4583307610,915210478,2658987360,596621670,4918552458,4712573628,1270356042,2573229912,3566467434,788740110,5003556292,5841640308,61563963,182238484,4813362480,328680780,487483840,1259395002,1367756676,3734544160,715852738,5649796176,159944821,3808592404,4497127803,2700468480,1768133507,2308818753,4069429903,1806003353,667387630,4953266850,4621873032,1824924312,2109410744,964708444,626726302,5078804640,1430225140,5829638992,726464125,5235143292,1345262418,3419290064,2520030405,1392844025,914812590,417182576,394624476,2888943864,8659244196,379035489,4072400872,2026502560,1309659880,1222602985,1155518934,4120594730,5419118754,1411653744,821956323,5114088198,4620819000,883759138,891593108,814382120,953448225,269161409,3672107343,662822706,3438935353,2550666900,28003899,6958819665,1296542784,4138150144,2595365335,4841495565,2814711380,4908885080,2265599664,3532030446,933258368,1532206680,536088924,939443428,1142848196,5219625480,269443028,35553942,5959111092,3811244450,48458491,3850559035,1945201286,2976507348,6865483114,1222053264,2524944370,543365196,3810423228,3868438270,36555048,630786064,1847660314,1549328538,508544540,6950267760,1981013578,5447854797,8216093763,2739791624,548004436,1571307188,2649904500,282223906,822738108,537695064,2189941780,1739710809,2686719654,2916820371,5535946584,5482531040,638333780,27529396,74107880,507222990,1245294832,747131629,2265247692,831097384,1868298870,3509414552,698561937,3453871211,967593335,2816233156,2241599752,898910987,1523061814,177405285,6718061664,778003336,192534288,2634082962,2936760399,903991120,8362484415,1551000314,1170532272,4226133840,333403697,3060321960,2210517408,1759397352,381989826,5663263718,560641323,485538816,1274244958,6880789280,4239456745,2425736908,2385091179,126203003,8302948839,1172402810,754534908,6395550042,2910806025,809108066,1194841260,3498797124,5212427311,623130067,1381695882,447501112,587754054,6040155864,23244550,4971592176,64977436,927744695,4005838768,3318019240,2655996765,3539618631,83969240,4786369788,916016451,2981806392,7616587950,1967332000,2823918012,412235284,613171021,1063187040,504227801,37560231,2802045768,4886572149,352988062,1130268704,220364360,572085558,2804378598,1812069354,2195897295,1895282988,1725751683,547845818,1137689880,2671004192,3222344024,2530164585,1916715294,236861727,2410033845,3025710506,4132955780,2296280980,2128957980,2804517894,36168100,933669480,440268723,810523611,4613869975,6249408802,2548640048,1427366645,7112404256,1747467668,6129881928,1725194495,3254287977,5249477093,6844702824,2675535152,4656436358,3689423185,2004141212,4881630055,3625085484,5078043120,702344108,165036798,5231672369,2945893856,5003580654,2633204128,267360128,2756607900,4389289200,3947834886,4863564684,1343915906,838222206,27958651,449114190,986943457,146899608,3517380112,3057058809,214156529,1845940885,4545443820,3126194020,2801071388,3451981705,2840985774,366758469,694246745,31901835,3750551890,3086923764,5302270755,2508918030,3416113746,3087716190,4241098773,3414360803,588789456,370344128,1824715640,3068705016,796225530,873356901,405654270,1957273170,6053650295,5550348354,484836332,1484167226,4083826465,6651230117,4114697325,1431099222,784862197,2896785981,210580475,29381751,2197945024,1427276232,4283385561,6625820286,205281838,6603806741,5211832068,1545559132,1917459296,1270410360,8356804,6818366464,3294170004,2507460807,3749803834,317540878,5529658698,5678053992,2802246968,1689377337,3829349844,1203880602,1115539260,5175986643,2468837500,5284104196,366849320,1032748240,4587237720,3536567902,506012101,1335618244,2493087456,430908012,158331519,904161379,5777461016,5695317396,812159014,4990460160,1462583930,4644502686,3119010320,927274889,3461437683,800629244,679914578,5489188335,323104448,1192750052,729639621,721057981,1200501890,529870902,1914710376,6413743368,1847590512,8059120200,8326404261,91547965,3369633416,1679118858,1414220136,154129468,730412580,7778104839,1876828368,1994703068,1181141812,3062067096,320515815,3704897916,1744290639,1177512634,995558628,2455894158,1744379352,606358022,285686132,44003652,3356235715,663496750,4518278568,586318866,1344716838,4359437313,2835422744,636764440,7503914848,7496214496,1075645272,721907423,2791701234,4342703596,2974189036,3726596818,6986965338,411893392,5319695184,185053684,1870723878,7152931746,1639602648,804465861,2023820505,2588676129,1506750822,3156517988,2298811960,1792201710,2750739789,531766285,1600738260,3892203790,2024984860,494627103,3537130383,472252968,1479667532,857833266,2336060495,1511816523,2662000392,481626111,1193426406,5347934022,278286432,320056426,5832949952,934863855,808944668,788339472,1871944696,595416296,55239452,1423507010,604604212,4517848264,3252654720,760502931,783541998,6491475690,2240106355,5124728616,264878497,277611661,2327716784,999621777,4516560780,1570738608,6494397448,3959352344,4287664332,1479157842,6301074605,584704362,1267686570,2345902584,3147604095,1095613185,3306190960,471939414,746732205,1253939940,1112275719,2935804530,5992325836,4883188048,5963357834,1473609640,3731001244,5815225568,2855705583,2790706425,572812620,2443185400,5769406557,4284615748,1367946320,3194854215,212562246,305026572,350632632,139063456,3151652553,777742170,263733029,1057595511,4230936810,3255687112,4125453336,7669468344,667249951,823470858,4149149172,1412177122,2908443795,7307080245,1384226856,591262518,1813089500,3318873512,869813124,196648100,1398569142,2259365895,5899632120,1562565921,520296485,2308276372,3755156265,3610211576,199163064,5350862016,195990772,5628858654,121079280,4868828952,2308939695,46539408,1761372963,1412663256,774792577,3567008016,2248995234,536986554,191661553,4208625290,1263457035,5720328468,638916096,1512476861,2140319398,90221514,2934257418,2937810400,4502981112,4803586270,1133205980,6692019912,508685529,2059733865,1302091410,314690879,3098218576,2038439886,783237564,246469638,1142738584,1038564876,6676229126,229586457,3648036738,708410554,424794172,1335740848,6322949290,264214410,1369671150,1955116874,7581022677,2918890689,2992682028,487978988,3551933416,717800562,462133864,470551080,2939887041,6029986446,8369571051,1096350006,1512067788,1608648702,2680795824,1937473785,6388448877,898777692,20127512,3992818464,127461420,910747952,1629033864,3085173712,461487860,1628647041,2319429532,1970614554,983940576,5823050166,5391712530,846242308,817374396,1501160496,1043871903,39096048,1774513984,144157773,6093982674,1425449346,4591962822,1470318152,608128248,7696223577,1754187174,2217952368,709743540,2042086911,2289252162,1524448719,5943696636,3408924096,977884186,122372397,385164095,3421535409,4833720966,7195706163,4099928664,819566937,64518856,504818058,201164544,8790649767,1646789736,2368009791,585164798,1544421726,714636494,2696295712,1327795000,7373691696,6900245112,1731111484,551455768,479131686,2086087507,7784007168,505584891,1595326472,4678425432,2800209536,6240521475,3969244584,3803549590,779666880,1789318526,2792351576,3494458080,6539140656,1124823942,1163519316,1070262334,259914912,2498818098,6261323067,5729277708,1430250276,1843038850,673525974,72068406,624068524,1740906318,612362580,8185042683,1835364852,1846023138,1318905154,4901946780,7068688110,2656614663,3071824973,3119820416,4071510058,1900657296,1121730928,4560711368,239962534,8968163373,134479116,3753521256,5558824474,827595612,3077382843,3909533054,41896159,4568187771,5820444584,567329506,5223495168,2248312472,826141084,4038743325,4767936756,6850872837,1682377490,3480746118,6759972562,716480215,454678772,2623540854,661847723,253078276,874345570,26483770,3796271845,1530511260,527158037,2984648508,7134239464,952465783,513163038,2863017351,4108903572,2390298358,3627886860,3309365005,5746128437,3359496700,1541188670,4089621837,4448025687,7012510712,860792412,2241477608,4876816041,2221727332,4087383704,239099960,1429977784,8248479336,1369135588,1265102145,1156175752,1687353745,5595619600,665396376,1112429916,2024769627,591568066,2635136604,4542853550,226701085,1120200855,316138236,868555212,1670991813,451463530,345714287,2265445440,6001383500,5751105976,3878164110,2609138264,484643324,1927714550,5265889853,5131882584,87986739,5303029188,1680733522,1293591940,246416989,5710070892,2237760749,520020517,1403656096,8955227097,2220593935,155713509,3249688545,466188732,312471400,2456177751,1798269432,5983508772,1873701369,2404024650,7926965256,6159348600,3141184190,1554610152,3742736220,1665482967,3380548074,742327440,1758013360,144863700,390969876,5069375682,5228046027,3720507056,4295880315,3277723660,1514266872,5268752766,1101771420,964375785,4310208120,8667981522,394666014,1234119144,2637627070,324813584,6845704912,1246451070,1408973420,2926645528,456025205,663630248,3397903312,1049487162,754396326,1865803664,2741318802,3073942739,6879754935,995272600,2345310604,9875960,164111800,3359833895,1587887976,1921521084,1493395938,541895718,857322413,11570289,5414804688,370246424,39492980,2882124755,7712309745,7371442480,1584905406,3151631250,2490061952,3662770272,3870090343,1232911366,232524482,4805783056,3469843805,4061623437,2149036568,7131520683,4695378240,1905608196,877607356,1118428815,1931017148,7160499520,900306234,681920798,186323710,883838998,4783660308,967376016,1463898531,50794745,1802984001,34219308,30975798,1329397092,6648407934,1026599040,2726148135,2542730280,1962847989,5489990874,1943301720,3838606572,2875035440,6738386305,4233499125,2159857490,3213995498,2438063369,301564844,5042640450,208668509,2110706139,3634148693,182918587,571243555,1718284852,210355602,437950289,5991105568,1047867147,1574385425,1347798850,2675495960,1093688280,2658093585,392608794,3861013440,4737195617,423294936,2675037070,1762724176,470408272,2369114648,5850816756,573992436,534014409,6585670175,1622193434,1976786800,1046439716,5132776376,3302292348,847964294,2645388495,2703320559,2649251712,731183615,1131142942,144108828,4339591620,1740967557,3536982728,93488742,1605841096,5753632044,151739568,957678144,3743109224,3019444504,1618749664,1294773244,566876793,274317694,4378015048,3897135423,622169982,1040639315,1903565352,3247827318,2605287276,1161576804,1677429080,764984256,1965473703,1875114500,1844872240,1335292399,2224169829,1044560004,424970550,3845067192,11897540,232126693,6275481072,3334392172,155669956,2686395516,1418586264,11325348,1044068460,846635046,1491842046,130097171,4276932345,883835107,3352044732,1003406852,411683040,3248787105,3061314291,2494963760,345426083,865481198,668183874,4129617762,1818189714,3863766056,1979688620,374415887,277488480,1275373008,1857121400,402549688,480726348,2447220496,1968992120,5394837455,1165556065,26662106,2895529960,565238307,745461612,6680454723,367153822,4253464620,543099356,2137415224,4837979293,2862880506,4652046994,822427722,4813858945,689560941,2406719884,1780087912,1861387726,5717363628,3818788710,2228311995,1264803027,4079388691,2721912003,2495721888,274647320,105968420,827661924,4987386456,527235966,964096482,1295998308,1645384832,1716687363,3083854570,4000435035,3535188700,683924058,143525134,4543048635,1658177868,7430276466,819953060,789526125,2619827135,1789022340,2508737670,2392304467,2633750460,454176054,1627103394,1850459988,732957597,802143833,300263392,4867231740,2846847540,323353832,2805568756,3391884474,2604839636,5238687160,1611125050,2918479392,3712948380,370815198,514984255,2693371581,622852023,1936596328,280265440,1863072644,1742362570,2130973611,2730132145,2237361480,3614615669,75821466,535955814,2726259900,1570095410,1846353315,1717089054,2724794680,376941252,3606097256,119709628,7613453214,216491536,1362490032,6688097184,1081706575,383930112,2123485368,1595595414,197328472,1818638382,533164737,1057197370,32440272,4587009679,857274536,546115595,501422875,722370688,1736874060,6338378032,1196474637,4593471696,2629347084,206405087,3250057748,4014062495,2296337240,1878486378,3368975704,441401368,15224457,1431733030,839612354,983128430,763302204,647640280,3875267735,2116652140,1774054740,5394526194,2241615576,173881884,4951480048,2481166276,866819202,881859324,907379760,266143136,907561597,2056597290,1986535450,103722392,3012578920,2533381984,4505176296,2378955800,1416072880,318082968,991784031,4283176437,5514066048,4494195372,3113182040,24289672,2396431472,2908889070,3759573097,2986962660,5837312915,4605068430,2282679699,720880266,967446069,3056023908,2549957499,6194057211,6696474372,6157069280,1860885710,4393712334,3334175865,891359500,1242221449,2358393064,2242885204,1947472930,156413053,4432450232,7037183853,4563061281,981789361,2259978025,2984073106,7168729500,6730788932,915942518,2762085123,4423159820,2312443095,5204661070,653583360,849111830,98493446,4641893289,202918975,753291298,1464791922,996052014,156519108,3689301300,5945163792,1821677834,2797029856,1178365436,8271406647,2584169160,5417319705,914613808,1113707888,1305555520,1083091884,1577702232,150792176,2085838432,1477205788,3078803772,4616003231,5327516719,2433117618,2137064295,2302099836,1561955806,1126880186,2821575480,3366915464,6225250410,3898522992,2238724146,648267030,2974230904,2914917612,238156516,4124365880,6932818872,274062231,960085972,409346824,2855221749,6702211112,4723347282,1424485676,2715190194,3429514592,299845040,1999537474,381343172,2344721045,1697353425,1672760676,850744465,5295841800,174896014,487029006,4889870358,3445577152,4067956032,1439628570,2524683843,6413592507,97843206,1165620668,849074485,666655218,4556994237,3560939548,2911878168,1641498992,974705720,180019230,4154776326,5218540705,4554484025,297481789,2946396740,985099867,3190875387,1323614774,4242106422,208543055,7942734008,86768805,568839316,150978777,54091890,2650975077,5029775847,203797768,3981810573,3045650676,227351807,63149446,4275862632,86685687,34366254,5529184424,835595022,1714610154,2083572652,5866145316,479818308,2383901370,1676912188,538224604,1690472886,599264918,845814304,2133414090,3777274791,1365868696,4381135640,1016900265,949426507,1886272611,643954514,72451776,4091496954,3585191036,2169661190,4880852190,3125494145,571810804,5169920292,2421410640,3229844820,477159015,495713932,652345770,1245696585,2457979464,4014476075,1062760512,2045309589,587881311,2701802380,1609220540,2787399405,1267692801,1163391746,7163951592,317168652,315237111,363305541,904928814,225624555,695740126,2733877914,2397346365,2703338,342236392,2416683258,1987071625,2207350205,653729826,4521152655,2096273817,1386243425,288646422,2117917060,1017833836,5462404662,1468154064,5316441954,2861281990,585277410,3381908676,5372746884,726868678,2061994980,1116221958,5332672152,738524218,6239664696,1502488906,1503244638,666441822,544306448,3580625744,447933263,143798852,6569446992,2554700939,970357815,3968508292,322205786,2012557560,2108278752,301492452,3146813016,538572691,4790226230,4083684990,4554526290,7461914796,6819918948,3403757040,2518550480,7642456480,2706849464,2534506374,697909812,350709445,831084821,571924708,4805144344,5624999550,4266216438,3434471520,2956210296,1729506636,593178579,7294956984,1289505838,1721917995,3811610760,2485639096,7236783456,568664099,4336554312,722530260,2055263651,1340306656,990205874,8234416,3372223024,483082191,2393998243,304161011,2698955360,151368148,5591742918,6338960712,374085936,894070836,1884819252,1333250982,5868432822,4098878335,4790216018,2112764580,88814121,614371706,1031804642,6624502444,5496667547,137392110,1176118885,4729693152,5273662344,429049844,4779116888,4532605861,3083544184,5507114576,1240876064,1975505320,18025426,4915851138,1503567414,5021835088,632402122,4019695520,4712360262,1345882102,488170143,942594112,2508424776,5880809760,2197537524,3006385884,338679432,278994150,1139501120,1991115775,1911250650,3034004728,236277329,4550562471,3089856512,852634989,1818493880,308288526,320868994,819277127,714388724,4250526752,608102236,1294144460,6537004695,1063659186,792674397,1601314328,990446093,1899414888,4452131742,1398019995,2422725804,2533733692,33032196,972486764,3257987600,6404951152,4582523472,3281127520,14107136,1789727350,2853376773,2622175803,1406809704,219706719,2509997996,6087744912,1408458345,684995952,3473990565,2769798672,1890005256,282463152,97464868,2434580036,862629774,1508478690,950887497,5359324266,1651161496,2928163360,3180883086,3326877955,932304708,1863247444,5515519728,2661879249,887173400,4670553902,1538777421,4917907113,3406752138,3800569376,8760210498,395046344,567065231,2686108572,2633155220,5740837774,367849863,1352375388,2608451127,288880974,1154581360,565871492,294464764,975556161,2406329320,3103486890,219235802,1541568756,4995495708,836860302,963153372,2849970665,5746351648,2049342372,4720081662,97645752,1208770895,217324209,8395505325,1536888848,4953763557,7290381060,5843636070,1739349836,3010828832,3377988855,910081344,2497859136,3169496420,645014010,3295671560,874712451,3724533480,2011322928,5941719455,6709871349,724079560,910592186,47494170,1184469586,817339822,4047828526,2997586288,5243849688,1003072725,4237380351,383128314,4902255348,918434937,3857404474,177408501,283698002,2585227404,1688250920,4891279275,605004135,2764688430,4237707392,2857363380,3925452515,4004356445,946639402,2515582720,1944373172,845266096,4814099112,11178312,4273463545,547857888,329517258,1447376748,3178103336,4252775992,3688780038,362337870,1896008178,775934992,1396350160,52980732,2630281592,2877803930,3492617200,4934735094,1507263084,4288501335,5890428531,2373596532,671936088,1486949460,1060004276,7414118082,1996433764,10165284,1112241534,4293100840,470982432,6152475637,7750804410,162129735,2476959052,1070243526,456839884,1029699146,3730415796,4886615052,1662723720,757983480,387765264,2008012638,238611556,1134276360,3873464688,479718226,2691422388,2913542384,724136380,2632630716,2612331610,3278546844,4740352165,1590436264,4525067493,366769986,3324558566,1852608942,8145987570,4335009180,2367232152,2582306604,484313498,683832654,18058614,890768768,2553209652,1333199637,2958397632,1670996214,2888121828,5926643940,2497179251,291144210,2922904041,176012375,858125114,4779686270,2701227328,5468324787,904298661,2275018832,4698322752,249055413,98362696,3626997488,141909192,528435723,6808312521,6039470160,1478972544,243884502,126529734,3039851352,3887027746,1582785624,1084245618,3813471240,1430189217,2943649098,976485429,4717947051,961029502,925111504,3153159384,4205093568,979001895,3066331330,3284681712,4059445836,2897235507,2161145319,2259121890,684775422,4867099174,2686001105,6960170277,5732699352,321331695,416318434,1905819560,326943144,5557213872,969436272,1296879076,3116234740,774405660,3322338670,5245710092,5096962808,2185374855,1689714645,6425420704,4426067745,13567788,4317971778,704731817,1282118558,3716071146,2016384753,418528430,5387632824,3967916830,4621281546,6537564936,836422537,5241611340,2639091432,809447656,5609827014,5909746332,4536190176,1551138344,1935631170,1331325074,320911124,6466227597,378563064,1735629868,1611796836,49044780,1097990880,6432998460,2339859040,6003563120,2272282575,682495320,5471732756,1087542764,2652113330,1489671148,812079084,2295282447,1410205620,7613455232,519882829,2826193728,1613697780,3334591420,1449747912,30508986,504786948,1461023949,1648596530,938444860,7815915232,6207293072,21183856,1987525854,1386437215,499540334,1953284648,425203470,745818950,1697122940,8811013878,1445952935,3800927632,1001122299,863143085,1588773193,288638344,358193176,3114946155,2613122775,152445132,992278787,562502395,2360717958,1134539574,7805123968,18719016,6807163563,6906888704,1813050726,735474956,194104734,2582822757,2189852608,2233389595,1761290626,7126156960,2295288630,865929957,495848550,167702034,1633428272,68613666,1500145082,4250588545,903397588,3667127600,376577663,1318329636,3570807492,848413526,925985410,2293090434,7872026664,379727103,2024047068,1117500530,3240578691,4475609555,4345049541,5719656278,1549710870,6815008216,144044628,166313484,1315096616,1131377046,4489521057,2746445040,452295825,4205429115,847437525,2804815300,483657837,6392534274,2777773125,2231250084,4496252730,4408051825,847944021,725554129,369247704,1381529214,3296969816,478953226,3125184184,148998325,5742989934,1451681361,1574370110,2285578824,2259865300,5050398606,1107981475,1675235807,1907676576,5472313188,7329580016,168944890,5459328903,2177445685,5168796396,3232992032,489537392,206845742,587303220,271386684,281756176,1489759705,5468198598,1399115612,578973600,5143104560,4630613988,284726073,229738712,2905146666,2350812768,1084897636,639056805,2374127577,1016029388,1447507362,4065519960,493146397,5008629633,1882602655,521075016,492742854,2394781515,1729069712,6886381537,1525721886,820283090,5859285803,3731942536,3645219750,6959593368,2472288816,879042225,2934827424,4774513077,822718773,1109440160,645121088,1049808459,4174613009,232654904,1607319535,746775840,5548787979,7880852997,2471571220,259853435,7785082976,623487376,118405793,2943762732,768480426,85085037,3693007638,1755702506,2696680053,2195113203,7266972519,6679305248,3891087084,2741214894,198914913,4305858000,1740482130,1328641638,1544818910,1959889128,803881530,208159518,975773135,3773112144,2074248816,4509336840,3320677552,4086104260,4117549610,3813207296,2200782591,877901805,496184238,205186066,2378533122,865205760,2417624610,2305191126,403210276,5355833040,1288897925,3877054237,1137557130,5569566228,1228070346,25844447,6229465767,10629198,4840102266,1110724542,1835795160,992257364,484827802,2189213784,757300377,2593670860,634648439,2831229884,1353392110,3564879948,50910008,1131802062,2830481204,623993898,537647964,8542623978,1584008746,1971974440,1590482979,1827373908,488848335,3330150369,3354076896,3566117870,3149900684,849616605,1831661310,4048069770,404200163,715737605,2003038605,2612266779,569881832,2511923244,6525234040,453057045,4825214464,3490236666,1890058854,1214114370,560862272,1059692104,1000720144,3320525575,200125908,168285470,5784660684,5702771550,7198697160,3297041181,1600936336,714288276,1071022167,3206497602,1134107220,172134379,97960344,4800975135,842939298,4467795876,2196952954,2914781891,334693355,2420806164,1516567890,6251961096,2404413714,7965578576,398737199,1348956604,782117690,7634964258,773164455,6807534912,3422911576,2423889024,5403938520,6002074876,4637870865,3815959028,2851956747,290527830,1959652518,4060354392,172941078,715452969,3393402520,3795593285,1388086890,420424197,1031465916,826957162,3349322948,6984105320,4938192660,3130164120,2117810885,3691834345,6091857774,2563924768,1619900541,55613860,729326144,1111239225,1097194470,4944248395,2465236374,6431158384,651394612,3108724062,6596433040,611223652,1132008626,846901484,3432267536,1157863986,4698030702,2295980709,3117811904,683043210,4823942760,5735219658,2445119061,5244109024,1497155702,3792210224,739365672,2958066009,4964272455,6678776034,135438831,956821111,3970060872,938089168,874413560,736016166,3001200956,278365438,298375151,2752008669,409650572,6741451283,4801152185,8803735389,3849787720,170902084,643538530,757218002,1494586354,100118907,698111235,799323855,2549162196,6067393488,1016266592,6766305048,1882749987,4823892774,3877684573,3471141240,2013872355,1512593288,843864495,4453795989,3039162280,2609742100,3419273508,2837176512,6090328209,6081807339,2994067068,3788797184,781342835,92386896,2116691512,584312448,4974728046,249798390,2202323664,5386179123,72776022,3067887584,554433382,75846600,7485875118,543189464,2672484570,2193222416,1074652425,2218725057,2693121279,1540392996,3296829700,3177827000,92187213,6692456260,5810754702,136603542,5350230956,1782741183,2244052032,381798547,818588732,2515510104,76004173,5235250995,3210203635,875080068,773940651,2855535116,633723224,1058243450,754907398,4218190428,935706528,2762136276,681617462,8430589719,4933845252,111503863,3734057040,748442478,1351506040,3175256616,2908198908,222919550,2776748454,3686848944,324784048,1692474855,2526786666,2873577480,2980881375,5438706714,1817189091,775768789,828854247,4603459679,1826339463,533968991,4963421346,3456213960,727899705,2576832636,1913894826,6055229616,2249077005,3947512614,3767519875,3726024570,1153708258,848152508,5594496498,109618209,1868238760,1704613941,967067163,109321143,898871000,2013032204,5406710808,2163873400,6339142404,1393753680,2869698567,955809961,1480088584,784701825,2978860432,811940788,4386922456,4049040107,2357257203,465681006,4547785190,1991324856,1074999742,6463229184,5087311695,1488240978,593289970,591038106,3676499200,35052244,577832803,243988958,7464470364,3378677200,2030833434,2700348616,2002699836,2825846082,613482227,875822395,493134301,7187750864,1048662078,241227216,1273994127,5351033592,1955030262,2568234376,1509416560,449678316,6684745298,638169598,433479221,1565800888,4933961168,1978310860,2149963701,4427870283,1981319064,430199592,3453635770,589492701,2454978360,2381255305,1914568232,4670570024,601221108,2598149463,2331879200,2747289600,1503266450,3246354636,1957815522,448926552,1033922226,708544579,3761458578,198521757,2053130262,988961186,5082366576,109285762,3998620144,2650799830,5387343162,1562928466,2189140555,4784707186,1635002868,1375565110,2284697856,3505277080,1214033055,3176885116,421758186,8466306,620044317,4331676894,1455809104,745639426,3844035696,1116026270,916798528,979389753,3761710632,1295107947,4442560452,743454544,316405898,1989300676,4569400422,1720462287,5564650650,4456230604,490384552,765535072,654758976,2067144015,1364613216,3694795728,4939344112,3186070342,2090224972,1062380188,2820185550,1025218061,4154315832,5189057405,7296380550,5528574548,1545821045,5854152408,3906044360,798618845,1262174010,793630234,4427223456,605377407,3772653156,1934173244,4538731728,305992084,3996651000,4587801942,1198485276,3617886344,2649300997,961021198,270772396,1900259532,2683710924,3518130350,2244485037,4180636764,3025214010,66652524,4937729544,1774663416,1602000224,389365157,2996143080,2125758510,2123912838,3127951200,2661063573,1319136624,4288098456,5146912246,1785467204,97064300,1366985844,3455145680,981121401,5130056994,8563368168,1493767287,3602305440,6494980032,3067678350,2281525408,6384532161,1848535135,389369166,1971966000,4780089208,749131521,34941279,4868604354,2480300346,1972882233,5302002888,3184077512,2846091162,578981811,3330381280,2905663401,1827096978,2176805775,3374862024,98345712,173744616,398809660,549522258,1355083513,3319582088,241913580,1676016825,188164965,2857348928,155022498,17600839,743187160,1663038722,4188529608,1296816272,492433200,29271336,5315831969,8128430082,1527150885,424615808,1852238786,372119932,5176996515,1683302976,4807608570,5241497152,1918103912,1148334966,2263756168,2287282172,4481454496,74011599,6642122184,5282182752,3006897534,650958440,2610001044,4233986235,2825709267,685708156,3160075074,1106725808,21466802,874655836,2563542898,5802601578,5910954791,13478868,6694980156,2606769740,2724547216,2224315050,5436340674,2963689155,213053196,814149105,2595917611,8253766305,6611800185,2074523034,2402395338,1270873971,2674934868,5991525491,419111512,360071898,3024544248,34233418,1439244672,2913810771,573011241,3436292720,1786231016,6352720368,933452712,27323931,808880180,1716056892,61174179,1774867605,1588052744,1496052850,8711491410,3279794196,7651733928,4416477050,1538733885,1871507824,7685923080,549715593,1426051860,458082527,685580871,485611823,357247062,1720099768,1420702700,4602000494,2017823484,157680618,4599655368,4854742200,205432694,5498616231,3040832625,1497817752,817272456,747682893,7022191168,5946870015,638865682,1069419894,37077440,2565090783,6066907479,996318028,1658205595,5977123170,1145558834,190888884,891480143,1245193503,2748809816,2385902424,669182976,742300268,7020141912,899878008,2721894249,626806020,2073268188,963691701,969041598,2863136080,2019938632,2537022032,7595332812,4161628200,1810985960,1968250005,1691635794,7856163256,5377116438,2385687156,709143692,876577394,3446518747,1154950796,2547644346,1273432857,2588329060,8585848368,2193232329,6982631312,1137122320,4536704776,5201666491,762206878,2246938305,53037470,3256107525,2352436980,4665314405,2989132731,2239683096,2533484384,5377214045,569592052,651196348,2116952793,1934850090,3029646752,433890,8717457465,3752522790,191070206,1694637086,2429330868,3497434392,4820873825,6360627618,3667171156,587401917,703723593,1064212605,5054387982,961904306,4049438575,204739114,4426126257,224458660,5865951846,4156940892,3813942105,434155616,3697840860,2496466176,2754732033,6237700578,4948632522,6160350840,813328004,7761489720,1410879816,5686348416,3519212276,2906080700,2333868901,2062378683,2015705376,351692194,3975041205,6276669133,904258530,2317096044,2968016652,5003807274,675898936,880788456,2696381580,1392049078,534005656,5566887718,124956507,1610083008,5504257296,206330304,1356989424,3679027096,2176859025,1560613504,754625080,3744412008,581593793,6791805656,943962896,6097144770,8543614680,1013214368,2112034086,344883696,674249562,415933534,669144710,1786649390,1374552081,2664437600,4758563403,251039870,606506010,1835728190,4960280155,579326744,54695700,3344819572,6124477604,5204298708,4662384492,3391223484,1657410194,5355318444,1282368518,3184608753,175584364,2812432920,4539220217,29889618,4770840384,1872452524,1204920142,957751755,1875641990,4321411024,212246235,2163764000,3131404332,4043924115,828805514,705080751,2012639760,103171028,671987272,5525145252,975373860,2901504140,1657188810,5682892887,5950825068,2301036654,71192909,232811509,3553555404,2510831733,7907300888,1133719968,2588837796,2157843664,7238354553,384967000,3064259946,943731495,1565185576,2970493305,2713765596,362812674,1424210000,414252826,133006041,2645576108,945339846,1425845744,6986777385,1476500550,1900792944,263006866,2367330912,1454032,848849290,1832251904,293905396,511026228,5744052642,3208471376,5853980440,1941642235,986292918,1900483828,4277323584,867970299,6268883715,90361818,295586682,525602466,4222328790,3399313744,1061684092,3356642422,2565730065,9571891,4210482199,950060379,79938130,3719722800,2085782625,7481072256,4432704489,493652118,4688329668,1505352272,363570581,4811583245,1997514892,3340317135,5949678384,490158388,3607666256,6859159056,2815542132,5158757616,288324488,7961714528,2756429712,328338216,1404747848,1742131629,810780042,1776986350,822641840,1217556058,2661869462,3099397004,4397762259,1016735935,4040481315,3612194523,4396667517,1951225900,708102052,2757443007,872877108,1055593908,2299138695,895277504,5578636866,538357762,2255134374,2141336268,1996167440,3518832568,344890128,521770293,1426668090,5242081866,768834855,722296027,1153058355,15582060,5908841736,1947532440,275642360,1280069290,253099536,2112167275,622962840,206987060,1778144350,5822355512,638024850,532677933,202688096,3716252771,5420372922,1979598352,1017456249,373466363,6130516672,44769834,871467796,6627702624,370149952,98191462,3570074608,9480249,4858476464,454218378,600221312,5835696656,1530826809,7805262726,3527041986,1402820352,2849802508,1229266944,2998471920,741919224,916530648,28819212,3859681570,5550462288,1542815235,783982346,3358996278,985242822,1072397240,211588623,1783701428,4281499096,1416780043,607814956,2925796629,846948654,373445144,3102487263,5681238984,4590573784,1821841575,2415848844,5420954457,123803975,982043608,2935338447,273713328,910046869,1600378166,2459171016,4417181032,1209656398,798188296,2767635865,2502021816,1838628462,2494858900,6927018561,6423285883,705725300,5956179390,2387102382,2300375924,532685908,3026211726,870710021,2994592194,196906794,1924971717,363400804,1594298610,3490251624,295644000,5061705504,3759071844,627083250,199834968,5583869820,3915197629,271570782,926480873,1057631812,6702427788,2562837939,4807569635,3347303805,4214848275,6187163715,8489995677,1415645255,1918400972,2843177187,1023036996,556745214,5591138000,527082680,1750159400,346249190,8706945213,3858372420,617881877,1037887500,1932759806,4790961987,2967671151,3297997620,5432013090,2185761525,2116996044,1346938065,5676384959,818774235,515650458,735933420,1087147380,1371674966,6610518240,14358360,2836857150,890810603,2966987508,418934439,167125950,1935736468,448379716,582309188,4857481940,927777584,456710319,6334522696,3917772340,390088026,916023647,3438032264,6939375992,7793104288,4114416288,3052969736,1686882150,5923136568,1728499980,1575213624,2203509003,286386456,1401860250,2543750776,2594911443,715970195,896876964,164350212,178647822,1531690848,3454411816,221202110,871618518,6200570898,556078586,4233341664,4425608460,2900995461,321780154,3819108118,2954803482,2013786675,911477791,260399829,1325787666,6152417472,3604793515,6688924256,2619399936,2424062892,2762221556,57617960,1012576956,943643484,1027467552,301374614,929946631,536064908,666547194,2964161288,1682669835,766878024,1965047880,1767764986,341080560,2668984962,687020032,1085679612,226278618,1104621240,888646269,2046096012,301210305,931076235,5503867074,2389656140,1919000952,1272941288,3058914625,2312800758,4346169582,694060880,1484288204,4937939240,4942042938,4594446066,866053085,8403449409,607414460,1632298029,2316431621,1205552400,894453928,2931682320,754210302,843349563,254615316,576384282,177928542,2851431621,4114899110,836391000,151787490,504907879,5332845864,5365919328,5206378488,2835728463,8451765504,164892232,1309651950,1339290708,3288581205,8264136924,2778645280,1865464298,5729551336,1087512606,218674642,1223362509,685818088,1191142512,3240886184,336024961,63342486,1280353581,4174259072,6903032185,562473556,6378191408,942479259,818669499,2389328264,3029257068,2355775312,719563964,575792084,1497535676,128423706,180704672,3022442208,627174052,1994121600,772228492,330990573,2313451842,4106104465,4830551450,838268718,1196972943,7139843208,356429610,149553061,196986230,1097626686,4855306974,4524051632,160929800,402814452,1951278219,1218837554,4485800832,2053827531,2459094636,4988983535,2732482512,344490959,1480227672,668392062,1241092362,4989530185,689592654,5640867393,4668745060,1367119250,875094448,2598597144,151103057,8749953423,122207658,1964290686,2574895536,104311674,338128871,1785765284,641575122,5995207267,2396495645,1254785858,1000598694,3342801900,1785271146,254347116,20707520,499883750,348553597,663344491,2759089557,1081672482,2732834643,1578236786,2489085582,2081722559,2084314940,4279285755,1080896448,3698017812,4883917024,866940740,3985791172,1000993275,1731942520,1391685858,2272253270,333347220,1837982559,6004863214,578082864,868509342,3922799545,2865741448,100528553,600303786,2858738253,567298022,3638090204,849752632,2201174682,1764205260,1996443828,3723747960,2988686248,2150554038,1895145888,1549332976,3158426334,525421416,3586341951,1279630125,2641430559,387129922,117459177,707107956,18202569,268509264,848805961,2778886536,4512341045,2462987796,786491161,1727977926,773964424,3071823384,3282855066,555274002,1395629661,5295209003,4089750660,1734374488,7446909699,152249642,3172518314,840854845,3552959252,245981013,117295014,642894917,1862874232,4293013060,3867033160,866456661,1243052024,2445538860,2123848264,2163761131,1497235415,632946872,1933389536,25597486,1119581702,6040980045,249844348,1215401436,4737551256,1541689734,711713056,2845700772,5750358726,1531185162,2861805417,2560410975,122049864,7624795986,1915861317,737390319,573713776,1188775424,2296944485,1441850260,392157086,539812608,2729634663,684227236,40587728,1000604840,1698326552,5215966536,1421930814,7746923043,2313610655,3422616824,3611576140,1530637940,6898328402,795009516,104539603,3081657032,2144911535,952220380,149731124,461113886,5138855841,627007798,3791104744,5273501958,1074461292,3939387249,4845110040,2808286533,2069928588,4604751688,332905412,5836574673,2505643936,7390552842,3662169186,1932044105,1676487355,215127730,3853142868,386028170,5396615559,5704829048,3228263055,2552752908,1474636173,626482864,1266507536,1275205603,1699231346,5893131622,392522520,483292706,455849940,646717640,1495933994,3814302858,694236234,527531337,909738150,2068841142,7691067016,6507276651,1968313960,4479077032,1881646038,100965562,239198346,8175153906,390354530,2961669557,1190625360,6524077482,105078156,916773905,6079805711,223063309,1392469510,1686069452,1445383424,1048464999,2445664880,1518708420,3922578396,1128567504,2146189234,926770426,4082610475,4384924789,3012911420,824113396,679483938,1525229000,1864178022,5555315088,4995409440,4776099650,732449966,746329244,2244745128,1570303217,5979734840,168016085,6339404264,2227293408,3374773890,1717713200,1035529456,1536762582,231259568,1629212302,637911324,827875689,87371455,8491155426,2617675556,618197916,2872873521,557954056,2451311772,7207610265,581282893,2052166132,173465956,4543119528,2205755433,1802166478,34475100,231170600,126164037,1953161496,4742493220,1172378995,438457929,3846517728,3197380950,1160062316,1734581696,1285647468,2511761346,1256475550,5386531717,373375740,3212810174,1151208834,243650486,2407483710,484221752,912437124,973219990,6810853041,183153032,5688730376,1666877335,6292515866,2066267613,803466784,2148406992,5284022779,2393876076,3730426380,5310299712,1829153376,2581834795,7549276040,2572571745,560261917,44051344,55173178,3510012560,1068749970,4586935434,744584792,351103704,3834658114,651829380,5937683220,845274430,4583410496,1226196465,796396724,1424004836,7563093867,1723202025,1608065912,714096472,2961775100,1392899694,1236003155,1537531705,1803086660,564044648,796798005,1922360185,6883985200,649489155,4338177680,851950320,321597361,241346384,2560527228,2937939745,8436927402,2470348029,1644663742,3150194616,210830688,4090467447,59506410,4397424093,167899200,550109169,155666500,107267094,390388548,28499964,1839396146,1449510834,643261529,3736043271,1346374120,3481758092,210149465,3987969348,1623135438,1603940130,4361923050,7806390944,926113831,2525284200,2670844604,1097795442,1026780486,810823856,6931682408,388766987,909048537,2517010680,4305838320,2211717768,587919395,4986561465,964128312,5008597098,2210768888,1471065480,1485649598,2620420784,416667573,2988501612,5512857392,501028347,3094590918,1057907179,253573702,458684124,1401556632,1898644422,1192474281,1233084452,953860362,540323755,141223093,986878233,1569378076,6148512153,2031103774,6361309048,1567849746,565407471,8726584383,1412067951,136357595,2686097760,837256282,2254606104,1392361646,2891283344,736197530,2457824816,5589553912,1177540794,1043115050,57508722,575725055,593543252,4958889762,2652050976,361468178,184350068,684559965,1091514663,2156987529,684539696,160190093,6467220162,40397970,129477648,147315100,1824411069,2778254020,734329970,565005280,8184447945,5742441444,2699969604,454523802,540275655,409729460,4956335280,5648053365,2841960104,2016715295,1084349370,2360918928,2399602779,919873512,1384409520,1777582200,6866001176,22465261,1234736781,3019294448,2829630681,391941356,3349964292,2970285309,4422815145,2934606845,4803908886,862088307,1718042380,3658405635,3095552332,2110073584,872798544,7959083680,1471476965,1261283787,594956597,6652508784,5974124992,6829592752,111150606,1881671820,2776145658,512952556,3193475344,280507698,4822559105,4953838211,5410042344,3795003205,1250710977,1246054192,5378504736,1330671408,1531741104,1756026102,3602531898,3631032864,622013062,1105350656,4983470344,2749341222,1488323010,6230350833,1153146717,635140409,6061192065,19587814,1336765230,2919001960,970931245,458745343,2337318795,898871868,732769296,3759677586,748776828,3497591816,3681425664,948434476,1886039031,355486009,1209317856,2777996236,421691632,8827349085,4875260033,1392834180,4761937467,1303849722,5302267901,2628110136,2500301484,1938299328,5625913181,302976256,416972380,4100205625,84408564,3924183933,5630707593,503258564,6192212652,766153890,1965302725,46687523,1564240113,262517420,3783539920,7714184706,1962101334,709350872,211468515,2670279195,621401315,228990111,1468657460,1591979838,336533248,1870577286,23468384,409186374,308258607,288144113,269561082,2042734870,1121637470,271899,878071332,1319938800,3156411992,505801522,2424373836,2608350800,1088019441,211841823,2769847698,2680995123,5465749554,3132201876,1888868234,7989311912,2355006132,363932690,7144575416,950848970,1194010419,3877732965,105377550,3790179570,353063841,1599763204,1408092226,6031312248,6673908423,3111073680,3758930664,1903901802,31145524,3033292980,835655114,3829757628,3961922584,2924506566,3764871728,4851976212,3958327836,2329172007,401952888,417619730,516227746,339210404,105454490,290117600,4595333106,4296595072,7287240192,4835977404,1490347288,3500302915,1127639608,2299543059,175079568,836982984,925924085,5433901480,514698726,265886846,5826226212,1991666670,245582698,832748136,1398279850,5358162418,524558625,2530476579,5511437064,5961578203,457287420,219757636,1786255716,1293557306,1519902860,271247816,205404585,883610254,6895910848,2192442420,171552463,4051013665,2726550108,2889679432,784945436,6736130379,7356776904,453685257,403937865,152444595,1735820639,1190053062,4828340892,551221034,1109363290,4541166260,4165278360,3123739815,1967481459,5584820328,1063536660,2120774194,3587135112,3474880976,3748899608,3628781684,4421947056,79345342,5651286998,435168690,466410186,580717014,774966645,715007848,1194624858,2331680859,733568454,804345648,436154899,1895102362,1593377073,83501904,2427771795,932926353,168686313,2033742516,4269074024,1083051774,3087938656,2355759921,2412021720,4325392169,736643313,3161859827,2615963410,575481728,2088923994,2181795833,1117693900,2702395896,2038162885,5475359720,695877914,145386824,1033555464,5400802304,4425738548,1707076170,2494248525,1546780652,2585674420,979297069,83476890,661280930,7758198252,517096171,403579202,905951031,8004472686,6589946592,2293406404,50188710,1896716703,1108750245,914288613,6763063491,2783481465,925065280,433412070,1111779346,8736598638,5948672028,4928973030,3048060324,2592331587,7596827820,3481332192,4554482664,1376522010,400994862,3944903753,3735470384,1234304736,4822774650,2020499253,6165057157,794180637,1307846844,487724388,2623869616,2922833721,5286071196,2978487820,808644530,1985323326,980568584,5726282768,3167173212,3621284495,1162918841,793197568,1964892732,552315016,2873343843,2589925716,2022399405,930060096,3735201078,2817753084,2355626265,2926677788,1131662315,4464525222,4175835734,119883865,531284274,513281683,3231165108,4343880755,837124446,4847309173,2505041476,4324370820,3642071048,2132175864,2438268552,1571523355,4055145010,3100090645,658587958,1892640568,2138816705,8011615608,611959206,5788299582,663543525,1080286904,131340108,798162075,464405514,2269486280,4871817928,3131142300,470880768,2044753776,247073085,1654359274,1751855625,2772493205,585990090,990724916,1703030578,3982212276,6772004640,5382196038,5908133655,1152272202,1232671326,3250743330,219138558,1662312728,256243656,1793242285,4999493220,1600380028,901281224,894305082,324770589,230462248,36471720,3249705960,7492526024,3968245848,697647198,363815937,6763521447,2735495922,4807443440,1000990534,4182010026,1746454497,3302633476,1599711628,3652347224,3270451845,6341593736,3570609636,2282270709,531472999,1250251435,473929636,172448582,4737813164,1478079483,1369201508,1244823348,4872575274,4527114936,1573981932,826576807,658050610,339508689,2971769472,857112872,6874647976,1509851390,3884694712,792431286,121798056,4593473004,814377078,3220476280,660828938,4856965050,512864930,3695228345,7657728102,6380454880,3284372952,2370337550,2918081320,3380319918,3297112980,329683428,5062495963,4941639352,475607598,4737935295,2820608,5676630786,2047843204,1748991717,38482412,1079882132,81804362,1244655327,6011721168,2871371004,3791735696,1392040168,3786337260,164620224,3118240560,2285562584,4765611984,1780958229,3867323634,3355631604,588089964,3874340624,1428939592,2391905035,4479803130,796258309,495856295,1474654588,752634056,3190621938,652462300,4292963883,1224381219,704138848,118890750,3465503244,5035645020,227148756,2223919728,4010676180,2277328152,1658866447,6095950578,1734800850,849498935,4283703228,769009515,2306229258,513841761,2942461555,4892529900,5941177428,1156411989,700969850,508674860,3367518222,5915233269,719298456,868507686,6983938367,46508730,640748336,1057240676,605705301,4521104604,1654662597,2300549380,3830912730,4989138684,8125450911,7439746744,2798346789,934062391,3809244327,1815188694,2549437020,6189568074,1958226654,3553957488,304127448,53165575,4498182450,837250608,2357044955,1156606224,730857078,3792891000,1663653318,1174039920,4588076112,541036030,7294342698,1974856011,405646360,1808100492,4148956588,1351387794,2275405699,1503919890,5246321096,5090636664,2999826760,1658675571,708589389,4732484344,181494913,6160212045,2872809125,8653826961,779884970,2065854016,5140670823,3768365900,1535373420,8694671589,1249320555,248703468,4818957125,2965932618,1887166884,2195929274,3516403456,1737370178,2931296538,1085886254,2248669923,352544145,5449612203,1440484890,1730378489,3160653321,3024416796,6624483144,251178240,1866748767,3509660376,2678009152,1058998906,2449809828,1074554000,3250133640,2265125540,472072599,2896079510,435652971,5182854090,526991816,609775252,4619471910,74125416,3966209044,4107035394,2341340004,498476140,5545427426,3565706504,762152245,5157349050,3790904100,5925125898,4710446694,4092625866,503439280,2363167116,4121981775,224544789,4445396490,1004662836,3071629169,2965803974,1750071567,555756100,2646600198,2393995226,4634306658,1804957497,1228183026,3561031964,5410345080,1153401893,5677478577,3247754090,5235373224,918771954,981399744,2443477545,2491127502,7581058912,1494144140,121218435,5441081040,1590607856,141874420,2581709316,363747360,624833904,3784440875,662583944,1328362628,1328767875,1364652562,246175042,171737365,2718321845,597555282,4230901728,1930710500,387867607,780149968,324940984,1608574499,2150389260,3684437232,1860343011,4898682625,708926592,3826212696,3429812470,1031381145,2200843932,1207670792,1636305580,1222158945,5491009118,4927438926,4424177600,643285782,1545544264,1762856464,1992333114,338056299,835928188,334237918,3157037272,2600102157,607347823,1420884384,2799433827,5244447468,1840139636,2076039550,382474435,4802563048,178025100,295995959,4482372762,968068312,4400404290,2591034705,5487993568,4254904759,6265353825,266205643,1741825956,5423843621,7499744154,1291322382,572818744,2975698340,4702496712,914874767,2098246713,1537219112,5305520916,281737691,33816880,415544212,1951807808,1702075689,2055898299,1594191204,758072189,4856617827,4709029932,911209103,1037017014,2325622491,559712895,2744792253,2616570150,1654018954,2424515816,228351224,125094400,5200555167,308028136,4603162770,2585741364,4716664074,4390164336,4568631534,5492823651,4854809080,1686935385,1162756476,1562182896,303865037,1325999724,1658100810,6099055179,6402375396,3652193896,569798616,375441579,1128933844,637797226,695372874,2136775170,719753530,452971809,1148329176,2553722994,5252161257,781711072,499324887,642813030,2024911857,1326282128,3334573352,2085032928,1181632750,2022419350,5361405992,491151604,612911982,4863318066,1233206622,2300351630,2865184440,811596414,204535244,4547706957,3997800756,992399832,1354903896,1262727935,1919081799,113235171,1179242394,2690608548,416462370,147586125,1052576256,45224140,879479616,1085069679,656258024,2866122273,244153754,199381032,6228922761,566705085,2623646193,1545834865,4836773312,850143336,2992871160,4031956621,4633251539,704112330,736804105,5595571098,501348456,476239600,110450976,1891158106,1931331124,2752864980,966361179,693424472,2662287089,5985310770,2689381345,623427376,7937045832,585521806,2322847055,897354888,3955631656,981340652,3327812720,2651312817,6324176733,7956382608,6914748888,3712633428,1272672201,908820750,391181512,21842498,525950256,2695697403,466692378,1628539746,2858515002,2638187049,21640473,1891124112,3139563708,4957358150,4167663575,810416016,3826786764,2516391496,782076388,527352463,987113394,585422685,1537171252,6481998207,4742933490,6427468008,836086176,1351842054,1995769580,6947336655,2125653120,149186369,7158930615,727654535,1984019780,4937972004,350272758,419120818,6310001331,3087559158,8452889064,3600496396,1589775592,406994934,800969764,2288849688,402898728,409217247,7090627336,116882264,3127998664,1384207888,3466436055,3389546944,2857740907,2869695486,8596055358,283036632,2107440513,134440902,58128945,7771282136,69594488,2091887344,5531037393,401819412,3336878750,1965940226,4221313572,1731675254,2274701176,497805052,2317523358,770847928,1705323578,2535561160,3105728950,546950690,2133122670,1369790236,4725180082,91210795,1369350135,722805830,2727594680,2775345852,1019514314,866484465,1843348137,2240161864,584889227,590270624,4158191776,402376394,4122945108,3846755408,4986107637,3025305928,6025736376,1339368066,3905889100,4451849360,6908422129,1962944742,6881337729,888040688,899488222,5017290803,7861404352,1053591102,1414688834,323203149,3491456385,2078082560,2413960866,2368680500,3889411981,2775753792,3439274032,493413519,1221351330,3382353736,439102793,225957767,6508963461,5615082284,4574197725,2525891994,3701620016,406711515,2248468584,754407218,703196837,3872057340,8250100380,3166807620,1246406938,607846812,989352852,3451762120,1479987131,587478632,644660208,1699248888,341934222,3759006984,559313880,1141286400,509097612,943767927,2206296999,1112414278,1050379342,3955692205,2541192325,1294999699,603191026,450159298,6204434551,7559066312,2699129682,243629433,432865996,305499777,4095115614,220358310,4553121474,1353123210,1434770454,217896034,5636651769,301219458,1075587100,624035024,6355230623,942923735,719237343,551555116,2442687355,2104142406,2030031096,517536246,4308896676,3762298169,5719435470,6532225567,3603312636,417640392,1098039616,7363077984,203121740,4034789748,338599496,1840926654,879117946,4745496889,5854005000,468992528,860897191,1510485720,3404007828,1017086994,5513842110,774611106,1677500688,491309528,624247884,926334535,377285045,545424428,7396796430,1113200970,2419562169,1161448083,4790087505,1468769992,5803655586,1780897092,8751772251,114833376,2291440956,3068162083,2754322488,3164663592,996845580,2123756243,2999399352,505111360,1217055955,375105106,264240858,172307130,7514552862,955477128,3699010400,2551071278,1798017466,633917280,401060925,1210770828,456972208,8867945295,5900908928,30000608,81067855,5887936017,5816608068,320020008,4652366224,4419223506,5402462076,3602148488,5627666796,231263712,4637203284,4999541328,2343828944,1255682190,4785341744,2852662016,3731239960,3693807416,5064819263,136443415,7960000240,2190848898,543435444,49962937,3670180410,7768831848,1196916705,979195374,3793932808,2499037578,23619567,5336619750,1636733194,5570962992,752843534,2554763220,1335131125,1026908262,2484968931,2969346156,4278037752,4044621690,675551816,3593662650,1241580216,2102646906,295636965,595235828,1977524379,505359473,3551543160,2415650649,1375469226,2919163000,1103809090,4999999236,3669216426,854545832,901391288,1873780944,995832497,132620360,2727855408,4183267914,580944192,862700650,3926877512,3341588663,5841031734,4989817410,5941990264,1273637972,4050050235,422487432,1397904543,4434276944,1707519440,7540511103,2181330690,1354004020,7353855693,5730117057,2467875650,1018901134,8053249509,3997104076,5707621976,1214396300,5282053160,6330267013,581721015,1427365050,5608675122,8734654260,1051868985,1588752540,4509093925,6662040959,211146978,123794264,728420052,158396287,3963764466,4454963624,3253552504,3974677984,1378381688,4736803896,1721260295,2312858758,679013155,588896721,627284544,213476455,1903987404,1526400415,1253565102,430359813,4135694088,1082129625,2047480016,289173036,613827438,2565456415,2102713555,2331960024,373319251,36134337,703702455,1583344593,5496588496,5582357416,4043433600,1499940296,48796704,916171471,1136250196,4170531365,1729044945,341288405,311968388,3250563015,3412331952,8180599113,570297004,7951793496,5694177232,2702835664,5791390092,625812534,158679717,655645977,1006537384,1922501463,1558137232,236392599,1281921726,2040726027,3489653284,174062408,828546930,1074382924,2380117159,699537465,4127830952,2143226952,5054890554,3063106627,3720440562,476593894,1621026826,3366183042,592947630,1680167598,1551486879,4536135396,183283230,1367905290,5322699828,2681036928,3413352600,1283801240,1543404318,798186470,4932300232,3296059907,1639223586,2046549436,5026650176,4042068674,5680357722,227426986,7145729592,3058905472,506218536,1335133014,749200798,1962699212,159920972,1107543711,2675099757,559835634,356799902,1129703224,1617187344,2402749344,4241218434,3855764656,5423778282,6236902483,4427556774,614993160,6079326921,2082303464,1981786370,7972654005,1968310470,1398399690,2409721920,1112968630,3951543680,783871432,3223408490,712462218,4769459336,5448847200,3675894320,2865687340,1118717887,940658190,6153846732,4541276300,1665094510,2060411376,1429934464,2833742016,852873010,1656380970,399236922,1088555283,5770738881,6049036344,2193225300,119808276,2708604416,2895121716,3250754184,2358130884,484973846,6853074296,825654197,1450805972,175383388,2881110024,3592926606,1045224064,3982225260,3662757616,2183065938,1953791626,4073222552,3101786380,1891804824,2329327020,54976238,4258710136,4736506600,1452153550,1368433530,2315442520,543628116,4972521753,3436486400,5124910014,900291254,458165880,5827312398,1754714988,4445348094,7447713432,2133437117,1711896489,3955688850,311462064,5664737601,2065686744,803979912,805500200,3510235130,4252543272,39544311,903557645,8601125859,2375240415,6187243769,1892459690,6172645661,5824102932,665029952,3912388696,3621034767,3114068776,488662861,399815210,746667744,941083230,689547905,488489128,6707643168,2667621288,3427330760,3107723732,5440195404,7839964278,936645858,4787513082,2273625684,3506031312,951784105,527279902,878100090,1368921768,355769456,55104792,851225200,1548064482,1865147088,3053253000,2322592175,764547350,422797138,361629156,5102126463,6610085797,2554392519,688940378,856524912,3712574936,1621712946,1773431485,2967941165,500908488,1732838868,5436679131,3860880639,1047768230,755071576,1645673402,1228565935,8116167717,305360455,75822294,8035540848,5147227974,1937646641,1510076802,6650339318,1645423654,834963600,2383487628,2402073036,4751541888,3787092540,91438632,1779192065,21658105,6352545456,750718368,1822550210,1219693132,6567839831,6706283472,4244859168,784609955,291703911,544622144,4799526750,1982963115,8870624685,273508616,1692617380,4126313565,3956038227,514990827,5231738529,6855055448,116133097,2235969124,2863094185,4206490830,3436499885,1669602185,996782160,1872128762,717279000,1980318270,80699773,5850570186,4053449540,934817526,5640946675,1652414324,1408863455,125253868,987378548,532517040,4172347376,6607676831,4097881458,1193129133,2417911316,700892510,777959262,1249360855,788679589,3228494013,309352192,1826613290,1110701414,2433246900,6324641424,923601954,4454297532,4726247508,3230863240,1073494648,5966154114,4965922134,850073371,470780944,5491914822,7907068120,1076953050,2119966288,2641362504,1833152394,5937975981,4230333222,2062834124,3279183174,3883078272,3664572280,894558537,2765087619,3177104063,2442730600,1419015867,114941994,830838782,77838308,4869063080,5823974736,4427926752,225944130,7982800623,7803696008,16236462,1195696560,844378602,608458415,827637330,2321500908,2216658880,4488692224,1664107340,3716701075,160601256,2319280088,4650140256,135647780,4833384392,4978160201,172246720,7643031129,598578413,639346189,2508739945,284953600,5046208056,1469316630,4916023595,1208347986,2997546256,1629703625,6081903648,2686177548,1652312668,3550298040,3944868784,331610402,3594518262,8658827127,2804858570,2539956936,1466293034,5607401800,2101389321,516549871,559620493,2892735035,526634175,2333552248,651090870,2488813824,1127087830,4176922545,1524738180,158798532,125542377,6347535173,3798344385,17589604,648797031,1811147860,1317440104,1014473208,6556617046,7167640064,55415877,3626701156,2234803242,760092182,674926511,497977340,1369588230,1889124030,567087720,211112865,1360697362,6105602958,1088376136,94253335,644910540,2262391845,362136544,2438888598,6319089297,6492505131,1361054334,637945773,1927676608,4655337036,1392155772,3633073572,1840725522,1721301472,368853365,276047054,536228366,38578902,28188312,5442644389,91190157,3477869019,3418726608,4943923370,1649840544,2794130499,3449174760,217663911,1999418895,3209786307,1135651410,4048233680,3076302978,2313472458,995463775,2046141004,427944326,740108120,2816721340,1080386974,948778936,4630133448,4210136028,2229329145,4357814208,4191631556,446128650,500049524,2466154104,2986871808,3883401285,825988887,5338734849,8481602151,567979525,1911368595,2839565224,681382899,293104968,2724044652,461406818,2076107640,1063194840,2016628150,496963904,501063687,803171538,559436703,547179975,4841463808,3310192375,13881638,5492248704,692571800,4365931290,3997406072,6733999006,1275621392,5539814567,4383191130,1211147760,2912939300,4350453828,837425417,714898656,323339019,3616571520,801071776,1635150384,4038021743,575070064,561387912,449029945,420642504,1963632354,4749616854,545783421,248465178,3331857613,2536303284,3745576452,2866759188,3328988384,2824994100,2394805896,2157611772,108820180,741706038,4198218723,2615557401,4075197322,551004997,1581365247,2320827207,921888620,3176716952,3807566136,37551230,3047503720,2521006101,3450232984,1949312748,124401000,4997789272,7454140641,1150225485,7984060794,597059115,2285614440,3673680036,1099703381,111224796,1527599652,1047743574,4487158635,264732766,4411993375,3736740648,1753556555,4811620250,2846765856,1106068878,555003672,8817996258,669420400,624887478,563040213,921340224,3541703700,7779523491,3415006658,1853146386,2204141658,1515269960,1561975776,829241660,2432438928,348276624,917849180,8280199440,1409832768,3625394733,1081594736,4939351522,4810582512,1271701706,1322057356,1381095540,999681815,2972211565,1341346335,764353590,4926285584,3582106695,247063946,2561055680,2812657685,852703503,2809334720,5449324455,3642696324,2677286188,791922922,2236914714,24883096,2783081812,3662159296,2682542264,6868633576,1707609400,2844561447,4878379385,596276312,3309962187,3348317045,933678583,1627361200,3246564006,3814540362,5319279091,694051898,1543656360,684209253,2185945455,1443182172,1949327418,744869990,1947068793,6147934227,881561226,3722551273,5328613656,980969827,2363605614,214450838,3385042164,375710501,7930763488,1078849602,67647986,417296871,305072348,536739429,102081810,3711561867,2350843000,5198476260,505987498,373981844,1004405888,624001439,4098968455,1397689444,8833211055,398376188,6626357748,611324565,941543583,4981530876,986963277,1524015284,7232841856,493388895,2766157548,1449085552,3399092095,1321420770,146039260,1342203844,750040078,1519060772,5874167215,4471868952,2247488535,1567111882,1772753930,7200157808,557156636,6852409672,108631355,1288064286,3437433150,972314886,780214555,1421636658,279018695,4848041280,560339022,903033729,2417005120,244493034,6959531110,524585038,2680790697,756321148,854775191,4383711153,1538263925,2315720135,2452127168,3299848762,6219976239,2206873920,224178075,2221640000,3641964115,1710011779,7854718496,415224570,1664574771,863547446,1244931255,503669316,3994252200,8466033888,577992536,439984081,7270212736,2889536226,5989235790,3988986678,442506874,137475560,937604570,2173856360,1452459688,2600779611,635772978,3481173052,7439938656,5746877910,4311058325,1825451414,2396991408,7060859992,2874053301,72603634,3909363144,5499114920,1072015600,62721792,2996559420,1134533997,6741707938,2952439938,2698616004,774107416,1295563632,891999380,2113025397,6918261464,2837359062,771841545,2916626688,5718263790,2958068992,918020256,7554734586,972064698,1918591048,2425122656,1129646774,3222528870,788533380,1166667682,1693973740,1884980538,3844968110,1564816312,849516900,727448528,881286242,1531953808,877306984,3258826184,948355768,2498627445,545724536,4816059990,310770614,994503648,3215527380,1827964488,4386270384,3062513960,1783467261,223116054,6933531992,2917122320,1272842736,8867282337,2113972299,2150115110,1702553238,1621601418,5884442568,150429924,2652150408,2588429256,942553928,2259308946,454526064,7500042112,2490507595,2944999940,5466672519,394307390,544481334,247883980,2416614264,2214192969,1579687816,8785550979,1353201446,600849726,5604342191,228770176,105776770,593329768,188199201,1590818824,2941828700,3430101220,2111130633,1320777120,618288272,39177016,6882727502,3750602208,2063728856,451770561,1243976644,1464400764,7444436256,4590247794,1628062266,3672252512,2128151502,3488629068,3261027980,1434077841,6271581492,1552339488,570803818,5245236206,451308996,2363604475,2742295101,8342541828,2140077777,6446365219,830754719,337929672,1349615325,1643949630,320746702,2720964148,4542595580,990791337,350374830,6442963184,969130358,3242892712,162103621,6086173275,2311524175,3856532502,1634728602,1407870592,2028135483,1001885874,520447110,627252112,8766781227,653954469,1368916135,2479302294,232128525,5745861090,937407326,876773548,4940397355,2410017414,617181336,64410808,799257616,6628828262,3538766350,3265574712,4257819168,3367477323,979520800,8238112182,3490810170,1395103175,8665886718,566879643,8896935843,344781846,2706516805,943569496,999914976,5280347723,285194436,948749148,3872083050,5916147272,2727337468,779877176,598425843,3338458370,5497124128,4892144580,890899411,451312992,7449289008,3610003740,2735786853,2955449860,3680660646,4776513756,425794585,3688768872,6119442161,3245258404,1815006645,1991714944,1881079236,6047920872,138842352,2928562218,2122785861,17712952,1855726884,172830779,6159561344,2732726495,1572369008,666465416,2163314240,584833252,3408797280,230258178,2231338809,1041911883,463874458,5105535784,5253852720,1350907908,6980685572,1664009562,374175080,75982082,1899337800,1274410980,1179704064,6183992304,3212869293,226452573,3138343481,2686881069,202140100,5989381433,488647268,3019890836,119153030,200524422,2425282269,2317602016,186447564,2233249085,1702936476,206496822,1092919428,3892207712,497524483,989750512,174582008,2755497000,2312228763,1191121352,7118450624,2343250854,6594476714,1906936340,2147628195,4175808413,7617190648,504712016,1283940075,102439152,699170678,356513395,67508235,2155957216,80333062,984326042,1846010514,424664959,18081472,209576409,6755498244,914523728,858017222,1384179459,4717944980,4133144112,26397002,320682304,355424179,4560159090,6392216456,802142682,884170191,6548519096,1078559190,1818327600,940347670,739377618,445148578,454657866,255185575,206852169,5448797704,345554451,4351181226,1008933848,565291017,3500678535,5243066598,31161068,1145204244,4665789531,306380474,2875806584,1991844144,3413538896,1056618208,1672518519,5667113858,2286778257,532162324,3022039828,341418125,1071486042,1012646547,305209548,1412362275,554281530,4233473334,6655916061,4493726111,1123130880,1774718103,4153128480,2044060242,853138963,3594783485,5210028536,508171100,2872727952,569602440,4085051033,1768564860,2899909844,2769183090,8467819371,222643914,901529274,2292035296,1438663146,93942345,2993525628,2905833123,980941332,3814570888,3191071230,5901960888,6736172135,824518843,1616519788,3372851783,6310919700,8490134268,3986737426,4511245332,3836628055,369398979,3450760350,272421460,2425407570,3919667148,1094413272,742697652,313502780,4992931251,268070721,3543987324,173564802,547043661,1646357682,693118825,2082732186,616171148,3304100996,846940293,2164112166,1869339404,1846892564,4629983592,150024904,2186675307,7437794408,3521267730,2904665624,518871120,727259248,1285264146,569884205,4780641495,5839531896,4614474270,2168124520,3683906076,2695108596,2635512895,1464443995,296016820,1784901606,6814570574,833694279,1104762308,754556653,787761503,1289528824,2803733712,817783911,5011550586,5951305116,6904508226,487785510,639776860,1979461800,2841084096,999888286,573332082,8445317868,3735148868,735812116,326760320,39305442,1002886865,4041977994,3513400240,3060627268,370654700,82057380,388396181,3808220432,1192031939,10806615,781786471,2784499872,735626307,2978355868,55304286,1955255236,4735899996,537400594,5469514659,4180803081,3469361250,3768910165,2535793176,847935180,3813733189,7181335176,3058186036,3270279110,2672360721,349459542,4086173136,1453987428,974794759,1522726448,1715807386,2424757671,752446305,2386635587,402898969,2970092424,3948863145,993487516,2170279620,747862060,1603870260,2984293161,6798840822,4623806056,325058285,548042837,453104266,1142480312,1718702418,3004547736,6960493712,1255913771,3079778944,3910407438,3202383555,2580030312,188555215,7985947473,32764748,421064419,7913683485,2119438447,1108393270,158214804,1601180175,998206467,4579144,572918478,4204586871,170437896,6377410864,5767812407,4543062832,54573521,236156751,3413507072,1607386776,602177224,248129304,2435630932,5663476679,133140760,1031113370,1432876905,978854212,5287297820,5816254056,3322489504,615552357,884667154,7855956108,3371956235,1632577257,2402612628,1025034424,681913650,3553597176,776871484,221594118,900527723,1393185501,98380104,1619495574,1554356628,3221393490,3986220812,8428900149,2797706445,2277313108,496198587,3716820756,1595111082,1751796072,508939645,1197864876,266802012,268393608,1316907770,4588450014,724074274,206315982,213069384,1274679050,836143848,216853613,3817039041,4967496303,3089615680,533927379,5195155744,6775206501,2845952485,95469096,4073994545,848531586,596599976,428912836,3848713659,1274068445,7100219961,1068422439,1757271565,133685592,3584642770,1446509384,1913750216,4908174824,322126106,2736869454,444652140,3079858752,5653926942,3003129688,2676179973,5418756584,392050088,1351747350,2905284828,1060448547,3407498374,2447843360,4732733395,6279496370,913598778,2516729782,4304472402,387776802,6579297882,1379736659,3015958326,5536127088,6834756762,3451789810,3824511568,709463620,2209538244,912550349,614607672,3670741575,8554716297,927222867,6512449656,1246586224,2108066493,1968527608,2287832748,2429553714,4446731562,5510460690,3399750972,839795892,6776946248,759028628,3048003000,1680652986,440113440,1044645186,3456938135,103674770,2700399592,5676811784,2804414613,5424003193,4807680885,1390075887,3154661180,690181462,739681005,1937234614,1145134660,3063110528,573000894,318765903,1850216346,2040801351,565558797,1733421522,4257322734,37855298,1129551140,617086710,1556359584,6319244952,6719856424,2021492565,1629070488,1842353144,923359847,974484342,113158067,832651092,2499091581,1894939175,2513029566,5771324419,5127150161,81001000,1548203874,225796200,199490560,1099255050,1476926308,3802871826,206827990,938181163,2631582057,3950858156,5363818558,317745494,1171799226,342163912,1956049044,8452649250,2717347472,3806387106,885438000,826397557,957730904,1506146832,3350529675,6005484954,6640927263,1675199238,1094415672,7918904488,6081674040,890282930,2662239544,87028148,1250834712,405241791,4058006544,8656509879,2452544040,5864594052,1542142575,4903127910,2032918374,759452355,712769020,858029868,757941093,6629715621,1660594104,2353770216,4723689075,2129946992,1100226890,5313254232,774952336,2177638970,2784180312,5779438112,548687760,3264747390,1482840246,2984759319,244479530,817253406,4421677992,2040224795,1903268196,2612324490,926281416,55194686,795381689,2594750380,5393636235,247100741,5636126958,1366619018,1815004323,4231214469,1676622294,954337783,6268150791,2130552944,54251940,168527988,966870301,1448111828,2934145920,3348117738,589903771,3986445240,226703570,1327883312,1393033632,4490861265,846892062,479804700,29838066,4490000766,3427558632,2292960411,782606990,153875355,5774727960,197681148,939715629,2294769356,495935896,6571805840,3095104656,2794641042,321335406,4575941264,2053055421,2914452415,3874631820,1976354135,292527756,5271107464,1498151545,2748542070,1483622650,423666982,3626209480,3997854477,1225014870,3686657872,5338496898,1911542584,6354925297,1878203440,8280097002,1479685060,4871297790,4482064890,4606849232,1696529896,1617885530,5608298990,3755768256,255816880,2903249432,488656190,4738687515,4624503336,3038183984,55206431,142811929,619550168,6140700801,1826868056,293886624,5797936522,4175261735,848681942,3356956029,2140703523,662839344,1957486648,3450110420,1727146101,975637495,114006882,331625602,489115746,360200889,679838076,3357586110,2687770233,2350752720,6859575653,5715776520,7876381120,1671158070,4272972632,2109978702,712403274,3809260338,1142252160,450439665,433257216,980732309,995092734,624686290,2663592408,468472716,5233786432,1188855376,1754557440,4212043530,4485438461,851078236,906753264,3652226880,6421926376,894083573,1340866336,7381991871,1540392198,1294212804,518315504,1526404480,926182453,597677776,1341490953,2884815027,8171791308,4759453360,3592390784,4737893418,1221700666,172171306,4910812872,3797119634,520086391,2260070370,863494144,1400874180,3793560592,1028710902,26203129,2208389163,1806547740,6014999079,2390210109,186627272,1611264837,44193102,5217535896,1571751714,2112336208,2325623752,50945849,3467120164,6718161960,15420487,1304428836,3604125161,1981906440,1673364738,512342930,4447081704,2105528660,836418968,5042781204,1707216680,1104792129,623585055,6883180521,2252372988,1140859536,864948194,3278175894,201976540,7060893648,416912794,471137424,969010184,991763436,6551039574,1458716336,2907770495,7085413188,676703484,989558662,1854834464,5535581265,255329942,6455533977,2239234396,4058006379,538244788,799487064,1359008882,851501432,76892090,998378440,584429922,3317950097,765321242,5992089360,1328584768,5975209905,5600082516,1186132675,3771690720,2961488060,3883190552,1089818793,733755360,657551232,279224420,477310075,3337420355,6201512919,2344449989,7492634720,1869839108,83082936,555182710,1845161914,23259300,3916314876,1577430306,447199272,969905275,1693319796,3317075573,2593668477,6307554022,3896365470,337526958,5399985594,2481586544,8180444916,1405620624,4661878605,3028457380,1114818102,1831293946,1068441976,4733336678,4194516390,6656958315,1423839489,496860817,3146443972,5345040582,907607726,542035300,3031060796,1447646076,58471932,4763556868,12633226,7435976472,281431302,4554998784,529079867,5792290679,142595978,4820125743,1161768262,2620030644,5654254278,2933172400,325562433,433428018,5412601240,2659314735,2814511542,173178226,1137928383,787366353,128164656,704228766,424722196,1940811104,663329686,4111696410,1433783570,1044790536,384805416,6506416588,3266376967,4131785820,157583657,1775773916,833976696,7666938288,1456147854,2180070990,3280576326,2261022876,658500202,566229272,2097882567,3810135216,257363317,1658215072,1958126272,2017715886,1284577182,1947859432,2021730180,905939068,838008802,368935292,100343912,4084388388,3072580208,1640927028,4630264254,4222933624,1221874605,2644192,3570496560,701243150,2367375189,124942878,969532812,1506396644,1085445090,3103312770,448259895,5802516784,437601332,137510245,4211399784,818469880,1415332818,5271688323,2707615638,2905044912,566450870,2308003144,220675341,3486849270,451227844,2909462298,455435612,1073908134,330702821,175413168,130646506,77635758,3308639165,97490480,520587072,7621450443,622361905,1691743848,841684110,967047096,22101390,413116176,213687160,5436911328,205059123,5790006348,428728851,545947541,1154440881,1570086392,4674761040,1639178740,5049934086,3620314450,7328784591,1003743433,553757822,4872104993,395802465,1300678254,5460997527,1707451464,1979738800,2908411016,6243189176,1606418049,959319836,1393175064,4095720655,3098490365,6179154135,1249816329,3939356988,1375981568,3173229144,4779249072,518255254,508619512,155606610,206451420,534027365,1757843973,1363188260,253716800,5889919620,1807306320,1286001770,222651072,24316956,1354411308,4791950195,3227318060,303722336,3860247608,1304329180,1818800886,3427803234,1168723539,7789043456,3573912464,4332275667,4289834370,327031340,1575959158,1646953722,1818579504,5786365560,2567968374,3744174882,6206713416,484212465,43840974,609067824,994824968,1776466278,5509500615,828428776,297893781,446456658,4197495841,276088419,4158903450,2339132135,817176762,301368762,2143230225,129423450,3160733495,30204855,943594092,1510195465,173821648,3682725376,1482571928,78250062,142915300,1421661664,2106146847,555916563,1066914708,4052716738,634782954,5851669188,1109196991,612580770,2615774919,543922704,1804422788,369786900,563064231,129244232,71326998,3033410248,2760558738,367669242,248094872,1411901680,2226550375,3415295152,1242357540,598668366,1705044405,1776902498,1651671636,1739170368,2577169443,2276861928,350469720,5834515986,3792850590,1158564334,2307690095,725181732,1211454722,3049161570,1230363855,788077079,3260608974,5275566216,2625185736,302546785,1844485952,2083971022,532085400,4704484385,5258459416,4704190165,576173154,1058831565,881049312,6281540685,612612615,132954351,3092625044,2156561301,1460393352,1194375276,2469794898,4611904423,2843904996,671326494,449343313,2479766984,1118631753,1506499712,3682373576,2273496156,5415931073,1228404174,5622235092,13749450,1858071338,143391282,3886887165,2990779799,14641525,445251560,837042356,3310836684,1758258598,2910989055,5348912751,1332220183,5607020594,2570969700,2668127225,1769413413,932659216,252217888,913450495,5725394,861917769,2711954728,1076800986,3099303456,4644991088,3562722288,632719056,849864976,5810318232,4716370778,1959185580,1126099590,4951260369,72589030,1318728994,2598650385,8391195117,993498714,489823734,1446082136,2198403,1963740960,2591310908,2752198638,427969886,1626903928,2114462200,829670268,8234594208,776556917,1198398831,3163930584,1863347045,543928744,5851418139,1420617510,3804143608,2232732228,903378168,651837758,2104526914,382871541,925136312,1361477313,3237155658,6667799994,972314538,1624503316,4623600506,7216859277,6169347674,5055263910,471288747,802011320,2041928308,4643692490,94453959,3328745752,1899169470,415357504,4715613648,6617740608,1869351620,550815642,5573861573,1780239768,1480275692,3399270992,3471858460,331175102,1967133765,682920072,223379532,585631555,5815069506,498591348,544426128,276058696,910695008,2122297071,1865298384,455254355,3558447914,2110037680,1484281590,1557513576,689702622,569265531,939509182,597696095,3689152767,1970566068,4106295894,1709734842,214654549,1687204764,6738695726,2974131139,2286021804,3512331666,2565205535,103158012,1954374944,578137329,2019717804,3952060203,3361034968,3989778870,1437597834,837835807,6903908319,366447494,1715553980,1920089946,2795645776,3794416350,4403708475,742127876,664863710,3919745420,5465828790,993736148,1661949423,565166184,3327931208,515757535,1737537504,3729084849,1795115220,709439788,733155592,6234520313,543748484,3589284042,104136952,1585699470,437679932,1115648775,1468582404,3606920828,3430695664,2070486078,1967677317,1731844503,435161234,6905701248,175188320,4610338960,72104910,211193715,857523753,431767231,625153842,1673401374,637420545,5620852566,5883805480,29441703,6298232507,100937925,6738588346,2259249080,763905123,1070777934,4523840936,837780224,2857679454,3130841056,312278166,485340676,4898212644,1868435268,134677896,4021747216,3989697225,2795799111,5431433480,1202859132,801220043,703612587,1263233526,934835497,4268065212,6382496312,1359612030,1001394402,1726134354,1933121484,2972429243,716929396,1437136144,3183384967,830446815,919991225,848993184,3385388968,2599621296,3891846006,5093645018,7593218874,1009635789,7986768720,269040327,3852470622,82701766,2559519125,6719945,1301403591,816399696,2516136584,2382374415,1641893855,1253470182,1155509262,4931068248,575857535,1168634890,629364582,4121557816,4902192390,1159518020,762927668,1247866872,2887853637,6645903782,1524615615,4231308389,1072210128,1003410415,896048952,630847385,307447071,647154353,4383532500,4954600566,4131931305,4194599720,2368905168,1358648014,943401915,1358902756,2279076204,1380470395,4030728306,2759475625,6707543517,418389151,4710399498,1831967226,1161525498,2528230044,337312615,1126232272,4315223280,650662008,3547845890,2352742746,5725567722,193442572,2262214544,1424702970,3385886607,337387072,2930358648,2580048378,1977253875,5426232826,4420110384,5985145152,879971034,1504285432,594588786,516615819,587614398,705630042,2539610217,4698455192,1462753300,5683077488,2551587324,1455434440,802827756,3590330735,2050098444,627649025,882992244,2806865205,2048585765,5163611384,3865904777,8778841209,1712342235,6537909888,5162144421,1482591627,738555988,6371147223,117474420,6050907180,219795004,541715037,1784031885,1998307920,3568800890,1943220184,735800693,3498406542,266237560,1792306596,1280581710,1422015584,2826634772,2022109092,2527634945,1572221103,6644378352,66454596,1160878407,3263020200,2692326594,5680586763,845447460,5736902437,1210968336,3617759696,1112863325,4982063825,2243154954,498472135,129780147,165711825,271046260,202078904,854016580,3152268855,5901028158,3729367495,770990132,2575226044,1410512468,803336910,39127089,3311923344,889526088,6015729592,759586368,1408802352,1518600188,342260048,5764106763,369278543,1596560670,2092433664,266012710,837555171,3323076723,134605285,2499637683,2590171648,2939427195,3321839736,913887026,4499805940,378563520,3665144308,210584084,51062699,954154503,1838484291,1979165888,5250461940,574873596,6426085696,5313908312,3839348975,1436646910,1648555074,774741863,718304343,5538371358,237753235,4000647905,690191964,3621443791,5323211496,2397628072,810945666,4693992540,77287860,496416375,6610952336,7919791432,1630595026,3437304185,2225920986,614616396,619642089,426622220,2226334820,854016080,54053557,3452201028,5600651216,1430311254,1051617390,3869939496,706788914,1273016010,3389230986,781391688,6349452111,4597591320,813308064,121341525,5718559903,1739453154,1051155875,96538213,623204109,2667073242,3673379444,1795738389,7710511864,3473229816,1277158320,255298452,5956551765,2318400165,4178332386,3314405934,5587195264,3925684341,250249360,3474090448,2036159211,5309903424,3871852924,778102865,46734483,5315293473,1857831850,2113505880,2212438851,6892717840,5594117277,758556669,1778199849,785613087,7840354408,934585326,5724938358,23637424,678583995,1041095880,1425380965,206522142,4893546267,2184162369,1262745820,3862489432,3102165633,766446955,1035903778,3390111893,1545563224,5767052130,657640584,242297047,2628599735,2483234520,4070641950,3003452225,1372829517,3320494180,4756309782,1170571694,2169591930,6368533388,5821290654,3193871934,294395280,1224733328,7076841192,1735604994,1999635388,4637875060,314130195,4796102178,451594915,1644502840,5016152124,2099495178,3777569037,664571924,5434305904,2357275650,2977369360,836967115,1416530038,629013155,487697741,1018991796,2743351548,6641828936,942401028,3154758200,4638842604,320696626,79428618,2556849350,1496820549,2912567652,3597072912,2853514312,5587355296,167174740,1466228874,795646408,1470646932,1492307500,6070227975,2423521328,5883601376,1736072916,8771831415,3275350236,3754165188,6323515919,856637382,1862357088,68251428,5698053138,140718312,2612733864,5050808658,559613951,7787893712,3324253832,2598940989,4662996870,825994289,1041530265,6487440957,3604819673,370028823,3094877584,702458511,7507387647,1901202867,418984058,625325625,4482978315,746961884,4947934128,832431574,4969305564,183423576,287009765,661328924,2015352186,362616682,2200723023,447070220,937312305,6363937755,2850981940,265050642,4012141128,2256701864,5151707262,640459204,789097464,268357836,1159665927,3582434832,1500261954,3276044760,357517926,3647121036,2922591393,1829746840,1033676140,538088756,4315243800,68834858,7351637624,3933225078,724520350,754617600,2167060224,526654692,6349783482,1233969084,134723684,6450399984,38396024,130529859,3768333968,382329828,3552094120,369048494,1311607740,366278701,2094974000,2131684376,1641751772,965677749,283607058,970937238,262555894,2164930796,5628419195,5891930019,850924810,847834701,1971055480,146327676,2967553530,2279340176,3157061920,1176387230,2014738187,5002422985,3864459410,5841542280,6989843042,793768792,2284337040,1198812300,18510510,3805961010,493091672,1594864116,1270247892,165720888,7458629355,1732089348,3431929964,516098662,390175584,60123075,6067842564,2429676215,968082416,691621720,1054735170,548060791,1587358465,2926003155,2906763096,5383836456,7911274248,723831571,3322187988,1700328008,6434961750,351845958,1563156684,1425125880,640105856,2168921586,2429160222,2436169692,1515186616,1640431815,1057912068,1061627796,1229477592,145659320,3492560516,886875520,3794044636,779454818,3467649564,38580412,4354243155,5734475894,730553765,894939210,804559368,1350009272,1434031803,1595048814,694369112,4670858565,5466473412,425842498,2995742133,536927421,2870901356,3564900015,8336723247,513635736,3368732549,107542572,1770849700,2667614688,1763243838,573277040,7263680202,6858164677,918443267,776749096,1468613326,1413157899,466254836,2343153351,1995873987,5231890791,848982681,327003786,660918173,736827102,544477525,1721809704,2962560357,7253409080,5369483712,91361646,4204292624,2120601528,1194359006,1194102400,315674528,996531622,7340618640,1009755828,6709661245,2470904568,1150103176,2548059813,8627907303,1926724257,854559290,242084430,3993215418,986533555,4736296824,1576385447,3626959115,1632568128,1255403096,1537266718,645932217,412568970,2502381570,5051970099,7025886592,4066035183,6493823882,2304041785,969405191,746227880,141975515,6326380837,145090660,528977512,998320036,94330881,1243722224,651884902,48110523,1659051390,4561830350,33670329,1895726720,7739902704,1341646748,4641700833,43464609,2571640614,967028873,2343944157,3403078050,6321039200,6804559791,489028196,2178157461,174063612,5567189504,2653424493,1961588860,2309980688,1432428416,787869633,3614595572,3965213824,2163207795,4652621325,631563385,2114286474,858928598,827271507,6990291203,1359492867,1106380985,221896971,2012014350,736450480,2408108856,919439087,4605131826,3317766740,877296739,7560662355,1801505804,6013267760,2421519900,482741633,2502949257,1760352234,35132664,2732957301,817506904,7682832104,5136263650,1586941146,1446461444,1524537636,772008438,287482913,1921006244,313056970,1390093518,597446325,50032966,3927519864,2869191885,5303688,1083946514,1431951690,532312665,3019871838,6958477176,3837651128,8045066619,5324184207,2619757200,389370771,3891573189,4887903906,1429924860,4496398698,593810526,5538186344,689924405,6698735424,2767244274,4120119952,844333170,3550784538,4989586430,150485150,1946977971,6141269568,5178320464,5703206280,1187813274,458000960,1819279063,233335350,2927442300,1118341336,5226503535,548465258,2705119179,10195092,858385288,5498298909,3193720452,1832143756,6723184112,5004145622,3691196532,48323168,4573753209,127374218,3606073655,799297788,2699710545,1793041508,3289236910,981335396,481652540,1992252836,4036479167,1747155438,4241899965,3004278627,529294793,2157747882,3112596477,4034311407,1036041746,98610515,641750516,425797500,1764331250,5341145488,3635644014,2865861696,5924222820,1800421925,1477235202,6805836288,4440894380,6815992446,3615236812,2442211002,3228617371,1723759242,2050080768,945451584,255399175,1408826993,2498344704,1949967813,8849118213,523617704,2241166785,1725283742,1168069068,7156886256,2952560735,3295143984,1025074084,507661027,857769235,7989905016,2362078585,140314671,983935380,1279843678,5447134049,3237110205,4412732898,2860101636,2005155006,38752888,3546119339,1049355879,4222556055,1158954240,5703912151,3087485933,282886446,6713095242,3784323384,557331240,2412331404,5550676788,3377210662,2453248175,1264130196,688418048,2427268032,7768321056,3901127230,759866821,6874037198,4763155685,2647497138,2517695530,5969406648,227300007,1985992383,5880038184,2877851694,5837832112,3891565528,610276830,2024704031,1937865760,2000968032,6778268667,1648234809,238846126,3246913520,1016560490,1771553769,1834639344,22570078,1106120026,122856888,6137078912,873441025,4487746845,1669474962,3457374426,56212064,3154002516,3259192503,3579629208,2527157552,2192795125,7651850936,3718661208,6250066544,368806242,6179531769,1826794563,3545665319,1499773830,910264112,933552445,4329092285,7219849048,1618642629,3959515836,404639232,3899060156,2708278657,975824083,6382993106,530558961,586444680,4956256746,587662420,2182875438,2434251520,1377094634,7143810816,514105977,3566940268,352020670,2915596984,6559217415,1899720740,1821845684,1404961176,2810215125,51244055,7186066803,768149034,1461159608,1328681125,4777715946,4918092996,76301292,4060901523,1430390694,892248915,3073903348,4956516324,5743385528,4210812576,1354267431,2084552610,631348536,868095615,2958100671,112998660,142217996,5706492132,1653122336,3515659424,1066648125,237288558,5023260168,2129212576,5622072946,7097637753,2834323919,2175312024,1892068029,1076257000,3438316008,458958452,1204073619,6923972272,4987040464,219060924,4840003480,2220449274,267066972,1741114904,1406380185,2121557238,216712525,2271784753,4928547729,147897495,1188023140,1252628640,1072850400,3693600095,4178947390,645683590,199812704,1542190132,1233661268,972377087,6799708179,2805345700,341809298,5341843664,516102865,3490545420,1487989370,2908313478,3541543374,3175450435,536660320,770747000,1513077435,777827720,1638066612,1506565839,1938025386,727769457,3746332278,42972872,135554225,1333788113,2159207010,4569934545,1769425004,4177187952,1148932035,2677729275,994271320,2250606464,608563794,523470160,2096737059,1589002472,512497596,133792158,341837289,1171020700,4570651572,432314553,6629522976,438623038,4454862503,632037038,6210855450,4085117148,388346112,769508984,3927609585,2850345827,1850249145,3892963704,15680328,7968673896,1503836340,1969190186,173146070,2930889988,4454832544,5841034444,3069270405,408422622,762432927,801364820,1460562000,771049262,6033267464,6069648843,1501331350,4207282914,1274769564,4267522312,605753631,1882803840,303796752,494492694,399376775,3176879548,3460695868,186967056,3962862582,147614838,2466784923,821895090,1150860324,4724210435,2972604616,1283824136,39030831,106755392,414206280,4933997375,6665131656,1271778546,998730920,1403815329,398401272,5532517530,1005608106,2445516080,5318082154,467622834,3947501160,921086915,2927945130,1701101258,3727501885,921933069,417906984,7451417032,4206951915,28636851,3485652016,962682194,1104209220,391008368,1086468954,4526609661,3245719815,3929568760,3617821816,591075542,123405950,1468961250,747302748,836077114,2803381280,3310389012,4574675155,5856337488,64862799,5575555068,613653264,8213577543,1074937360,4906456270,8103681486,1534620402,925798548,75450270,596310504,2866291300,4692961008,757048518,5610808626,2169697812,3220838558,2571141126,3643590712,2143418703,3133876599,2536088931,1731549732,7757840072,21577615,1033573428,1432640740,3774244280,2573682460,2994622221,7290793692,253226346,1823269586,523828107,2487835968,1502662818,3919742940,1675752288,2904326740,3991937082,6496735356,4317169760,2225259933,6040839402,980340802,3892670380,2766327124,437906256,4833638424,3925280960,1388784628,3328160705,357110995,2794648016,895957468,5896052480,3293511080,917631428,1064397591,3028838752,5940007052,734906638,1033828992,28859671,7357483071,870801210,1923143874,47104460,2070227864,3804171820,1548999965,3244301940,5074946002,325658934,466130188,596568312,2719256913,3489860710,980617728,1985386440,1389304962,3385434568,1707878796,1011769311,244145530,4457827160,698911630,3572603454,1788972147,2820546909,1479992896,2860270260,2924052096,685207652,245805444,8463215313,1978930884,794985024,2711194812,1037006865,85817985,2009160820,2490728961,504375360,3144938920,157806810,301087954,5450555547,3272963784,4847147035,1875139221,5278222809,2388556933,3016842870,4060417529,5388526683,3549973195,1506053871,2717867619,3023469080,1508207512,2344332558,2044237224,43751023,1627222864,4767738830,3881437800,1520100392,2366788892,1603415065,4517852632,941276368,832798815,15047960,252362368,484265853,81652646,5300134836,1532683464,1588799562,434870224,779641723,659124001,3532229460,4408078416,3572262070,4375042698,279398037,4271981050,2637596757,668442751,3660011048,2528120144,219678836,3119698022,4947177870,2175024447,563930184,1451072958,744586853,1442823214,3923001340,437942943,4396425426,1785590208,1943422758,2505135040,2714760030,4718953194,1072328672,4261516086,412204380,665330101,6122907297,5839761816,32234678,941115810,2466145182,1187108295,5038915840,1868557920,2587045038,330649573,702632854,2763457506,1717168055,255165650,4119447480,1985398430,2125566018,84800484,5244983382,262310406,2441287564,326925174,2268641304,718134860,909982183,980245894,283189486,2739062346,681250285,4863221946,548103206,1072941156,4824018804,5970757482,489701830,881376423,3643700977,38866416,263479071,617491975,14624130,2232146481,5287699767,3713105760,5778817440,996306178,1851963531,3019898916,4573032065,2069461908,2559588575,5347108040,326944292,1200151532,3653713392,1931765391,1733045490,2182330232,822364080,3951136866,4765837176,1665470958,1572062259,7222432256,1011689529,1892294604,1923575560,110839146,2802470116,608327783,7091383824,1149896676,659996050,5049910789,869233693,500774350,2126068588,552393660,1636239875,112967172,1372033383,3509534184,5982487028,1329171564,6448748880,883781058,4273395234,3251309064,5422405734,2058852123,1949055723,1503957904,690738380,5660388318,2244094608,432701310,432701310,1122047304,1886796106,1381476760,2255936856,3898111446,1601329429,6326140023,2709424220,6410092851,294593686,7254842490,1329171564,3418564016,2339689456,196004769,263590068,327247975,552393660,4252137176,3004646100,6084635851,3607079135,659996050,2299793352,6204960846,3041638915,1401235058,886713168,961787780,7569178416,337229843,6319628224,1048041506,5829148353,1059074928,658522811,986836896,3819077906,2021886405,1287843594,1565877168,2400303064,163472146,2673554020,511917715,2414372226,2743819239,671088648,4321248239,284658908,963136240,928276440,755385681,5208341789,14624130,493993580,439131785,58299624,2082114844,2056544987,3427912810,1990252494,7236028206,268235289,2192412824,3242147964,6131252565,5478124692,283189486,3920983576,3639928732,1149015776,2268641304,1144238109,3051609455,87436802,874163897,56533656,1062783009,8934292935,2574654675,306198780,1030300833,4145186259,1405265708,2975846157,3018219211,3269976360,2519457920,1187108295,1644096788,941115810,16117339,5839761816,1360646066,5322640808,577086132,710252681,1206369756,5505445393,2714760030,5010270080,1511551034,2380786944,5129162997,291961962,3923001340,6492704463,5212107971,1209227465,281965092,2175024447,824529645,1337013438,1098394180,1580075090,4575013810,2005328253,4395994595,854396210,558796074,6562564047,5715619312,3148627440,2354819640,5932116009,445509556,761022892,4236798832,3065366928,3533423224,81652646,484265853,1766536576,52667860,333119526,117659546,564731579,1374355770,2366788892,1520100392,8733235050,8581929894,1830625722,350008184,5451299264,781444186,3016415024,1133800905,4529779365,1936354977,709994639,2993625935,580059647,3016842870,1023667257,586469201,3125232035,969429407,2863843311,4239320981,1053807839,315613620,786234730,378281520,830242987,1004580410,429089925,207401373,4066792218,596238768,494732721,6582500799,1966443552,4111245912,3759495552,953423420,3699982240,1880364606,1590197464,2041487688,4193469780,4457827160,341803742,1156307784,5123636388,3385434568,463101654,3573695592,3432162048,4885804994,302139657,1789704936,1864520752,325658934,2899969144,811075485,2168599951,760834364,2070227864,65946244,320523979,870801210,2452494357,202017697,3101486976,4409439828,1697144872,1135814532,118266399,2752894284,1317404432,737006560,895957468,4890634028,642799791,1331264282,4166353884,2943960720,4229433621,328429692,2074745343,973167595,1960681604,5369635024,4450519866,863433952,1443718968,2851383630,1742596044,1196965920,2939807205,3005325636,4975671936,4190624856,2734904379,886292211,6480705504,1996414814,3088418952,943561070,1790800925,2067146856,34524184,6788110063,1298662299,6762903816,2437459577,714472901,5465386068,2999664647,920239588,723232604,1870269542,630873765,4692961008,5732582600,1788931512,37725135,5554791288,1790390469,8103681486,6869038778,614249920,2737859181,2761439688,2787777534,64862799,732042186,5489610186,4413852016,400483040,6688616912,373651374,881376750,370217850,2364302168,1808910908,2947176570,2524448745,4526609661,3259406862,195504184,2208418440,1925364388,2987701728,19091234,1682780766,5588562774,417906984,2765799207,4473002262,7654955661,975981710,5526521490,3289584300,601229358,2279178066,349359440,782139638,4610431275,309867656,3743507544,124841365,4451224911,5183991288,986799475,138068760,373643872,26020554,962868102,2601029039,3374436025,575430162,821895090,5755831487,147614838,566123226,1495736448,7786565703,1588439774,798753550,659323592,531644316,5648411520,4846029048,1066880578,2974462316,6310924371,300266270,674405427,3016633732,1542098524,365140500,2404094460,508288618,1633690488,5524686729,7509901428,556854068,6594502473,519438210,984595093,2105370876,996084237,15680328,6812686482,2220298974,814384522,7069697253,5386562888,1165038336,5446822864,3450475250,1896111114,2545635716,2193115190,4419681984,432314553,3047101048,1171020700,189909605,802752948,1024995192,2383503708,6290211177,418776128,507136495,3938561312,745703490,535545855,382977345,2386964544,2211781255,5483921454,863682804,381082318,1219988025,42972872,1873166139,727769457,8721114237,4017508904,2730111020,933393264,1176838005,1926867500,134165080,1905270261,1770771687,7755502608,743994685,1939191900,4644925785,5341843664,854523245,4909354975,2266569393,1944754174,308415317,3469927797,114178688,645683590,2507368434,6648480171,1609275600,2192100120,1900837024,207056493,3520391235,973622037,1300275150,5657485968,1875173580,870557452,400600458,1727016102,5808004176,511142156,3562171760,7789468806,1032063102,573698065,429789501,269064250,3153446715,2719140030,3644130753,4731758502,5622072946,2395364148,3139537605,355932837,1279977750,878914856,1446482044,1902164044,1137743968,169497990,5916201342,868095615,420899024,4169105220,451422477,1871472256,5025462337,3304344216,6916282533,1606048047,1907187592,5221159101,178036348,2459046498,6370287928,531472450,6575218236,1024198712,5589163069,461196495,5058387225,2341601960,3643691368,3799441480,1457603870,2186697738,528031005,1783470134,293774844,892976352,4131283902,1825688640,6548626314,3525974520,2753475970,469155744,530558961,1823712316,8782416747,1160690853,974765039,505799040,7919031672,2697737715,7219849048,5565975795,746841956,5461584672,5249208405,4558712553,5480383689,5492917128,1844031210,6250066544,1394497953,5738888202,877118050,1895368164,4474536510,1396796787,1802287152,196742224,576229071,3338949924,5385296214,5240646150,3068539456,52652952,4424480104,90280312,1630790528,2362071692,1016560490,2435185140,716538378,2747058015,2259422889,2000968032,1211166100,2024704031,244110732,3405119837,3335904064,4316777541,1960012728,2647989844,530366683,2984703324,1007078212,5294994276,3810524548,3928021256,434209612,5015735010,6905174272,1517042520,344209024,2528260392,490649635,2894751996,8326015182,4824662808,139332810,7568646768,5754081636,2545978014,2205347095,5703912151,1622535936,1876691580,1748926465,1013176954,48441110,2673540008,1225757844,6619099347,2312221575,3890810035,3199609195,2295849220,77952595,472415717,2996214381,1715538470,3045966162,512537042,823785996,590512147,3976047920,1752103602,246469106,2689400142,1047235408,2949706071,4549924897,2498344704,805043996,51079835,315150528,2050080768,287293207,1844924212,2442211002,8134282827,3029329976,888178876,3024816128,4431705606,1080253155,8886334230,1910574464,403960446,667643186,6175159375,510957000,2887877322,493052575,1036041746,4610641608,1729220265,1438498588,4234358344,429182661,5938659951,5241466314,2883199405,284607548,1444957620,3925341584,3947084292,8068686786,539942109,199824447,721214731,254748436,1016389602,193292672,5536794798,1429755892,1680796028,5496431268,2129146968,2443688404,4291926440,1699182,7213651144,1645395774,1161445230,319526096,7806512800,311113800,259897009,1832003840,1187813274,1425801570,1941870174,6908928264,3244963285,180582180,3991669144,591797423,2532999510,2575074970,922414758,2232911808,275969762,2769093172,1484526315,5245798481,2859849720,6517205208,3335634162,346107352,1047902880,3549456138,5363377746,2878238346,3976272672,3019871838,3193875990,5011830915,1625919771,7955532,409884555,3927519864,250164830,398297550,2780187036,626113940,960503122,862448739,1930021095,2032716848,3616153610,3173882292,2935007800,4801770065,2452520712,5465914602,245928648,4107488546,5005898514,482741633,2905823880,6764926230,3152635157,2520220785,3509186956,4644873436,1535043942,1182135969,1204054428,552337860,4024028700,24655219,442552394,1812657156,2995839087,2481814521,3006250093,3523810790,4420943695,3101747550,3028490913,3965213824,516370796,1838362477,895267760,288747586,280226980,1768949662,4871290816,522190836,1452104974,3423197372,4536373194,790129900,3970257725,2343944157,2901086619,1285820307,4829401,3978600714,3018705183,8707390542,3412308096,38480376,912366070,2212068520,80184205,5215079216,1865583336,220105389,1497480054,1057955024,174108792,7230149528,993828605,746227880,6785836337,3225658499,5566134756,1355345061,1756471648,2245320044,4170635950,206284485,184552062,3074533436,313850774,544189376,4352350938,1351187526,1184074206,1183840266,2218453010,80694810,854559290,1926724257,958656367,1698706542,1293866073,823634856,958523035,336585276,6423041310,1993063244,947023584,716461440,1791538509,1178111960,4729829202,45680823,1342370928,6346732945,1645866865,7748143668,435582020,409348390,4626427211,36333754,848982681,2906605995,3326456645,1562102234,466254836,3297368431,2202919989,776749096,787237086,6858164677,5649529046,687932448,881621919,1185606528,3541699400,107542572,4331227563,684847648,2778907749,5703840024,5741802712,357951614,2662881896,851684996,7288631216,2594921425,173592278,177227646,478010601,4725032452,804559368,198875380,292221506,1638421684,6966789048,19290206,1733824782,779454818,1897022318,3104064320,4365700645,109244490,922108194,1415503728,528956034,2187242420,378796654,3654254538,2429160222,6506764758,1280211712,1710151056,3126313368,1407383832,5719966000,1487787007,949196568,3619157855,3516121888,6281142532,5813526192,4096404417,680296485,2740303955,703156780,691621720,4356370872,3401546701,5201007912,12024615,585263376,516098662,3431929964,577363116,7458629355,41430222,1693663856,1993580145,739637508,634326835,18510510,1918099680,3807228400,3175075168,5991294036,6676048320,3091567528,5002422985,1726918446,1411664676,1262824768,2279340176,989184510,243879460,492763870,847834701,3403699240,1309317782,3216239540,2164930796,787667682,970937238,850821174,1609462915,410437943,1332302735,3142461000,732557402,1093006450,738096988,1776047060,637216380,6594584444,1044238872,172782108,4837799988,606256578,2467938168,5442671556,175551564,2167060224,754617600,1304136630,5899837617,8270592327,137669716,3596036500,4842798804,258419035,5489240520,1948394262,607853506,2502625482,1638022380,4000698544,895608708,331333122,1073431344,438387480,960688806,572411918,4513403728,668690188,397575963,712745485,7273071720,2811936915,804726396,2200723023,1087850046,2015352186,1322657848,123004185,825406092,2484652782,3745942083,618491766,2240885652,4482978315,375195375,1256952174,1267468578,5839079281,1170764185,3868596980,740057646,3089845434,4324960638,1458142371,5781960023,1554332290,7796822967,3739785561,6814406998,3917297657,1443088188,5225467728,123128523,5698053138,85314285,2327946360,3426549528,8130234753,5631247782,1637675118,7797183480,6944291664,2206350516,302940166,867175425,298461500,3921725152,5569524856,3421200706,501524220,1396838824,1426757156,1348902342,6795991188,4490461647,4602328830,8825402,1282786504,4638842604,5047613120,5654406168,4151143085,2743351548,2037983592,2926186446,3774078930,2833060076,1339147384,2552030880,3300185910,1358576476,1993715772,419729893,699831726,3344101416,6578011360,541913898,1598700726,104710065,2650214320,5998906164,4049744986,3931578440,918549996,245329400,4790807901,5821290654,7278323872,1807993275,2926429235,4756309782,3984593016,2288049195,4805523560,1809174200,2172830205,2628599735,1696079329,822050730,7689402840,1931954030,968603398,591945016,459868173,2215832595,7724978864,505098328,3640270615,3806091541,1032610710,1140304772,462709280,226194665,11818712,5088834096,467292663,980044301,1571226174,1383044327,2022817784,2397478833,5169538380,491653078,1320941175,1061618200,6833948751,93468966,1089344011,1935926462,2654951712,3393598685,3908351754,750748080,1744748596,2394512256,736534652,3714073232,4173120297,1985517255,446772291,851438880,578871636,2891441949,2992897315,2099073968,4000609863,1661877624,386152852,1471618225,869726577,3267748516,145609830,1626616128,3940792560,705494679,334882152,3954102817,1273016010,2120366742,2579959664,1051617390,1668696463,5600651216,575366838,216214228,1494528140,4007402676,426622220,1239284178,512180330,1854934155,2749843348,4076487565,3959895716,2479107126,99283275,38643930,6571589556,2027364165,1798221054,3548807664,1552047339,306751984,5600907067,142651941,3692247572,718304343,3098967452,549518358,3591617275,4936305825,1992715617,6426085696,1341371724,7000615920,4947914720,262640613,530085835,459564291,315876126,3665144308,757127040,4499805940,456943513,415229967,979809065,2913943104,833212561,942236995,1476922988,2512665513,532025420,348738944,1596560670,3323506887,640456307,2395820336,6833700846,4226407056,506390912,6767695791,555953805,2483942508,52169452,642669528,1057884351,2575226044,963737665,745873499,3934018772,5043630168,2562049740,227338767,2439416340,386660925,389340441,1495416405,6729464862,2989238295,635921900,1356659886,1210968336,7376017419,507268476,1893528921,4038489891,4894530300,1547837876,22151532,830547294,2096294804,1011053978,224678788,706658693,1066511688,426860570,2091024362,665593900,1166135514,735800693,485805046,3568800890,3996615840,1427225508,180571679,769282514,672323020,46989768,6371147223,1107833982,164732403,3687246015,5085041024,2739747576,1950853602,552272111,4518159961,1229151459,6549352145,4414961220,1004238440,1366732296,6462595323,1338046260,6549454980,1701058216,4972692802,1755303960,4698455192,1410894565,705630042,4700915184,344410546,5351299074,376071358,1173294712,1496286288,4972624182,2325528354,878779500,1146688168,1674490656,674774144,1504838492,1108102310,5089982724,96721286,6679829009,784247582,6386122602,2277317028,6472834920,844674204,202387569,1685486696,387175166,610655742,523377722,418389151,3726413065,551895125,1343576102,828282237,759692068,2038354134,1572336525,4075944042,3948175280,5872439608,5784703827,1651533522,7890358500,2588617412,512411785,4415931695,672036714,860066070,1250911816,604472627,338803470,3797659304,5775707274,1247866872,1144391502,4638072080,2451096195,4121557816,2517458328,1168634890,460686028,4931068248,513559672,1253470182,2111006385,3176499220,1887102438,612299772,578401596,1343989,1023807650,11814538,4402823568,89680109,1996692180,1346181052,2531072958,6548972166,5837769009,7798863888,3385388968,3395972736,551994735,1660893630,4092923529,718568072,6452364564,1273898247,214791276,863067177,3004183206,1359612030,3191248156,4268065212,7478683976,1052694605,703612587,6409760344,902144349,2036787555,399399873,3191757780,2010873608,202016844,266919324,2449106322,849346183,104092722,894526016,3265919376,3770011008,4523840936,1606166901,594148429,3388873620,7701243824,807503400,5398485006,117766812,5883805480,6423831504,212473515,1301534402,625153842,61681033,4287618765,380148687,12017485,6454474544,175188320,5179275936,1087903085,5195533509,1311784878,690162026,4288369580,3606920828,1958109872,3346946325,218839966,1057132980,104136952,598214007,1631245452,890645759,1099733388,354719894,359023044,2071713805,1737537504,103151507,2495948406,565166184,1107966282,2981208444,4251200170,2939809065,531890968,424073072,6165191865,1264805450,3145101498,3840179892,1715553980,2198684964,5917635702,837835807,4312793502,3324815725,6722069936,4516640232,4039435608,2312549316,6840312304,309474036,1539123321,2341554444,571505451,2549255262,5776024908,1928234016,1931890941,1709734842,3421913245,3941132136,3279246904,2988480475,1409263773,1707796593,6207323598,3634198344,1484281590,3376060288,4066797616,3186780485,8393842728,4244594142,4098127536,241551359,816639192,581689906,1292237668,3513789330,446759064,768285081,1967133765,2318225714,4860601844,2549453244,5180964922,5340719304,1592531878,91802607,3364832916,4963305456,2619785360,415357504,949584735,5825305066,31484653,928738498,1166816176,802011320,2356443735,2527631955,4406676910,1603746506,5284114864,7310264922,2430786345,3704333330,2158103772,605101028,693852234,382871541,1503233510,1303675516,1129222710,2976976304,2853107706,1420617510,5851418139,543928744,1597154610,3559421907,855999165,2329670751,5489729472,414835134,2960247080,3253807856,855939772,1376099319,2591310908,2618321280,5862408,3615205340,489823734,2980496142,5594130078,6063517565,1978093491,326650635,1100280082,5067448155,8816335110,673767254,4841931860,849864976,158179764,4453402860,1161247772,1033101152,897334155,1016983023,287305923,51528546,4567252475,252217888,1865318432,1179608942,2668127225,5784681825,2403008826,190317169,6113043144,4851648425,2637387897,1103612228,4185211780,4007264040,2928305,1281762771,4442156760,167289829,8361321021,11457875,937039182,1023670145,773704439,757832052,5523560364,188312464,1118631753,1239883492,898686626,4699285458,473984166,1976530467,4939589796,597187638,6571770084,1437707534,3865781305,265908702,5513513535,8076266595,587366208,1694130504,864259731,3763352132,3286537135,940896877,354723600,2381681168,1844485952,907640355,2187654780,3297228885,1397403846,2364231237,1230363855,871189020,2422909444,1450363464,3692304152,5213539503,632141765,1944838662,233646480,2561469669,7731508329,2173962960,1101114424,888451249,682017762,5388015294,248471508,1707647576,318078625,1815302160,248094872,2206015452,3154924272,4550115372,47551332,193866348,1313816539,517701660,4511056970,362615136,1743849946,136129060,475370139,7802225584,3173914770,2894797670,711276472,2223666252,2106146847,1243953956,107186475,26083354,3335786838,920681344,86910824,1208156372,943594092,12081942,3792880194,194135175,3857814405,1054790667,1089569016,1871305708,3327122760,828265257,599642263,1785826632,595787562,4970572656,3060833675,592155426,621765605,812090432,43840974,1452637395,5517078592,2496116588,5991926206,7715154080,454644876,548984574,3151918316,327031340,7721701866,3369547741,4020651522,2920891296,1168723539,1142601078,2078629584,931663700,7720495216,303722336,4518245284,6708730273,1354411308,72950868,779278752,3215004425,1355479740,8834879430,222002200,6134347170,781263988,3204164190,41290284,129672175,127154878,518255254,3982707560,2644357620,2063972352,3376591704,277736962,5296417830,619698073,4914864786,5572700256,3837279344,4283781464,2675652504,2492923728,494934700,2561177196,4854220024,1300678254,395802465,4872104993,1384394555,1290527271,1628618798,5792503120,4208278405,4917536220,5453887880,3140172784,256542418,3275685246,2572373106,7444293876,136706082,5436911328,106843580,826232352,12278550,805872580,1515031398,2255658464,3734171430,4234139135,1561761216,146235720,5293822664,155271516,391939518,175413168,661405642,2863755024,1366306836,2424551915,1015262649,4184219124,147116894,2308003144,566450870,1660025664,1805077092,1171486294,2830665636,1636939760,1403799928,192514343,1094003330,3626572990,448259895,4965300432,361815030,753198322,969532812,62471439,3945625315,2454351025,2380331040,23797728,349107030,1206552464,5291730576,3281854056,768145052,5445851184,100343912,1475741168,1676017604,3623756272,2695640240,1947859432,2997346758,1120953270,4895315680,414553768,514726634,635022536,4895059323,637007931,658500202,2584026144,2733813605,726690330,728073927,3407528128,729729609,887886958,135071706,7437214476,4199627529,3717952336,192402708,2350778706,5735134280,3289357128,663329686,2911216656,1911249882,1056343149,48061746,5511564471,3413785149,173178226,3752682056,2659314735,4059450930,1155808048,325562433,1173268960,5654254278,748580184,4647073048,1071139054,356489945,4964820582,2116319468,2277499392,562862604,1652439216,18949839,4763556868,77962576,482548692,4546591194,677544125,2722823178,4454200485,3933054965,4471747353,4271518467,5917296280,1677806556,4733336678,801331482,2746940919,5016681459,1514228690,1864751442,2108430936,1817876648,3722379816,8099978391,112508986,2337819282,5406474876,6916449272,473867939,2257759728,7759242200,223599636,1577430306,1958157438,34888950,6458066699,2775913550,138471560,3272218439,4682896700,669842854,4823398937,2669936284,572772090,139612210,1315102464,733755360,1401195591,970797638,2961488060,5280367008,1186132675,3200047152,853601415,5978631456,1997363120,2295963726,3791942968,454556606,249594610,230676270,851501432,5436035528,3997435320,4844203092,4637721576,4478468792,6455533977,255329942,4920516680,7419337856,3463455317,902271312,7085413188,2326216396,2917432672,1455786572,495881718,2422525460,2355687120,2084563970,3530446824,80790616,3746486736,2162370485,998252094,750790996,7866492024,3117925275,1262619576,426804170,7564171806,2091047420,4211057320,4447081704,409874344,6693458952,8918578980,4119000184,4565500926,123363896,4478774640,6934240328,101891698,872108907,2640420260,785875857,5217535896,132579306,4833794511,23328409,682917174,1336666462,4064732415,4416778326,104812516,685807268,5690340888,1751092725,863494144,6780211110,4680777519,2169782648,3507723480,86085653,5497652997,4737893418,449048848,2855672016,6355837684,2884815027,3577309208,4183744432,396935337,381601120,259157752,1941319206,256732033,4921327914,1340866336,1788167146,3210963188,913056720,302251088,1914926031,3203884615,702007255,292426240,3566566128,3271116520,936945432,2663592408,1874058870,2321883046,980732309,433257216,150146555,856689120,2539506892,4986822918,2813304936,534121579,2673852912,6891833480,8573664780,8819454411,4701505440,298641137,3357586110,2039514228,1080602667,163038582,663251204,266016058,975637495,1151430734,7762748445,2936229972,1159968852,1664991629,479565147,848681942,1670104694,4141383230,146943312,4110453126,5458400712,232331313,999683503,7886633,2658410986,3083002224,2843212509,1710296665,3266155611,63954220,4381729632,3204742280,1617885530,1908596133,3455136924,5976086520,4059414825,1183748048,4600053890,7512813760,5447078826,1638465072,593166322,3686657872,1633353160,1776824212,4351451376,2965668874,2670520770,8245626210,1797781854,6777138168,438791634,1694017830,1291543940,4080233381,4790462649,2859963290,321335406,931547014,1031701552,6571805840,867887818,5163231051,626477086,98840574,7699637280,184650426,1956517475,2292960411,2285039088,5238334227,89514198,95960940,2258378832,2694516759,1625205904,1138185696,226703570,442938360,1179807542,5022176607,978048640,3620279570,7734962408,421319970,244133730,1597914708,6268150791,6680364481,372582732,4231214469,1815004323,683309509,6575481451,741302223,1797878745,2594750380,795381689,193181401,5557688496,6966198640,634422732,1224134877,4421677992,2451760218,2200315770,6964438411,988560164,3808871955,640135720,2889719056,2784180312,2177638970,1162428504,4649097453,471525810,1064973496,6073314525,1176885108,830297052,5893080552,1263235155,5148179208,1069153530,590685165,1355278916,1961251164,925285545,6842026394,1532840025,6732841017,2705337696,540322388,156354339,609197036,4658919202,1068339516,2702966240,1979726122,729610448,6700796952,5903046456,857926422,670105935,2259220248,3352058164,4958385342,221359500,634397851,1698342170,2817549750,1956049044,213852445,3515397678,635490988,1532519588,2822041540,5263164114,3752724652,206827990,2535247884,1107694731,2748137625,199490560,361273920,774101937,16200200,5859600184,5771324419,5863735654,3410890515,1666061054,1665302184,113158067,433104152,3693439388,4145294574,1900582236,2021492565,5879874371,6319244952,1750904532,205695570,1355461368,151421192,2432755848,2600132283,377039198,2721068468,8325973557,743787107,382000596,3063110528,858850995,8717555763,2958724020,1725453655,2365995885,2316793145,2670933825,1549715198,4674024355,2838405892,2700399592,103674770,6222488643,1392860248,990255240,1120435324,1524001500,3036114512,7624064529,4198979460,377750108,918410115,741121927,809851238,3431749122,7874110432,2810755324,934939668,4884337242,927222867,950524033,2936593260,307303836,912550349,1657153683,5675708960,2868383676,3451789810,5315921926,5536127088,1507979163,591315711,5117231686,1163330406,717412067,1078598478,2283996945,8073638190,4732733395,2753823780,3894283856,353482849,6536890863,2027621025,1960250440,5418756584,7136479928,375391211,6596248099,3079858752,800373852,1824579636,1127441371,2454087412,1913750216,3254646114,6452356986,178247456,2008310360,1424563252,788913329,1274068445,3421078808,750597463,298299988,848531586,5703592363,71601822,1138380994,7743093144,3896366808,4805346411,2703413720,1419284658,848230898,1517975291,1045179810,5736055725,426138768,45847996,413756728,6117933352,1843670878,115025832,1067208048,399288292,4071517160,5255388216,3190222164,1858410378,3473390109,2602643552,5595412890,2809633383,2847300580,1789663050,2331534942,6477982296,262346944,1393185501,5403166338,443188236,2719050194,4145863372,545530920,896905121,1801959471,362794946,674391247,872884012,4423335770,410368238,4983734256,5089222299,755328260,489427106,1273668360,1649781392,266281520,2427204291,347947276,248129304,1505443060,4822160328,5973637376,157437834,327441126,5110945686,2471919603,7174587222,852189480,3737410552,763891304,32054008,7985651736,2561888280,158214804,1108393270,605553842,5275788990,1684257676,32764748,2661982491,1696996935,6880080832,1280953422,1955203719,769944736,179416253,3480246856,6760232406,5156107254,1713720468,1812417064,548042837,975174855,2889878785,755426758,5968586322,1603870260,5982896480,2531992890,1241859395,4738635774,1485046212,2820292783,2386635587,83605145,346393953,6863229544,2284089672,1949589518,6542943426,2043086568,1223108397,2672360721,2803096380,5351825563,4488334485,4358552216,847935180,1811280840,6784038297,2081616750,2986287915,3125436948,1612201782,3946583330,6843393326,138260715,2233766901,2206878921,4640833120,6254291768,64839690,681161108,1904110216,1553584724,123086070,555982050,6886411353,6148450420,1347325998,1604618984,98263605,40845040,4414872696,6536510519,4691843260,1146664164,3999553144,2130813072,2309372100,2878995870,1219463775,5918149908,5951305116,7517325879,3271135644,1869155808,1934293236,2363284509,4527339918,1104762308,555796186,8761590738,1784901606,444025230,2343110392,1581307737,3368885745,1841953038,542031130,3296053050,4379648922,956128299,1139768410,3855792438,2181777744,1210699280,1452332812,704253546,2789172903,3644458845,75012452,3086655728,2308615705,4673348510,3606853610,376417908,944028856,4313198036,6248196558,970366355,4939073046,3829305627,115709868,4134651878,446784535,3328620834,470254170,742697652,273603318,5226222864,3638111355,1634528760,2070456210,123132993,3069302444,6014993776,2278135672,1886696504,1402426600,4336523721,4849559364,4947113058,6736172135,1475490222,2659226025,1907285444,2615843552,968611041,3991367504,40261005,959108764,2292035296,2704587822,890575656,940868819,2769183090,2899909844,2652847290,2334314876,854403660,2154545964,813073760,5861282103,1437913394,4265694815,1362706828,5814379872,1774718103,187188480,2567843492,6655916061,470385926,1108563060,1883149700,348810912,562581415,3750201147,341418125,3777549785,2660811620,3049037676,3238350776,3902543211,1849081864,5973693068,497961036,3594758230,2144663318,518421059,2863010610,46741602,1498019028,3500678535,5087619153,2270101158,2900787484,345554451,6129897417,1861669521,306222690,909315732,2003168601,739377618,564208602,2727491400,1941406542,4092824435,2357787176,2005356705,3196108228,7296254544,1777120895,2886140736,158382012,6199716168,1347984280,1384179459,3861077499,7316189824,3753054580,1467034863,9040736,3821984631,8307047313,1124944048,80333062,1231975552,67508235,570421432,1398341356,307317456,1283940075,126178004,6665041817,5368896531,5727008520,2860404510,942068102,5467585326,4449031640,1191121352,1284571535,2066622750,261873012,1484625768,3482671381,7784415424,1912608999,117998184,2838227460,4019848353,559342692,2897002520,4850564538,85939038,95322424,2264918127,244323634,2566877757,323424160,2686881069,1793339132,226452573,2498898339,6956991342,786469376,424803660,1139602680,113973123,46771885,1664009562,997240796,1688634885,1970194770,1914575919,1623560603,694607922,1593813435,460516356,1460913120,731041565,3028639936,833081770,3144738016,3279271794,4619671008,864153895,2474302512,53138856,2426040984,2928562218,208263528,3779950545,1881079236,2489643680,2904010632,5679202207,3496824092,1844384436,3832151265,4776513756,2453773764,2955449860,911928951,4332004488,6518127882,2030908464,5345396466,3261429720,1374281032,2003075022,1795277529,2339631528,2045503101,5916147272,3872083050,948749148,380259248,6034683112,666609984,1887138992,3789123527,306472752,8896935843,1133759286,7703010416,837061905,698162034,6407420586,2448802000,3367477323,3193364376,1088524904,707753270,8522779194,2797401656,289848636,480029928,3213356552,2964238413,219193387,1874814652,4788217575,92851410,2479302294,1642699362,2615817876,2922260409,3763512672,624536532,333961958,676045161,351967648,272454767,1928266251,924609670,7825079925,972621726,3242892712,4845651790,3681693248,560599728,1651318895,8176672044,1943545820,320746702,2191932840,2249358875,225286448,4984528314,7367274536,2140077777,926949092,2350538658,3309046265,676963494,6743875122,1141607636,776169744,4181054328,1024341315,2445770985,6977258136,945845112,3213220948,3256124532,1530082598,3308638336,732200382,932982483,1807082244,1179273632,468825276,1966493572,9794254,1545720680,3962331360,4222261266,2450072300,1765097220,4772456472,1129195206,1038327094,317330310,1143850880,2401860939,1201699452,6089406507,8785550979,1579687816,246021441,604153566,247883980,3266888004,3154459120,3123812868,2208749955,1992406076,937505264,909052128,3012411928,2120746338,369775608,3094175476,300859848,980740428,810800709,1702553238,1720092088,469771622,8867282337,1431948078,729280580,3466765996,127494888,1387141203,3062513960,2193135192,2741946732,2572421904,621564780,466155921,6192077130,136431134,3331503260,948355768,3666179457,1315960476,6127815232,1321929363,2909794112,6796135200,586806117,2306980866,314163423,6775894960,2916669205,525688920,5800551966,1129646774,606280664,1918591048,1458097047,7554734586,2295050640,3697586240,8577395685,1458313344,771841545,2364465885,4323913415,6339076191,5351996280,1943345448,1548214832,3598154672,2952439938,5778606804,1134533997,2996559420,53761536,670009750,3436946825,5212484192,36301817,4790088835,1765214998,1797743556,6389079949,3448846660,1277083980,7439938656,3481173052,5086183824,6068485759,1452459688,2173856360,1875209140,206213340,1327520622,2216103710,4991029825,1926357484,8178989328,1759936324,577992536,5644022592,4659960900,377751987,1244931255,431773723,3884007799,1660898280,6872878684,977149588,5098749761,4998690000,448356150,2758592400,691108471,1885627864,3678190752,463144027,922958355,974158034,7692976719,1512642296,2382925064,1049170076,2982656190,122246517,1450203072,2709101187,2241356088,2908824768,279018695,1658576101,3120858220,486157443,572905525,1144946032,46556295,5995858463,1950048226,5400118356,2127304716,895492504,3595981656,3912885333,1678333490,6835773474,3375180351,671101922,146039260,1174596240,2039455257,2898171104,8298472644,3453722265,4520526160,3048030568,6908742939,7472296314,6590805081,1100384217,5890095776,56910884,7851743160,6289602498,7378143219,1248002878,753304416,373981844,2529937490,5198476260,587710750,2061978815,20416362,3757176003,261490584,185465276,608831874,539424801,2974036308,751421002,5077563246,1072254190,2100982768,8828728443,7104818208,4786137351,377811954,4098622818,1298045862,2979479960,649775806,1443182172,3934701819,390976716,1157742270,2776207592,6079176104,3390702544,2318974290,203420150,2801035749,2008990227,3309962187,149069078,1951351754,5689122894,1219721000,2575737591,4694448962,3662159296,2783081812,111973932,2609733833,2375768766,669321547,5464044486,4238363465,2458167880,852703503,2812657685,3201319600,2223575514,1592047420,4310499886,6879182310,4024039005,4755538504,999681815,2416917195,1322057356,5086806824,1603527504,2116864938,540797368,2416929822,881145480,3680088640,2294622950,232184416,1891896944,1658483320,260329296,5303444860,5877711088,1029525770,2439290470,7779523491,7968833325,3685360896,3378241278,1666366608,585742850,7838218896,3885025704,2580827382,2846765856,4811620250,2104267866,1245580216,6176790725,264732766,7179453816,1047743574,1018399768,111224796,628401932,8265780081,761871480,119411823,7096942928,3067267960,4969427094,1874170977,870807000,8771907366,3450232984,1960782523,5485506696,37551230,1692251616,2779627333,691416465,6962481621,903637284,2204019988,3493026276,4359262335,1399406241,741706038,761741260,2876815696,1064358176,3295826450,1664494192,3344552386,2809182339,2536303284,2855877954,165643452,1091566842,1055470412,2618176472,420642504,513177080,280693956,2587815288,1730580747,1635150384,801071776,4068642960,431118692,79433184,4187127085,1864480212,4660702880,3633443280,1753276452,7122618729,159452674,5771999148,499675759,3638276075,4155430800,1220499712,111053104,2837307750,4841463808,911966625,559436703,803171538,1002127374,310602440,3629930670,3189584520,4152215280,1384220454,4086066978,195403312,454255266,709891306,3822737190,1703938575,942400239,2372771044,550659258,4660081542,6969367552,4932308208,2250222858,3122900550,3592827048,544726776,2675194974,1804344012,3086755632,813239088,2160773948,3380065608,647594605,1497805141,3580746757,5972782650,771157486,2734491536,4857880416,1514201880,1783214615,666472965,1958975199,1724587380,4656884165,274973424,3955138696,854681652,1545719564,820711413,1555041254,42282468,25719268,1072456732,414070581,2581973555,3442602944,4601813805,908268393,6264700974,4655337036,6746868128,425297182,1587896723,3606947295,4212726198,4064814330,258668960,1357435107,1128593445,56552001,544188068,872228994,1360697362,337780584,189029240,1889124030,273917646,99595468,2699706044,6840829638,2234803242,4533376445,277079385,1791910016,3746638312,4057892832,2964240234,362229572,144177118,17589604,3038675508,4533953695,209237295,952791192,609895272,2784615030,1352505396,711089664,976636305,1750164186,2106536700,5206923063,3917343451,1033099742,4202778642,1602114800,2199439551,6773218496,2804858570,1924183806,1198172754,1989662412,3451760186,591716340,1652312668,5372355096,3040951824,1955644350,2248159692,1409739317,4213734510,734658315,2803448920,641145600,2508739945,5754115701,1197156826,5944579767,86123360,711165743,604173049,169559725,1743802596,2899100110,35689168,5203381505,2329750276,1122173056,1108329440,1160750454,827637330,1095225147,2533135806,448386210,48709386,7803696008,886977847,677832390,4427926752,1941324912,5477695965,136217039,4154193910,1034477946,3784042312,1832047950,2723232054,5530175238,894558537,2198743368,3883078272,1639591587,2062834124,6345499833,848282283,305525399,7043633344,4239932576,1292343660,4941917575,3051063790,470780944,607195265,1103538252,3977436076,536747324,403857905,6301663344,494921948,923601954,702737936,3406545660,4998156363,365322658,232014144,2152329342,6309436712,1249360855,7001633358,1752231275,1208955658,2783967977,2731920972,943953833,4693890798,66564630,3455824918,375761604,2254181528,6609657296,2417548575,779014605,2432069724,4875475155,161399546,1131610440,239093000,1069787864,996782160,667840874,981857110,3739102960,3435713022,558992281,812931679,7711937379,3487825686,228884812,2197799015,7427364417,338523476,273508616,8870624685,5287901640,3732965250,612699912,680642459,313843982,4244859168,3725713040,6567839831,871209380,364510042,2001915648,705838384,21658105,2490868891,76198860,2164052880,4751541888,2402073036,3972479380,1335941760,2115544698,4750242370,3523512538,276806663,5147227974,8035540848,176918686,916081365,5410778478,1228565935,1645673402,755071576,1676429168,4963989393,4832603672,385075304,500908488,2374352932,354686297,1621712946,8353293606,1998558128,885780486,3405856692,944297971,5831001672,241086104,422797138,764547350,2787110610,2289939750,1865147088,3096128964,486414400,385733544,177884728,1368921768,4390500450,2109119608,1522854568,3506031312,378937614,1595837694,1873291716,871107142,3022330780,6215447464,5483729216,4446035480,838455396,854855974,965367067,2195860870,3360004848,1199445630,1954651444,3114068776,2069162724,978097174,5320239616,6794786754,1763613046,1892459690,7955027703,5542227635,8601125859,3614230580,65907185,4252543272,2106141078,161100040,535986608,4131373488,5035322312,2491696512,3296407375,951053605,304776731,8378677611,2963565396,779873328,3884874932,400895145,3151019389,5857040016,6185675520,2210009668,135907029,1852354016,4105300590,1742584260,592063325,1064677534,137440595,776442340,1655329221,1772449360,2327555744,2930687439,4366131876,1831378808,663704210,261306016,598821101,6722590056,263075082,2176208958,4128270985,6853074296,623537802,3144174512,2438065638,2895121716,5417208832,17115468,3947805540,1512259086,3205966045,2539962327,266157948,4969142910,6822984080,1619281152,1608676272,1030205688,832547255,908255260,683760748,5643949140,159816841,716421835,4594867900,1816282400,4769459336,2137386654,1289363396,783871432,3951543680,1335562356,2409721920,932266460,1968310470,2657551335,792714548,1301439665,5403846152,1639981760,4427556774,3563944276,2711889141,2409852910,706869739,901031004,2425781016,1694554836,1605599559,559835634,8025299271,1845906185,79960486,1962699212,2996803192,2225221690,442941219,1747945984,4466080995,1591988902,946726287,1154876764,5654981448,3069824154,910679770,470865701,616537529,2394559410,2315106477,4493304340,2844460500,2234197440,7096933104,911936860,244377640,1512045132,1034324586,1120111732,395298420,3927213549,5673593891,272339368,620073427,2187933305,5054890554,5000862888,3611852083,139907493,2380117159,1074382924,1657093860,522187224,3489653284,2720968036,3845765178,472785198,1168602924,1922501463,377451519,72849553,158679717,104302089,2573951152,337854458,6405949386,2981922561,2281188016,3635821828,5971580916,1950337809,467952582,204773043,576348315,3574741170,1420312745,7329371768,48796704,1499940296,4548862800,2093384031,7067042352,527781531,1172837425,180671685,1866596255,3886600040,2102713555,513091283,1636873168,771128096,1023740008,1731407400,1550885283,382542056,1880347653,915840249,317331234,85390582,940926816,757152927,679013155,1652041970,2065512354,7105205844,1378381688,1987338992,406694063,2227481812,1321254822,950377722,728420052,866559848,1478028846,1903440274,1288312550,1588752540,1262242782,970517140,1869558374,2141047575,698065218,904323859,3301283225,1214396300,3261498272,2855074340,3579222004,3566153969,4442176170,818588151,4902570462,4062012060,2544885805,3351338268,2049023328,2771423090,599101947,633731148,5670070329,2547275944,2546567256,6985744374,973505289,3341588663,2454298445,985943600,484120160,1792829106,4091783112,165775450,7966659976,1338414960,1352086932,2990910412,407690714,3333332824,4967140905,1167665200,3438673065,5636518181,4439428950,2021437892,3295873965,4166650796,295636965,1168137170,827720144,1597183400,1013327724,2696414460,2139018876,989782052,4141614885,798706426,1068104900,1277381610,1129265301,618995888,1636733194,7115493000,47239134,5831087682,8536348818,1958390748,2154450069,3884415924,3058483675,299777622,815153166,1095424449,2985000090,163732098,1447091218,4617259270,5223735944,3209244768,3589006308,1883523285,2929786180,2499770664,6182937712,578159280,4689722330,3602148488,2701231038,6628835259,1744637334,720045018,7755477424,654215113,729610695,37500760,737613616,6897290785,399850682,1076240736,44562325,475437960,7192069864,3279948786,924752600,2866431384,5009701908,114871420,88080286,3375945954,973644764,1010222720,3374324271,2730543741,2990536740,1186748847,1836214992,2629853214,3819068260,114833376,4862095695,890448546,1934551862,2570347486,4105789290,774298722,268840241,371066990,2465598810,2454409926,75457009,264667010,624247884,184241073,5032502064,645509255,3938458650,1017086994,1702003914,3020971440,5165383146,2110466376,2601780000,2711712508,3516471784,613642218,1354397984,4034789748,304682610,2761154244,686274760,208820196,514758948,4665875405,7625913960,1074942334,2154448338,1293840615,2368369612,2805523208,488537471,1378887790,958983124,377169494,5447340534,2496140096,3764554850,150609729,626294641,217896034,4304311362,811873926,1517707158,36726385,455012846,509166295,432865996,135349685,1199613192,6614183023,2659043379,4051433682,4825528208,924999785,4065907720,6329107528,4201517368,4449657112,6618890997,314589309,169699204,1711929600,1118627760,3289131111,390781968,2265665184,429773472,146869658,634280199,3883232385,2968058556,2127463842,4362424283,1900084572,7333422560,2904043005,2109590511,1131610827,2248468584,1084564040,462702502,1122618664,6403876815,4010773060,1859703846,193678086,878205586,845588434,2198432394,493413519,859818508,3701005056,1666890849,2960850625,1072871496,519520640,3491456385,323203149,1414688834,1404788136,7861404352,5017290803,6296417554,666030516,2293779243,5234519312,8882257023,2225924680,4882361375,1041730718,3347631320,6050611856,5698408728,2885066556,2061472554,1207129182,1559321916,5312435616,2924446135,5040364194,1228898758,288828155,728224510,4625576420,1022848005,2168417490,304300030,127695113,2700102904,3082028031,426624534,656340828,4969166320,3549785624,1461705924,578135946,772507786,2240122734,1421688235,6926701016,3517761310,6880790791,667375750,703183971,6321185592,2091887344,69594488,4857051335,155010520,336102255,2809920684,70759158,3820469048,1275420216,408248701,5084320416,5546297688,395487968,2234284760,116882264,3545313668,1091245992,805797456,4577699376,343272756,1085319824,397443898,2057426512,3756839584,2058372772,2804445036,838241636,525409137,5760967338,3571235604,5821236280,1590873470,895118214,1771377600,1543852590,2280879520,3604912144,1045107720,5624034507,7588693584,1440444046,1537171252,1756268055,987113394,3691467241,782076388,629097874,2551191176,1890970704,2500598145,7931773040,523260618,472781028,14426982,2638187049,635225556,1357116455,1866769512,1540398516,525950256,87369992,782363024,5452924500,848448134,2475088952,4609832592,5304255072,1806907638,4418854695,2662250176,5888043912,1977815828,149559148,3251985877,1756565418,992130729,467570532,4840886421,997551795,380326727,606746413,1104412776,1101145992,1931331124,7564632424,138063720,952479200,125337114,6528166281,5894432840,1056168495,661893077,4031956621,2992871160,1912822506,4836773312,1545834865,6121841117,1700115255,6228922761,265841376,732461262,1637784156,1968774072,1085069679,2638438848,203508630,1184148288,245976875,1874080665,3587478064,786161596,16176453,639693933,1262727935,903269264,620249895,3553600672,3031804638,818140976,1893724966,4011258216,4140632934,616603311,3242212044,1838735946,368363703,3350878745,288917050,4135714625,2085032928,1667286676,1989423192,1349941238,128562606,166441629,1172566608,3751543755,425620499,191388196,150990603,1079630295,427355034,596033892,2870087517,3951268454,1126324737,997147578,3652193896,2134125132,2613880791,1326480648,883999816,217046455,781091448,1033561312,1686935385,2427404540,3923445465,1522877178,548770542,3144442716,1436522980,920632554,1078098476,2889197315,250188800,199807321,606128954,1654018954,523314030,3529018611,79958985,1808817493,518508507,130172729,3139353288,2698121015,324888081,797095602,2741197732,4538868504,1463855856,519430265,29589770,1126950764,1768506972,960761945,4895908997,914874767,3134997808,1487849170,1145637488,922373130,4166524530,774834803,435456489,1331028215,4176902550,3647061222,685999196,5182069410,3520323432,8712614808,3842033796,84570274,59341700,4202242667,688453983,1660831640,1840139636,1748149156,2177337421,710442192,4858782584,7800306471,3157037272,334237918,1671856376,3042506691,1549592422,881428232,2318316396,321642891,553022200,3284959284,3922149370,1222158945,1963566696,4830683168,1257625104,916783240,3429812470,1913106348,590772160,7837892200,2480457348,1579044528,955728560,459592714,2599527872,1365262444,775735214,1930710500,6346352592,497962735,1087328738,274779784,984700168,389900732,1860275025,2988815913,331291972,2270664525,624833904,3273726240,3442279088,425623260,1192955892,5441081040,67343575,597657656,4738161820,3321503336,1954782036,1144966368,306257318,3490248816,5196406544,3784985718,1153401893,4057758810,1526156556,204697171,601652499,2059691848,1025997954,882200066,333453660,1166714378,2542117692,3071629169,753497127,4445396490,374241315,3205985825,393861186,62929910,2338643352,5495521143,6912646881,2527269400,736764150,609721796,2674279878,3961019590,3489332980,1170670002,456337266,2833006460,27797031,2309735955,4878202016,526991816,4319045075,1306958913,4633727216,157357533,906050216,722251920,537277000,816603276,1588498359,765145472,3509660376,5600246301,452120832,5796422751,6048833592,1354565709,741590781,576193956,1211024934,564070632,1499113282,4886488143,2931296538,2606055267,439550432,941112546,471791721,3460254721,2891374275,497406936,3331521480,6762522347,1535373420,6029385440,571185647,258231752,5459194790,4807681645,574561825,684468005,1270464391,591560543,2125768167,1421721918,4799722816,4525010368,5246321096,601567956,2925521613,675693897,4148956588,904050246,324517088,658285337,6483860176,1082072060,3058717408,978366600,2772755530,4741113750,3288856851,1927677040,1885635964,1255875912,1799272980,74431805,50687908,3553957488,979113327,687729786,3059324424,1210125796,3265066566,2802187173,3731129052,929968343,6319795153,1663046228,3830912730,2760659256,1103108398,3767587170,403803534,2643101690,240280626,162780555,8979349329,675505978,839181532,5915233269,1122506074,1017349720,350484925,1156411989,990196238,6523373200,3530953866,513841761,3074972344,153801903,5507618436,849498935,2081761020,2031983526,710942763,2277328152,3437722440,370653288,908595024,6474400740,3960575136,47556300,176034712,2448762438,2384979935,5872160700,1823212536,282237771,2211981882,1487568885,796258309,4479803130,2870286042,1428939592,6780096092,588089964,3914903538,2578215756,1780958229,794268664,2856953230,2598533800,82310112,3786337260,3480100420,2166706112,4307056506,2254395438,2074425545,409021810,1388419884,153929648,2914986195,1023921602,4415157278,1410304,2105749020,951215196,3706229514,6508923381,1318733712,549518830,2253546612,4668930112,1896270040,547395492,4785341160,4254293390,4434274014,1025729860,5550817200,377616536,2012797675,1628754156,3827894170,426293196,5547019002,1942347356,5284479865,8838833112,214278218,742942368,2037052134,658050610,6612614456,1049321288,3395336202,696082182,1244823348,2738403016,2956158966,2707321808,431121455,947859272,1000201148,3720310993,3803784515,4165711242,2378097651,1308180738,3652347224,2799495349,2476975107,1164302998,697001671,3503466869,4206513010,8206487766,6012019064,1091447811,116274533,1488092193,8429091777,406213245,72943440,201654467,649541178,4471525410,450640612,800190014,1666497740,1075945371,96091371,831156364,876554232,3250743330,205445221,2304544404,3938755770,8073294057,6772004640,1991106138,5109091734,1981449832,1757970270,1108997282,350371125,7444616733,741219255,1533565332,353160576,626228460,2435908964,2836857850,2322027570,798162075,394020324,3781004164,1061669640,3215721990,2447836824,6231256584,427763341,473160142,752671952,1860054387,1622058004,314304671,812756184,3198263796,1560887592,7783867476,357863068,2769890956,1395207410,4343880755,3231165108,4619535147,619831653,119883865,1193095924,3720437685,323332090,3658347235,2826751518,1878502056,1660089368,930060096,674133135,4532370003,957781281,138078754,5894678196,2776191488,498393789,6518312091,1583586606,3578926730,6863980088,992661663,1212966795,5361278076,6796377252,974277907,1967902212,81287398,871897896,1323634395,7926502059,4714498257,8680994370,411434912,1867735192,2254230716,2806964034,1835362680,6072643552,1160444064,2532275940,1440184215,4572090486,5914767636,5948672028,8736598638,5003007057,433412070,1387597920,7422617240,6011611992,1523814355,2217500490,1896716703,90339678,1146703202,4118716620,3557543416,301983677,1210737606,1034192342,6896176224,793537116,50086134,8813673621,2068539536,2320170978,7482745575,5974766595,1896745092,2700401152,775166598,581547296,347938957,5475359720,407632577,2026796922,2794234750,1870110714,928410664,2877408640,4708734138,2258471305,245547771,2471652668,2010018100,3141013228,3859923320,464165046,4802708277,5423313376,56228771,2798779059,7283315385,751517136,531125691,8527960629,2180774495,201086412,366784227,3886134765,1365285552,268127943,5424766515,580717014,466410186,435168690,7265940426,476072052,2210973528,3628781684,2811674706,2606160732,3587135112,2423741936,2127073320,5584820328,4590790071,446248545,1388426120,3632933008,1996853922,1378052585,4828340892,1785079593,1983795016,762222975,134645955,252047365,1634839312,3742294655,1569890872,3612099290,1363275054,4861216398,171552463,1461628280,2585966568,7952492286,1643236680,169529885,1139927145,3233893265,4763348576,109878818,1829149680,3406616116,4724088912,5904445351,524558625,765451774,1398279850,138791356,1964661584,1991666670,2913113106,1063547384,2316144267,2328814920,1851848170,2510948952,262619352,1533028706,704774755,700060583,1117760466,2417988702,7287240192,2148297536,656476158,253852900,105454490,339210404,2581138730,1252859190,312630024,4658344014,439814204,4851976212,4235480694,1949671044,2971441938,957439407,3342620456,3033292980,249164192,8567558109,4385419108,4666610520,2860246467,5277398217,6336415017,1599763204,235375894,631696595,105377550,4653279558,1364583336,1141018764,1786143854,655078842,4710012264,5991983934,6611038819,3915252345,5465749554,6255655287,1384923849,847367292,1088019441,2608350800,7273121508,1264503805,2367308994,1979908200,219517833,181266,1570292458,817093948,269561082,1440720565,616517214,136395458,211215456,2805865929,168266624,3714619622,4405972380,2060910999,5592611835,890093065,1057342575,354675436,654033778,5999921438,4256482410,1575104520,2085653484,46687523,1179181635,1532307780,4816165396,629073205,2502536708,436020437,147714987,5740287875,833944760,378720320,1607403766,3876598656,1666867656,7884330408,757466843,1955774583,4081660686,6267753810,3482328595,2942449695,263557270,3472495295,4837271424,1777430045,1257359354,948434476,409047296,1311596931,1497553656,626612931,977025728,1198495824,1001708055,524280392,8738381205,2919001960,5347060920,78351256,3367328925,1905421227,2306293434,5340300714,992215340,4124011833,1245867586,552675328,933019593,5446549296,2801969254,2634039153,1021160736,887114272,4033878552,311513548,2084518295,3252859890,2705021172,4953838211,1377874030,561015396,798368836,1025905112,4626909430,3387009276,74100404,1707398188,746765624,831563598,2974782985,2942995503,294295393,1989770920,678843312,3165110376,2321664249,3658405635,7731190710,574725538,5490181584,4695370952,2653689087,5940570618,1116654764,783882712,3772840908,2641882642,823157854,44930522,858250147,7999119900,922939680,114984189,342800397,590229732,1807248950,3226744472,2131470078,4392930395,7434502920,292663900,864441048,378769835,2699969604,1914147148,909383105,635630940,146865994,2222603216,3040685115,117852080,226585884,80795940,6467220162,640760372,1369079392,2156987529,606397035,1825493240,79007172,903670445,1768033984,5785371389,1335472317,460580044,115017444,208623010,3532622382,698694239,307228102,883437036,6505387524,696180823,6763818312,2511768846,1790731840,163629114,2824135902,2908861461,5088667239,2351774619,5566145417,2611419138,5270153274,1793574944,986878233,847338558,4322590040,953860362,1849626678,794982854,7594577688,1167963860,1223157664,1267868510,906777582,1547295459,3006170082,7087959504,4980836020,2083337865,655105196,5199773593,2451775800,2210768888,5843363281,1285504416,3324374310,470335516,552929442,3588198600,2517010680,909048537,1555067948,4332301505,1216235784,342260162,2927454512,667711151,2946164900,1852227662,7806390944,1744769220,1603940130,541045146,5981954022,42029893,4352197615,577017480,2075579595,3216307645,2174266251,1839396146,64124919,195194274,750869658,280199700,2200436676,335798400,3908821416,49588675,2272481915,210830688,2100129744,822331871,823449343,8436927402,4700703592,2560527228,120673192,321597361,1192730448,1626816630,5195913240,7744483350,3460248333,265599335,846066972,6310803310,922519023,1977605048,1392899694,3702218875,178524118,2412098868,3446404050,4201718815,1068003627,3583785258,1634928620,2291705248,603767450,8906524830,434552920,2191233208,468138272,930730990,6115913912,178124995,6142521980,248279301,88102688,1680785751,6860191320,943659505,516366959,5487460128,1991362392,6528246165,3590814114,1509720794,805652622,401733392,4132535226,7191446704,1333501868,2133273891,732612128,1513522898,973219990,608291416,2905330512,3851973936,974601944,191868139,2753837292,373375740,5386531717,2512951100,2093134455,1285647468,867290848,290015579,3197380950,4487604016,125273694,937903196,1896997288,976580748,630820185,173377950,60331425,2703249717,2205755433,567889941,173465956,2052166132,2906414465,3203382340,1750936980,1115908112,2462463018,2781890622,2617675556,8491155426,52422873,1379792815,212637108,6516849208,173444676,4610287746,517764728,1226938000,3937236205,835235028,3962127665,1512144765,5232267985,1121645155,2244745128,373164622,2929799864,4776099650,1873278540,694414386,8388801099,762614500,679483938,5768793772,6025822840,2505671308,5715654665,3243696491,2452787696,2257135008,2615052264,1518708420,5502745980,698976666,2890766848,6744277808,2784939020,191197122,3474174692,916773905,105078156,2174692494,476250144,1269286953,702638154,7266803472,1435190076,50482781,1881646038,2799423145,1968313960,4338184434,7691067016,1149356190,2729214450,703375116,694236234,5085737144,1495933994,646717640,911699880,3866341648,1177567560,4209379730,2548847019,1639550061,5066030144,469862148,3440817737,6807341088,1936957833,2852414524,5396615559,3088225360,5137523824,129076638,335297471,386408821,1220723062,7390552842,3132054920,2594033188,166452706,4029157727,5519809568,5616573066,6460146720,2813848035,955076704,2343778648,3249518352,5643070182,3670611315,230556943,336895029,1333108532,3431858456,3466864161,313618809,567863940,5912852916,3061275880,4333891368,5133925236,2313610655,7746923043,1421930814,6954622048,849163276,2001209680,121763184,488733740,3639512884,1079625216,392157086,2306960416,1378166691,5349489408,1434284440,983187092,1915861317,3388798216,427174524,2560410975,8585416251,6124740648,4928878908,1897133848,5693704448,770844867,526394584,1215401436,124922174,5369760040,559790851,230377374,725021076,1424130462,2695023747,618217466,1327405165,2445538860,1864578036,866456661,1450137435,5151615672,8382934044,826579179,312786704,983924052,1776479626,1513538721,3172518314,152249642,7446909699,495535568,5725650924,5295209003,930419774,555274002,547142511,383977923,6191715392,1151985284,3932455805,3694481694,6317277463,347360817,4244029805,2416583376,30337615,1649918564,352377531,387129922,3521907412,995267875,2390894634,4203371328,1353611286,5422665416,2211003536,3225831057,2241514686,7447495920,3992887656,2058239470,2515628208,3823886844,4677544548,2836490110,1905825502,800405048,703699871,3223959129,1120799870,434254671,289041432,5147025612,1837982559,111115740,1817802616,695842929,649478445,1668322125,2989343379,693552592,1395404864,5547026718,810672336,5135142906,833725976,892166811,5807866358,1127311990,780809898,360557494,788311302,5306755928,697107194,99976750,8283008,763041348,595090382,2005681140,3502095429,4391750503,958598258,5995207267,1710866992,892882642,3043159839,57950930,1931171652,4910726715,244415316,6805519329,43172302,2598597144,875094448,1093695400,6002672220,4835029194,344796327,6985342259,413697454,1670980155,845844384,688981918,910827504,4988983535,819698212,3423045885,4485800832,4265931439,5853834657,805628904,1126508600,5089558086,2774461128,1097626686,787944920,448659183,3207866490,7139843208,1994954905,2235383248,4830551450,4927325358,3855753070,772311337,1930571230,2326475200,1881522156,1511221104,225880840,149827657,1283602008,82256012,1079345946,883415742,2271942801,4181324462,4093347495,1884958518,1594547852,1687420668,3944589820,521782384,2560707162,126684972,336024961,3240886184,1389666264,685818088,2446725018,1968071778,3806294121,1432387834,7461857192,2778645280,5509424616,2348986575,1339290708,2619303900,742015044,7512680448,4726214105,4555581177,5365919328,5332845864,504907879,303574980,522744375,7406818398,950477207,98849190,960640470,190961487,843349563,377105151,2094058800,2683361784,1687773360,2647350424,3808695401,4859315680,4668583005,6062371595,656349438,3530030670,617242405,2968576408,1041091320,3621807985,3083734344,4894263400,1909411932,2878501428,1194828070,4586555895,1862152470,542178549,2728128016,888646269,184103540,150852412,965048544,515265024,2668984962,255810420,7954942437,655015960,3834390120,560889945,2223120966,666547194,402048681,929946631,1506873070,1284334440,1651376097,337525652,11523592,690555389,4242110061,5238799872,7644484864,3604793515,3845260920,1136389428,433999715,260422226,1342524450,2462336235,4910281866,965340462,322332829,1475202820,3292599072,5004707274,3444761610,435809259,221202110,2590808862,2680458984,1607830398,657400848,896876964,286388078,7784734329,3815626164,5607441000,286386456,3672515005,700094944,4033166620,7897515424,1012129290,5342697038,3600114252,8767242324,3469687996,2148770165,1832047294,455102697,5484881276,5542707359,1826841276,2783332752,6800474716,2620391346,224189858,3387538819,148556400,93096542,494497918,7126484824,8510571450,20101704,3305259120,5486699864,2174294760,147186684,515650458,818774235,1621824274,1077550452,2822661392,1748609220,2716006545,2748331350,4946118585,684423141,966379903,4670493750,4943055016,7716744840,3869753428,296785020,5250478200,658853350,7188606000,1113490428,511518498,3790902916,8632804374,2548161459,2829998559,5499701080,6743757240,4686225327,4807569635,1139039084,8617407156,4230527248,5558885238,2444137038,5033825523,1861289940,349711194,3135416250,1879535922,2530852752,73911000,872562906,1275438888,545101206,5774915151,131271196,665464932,870710021,2521843105,2397086586,1314500528,7161307146,3403531080,141145060,1835224538,4618012374,1496915340,3677256924,834007272,1107054346,399094148,2419312796,1656442887,4303549278,6401512664,2730140607,102642498,2935338447,2455109020,619019875,1806984819,2818490318,5465524725,1721465169,1893746328,344720807,840251574,846948654,8777389887,607814956,1619177192,3211124322,2229626785,1904297607,402148965,985242822,3918828991,559987390,3085630470,7400616384,5403554198,43228818,7332245184,556439418,1998981280,1229266944,3562253135,1870427136,1959467770,4336257070,1020551206,3647310410,4801770496,605624504,3643857348,1053361,1785037304,441861579,832837392,7456165452,1089334745,74616390,7006304768,746932726,1356608332,3959196704,1806790974,2123573012,202688096,355118622,1914074550,3638972195,3200659830,827948240,700833195,2957034185,158187210,3200173225,1653854160,3408181770,3939227824,15582060,2306116710,2166888081,922601826,7863122799,4993338315,1391387448,603557724,2199270355,1596933952,535334067,2255134374,1076715524,2789318433,8057497536,2299138695,3166781724,218219277,919147669,4956714364,5853677700,3908148904,401354947,1616192526,1626777496,1954561004,3874246255,380267066,608778029,3701888280,7107945400,405390021,248875947,702373924,164169108,2756429712,5971285896,1729946928,4298964680,5631084264,6859159056,1803833128,2450791940,6941291448,2004190281,3995029784,962316649,3272135229,1505352272,5469717946,658202824,2955136326,3740536128,6257347875,4649653500,359721585,1900120758,3007487285,8204478,855243355,479520346,1592526138,424914218,4222328790,525602466,1330140069,50201010,6268883715,4339851495,5703098112,4276088613,986292918,1941642235,1672565840,3208471376,2872026321,3577183596,1322574282,1832251904,3395397160,1635786,295916364,263006866,2375991180,421857300,998111055,4277537232,8508058614,2645576108,29556898,2899769782,2848420000,362812674,2261471330,2970493305,2347778364,524295275,4085679928,192483500,2412784851,1348652290,3451783728,1133719968,4942063055,5858607377,2538253860,66517574,284771636,2958475698,8926237602,5051460344,3314377620,1740902484,8778364740,3069525140,335993636,128963785,335439960,1410161502,5801638598,1617569646,782851083,3786587000,165080405,4321411024,2250770388,957751755,1807380213,4681131310,1192710096,239116944,1945380093,1687459752,1580259276,2830763336,3205921295,765045492,1657410194,4239029355,6993576738,2230413732,1749850744,1672409786,13673925,1158653488,5952336186,4589320475,727807212,251039870,1586187801,1065775040,1178187498,893324695,5353157680,1871700903,4719746934,1724418480,3168051129,2279732328,8543614680,4064763180,235990724,2546927121,581593793,1404154503,377312540,7022760768,2176859025,919756774,2261649040,257912880,1223168288,1073388672,166608676,1590539348,400504242,6264220851,3235657896,1761576912,844873670,2223914344,7914711072,2896370055,3617034120,5380002114,2385024723,879230485,2015705376,687459561,2333868901,1162432280,3519212276,4738623680,1410879816,1940372430,3253312016,4400250600,2474316261,1386155684,4591220055,3120582720,1584788940,162808356,6102307368,4156940892,2932975923,224458660,1264607502,614217342,4049438575,3847617224,1444110852,2837900280,1407447186,587401917,8251135101,4947154814,8677572885,4371792990,4858661736,7625866887,191070206,5628784185,7748851080,2169450,757411688,8706825405,940867908,651196348,2563164234,6913560915,633371096,2239683096,4981887885,6531440167,1881949584,2170738350,106074940,748979435,381103439,3715476065,2268352388,1364546784,3491315656,4386464658,2861949456,4529575855,848955238,566143188,4619803184,1969439284,2629732182,1063715538,7157061468,5377116438,1964040814,1127757196,5248666680,2716478940,4161628200,5907481076,4439788556,3029907948,2454116640,5814249588,2569844536,2591585235,940209030,7258384664,2249695020,6240126144,1113450402,223060992,1192951212,1718006135,3320516008,7131841144,127259256,5155014753,996187195,2984770071,8966862252,3370504155,855030261,32442760,2138839788,3194328410,3303816675,1755547792,1495365786,116753208,3370089942,2432666100,1221914718,1232596164,1213685550,3833046140,236520927,6053470452,4602000494,2841405400,5160299304,714494124,3884894584,1599688699,196321083,3327454340,314123196,4803701925,1403630868,2461974216,7066363280,1912933482,3279794196,8711491410,598421140,2779092302,760657545,20391393,7722256014,1415540315,54647862,350044767,6352720368,1786231016,4295365900,2865056205,3885081028,3358237568,154050381,1344241888,600119830,419111512,7703389917,2006201151,1129665752,1601596892,2766030712,734644465,5502510870,1854226865,1628298210,1491372372,423384165,5436340674,2224315050,3405684020,651692435,2231660052,4492956,5910954791,3868401052,1098661242,4373279180,85867208,276681452,1580037537,6171373404,5651418534,3293100405,5220002088,162739610,2338698082,5282182752,3321061092,222034797,1120363624,1307018384,282969521,1722502449,959051956,3931122864,6410144760,1963853472,4601774680,2604839524,2778358179,424615808,2138011239,1806317796,6834641103,29271336,328288800,1134714238,2792353072,5820635527,2229561480,140806712,310044996,3673734336,1693484685,2346423555,362870370,2489686566,1355083513,1282218602,199404830,347489232,590074272,2249908016,2902407700,609032326,2905663401,416297660,1157963622,948697054,3638945728,662750361,1409201595,826766782,1622868118,104823837,6742183689,4780089208,1643305000,64894861,2587949189,6384532161,285190676,4090237800,2886657792,2881844352,2489612145,3805941408,1710018998,654080934,2073087408,390567384,194128600,4463668010,5882185424,3335187688,659568312,3548084764,781987800,2831883784,1417172340,1872589425,3504286413,801000112,1330997562,5760684468,33326262,2160867150,3483863970,5985293432,3015540300,1341855462,633419844,541544792,6727148386,756943142,2713414758,898863957,3058534628,666108500,611984168,567341466,967086622,1886326578,1008962345,737870576,793630234,841449340,7187569605,4394299905,7805536544,2164149463,789796364,5674962650,3706469575,4154315832,1171677784,2417301900,265595047,522556243,2275764530,1852254042,923698932,909742144,3720859227,163689744,3444907824,980769104,4456230604,1854883550,2867437145,507711158,994650338,1107420643,4460727264,2468089140,370030842,2507807088,7835118024,4583992640,2008847286,1441513386,1118459139,727904552,3609730745,1446770073,50797836,843516372,6353770232,971226444,2103166248,380782976,687782555,2452504302,4101177588,1313484333,7033178097,6285233689,2650799830,3998620144,983571858,847061096,2966883558,4106260524,330869595,3761458578,1417089158,516961113,224463276,2936723283,463764948,1503266450,2747289600,2331879200,742328418,400814072,2335285012,2153889261,2857506366,1841233770,261996756,5525817232,483974541,990659532,3443899109,2149963701,1978310860,5550706314,5480303108,3467833768,5105356784,5729781684,299785544,1207533248,3210292970,2932545393,3567355728,3397317672,241227216,4194648312,4492344290,2465671505,1000939880,2453928908,313982898,4506074631,2314584528,2369305673,2702941760,7464470364,243988958,3466996818,175261220,5514748800,4728304848,593289970,2232361467,1695770565,6463229184,3224999226,1327549904,8186013342,2328405030,2694008232,3470605806,4386922456,811940788,4468290648,2354105475,6660398628,6690669727,8609095701,696876840,2716775316,4868715150,4505592340,1509774153,1348306500,765248001,644711442,378803098,700589535,24359602,7459328664,3392610032,3461124774,2484016380,2691085625,2631675076,6747231015,5298325914,637964942,858944212,2183699115,4320267450,827236891,3203813946,3652678926,1972911291,2486562741,3103075156,1615279192,5438706714,2980881375,957859160,2105655555,2030969826,81196012,1228949648,617055212,178335640,3392898726,793814154,675753020,1871106195,746811408,780527041,6578460336,6557125337,6134557158,4833738483,8421358752,703031738,323531742,1587365175,316861612,6424954011,3869703255,729233390,2568162908,5235250995,76004173,2515510104,6548709856,1908992735,1683039024,4159729427,3821593540,614715939,2905377351,1912130360,276561639,2383370250,1648414850,3080785992,2693121279,4437450114,1934374365,1919069614,1781656380,475290781,5822347314,530926200,277216691,6135775168,84905359,1795393041,2202323664,374697585,2487364023,2045093568,264586439,138580344,669722430,4735996480,998022356,1351512742,7830421983,2482529448,854818377,2609742100,1519581140,1484598663,1969017155,567222483,3356453925,1301677965,1107909878,1607964258,209194443,6014493376,762199944,3370774160,3823743294,1438782939,1163518725,66745938,4483759062,1514436004,1287077060,683608336,4812234650,7825542568,7681843496,6741451283,819301144,917336223,2387001208,278365438,3001200956,490677444,1093016950,469044584,1985030436,3827284444,406316493,4452517356,4964272455,986022003,2587779852,2844157668,4491467106,4588595396,6520317496,4096585470,4823942760,569202675,1169179464,2295980709,1566010234,1929773310,6006468188,846901484,485146554,1222447304,7420987170,2072482708,1302789224,1607789596,3286981832,5933098074,658316682,3333717675,2552641504,222455440,2699834235,1922943576,6091857774,3691834345,3388497416,4695246180,823032110,6984105320,1674661474,4961742972,1289332395,1261272591,1388086890,2277355971,678680504,715452969,1556469702,3609203904,653217506,2324222640,5703913494,5723938542,3710296692,7716953412,2026476945,4847778048,1283591841,1512785536,773164455,848329362,938541228,4046869812,3588634791,995697322,2003678095,2778649376,1516567890,7262418492,669386710,1249192239,2196952954,3971374112,5900575086,8641755243,881643096,860671895,2551741245,1068832534,2499051723,714288276,400234084,471005883,799855240,4752309625,3856440456,420713675,200125908,1992315345,3502520504,1059692104,560862272,1214114370,630019618,1745118333,3015759040,3171399315,6525234040,4395865677,1139763664,1741511186,6009115815,715737605,1616800652,2428841862,2747491965,849616605,5512326197,4992565018,2236051264,2854414602,977696670,1522811590,1590482979,2957961660,2376013119,6644263094,4838831676,4991951184,2122860903,2829505155,152730024,7129759896,193341730,1617845648,1269296878,1296835430,4543802262,1945967808,1939311208,248064341,1223863440,1480966056,1613367422,15943797,8009313129,103377788,1228070346,4950725536,379185710,3877054237,257779585,1785277680,100802569,4610382252,3223499480,1297808640,3171377496,923337297,165394746,1229062527,2934376788,3336556384,4117549610,5253562620,2490508164,6764005260,4667059836,3144260120,5854638810,555092048,803881530,7839556512,2317228365,4650245733,3480964260,3767625750,596744739,4568691490,4863858855,2862559392,2422324173,975605868,4494466755,7022810024,3693007638,47269465,1152720639,1635423740,710434758,311743688,3892541488,1559120610,4448828196,875650333,6341471976,746775840,964391721,232654904,4174613009,299945274,1290242176,1553216224,7404468957,3183008718,2934827424,2051098525,1648192544,6959593368,1458087900,4664928170,2511122487,328113236,2288582829,1967537582,216133714,342111645,328495236,1042150032,3388684779,1431037038,3945171176,1524569985,2895014724,1524044082,6331006872,1150302249,2712244090,2644664364,1936764444,689216136,284726073,4630613988,5785992630,514643200,1748894515,911366433,2383615528,563512352,203540013,4111122540,1654765936,2202918264,4041240040,1722932132,1306467411,3119616516,675779560,4580987510,7296417584,2146136148,957277604,1551174065,5050398606,1291351600,4571157648,1889244132,645191716,7657319912,744991625,1171944069,478953226,3767965504,1842038952,123082568,2176662387,6783552168,7934493285,3597002184,1487500056,2222218500,4971971102,1450973511,2243852240,5932062675,1682171646,361836660,7323853440,997671346,565688523,3287741540,73917104,288089256,851876027,1549710870,1634187508,1862164089,7160975288,4166458317,223500106,1012023534,126575701,3936013332,509575652,396850890,1272620289,4761076656,988747227,1506310652,916781900,903397588,4250588545,3000290164,91484888,2041785340,167702034,99169710,865929957,1377173178,1781539240,4403226565,1340033757,1642389456,5165645514,194104734,1470949912,1813050726,2590083264,6050812056,74876064,7805123968,378179858,786905986,787503353,8930509083,1372006188,580693950,3114946155,358193176,649436274,1815740792,6905144680,2002244598,2850695724,1239388230,5874009252,848561470,894982740,2976424290,3906569296,1998161336,277287443,1987525854,18535874,6983204706,3907957616,1642278505,235513790,2922047898,883377159,91526958,6523865604,2500943565,2151597040,4710322880,4678945461,6661773328,2115308430,6885847341,270693028,6703520166,1591267998,155363252,1563352216,3412476600,1817826060,750445390,3275802656,5513998680,1097990880,40870650,2149062448,2231524116,2649941448,1436939466,2567288992,4659637759,5806893510,1551138344,1512063392,3939830888,1869942338,910628613,2309205003,5241611340,4182112685,4085978085,4621281546,4761500196,4489694020,2092642150,4704897757,2477380764,3846355674,704731817,3598309815,6783894,491785305,3212710352,5069143935,3642291425,637120351,6744484404,3322338670,387202830,3116234740,1621098845,276981792,617468208,40867893,1429364670,208159217,428442260,5732699352,773352253,3223201326,3476499410,913033896,6024325040,720381773,8691706521,4736020142,3695266926,5519396394,2284337755,3153820176,1576579692,1850223008,7688236016,2096865356,976485429,7849730928,3813837912,476683905,903538015,2374178436,2221158712,759962838,316324335,853595757,633845376,754933770,3025916676,1056871446,189212256,3626997488,295088088,332073884,4698322752,568754708,4521493305,4860733144,6077761488,1911874508,367767906,50289250,4871506735,291144210,2140439358,3951095960,5776243656,278499369,1479198816,2666399274,5744721717,2672306304,6019538,683832654,242156749,7746919812,2761770844,5202011016,8145987570,1852608942,4274432442,122256662,4525067493,1789240797,4740352165,5737456977,2612331610,877543572,4344818280,1456771192,5382844776,1199295565,1936732344,2268552720,2147504004,6024037914,581647896,252661160,2771206200,3257743368,2072453220,3089097438,1598939594,1605365289,5573157867,486389205,7750804410,5273550546,235491216,4293100840,556120767,10165284,4991084410,4118954490,1855007483,2973898920,251976033,1977997110,3926952354,5146201602,2009684112,4934735094,2794093760,4604486288,5260563184,79471098,872718850,96991874,4740020445,120779290,614796673,4784372991,1986314585,1447376748,164758629,547857888,4273463545,12575601,7221148668,7607394864,2222140768,1509349632,946639402,4805227734,2355271509,1142945352,4237707392,4607814050,484003308,3804328325,211031365,3446969872,1702188012,1419268008,551057782,787229946,1634085116,127709438,941640078,1671787875,5243849688,1873491430,1156522436,3269359288,1776704379,110819730,2731776558,4344477360,745541261,1697634130,1340881952,1862266740,3498849804,823917890,774016812,5705093556,1665239424,341280504,2702391084,1505414416,6087724426,973939345,5670296380,4953763557,384222212,4664169625,289765612,241754179,109851471,4720081662,2049342372,6464645604,2279976532,963153372,3347441208,6422780196,2055425008,1753886416,1773421080,4211076310,2926668483,2650182876,282935746,1154581360,288880974,1738967418,2366656929,367849863,4100598410,3291444025,5372217144,5103587079,888854274,4866783610,475071172,3974544161,702558159,170975269,6004997874,443586700,591528722,7354026304,5589742332,932304708,3992253546,1060294362,5856326720,1031975935,1190960948,8557987473,2262718035,2587889322,347797148,194929736,988621032,7560021024,2423573838,1389596226,1027493928,402416670,760968114,5647495491,1537947033,1641277988,1748117202,2853376773,3221509230,49374976,1312451008,6110031296,3202475576,3257987600,1458730146,297289764,5700900807,1615150536,3728053320,5194153699,1085379936,282984598,7205914476,704599464,3722807151,5084336985,647072230,760127795,2656579220,714388724,4096385635,1123041479,44041218,1363870410,568423326,2317392384,650080353,708831987,2275503546,4459584850,796446310,2051102016,185996100,169339716,5261175297,3845690667,5880809760,1672283184,824769848,271205635,5383528408,1570786754,4522157460,3794412732,627729386,501189138,546205682,18025426,3951010640,2171533112,2753557288,770886046,3237575615,1792168833,429049844,1757887448,1182423288,1411342662,137392110,4711429326,6624502444,1031804642,307185853,118418828,469503240,4790216018,6558205336,5868432822,761857704,2513092336,1788141672,997562496,704328968,1863914306,1059577036,3238746432,173806292,2393998243,375730593,1686111512,12351624,707289910,837691660,2642481837,481686840,3372875576,1137328198,3618391728,2796343983,1429354035,2410685193,644752919,4052753880,677918376,1153004424,369526287,2060682912,711036073,1874999850,2402572172,1143849416,118726403,631277001,2093729436,844835458,3383561830,4776535300,314818810,2269171360,4546612632,4974609864,3795438575,5444913320,4790226230,2692863455,2622344180,904477356,790604532,3018836340,1449926037,5102367804,215635070,2189743662,3284723496,503295982,895866526,5370938616,952536284,444294548,1503244638,751244453,4679748522,1846310545,2962595640,1674332937,2061994980,3634343390,4178803132,845477169,2926387050,3678791130,886073659,917596290,910400777,1017833836,2723036220,721616055,990173875,5590063512,1004700590,1307459652,3973230369,2270939000,1879642534,342236392,5406676,2397346365,8201633742,2782960504,225624555,452464407,484407388,2837133999,634337304,4477469745,5235262857,2535385602,5574798810,804610270,1621081428,195960437,3408849315,929915448,4817371290,819326488,830464390,217448590,123928483,954318030,538307470,1513381650,861653382,571810804,5625889461,1626950730,2603593428,3073020888,5455329272,18112944,643954514,1257515074,2848279521,1423660371,1642925865,1365868696,2518183194,711138030,740087516,898897377,2817454810,403668453,4192280470,4291022466,599772885,977690886,297653236,4572293744,2506785066,4146888318,45821672,86685687,4810345461,252597784,909407228,2030433784,2212116985,1630382144,3912047881,5301950154,9015315,150978777,284419658,86768805,2978525253,41708611,3299416106,1985422161,1823357364,1970199734,2209797555,2082372523,2732690415,3727529075,4154776326,360038460,3411470020,1231124244,3639847710,7121879096,2531663465,1333310436,509444691,2622646503,114150407,5497365006,2244163416,959752380,5423941376,861394288,4889870358,1217572515,174896014,5295841800,850744465,1115173784,1697353425,4220497881,1144029516,999768737,1199380160,857378648,1810126796,3205092771,3936122735,4188881945,2220728027,3684121416,8640773748,91354077,2971208088,515545735,119078258,4372376418,6692019534,1296534060,1119362073,2923892244,2075083470,1683457732,1763484675,4507520744,4685867418,3836833060,2137064295,1892424814,2283221451,5934861297,2052535848,1477205788,521459608,226188264,1577702232,1444122512,2937499920,1392134860,1371920712,773902815,3445558880,8271406647,883774077,2797029856,910838917,6688309266,6640742340,469557324,2656138704,244131987,2636519543,202918975,3094595526,98493446,2971891405,571885440,5204661070,4624886190,3538527856,1841390082,915942518,1923082552,4779153000,852592316,451995605,5890736166,507006809,781909317,4432450232,938478318,1168483758,640824344,5306384394,532380621,4011117750,666835173,5125997723,2233062852,5387435620,3720263540,2064685737,5949900831,1697791060,967446069,1802200665,1521786466,3837557025,3335607380,1493481330,2685409355,6787407830,3594647208,170027704,778295510,5243227934,919011008,2855450958,2975352093,106027656,566429152,892108425,5068323333,2533381984,376572365,38895897,2383842540,2742129720,907561597,66535784,6351658320,2645577972,2311517872,1240583138,5570415054,173881884,2521817523,5394526194,1774054740,423330428,6200428376,3885841680,218086344,983128430,419806177,2577119454,15224457,772452394,5053463556,4696215945,574084310,5619687493,464293964,206405087,6135143196,3827893080,398824879,1810965152,2026353070,1805926720,3008537250,4368924760,5143647216,4587009679,24330204,3700190795,1066329474,5455915146,295992708,4254921104,1327178355,575895168,1081706575,3344048592,340622508,27061442,6767513968,59854814,3606097256,565411878,3814712552,1717089054,3323435967,1570095410,1635755940,2143823256,54158190,4130989336,2237361480,4368211432,4261947222,3484725140,4657681610,1681592640,726223623,1868556069,5386743162,308990553,1297853193,412549820,972826464,1611125050,5238687160,5209679272,1130628158,2104176567,323353832,474474590,4867231740,1201053568,2406431499,1221595995,308409998,1627103394,605568072,1975312845,1367031124,836245890,1789022340,2095861708,350900500,1434917855,5779103918,1934540846,2725829181,287050268,5471392464,3535188700,3200348028,1233541828,1144458242,1234038624,4535994078,964096482,1581707898,1870269921,551774616,635810520,137323660,1871791416,2721912003,4662158504,3372808072,2864972565,636464785,2858681814,7445550904,1780087912,1203359942,229853647,6739402523,411213861,1993734426,954293502,2764559596,305345032,543099356,3544553850,1468615288,6680454723,2609115642,1130476614,3474635952,213296848,1631778491,770691065,3150387392,1748014640,480726348,2817847816,2785682100,637686504,69372120,1497663548,6928910170,5795649084,6363663999,3211924926,2004551622,3461924792,1036278249,498992752,874661226,2526834415,411683040,4013627408,5028067098,7070680856,3665942010,1040777368,1491842046,6773080368,696045640,90602784,709293132,3581860688,311339912,1667196086,3137740536,1624886851,11897540,1922533596,637455825,2089120008,247129981,381512114,4612180600,1406335875,4586105307,956230320,419357270,1935961340,2605287276,3247827318,3807130704,1248767178,622169982,433015047,4378015048,960111929,485894394,1942159866,924999808,1509722252,8421995754,239419536,50579856,958938674,7226284932,93488742,7958211138,3481935114,4339591620,48036276,565571471,2924734460,5960816352,8109961677,6172573155,7631678646,4127865435,3666268840,1046439716,494196700,4055483585,5644860150,2670072045,669657842,7801089008,1184557324,411607238,881362088,4280059312,740766138,4060453386,3861013440,130869598,3721331019,4921597260,2675495960,3369497125,629754170,2445023343,7702850016,2189751445,1893200418,2577427278,1142487110,1097511522,2595820495,703568713,268288083,840440075,2412518752,348294767,2754853284,2591828988,5926898775,5775759690,1437517720,2559071048,1943301720,4879991888,654282663,5721143130,4907066643,342199680,7598180496,1329397092,278782182,136877232,1030276572,91430541,487966177,1289834688,2050140132,1767677996,931618550,340960399,5401837404,1790124880,1931017148,1342114578,1535812873,3811216392,6573529536,3961955935,1228020896,902582986,4163812566,4805783056,581311205,2465822732,4422960392,610461712,2490061952,1050543750,3962263515,7371442480,2570769915,4034974657,39492980,370246424,5414804688,80992023,6858579304,541895718,4480187814,2882281626,1587887976,4703767453,295401240,12344950,2680354976,124409075,2293251645,2195673385,8223956406,932901832,1760258094,2798632432,2548427484,331815124,912050410,2926645528,563589368,3116127675,4278565570,974440752,527525414,2776768074,789332028,1926218116,3232656090,2571668760,1652657130,5268752766,3028533744,5899902588,6873408504,1860253528,3485364018,2534687841,586454814,651886650,7032053440,1336189392,1690274037,925268315,2994188976,3627423688,3141184190,3079674300,2972611971,480804930,1249134246,4653840156,2247836790,6549807336,187482840,466188732,1299875418,467140527,1903366230,5970151398,701828048,3120123102,1278720428,4758392410,316821843,1293591940,1680733522,6186867386,29328913,4276568820,4513619874,1927714550,1938573296,4565991962,3878164110,4313329482,4286702500,566361360,2765714296,2257317650,5012975439,1302832818,316138236,1120200855,906804340,908570710,585585912,591568066,1349846418,494413296,831745470,6295072050,1446303210,2312351504,843401430,2738271176,5498986224,714988892,430379928,510922963,1110863666,3251210694,560369402,6025546884,7012510712,5718890169,3505390146,1849426404,1343798680,4925252946,1985619003,2720915145,2731769552,684817262,1590565195,1026326076,6667260481,3567119732,1989765672,225924873,1224409008,6074034952,5296754,1748691140,1012313104,3309238615,6996108944,113669693,1432960430,5794262196,4060870471,2691803984,4567248558,3178624504,1615497330,1032676355,2569499968,3482330112,1134659012,3637777865,2537882095,377065431,2234018888,1709657135,965528214,1588235564,3127934380,605156022,996462597,239962534,5130800289,3365192784,237582162,2908221470,3899775520,1755328556,295179407,3927048950,7843114848,3297262885,923011569,611788284,3637796748,612362580,7834078431,1560171310,192182416,3367629870,8293674825,4290750828,3182932060,4869917941,832939366,2339234208,4281049336,1939198860,249960876,4904355492,7862530680,1396175788,7157274104,779666880,6846389262,3473089011,5547130200,2450183344,5263228611,598247427,433358478,4865004480,894037503,239565843,4963101912,2163889355,7762775751,5530268772,1707165000,674073928,2858545976,3603650694,1755494394,1691435565,1921254692,5860433178,268219392,3028908348,56453999,6556535496,4612419747,4797137442,805620161,380170601,154065638,326326392,977884186,378769344,3962464424,1185682337,5341588378,2042086911,2484102390,1232195760,4385467935,7696223577,1216256496,4410954456,3826635685,1900599128,2708436744,1153262184,887256992,234576288,347957301,1501160496,2452123188,2538726924,4792633360,3882033444,1721896008,3941229108,994041228,465327726,2768927160,3085173712,1357528220,455373976,63730710,3992818464,17611573,449388846,4968793571,3487452813,893598608,804324351,4032180768,3289050018,929952339,2679993976,5879774082,3764408640,577667330,478533708,1775966708,2439894940,1282578012,972963563,5896350971,3910233748,273934230,396321615,2709835410,667870424,1486779602,2833642216,4256042861,1607105199,8583723162,3115694628,285684646,164313092,261079188,339739981,1549109288,2202836153,3906274230,1235840319,1186932901,3717788840,1133205980,5764303524,1125745278,367226300,3912343224,30073838,1223039656,1512476861,1916748288,7627104624,2274222663,5050350348,766646212,3758905878,3373492851,5350512024,1549585154,1059497442,1258123545,38782840,3848232825,1825810857,20179880,938143109,293986158,4756321792,49790766,451276447,2253093759,5193621837,3121778910,1041710614,3933088080,1506243930,3729517712,688268350,4349065620,5808028646,2266361875,3547575108,3229862664,6495182440,4653510072,1412177122,1185471192,7411237722,2001749853,4793417715,2291918520,6511374224,4230936810,604340292,1582398174,933290604,450236079,312892776,175316316,203351048,1913060214,2555883372,683973160,4896703712,2564180692,916194525,1145625240,1860470950,3807607444,1453806392,1865500622,736804820,5963357834,1831195518,5136279288,978601510,2966068584,835959960,746732205,3303575898,826547740,219122637,5036166552,5473772696,1267686570,389802908,5400921090,5177052447,1225046952,6928866602,927771064,3141477216,2709936468,142803111,581929196,1388058305,794635491,4484137539,2240106355,7418829360,1305903330,253500977,4336872960,2258924132,2418416848,854104206,41429589,595416296,7487778784,886881906,404472334,934863855,6562068696,320056426,46381072,2673967011,1790139609,963252222,1331000196,3527571887,934424198,1715666532,2959335064,1416758904,393014487,274792835,3239975776,778440758,3201476520,850826056,3667653052,1194801140,3218336744,1578258994,2260126233,6903136344,2833348707,1608931722,546534216,5563391358,1870723878,416370789,886615864,102973348,6986965338,3194225844,6691925331,2481544912,4187551851,6497166807,1075645272,7496214496,2813968068,397977775,1417711372,3113883795,2017075257,418799190,3388708926,1326993500,2397311225,88007304,857058396,4850864176,2325839136,2455894158,995558628,588756317,387620142,3704897916,641031630,2551722580,2952854530,4986757670,1251218912,5185403226,1022577612,462388404,2474885238,1119412572,1684816708,457739825,3700624116,4477289000,2309488140,2850552608,3350743158,2119483608,2160903402,927074547,972852828,3578250156,2584835584,1219819630,6119231202,600471933,384604187,6490924223,623802064,516055854,2193875895,2851691520,6497272112,5695317396,5777461016,6329129653,316663038,646362018,3324116608,5342472976,578299544,3536567902,1720214145,258187060,366849320,4529232168,1975070000,4600877016,5019926670,3210348272,1276449948,375417186,3502808710,1892684664,4915252176,2540327024,2142745048,4179101345,4941255006,3409183232,18802809,1270410360,1438094472,1545559132,2605916034,7547207704,821127352,1472404508,3807453832,3568190580,1098972512,29381751,1263482850,1931190654,3924310985,613328238,822939465,1900351462,816765293,1484167226,969672664,925058059,5188843110,3914546340,473263315,4366784505,5573578710,3068705016,5474146920,416637144,588789456,3902126632,1413699591,514619365,2846761455,1393843350,2945705975,3601411058,3750551890,4557405,833096094,203754705,1578325430,3451981705,2801071388,5001910432,6060591760,1845940885,214156529,1746890748,879345028,440698824,1973886914,384955020,7988186,1676444412,2687831812,3242376456,1315944962,5267147040,2756607900,200520096,329150516,5837510763,5155314248,5231672369,385085862,702344108,4443287730,2416723656,6834282077,501035303,4216483640,1995615582,3009977046,5133527118,2999701196,1807937765,690077798,766235241,436866917,3556202128,856419987,637160012,3571090744,7382191960,540349074,440268723,3267843180,18084050,467419649,1774131650,459256196,826591156,3457954864,3374047383,710585181,3833430588,2530164585,1208379009,1335502096,2275379760,547845818,1150501122,5054087968,5123760355,1208046236,2804378598,2002299453,220364360,847701528,1411952248,3800667227,2802045768,300481848,360162715,1063187040,613171021,515294105,470653002,786932800,4231437750,4472709588,2748049353,2393184894,83969240,1966454795,4780794177,2903266835,4005838768,927744695,16244359,621449022,16603250,2265058449,65306006,1342503336,1184310756,534111486,4467794838,3498797124,796560840,4854648396,2328644820,913650006,377267454,1172402810,8302948839,378609009,795030393,1039601532,7631022141,2580295980,546104982,1092462336,1495043528,809037674,1018639536,1539472683,6631552224,6120643920,2667229576,6761814144,438949602,2326500471,4645824675,3163968920,3915680532,1756055308,128356192,2723011676,6718061664,319329513,761530907,7191287896,560399938,2112174867,580556001,1973640692,1862831832,4512104424,2615618418,3739938228,1698935769,1494263258,5603826744,169074330,444647280,27529396,3830002680,3132874880,3690631056,8750461113,895573218,1353108407,4379883560,716926752,1851160743,282223906,5299809000,2356960782,1096008872,2739791624,8216093763,2334794913,2971520367,7819051230,635680675,1807549961,2771490471,1576965160,41124429,4642125924,2857817421,543365196,1009977748,1069296606,1961566604,2480422790,3890402572,3080447228,145375473,1524497780,6952296274,106661826,1616658168,4567172295,1469376252,2818330284,2412400158,4596620040,233314592,4709373928,5286399216,3927108064,4222067070,968299113,1557219201,3103612608,5186171136,773202185,32004456,3060800280,3438935353,378755832,2448071562,1076645636,3813792900,610786590,445796554,3093156983,4620819000,2272928088,3287825292,1058740308,5419118754,5297907510,1155518934,1222602985,1637074850,3242404096,1527150327,3411319401,8659244196,1444471932,306930148,417182576,1067281355,2228550440,2016024324,6838580128,5381049672,4653460704,145292825,5100934118,2860450280,6529891680,2193542057,1447062666,2712099528,912462156,4621873032,4127722375,5339101040,1806003353,1162694258,1795747919,252590501,1687792800,499680867,952148101,159944821,1412449044,4295116428,1867272080,1367756676,3778185006,243741920,1972084680,2406681240,91119242,61563963,3894426872,4288762536,7098660990,2377644956,7719689736,1482082049,3665335044,5738311201,795495560,531797472,915210478,4583307610,244665216,900074454,8391627378,6021230453,2389813230,11212800,5009472,949972454,5891194288,61180440,1830983752,5311653193,1565579040,1611628167,2709399876,7575641528,1859654670,2297846128,3084799932,3242228435,556196014,806548204,537900331,362245685,1747063540,727264812,842507692,281765436,1023759938,3712381140,5580358932,1182173541,1464271720,5653607560,5502040704,1642997988,898983694,240659076,392445480,1789695012,1413055000,180575132,7741901358,1001953948,912652382,4261382664,2018024960,545549415,1272012777,3806505245,1525885768,1872536913,767983665,3930986365,1379553612,836943687,1153573625,3576669664,1716530240,2064614340,2851100248,2129022140,2123118280,833997381,4159532248,49020696,2328148488,3382558528,4479327075,227654665,62342478,3069444468,3945400892,3826236036,7979282696,2037204801,520545250,715363071,1475890641,1167688264,1427303334,821701640,126999458,306420605,1604700285,368273466,6910297515,2895778067,453313143,2430840276,982465341,3771412656,338258378,3331890960,1689470912,1718801162,2046767516,4758086520,1698009320,4206487490,394923688,2663973459,7515344592,404097660,4345013526,276216452,808547166,3897358227,64678000,991546112,749460847,7388444997,8864515809,679792660,1723380585,2850178194,6930157376,68895444,1753106310,1067923172,5521702669,1885954454,1956370404,4757362302,3002572083,2069125086,2497214785,4958572360,259803076,700906064,476231904,4510707220,1209862782,1886954155,1305867012,3800837360,3070751392,5618458086,2198939415,619232474,1911222321,1103286402,1541773499,897540210,649580690,155356227,2046335040,153803250,7500197352,210164382,659181980,7725123936,3346867448,1140648470,4272260804,2716248868,2946811860,1248668638,3202998435,5040388560,2960101984,5039963466,470566884,1374355724,2632853325,1896463024,4829570262,3594362940,1023911280,4153766330,1779627120,3985255900,3416238120,189667668,192965850,3426520165,325907448,1098582216,659450552,117502918,500199182,1441261017,204026576,4069823445,2155017408,1065059469,2636981301,9707900,988448624,990671912,4526023000,3254961069,5533604727,5989217823,1562834376,1156543720,305499968,4783025094,3110843888,5385595784,4266945415,1944800715,4144306192,5916937968,3080564048,445985696,4636204510,2931624940,1012486720,5416452999,6432275311,853692959,4446323544,1868914472,425157512,102563543,160992597,329499180,2485004640,535191812,1054232084,2126440452,285075998,871762149,185572966,89486022,4431618144,1793447120,952294845,3003137235,7934683976,5938568478,2492927466,5215651821,80562359,877092892,4689051507,7451953344,769343594,2100841715,2936835558,778345587,7442406495,867847888,4869923028,128610608,1792125181,4982789430,704293260,903052996,1246474004,1723342686,5690444436,1208246545,4061847042,1817029249,1653308844,1915918268,2024949555,175368877,1827497016,5761074432,1614241376,1873572630,3122555628,5771621450,750645870,5843020673,7387558552,135005305,1981270837,5366307737,1005413280,3268257890,126312558,1572653175,8798266287,18082557,2428187225,1491717846,1961870248,2852380083,1399277268,2899492904,5688386712,8603498025,549902094,740996828,6139670299,1442400776,3631584480,608321952,3426280434,1292107345,2727760076,544205218,4964583771,3006111879,6365062953,155797632,3840877664,1513707376,4162596450,2643015292,1268332287,1261140585,367656471,1008064300,395988852,1810958040,1689079320,4214257050,2058637700,677227838,1096542142,1451122764,74764332,2035908051,59771489,2839929785,2759449722,865091316,2523749172,1915488702,640801782,2364808,1720028402,2906833988,722671509,215203630,6350520640,871551330,3613583785,3646226088,3900820410,7280646651,1900044265,3304410123,153563980,381070585,3305150105,1691312580,1790107824,6544124576,3532679265,3804632175,6574008224,1445066487,4117416312,961125915,5585345784,2417630032,1988078440,303121025,4791073985,3441100456,873493737,1844473554,2957381604,305376926,3551565888,1621027256,2088793560,2722853544,3026142208,4548127635,259399580,943749354,898473755,3502776750,955376672,1964102010,5015937430,7404082960,5844132744,275214755,3749049714,1797574588,5362559334,3972755148,311050152,2519485888,140141252,620771785,341234320,458899431,5961896424,816857643,1895910052,600835982,1162769400,1389590380,2002041162,2526802230,3136908500,5860523606,771446527,1775899332,328874182,506422395,7140231000,2548300167,3001936756,849724822,6336345071,802541025,3912094529,6543137043,215304232,187736301,5472921210,3471777104,397013531,739289188,2850486376,1089099795,6315513786,598032904,1984890884,5880151632,1304661528,1362148896,690918170,376714340,619292808,2673682716,5770015938,1634712150,23613438,934420746,2447743760,735492188,980918080,2260009885,1125840704,1952846958,4709433290,3356931487,3778463304,603988073,4788748880,6277898288,3480731456,588158064,947077050,2611230966,3661860640,298991212,5083656018,2104278888,1560118958,6560834624,2229620575,1053318284,616263120,243169566,7524020286,4914219420,130643292,1250465292,662111676,6958176928,1993144824,6569773826,2553615324,2514882940,1792172661,5415208876,953470806,5246027118,344491155,128378965,49454168,1585767090,3900619464,206334914,5581406705,4757609730,271145555,2393127012,291123410,1546182438,3617094414,1081556720,5073778010,1342066149,1181969220,166304718,1478249460,748164151,2118077382,541764180,4783174704,7371935512,1408406472,3465985914,876665279,1860336746,3561962705,1847557080,6665326164,5719846760,2265512382,580558746,4875914358,407089755,843460210,1826507975,2910271808,6814771808,4696771860,1986580195,7857239382,1452729900,5104370520,3696060804,5899496720,2601087897,1987466127,3736292440,5385062430,3525987272,1181870598,7933309528,7755792426,4274944015,1299372444,2851308414,904281292,1004088452,5265280566,866866326,909196948,4184318035,2358166098,5807029275,2294607304,2074763601,2617262084,7679430328,83895136,3012394119,2021956560,18028195,1558576698,2316329763,1608572590,1680546508,987571914,6196442161,1532407688,2812615680,4292921245,2537584542,6620375400,1421169236,1615341240,331871135,4075794520,4611231280,1044428226,3032328177,2488666180,233110230,199610006,2281165257,673577445,2033026848,2021904944,817909299,4557529767,4004424875,1684754682,2224389264,3293002405,2213492995,566255179,367151328,3521626456,3215446945,2791717660,248927590,1114184141,5611276181,760061266,4316655807,5442878070,2627397675,1701888020,273031670,6859383408,6509088327,2885957675,2228083932,267817008,676473237,58487275,752536446,1072455832,1200106230,460694352,1412295518,3299243320,506268185,605743002,6077444616,2789646381,55409992,772879458,5881279272,885496527,3555766612,1008600456,5646117195,424424128,902838082,1647627603,277047570,692810957,203593528,1913065164,1543245356,1032210552,777638889,1673210140,2938482717,2077541613,1322062876,645111506,357404220,421461138,799879080,5160571717,2960296461,1822526848,1544844711,1944821115,2042012636,4080443997,419924504,4006234150,109188492,8093038563,309519234,1479390696,3982105288,1037382562,5702717256,7391353160,1385020743,5473397531,6150109189,1338979664,135799614,65377048,557971577,7317591993,2690767962,388782904,345429174,2992821750,1078576195,1784715880,7043347856,412067056,3297554788,314377320,636880170,3031291556,190794363,1224260208,403948731,8916845004,414961903,2573138308,2926279935,967163420,5411777766,5353392568,899625052,1439719443,5753940198,8718843393,273678576,4326039830,426221368,3441118936,2993855016,592532002,2472898659,1529061821,1183505812,425689370,696784788,4605669372,7191196875,145439256,425689076,7577764008,1191037170,3649810950,209082350,2877933840,6541534405,5530126710,1522301109,2070820676,1308561040,2600747844,866574928,1833150711,1106647945,3698880582,1736344967,1863495130,11061984,2601136191,8951016546,2567313208,1158421792,2735153950,3470012574,3748347772,2304207962,1860971788,634994496,8552329542,2631034392,86111976,3231052155,2727218652,4873710885,3799736490,1057643236,4761327739,848434819,2127727496,1334014024,947768841,8535493413,3495525684,6445208539,2674254532,1648071048,437572926,2155832910,1269888279,2512404720,544674915,4926157915,1698187888,3667735670,2810647996,31344710,725089757,414309585,1952502086,1541424367,2035138273,359140227,3477072990,1684312670,1931458692,4799668660,1417593660,622245980,941569809,3988893792,219950649,558621012,3801215128,309582120,8604142713,5951191720,2001467885,3793972518,1517576669,5343481128,6488937954,6540660525,559175525,1112445258,4209617568,3310277824,4087924915,455282748,4371659733,5783751928,720393879,1175634438,3507603425,5858797864,828849018,740665618,661167891,558195708,3553420576,7525970784,301159176,6444294633,5044440132,1882743498,6943273074,147242438,3503429736,2096676570,3177246504,1022993909,6472566625,107330601,1359247842,4356773120,791962971,75701260,2306168195,527078048,1030321263,1240695690,317084367,3236157113,1652380136,5200510128,490574406,3154898595,2626253245,2852835624,1534363586,839815647,2023492452,5699461600,97881123,5940273168,753218802,559963524,3160717371,4083695165,1923704464,3884074432,4533156895,735117072,5689541504,7928433117,5033608168,1550769585,1738612600,1944031725,589912375,1755124071,5057417052,300909069,818681554,1134537690,687717162,688611740,6930469448,39078880,1206599886,7202381976,7410627243,1518071584,4100518513,5602495738,5125940136,4570363925,1737289940,1262056888,3467107504,859913012,2731326815,1415551228,427007217,1210889934,2288286837,4854487620,1822776277,5183126550,1844777730,760062024,265276398,1757878990,2432520018,372192276,834161828,508052991,1072588162,2321192936,637141919,6303313264,1054883832,2455792323,47043071,2797870056,642034812,1823001565,964884371,2118308510,399201089,395258373,1512042984,7724640600,434555756,1374851328,245607376,1182464280,252972661,20164959,1804921776,1621357620,3261927504,747109240,1697505327,1595195792,5098089661,3599514171,2862258549,2717017200,747936414,2345184651,8001654633,440836303,50430632,797286915,3645777569,1662526593,4167143392,166444630,503127765,2274227094,96366666,2274472689,3954598,224713814,408584841,6614460930,3346470596,5785401454,1837111392,1504156983,4450991535,1346183408,1294976810,414152334,2881699856,2010354300,2567696845,1276143552,4718619594,5004632592,8432887302,2342772984,2679834369,5472916736,6832882350,1960966242,3138722436,724128969,96150173,1208692457,6216752664,1734187620,5731431684,1332007038,360574935,2109155820,867900177,1779235688,189820440,6955588530,1053082386,2759396085,2099702505,1440196416,556675182,8874752337,1614245635,4658602572,5936476742,5317157169,161893724,749045184,2179002288,213318012,695621204,1193263856,6311304615,2400248508,1444303168,636578052,1800866540,753539870,3020795616,4371979950,4696044080,244254645,3195191985,3170741385,1557636734,1312064670,4830266777,2137694850,1502689604,7801839296,1682814364,1595475036,1548956196,2305054368,592398036,1039200752,5075501851,739660824,4956347697,947677958,5644993053,3360681904,1333344642,5825006370,1972972131,1190232340,4826793111,1523307006,488631075,2549852328,893173041,979611066,3766849552,127687964,490865980,1037929992,1998492204,662327164,3332752604,3183212172,1294704936,1370773558,2753951679,204262877,2098340980,752398275,89937048,1958604363,1255304991,1257503335,2552561606,2995287904,3238463070,5425147323,5827929312,1900966802,6043416057,274502288,175649408,5471654418,4877086312,2664926898,6336502522,3986444185,390332491,751996928,251389674,493966393,1264205558,1892126204,1919843322,400112568,1250138995,69679656,179137576,1681237449,524804184,1714393107,1782042220,171190826,915548826,4950257504,1385405840,613337625,6438326112,148649067,4697473725,1099066344,267650960,502035720,414047548,939964200,967020012,4501252914,655145880,2759528373,2263039398,2901761864,4274777220,2076298135,582096700,4034234705,3049936430,1793909094,6229651635,8433259641,2073688660,6963265113,2201511512,2137930230,5277240288,475160342,3424518476,209035412,229229460,448279846,6691591347,249660394,3542791415,2797665192,1865695744,5424621066,707951400,1178271040,4681978000,5318332824,1716233496,5136746406,941667944,1551322624,3675205104,807215041,2945604632,1146733086,4477777425,589249382,1042216942,92006096,2365854127,2225093370,1198557400,4621343400,756808376,4202717675,3816061584,1351767344,12762366,4358828508,2503477278,1651832676,52165968,3914365690,843427829,757355628,869036021,954440829,2660330170,198649897,2868911404,88281280,1034686020,959626038,971698389,3909082328,5133314896,1971754944,3953030890,5452663288,545244448,438089249,8381881890,2178223194,4772373030,6103640550,780546544,5134890408,1652961965,560207124,380581557,1568338778,3053261323,264180427,1424916126,2207736784,2041804512,3557928128,6236708832,2288135068,1445294040,407615572,2884049752,160469866,7142372304,4399699875,1675054180,3688054072,2924175212,7560751383,2480270232,7473500816,2604572622,1954940216,1894374182,5056395088,5876649642,1509722142,2215975572,5559037440,3635387088,412199730,1880460692,3939973152,1684987612,5700242760,5564155221,1396945480,4941670645,450486383,31557715,3503814624,1085962860,2244112184,5931278808,979228768,3542458050,3229247889,5750232294,4818411230,2224239549,977015186,236432324,908483736,65513975,6590833680,5856791427,1725274548,84950268,3823391988,350656312,5178613344,390818769,445439124,224344734,6364519861,1177264048,715584864,6089197480,351645483,1166998030,3840343206,2004775320,5777368142,1256499708,1988745348,4880981680,3369016612,1358296452,212620107,50681290,29863670,7868841696,5961696048,899344938,1566633516,3405541614,5973663115,5366892636,5066730928,2795083470,586618218,1684458484,1658388735,4308906895,487969155,1247956078,1564903404,151998217,479789949,934188708,3427136370,5774753208,952762884,263945076,275796760,294264986,7155948088,3720727372,5659637886,3199025700,6031821817,637091568,1383107148,755606284,3985786095,1515948660,5845198572,4986127030,2896319892,6276536742,633635785,2422022519,207853236,1939756665,539034750,4592349275,5099748204,809036171,2913897400,4276135272,1730561259,2782317960,2359075281,5658177636,4237824900,847915402,3002856450,2803922625,8156540826,1471193444,1064697860,3182781188,79667466,2288049252,3487209426,1063448442,4992857784,47548773,1854339215,1209918703,71207684,299302824,5660589879,345485838,803382449,1646427104,1793551804,3110077656,1635762300,5661627336,472429380,984332091,3071184242,3876595980,3438340144,637735011,325565892,5225846744,4931502120,2707999848,4635863064,1764390846,1493675835,3465440430,535588020,4548022840,3656514510,4389244480,2924331,778467140,6445080960,2567050236,1090478090,2581403583,4640036877,3158458160,2407431255,950003394,2637751338,5798486072,3143359974,628325292,2203195236,4754560420,38230515,82909012,3837190104,2325890580,533903475,63607454,487875650,2148032124,1396870962,1821175719,434391300,2328965723,3578787672,1939978071,7915432365,554012305,4576788378,544365592,3404360592,2027789290,2830025058,4807485372,3274734717,949987266,1154721928,1972839633,429849424,2912059557,2715210808,4001576344,1244149456,3253886296,813896364,2560920021,940131540,446985522,986829630,604914555,2915622372,2873840036,1022822304,877324764,1797158240,1469067334,849721440,4523657370,245322760,533975200,771750863,1025200164,484663355,5957582498,5135501328,1052502630,3890820096,3959167530,3974202904,685303442,96751379,1869630842,1551256964,125191615,616005510,7429755344,29986468,731284368,3283690940,3843036600,284941081,761137575,477433715,510237032,24140182,1463254516,2465800040,224375208,2702683557,3105535836,5218124268,418366172,6287933744,1344526294,1974367656,443141559,5084191512,7987325920,6331239240,6701629504,2449328900,759126716,3789570644,3796326585,623437216,1771768980,169548391,2300369215,7361018632,476142052,1263674608,435101472,3197492696,336508650,2228776314,1947557360,3690463761,2024911480,412018704,3992628880,2027064018,3204681597,2805803252,514522089,4263331320,1911655380,4184688472,7762171304,5756680664,1480935634,12418512,23366614,2261177886,4129397020,214897750,715989141,2579857686,3378071016,6886386760,7791850632,1238685900,624312364,5803992761,771799704,3312911785,5936494160,875857020,340198670,3471856218,4221222957,5560228177,4772160400,1720392276,1876794360,989109184,102033430,126190273,5538764286,1394783892,1901591544,447938264,794304632,7529080977,5549245640,36863865,546765154,1983611982,5507514600,2679126057,3313584585,3193450395,3878844966,5142995094,3477288720,1861426322,1437520020,413499826,1030344216,211778313,5257735938,5154167079,485715694,861762594,4460834376,928892143,406340595,2674228970,1854417188,1171462530,3292997864,1401785925,739026390,679668896,3181157255,1161297864,1679461968,4807958031,5800161500,887583840,2721764361,228686450,2981633136,3542936808,5393355422,2645712537,1559365482,35821387,7425388863,3780314160,6806379902,3294075400,2064390849,2278107600,3256170440,2690227323,1057700799,1691174166,865837105,5196082906,4594384952,5608346752,3245847725,2793995820,2237398092,3021155308,1868241744,4296494457,1283608430,2543292579,2181264072,3401761458,805684341,613381483,3329594144,1347094436,847779316,893598170,1292902479,235273660,298107564,2245790394,429230650,7436501432,2409129120,2978509482,4581303433,1513356056,5585436312,2330417820,334893857,236954897,602561042,5093449692,93738000,1303627916,1531883592,5187658976,2345164461,2449297650,508789671,5534768400,1643570650,2255578065,532236816,334713024,1896012369,347995500,3065703156,2466125348,6712621125,4558759370,2748745496,4986125575,3655579200,4961466800,169112252,4660580742,29477328,803381611,153399480,799947567,1123496298,1471593750,797180070,8456256801,1999731652,4211943750,7465355048,1531899996,5220988409,70842128,2496447610,4653802614,4887707155,140464552,1104482838,323356290,1458993570,6498931488,456321746,6551487680,772044400,3805363548,3764227470,1513122594,2054621904,1560657560,8706805416,400714833,1698321512,878580981,1430188557,8867583,656359742,2092074144,672816364,3167894116,1832726040,3816271344,523064624,748361049,5639065014,2321969580,1870407216,2435630376,49429800,5407931358,6445215320,2274797760,2932167144,3062631888,219109008,3870179600,1075294251,1829382910,956418741,193992848,4018937835,528375758,1014879864,2415541340,3477854768,2308853512,2637263094,4514919396,703500353,4774781346,753956256,7636896944,1037670655,922062645,1489811665,803810841,5860176750,3908481114,571075685,4796904005,484800819,462847532,1800078688,1034500230,671594855,454269652,3513363460,3676735500,7464857679,4844218830,1343490240,1853732392,1630661572,4368434144,2570988892,2331735456,825270708,2668624368,4212167256,5207089888,953988852,634347294,3575092284,2633273070,2598878373,1329162250,323089746,808700694,149262012,1767102224,6844808080,2170898088,1475386252,3753334062,576586995,475651386,152093923,2461584261,756339264,6677235999,632411484,3591415268,306301100,1983793342,4539678475,63551166,440548497,6412976675,375913888,811053544,1259687370,4342461219,4466165328,1362320945,6290043466,5968798632,559921042,871019450,1918356240,3581852528,1490585366,2613272085,5435127831,5336719367,8699460426,716345995,246684248,736248534,2386329520,110254753,1807482194,1203068780,2144751342,122978978,2350502470,767965915,1034281024,961487616,5353257880,120674153,4962908220,47330313,1856768916,1089130320,658398076,132409932,4288658451,4781991104,1470112684,1257724392,7769509218,1524151120,2509054646,1291535515,693395282,2927490792,6842342213,27537069,4717884400,4227596445,956391272,2049194384,2868287406,717830214,2339547546,1866759516,4464336380,972458118,1768555008,185819772,2349930530,2190011643,2075611905,5573358600,988253270,4523579110,2318598240,2388314558,1417455130,46927384,2072014600,4333248117,7131154536,764540465,5387154136,1678029132,1788436054,1989720854,1190406465,5134627524,1168252158,2481097032,4091412575,974618048,1725279717,359624448,2251461807,1067389440,2724504167,1592203936,5349103893,3597689496,1716012144,113794170,2531446320,1693000252,746297133,4962744353,3328171878,3027501729,3543057288,705520888,820046080,1090539364,3905982952,4263215840,748744165,7851095766,614579544,1117363312,3138671322,1627731005,982205289,475314166,5166367056,9953330,5615795936,2492644770,65718888,2575714932,6396254557,3767296302,2012384064,630514640,1163755594,89466360,249022192,4876999605,2283765129,575397450,1469804114,601507609,7866037552,3778357352,1719405480,636402219,933796122,5424173919,8769831462,1455549024,2418404565,5620638016,2219154615,1591098774,53056366,2742164865,7432372480,1245070071,931024836,3497565215,1383690049,3239303718,4188526902,6783596001,557544248,3281575672,671364205,4016572235,4110249558,2234142136,693680379,2741104352,3825605900,2697643998,1890865494,772208865,3515169888,3580123620,1773383112,2102765448,3654401274,1075256036,1497769066,4427097954,1731634545,3223856288,1333607805,3004520823,695896770,140237700,231048343,2259435702,2593242015,6496934794,3590581464,517883638,3299060245,384718096,5119420347,139967408,7089986412,2278508340,2035185246,4004143524,5256851688,37043673,2552685880,687007486,1942336650,1929444940,1039126428,8499044115,1591725288,1355991846,25401159,1107428590,1236276072,3928971004,809047144,2324443002,87721958,2484292100,1914345874,57393791,2270366937,5895522216,1073979675,119127320,3431443848,1381383724,101993332,3849449859,260874746,3750241020,2287709985,342167610,224113296,806131446,2590021068,7812813184,159101245,1893003424,818311500,2613341500,4123956852,48257625,6104801647,4818173472,4907036885,352115465,2089443675,2134472001,77678195,1704624656,2739540244,1808709236,6548462688,2507306991,1936463024,236222168,297307620,943013427,2874556980,3147393812,2014380045,7540448337,2101756968,527481408,2292729904,478325372,4619318466,1079228672,1332528220,667949335,256086116,1384351071,3237461970,663458136,987239757,2981937536,3089180178,1392576525,188028627,6100441947,706669432,884726089,3821684760,783080829,148671314,1474474673,4872354046,762401487,741402972,7012680880,3797220656,2562980766,1266979884,1416407720,3976262216,1817718044,1276119654,2642723112,2769973125,431740872,1437243021,8763415713,3590092308,37617270,871226031,2489321094,2262091000,412900135,4371990035,411041466,220559454,576496514,395618220,498653234,541479920,1903621410,2063077128,817051672,4634974449,6536456667,813033228,2948738845,1932939024,2501559519,1144836507,2653438592,1567500984,1063772334,4279218444,453934010,5938451613,2040675753,760130901,121812034,599272505,1184835150,1105447520,3968957620,3645003090,1109361432,14272420,6908066585,2422285794,555460330,3430124812,5957417772,4568592930,6228677080,7136245035,145596014,1111642128,6672565485,583029836,1494736396,542763696,2791822338,3627558810,1917354228,1573717300,354896030,1933804392,7255279608,7687958648,2526203151,3147275976,1486404030,1116448758,232834812,1282611708,2241311790,299453582,427632620,6183804032,6744594544,685004989,2155217892,713825137,734157810,44098628,5233346160,4529653950,4193312930,752438449,2939571222,586018398,2492711130,2966936808,1754925212,1898132990,676854492,5232766500,5260977012,34978686,4456456818,5562857112,728659750,595518801,2080019733,450144189,3472324135,805706786,15702870,98675527,447699756,946243413,161950866,1089505501,7471642304,1541642431,3666722160,6506318119,7178184128,6083219907,1117144314,168414660,2032372048,80730514,6338354553,1651450206,1067485320,2125151784,65921040,1210112128,506975376,1158611625,959627808,1045475420,1005254586,6977094985,3665285181,1518933080,5456592261,20917338,7063610,2851099636,99191534,3028925079,1569844704,1191683871,6159186688,1337962671,2247138204,6215600280,2524817600,6782058936,3068134531,1046228625,4051082063,743629918,4917209946,3793673328,502420035,6782677510,3134722640,1224462792,1223261814,3020515940,185936073,913785732,3640748300,1098302391,965282210,6791726144,2885691210,2407118212,3775060568,3365891270,7986120960,3008917312,2168723924,3833642415,5157652656,487737889,924376004,8922506643,1657945490,2104131253,2431111368,1400344536,1657491200,2386832014,855289295,842254506,3632614326,139639360,1827577822,2037943592,1812268770,1277678792,2772651988,3630220584,4485105728,1801017351,4474300578,2620310518,1067681370,2392771392,1350612750,2496517368,1789295994,1713818665,1233646472,715123525,757265872,4733341683,3575999390,1961027948,2875953570,1163168544,3108023560,2481828183,3884066930,2807345115,2695629160,3423463535,4928235516,1386902610,389851345,2210634840,2223544528,243151416,16960692,951843648,2216936907,5925822102,958169544,594049088,463740912,3330656124,7912765464,4801057904,121358528,192025676,6282428446,6380946558,4070109753,5393602374,269926118,3851249930,315171714,2016095005,62913194,1500536760,550976240,3317016230,523291920,1765104576,425388318,5586530439,2634320739,3596137454,481820400,369905571,5803524616,1599793120,1911684489,5431681584,163199725,3249147816,919141930,3523858032,4418362755,856020396,1880713356,1979169188,926879878,2428873035,466279435,3001520368,1434560904,912920300,8531419032,1672469160,693528680,1519192022,3248804538,1369393740,1352906356,5441181618,1848179704,3016353636,1069298544,321408544,7938203008,4197880752,450478977,1072129912,1197473802,8915805126,7590924344,71653682,1823661956,1059247490,5013554912,2085547744,1898479172,3478224888,2881040680,986151702,2233939310,4574468778,5571982392,915146200,8004678282,75680668,2539023431,382265900,2672602164,4916193642,101905685,3106050808,609959543,1278397856,2987790716,218413640,2230376868,4690671524,278338644,956888298,1344185932,717110484,56582738,5131057680,291301896,2158447893,4106618400,3789551328,5643995184,5576153310,1807032108,5577966224,2296609260,3581501385,1255513094,501395720,438615782,101321339,227659670,3245827482,3353558754,284653992,474565158,4172238852,1166533852,6237492786,6809195536,3232422450,170190384,3067864842,2701266750,2916644520,2250934329,6092363704,812977014,1777356783,1709765744,509056914,636156090,4382252160,4829035440,7392197504,1882959932,2187032368,4166591510,4430328420,1294374910,471501556,323544431,2629540626,2115513285,624079752,7727958,7543778752,3296112925,4464845272,5585170239,752626394,743291946,3790581522,1776631066,6987240920,3880030045,4857483696,198994102,2203323420,494146161,4745131560,1358049312,3115451936,3349668465,3873574863,3680032036,3027681336,719518813,410912680,3492600735,92527028,357865532,1288119145,263991284,4066956846,1281922864,6882806367,1578020127,381682796,2410949338,1292231958,1647068493,314633006,3862430208,1309657670,1833807810,1335816390,2548512198,1870037498,4017256075,113842015,869439596,1206005552,711926034,539837364,1429898802,834170346,178857219,32302660,2941977480,525911992,2125367700,1647649346,4894373208,4933487965,7171010181,6333293466,453513648,3278873920,674291508,628987515,3269470980,1441483756,2710044104,2660197508,847252716,930298022,4282611615,163507318,5164820633,4657604550,13459542,3789401628,3988547190,419558384,5399303672,407105974,2319149156,366702152,1734393450,3354083425,2303789817,2088458475,1634881767,1352637072,303694914,2279971519,2284533876,377110284,793953194,1326792740,4301628555,542677736,327298644,5971772415,1774170216,4058036634,1426105472,2403437796,4633006266,2163884568,6465276307,53762700,1583759079,3820831290,1197804546,6506698977,5506224084,1998340748,3113739850,5068112168,5730714766,578018594,1135709106,3577325,716816761,2512816587,2730258865,678850963,6779455605,3088538636,2752868388,2952515377,4918165712,930326197,220083705,1436279076,4381802856,759378129,4076439591,4522174008,1528434612,836113131,2879860172,3631531602,8501395482,1756259074,1339509616,1111862564,1523177120,4970068306,923631304,6092770304,2845684372,2600059929,1455131637,4051118652,309076288,2544483363,4256705000,2582011901,636316102,3203454724,2972021748,1159755976,423569774,1421926680,4197772880,3650673411,645225375,3657349836,2421968290,1580232794,4847277942,627621508,1734526770,3634867608,6952823163,3957581484,1481759209,7529324064,237021611,3469778809,12303425,4243606578,4436064720,2549005413,921797464,1786268104,1132816098,701838375,6248118582,1628679466,1947051580,2889604928,435060690,5430286328,5449088264,4505326238,6736352049,2232338542,4809237144,8276162121,516333580,681295950,3045257334,4878129861,1829198232,5314513274,4006402905,2259885408,5674738632,5512554012,229818063,8081025732,935030508,3910770056,245246592,5117519708,2533798395,4776702720,510336208,1135880472,2833214080,1116335475,3703445137,2361914010,2322293585,3357640280,860904541,266150732,2286503919,1084715486,5333496896,3736447928,2553868895,1735266186,2085751014,875926881,6514649456,1226565795,379857238,2527166512,143549013,4038154008,7432742142,1414478282,1440739900,3867795110,1761219243,445850276,5952286669,770757874,284930508,1741396440,4095228672,310012239,94837170,5029898931,1791873013,1338938076,1345755939,912517587,1332435720,4772497887,532245939,4395027069,3100167056,5566150494,3418413174,3756535952,315821014,1726310330,979904104,462097854,1268416695,153297060,605346696,4240827514,2051931744,6493628736,279085020,1558040862,855219231,3606494736,1970549265,2609078720,95795290,1229241358,1662879386,903400392,1962881100,656797032,636479688,5350701356,2918337955,1388693256,2887412990,2683741640,2455998498,4283914050,1990603704,35578058,981663688,165084984,171554508,6487163935,234406866,2099840706,695190164,3715229152,1243948896,596107000,2743790838,1974262216,3645244680,1373760627,6498147464,1511366736,4193810000,1251010470,321770768,4538475504,2105906706,164507416,896724846,900837329,3101513842,5335681560,7934283873,1030717184,2375133417,5104068750,854376115,954274662,739117532,2973330423,7815266181,2955995833,79293400,2568611872,1038467097,3272103960,2329530093,234926196,2038657062,5803525794,2197937814,1876997815,3512736927,735907906,1895120700,1784403540,4401937895,3855855942,2559699462,707652444,1923646900,2910981250,6679802682,6855653184,3423966912,6583407174,374919930,1137557014,6388261824,783001138,684476829,493935870,1606852630,5617142424,1050482840,71223912,857475689,1957851189,1051769010,587810295,1708380216,8159996997,184798572,1326070791,200552538,2541895230,5195537955,1155692986,132591232,900990344,3830976996,3220727625,8190176400,1586422845,5705834400,1110829827,1338988730,703639095,3254123064,1930786780,3603061460,4436021632,5055851094,1198219700,551297534,335775420,6454534191,5795779428,2600048400,2944546596,1656153445,54754728,7027443837,1934635056,131169486,1619499182,607986738,6240552168,2875858992,848809644,1862723172,1362327297,4594889725,1340996038,2975891640,681849480,4401766194,741440332,1107151782,789978687,5991591544,2231963940,433038156,1984726598,2230158584,181717025,241464458,2722433664,1778055948,1787676422,5781642699,1318527984,370112928,6125089590,681509676,3415881750,508435200,2360117658,343161030,1246510116,2981764675,901182332,2487738740,1552712973,4637094984,862270896,3671841390,209737027,5857075896,1104699840,2926262896,506440348,1673354065,569884950,6876873720,3432978094,6524908544,4002091980,885929592,4537835296,1297168092,1057349531,3221211135,1796179350,2237474448,3816272616,2836343394,995613692,1925115678,3100997008,5587452636,1039355340,322538618,689668364,3460521270,4556933176,3773740383,5449731498,394680144,6622208584,5455153287,6633432630,1085923488,236971406,623151408,958048409,1292161368,640079268,1931309547,6894898857,2432598588,2671346460,1683959305,4838448152,1021810140,3593060372,31515680,4411237239,988816120,5878846477,2682246965,21233557,4604697360,208664784,6849269816,5201688258,3086517465,1758961444,1130889312,261874640,3144214164,609506172,96900388,3084353815,2305696840,2191774624,2503683075,352426057,1810178832,437638225,961379509,8237022192,225319714,1006868696,4813782618,85392540,3887460656,2748215265,123389435,1211640276,567764315,808516016,916342950,463426537,253416745,1681176245,7069402656,5921083136,1731232648,1122470856,89106961,1137506570,3985848896,206310847,6627506944,934618896,2180049948,4579506999,1637625532,304104704,791149324,2604775740,1992366432,662617452,413220320,5065856523,3395728300,2080350147,6382746504,807697297,602829270,1247616456,5765073552,2366445960,3347004440,4575317720,5725366256,336847446,7154285520,957222294,271292616,1927822488,5464267353,2877986335,1941561160,2029940368,1434834806,3915927981,2560431240,4482598729,1171876740,1943631069,3575173464,513261538,1062018384,2964306010,799275368,1345912192,5138601800,648702544,1615735878,2461195158,1161499804,310637072,821272190,482460460,394508361,3815027272,2611843552,4964154840,2222932292,1514945376,827526822,1200249379,698876041,3720454824,1905618088,1037318108,1288656729,5822580570,3006538470,6534543666,4351265665,2391842264,2961888225,2107855304,1637321382,3776990016,715478697,4636675592,258239929,6044118795,1837671920,733833736,5026605792,1833367608,2003864995,2311055574,1059470328,2986005873,1926765032,2222063936,1754709375,945386930,128923092,887301828,2987691768,2029331307,1954126664,4674128785,2122820070,1664795109,2721067272,1046691284,2065762428,8768859822,94951747,455249638,6775910768,2609677212,409271550,299766060,1732276848,1118326434,4212359067,1123198094,626629382,645809249,1704577234,615706977,6908171736,3037044136,8531503794,357911984,4049480450,164968402,1198429398,1060059902,3985088545,1302230312,2449889940,2915715168,2460530792,1707365412,694474365,2094633955,675978095,589478889,2307355265,2571543260,3807809864,4415887242,1602910728,991870533,1091181180,6793024544,1686299155,4801009136,2801664582,1794695710,4506355760,2434146830,2793176755,396635150,2011114553,2424543359,1815590144,780931683,7011538776,2826593082,2146978251,738250727,2764254522,1420568604,5411315968,433750678,156956349,22627414,1001210120,1078424571,3194801992,3422977032,5510724723,738374157,5479574922,2185520514,3100691720,87139101,1040982418,1231744950,1829060236,2819057955,822896854,890376517,412835844,2533172508,3177071148,7585552026,1722674294,796767576,1550047400,943221858,2572699484,2290754658,655858716,1570620962,2868363216,2882801895,737413485,935668716,3881958276,1155718904,3925044672,809369076,680780886,225523162,2381360688,334654366,904064798,338135730,3169512927,1774231686,50631782,2570365637,2102905641,7644136992,185368548,494095900,8980540227,1192703097,2642103484,633346974,6246450128,1011597102,2676243708,2535481592,381283968,1561722184,3947561325,4412702025,1271880156,971886910,841017622,1061283808,4071577405,4070821356,648210885,900021861,1569936852,1313526144,336271143,1021773842,4333083310,3939484980,5541076716,6198764404,2290045773,5203277316,4307451488,797121619,2563893354,3225807543,442678244,765752595,2988287704,3740823276,2048620308,3193644643,8185195566,6978426272,87453740,5473608258,5517992115,369225675,3310156269,7167498368,714102564,898130570,1816305302,5716269712,701737456,2168128053,575803192,1270556064,175280783,2686880457,513479961,2667605520,591905760,20057589,7813233810,108885858,523620018,1181388738,771182868,4711737265,3517890950,4560499413,3286227500,474387284,2215967776,264807792,1003720899,2267764974,1702154958,6743797648,7324284735,1755442128,3781464796,971698216,3293725232,2636478400,779304714,948117280,2862946878,25194490,240472938,832123775,254287064,1754602443,763562151,1524302575,3348723512,93596227,1053212841,4170901494,2815888086,4254822978,5814931008,1112086890,621783386,4196261286,1454559003,1202841660,2063451222,6794512040,2932737028,3993884405,754784246,4102321266,1107761604,866322008,1683417372,2969272735,679721698,214264491,527279585,5725135314,6776652591,2055555579,911683138,5719673742,3736851894,6265833544,938338968,1910772774,1312577799,1575122997,6146570206,2932675145,688852235,1710419456,853929000,570596424,2465757636,2858266005,1668119472,701216808,896244769,741898752,4817325135,1216334360,1594458222,4380990507,562145697,433824714,962413825,129484785,376624866,1292404248,2790493923,1555344238,1827619308,4448336361,2021694785,691276754,720486148,2642816145,2087458920,2849350740,1349623326,926232324,386433744,737166617,905636913,2483186349,4191472808,4899617080,8246000448,134811232,2381441082,704512965,6543067128,481001283,1038125362,1950736545,4104217136,3538777650,978233602,3661334892,5676535024,388443266,6255013878,2272895312,1973978046,2529885525,1866110625,3076712812,7545668490,333348280,1701498120,1792632369,52751004,625367592,379705509,1998922995,1806293088,1167477364,675283468,2908118247,287858688,2713407175,1140297460,503649356,3615560127,6977197339,4541499920,2240120659,5101236252,1390533364,4936113165,463715812,224782973,1293985662,3174970581,1676878872,2613885540,368021880,2297378490,8040838743,500744969,2421082701,7145306728,256852052,887944612,6931783305,177958839,2680464228,833143227,8888043771,3136587508,175252922,4373025384,1315745428,4181747800,1844496304,1455734056,2145205956,3950465460,2192014698,2741825832,3695746220,796827054,5318590566,1460563286,932342725,1587929259,7709541174,3992631324,36217995,151955193,547268815,319693195,3147374220,2249216480,381993636,6052451405,3584609063,950372783,4236863760,741597619,3620747208,296256743,831665156,3232456055,2963303884,3515123940,977791858,939846655,2860713848,5003141465,4929113392,4701009315,939238524,948610668,4890229022,871684982,612256104,98069214,2544547116,94383735,1594896610,3513124056,1728958496,142377027,5436876684,1237733055,1274009162,1603906822,660401262,1097210296,2856169190,2941404615,2943261476,1495684756,760322537,1220415903,1930479582,2339330100,2974184591,1331936835,3559911684,4903892280,2627675430,713543199,639313874,1635320694,2348421387,946993920,3741678270,1927276740,789239430,4215883060,1199242688,30089191,351020752,570991054,3803697460,161770426,225886865,7700934664,4697365095,337981062,810261275,5145469362,376834776,1421157084,2646013890,240775076,6479077496,3263143014,3555151479,670028457,1845601425,772852470,130634407,1407289608,1377997294,25905017,6524575712,3188715255,1817415213,4843556508,3923559456,1778328606,6531310842,620112552,492777626,884939706,1257293385,3166738925,3282578912,4186656943,1726066094,722939604,1061483736,941952967,1581390776,1130791732,361330340,3120954272,10868604,7763251995,2176620700,1428940842,3685880070,14964070,3054460520,314699256,2781526968,3247885656,173913025,1529051332,2152015312,2865518496,585304722,2251819395,2612035120,3560071172,105605190,4156196472,3922613780,5682510972,523967253,787913999,153788032,2126581988,1071310802,8292635604,2507635408,7086741003,882373694,267488518,6097522088,3788504000,1454903776,2400992615,8491439844,2187640254,1093476282,95086642,2371690433,5819122524,5396758785,6506071488,4653108645,1014934959,2261616903,4677372798,1280839748,942974510,2038972923,2352544560,282761790,3703890452,738700904,6100527663,1051130091,311694432,4209622445,212345335,5809601189,4080197674,800129232,1930797928,5443464608,1391633696,3277737576,1471578258,704565820,914037672,3481251145,3925617430,310784818,2605270440,6263539611,3837074628,330767388,309711584,810664467,1086555805,2902653483,2989427165,2056086444,3819976446,4796009845,2082621054,8956969272,901298430,3438742428,904590801,1812606246,1475305730,1850233116,676986905,510026048,2039403660,928670887,337964739,5216589344,3329752176,294668362,605722698,814322354,314378658,1129945662,6270831414,15223419,99927421,258814199,4647909843,421944153,1128788544,1863339462,2052371889,5800272896,1675466194,6853000357,837875574,2521062360,5939028656,736741093,1133090736,1310147670,1224248104,977333858,7730734704,428631004,8470571949,1003435326,1439900144,3836928717,4550632472,8656001847,2352233760,1282168636,2631125520,3900381152,1497134988,3040945390,1759783761,5034115332,11462806,7531767704,7568441552,1513232744,2193500250,34368076,5422309368,3485645712,265586504,684248858,31990014,867332508,2899014520,2274186576,70137288,4514683008,4271032936,6178632726,1619675595,224089586,4711620390,1713561028,627347429,4405989352,1156288056,1851487272,1206865722,1949217198,336752564,4593107815,1273639032,280927205,7788667008,639873042,2405643224,1280943696,237663740,282912911,7568409447,5881088115,1203766570,1610981028,370052865,866932088,169133980,266070042,954132083,6936817265,5385804780,2090303475,838543990,1531096616,6890623698,1732774804,2036271304,3272510188,6978651974,994000174,1483050752,85125300,6107429825,1901391888,215377821,1002713901,2187763084,465587432,2777645448,1584567860,596551311,6760661085,5000056098,976557699,2749517991,619993693,1597456768,1095601878,324362728,374873448,249604173,6310172113,1494007815,2913909180,2620352684,2752069452,1473634174,7974120848,1746880710,5343298880,430808744,2004813752,5751617466,474217550,521772747,5552083758,3690079686,2304517187,5271040040,619070915,1712702080,2684620400,5243479296,4929680800,3415774960,2008228917,6838967639,3088214766,2530723596,2532654285,603207744,2056031712,1028125240,3991330465,1884508810,2254114854,309762922,7702749621,1057961664,422745462,880413866,12364456,787397081,4916379720,2292958576,2618056720,5335226296,1296555636,1748807256,568280192,384023400,2962431948,1603365096,546184958,657715430,3517366208,977667942,2984223639,327853602,703849408,5327292648,620069271,2213071815,5653161720,1074864392,793049592,1928019436,4143930003,3707453358,223373044,781088776,208553472,341156065,5541070278,4915168713,5679131262,34938026,253498593,861437168,3912620180,253689408,6920925616,707507518,3156544602,263041296,2761683891,409078321,2032477240,4999270585,699174312,1577350161,2795671902,3385553752,902492404,7018578632,473752737,486317270,145303234,2638343430,152701134,6446108600,2485322562,1408837866,5103841827,1405251184,551640525,763854594,2021228055,4355961915,2513182005,3895052229,5186850687,1661890844,559161899,1838078632,149499294,1740269688,785360198,3364100324,425088879,667117528,680396343,878521780,380801074,3846951565,4997825832,1159639152,1712619336,74261784,1549090566,5637816162,1952011980,2375540484,6594235184,5394133440,657487922,6200795187,218568234,1979598164,2001133548,2031962954,23152983,4152989460,497003684,1869065364,3190345130,4161285712,3792420445,2350375413,1184258100,2764862950,1461153414,619038306,428207072,3821483012,4925613540,4686492360,1796173856,73300943,958747726,1376828586,6563608569,2301986898,5372828397,1949948937,136900064,5375532824,195315059,7549363368,3408174549,1847977424,2089589409,1107784380,962844856,60662967,606450710,447861073,719752066,2519267092,3553626128,1198698360,934344458,4901213900,2163262430,3387760516,1043893742,3322510048,1830962640,2029629822,365696077,1299585075,921561210,703256280,1273046922,623290322,766197069,628876035,782471529,1428051621,2414089494,6208460720,2738638131,4808677958,1178000964,6045304320,5647885152,8427224511,1466538770,675919816,2781598530,4963894880,123100344,5506375256,181050828,83246379,1816005168,916625570,2385444792,3689642005,791304532,2812181876,545862990,153100628,3773533132,2454001203,1084051947,2372855340,749494080,4573127636,1332421784,1887233924,3208214190,4758570390,4567996120,2929975720,5911803756,358719478,1818259120,1164932636,3573158725,1788583128,921285854,4527612,8943473106,356724444,3304014822,3757955754,2090764710,1019845989,458258467,1594175274,5962097337,569964230,1685058976,676969714,1638194972,3818637040,344861682,4492219638,5939741340,1299681720,974841588,2307929912,3310685955,1381797360,925905756,4136544575,7738187864,3080665072,324980405,628614430,2857310118,2544700161,1715300772,1070896170,634409755,3210617488,1011409040,295310184,805985328,2003628224,3043616949,1872818622,4238813628,6961401632,1801843984,3128244741,4641425905,639247023,128087864,6362594752,143683784,6390494448,2803472010,6869663874,5494818063,6462971128,2087284610,1362360861,3017378556,993935736,1512006189,2960394017,6482828000,522933980,5522321518,31320635,4138356384,161340703,3886235353,799844652,856070682,2808488757,3251273840,1232466822,3632551096,1915130268,438062780,2772858655,412083198,677513360,2542828683,1303224303,1748526507,380910796,131325114,2306298534,1371161520,4486764501,2977487928,205829499,1147146168,1267776384,67717124,808561512,558448418,715912644,1168643728,4632994503,300036704,6690043053,4805012104,3829597815,2890454790,110103056,1571105880,4932725488,493587722,3675828936,355208142,5506642884,939365276,291160287,2329969452,4543933784,4747908354,538004416,1892527356,141564300,566061873,3605933852,718451112,2156996528,2720737443,7464970936,6084345616,4421653740,3266788734,4555105863,2012496405,2902815147,2234726196,298903031,2218592586,3380556180,371354580,491617724,1556605729,1463940728,1953071991,1874902116,160049744,581413620,595094745,554314503,8302386870,528692050,1465201332,970035978,755678403,3702067416,1045701150,1013418946,302760008,8266094775,244440339,347424100,3081732836,76881190,3140970687,6236410789,6245280902,5967559890,886051356,742775000,946268436,1457707150,774247677,3124261152,3720101405,331420752,2283349556,2229377964,1299515044,5715854454,8457654978,2253246624,3391657376,3401671376,1137754056,131761304,4116009306,6570236596,1473682252,232100150,599448880,266570535,1412942606,2624879690,2693577865,2512868736,179549646,4930952970,661769280,695740717,8759290266,4367042625,1382203018,6746819481,4186073024,1912801944,5096974122,2412450803,2194048800,1536561400,4969853124,6665117472,4160547825,632624604,5521356360,2602087566,5667386242,859432014,26724424,1010954208,3170140764,2763498105,2479201452,596692206,1192866138,3240136521,4407305375,2314029372,3783758080,4802697870,682878716,2833745205,5367379779,1498721154,1568995692,2715210951,2975673465,5735761332,3656132640,2449814930,597233686,314689834,1651846952,5504573340,2558756529,1211216380,4318614958,213810702,737442903,1363152369,4718371482,5849102040,3528207728,2395389672,1710571239,6267749157,1146695204,725756202,2397082640,1018624088,205152535,92861752,5116022744,1017109080,753491953,6581305430,255964398,3715922008,4542719804,4164676800,959553369,1147306740,5066099144,2760266880,970813208,2467416140,883407802,63936450,3053114358,571682993,4248454410,2536870908,1515760608,1785430360,2958911080,296751479,48337636,2203165737,35750673,3002313706,2103382296,3286836763,489772056,3640225056,212055121,1373151910,304641652,3271081308,433825335,3033180024,228403976,1922709944,395514089,6086405169,3344004538,291583496,20416578,1817800632,3136009254,1869714612,4489037644,6772871430,1511528095,8493078627,4702220754,5254985637,2005337208,1420689066,4744819695,517121123,4301335854,732781568,759525120,765219282,3555483882,3891685352,884273670,956241407,5792906768,7201866240,711172659,5553242814,279715950,1940164360,114043230,1141956175,822059514,5588372125,6922283391,1225862522,3250751231,1040736556,5139795339,831312138,540244410,4174029684,305821510,4655124404,398445082,204414928,4660681416,1431013990,340787640,4412704303,2859101628,4843671210,4127857490,1486032642,6496409097,2970984672,2540530188,916643340,2936130632,382496676,1483180400,1903098852,7037942994,229610477,1560004154,1782680768,2192794062,342342920,8187049764,3439130930,580302175,145401084,880600609,3978841024,5042499648,3735129976,6603448113,4318101672,2224143288,918590442,1770920391,295205336,1192066432,6153674261,71358375,1632587808,1740857709,698208252,8730529155,4867016940,4173728380,1299244638,658462760,1205788090,592628026,778175304,1269051300,853867344,3030540455,879999167,3673693604,817728955,679716164,2382669788,178484128,4037465979,1938487528,756014312,1836220895,652370148,4706283330,1845332392,158947644,252847299,644126034,190435917,720951532,3335729184,1310161894,2426340728,3608833112,8062102080,3757183400,3736115368,1186626635,705886886,3045434749,7449362448,3588814985,539441586,3506416632,7838991792,3006774635,3030666174,2741247320,7736111768,1868460240,468890200,3291892308,4150619226,6845117755,1807938993,1915575522,339883173,4298395765,462807462,162310007,2415379257,3061983520,2615050940,4290552679,5463445734,1133970470,2091903940,6287352792,550234632,3083859908,2813911137,2418260061,7953306744,277027810,991028108,606761986,2964282468,4066020285,164109640,461227353,274016944,3867976825,1175477662,616490172,1261416012,5660672232,1270564584,339433685,1011505986,938630742,664264836,6502304997,629250242,751758010,60345702,1937265732,1264256776,1099636233,1286923101,1881230400,75342336,2362670601,860700605,6957918002,2050357160,6234641644,1642778350,2312037282,2392932248,100833082,450923025,6654507426,3123488334,645648860,7620895296,1217387772,839587433,1439729978,73978842,6162010008,3742443375,5059314032,781825187,2534750090,281299897,2308435440,890429487,1977476505,5490041769,3813725545,735586404,137673140,1456329828,3346978872,3064379656,4160021208,4500678384,6521896458,7924079736,630762084,7502147832,799010468,601337032,4221752290,2873185672,4003316130,1336182984,5799615408,5780224566,3618697712,3065260961,6726924099,511025932,3773210656,637043372,757132439,528309090,93861215,4813531386,396896889,3907576916,2263575690,4734716686,397187063,778131151,2524337220,4175639433,2544346944,7695631968,7511466663,5684085584,2560324779,617017746,3214454814,3393025020,1749151174,683661150,2310040632,4845257389,463930579,4455143896,3628542036,1516944465,638143209,8276642271,2051129815,4413951540,4528747520,1599150006,2600067106,4650947739,4454443260,448266574,4926299776,5167750518,4917340825,75416518,120945558,912405054,2861151552,965490860,4814443080,133660855,350036249,1364074659,2013197130,4055585625,1364077152,3730110336,633731880,2114584876,2471471226,2674517275,2108155275,2832500545,6600649622,3001345302,2465711850,2802629550,34479420,1453982125,2981977552,1634640975,7454927752,6985195072,238981480,1085978684,5286073863,3993938584,4362356935,56406239,340161562,732932670,4419230172,299059455,5462950050,7832671200,2890670265,646922544,7285845032,1466977602,3783053050,67846212,5326443162,423788940,6173618528,3637265944,4225404415,68930310,776180724,2801567826,5884978236,3608177720,1136370390,66146404,2185410753,4405100182,3936220428,8456408307,1107449820,6296758155,1264858724,1723306620,4494798096,3947143368,1180936864,1341230637,32367810,9649362,161739878,2729349786,556465437,2858374260,1821380386,1162808200,3124449188,6297217101,2243406765,2976781320,1818128616,1839163405,303994232,4971876826,1929281528,877667335,51177178,284285961,5178245670,550714914,804996445,4968326450,1525650021,4553917669,3573795144,4574328498,2245683752,8728622424,173020347,766754502,1999989876,661932906,1828644480,1604030544,2652977620,682389120,1131755067,1487264212,290085912,2732227245,2509723704,532513236,3616515882,241979419,1936677624,191061481,3419370332,1142125304,5629889022,3040648779,6226531956,2784416084,1526974468,2012182110,2128970765,1364057716,5952433446,3854948400,1645262298,5400999774,222524380,7242236190,2488183038,5786749150,1110740196,1862611398,2680182750,952200109,727038936,7405205355,651904011,551710508,2656633482,816095455,497340992,891282839,3565944450,4080862602,505394200,1324968824,989354517,558315048,5309137183,1867736040,3097489528,3408280101,126395360,3717304644,375113635,48107392,3446437335,770825808,8999798643,1349976987,5747558886,4543919064,443402472,1712980168,6887063050,460988199,7393631240,223067700,3271307478,3352387880,1837439527,3423982800,2903980344,58453662,5523559632,122106699,1049914960,6103009458,2744887700,7215302744,7794249003,615275290,1458626452,76130454,788196336,1075377057,4437209,7126985432,4480805651,86095760,553456556,1441332744,4469591796,692152740,93369283,358949835,609528512,3094742707,2490735765,2983799112,2497702452,4458094136,154825040,706405568,1463693163,2382286479,8778569787,3502383304,6567776256,1603220793,1858403622,5190890958,2245847132,745636242,275330448,885321420,5919538152,2916932400,2398587777,1297046050,379508061,2616252138,1571332343,152215880,1508396943,748310706,479901854,3627171980,2086549076,23366610,1610959314,350038104,409821542,4788804402,1814422156,3442034304,178859382,6792362605,2454115484,1346169890,437978007,1995613824,2451328824,605975085,6370955059,2943818544,1498728782,1217664565,459743850,1294402616,2611321192,1462608055,2012949117,764021814,1806351932,131404392,3530385265,4419259104,816167468,1901441760,2784849066,484774475,2432607252,5087598936,1480928350,2432360150,2880335214,1075104737,3170203710,7945239976,5118036776,4267777980,2661804681,2465213195,6618531006,154699634,866312250,1457317360,6258156401,1161563460,1763710632,159277698,5358234912,4490542608,7490075229,3500174910,8829473679,1257632295,404589052,1338312696,639749884,5112709240,977850368,1441039432,3390742901,310315168,1805037440,933264206,6511991262,1888683500,4770998960,754628944,415554685,2621771616,4849028215,3640981652,666602906,1826869150,1833013445,7841945944,8791055424,2569226292,91010230,7505359866,3322208911,1207421667,699944739,1587746608,3112051080,923062820,2933049846,7160561217,3959316660,178346080,4017123135,2816388801,119386,1156018220,955934672,139196349,5137611453,869275290,2758822945,2771815672,590582611,661337308,222978616,1206637836,9193744,1488315400,5021318701,1003872028,3466066814,726099441,961561505,3716255085,3344717124,119810820,1763998209,1055313471,1870372746,3560530508,178151456,309844411,734541265,5551729839,126296233,609978054,1630290258,2789732277,1474795356,5447144598,2553914610,742043394,2668773702,2159321648,5326920690,2159991316,1463615006,4632475140,1662542930,3478924548,2830929831,433315108,29188404,758748644,7212838077,5450118912,2420985736,2386652320,1434884624,1377366250,1319724882,7178564440,1863836740,1955391366,1720243282,235083981,174257694,3298285228,1587369532,5638200066,660608226,773437467,346870278,136812336,4507796292,1165447812,2860403091,678712307,1011195458,8309053926,646156672,7062343200,1872119662,5529071412,423433742,2834645265,957196463,2174740376,4061717340,5091751888,2060196327,758059834,3107273248,1678119312,1454211732,2487033462,93615861,5103645288,3804445232,433899650,3909972507,467511831,618695685,2750161386,3729090728,2632920444,220607828,843443980,645514068,3284830920,5915015316,700259106,886489976,186284579,243477543,6087177720,371747244,610477284,2198710164,280108206,1842548025,12318894,2763830716,615442997,767946488,334985652,2604111085,1258463628,2330417133,877375872,714742823,223144461,5237515413,7179532976,1125720490,2236105837,132501273,1356590872,622917612,4671809955,5419960315,288136680,166180805,8447730822,1997105040,346007988,5854454248,1582932152,1040134060,3137873795,1299253664,944789923,5906040763,29532984,2389971872,6636531216,1842006750,1772892657,1023012178,1224306652,856689584,93917794,7018618040,4880138840,887445475,4620326553,301185104,2014589553,3669373960,8692042338,8758229949,5434966014,2455958025,1027471145,899768966,3825919791,110079453,6918999948,446826035,157089959,700866500,5414312673,536455770,3284444328,2050481468,4986669258,323085182,3185149345,1962451795,304122396,776318976,7758640260,4817953635,452500288,1843804872,1482038806,15970257,4778385355,3449724330,1667087904,2596542939,1886785413,3177558840,188676423,297094830,2242933384,882601265,5852215572,4303775115,2704723326,1904853096,3142354677,2075386224,685183278,2021391000,3157037745,2732990552,212323483,904149467,1137612021,1621728810,2124150,2665253996,1117026603,549090564,57041397,4772427807,4359100210,866536903,2261927892,4700159165,3070594140,1027491125,2739088503,222595346,1313466285,784834141,6363553041,4997081935,1889921787,56251701,684746235,1815351546,3892652585,1502912769,3621028555,1712873294,168734300,1525677672,2802545774,1787680161,4305447120,488079342,5173129416,2119864428,948946408,5983934928,468584116,4973659104,310467838,1178170244,537455707,410737080,5010978774,6971510462,3833302045,3512429559,1525972042,354419630,4227433014,809378326,7431464610,555990886,424965604,157087061,1022718180,4065602247,3203581832,3481442544,1417239047,507562982,666853298,1194096512,3593923866,922116521,3029277704,539479134,629940357,493989556,2255710072,2428861976,7896990936,3637092716,3357860480,7298035336,3703406208,794227785,5397574584,2892313491,646316200,6253196778,1359233492,2136778155,714265860,950852480,3093596008,2132645250,680680290,4856178928,3226318386,7801891380,1681998084,5171459755,5951532048,317959131,4083005072,8817882084,928177465,237757594,616104159,1255648610,3974958512,1951208628,1088295448,7907352320,6254515600,2257531101,1578268160,154440440,728287115,242819044,2167910874,5126388942,2525889104,265606892,1928460240,1021231967,34306702,2830612035,1015051047,700386564,4917818160,1680574365,1034599930,2537340465,357403711,4060299042,3139010301,2604645010,1111765556,109250853,2564575095,3965241681,1903630984,2434089768,3209441916,1023267267,571138468,3430450460,1934352910,1928465402,2763666962,1132547658,7739888056,1344794133,1808752452,2352395322,1838973264,2011028120,2981853588,1109713707,5701523976,1199815589,1362359016,1234452597,2749983378,5945259537,1969505094,5478075912,307855960,1617787389,1163249630,890390315,3959361288,859553320,166464361,1013350264,545010949,6207722456,18566160,4132830870,2125855634,439662982,8635808889,2057580076,2636355834,2129863141,4460630216,672443046,1301637865,8977702617,1030318688,346962096,2369002233,5372869096,1892077704,1280555072,2092483960,1399147539,3151361485,711487885,99726312,7234001864,3155964408,702439512,3385532286,1562757952,324638357,393263487,642278644,3990850920,239100544,294945235,1199237526,2200451755,3552894768,1369494055,921084223,3303871984,3533165856,18444038,540353745,564117362,2108213100,2438786464,2795974912,252606484,2981379951,1851098254,779134839,1123744672,1811675760,2269044216,387355800,24859688,686959494,703019799,434744634,2299198160,2061718088,2481244772,1733790771,8714855403,5812035929,660550171,884195776,812757045,1508222331,4704601491,5284705867,290543982,6796971531,376111152,5231614008,4179777520,7727578184,676525138,809886516,92517104,3602293155,6713958288,2476189688,1404576630,1800777666,918174918,6414568545,1440487992,2180716332,5384243466,665779768,1964538615,580863232,2464329111,249072934,1674247042,746413509,237463758,2966587015,1583518915,434886462,228530798,1497379480,3952154295,7020734576,6529411384,808719935,974124005,1413583353,1950815832,3333996995,8009098785,1148833777,2431899261,1597229664,41933530,7096403871,3514231416,670063464,1624328200,4770047095,4767796820,3279480132,3080231416,603865050,446891215,1960048048,3712449352,71858475,3843529176,4705060985,426259452,1734668559,1234910908,1732535480,3464942956,317826180,8417447775,1462638444,669765997,6874140474,1174954174,1650620360,5539615404,276470210,2646913682,920262531,6741116060,4575858906,3913045670,284638985,4675872685,807107416,418239115,884219238,3159585420,8429974515,513338252,2972947254,3069598259,1361878534,6137122050,4942848321,2032006708,824541473,1313985390,1545277876,2418930385,2495712408,2080802464,1920714147,2368083970,3277944600,4702550382,3369561710,107755772,123302748,1862220486,7254381681,5117087844,7605216088,791667212,5516817019,2467449078,1616704954,2988145164,1167996654,3678055446,237942684,2791372647,2681988,3107508760,96017930,1038459609,1512870304,5162809967,606036664,461095509,4841652392,6206807259,403140375,225002445,4273885452,4273807716,149151792,1408504165,1052998776,3120305964,396585726,2790254395,882291174,3990484344,1767901020,720103895,5207717144,677405880,5174891673,996658320,1339817326,1274094408,2506481082,1498943946,890432274,5352001590,2814908684,517148102,6655604676,1437212815,395299138,1944025920,492518017,2846766180,7207916094,562142331,3310292895,556749391,1352398320,4424988666,1193844172,5039218401,1246023318,35973468,8183293614,4250502492,7909500608,6562058456,4310728864,5084710074,5682107440,8564604732,844056199,1513923187,3449237481,297466117,6912712728,945527154,153752941,492284204,528778392,155024312,1058885250,1881449792,517109752,4458383532,858234450,5453103464,4491778950,6612168807,7719174992,922217238,213024490,1986363868,1368399564,1899623114,4863680008,467028698,3147718760,1750231482,1925733123,7542567328,423510082,542925740,6325057197,2317444040,5528296422,427033525,3136619680,709951456,454207293,1183819839,554108532,8519142546,1278740046,101450002,1365313068,1766686218,1345007034,4170881736,2696563392,576642298,4404163390,3306112638,891707796,4749626840,342880340,3828120416,4442147106,3944598560,2058449785,498929622,2416142277,2714740992,14097622,7843218088,4654475410,1316543520,593368304,3164936844,2378415276,76424588,197497355,1268305323,546783372,7051340064,2859275095,1611744252,1994561066,1956430340,1804980432,1330507650,596683106,503706852,708639732,5669160686,41510178,2938900467,2663079310,999016326,6814015280,2408722650,600544229,8149671567,7905025480,3670021916,3686428128,400966251,5369940896,1944124255,2091728051,649528389,3311187810,434979540,716093618,1265229708,4288118736,1100782946,2297578560,6239082402,4601586402,2934781938,2177330046,584144052,5502048864,1641136156,2509274600,570963060,4757564515,2588667513,4839585636,2480029605,2314591668,112344138,483239746,411168652,2887454829,2993838252,3238767080,3660094739,6428087748,2602812762,8190894798,4009055264,377051004,4444666272,5019422472,4190635398,1981787199,2082537810,2023423857,3821537440,1703405817,2495386692,2928789420,3342528180,1059535566,960572269,1134918040,274892095,1177069401,1861676266,3164269829,1755362206,7699234239,4833003216,2469044484,1349637324,4645858504,996360913,4212405100,4278136365,726852945,3909368079,939126605,1011182870,6854202666,2304938965,407049491,3299411096,133786804,4749604176,2017235292,681176368,8194129308,3587854140,3304178885,86886219,6273881502,5245490637,2599603632,1608291186,5793943640,4973493368,2390889272,2865909088,3380506914,6826478652,4974873216,5652531378,128878821,805034920,1956342010,4578807012,171110920,2772141444,3379444075,410969208,4276588295,5422199895,2218313475,1764690812,4073105967,3829337848,1773579930,1748944500,2901005735,3765862910,6158174544,7715621344,914130003,4267141440,2447285248,422269810,727142302,1007727260,410288460,3178311264,2972940467,6421918032,5781269319,5472151027,450265844,1194345978,2707969428,825838240,1868444946,4652082408,4198564010,3589456896,434906437,1307619642,4973659155,6320429885,3870701820,6421800726,1145825748,6183088659,4198512276,627546942,3061272530,825853864,1807424490,3307506125,1883707944,3365349660,79459323,1876422308,954409791,853452720,3260929518,2875192296,2577906552,309251580,524774735,240425148,822870868,855419132,4679954202,6348986049,623617380,734467429,1749734156,1959247332,3017813590,4274232750,868651264,417246666,1613978005,6201431747,3339571830,2417677008,2758174720,3377434624,4310846410,200622051,6091607326,4221532338,4073678256,6270296103,3603894846,2063933265,68555760,182181904,6940592974,5693348304,835613040,75753344,5917292898,2194977420,257965430,4887333731,443061182,1558971939,993630312,7457513184,219265368,1590154460,845409240,1127064618,978393962,1260861306,4487693913,6011828466,118506861,1905082945,2236143570,1808706632,3322388694,85762791,185443396,2844653147,6733402382,4259442865,255269517,650448736,54744560,7751529856,3011184174,2228446104,3774004304,988426113,3844170792,5564810562,183230894,66093527,5090705627,1931983986,1135718598,281557410,2231449815,1794996654,6444837119,485486064,1917604696,934033034,6172678782,3627276039,3849178401,1678598325,133048866,4442351456,284874174,2789190858,5119162056,4867246041,5512292388,2102634396,6230532259,3996287224,5204353525,2470977173,1394153709,783583987,4154461494,2558068263,7701462280,4280019486,1424732860,8167983462,1648551708,5045060610,1622998557,5629861472,421780908,7593560920,3235533390,148333608,5831847938,1065462122,590392485,546325864,7291864400,2481711687,1265915496,508966360,338042170,3891376688,1147087532,3411615408,352434475,4913606068,324149200,1389698310,3104367208,5474030784,1397543556,763739365,90849615,996771683,2097371235,482848123,7201773608,5218567456,3449196848,735659985,1777004532,814748289,594827120,225672315,2747518470,1053096270,2332296764,1742841405,637108835,1897885288,5398459254,652258196,4778179794,1517107500,2194912068,769694614,6112552272,3801438552,3390885225,1086691115,4799344670,3721607274,6634365808,665728588,467143908,184892940,1578825052,3680275518,1434931845,794842833,962360692,1823829168,2655387510,6344002449,4318474980,1814947226,4443337695,3554992050,5082770344,1340361369,911766952,1605694094,3519344848,549767190,6031157544,6118073878,433083556,255991327,4895204344,3304206441,6651749394,5124294584,1039611228,209621336,2993731602,2069754840,1500295752,2776356772,3439049202,1622739804,4549388022,4458432924,2364153219,7254914288,2742624282,3286971373,4242167433,1068034258,1695452898,4301625162,3675391788,6450852912,368283737,1093673287,757981503,3069933552,719744959,2842752216,3042422555,6433482789,2616970920,1179750215,343565248,4493890688,455189544,590159484,4768228633,3395541712,4491754818,2898038905,741713405,4807916140,4052622312,6382258784,3457676649,2170405035,399582804,7686999270,5017542072,2010088026,1770963246,370158151,956030765,31631312,1983316634,1018899800,3695974416,882161276,2839180638,880964367,777105748,972472716,822644955,1654972708,677897103,1848817112,1866592028,321045996,6233421425,5838809352,123937918,3718813864,41983452,6555379952,3240820648,945130452,7358132200,1635056584,481194624,812475540,4412785867,1921758349,2312128188,3923328164,18377261,6012583398,4248065952,168556372,2379164670,805718010,757388997,2435853435,316798012,5289719589,2388120219,1454520790,1176659412,1885447680,8633829807,1509832014,2724801414,1084535883,785933585,2935429896,2354413902,4721077110,3181392256,6808140171,4342147570,941476521,1366826446,3231415384,1678357224,4888241628,1661456715,4921827730,1069113752,505713975,5693932984,1591132446,3492007614,5588165856,2808374415,737940964,689111950,415380045,3587280424,1387058781,47623083,5927264456,2840907592,3377821509,123369372,3681882510,5504376486,4169899248,44864208,4206451380,3410329491,3076008896,4247414768,408866460,942600810,1532084214,5474559564,5934206159,7141720264,4281255818,2137277005,2994485944,676551493,3692349395,2963466642,1407907200,5753700864,870609061,2220432876,564087036,6770989377,7579760992,5760275850,4143468679,1567903812,7112795175,563749386,2232440615,2720973934,222418461,900645818,6536273400,1165975380,977241948,3534690044,2397006310,3506050715,137253201,19027830,4820535756,4390693432,1951695822,164802478,1913739368,642511199,1227963233,6949748259,2000005494,4520437370,4252814055,375227785,2360071158,2725366384,2971079349,314678622,1695905408,579117624,3900148615,3710562315,1424124342,7191013059,6682259493,3883794088,991611447,4636387338,1535422740,464480925,753892900,4265799654,2691656228,1313581028,7094463656,3485179940,4537207632,509267749,121331572,960097616,3221061030,50049782,5311864824,1910835460,5907857984,7079663032,5896197960,1607687732,3061266764,1482826112,1843498316,7937008578,2184804378,16548116,8836180083,427618185,1804680192,3829613058,588665174,3151255177,2151540,7228927248,2673499008,3539393898,5127744125,4561431994,1183779506,6155066096,921811080,6186869661,3135215160,1965517954,2883630628,2165352996,389538558,1343724384,3824067975,49165182,5959349456,2178233793,942473611,2559098896,187911960,2375527259,1278315450,6713433160,390297133,851738152,453910441,1007781405,1249475842,151226610,1964646128,5232414282,4026232425,726952324,2959715412,27638000,391251111,991111381,1985711115,2148183736,6336330924,696608544,2133677580,3517897398,27332745,2440437615,1775109190,180016528,406075018,7778439567,3063970384,415184042,170296136,4238684295,312984108,1478584788,2382629784,4536296245,818286646,4676127582,2642311956,5824171434,4529449072,4453320590,2607194324,3684448500,345257068,2179226944,3651027793,5745942558,2008736763,1337911432,1324928380,866579281,398749269,2756419575,1979918706,4704415299,997109823,5262921060,1739620774,754306375,993636840,1259607990,3265161333,144156587,1394759010,186470648,1962616974,860223352,2242960290,6293612864,281925384,379951510,236864784,808504040,3756414340,601198352,1113610516,4267990610,85868276,4452811200,1757471524,123119338,1543787320,717732876,138517206,4815043025,2000232696,230508856,1113033576,2336706819,588446088,6839588568,383687398,5779344390,1690249725,3106166668,2694585585,828958056,240884760,5492336427,566404422,3413419840,1186231653,549664545,596113346,2430727155,1363446360,1589075369,526098786,6981744176,1177330008,7586731530,1687788276,2910901300,660354432,7472964573,3875609444,8986628916,1813155260,4802698100,2356073556,5001532004,348136424,7078628682,6413904711,54241986,2646825398,1815357712,2658947224,4460859670,821498006,947887812,3465691376,3982158616,4216689636,2581937836,1378623969,2194064045,2461591820,1239272862,5486879152,2702870328,2420705202,5895113056,2567336512,1166591160,4739049024,2741469664,2434962717,995907970,181832733,471438441,3077980396,2061473856,4608364528,929752893,6392463516,1493720326,3490931169,1494283652,2804724348,2888585215,4613527568,1579582822,2215660935,6501415123,4643287472,610453928,1632519567,1288462776,978488034,2903807274,1111999368,4743545724,5147089506,128517166,1883381290,7454903200,971381380,2532343792,2562969795,775259380,1782414270,6077177632,2242944132,346716628,1768063652,999477488,6445169059,834906794,1076941568,328062836,61176461,2483903845,5393152854,886185936,538188276,5280998298,3177688280,3404984856,122829106,576790511,6456796032,2871377448,1116350634,5629930600,1400285090,1934460010,1659479495,55696978,4146126425,3986747665,1807712786,3098119656,247302484,892838796,2493880450,2926377708,740445908,788904256,5010061032,170879592,912140360,2308007484,695612892,3175262298,672019285,707799981,792164907,285362308,7126602120,197879991,1498038918,6133990192,637419347,6398815696,3766612220,6907973784,5009274560,2410926921,6602020776,4489332054,2798485878,810984916,3431936532,114530598,527699548,316329464,6501553392,771905204,1075778340,1921694328,2672759340,1261600128,6766565664,2564756904,5854326000,7911877482,450119270,173073359,300946993,309421183,534273736,663182200,2124315770,307369977,252879030,3178205852,1075103120,3640607348,542356767,3795110452,6758385384,26613812,1001587584,3209287516,3476697558,493048909,216371440,4434756685,1420776765,3302435106,2220824530,2871537636,3730080084,6879547367,36613905,229937896,6629510120,8844736599,560004256,1722576501,3609078880,7053295056,1490890336,2951321015,5273225448,770789698,3575497032,651570417,227874930,8936066718,543307586,149760864,1133305590,120951842,1760325009,1242027900,2120410192,571542205,3154094019,43928416,6323760086,393611211,322381149,4248446598,2015853500,6600330520,3704745648,831800781,1160465350,2130064925,4523427056,83230701,8619404256,4728439800,2068551780,221512650,5226305604,1807251068,3187974680,3856489660,728277692,1588543420,1188027372,2818125069,6087195256,4943194390,1170981896,4506954515,535614822,604631694,942253536,4411464197,580521648,3999195621,3362621120,778386272,5065002456,248302355,717658401,386796393,959343046,1703855268,695691128,2340279087,3304713404,4857905584,249857344,177752682,4423559553,591583340,7606541214,3725054512,4531691439,1577848896,1157214410,2649815754,3162666820,648244955,5303694032,2188630992,4980868067,5459625672,824154723,591075597,286451420,963560788,2811897084,927869663,2631343338,3317412840,757104813,471733336,326753308,5700292206,3340400526,2863555016,2450018652,2026311771,992693208,3444258090,1177773132,3738395080,1032926694,6204753422,151193768,2334374564,4716191412,294775347,5095850208,1690743768,650998216,2912115824,1826906332,5534831328,517494978,593242023,5797501284,3521548445,3951037690,1757730608,8746715538,1694860440,1578762892,361336480,6884910576,1379181420,2788495074,7936810080,8085630753,974109384,648056184,2763642064,1182588030,142709257,1461586248,641788688,3587069504,1676316150,6143691192,239907968,586503771,4233319995,2430929992,937456504,2418200760,1323088498,178013648,424511664,592570173,321760723,500715210,865227860,2448750224,1467051390,1765117008,620799935,5731761490,8930186604,3728803285,3131478280,3529063188,1355983086,4823526480,94845807,2236340799,4807027425,4038391695,839075625,1019830708,453999354,655224075,594851621,1665046486,256563011,801693092,583467098,68508986,205433215,5301305406,2284082280,1192981272,1550832096,5457949764,8484935589,3931529118,709399716,572818841,302384794,3440709360,1083940794,114756140,2953593965,1902503330,7157410623,3578537888,2950410600,2669410926,811038338,6777654093,75851166,510339515,3789459527,437672997,366227439,238222641,2942125002,32126630,1966460643,947652746,3790613296,961608272,1693349944,4047655129,3958683156,1256953516,1892293875,585175849,2767324050,372058280,2976370480,235673820,1647534147,3151202792,2315768466,4377918496,5304543546,850010064,1211121120,4022687772,611778746,512683632,1200232012,388068471,5961271176,2668394430,2017091205,189071206,2340556119,401192817,853708156,3988872456,264628884,5541458904,2988632801,3326094452,1243112478,896551643,418653195,1776173238,2633894928,1569190584,1598518887,2823845130,112423284,1534813548,6125007602,2452136292,5317010650,3212660848,4196706420,218694238,2186803101,1897400745,1306231752,2737702098,2982906495,6046669232,1442147912,6370272117,3292178616,2074492203,1846593936,804896232,1660511440,470511967,6820963659,1135274550,1756599332,373403176,3801265212,5980960601,611426495,212296545,3835554152,2416462384,2056826643,2544247937,56614676,5192220360,384020966,5684825439,1470828752,150751422,386962914,220579830,2208992820,2307093420,3138954420,3074193768,278721874,2129609344,2953204656,247956569,5240723936,222774574,5702808312,2925352372,116593585,1445935225,3235627425,538261446,301877880,2115303813,3538199250,68336826,6118642760,2225307576,7976009504,3650519776,354709937,2953482424,4901949216,2126795445,976521360,150429054,540198200,1945507992,1220868768,3486192664,3458197740,3449006680,1883142843,2670386682,4044139392,1434107968,6868280880,2622429984,2142213444,712921552,3059184450,4629325216,1353839661,583573229,2319557262,3383668440,2608715580,7793927946,711810360,873366144,2906631240,3235230512,385229114,2024427006,29557777,2215690022,2841185244,5402372904,3159767718,2584430241,2503302408,2362764392,626108673,2566450722,5171499738,2073054765,247603181,5116222782,1822905135,764040312,842858818,4632161316,5513832150,705040880,1968828676,3197965446,3975816591,4001797772,7001560000,1221427962,3023514936,925271587,1513360764,3060595828,3593537775,3030545124,1576172094,5443150800,989740334,1376740176,1941074165,2714959002,8055693144,1356442812,497889077,2966940880,114784179,1651872789,1764254934,4526244422,3884552072,8105134968,706246878,2162342672,619516088,2887740198,7641843952,5797244593,313770930,3257599218,7868340846,3010165354,1907175564,2025448784,2017054270,349875,3888402518,4519615614,5563707432,1827682514,777263143,758892744,5586525903,648084620,1635364242,7819815952,1779888483,2365950060,6402290128,2903502600,5666525456,2135921800,83450283,7109088966,651635124,893247555,3858197235,429722229,354065952,383422440,1128338799,2037751203,5937341456,2797865370,367151834,2139313524,557010900,1702381320,2944335576,528395190,6007599848,1618376475,2702570265,3263967081,1530624504,549603080,7102527232,4999749450,4991470695,889038694,889837270,2975291178,820107783,1232310360,1086865860,3457639468,4753951338,3486028620,2093764260,782657886,7812795080,1576273560,2851209384,680240244,565337900,3884558264,137541062,6897354615,4630715757,2619747894,1241119055,2030223351,4148956805,2988326044,4551970734,3349994664,93703168,842395982,1641622920,2055391530,6924009554,48155998,2640967770,1202014915,3446710024,4985984952,322422765,2246529462,7336908672,31355490,742506805,2798038089,3083105438,1683104916,8421416055,118013580,2158618028,1360655596,549172282,679610715,3246944580,5381582384,784080872,2000290616,1144553206,4864436310,8971331544,5102961848,1954418452,5919730128,4223876472,942430720,1751246352,1345219632,1133648792,2007758560,5912064900,1152057578,6431396552,1119235422,2261361550,2096061700,253922889,7095048840,153685392,6975989320,5389991334,5757594296,1826009526,944578697,7831529577,1435338530,2288575192,434514549,1378149162,348184200,2001036390,1910517651,824396112,2252460888,1835589252,329515416,94160122,1431747360,464263796,1351787572,2960510332,4061901060,3708362184,4355724664,478487014,1293549486,3096964150,335228624,6531533200,842752460,3129552740,323674319,518609404,86233050,3525168619,300500269,871935570,3018697535,498935391,2551516544,3991631024,1211434528,4019471745,3215829204,1158035392,1863208914,219351567,1349427261,712884494,1786508384,51912718,2869970985,5930151414,410857720,2612954673,1446772024,6582000280,4746073368,218806698,3827566128,596261980,1588645544,1536773490,228693997,467095132,2948372820,5891215260,5361074616,29417383,349555875,3117692484,963403209,500315907,49539240,5170908806,2385721092,161539904,5244777188,1380403246,2658849600,2930588064,1956169894,6042114608,1351102417,711340113,244760333,1355791824,3104264385,1297416960,1099934548,440017956,520563516,3332888658,2774877266,2305441724,3742073688,1145625018,2710918488,3830010224,3498713284,1992148195,3961954735,847648809,1235375709,1508758648,2452584064,4745511234,518078910,385982904,2060772200,3659535088,6007508120,3879868012,977316172,3558867004,1556833968,662104420,502140364,1162465904,1995056252,828608517,590282208,2871568995,3266774379,6766083495,219012615,3313941408,112883169,994484591,99193014,5994960552,485913207,4235741248,5100075092,744284010,872982010,2363718519,527800222,571611940,5614159952,2835002577,4371016986,103181440,4496969615,1694508212,4110846125,2169636000,6601614928,154256725,2878604930,1424185882,198951363,262742447,1749045852,677213862,1525151022,164736027,1593520496,10998774,1315322070,3192189480,700719500,6722351671,6537267,3523013940,57238951,7331524440,333924168,4932617805,2356778816,6362851360,236082186,5159828248,4660794189,3770389104,8746969806,1652877890,2478861760,1277255754,666436998,3192157572,449958149,5243847600,1026658674,6948677322,1365363900,3476868932,1988926562,1742334184,3240817765,6172720032,287825370,4305385368,573407332,3841043180,2293742070,3827029816,551319924,1509007364,4060485755,4415466825,5915806500,2431790160,2719945030,2039599260,614771689,7226684120,2636382144,6407899757,3688377858,4833476300,5573857872,1492611351,8098403778,3089541820,2903890386,2192659154,2113210530,996756310,4085164449,516056296,8928584262,833771465,1631740554,1667765166,514695162,3873882131,7572847000,5951662346,1167445068,188290012,365619054,70098657,1779979718,5055559119,4958404998,227849500,4906854258,4274565408,2888532624,2892184392,4005256871,3441681340,1921991422,7997095989,508076964,224538973,4580243857,1708113924,2104791051,5412187686,3162941572,409142930,457252923,3426451852,637467881,3748455186,4292169468,3803375065,1845885609,1026649323,4678580484,5426809302,2991477270,281245765,766950192,3134236284,3003098580,1144206960,7482672176,4995511675,7988235480,7431798656,762277446,1985610665,2941354872,846661584,2204367996,1220863368,2286201968,66916326,3412198270,26529892,994466242,1547547928,963580684,506604065,4524205149,112635834,989532384,2044663704,1388947436,5612251816,3803544540,88063446,507452492,430732925,1264138566,328089684,6694470176,597346694,5376049756,3686798580,781033733,5018329106,2415768906,392570077,7247335842,2733924552,204149220,6102811575,2430341208,46267314,113227945,6851746685,2463174268,2418119845,2735215281,967864020,1446326315,2885724492,4561089960,2886068886,2423332527,5876218355,3595871986,583599434,1352822124,1131527584,2170878024,968670673,1005755320,3173265186,37241164,3343719512,2441732293,5506612624,4915884843,570548256,1834075364,1867383858,156180673,259988385,3934304402,930344142,969720396,3498995768,509308110,3241121616,3720819490,5512789932,1671774162,1106278152,760977068,4414621491,7525252611,2389688352,703769025,5336970176,1700504645,2054140125,3260960160,7353931136,2250455400,1059775550,434402520,455682358,4177625995,5123359260,263452198,836292226,17854036,2415141520,846616386,114557275,4613201712,6820318264,3815451776,3536989960,1232154402,5254065648,2055968883,5798392932,550233962,5131275660,6349142313,4102927008,87074950,23821824,5270985450,1008765760,1217593652,1060649776,2583360945,3576939390,3126951108,655907371,1280621296,1441182638,1201493768,2939292636,7119938344,2825909793,5334671080,635982202,1498548747,260309065,938475992,1381031076,2390565414,873753016,956955071,1356497885,130502875,5011477002,2611262352,5608969336,2685752356,2893333700,2385796955,1250156943,168724437,4040702060,2945694416,4636007268,31355535,1582431237,1249905444,71111722,1011362988,4353058446,706425114,959122161,5413865508,711920946,790744968,3934674429,3153248696,4885078437,273522608,8832893481,2930465384,1979480434,6565345192,3767751896,6686682112,3857568450,2503340940,3210754734,1290884076,736007622,1918883502,5025180856,4394452839,7642799664,1928370946,1355119140,1979585016,908397920,318032051,660366369,2329878470,775910372,113648943,4074369430,2638028736,8901707121,3892464940,3411626390,6890391744,4798620900,174845120,149141458,274413529,1061460396,146111655,555792552,2663227260,1835320599,1190242428,6240258507,1806440884,3563638205,5529081894,55142801,732624283,6676460800,118012062,1411359228,692869890,6789385925,816174428,2652286473,3245190096,381027339,659229761,1976442312,826335474,750227744,1575429744,583104552,21411481,907278008,166956928,1547355435,7968626442,1848572015,1166569780,418804207,181209950,6789115926,2903083470,758436876,6441456393,1750904792,275459688,945414750,3492867537,142695675,935242316,4706560190,1544817426,17522379,2259819261,5939394055,1978061790,461759157,1614495480,2497913180,5507959626,3498031465,5381747622,3012993735,2593315830,3028730710,3001226361,167524656,3224729320,953540262,4922998227,2599124620,5152318542,1597309602,584117264,828319418,3764641550,4800114954,1060783560,2380944584,756035414,1862690424,4341027600,1938399069,100667904,2054170956,6561392940,385456222,781320555,1683886038,136249800,2937190544,6596133488,4629552790,3170895534,1579219092,2177057736,32174974,105054213,1887210016,2409242943,2728981144,5674736700,145001175,4042448080,2087601820,3418318308,2283316200,603894312,605644228,302352630,116056666,928231887,3920305165,5140244916,1405533496,362290992,90076456,707663382,1028274160,1499133060,1028166464,839223630,562046924,1960760412,882723028,6146365806,8356811931,429233010,6875837928,2902987945,3884914848,4509694835,2820110540,185310102,308898200,5430805578,1046012574,620159140,250592754,166433062,680745860,614263443,2452941888,153033624,281756388,3728033304,500878341,2217067731,3257023810,1166190826,3403944040,1179007180,1218678080,768858206,129324286,327159372,2947732287,239802526,982358011,724943253,782498736,2163671598,358337568,2192857984,666620925,1206775928,863927456,3551039396,1943544556,3975720372,2848519143,4851621305,2681095590,797921538,3114940604,1527582414,614111090,3914971038,6634734888,3937143584,2619502240,8755984422,913716824,623610266,2181536928,1319136385,1443251520,5407246158,2917769040,1128650688,5803251138,780369858,1005721551,1283022718,73134411,3627764356,7133283882,246710892,1096918518,584311305,2222359050,1911974253,212628384,5181177804,1658282230,2476078556,4804915024,2898093078,2161725559,159922932,1075834800,2943659620,2213259084,1316641132,908429162,7777412896,323097198,658513889,1489768792,865249139,1370075539,1418016256,3693871160,1272616888,1285775031,760654860,475209604,4133971704,1253145308,3129273672,1742185992,120242636,332381993,4439200344,1699210812,6043809786,1520328768,6465227904,3346160952,1043696171,4244514264,3915178224,1014578085,5118783624,1404957200,4788694788,2109945887,578329226,372429978,4684134702,526546360,2908022396,3679472564,3639555000,4946814063,563286204,289680803,1085663730,1903915325,2031579640,826968816,1126155608,738130293,334968040,987976830,3946111252,2094419760,5922780102,4764354534,2027390004,1948834306,2434985792,584259335,1628774682,1362511368,3203081861,1826258592,1539763190,280244528,750636459,2489851203,350433544,3413344625,1125338516,5659322898,2033937455,416526172,479199196,618491080,3990121830,3240097584,2579729628,3220693231,721397335,668943938,4889331670,1051307712,4226797284,8168424723,6347262663,2291831770,134357344,4815340845,2119177900,875065440,4133436093,444031022,3841862765,6835154832,7606079820,476720108,1203056450,7192664460,1626339106,856757430,549031101,1642040414,929149295,6949323857,843972828,1112570919,431308755,3824388932,361121054,2770909155,3603668092,234313008,2042871405,6546519980,760097406,1384818692,1678645221,3288984810,7378553322,2025426756,3710136905,6898113480,4048853840,2074803624,1515592362,1604479824,276239727,152441604,1678825360,192093468,2331710619,1181853366,2041169736,1245862298,6114494529,1690922268,439709812,1356884120,1547816774,6304222144,1152917559,1097463736,2856158488,400392532,96901259,3650741577,854108792,3468120672,2571840789,2629960564,1021088796,886054082,4697051715,2052104697,671858334,8791572132,5265672336,678087531,1637640254,3939030900,8501200155,1890991006,47856656,242359971,11018505,4367150900,460668549,120417195,1811174832,3413673468,2351078472,3914254616,3207868264,7163524,1134366597,3667058840,850225392,2632136424,3833787168,3777587208,5614799239,399886269,4398335270,627680852,202839445,2111419720,305757867,335784515,6523654296,823773044,437634965,6405462287,197569889,3616598830,5858006697,2348763352,4786770100,5748880424,6691836663,272381128,3859642230,611893334,2758870200,12521888,678641224,2372672000,1775187113,5446123962,1255789704,603385505,523974655,980681633,1458116556,100466940,2152238848,730160907,4992650712,6326867932,6716704112,4313583288,1093621227,3029287485,6982851456,3710965239,209907359,2103988656,7872631128,681320088,7695766120,2653823176,1262821826,3907617728,6759091000,6214810364,4325635150,385765656,25919456,2447334448,3586119676,516290652,4292935686,183323178,158009480,8617991661,1881815024,2528167334,155487326,5265296106,3076101208,522967581,5571673173,2891365317,480266689,614623342,5292096726,1010008065,361274280,3930784710,886288824,5294472978,1540897086,754361189,5161707,1081403982,2494291490,1762786884,4975542470,2258486811,7662542940,189176906,4215561126,6689643768,4431910605,636735304,528608898,1072547161,2178473430,4191221936,2773708065,1726976008,4772127258,354134080,5968018038,1334480403,4869098343,2098507672,2253854790,2674376872,8500019103,339737934,142267741,3299293170,903202284,5392108884,1265776852,5182321599,2826847842,5288015142,5924693008,141518951,731684710,2957132520,769305754,2145989860,5261408526,2905094096,3735968530,2591834105,390931760,3729754120,3017268048,4446228144,53414919,3759852594,4593000870,7147345806,1716680014,2128522040,4986522140,3540001092,2818509244,3417993288,991924626,8925327414,4537648080,400037765,683800209,3285131108,398209158,1476653800,508100766,2940995466,3884038704,356362855,8610209217,5243945959,5967534027,3616375364,1930636848,288741436,1237010481,2969556572,2410843860,2868193612,881504142,8361659799,545066174,4314149700,480125640,730063607,2782783045,1602264132,4903312695,54133860,7991643208,475383784,3721592940,683403348,1699596474,3389332772,4667637352,258158270,728594712,5671547624,4700734128,618509494,7596891639,1295378725,5539462884,1000724990,281095225,726516772,6974026857,6466775980,5418193920,1817022025,7086230010,321120819,1231879934,3854191194,756746838,1324801618,161858222,197913143,721847106,5342067930,1897949344,1779629380,862006757,504290777,1422779985,385995222,968187184,3171821412,3868734128,4439759730,795831492,939889420,6209835112,2653819416,2414129557,1156525805,273891136,857412334,6148464456,295907850,5118358635,2633470626,907232282,4203577350,612182152,21625707,308304035,1870349924,4399464770,568042494,6473176614,1425197562,4688421579,1775346015,2391939312,1712913882,1832242656,2043053250,2685288004,1931092896,695234930,6968744704,2360115588,44698061,909249741,3711672792,2669654034,2809376910,3028952200,298520690,4468013844,4633435575,298005295,2365700540,1374877617,8403545979,15283372,4817823345,2517547550,35480124,2108190114,258089013,1659666254,1786703706,1856665168,5541126432,710800580,441808216,3292763445,717258054,2097438048,1826093145,5692428459,263523900,3503342932,2006908191,96455790,8233027506,1088775402,7149543496,6344123842,802901342,7567440280,1781765655,6269276335,2357425032,2170704357,4594028313,1095776680,881249492,480786188,1656218739,4099363272,581773354,3544942541,4880011090,882395718,4838939577,1158327036,1274107370,962243009,376487650,63935064,735801510,221257089,4382797308,298144782,3745960317,3284089338,3884503966,731932,4958485300,1434816812,148290606,1666186582,1532107244,470444460,6014543704,7663071208,1931478624,4312104184,4606110630,1233041284,1881096264,2038214528,654284551,1274851998,1038625240,3570697104,2794867149,1217936403,1058467085,2925163908,1255017897,1757373664,3068650235,1567467948,3812039375,908294586,1618969218,667341999,4588795792,268942585,5913903342,4645289550,2222292633,3573543060,3705779028,585400749,8440628643,908531071,3263851408,5980551724,5004439209,5632607827,613929517,2555839032,1564987868,3664429722,1636442646,3123596104,1023565914,2108041803,4566428328,4562071479,3550706130,939165147,1278009324,2943571713,6659577729,4282123488,1254946332,1600787390,7738901776,1158815280,326239592,1689627828,1047932445,4209241864,3262295496,5847959194,6956213733,1283548650,2075917617,4469168208,3818388996,4354296366,2508389136,39668891,204166992,3249196812,1127459804,680220324,5197908772,8704706841,2006960793,6660066000,740486439,289884126,1952405287,4911358878,3020282636,2893238826,3853970496,884528267,3349726188,3447763920,2473874264,8924119722,3891246300,2704876935,2707270542,317853740,2412919495,489929204,4361848085,7280085654,4202170845,2579332640,6071225664,285435702,866927304,2453839776,2359740135,1980725165,2916140157,322283470,5753270803,3518484232,10413462,1943071767,3709689030,2615028696,5571469908,1799578616,1516575196,606959868,86079970,990429024,6343488968,4432566000,1007554152,1489130348,1274088512,13802994,1226991904,485105705,1767370602,3039859425,394322399,88071260,1053022964,215408050,1006170848,1923437568,4318362828,2915232858,3826920132,1918510470,858104987,4179734490,165690336,2043932560,7221467872,31790409,2702808318,152618816,1279592712,2044575576,4212275825,98679996,2467293948,426218020,1778024022,131101479,2041411673,3268169010,369022423,1892045217,1920195936,9237605,976131786,785246596,7458347520,2565292212,2183906655,3137624580,3982614153,5332237834,7808782086,433111197,933714016,1068562227,55953872,6859074344,191033992,1950801903,3090675798,6967101386,2882095404,999156976,308132176,3998723544,1349009140,4496025306,547973724,6847737093,3268128795,967380764,7796616056,3012336290,479449746,706606497,182627246,1853719632,1361461432,656141070,1333516740,2636384430,1203446200,5358337932,966453750,1730212260,34511040,3923143362,1693331780,3165331746,65143958,1777406528,396618810,1204509843,3599214572,517773536,550504467,1347163260,4764799096,1754721378,854891985,3569727212,4211193721,4386543252,1622916318,4385520152,4545815195,554573094,806166024,445379036,230932176,4530097422,2906918562,2983480752,878693573,1783046858,3843114695,3601486987,941476376,1463099680,1438710168,225528771,2405661708,733575456,202960545,3910801491,5784388392,272700960,5027470944,560389138,764948372,5451115836,2862079491,6790547330,746772368,1975355904,3252813384,3564619368,2695936832,655395326,1650861162,2897533696,5070175128,5037497997,2032643895,966521770,3845266038,641557952,248127714,3875841804,1576151608,133535052,303558150,1101328700,2241587131,3616989669,3127077444,1610738061,6187850774,939413118,4300731239,628137608,4904442627,1610542322,475533947,962206432,3587868868,123494306,1017653772,2759632995,1965231375,584780085,6752848144,806850182,820251933,3208157336,138678610,284007378,57355950,5461549373,2329047265,3306456378,2963097858,151308611,2917238080,1991095421,6591136986,255208075,1376365852,2145324267,162277560,2974255676,2971943724,1639278552,3609355960,5802433749,2679425016,1869483320,7125431768,104045822,5418682602,1041332376,5215082442,3806594465,1841492079,415863075,979931985,1203243780,878758004,579035938,2462697069,217214030,1294844285,1481973654,2989053796,2088898509,2184874269,204747508,1794453696,1714655196,602900667,4383733824,1641619540,1760210076,2031166392,3787962899,31363759,2092831720,339086219,1947403146,2880302799,1472444736,1480119172,3160300752,1613549570,7004666056,2290832574,4678897782,355463625,1306592462,1143032788,2378957385,3813328125,350306080,2927295546,7203862848,749620630,470042232,4603850504,197220818,443896222,423991765,1415877276,7573724838,57173805,65566669,1195202560,1771498242,2778453957,5614467896,810088580,5124481278,131780008,4334714056,4669811080,1180362756,5676885090,1618341136,839938098,1792096176,165513246,1981203380,182493686,2373086796,2130793962,1737007792,4868711285,3217373585,768282282,1718212436,6812963208,2355569142,1108627965,6280180914,5243473530,1320414852,583107732,5431689032,1299983664,1685330136,804405327,4067435632,69525911,208898622,4677149384,2191101864,1278932868,1114545957,2650618416,8371033326,617286564,273039624,4594808001,4907841140,1803310443,570153500,87349040,2505685581,433028695,6566771533,4108886334,1242890006,104130099,1548506376,6767905264,946062018,7938155007,35949817,5068041076,658317993,2676306495,2488889067,1947713756,5118942164,4493325991,584639823,1107940845,3403057311,92602830,7200808296,724042539,980438771,6336125478,7857287433,713076996,4025620854,565678431,2427240128,4853148348,1011172470,842956902,1406890278,1268964473,2857889097,4219523343,2642518136,2425165792,1525872660,698612238,789453551,4002627768,8021097783,3463676562,182219023,2824250528,6227491023,3152976438,526471101,6374262879,688862730,226181211,1706288418,1294750473,1911020040,447484672,2477718850,291986391,2482243480,2385678042,494968536,893550980,4067633648,4956005160,2773503712,6958226205,3891531456,3309780280,6680201634,3021156416,814895264,3982909988,969764650,3722569470,177637887,877676070,600673970,446128578,4665464601,997165395,1181904608,2465771580,6961742838,4695547550,272044695,1266753545,1178905088,2333840676,4075473177,715708737,5396870844,2165092230,3551398080,1898722648,4218148640,4628059290,2079033474,3853023966,1547735740,2923526388,5956763050,206806395,242125086,702555980,4050646245,2843743824,838385975,3471862908,2669852128,5433976194,367980300,2704536976,5095353924,219873685,1675698258,122462676,4341103932,8903011509,621139812,4142774820,18092775,853519236,2376105201,58208488,2579390944,53575550,468638728,1948179840,3465306328,3842429345,6800317104,3145320444,26780262,3526561350,2584127601,604220732,2044385958,2197126088,270679234,1676096480,3966525930,1320557766,3780509152,2087189241,5580656837,798581428,1135588293,2800718694,7831548888,3244317230,180290332,3477513056,264652653,2496190320,485083960,1341368784,1823303472,1765787886,3454786782,694117341,1763337915,4723315752,3691706355,1581721396,1132934185,136026623,4721695856,568044289,6319721896,4574741416,3014651948,1409740948,1269965202,1953790677,1485368507,8721149679,1853407020,4909735208,3742009536,1826099016,2774135031,354255430,2988594255,550275095,2022551380,78208599,84979506,7606552056,6543002704,505303576,676837644,6537044754,202109132,289469245,153292026,729232977,579724792,395264457,7209504008,105390872,6998383336,260859888,1053606472,4790565666,1740736551,2134874056,1329008040,3073649790,5165139312,1362534282,962624932,238352632,187666573,700067725,5988249666,1526134124,3138184556,4822672968,1935849335,5826135945,1945323678,5710583799,3830496784,433268343,68363742,1829320656,266933961,2855296304,6506043516,2190997278,589180992,792347010,3887331870,2971295112,3987211472,372705366,7440215319,1443065127,1790256954,900753918,2680083102,2146498080,5408899144,556165701,2952273270,5082589246,292288996,2306893806,434366728,2270069196,788356245,4007353464,2192910915,557837724,184482416,50910308,2466020622,1715771550,1988925030,1304424942,122780694,833324658,804766203,3889629765,1612770656,3914973660,743952027,364573680,3108560284,4219767352,772984444,3270713082,413133126,2440133703,1824893328,175030416,5486321244,2325776704,3859344552,3176422184,3418287474,2223821008,3448708644,3783532600,3029850620,183250089,982229210,3131305164,4125247344,3116382856,5752019608,2745920361,6148207792,4948677200,570731840,117586042,2518719791,5756980272,148059088,931131621,746659392,1529712888,232125254,629800566,6967751704,538998544,197593728,1126371224,4992247854,7246005576,5030735463,1965564676,620121748,2625861663,879669355,435827952,795368604,924214655,5802485931,7758124944,742735600,621736020,2339129178,208788036,223979148,3694406345,347451363,2026856735,1437723000,4208795160,2871454509,268401019,3173029680,724309713,4613963746,3118449474,1165910850,1248297799,5676042057,434555544,361386314,108890888,2999134581,652809848,439908123,5036373216,354951716,568345221,1713059648,3000361788,1695822000,3864959000,354239598,4843064280,5830080714,3418003526,8126465328,1871718170,187740198,3475635144,2918167101,2928919512,4903887702,782316192,3233461194,82411762,399343452,2870463834,4708579746,558972859,3526547395,1489044564,2092824643,2032210306,1728432369,1943339566,6125855004,3566645800,5321357400,691877280,5896942422,5616374958,109481408,759748556,808247950,647526687,3967721064,3636508710,1818596274,588893142,4655670045,8543110554,199064373,4033964704,3346983872,3559274280,4440163194,1907883429,2609501790,1416321198,938425303,2693510190,1315740276,5065693304,3680529372,1933354782,2495810305,6087546647,2290595832,8804546613,3185439036,4955163465,1765468152,1730376168,62733402,573746360,1520545568,3391242055,265932112,1038193410,4949801878,77148196,3690072960,954809022,998813216,1687758993,4436336345,3751204608,326739050,3516853812,5378574006,4149200076,1992081168,6331713129,5715538773,558336426,1612314048,396014704,736710038,284697589,6253324256,353054164,5562668652,1507402546,256402600,2652185370,431257947,421539786,2139765950,4090385079,821190984,971699544,1719979233,6044190507,4567698681,1085669511,245488882,860477793,3553066820,1907891616,4826610810,3177845694,1258989420,228433653,1652233375,3808030720,627760763,6650447400,1834076880,4804446283,3854802280,1559824632,6424505794,2490471156,108664160,857500653,360413784,1190948172,4204032435,5791886664,3829419342,2475674541,7965566944,724383185,327008376,4349695220,1531620064,1215344332,8231478696,3091224096,168309905,4270769454,6971025000,202434084,3673895130,993581016,6760475946,703749866,4110127566,1805263313,1687937178,7742055784,4582407004,2708521186,1177856862,6709792360,706399506,1966558605,2692935123,2147499204,2201590672,413210146,763326969,6449538472,4248239016,3200557412,2979922419,3375979975,669101971,502655204,3858194100,4983249775,1560060280,2280757176,4094613568,568760940,767224607,5947957253,4119820920,466305256,3450371292,269787483,1356815272,2221576931,3829969176,4565387136,5244764588,3797912328,2917032085,929283135,1610026323,554990446,4253737386,3703570396,1427444455,2850702,8660157570,61076019,595115994,935948310,1679937555,249214109,7416044199,813157569,4145366596,7271426979,4276241179,4839989568,127575375,667435003,1273484610,523138260,2632683696,6172457130,1834882572,5076314552,1760597964,7685104050,1054349862,3594473792,808268616,3351559620,6399118512,1361552883,5494868688,1477549076,3421188918,340442233,2748586344,1104915342,3291094590,2169612384,3885676055,337582770,5394113949,7713669051,528792996,79994460,250354857,2295632300,2689966596,2720194288,80519670,4080771570,611137554,3078121512,1237731338,1521811592,333277020,645525979,7968830168,916103952,1212057651,5135927930,3481134540,1876542868,2005057780,124010905,4166571084,261175752,2225886464,1440929216,6589706347,1660940278,89291662,4885833498,1156249208,1173779698,1292008710,1110628170,908171200,3720448850,1616603844,1142294538,7876031176,1611308766,5359817304,6769634418,744428811,2428437834,374241778,5479755576,1178829939,498364778,5251237623,1275241348,3997711428,2098591653,108760597,3209407055,2085857715,86886474,2604121030,257470365,337729535,168174757,3622592616,1891144156,814303465,3567653028,670878470,2710486809,2604358602,6510941595,5724747728,375887496,11366580,630155478,2469961944,2830172061,1895710334,2618629128,822252218,7379417912,548318877,4292616615,4525572504,893825586,186446158,3168565542,780471470,512433150,80963176,573464364,338900080,527722780,430599704,1494790455,2303223522,398852255,932368590,8913621861,3796785216,3876715278,2755340270,2223768800,4794959800,1855786626,1956874465,2331662370,2404454910,2642829164,3658354260,2936969623,2897906844,2237193224,2411339336,30386680,1064149947,629545975,747948168,6669236112,495476844,145407618,5446079550,3012847481,369836928,580199628,1854083022,2414429328,160442826,3826221392,7360427752,1828768940,1081036026,889939190,4779628830,2218344080,227380143,2070603836,1406270616,5990367608,7221069488,8196607404,1677422336,4025428176,7890574496,806406580,2678354196,3909178147,7114777047,868836772,5821203952,4363541749,3244987136,4278955764,3207551850,529149555,5221987456,3226158008,1889843344,1566952929,964215350,379799552,6851669930,78021972,2874392730,5886246450,6346510568,594867192,3003179720,539978100,1211477376,6481272833,1166225958,2716639265,4334393824,3487097008,42354130,2129066588,4902179536,399664911,4200957621,7661383944,3243270155,1909987848,2271977981,506441730,3337847028,3234632496,1823126168,1883988840,1605167880,2723906334,7441922394,3523489408,493365054,1144426003,1167463224,3447968360,2890539190,645577709,1788895509,746638770,137257552,3771592852,7592357024,585382404,212495098,783886614,856224846,360918282,5965505208,5548263522,5294303433,778812822,1413417184,3742118752,2072033040,2553028845,3737246560,3529266584,302359312,3143430650,3248880888,3132773068,5505315588,1241317080,994094448,1980150144,3396214969,966265766,2512195371,1957692681,9990780,4554446729,2435544570,2675884068,5919131072,2171614536,314140774,4735041784,961014330,2488564041,4628844999,2040006385,5096560188,228276494,4370396232,417752001,1696322955,3552268678,2811620616,1469609982,3046220576,499159230,5527735045,5750640224,2894057152,7998487352,1965500466,2813691592,6073424966,708606038,1768791340,161585397,3648289169,1726522935,1046610365,423556540,1090273492,7872737736,5458157328,146735826,576344410,1520819622,607800091,3370408032,3161079840,8130199284,6135851582,2463658425,3771878804,519345141,1745107553,693429192,2421748836,6965924661,1338134896,99675787,233972984,204215550,256399052,4018546075,6657547408,1299368394,1520249292,3532292372,470606591,582886552,111302870,212080798,345227830,253884114,4552792578,550116266,7822962864,4444994670,1042401672,3646065740,4210671858,5574399759,1193733076,2815233424,3601182304,1988077077,33436656,5143401000,207646478,720333852,5961680718,3748367046,1002024832,8805847203,4992278960,3336273090,232666640,2368427229,2570659700,494809343,3571021025,4928526545,884349288,7113219048,834117810,1073627586,218456479,982928994,3953059380,998820912,2586810715,335347239,4100599080,3422945005,1334111742,1899700882,1533723264,2788215330,538206073,3797624532,1481177223,561076278,917514212,288668748,224097092,2737656525,11047683,502714887,1658604065,3128692475,2493503643,3247947940,1702644384,2244251784,507737936,517088000,1619902220,2805433155,2669075604,3294416958,1374204252,2342171008,2139388235,1957902788,5422151709,1339538778,2574915248,478766230,7796780163,2690689773,705829611,2166979074,9448680,652414138,4233304976,3480506360,1415812132,515435714,137974208,78751567,7202772408,519106194,900543560,2236495768,1484512362,348311201,7024926780,1236900532,547053275,382935792,4648512010,3765824948,5753548276,2727196839,844546038,416065185,2405598780,1792830330,1087742760,5171449104,765124234,1403246299,158310402,989808575,338315679,1762099284,1138376106,404813931,1584413537,1358520303,1883679265,161663076,4552298860,5308115268,2903392431,797991054,110504352,7163523774,2254312220,5173848197,5666853966,6744103040,8215958799,2520291216,2617607448,3741972336,5750993664,1072265220,1663050790,5839620390,7572889215,2208746274,1039108014,244601978,1075847730,2527948842,2360600536,380538481,4730348008,1903367325,659639721,141670592,598726703,3353874368,535408779,5783669640,3566285352,6898653440,1086021018,2385039249,176463454,3961238694,538206268,3766777240,5755926672,3744744024,3609427216,3326955060,3961565025,40657398,1774993686,1572382076,2902791252,2655675939,1744965480,688377906,293107280,404231352,1786442515,1833600018,4907893140,2801629926,2519049988,4687581325,5860065570,226314606,2236076315,1844169922,3635090872,997246825,5691574788,1945788372,278978172,3292207024,4716048426,1109917501,1291871250,3969751005,4017263310,191554695,3421890405,3565187768,242603624,1849450001,355398057,1166045652,2018544198,3845108631,3272241595,2110670046,777616224,1605708422,3829413428,437378256,869870013,6897181840,760665279,3708011792,318147560,2766259599,4154246052,4069121075,740360220,1607548848,1115161468,1581575634,7608771744,1516432768,7648370100,839421915,866229885,1182705624,853700000,313810465,4549839511,944936236,1747235128,839049480,148326444,548551227,2789987868,4109031639,567535626,197074125,3865200258,5265933407,7973755808,5145122268,3642997338,5024518611,597983603,2363839425,715763049,252570618,5419903728,904104408,3637040512,5775623217,1868275868,1217136960,483518206,6745134780,2012132769,467650794,1172952000,849748332,389688078,35920206,864861637,972900952,2817471404,920721160,2695256463,2798447205,365949976,1837253616,1887831337,460591910,5801744040,2121119484,717628292,4139216640,2516946620,3691535750,682381776,1021094072,6091726000,2718291600,4398275082,2221787235,1179802130,60334906,1687234260,3851801336,918950466,873779490,1723571808,2919564069,3693086991,5699443267,3424277244,3500094968,3623001815,2659109448,5394652599,140273103,178047220,101795284,738348147,848626705,4725820295,983776230,135882678,4940741178,4991692128,193359069,2543841064,944644238,7630887708,361837403,748833813,1212998106,3340795192,1233899681,2716504679,1972373416,1030687042,1831989299,2967081944,6490106770,2690732304,3302570720,1408671208,1634223936,652830087,2881572505,770444915,336763147,6067089080,3636166584,1651224498,3071881340,1296904724,1648932030,4560865744,1211031096,605245398,1716842160,1428623679,4940514510,4782783222,2481534968,651101884,2053053435,129093802,2558186496,2847710253,3113802981,1692648576,6268316958,1178604818,5390427414,1147622490,1464825650,112785803,7646883471,1004819679,641814370,3889783412,6606080607,3612687672,4402808405,3010394169,4325595760,2347531520,1032732312,1202312456,2916237079,1201417388,859903526,2782803432,2607191616,5589413081,7702709121,488593643,3653083917,6601715864,511454050,600558392,1658527884,2778246159,1217579890,2858155488,3574496303,2916523575,605275154,8389356993,419020504,198962715,792457055,5648675151,6405632952,5538527370,730826988,910518312,3442507980,1136500095,3284179047,3604834408,4322051730,292023800,5684996303,1660630806,3651045664,457323614,720961359,1651371524,4861612775,2004358328,1202219516,763593660,1816464368,3395452662,3026954718,972394904,2757755676,1063785285,932150255,314232695,2913380560,8785642356,4467402709,5700570576,603399704,620216784,1697015072,1353292749,549485408,6860103061,611121642,881432252,3253873994,1304683032,2371536085,2447956872,7280619744,637453354,3311951328,1793891583,4224498216,454847262,1265608436,5276431410,644829703,3469609215,359421970,2233359728,24996800,571910562,1215128628,1786156040,481489302,870865895,3825431832,1805015100,941635089,3310635426,6067780029,300554906,2713010070,1409404264,1907796720,378212191,1089813838,6146220728,2318639688,2883406570,709784536,405217155,1492129446,5050879872,178313968,956839345,603669480,1431555000,3860437063,5846379546,2995599852,1651310240,7565857384,1993688310,546408475,1128449116,765964474,4144691130,532223724,2068353870,6193313568,672536975,2584167438,1140846556,7585342776,169893648,1422692910,3418242804,3095495790,1592963576,738130475,890345079,607928978,3684264132,3844860162,202134282,1268694084,905062752,5176041768,3799604711,187629204,159071220,3615396552,968394018,965996163,653445962,166666376,253246502,1203965848,1312640860,6036972948,861434661,72645179,4121692656,3495686800,4580292255,4621724728,223529900,205796862,2851049547,1748776176,3689955,1885421592,1960423684,3280732569,469069966,447207407,2100758928,3000693935,3895709570,1236373281,1878734130,255877035,4005216330,377589830,711087858,7707003903,3218141964,2111405328,344912487,100333525,6671949327,2490018480,984664397,716068238,274410119,169313991,3769805081,825782090,1158283224,476882442,8108069760,362505527,6678188,4070746305,1574989902,480081954,188569567,539751088,286368872,5622010500,4625108616,2740693473,4959045792,4194775944,3398655870,3662781848,868690668,67718686,751074771,619110971,2179503728,1881197529,1157094870,2559587157,57575320,6243916696,873783405,301136479,5223058263,552081996,1092892854,842580896,63258472,2725468524,908923294,3850128084,2860222176,5063120090,2799700002,1690567358,741185109,278908323,2204578746,144084434,942786968,102849584,159741516,4562420166,4178281452,31933940,7270344855,4929527350,3449313154,1467781120,1049862072,6019587665,531738830,5346159352,253173306,265926015,4267569155,610234365,305566300,1930637632,175781061,3255079584,446532802,3551989720,2614248966,5003020728,1973060472,728566448,2908439871,5661639774,1631014944,292398305,3867278751,8319567600,1747451097,3199279105,2302540290,1435179895,2575399428,1038193215,468224163,2533902528,1250460672,2693874915,2129245875,2848286260,975312207,1715275568,2683528792,1002345730,1658763351,2127733083,528637752,3112837308,3445238004,492613629,2635947385,806678144,578930116,2779127580,5121640580,539075296,933597228,102724222,7621626150,3966819450,2036231292,791050028,1693909364,2116004104,3698903368,367588758,258231596,131726854,2618885532,137622513,2430111834,1427915604,2195540192,6954399765,885841119,1585976610,828460836,862327696,7543882710,1893030014,4822611285,304717264,2541792582,689135324,2099416955,445873284,1497753164,1170690222,3253006519,741438559,6000697035,835606897,63261684,2202352758,1209674646,266789802,2046481040,3966086655,3194459180,462887916,91749847,178769622,5121763766,546626882,358575665,893939336,3000012192,4495055475,3806459109,2078059075,4323685373,3726227216,829622429,556338010,396964110,861264271,1106579724,208119747,791649508,2921880660,3432232368,436959318,2339989008,3034494198,6761985209,3456316465,7775126289,823769646,1304769618,2872279746,760553542,2335470395,3600159378,72208198,2445328632,2469387018,2693868402,1908958764,7473548512,2495221960,709171783,981759410,3846696896,2045618340,917176164,2589794853,909953394,1002223075,985676854,3820365476,607351690,7639716704,284396361,6722580074,474768549,404743965,715795871,3552950871,1055747552,959365436,1559109468,789733224,338669046,458223262,243222777,2627241488,6600609448,334558819,2701723020,1954682935,2326520800,8003032578,2166478885,1459982834,182547418,340004568,998170605,1027391288,292585248,6761436633,3767253553,2618142888,4860937404,2994719955,689984886,618493512,881551416,1347516756,2724746230,6280352400,3438527804,7452174483,3731468705,3762386430,793313466,1393371260,5896788126,272504250,1011823407,2447331112,1860781860,2111520348,3985040598,4729027392,4896319185,6719037066,1113177000,3010537308,5229123474,3774126036,602155068,1922252016,7818260022,1905894032,7979551038,1770286904,4747802166,2441332995,812351808,4176630081,177759165,8795842047,254566217,5857130538,2375564044,333796530,2624360011,3582839880,14691994,1186827324,5543339436,2393044070,423912152,1399020426,2274970085,694296315,1561657864,347256750,3678468968,1698701125,7330478103,1036920624,3937901859,332515800,527589682,1498968044,1692088140,1329769250,6959646589,2479284148,1526661432,5965821189,2061178713,4465807300,1078726072,446640536,815139114,6323944452,1594865328,62224407,1202178184,7245364698,545500120,2048655021,504385532,2966868744,6283208988,784864452,4634757408,6719349511,1462126960,674040717,6670573320,379270554,1622122790,239861344,4606651630,2455150488,7985455821,6288018880,1971404255,478328290,2592620808,225790460,6436051056,5853319906,1751783805,1808826974,2380734480,2721934878,1618928199,250312442,378661495,1130679708,132983250,4704690882,701644930,352275078,1971130553,621704346,2407574248,2314920696,1177747210,3153051486,891609828,1180881924,5209666749,2376452844,3252350262,5131948016,2272178394,7608829168,1175051694,3791334560,1048731472,6238331400,6556681288,429549808,4156180281,4387689850,2232796695,482474124,1086611964,1824906012,2716010220,1300478156,3067481712,5524048264,201633624,1583681012,506913385,854572920,2898030704,1292337267,5052358944,4453769865,4848000822,4616795646,2580002180,1207785045,3966586932,73773513,5797163912,3749032616,1769183484,1480096640,2798478543,2173277949,6614449112,807737700,235507370,2261542280,7005903536,1084597048,4291966096,103849836,2580585063,2723064312,2848574396,495197197,532277995,5066183178,7363443840,5493223626,2955406656,3351561282,2576494450,4944275735,2145203892,752522358,6552898722,4602386375,411650493,1360245234,2802071316,266261394,3412714088,1253776388,7857008296,848958746,1082297408,241486636,352189524,68262995,3319917368,1328500680,631034160,1912865416,552750146,7092785576,1934464560,1938058106,2926508930,485448885,963971124,1400828825,2559711440,6667049968,3136967225,4821698070,611616892,95850988,3631298778,2758591080,2669392320,1469433016,6875574013,4143422200,3652089345,1340261461,1938953640,679274556,1514570056,7297872920,598418814,2468975698,406099725,4142784219,4071379870,6977618127,918184062,4522342600,37939782,2640458536,4460311376,396141201,3179696832,411230976,3660797855,1931688385,3302247024,4354074600,2076063328,2191403860,2730173367,792465538,2939292368,3842051735,2421461664,983875326,284897998,3538362930,5910526449,430634300,3336516348,2839633326,1334466385,3722238360,826087662,2294059590,904703160,8369567757,1601631234,1620545668,2402791935,3163157868,2799890010,173310642,272084712,3606352326,91203586,1209797288,752066274,436349928,2391991632,1639076514,1726312516,801144694,214266090,445809695,1523263491,1974618646,284268037,1663897428,1568063100,1354986810,1806547155,2323253679,4636577533,1675293036,720714903,1146035751,1878904465,298390128,1085256981,3144927588,189863781,287718294,7634642337,4573945345,204035256,1943200440,122086209,3617601704,1110575930,3281627532,711714948,1168625882,698326956,2548255330,2745780084,1787393853,764253895,2758970169,1124560968,67198773,2682936453,159249006,1154268315,3379417835,4107586872,4907421140,1027936548,5534444464,4553059596,2577206570,590043909,173864120,3154499150,3768516684,4278499090,1914823858,3656724296,6314926842,986883175,7474412296,2409993790,1753631656,1583854895,965500981,477718797,409555092,7994701952,1070818424,7159504050,487264238,1540569365,2489983288,878419945,807446814,1326349131,2741237145,2862544674,1098754041,4409474112,3317556600,1881496220,2343757050,411955032,513049556,625550766,177823450,1712651876,7906177521,261765030,2074448190,742988055,7988653408,1904710535,367454064,359237328,2232562664,813071583,2388945060,2354024652,2825459676,4115563816,4839596380,7240221738,5400890034,6509713147,3747573536,2521104756,2262797379,810536470,4759124967,621618401,7132356747,3301602888,1721958534,2864637592,4445733595,907152343,5728174584,5373185727,159294930,3519085488,4391786120,3554519542,613102725,1720826784,4296316661,204876438,618921086,1451481430,3323940138,937465248,1160583136,4478388610,4509413811,268460485,705090695,40563084,8446267629,2539990340,811417248,1601635126,2771657392,4447308096,1266561582,1395695738,521213148,3149995220,1344022986,4464657750,336785554,3626623052,1053470092,1177716834,724104804,203373029,2009670672,1845005034,2027341611,1991110438,3309441786,722426410,833296135,407523416,1668527894,2791404198,2460237536,1918728855,1222465010,3163162120,4606424370,3261098716,3823677080,1641958362,4148264110,3759934256,7263999450,4438143400,3833849364,41808394,8335978416,911883394,4608606135,770980520,8051144544,2890383768,8224538724,1745756202,1874473223,339405756,7618329612,1743284140,398241294,4376075670,811082638,405518580,1255169864,676019127,3545105128,6740848056,1860674436,4994755284,1203277655,3846549438,4741094736,997925040,738457650,1329290505,3113013935,265359938,925006,1457930208,766208610,2120168452,2479505610,1946888956,1310162211,5012006696,3400118120,4072625584,5936444433,3562754004,6170686844,250487906,765324316,1299543652,3730625885,2702412582,708105680,593993065,268308342,5627257951,3852945324,314483885,1800329376,625864801,7312656336,2095762176,1410427809,2488046922,5205215349,3647331444,704247233,2843815113,7302881512,3659517668,2281407196,488603653,4844850012,3278589976,3448048524,1074642330,4171193484,2508471024,1634582826,350177340,698100732,1774279760,374656701,485633696,231156903,716910428,952568308,5081756142,5912557567,1453892886,4702189425,1843218207,907993312,2693306295,3829699144,4568319775,340533099,2702909648,2271328575,3776431090,468219872,1479595556,1832976026,435507158,4643098808,687088562,919233108,437125940,6514085853,2328782985,2009557953,64687826,3824234666,1713641144,647109114,329682604,1655471847,133931127,350482872,8563350906,2127306579,3266893035,664758140,4426539362,3187368804,3210713422,1514754000,2836041664,975739761,6551280248,8898071472,657800262,3253971888,1139904376,1319272070,1762221976,3232396540,5491173779,1073430174,1544716210,857810049,1675596939,6385356616,3729551490,6106088889,896449398,2187990072,767577441,4982476896,1435551132,1689374016,6510575799,643251483,1949226951,286781467,1604282634,1813936572,1854408555,2351347803,1704989835,5419360704,5547134562,4064277630,6079531824,3763836844,2360029284,1894805200,250039404,232905276,211992096,4776318480,85097146,2235737065,874021631,1693603740,1226288605,869687676,7862895423,4851069435,168435081,773910362,1563957820,126091294,4270977640,434052246,606129342,323550696,617491612,5535369234,3122689143,1066966432,3880095456,432268792,549396698,2686385429,2848018090,624314180,2778338730,1153539513,2000135,2587371123,5273421734,1467801186,1862362544,658593658,5308356552,4802954674,74902208,4756787985,842278823,6990118800,3518363322,1168438292,2569702304,2593525362,1624277795,644044574,263315325,1443139288,5414201550,238474775,1949841600,5351374688,5841839124,2579098440,176595215,739605056,1927849197,6871976955,6385391166,3533257197,3470816426,5024142369,741212768,281270600,6532140177,717188630,6025191907,153859400,529307184,1411396702,7952380048,6139779317,3630827276,7469259360,1730326000,294837514,4333481890,1098289070,4180746616,5831867832,37314056,4739119675,1893187770,77381084,4298398105,4238092656,2452118727,1728427356,795709812,1889316402,1907134712,2946407527,446265680,1456274979,289939118,3087120120,1351439826,2720661921,4760058675,1102722180,2878995537,2352561270,910662942,2972489793,4397776061,3272859855,5325313512,2748452184,101194172,1064666085,804014370,3838196474,7031135312,471424425,1450849374,884653173,3061696170,7187922592,6366595077,4135044258,3480941365,3141029624,1555682826,3597095250,6041464536,2494856770,562406268,239868738,163019256,766277120,2284312688,634813044,3979180206,2119050235,860214685,643728870,132651018,822117696,1067161137,2640130983,299810163,375403960,7928118152,558328042,2346170136,5603929602,285183010,2603610477,477458628,2744171406,2913543325,1625553060,496568905,4698802656,714397368,7675463608,2218413324,684990595,1240389396,2837784447,4950363055,677145630,329881731,1668001818,4604256245,1996581552,1887806412,1232475204,593439560,1291619241,3101150213,3434534480,188340380,1182353030,1787229930,631970414,1896648339,1374395533,2981310681,418334680,2759370327,5643840960,449199725,3513655768,148602925,5631206992,1113040625,2711597777,2931080024,1669607505,6580546461,4241065716,684705068,2502903490,6620949480,6311681109,2387360032,3189718399,2187271504,1220232780,7666300488,557589220,1243890380,3488941124,2166134472,540184163,357256327,622069302,6616988520,7086745888,3976937982,464390316,8792469,1428120995,8120235906,464595903,7758552168,1592511044,1615671552,6276699984,5322437336,889597645,3873062520,2365789932,2665147864,38164894,102519164,796455170,1298500408,3787461412,1433781788,322163010,714992598,4395360599,2771811680,643300503,4311159120,3185188985,4888678938,35168293,7866799016,1116762616,2677971432,2260849708,1128330208,240761367,3448281104,1887434731,5146354255,2996251053,395114948,2804521620,1558817504,3808724997,297343174,801637532,2865537909,58290847,2566371930,5349682808,1418150240,972181350,3234130781,2911306662,4340792529,6606797358,579853041,753820908,4437546485,1911000280,635831922,1430987444,4401609752,842215351,7992829664,383323934,898060420,2296050018,280058565,143106313,3024236184,634729936,3958255896,3915374088,1279370942,1574728893,6343485345,3931384293,4749925120,300958134,1395732282,874363377,707995806,6541688466,1041281176,1661386286,5622163800,991966878,613466912,1908576670,4224440280,3472919550,2053357304,165365910,2254518992,3012585840,929447088,936482120,2185413552,483987117,265765383,1139546136,3849106884,1833585100,105324426,58025735,376327640,257440002,5066535720,768089500,1828076257,2634824510,804121660,3750374992,1217010138,5107424094,2527688140,2618735693,6315755032,1697258556,1807086525,2737289416,3617787920,2034583200,869804545,1043221812,650118126,1656468441,3957183352,346870940,224131134,2239556452,2200635212,5436777384,756702536,4048226608,5382680778,7981980224,369199311,3417073926,3000851948,2655421072,6706674306,3036430728,2431763520,495086525,875421580,1994374737,919614051,5329921688,4261709880,1941374500,5355351270,1489710212,311889653,1323527130,3794888025,2304126688,4850385813,1059983598,1674516404,2753267892,1987272022,1448078535,2371799150,2919199719,1593084856,44825493,397300003,1762872420,8071944894,321455406,1355175688,4744892216,63959352,3183231456,933039600,2900338256,699308058,4044159387,1895164233,3895860416,2786048064,4377154437,34069350,8328595806,2895907752,2769233692,5715562032,3359087685,454160052,5013690918,1613899162,1072516491,374286800,3205730647,1243110830,1988034195,1828845872,231846920,4794671544,380279256,1568832912,170513656,78429748,3201373962,2063901896,998573973,62757585,1484505152,2715015604,2108872004,3445389060,1052386722,1952218572,1707533448,881208052,974846915,2426672214,2920387470,1830051405,5363198855,430498752,6655441520,730531830,1541048028,389381188,2710247280,3419559054,422847068,183111335,5055581456,942490147,260265344,459119076,2016218769,348259914,443332051,3640472820,3940069436,1122649266,8529349527,6621177920,5281230535,5082750784,1210882510,645085444,1580680608,3704451489,804977540,61597310,320170448,2094580131,672988835,4520870010,5183426682,706200576,7929691024,2509394067,500059300,4132680240,4143841569,176655967,5100555159,1180460548,1075054626,1126901944,4254150080,854587554,2770302486,860109420,456360230,1998001896,5393082128,713620845,992237985,871828878,5696487528,715524584,5073750240,5272791968,2262443888,3186006888,221986300,4730939004,1769381812,2759272780,925402758,3598077210,6820033129,483583849,2211345340,942993036,2571616000,1189202378,670393510,4020189040,853019577,36716580,364405120,1196558405,3484711836,1765228112,631274697,2149970968,1374253262,4284974946,1706533251,1096384072,427365843,415264488,292680903,7385910543,1736010072,4045588912,816483387,7869707824,185857824,4679502400,755396252,6122941304,4921471090,1070404254,6838804413,798654363,749471794,2741821938,48517204,222003510,330415705,2545473940,1020842225,1880639124,504510126,5776346592,549937176,2617025292,4621615800,500616100,302315772,2731254942,474765832,120316232,18691000,3665163825,7573701608,1382414061,981686456,4217752692,1055911071,569230410,4042476864,3938462164,2691913680,995979999,163945119,1816773786,1874441342,1854567126,860837085,4815165789,1117691771,520581061,1129026872,3834217051,6672231992,2594387380,6646943905,6402500223,2793778929,2802028149,4725825015,440696144,2770719080,423477080,844209820,3139014572,4722586731,789840165,513675201,438488358,4004260812,3693187746,5581174212,3979467140,2890584288,1585596596,2281906208,27437352,3674044575,948250280,22076649,3322569096,1589891646,2384305515,3954746696,6909939528,3890209310,737410252,3714584130,4644651102,4540860345,3103170805,5301124696,2204759606,2768654850,1508265928,971346366,958174836,3350921925,3616770960,1433513142,203914004,1927085016,2824771164,5606513172,2839060740,154278788,1698181008,1219488098,589072162,414073405,2612574423,552025830,3373211541,1089939800,250883808,475270752,3401435855,6043253856,2076752127,1758510644,2793473769,5810217468,7130742201,3384188335,2580170742,646468772,788577938,5221649034,1465336665,60560290,2641255384,1636376265,151951080,6823588720,2816150253,6039184230,1089119322,405260314,109078376,265546245,682396433,1479710658,1508278566,3017223540,3820363656,5116243720,1484359338,421419024,1871108310,2589710136,835717596,624470660,3628940650,548495865,5912550072,148145520,5496637167,1888325952,2643678432,4827808160,201360301,999965988,5310029448,3178673675,4200679259,4677226652,691402739,5747533926,53085142,3177788256,2730287752,4354369902,440785896,1486180468,4510913526,924174142,1252780236,1517516640,49997971,2149319148,2554762520,8507973024,2899068805,6676029871,1487020485,5373081930,1959721470,1854482625,2660636205,1902252645,1782211488,253220024,2219471394,5481945396,1361411838,212692195,3223902876,6814267911,6774620562,3942093755,2279012841,1648280100,1503227024,2766468999,45857898,6977890896,2189687228,3598615172,3928045520,1446364060,2051951148,125031062,484047021,2430118095,2588935380,1244864790,594578339,3193585272,722276766,4988581290,6026815935,5906864946,1126609398,113792700,3580898920,341056248,3759942624,4174372494,4378827612,2091138090,437224249,3844003224,1587999609,553053510,56864670,2837236050,1733051140,1043649488,6257931840,566856246,1504275255,7351265424,27018000,3604876534,1870491514,173929653,528747330,2374219953,3216865868,52683828,4233367621,3673128816,1913889744,6031382084,3229557412,5151554366,2273990196,4541731649,455004584,3135074112,5240752110,1637869968,4959314106,1063172628,985441743,461368512,2290042137,732324906,2561647385,2658631176,4299227989,1205585912,4406453720,2298415293,2171647368,2646276210,2450855772,864889073,2890860728,827752513,3976854012,1734274029,2519339385,5972915736,4719781060,3181638882,5237859816,2278183327,1350581052,151637748,6653673089,6442561400,78416763,4514515785,7947728253,1981302819,1151175660,815740964,1264373288,240289024,2917825704,2091702741,7686343432,3248521040,3809046269,445676530,899047058,3736679416,2036995029,1466573208,3068115688,1109508210,4926094680,4095284520,768843312,3351138489,1222882328,5676821592,687471722,4441544124,1864114886,931621528,1722268002,205026856,644195013,930457185,8169495912,5548969764,575973877,948064327,2504632320,1279508520,7756563872,295837497,783954462,1945623104,1165860498,1838111978,4386511668,2039176035,1892940672,539974725,2421589200,292191332,3130909744,5431609161,2429270746,844508435,127131945,276140145,876533160,3208092132,4982209610,1743472010,2146411624,4020400965,295838374,1960903812,747946291,540740238,3754330992,792350278,639891714,5456262368,111515268,3097610728,3368592744,4629976512,3049411104,131386212,4132525692,3407771538,981182078,269437239,2564122068,145536696,474429603,989279116,2341938711,5695355871,1268692890,5237233452,2746808451,5115522978,3744296425,4984393527,575335588,3956425072,4251243815,3215335500,6336137969,849182553,572555480,850309451,4132353872,1529151648,1047177282,1487883402,1955215620,2883230468,2727395060,1594380915,3991199820,529989283,653108435,225537767,2139543198,894025248,3037368467,2822989815,3462252228,457388944,1298613400,3037018408,2032966440,7786038960,7692395949,810392118,2185436896,1383303770,3332605884,305822915,1010515816,8863831710,3139443524,7881236776,408130418,79892534,4875426963,2537399376,48895242,6217983774,3589181729,2192157939,2173182893,239015305,1722289184,69516950,4978589880,1962117675,1856883261,5042385906,8207865630,1427162866,6643055655,584333134,1839463530,1065081171,4177007456,3306873785,2804823028,3699598658,320932968,148629474,7316006769,913374680,836311352,4806654325,716060258,427615258,86326716,1809199170,2008487012,2158808535,7829328944,1175180088,692462561,5126786652,1096390056,227401468,4887190125,811778670,1065793966,2218386148,2491663504,2136234212,1576390038,1264204564,4257498570,5549344048,5875755606,1454275642,2738141115,2221534170,288356709,925486635,670378211,4042034200,1653719208,221436308,6326717362,450042900,6891825052,294447744,2640990224,721122297,2221753629,2729838680,1980752060,161869183,1165241320,196588122,222155949,4927053792,3258591256,4947274548,960447048,3547922592,283917304,6598997910,5458619979,3048447843,1739565284,6998877921,212839086,3625493305,4837896350,2987764410,3242538956,931151444,5251073229,1406026206,8639186859,105012720,1473126226,3388852344,3268970406,8678052585,1528900723,3538748768,1379568369,608368668,1049986504,565748332,651479468,5202917394,452606508,2512993980,2183725575,3214271970,888595280,2065425039,554587896,2510181528,587096920,2433303900,2004056,7800743680,573354756,6283181826,8813706,74471432,1476460470,239208715,3833922270,3241220765,223411383,102281470,816239820,2663171552,2656990435,3777030780,3394138024,1350965552,4999947175,2321857398,1799301785,621402306,6561871101,5419442424,2146244668,1517914574,2602861205,5037177060,2702043678,303681174,326179241,1298497599,5532080540,976024994,1443589372,1897121870,499983736,7404787768,1315905832,2379955697,1035226703,1593241000,240907398,1158948286,109422676,3664161232,280451280,3372674356,37413962,777403714,600446716,6162848232,2187312744,1302168690,4081353615,3956237608,2510514819,7841034369,5070301182,3808542605,1382553168,4740253029,569184114,1329953304,2134001904,794914639,7681870176,5171010648,4277679469,2305901829,5355320778,1968311884,790823142,5077519794,613313724,658176136,822502210,75296318,2155689200,2132246430,8843135148,956143840,156708738,7701185048,2244791727,713241708,1567304760,2919524730,1711197264,628038171,991610648,3782577068,4565948114,1926482385,2892876162,727308300,1239586122,2409033056,57422007,1871939424,2009789390,8776461,6755675392,5968742373,193451592,3426667508,4791237228,303024676,1349330012,1849806972,2753275264,640217466,2770846580,4633170845,447765663,193644665,1158979482,12197120,109193370,144481463,5832380057,3063066237,629299758,7751489040,1237570125,296278872,5639533704,2894402008,2548080606,5477385852,1330187834,1055340072,246513888,1004747388,744359880,2160194787,6565461291,2616943653,3601812328,2695018050,5502675138,2031599515,1259296820,592117858,10430061,6873898843,1115014446,367069208,224544912,2340457724,5882192351,1034936088,934507750,3542627540,5410465758,3716071688,4723632207,4074385080,1986717736,6553988357,1506354396,1138739488,3647647325,550680328,51806280,722604260,3933788180,2901100237,1226780320,413166546,568129826,737815827,7410850686,1416595760,674844464,1087455432,6368611617,1137211110,1994837106,173463483,2587314762,680092758,5696570982,1216519448,629357237,1342119159,1328162016,294995688,967189509,316662144,1175181700,2550525668,1791883448,2519216788,1091869926,3554152220,5950645299,7491044088,488363212,7587541053,1077895384,1686222592,4655840540,4630860585,4662701050,144369289,3914636373,2949915270,3362949081,8327282040,2828968353,492407510,9579660,2428860051,1833673530,2931231315,2068043526,547059414,323556057,2891360040,6028954248,1381395894,2792159244,914200104,432947118,676946183,572514966,433891064,3449352540,40867234,8827172208,3040557215,5436527049,3750669433,901103042,461522768,1350101816,4922775991,5224448910,7473321328,858052504,592056054,15439472,1840875294,2905188748,1358594615,1843975420,908995656,3908600404,5479175792,416196130,4891244001,417057003,5738739000,1172167034,1647335352,956251002,3583732985,2763705816,15361907,420975728,236199508,2360135172,267015699,1667607495,2137700250,841721960,3824510832,5196957504,1652311280,2595425240,2416504010,6827881886,2179010505,34557267,3135898633,936387318,3427178358,111897816,8431357635,995351440,919374797,1678664754,1098614920,4889262280,2797896378,1624693071,1478483040,2321162768,1588888476,3781294656,927429614,981125798,1165756860,2005632132,144554823,729236877,249212295,3613039248,816011515,544159110,2512445236,2319858564,689104412,1897448124,1943589543,2160853304,3662008245,4282889960,6098564948,257129640,337376157,3953034519,3046089160,2981797020,559656706,2514742956,1392259182,3273574660,1318842232,3290209392,1244055856,6093393624,759043698,8390047518,1597535780,2833440774,165593056,7512251508,724391408,622779475,297175613,1795729664,208161852,2577613216,616709618,527293733,759434920,449084190,702959715,3172513116,5703394734,3604128496,2398034415,7671914442,1049732015,3554768295,3681692634,1035937344,4460297716,2241091251,4686722433,506927644,2346502761,2668076070,4889565531,2166752754,3018560664,7717782753,1418322708,1841673092,1240760454,96703820,1898135973,2272958646,46322120,1216664172,2077018748,22931695,2747744965,4817682114,3241437984,377596632,589488345,4049496468,636080977,3575319020,821471546,80601353,5077606956,86702049,1469805390,4511516215,786694641,8902487763,1942535846,527141172,233724916,5759828874,4638077610,51897690,1099001344,307528769,3793761160,2925221373,154374588,5901064936,641566169,2310690498,4146156492,2023069392,3201827832,4953190992,5610576663,1427423752,1152201834,1100200986,2246197446,1624254159,2646698960,4359840408,3895859836,4977746230,5616110673,549904851,6810696207,2559093496,3505801992,844243974,2559501954,936916582,1220755208,695593856,866780421,3948768820,524644330,1963936299,1060408870,2716746310,5604424096,1926162322,3107769865,2672753838,1282046240,1077101560,5293554534,419108976,4468357410,2099417190,2416386850,5244770862,588350124,844550688,2296562280,4249616976,2463003144,3519191720,2153480580,1702101006,2489477528,5878168226,801917511,302558425,677967479,2755745181,2118764075,1838264517,739065564,168074114,2275080240,7508633202,2443699356,1957956392,819684812,213841425,2731228818,3990920524,5983194492,3958041498,881667384,3749736298,449720024,1142370992,945486592,1398726520,1224709722,1282370166,891910728,3532154542,1740320514,991362776,362324956,1266295158,848807252,2625833266,3636012660,1070288490,585482293,1280190177,1470527495,3298064707,3044763744,3188520420,3091866536,2794250464,757690227,943945436,8933318748,4120766270,3320007432,4072584720,92531979,3188491455,1893605188,386584713,6118239519,1368181510,6147486121,1886350149,1830859528,4559922654,3226959384,756979026,1570096250,74684585,2434978704,4057885218,5984627994,1165396432,763223215,1937572286,2786680200,455388024,4677715495,214877864,3114680580,2722554448,838709730,533038152,3150990738,5004898731,5665778594,723478270,1374196474,3283531796,2220744843,3656864756,5667875586,3535977858,5357767373,6272745336,3175004248,2138236848,3382313640,4927937696,594364125,3420426000,542344905,1786120384,1102464535,1153696188,748602739,626969456,1013749272,2070732496,2411947290,836667460,3145078840,257311306,680017524,794852185,2205585255,875438416,451903376,872780735,8036740494,1549530004,500176032,3483177039,3557226332,113720064,3928328127,2440441014,5780803136,1821708064,2080943848,3078398436,1791299950,1074555108,212678300,781642875,1263874059,2187124730,4856674572,4778865435,2139645240,8900036874,348282966,1064329595,3712405320,3413516346,1774597950,2193352708,1278677685,1798419813,3356920190,124435401,628343443,664763265,5572172568,2631961728,2759626974,1260623096,6793109608,1977838428,1409376145,4508554680,844584447,760594113,4275498,1353110124,2081948975,3291793936,76639538,207011118,6967957122,1948427255,3933322104,169765452,2084574705,506664243,995353803,1350397794,1752944820,77777944,465012909,6923202307,877117465,1425574752,3459859700,1732576494,254952492,4820758860,1413546068,3391927872,154161234,2555929281,693730555,997632073,2475849759,6245269336,2418393336,1546478514,5082650394,3416159355,96463387,2135913080,2558588152,2608160127,5488620214,3964190290,1332045320,2195397264,1173165035,4823042352,1388245668,1748650605,5286487830,2744846531,4700430279,8331626547,2435366682,1500432500,1299035422,5117055162,1242730128,728065780,3793394632,1500445068,3978019168,1074708174,3378506955,2311118957,3509215105,1602769100,4410424908,565760600,966123420,178708956,4695439833,4342247955,1359270598,2486764884,1022637656,1824637504,4977117366,4070069568,4259365875,6566631764,1097304729,1194593490,2440303605,773244270,2658545160,2260097200,531666344,1151239105,836766572,5784146616,3099670721,8561587653,3673113192,909533128,2349275451,346190283,1696681102,2290815412,1515593052,5576788128,1842539706,1540711236,2175793284,2263590597,1076840936,4385125010,789710196,491657988,2470921955,7095269322,411214396,6354824385,600819233,1810116291,736168844,974863117,2470149549,3328558888,3178650260,73764130,420776228,1091214180,3972958976,602902868,2678144950,1199038632,4968697688,166030891,98754712,3445929774,2758589072,461942865,115561908,2325080439,3178390050,2019742084,507100655,459710996,2036730933,440213034,910171243,195446391,960905070,1580827906,702429132,1399039486,391007767,1477765845,427067146,2546036262,6315434992,6772023846,6672513155,717966046,5047024752,520788833,861726327,3830192514,3918122964,2553067030,6485351094,620643192,7652667792,2470506800,2637391169,554207238,163652832,3366465176,1918406452,890579806,1382268939,1953836292,1820623651,3766958955,6481646920,607458122,204153183,368362575,45098592,1031845998,494513457,814905360,4398795704,860591915,8865528831,6582882807,3381314020,649316358,655696606,2580746275,800681542,5132001978,712850509,2804995756,3742250298,164542484,7512221943,4425236606,2466114070,3938429336,721974127,170259596,1403445152,3996576171,2331345633,1343188482,887882589,1139701689,2998422198,2374017020,2816910675,851725742,3657506841,4478698135,1767020920,1111937688,402943003,142008340,2245626942,7929542313,3069469260,2849118048,1526270787,2660792454,5714069370,108887382,2843272824,3643831708,6788082945,5809647280,4955184129,2665387180,865149077,314588759,7641018480,3375634710,4246092886,788616806,818860085,4314650016,6909448007,1172671768,5734897080,4740417054,1811539584,303405789,2234505192,1935680968,575184376,3396259755,4699446507,2368659188,5335303470,4370797476,793593575,7682758296,5485854521,795778956,1601281206,3794236600,5755960296,422538508,339124476,6594290832,710361118,405967206,1440090640,1337837409,1976893164,915146424,146772102,1687359500,6542406765,3389968984,2629672346,889679198,3871156072,1193879455,8113897143,329248983,749572140,3026959184,936144445,4329991776,273400073,3978130110,1330244165,2335007240,1967978470,4558714804,2780725251,1906919832,491933212,368663625,3074974614,3680008132,1966432790,3980488476,2102636963,3408062815,53680124,2991617991,973350042,1448179746,2029396484,3703170936,2958262104,7812956456,724200162,3883045184,3622872100,175750878,7947515024,3203666828,338749246,653522364,1062973941,5924054295,956974312,1592873364,4125336786,5774143344,3816608103,1283946735,1860962562,4900941385,1567531839,2960395280,590834706,1373092730,4334677389,883419320,551597286,6004777592,1188258372,3680758774,8295392529,7437429279,2806008084,199979070,158439278,1612209872,7476321576,2229867128,8312372784,1777577814,30759144,889237422,5042680594,1166041611,693314382,3127753422,887438044,2808548481,2859101466,1839135768,8586437337,637011104,1776009348,4037280121,566511840,3851174624,1468447770,1554388596,116736812,2131539222,3090610116,640247195,1988125292,491498704,565020840,592773323,1267745144,151213079,2559737220,3237995088,590595633,384842816,98072596,1025957508,947950559,4376223410,2539802436,1264804534,5597469456,5492552989,1644913340,6521581227,1305913824,2457382404,433099191,2633065844,1888649496,1772466944,777718216,1709160656,139402904,176619870,1414305672,7963211124,63897048,238798725,246809907,3478378778,2744770986,1460242815,6753256456,846505641,746025558,6179046016,885900867,6824656704,1318793370,953810444,2563283395,866951921,859462794,969502742,248419962,847406388,884668746,1747574619,616985649,4998651448,5893933600,318379246,1256013676,1310349646,6715729665,1448592266,72771858,7570197918,2036210040,5508138860,64141815,4223311728,988029482,18142346,6643243386,4639863136,5175713736,6078585978,2807340808,156066985,4304227656,4426189516,1223835556,1472959995,1519819520,6165723240,3934602279,687712618,1354947897,2067500836,3293761696,1537715360,5697586888,8813744829,719815152,5851882764,5241779976,1565116176,884873036,1457865879,1168740891,468561635,2227711580,574345663,3991393895,918399188,3348849905,4734847691,5443818498,1054183038,3063013260,1509039012,2754871220,4766251310,4918699650,1525416264,1740010728,6768764100,2022860454,3145041828,2549368405,1219180872,6638686488,3146471064,1500274980,398102301,5831491323,1848476042,2178654792,519795231,2244594114,3919739364,192073724,514698480,781094266,1707097518,2777990826,4054913670,815717108,451318572,2680166793,4918716048,2578259937,2832928644,3029892624,234910586,1157744206,218510184,3094776276,1395684836,475342264,1722310464,6773720517,7186547016,2731182192,2709573535,1044285624,4464854898,1620031325,1432670334,3095729665,4992412740,609155122,1148377972,228040386,279406842,1663710980,6328676984,2750273514,1842301385,2529998950,425337500,2088335679,1942962520,2972818464,1845124296,1109147348,6624056304,4895143638,3289416179,869343900,6398435616,4780561905,1631913016,1464673462,126210444,5663471202,1335252575,1821731092,2378106855,8422561899,77178512,1009827345,3980919180,6737427000,685444938,142472322,4783880460,2232299586,13283212,522100565,1977009060,5843661320,2905200156,496205230,4357264065,7935631731,2778017580,5696965428,2184156415,41073660,320942616,6690390075,60183364,606958498,5423829176,6296279808,6512035968,977340319,2100187794,325996281,2160953256,197239528,6882660638,440738856,3925797858,7155885,1063608865,2945172660,3835655152,3171280008,567214026,3501526244,317069615,339902932,3769480476,2972749824,52904934,3705349865,6432433861,4914715235,755206563,602515639,3812818608,2262293280,1448144802,1321264885,2145850260,813294456,1640169160,1699440134,7802508834,168904536,2667778686,2864335074,139515789,1933684226,1692939402,6131594245,4014720392,6684578936,1623336606,258203942,998934582,4772207004,9655902,405780408,1509198544,4819238238,3299979843,429102753,120911432,7389910269,215139967,2378969804,5842820788,6849801980,1174580700,956425386,4570947848,1484829276,340973298,4349509955,1975360005,1246813174,2642649273,2531540056,3348696888,790381449,1091529300,3550154280,773258286,6089169552,57248156,1079970348,364745766,4887337800,4458059725,949173172,3791920964,380237009,1070686928,1357294992,2248199716,136792432,7955671968,2279466680,832994152,498873500,3993844992,5416020582,3252929472,2072308680,3833063356,5045162288,3816725796,4546620547,3893234274,2735118500,656990667,1846648800,1859668024,965972000,5931780012,245106886,179276802,898816989,3073473494,7023259432,636545367,1396839305,2381454150,567870247,616207707,266637940,1239213138,3308099415,1424439328,2024185839,4909222971,2864642394,6437261026,5274762689,3736200780,1046598632,894202803,951078872,1363871031,7068401416,4272977922,3313355292,4865986576,2004072384,7265627536,2327090292,1642517776,6376632498,4394692215,66236443,3741713238,675244066,2957104344,3009368592,1161668278,174980409,5805785440,3269210760,66813696,3067064244,2311691022,1270855432,4291391133,5399804814,1278900360,3410729440,3538761759,587865815,1935894375,331141462,2624123456,4451575235,6349674933,5485731984,3291042741,1662874608,543906420,4062557860,3386717735,271588143,2034506468,759294102,519424916,846007255,773240760,500832780,2374921784,1023306327,3164783968,3536165610,4160780392,3018047130,1209635064,3074160618,643665753,1395155712,2617376860,1687411816,89201277,521387947,1916857612,2284822287,3423802064,2132113305,987696540,2713124313,5466134336,5176848054,3174691722,847444581,146009712,3029840793,6590867367,958204216,4088882192,1112208822,2416151340,4550063346,588992076,3104224152,682930519,6115776776,1405837720,1527750105,3064350120,862163922,5477583696,796215388,1200029352,530365926,1142439340,221606223,4484130776,4981657566,6945630168,7852093664,1975988708,280322272,4852815270,7249100202,967213485,491611272,460681320,6968551359,662321238,2331712275,472254127,470918324,2595253324,1802426850,3015169362,966134608,1097611770,216264789,7246357200,2820052858,2846987640,95723326,4676581890,3259394136,1529869455,1350774132,361159326,4899158874,4964873578,1470020148,3913650420,1675491045,1402039338,494194584,2717096082,251510300,707358254,968958588,3466607864,1211594670,6687651440,4560277330,86802180,4545310088,2083745106,950206580,4606593102,1614640578,29099281,4765611483,561905725,5931992022,5332352384,1372718886,5668929744,1654376988,5692924704,3583265400,7825593699,541659730,5373005246,1761230799,604834744,5317471024,462620808,2389637636,1876087836,3693462928,580564241,444945864,337913334,3067219400,282059757,5955952908,1874887912,147640072,2675644731,1162393940,1995420525,641200581,239943304,2820987297,3421130258,6891201900,4113598300,1025150976,2129141724,3625749072,2262643400,149667215,5522355657,861232972,4567324622,815081625,934563114,310323445,383702364,5305646472,597349922,1585364856,6778409688,817323568,3837482908,4369459920,738816696,2490616755,3596554784,347495506,460487484,582969120,5291449008,388209890,131365564,328684049,5381736162,973501700,1391705065,561344902,1798141977,2912014686,2725852200,866298488,8753101515,2094350904,3682760872,55172478,4305793758,2771038048,1705008220,7215263172,5524258473,3203398045,1999949788,1956370530,858779790,527644338,5899234747,81115587,586170056,2867793297,1347376248,765246525,1752274575,4988602935,493107582,6851837986,582599456,448350407,377339118,700994420,1159866211,48927321,1209783700,6933454974,736653483,897704865,7050173166,4533335550,3453460780,2290094229,2311108165,696007312,595545206,419865634,2303118513,2347317568,1804401178,504979287,1322478816,242539371,4268580615,3031385530,1152251568,1657657740,1882557040,573566632,1189348728,2302297364,784669128,1218149954,399092346,2387329250,32304201,7133892144,2751493515,1716438848,3171077872,735346652,3394454436,867661836,4109530077,7540383798,4489810134,2903652184,2523423742,4104566805,3894662888,2268120912,805271238,960387243,3767699176,5436168264,1670259856,2792884484,519666566,369024957,4261492164,8526750678,4812722184,2857874570,942738765,2671453062,2128148185,868923549,4146979270,2068933419,4633844238,93469978,4549377519,944927137,4504192045,3638449272,6767701031,4209432024,1699449062,190401648,2800762473,2241816605,637811961,72934748,3493753820,628190895,2513755832,1318490299,4155517960,6641042814,493902341,82623145,1651692177,1710979520,1917121260,2137269558,2163440376,670300893,983644238,1880064832,3272610924,2135377629,86599415,23165912,5488946700,3461192022,463336053,207701056,1701414336,1527328917,7473840744,3325897539,5046575706,505364427,4529047932,1714146656,384571756,3027601164,1182959764,2879929254,330482649,6838134948,1108875210,2847153123,479103422,8260716438,8503614765,1872071800,1000520920,5104557128,1811840740,4823892850,4348951674,7991093128,2848017641,1659977604,747968994,697370400,739988933,1704398724,8469750060,1118954784,854414820,3023888400,733381607,272098064,630955028,1691979921,2344570623,1116973017,3109410985,1364541669,3809466872,3281743824,1070118152,4669888936,14699709,7269462752,1894360140,5607779796,601891520,5149649106,252759573,260137449,87792880,4141206927,363628815,717326037,1660788376,3714567138,1683524880,5019920496,3966470008,4435464096,624697527,357273414,5576783895,375976206,1890432274,1495675438,2006997688,2486780358,4649509942,3803235633,7621107741,5410472249,1418750655,468239328,2890222268,1694725112,999110500,2894269956,8886751272,5706497898,245804764,4275023904,1944382510,2179460640,541371720,452597990,6316051240,6537824757,3961262856,2512161642,4332776652,386574538,731826230,760389160,3652011668,2497451992,3531840576,2994583324,4327755828,4314057309,977809470,19138992,953227198,447157754,913048100,6661164006,3920638824,1621028688,1076964721,2382622743,1821148694,645523200,1904279742,42058095,291470868,336033894,352402662,1533115436,508961502,467533412,572451450,1911992510,4415980392,3097456374,2564218825,52977254,720740450,5406359056,2397542288,170710141,808692372,4956451908,196435878,907712757,1856046332,840578536,1781230398,2072242936,1938912472,1603115800,771965680,6978394108,922079488,3550709220,400205142,3184416423,3698701290,715253019,1753746141,1290410235,2396093720,404953461,36249070,243505698,1421930520,852135909,4470099650,3122371566,2024510545,1484321629,4898459405,6531947271,8941809546,451855329,213134336,1706119695,731860544,3739034892,5672936364,622802394,2370905816,834991190,666497800,2708727820,843933579,742427405,60135478,3231483440,1326870255,2510944535,1745495560,1310987096,5525335600,3979035228,7602444632,2311374728,1886536530,232851720,6229899263,3092151978,6064534344,2920229155,367451992,7330649904,585822108,135649590,641384334,114081288,505245658,3955481616,3751651746,738679862,739939610,1736536020,964448856,1662381228,2855961936,8413834725,3236514080,3481544466,472006135,4312874398,1356951470,1339234865,3507176212,214919831,7886110509,7759759518,1724609847,2347683532,3183843472,3161710120,77256134,713578932,4053474040,6503231097,1640212581,782470125,2433596045,2359263930,3287695344,3352570524,483335221,3864754593,5887067592,1569734766,1167280656,1701205956,714012460,472456392,719456814,6379552720,261707453,1784738504,1976326506,1561231296,944811508,455108832,206652454,831415993,1473810360,954256216,1776049892,1946399348,2641170515,2414684016,3097187676,1627536164,5560699896,569502809,3885263635,2086638468,1469278618,2164509160,73676218,1313391978,1002199576,486056596,2034754864,1612677804,603259863,1335374370,1185631410,7837474464,202383198,3176538356,562497629,3710149548,2800944153,4713769130,1048763704,4121201420,1346645124,4951748568,4789255910,6386065920,2237434630,2378606571,1729536294,3563992710,619416112,1485009617,216319272,3808782180,1018140542,6090732960,3140459850,1472116116,3346452528,3298773936,1271441878,717053679,1106448500,3050441964,5959311784,4393361112,1096067048,2397274689,1506985132,897951616,201678560,1824861706,4461137648,788055981,3045685635,6987264830,258435951,918535552,1515050194,6512911776,1498090510,1188345982,2065222950,1457157226,4052336208,2791277268,1301063943,2463763810,858134448,6574608600,3258636204,689071047,659441431,113738360,2616665480,793516692,3757999210,605506506,149343250,2656606776,8865143964,97647256,902065168,5196282992,252204583,1362643336,2319798257,49406561,1263218676,2479765856,1356615610,680390985,521076606,1128713715,3531125622,307893595,2705416240,675163026,1006200596,6382010187,5985268488,5500924912,2717512240,86173501,573593261,5250338317,268948584,7610505516,1916350572,1498063530,769367190,3280560642,6840646240,4303173119,4773705512,274970425,5611599042,1754014662,1971644688,3132218495,347454432,5191400406,4661783567,4519921065,5443208088,1411754932,1345378534,2506236633,3231615784,5204085174,5357123784,687465728,1164391060,95551614,3267613872,882929583,1250608989,2776051075,67366806,455844178,3645038468,437459824,40842416,5893667392,2171370196,777862442,3854634237,2278529304,4401292368,2159419890,314076505,5745347088,3308692986,1965015744,14068124,1112780998,5190359118,1891631584,1155639564,106001796,71456570,782270496,2779272580,762809340,1057458219,240229910,833531874,636107874,2670908648,824814795,6664554659,2335967592,4445844175,239543209,692589988,3760882180,2900293176,4530442776,1416875831,5125438808,1678975220,2406762954,6389131041,42801612,5046603372,1136725730,1996030680,782158604,99325295,4536191660,4340706850,3705042672,3809619656,2392713328,4279279081,636458228,2237155158,6051651760,1187109225,3875472696,4491461690,3187490406,1530739245,2791021752,4654517210,6118959105,2336575011,1288544226,1510852325,3257358090,6665956443,258277466,2054352500,234444489,5399538840,1343743024,355110579,546950072,531142092,8565502041,2969266683,175477170,739334084,3134793276,402489150,2533969880,5946354072,6877976742,806161734,1210381160,3557883684,829438808,2909124912,2295157415,1759333280,1913254968,5691194658,2459816770,958809634,4150686414,1261863085,1392567036,4198995606,7298408088,3901362395,1679212467,5911528432,325479273,373608975,1709650551,5001155552,3548021056,2382692990,1737928970,142932574,4305506664,1980801544,452214850,6153103054,2369226840,1356341112,2829664566,2598986013,1913769112,2726604738,1464341268,1996144580,3834828528,5395130634,599165126,6357758260,430671770,7060172481,812043360,925405980,2770948540,5533559757,98623911,3817723131,3314558928,3439998570,2104698152,612111624,435190161,1834942168,941966556,2277408890,1375842048,4820693556,856914046,3867587676,6860922117,1950726878,4625719875,410564700,842694536,559540836,3806539626,621439434,4480654734,5247873828,210525203,288168360,80960012,6158151335,4814477556,58783884,4432802416,1647728150,937923784,1785078444,214000395,2562566583,1918997658,1045565360,1059327440,4667024360,3833814368,3919250240,665059482,6381018147,8255679714,1792126184,4379346815,3538326168,7540639263,1872332850,313682812,4074863265,4138498136,1305622296,114061296,410609840,6026812728,3417953898,3101938252,3591397496,2671481656,333501630,1545423576,245487312,75729900,1711832685,3485139804,3950739045,6261123825,3442649400,987188702,4185311711,3952569780,1576868216,2069847423,1361967220,415312736,6487393220,1302794848,4771640514,71381961,6191782101,5109222312,4943184650,1520942990,1070110114,886514485,2355040035,5393643291,1736500552,1456600208,517086360,767451362,3865975569,1227924484,3086374182,4946185212,3882288361,880612756,2183051549,1380865944,2623226022,6414793920,1701595602,209357550,480568484,926885742,623907383,1635017450,4282745580,2321294094,1849095177,1073207094,185042652,2988472664,848079905,2677445743,2355399487,235770540,305294706,1423625608,1843794408,1317815120,6906797514,3174919900,988846150,4171752030,4382664975,5590062,72670234,6133947239,165353784,3877054580,2831287256,168076624,613412503,3578262096,1905850516,4855489820,3992376216,1010327400,895912557,234389070,2391006198,1661236311,4447678473,2721872348,1242942144,3053876706,1897174298,7074723544,3409449624,1726039240,1899740508,227109948,2022859770,232563381,2812853800,1266546816,2968061709,712605480,3871900116,410761054,2215463904,3963589244,312504741,1874974410,807378762,3149496144,6276845312,3368800355,63300942,6376584411,5884589376,4173431355,5536115522,536312864,829151282,402549704,975981224,4998300072,4156430405,5698922537,3474999120,3663938040,959991186,4457583504,4378772250,1541864538,742030782,127145371,398772885,2763917367,868363764,4960490550,2968542102,247877666,2758686650,1335198530,67890268,4090882635,4253108985,2393060394,3161993256,67931749,802041724,175619539,3687873288,3900921564,1112445076,1906493388,7008429960,5850579048,3252857485,741416661,824392691,2582247825,6414751868,446335984,753535170,1684102210,4158776097,1812587292,765889582,6383463399,3294598316,757550748,2427310737,7315160424,3268949704,5900254749,1534249032,1339997196,2725245336,2762565744,2373289450,2761379307,1824928065,4088593796,1918250619,2852599329,2419053608,4272678184,464845408,5737886772,338566456,4874632497,7256359824,407708081,253736550,3485726951,655798134,4569758536,1271357020,1601134972,839782275,278012750,710440695,4009567120,326070532,3745324786,124967898,236492328,1898329188,141431815,2191822929,7216762806,2044535332,4821114510,2684032836,257532762,2690016036,2708922160,954841956,3742020612,3296111776,298992252,844411232,3786872930,3851037940,1929303882,125655072,673835052,7440720336,7199295939,192049727,3061683176,1832510388,14396931,1088334988,5859472992,2005753932,428110605,2849829933,2967922644,1511917680,6056577784,6302587389,579590886,992856442,954528098,966868581,2648307896,4336850392,2346734855,1474058286,2622431352,2369895726,393774905,240729656,765381090,917817036,1699318864,1874007600,5628764384,4046660418,1653638142,214409430,652639763,6991996151,4393708485,596822115,1539537818,2684082933,485298523,46213544,746329218,2612148932,3656870968,1617459170,1487939097,328833026,1104491331,5060408264,463531548,2976142533,3594469086,609432078,6957832672,4128108055,1023958138,988296893,1825498842,1093608536,8923878513,2952307533,1981646358,1332282938,2280813306,1296945036,2767881440,4969781792,641647998,1683557708,1720806237,5350788396,4018710234,7574580984,1295210703,3653199896,2540147232,2810972140,395471492,7822932272,2464938348,6045823861,344543904,6073073800,662566596,1670329074,400729462,934084464,4506873570,1002734730,90308964,319390616,4596441245,3391574132,436831560,6996925386,907668726,1865895714,2274103518,266130539,2864069295,162219330,1634125200,306876705,533853336,5651746992,1503185256,2718130629,2527131102,744894383,123986119,300590694,2547707244,976785999,756127720,1415837529,460267792,3798961572,68344755,2199318415,5176629114,917058538,1369798356,553836675,1460255224,409159098,5022201372,303013454,2808342939,3730888525,3545683160,5158594737,7099282377,6693801096,6335312298,894310680,1908308464,6529125932,84344643,1619404384,4357880443,525877722,863481088,8798685147,885269325,6452147040,5431465773,531723107,88533729,1221122698,5598337059,2839876592,941567538,14524050,233650672,3179958402,1612341618,441153613,1444536764,1993853008,4194210912,2769766480,2194115185,726535692,3162651840,4910740920,326763846,2083248146,621995538,8347301559,1576923284,1557829040,2529029364,4969718560,587084037,5989388196,2146859910,406777800,4411494642,2350361216,1369371440,639007482,7615298032,2176964560,7990678485,266005700,1133874592,1850645382,1515140529,120620356,1634240628,3697011964,2499414624,2166863955,1173713782,3220870224,6845098561,1565235038,4555964840,812217993,76836002,5654044504,504325069,238860272,2820497889,1817497126,3405622005,67688880,3994148312,43849716,5352121452,2950870980,803717740,5311894032,3131360645,3485246140,4822108704,772074651,2145206378,5884788276,285064150,1508529205,8528641524,4061275370,798158588,1445502824,3174981000,6988668421,5862678168,4015618857,216511852,2901118524,7289708103,3760330224,1822368960,3517940910,3728246430,830446406,122478808,4694017380,458431898,1405398208,264087627,2494451141,6678261450,5601212478,74697658,75019334,3303710188,3058672602,2263071616,1737034800,2287778432,1367686456,3382645122,1266029790,2809607736,4743683130,377267764,699395511,3672762672,1034520220,5841597132,2943719700,3626319072,7793943948,6195563255,4581244025,1059811695,1735001494,6341800656,6173667276,115849438,2768137032,478669146,1005345062,361298412,5920001591,6611515337,5893499928,4311770856,5699118714,4882325119,2700595544,1239654160,2852094300,4746018070,318935020,4348163,654757740,2580433344,6580306944,1411941155,655623336,2579953085,290529295,2090281424,291380919,2596736144,8369355411,1421228964,990207783,5133897979,4621424339,1420568088,1409549264,544914858,1892634121,5030525776,1647184766,264794448,1969648533,3250096356,2144255526,442975944,2736614385,1606550812,2463602498,7154247784,369673452,1972864988,708326556,1415183142,2418570921,8223518430,4592128182,533592477,2487461148,2850756234,1487864898,8437670478,325870006,4280353749,3999425705,5169399560,2277646792,191252400,1795013815,3080522560,6829613693,448085780,8988186888,6458863356,2747657122,3948775670,726934290,7161688688,857627557,48785580,3919246280,4050452232,1409176316,609220036,991464105,989989164,2204753832,2361924270,3538762912,696364100,1668893012,1543513555,1487208090,178512096,3400275744,419990505,164967260,1228319120,369885600,4573123425,46634455,7964736920,3566992652,907988418,2692186040,4726923492,1816972515,2277756677,7728103240,1919864772,3123068535,587523392,4301364792,3999850104,629284668,6789786,4626356728,2447515434,3653932835,2393556112,3214020520,1680284130,2060098264,3413705256,679566057,1454492964,2451319788,2736573896,2314409256,4113999335,2375166384,3470350959,2020582497,539667675,4650176970,1221529410,1656367440,976534448,3235084488,1066354576,1777766844,3475661844,4704134013,5224785352,5732318744,26884130,3591679240,2310214926,304847028,700000224,358120506,2205753032,1666980240,5311542201,1546660882,94775593,3134164910,979167419,6339814754,4556047315,740457632,1551712535,5095452856,3290369526,397048210,482426769,2218413134,2768138292,342852788,4530937880,4768276668,2578016792,514816680,2345467698,1632615306,3713907120,3865182867,1499795112,5028721584,2863829520,240788834,302804541,993842241,2327902368,952894884,4038132300,6315602125,1412097305,4965688025,591200216,1562743428,851863564,1345941894,4134852820,4934169792,887247196,426072213,107638395,722225335,4661619459,1649071514,8143158528,284137875,4608837468,858242151,1393577836,381686028,60836784,7394518960,2683621836,1484280477,4845510270,3488803640,1113769800,1438196418,5646414123,2581089279,4546959930,4682130312,342311494,1303140462,2874437900,4479518025,590113988,5627531988,6868929177,1578340554,3454234567,4507050627,7380188,4133491464,1308165368,1627349955,2147522980,131787416,7510499352,827895987,433200789,6483886031,365050355,4829352544,3374685635,456125805,3874317060,451698144,7268834688,3034545645,6912862136,2181055164,8552385090,577097277,121347385,491441241,3540556208,1148358342,1454303745,3113843376,1149889263,4724940060,1048264844,824026540,1381589292,3066550268,3202859935,1892138798,557658815,2116858136,7442703056,1220255894,2849305680,3174799116,3710617182,1733801349,3471081236,829476217,6022954928,1269737060,1184586504,1082882855,2802619995,123681224,3466507616,172665462,290923535,3618512325,861401249,5574420261,111800811,999945974,1846055358,1629336602,197887359,1766894448,6809918272,891938572,1175879466,4610861912,2145305168,2700079824,369873180,305519259,1137129411,969425842,1240701864,239341128,762932384,3435552016,7116649856,298256314,265737457,1885865760,1278821478,439347258,1741438992,1083507552,5064545045,239641168,609852370,2759012528,2712638268,2644817128,955597570,3042859401,2319582272,1847118572,2108034928,1207876902,5541295671,2318009256,257103794,1702485006,6241822240,5636897766,4508880006,4853764566,194738761,949189416,5950364168,1910945376,2058514690,2586784233,680134376,515347104,47210754,1863488403,978928668,5052817296,7162219566,4391437424,4147904856,5857840332,8210792601,6166699532,2113144228,2092986012,3305150365,421671625,3085482736,5839014534,186926496,7075363632,88844076,507172067,962837208,1663858680,4114064805,228093003,8892270783,1168021920,3318110080,575155089,1867406337,3192385248,2109080409,755164492,4526854262,1771485552,3368953800,7710363624,335025496,3851567908,1266226682,2372413315,1806274383,3247854945,601505421,468563659,2321752326,454661925,987429583,650072534,2691833160,2566189851,344069076,1138416748,1765734340,138778146,3018933702,186023483,818611488,174176940,5429416258,2855758476,3490115088,7794337275,16445046,659939948,3000504200,744008434,515828034,755590366,1006735140,1796219169,288854066,2584848792,1112800152,2407635224,3704677256,392571074,897733605,3345070910,401457180,2103823509,650147550,2974303780,309351584,7582323384,1485260184,2406080640,3252677820,2186279522,421950366,1216505452,1870891220,1839627083,4977157158,558340558,752643345,5317722684,2392504674,308685259,2932052536,6918220760,158318935,3463041468,5526576882,3406822242,727366480,448326929,1614697300,195297252,1029654760,846402696,8676675009,4116255804,755198444,1025715348,515005149,1395902282,3463387584,550029044,5660071980,595703181,232373388,3603561800,2023752104,7457532872,552127097,4436109875,1762213068,2394988986,4434517936,3259074798,2997795200,1168934438,513973215,5933035206,2576644179,772756476,7878842208,1083526218,617838714,3309057605,1563840039,230232545,5280476967,2904767811,2528041912,4606477641,992832472,224515170,700240373,3041868590,5924820648,1540021200,1398907905,733746825,1693816530,304242150,4792000698,3873993992,1153921050,816865199,2102844642,2028208260,1111699032,1281616608,1428394143,211048547,5390333214,2022435608,3804763796,6699145995,3687024996,1072483480,698604056,8411747931,4400869800,6531376496,1276572030,2136283513,939934868,4675341024,2629063528,3166878357,5591616084,4194813123,1645758665,1506360345,1426504312,1948649824,325319687,806215611,3642859604,1944823676,853574537,6241346083,4768356714,6224342552,5651489912,999893088,670827634,5676447438,6999763815,135008004,5175750568,4588298811,870311802,1188862878,1794782784,966003791,2001750772,2125387256,18190050,1210328625,5451647526,7347843018,722112111,4458112337,3556029951,4983562785,2743836768,7054209963,1223544040,1892063331,736335260,430735198,4625938895,4452729936,878627332,846813382,7920214407,3631055196,931320426,249014250,1323133992,1696386048,2078313168,7395675448,841266825,1058386768,4553773482,6985352088,4938509898,6859565867,703310958,3881392392,478165761,1440991454,5301489176,6571836477,1242437384,562606142,3643931305,367104141,1500121892,5977064358,6034084752,764784496,4616934309,459371687,1478364968,115008355,5114234568,3865770128,1568370744,1439846968,612410792,236117682,358170078,2541603030,280511392,2048586210,2287084160,4450983560,972873744,2671212066,1147729742,4742805390,8545787019,4107845376,2541355255,3442786354,404215464,2046739751,581925750,87196959,2840427159,5976076530,4779248230,1004992705,468662168,1450606724,1902656602,5556254118,3378517368,347643881,3547518865,2351466999,2916884016,2414655536,7372240776,915122880,1358269410,4702400384,200575675,2528497728,2659234053,1193283378,143466054,6916976478,3035070969,5974855572,2190634053,1693541214,1828614610,3590439412,5663796271,204117734,3252275152,1200955194,2556346788,112674196,1274407545,627353754,3552751240,2013474447,2067214264,3316274180,8623083618,2954386940,6668697833,4718215502,2387818272,176786426,6564121711,5779385885,1708184891,81970136,507207552,424976568,3387529940,1783488812,538734014,4961268011,2987674785,487012379,459582126,1107229108,2426677059,671870732,126984757,758162420,5672747484,2158417725,1917190476,4586179704,3453312888,5123706564,1536537972,2343685990,2637369981,1071263336,1814152668,6039919599,5897810106,4493689015,1729738908,1958747130,2609200278,3130775244,1306354273,179948599,1095154928,2297732563,1368882046,110146832,1073219330,1646055621,1688060190,1797388396,2699976726,3451539762,4581661480,828763286,2847408844,7364300193,3977295000,2235240828,91453988,615610004,3041225788,3685319976,5917472472,179577062,7708389512,1994881651,1073131410,1341645132,5763164034,4714034010,1472641560,172238772,5092710042,7082567865,1884719858,3364318530,704332000,5980440448,1834305902,558619624,6074846085,247226575,948984926,1672726140,6710471181,7901690456,473206161,2503802487,599192091,1040676744,4571572864,3180600150,2524444594,6516799653,2740423432,6520693774,2331268015,220563614,8139319407,712982738,1017371754,69540672,520866149,3568351572,7457211584,465571606,1252206716,1356721064,3933593526,1951792350,2837088702,4853780127,1720179294,244818144,8834826447,2534123264,1124292078,3138501604,775083428,7316164980,1327699785,999890596,3848675719,2072516957,2900789970,3868672500,1808776440,942926542,65512780,185047407,801640340,7248503808,1353903692,2299016900,5825974368,1577092455,3850694406,2447897508,298025226,638404095,7195138288,4492000269,369120282,2855133449,1423355632,3192241218,5108931960,3043665164,179135852,1373299392,388523889,3521485988,6715422963,7190042192,948400072,433594996,3584314640,2607192852,4101991272,1920747474,103391449,1072155822,98866035,4985431420,1444367880,3346790470,722900654,6973815609,438600234,5802140853,4256148498,3196309205,3565813104,907346125,231344920,4831005232,1011212280,1547129337,725197133,1761978043,4140138537,4186871130,1621182504,3381220638,1188514276,762780432,7206425613,7590005064,2021375763,1687836279,2702144193,2887682825,3876672385,4466443824,7019441487,1648063146,8871397461,6971199048,1741360635,930933034,8684099766,6702406053,1394577384,747258603,3352256955,3985247432,301831788,986550092,1562232532,2126132694,5287136247,652845942,704868568,5161728360,7549845696,3314576032,383851439,527537185,4623518035,2861573178,2011246890,1503199968,398881906,4100185900,226423489,548849900,1801465880,22531827,2468019255,166545456,4136307507,511743352,829416194,2280327580,639550848,2749788552,726983127,1710851850,5744597968,1813257800,609993312,6689336625,1025646923,3415790628,3437480544,2709650412,5014407168,2883790860,1084729974,114222345,3809993736,4210985015,1256482608,586811976,1339318800,265106616,3631870568,3521058920,2605088064,2461122069,936682920,2164769352,1925290496,8496513855,1661045140,465058960,1068350972,427538925,500722821,472043640,4382538225,538309208,4026762064,3418854600,3090013708,2784033480,1970870510,1338253136,191502020,2899858960,8691313005,1872256728,3968573382,325038102,243419741,338950250,4183261568,2426736895,154215124,3360650650,1019027766,834601140,4914578980,1729611216,202044542,871075844,5038641774,1267838440,3985139658,3590722512,3107828466,6596311113,900427575,565783844,1371132840,2595235032,7521471520,2437490952,1811711488,1771648796,1967801114,2061507679,1867923528,853458192,986930458,2412735657,778876140,2026668395,5747543592,37883700,3075286788,107034755,1234299471,2039590245,1497336448,2091009636,575866430,2369228560,2481589836,492854170,918245175,870779056,1258659507,28913574,4345033938,1207665855,1440095765,3797472320,1287056650,786395794,2853501730,6396638479,1803330100,2143765540,2479909880,3466297899,1735840803,1003566110,1993950936,1988154670,826677188,5368431276,6778008045,1663867776,5323554675,2362667940,3222898480,746602880,4537438045,1683389435,2494459832,4783795,28978243,6611880861,135805076,1255921615,3783761252,2237228127,686972802,1419991298,4679160056,3522990552,4552294248,2878692943,2325296880,4336876905,2051036452,4526529396,3249142945,1355331228,3648398280,2991766983,659162259,1516065240,1384877768,7492265848,155696059,2510342037,313186419,1528781177,433041855,577081330,31228560,1727694597,3426185144,577771353,5038383024,31673845,2301673038,2296952295,7631704872,2455700442,2282457975,2539712816,892918395,840218364,456876917,3936667704,1390818976,487993086,266946638,2558020031,478260725,887170322,3847390956,101834226,1573726002,5839642926,258397377,539593950,6360267006,2963875652,880078288,448317372,3521478462,3786373156,616609014,2544525894,1548030740,645864362,5739322812,3791294555,6703119792,4949426762,4697272805,1648719950,688533201,1473263454,3627194072,2913784176,3977602708,4003730055,952447412,698576808,7862429128,852817174,4641478194,2413070688,374122092,3847172260,1355592489,1898588000,1152132424,1717926272,71336190,2210125932,2197649150,3724441794,1132205692,2663767278,2051054559,3197225521,7453571715,3753735955,3189207532,6704385408,1877753180,839324976,4956064569,4592464326,1337425938,5573117208,811516088,1247545116,441513266,2590793307,8313786720,2427744948,6340670376,1755111668,5292018456,99064176,6901967723,589100272,5654778072,1736882370,3511503960,182923881,547046010,1089075278,6084659343,4388432175,5029954950,432334278,4240622628,347582860,2921601063,7285231872,1012983727,5560404232,4145826144,3373894160,4156493550,2146254900,1578260412,83918250,25715830,2704600616,4576701493,3633525024,63766058,678585867,65762164,1585771988,1498861644,2545650770,284085440,1653346545,3043577124,2036921410,4154687360,904192040,2250557316,975433884,1675236364,3140739148,6035897128,6146456582,1970704560,696990119,3550113504,155074168,5823229419,2234012308,1657498388,6831721652,1143399348,7350584508,828576397,2384459643,726102849,648594079,2810172747,78319381,3096046850,3514536270,978996053,2818351986,1941897501,932778438,107954463,859054293,683979688,1872640785,854669375,905061636,607881674,636509883,881905693,1242066681,1394091594,6785821595,3832015672,1534339824,629538684,2969471991,3053067775,101514015,186873445,557420,746768617,240597746,551267313,4452154435,3425072610,2313437037,5225407054,1533900300,3042296772,1226858268,2311959828,1868797316,6269225384,2671882809,654615495,5075269119,419470950,2505369844,1425472775,384169840,250777953,3426528512,3969521397,3285092755,1276123635,805725266,2155854200,2942209482,509404908,535914895,1944657972,54255984,1819037284,7287862632,8409040290,1737517858,3864458016,3012196896,2391028137,746291210,2768245808,5982251769,1641260148,5056920008,145140000,7309564768,2226682173,5631578478,2885265153,4275538240,258932102,4527328536,964666492,8847224442,6347706792,718739026,3581515196,6772617061,1277879896,804119864,4358387223,3659744835,605396812,1437647460,1223241214,1626210999,1537676628,701324258,2785013937,2005443993,6063773520,3812467338,1085784812,5487638536,111729933,827298150,4165132416,1766448252,942851999,1130043744,2720630250,1121172424,2834802159,1157987370,1161710775,2244099824,7398405270,169119448,349876228,3300980608,4514839005,337659513,4751616000,2414138708,3494762415,1129066925,502231590,1054115662,1130034896,1876840796,99444186,312424028,7458851336,5234613066,339890348,4675764483,405204119,1727696976,4670489115,7814650077,4856324326,163235354,1867539260,1734966144,4401692544,265300784,1325205692,1182254038,1675356858,1816636736,1631360700,1524073616,1789715564,1447546384,1938170052,4122864355,192350120,36370035,2506973004,2274187236,2141949704,4578573568,2363674809,828313379,221003404,546750926,5908775936,921698520,7271766729,563539160,2665800172,860233168,992582824,3766689620,528377255,168579581,4479357687,1012270626,4598995032,6899407065,522188527,148862960,8721312786,1800816584,6944151000,4257073356,5045907000,1018888808,976585102,4236617835,2813448168,158761209,2659282608,1618792276,196679256,385355,2343786810,233293449,653794458,4085955840,283517660,695713805,4102851606,1336358688,4507727791,2339676891,3331166790,2955483240,98346529,1867561262,139207491,1274917819,6602727012,2662771758,3386088486,4276274675,916656643,2537721111,6959474512,83359410,1574628300,3522557344,376164445,3849849784,377135360,855003144,5695855389,449832999,1297979476,3851918790,1197932904,1027934640,1860140784,2999450820,5747238252,6684453672,1827130228,7549288928,3251554156,6366101098,3092494668,1195931230,3546361816,2405127255,1373975193,1125725610,2239277080,4341566646,3676114190,5317705548,795890210,3250407265,1120875597,7617604232,886530016,1089365022,1973079744,286644274,2494117130,1620291960,2691804636,5612720202,6597918803,2695742835,5966164816,4416386400,62819444,2916933552,1479742720,7096011056,3100055946,2246136180,607249824,4508985445,1006814529,6350579024,3266821008,593491641,1272939594,122650620,728309554,468193723,3103638678,1222747328,3859628850,1309898583,6227584860,282633598,1625171562,4377917362,3395323055,1380328470,1008515264,4880191608,2717370816,312185408,5003262552,5289015078,1441394880,6664243698,1502984457,5775036342,926492452,2073685856,6283984623,1802444956,1778347992,2286969032,2104532865,2756437026,789097542,7146024471,6112818642,2844256000,1075336060,3116318067,725064087,1099097995,690218920,317352544,420293642,4240301360,589150794,786606833,2315736736,879940718,2163456136,5080011503,2158983675,1913444012,842579301,671578308,3924064416,147637014,1337944468,4926790674,3686988805,7545808712,1296346830,5348500388,855872522,1202029324,3081933752,6529996298,718159804,923426822,8010007416,208511376,2276682003,1996991664,7437958713,272173548,1265615378,6604941252,3520870768,311263505,3407719448,302955264,3157633998,983541693,232674669,1602504645,2562409668,4246040825,4526366328,6357814589,7654970502,1250497324,1451723714,212311190,1679303016,314890934,4979207754,2919786069,719630997,4841468433,1913004742,496988634,1978867881,3697277725,651808265,2746951304,3308694680,53230590,223282059,6212028193,3444453567,3367517200,1058516535,1920387352,87548055,887406895,3656782476,345855405,2011492110,1278164368,6570910056,3031466208,4939130196,2761184565,1571201400,10245465,969245304,3805221186,6746340349,3084585291,1126057336,1609228065,3316880622,504499998,2427832225,970603992,4540692790,872478312,5174578184,206713074,1280017366,1607322106,5519387022,3651184885,3492127605,1833953370,1043631379,381950241,6763834323,2257524135,51591510,1237498071,1072745700,2710038725,6717383582,693147009,2052265374,1431686745,1531024304,315526310,2292700494,346161901,774931619,370731990,5712905429,1086776853,7084927800,2126961350,5276431048,992021517,1602718768,873252107,591585120,5790335076,432091538,2579809047,112241228,1733039872,1093257640,4673401860,6751850714,550205531,1906366992,64959390,1267290316,3328045588,658844814,6642763488,868164283,3313130128,55139091,885713122,4594490046,2601830720,587216472,6201550736,3830252094,198390243,285260183,1547566080,3976435824,1736007540,524749312,2785372632,1813782386,691510740,3030233024,976821123,7007462248,5478179082,2942992750,749490812,4435559784,704130339,519694679,758064999,2026298448,2329398630,1463777108,1933275456,4334967,858062610,475734731,4733667148,497200615,753671796,146251773,3122036559,3982384992,823798005,2661966428,281194232,297469192,5460944742,3869271235,2712516840,135145672,4590705532,94549443,6348881880,1745078940,2175291648,2397814731,6945749091,3829993734,318336113,59377095,2897986840,640554290,88031510,4140457258,115946836,1376807208,951906995,1994222241,3452545185,1990981830,206879071,410752878,2875675516,1534185876,3886598732,1957994924,60869612,857015784,2038779804,502331568,557652904,3802841216,1325952420,1383994616,2978606656,787110785,3223975153,274486642,8716676346,5514141129,1844225632,3417651690,3696348588,1926345388,2454469555,3635604399,5986162614,200264875,4339556990,1017140238,2734730133,4447707222,7364943027,4833740390,1777516918,5873780133,4729290160,5791083831,587864481,2893099595,873108744,607552204,3120193782,1340359965,770536725,491180456,1332365152,1738352103,4373017992,2623630695,855310288,3022898080,6618578162,1429460776,1945760769,1535326530,295666908,834780354,814518920,2225207796,754755474,4883103090,4879448840,4203552465,237041737,2389022928,1395727996,370802128,2034596418,4473285795,523851224,8431159599,5884279872,711338813,1293477182,4318254260,5733454258,1103668920,779144400,2324295834,4694662973,5777033571,2276896030,3502570876,2706300515,2046448355,3177477420,608578428,432284916,230722660,259578920,7617777392,1390958192,1230093176,3215949366,7744310680,1285606096,2387812740,1411997454,764543488,802160603,162480224,981819591,3984137565,3563477225,187690956,1859080816,1005179224,527439088,3314501400,5421522225,12558340,1356562263,597743804,1972695416,307297914,1041164564,3281152743,1994463879,2379157272,487938072,5268312066,2539902684,540380751,619666936,969757376,2288238852,2532520641,2673993000,2571172245,1319685120,1215799800,1703332240,1365647588,4304461869,2128323080,1670704938,42875402,166228616,1725423436,8809609554,7983308984,2715059785,5106059329,201696303,3970148444,1612905,107301790,3075851104,5407787231,2583338790,2141035496,254622906,997592826,49854360,1247694021,226556030,905807638,3962809796,1176724686,264378904,4064112633,1895265888,3791555024,5142318680,2323310832,88373120,201847575,4091494336,4205794875,7444788624,169434411,8875443483,1026701438,638153048,724812117,3559821336,2478001510,2124606988,3564169920,117113511,1848756218,940110936,795705512,3003633520,2440296918,61502312,7257154440,4986997825,57127008,333553352,436158936,6015091360,6177240013,4823510010,80042205,2542313616,1998091575,1664563726,735884418,1775495516,6817350,866967350,870825376,3633121296,790838376,1332332232,208213998,1425616490,834079164,5980248358,5624968668,557305938,5073800784,5539082129,1201618000,1859410053,702134741,3602811954,717414366,3217687660,10562514,1674764345,201897414,3910957470,1418920484,1895710004,120137421,4694342292,1049870634,1524772448,2862858852,2753152605,2983442292,2602251708,1601467972,919090328,5620401339,1899838424,269930171,2379683224,2052274320,6510012299,860153245,1232051408,1951031590,3791430790,3351628428,656634748,126051114,2145988113,614192916,286150104,6314138775,2500240101,8629505235,3468695240,6936022555,313761010,436562665,381329252,8723012670,257293491,4224720310,1440652116,492334348,491930936,2736878004,2210098566,2754989640,4897168304,666439939,761827239,4025670366,403534362,1816909240,1745955940,3528900320,1991652830,4301442830,3334055316,804523944,740839057,2621366865,5983511496,727206744,1091329596,652344076,2620472904,2195083065,31560561,1196656425,2310022485,1763614773,8688856050,4489000090,362252848,717318959,1163185515,3450452615,180207064,1637584488,3635263849,215165560,7974229400,6257060316,839816735,976523224,2522063142,2728214867,1247998536,307433268,3897609968,4903261160,476495685,170514700,3187935476,3899029686,2427937995,1101448548,883654720,876473450,827293471,3841428856,45732777,2509619232,1730211093,220039155,1167355944,3639859476,259046115,650451624,909048720,764753334,2146291308,4023955,336282892,237134570,3988933410,5167538346,343543588,33137306,2631009210,1276133760,1764437164,1990553995,781630402,717858423,6102805914,1066437113,1007113576,3506021208,184153270,4481993240,3617918336,2672425182,3460646644,2834988832,1821801752,3531486174,2159238402,867200577,405264246,801790012,1588905462,5019979601,2527354392,2521528722,351419750,2448398116,473715386,715355776,2060154859,2500416480,2096243464,2406838266,1633421859,1349380700,1838485419,2873421378,603953371,1480414536,4571999154,1466031399,4352845215,5976000632,2853554769,4484271708,3665740968,1208728241,1457468964,5582836152,3707726220,5160149802,965385279,119710374,211467263,4141683060,236760135,4870114674,6096289616,5022477984,4174177184,4680150792,59696240,59377096,225580954,2259156529,1169338707,1284834535,448516110,1847927127,2078842220,2178646458,3233564950,282286704,532087778,208378494,461612622,2963901072,2539454352,4530333031,4450486984,1243437849,364298955,728669074,6798791552,1810348365,999938664,5645642992,185125446,2579905816,5729603229,5794890570,270026188,581427282,924955818,4515171700,2784756609,1590067962,4270888440,2161804104,3229448454,8341994502,8511064884,1171434187,7087214151,3432090816,1442381620,2510117752,5955005370,718978404,2225937930,2451861692,4257758484,3839562860,3312798724,3134991615,2690376360,4377805218,548320126,4340811177,80249202,4829380275,1674460263,714403400,1755621,1462119302,426381554,2154971865,3358101395,2123912268,130885452,765849072,1398948436,2257009398,3536431792,5132031492,5638773504,5456686844,4058123352,794577511,2350853106,411243588,1655802386,3594660798,666041049,3083337420,1924631648,274456008,3027696024,1332595809,101347650,1072134974,3117144830,910484886,1663200585,2841409319,315755142,694733322,971963592,1469036504,4868003245,1756001142,675793575,825434768,163669518,2416642893,2701151310,168290070,853655178,1423252146,1464232077,3443540640,4948133706,3339801388,882950229,1363901260,417982000,6447454677,5165201700,2115250875,2709126880,5330844198,917481700,4831415504,859095629,5726950352,4626981720,5736939733,406405271,1968361968,5949537706,996012610,1809882886,1918179615,412711292,4221424272,478133984,170064459,696053192,4089409092,905510454,134189515,5963910432,538177288,2532126828,196745686,4017319705,238171344,2726789096,4381708163,1248520354,2765998128,230863392,457952415,923037966,444059695,696372640,5257689176,3533346575,2584630576,299356702,2216768915,621446412,2304739488,3763802784,1411041087,452484204,1941386680,5890124814,1997730410,90022035,6026298280,1444437696,184239040,8585850366,1482628276,1428657924,102876975,2892968736,2006649150,1828399478,475017406,3837653712,774612780,3700564970,3373833396,2108731050,759108284,388177341,1430889390,154572440,1667329744,574494100,4138763940,2531757738,4246561221,5809534744,1366527168,2167914536,2676589224,958888170,1945834684,2314259450,44816652,732726231,1993240815,2209650384,8850942162,417311163,2786636970,1183995240,6916861800,542408448,4539875796,511889265,6390669607,1448136011,1238861026,984603000,695744542,1665889566,151432811,2358024432,7748023616,690169881,4783991248,2468635512,3040916334,2045717565,342299990,1351394382,2695902780,4590603647,1954782189,1742488245,1476326895,697203099,596142776,4326299412,1454925018,1884759275,7514152164,5649816744,3704588675,3719831508,3709828256,4839696978,1008196736,1464135015,2488328985,33425934,2034188280,614599233,2970528575,1543137144,4996579434,1313703495,1655803839,1159136650,1157082912,72536328,642500208,2448019278,4606310780,879348868,5299036304,579866364,2094904296,901767852,8515030878,6986682241,2310398820,5428715672,8271753516,4482516174,538830110,4084679745,3747407454,1207168425,4011512771,96839922,1035579216,1701414350,5054776088,421509150,3937719835,3081366785,3631852895,1078154958,1083725577,6771556899,2247037232,2046772908,1517968618,487513128,22963600,1232256868,2448500481,1335404208,1610806071,7986199248,88571058,1678445434,3783049560,1743681214,418011747,1186015898,1500089017,5529025152,1866852714,224799788,7894107423,319708879,2481303396,305871654,1322851016,3457200936,2492399988,754645157,1709683508,1338050280,980968204,850849499,5947606608,831078600,2702696703,38123943,5562497184,2810057112,2184439396,1380593046,1737629850,8348976900,5904656534,334841636,243924225,987899553,575100660,917888401,104209552,1152682620,5819209144,4012086192,480787578,297373666,524930896,541407595,4696698356,3056565700,7616121336,157194692,2452637125,2874638192,3554319490,2019978550,2849690740,5075226368,951921988,24259284,627458823,6913209258,7862653080,2390637162,2361246084,2877018500,1427721172,101001537,1883754999,1854504190,3756272704,200532708,649655793,1038704528,4464197241,3017162808,2170570542,4873586753,8561662533,464373432,4530147894,1024989210,2214512859,6276550560,528904013,1749660,2450913564,970236315,4686688760,3394963146,1547535870,4624036902,8641605960,1053900472,8144539650,2867889078,2052453088,741817450,1644580773,1725286700,1302170470,987569093,766292475,3569488752,6896937775,1195866042,270694271,2888155235,1612618402,3045108825,563221560,5670786717,4333505701,130944266,1940504936,4886163670,3694979736,594050146,6405202363,2350787120,2909107736,1639908240,1783812188,1646399554,1330683074,1117437096,8895174561,2913676746,8633397330,3275444496,681299017,4320357012,4164012708,1889246448,4096375355,2535889461,1922298662,7241933048,2022489153,3036852830,2715909552,4244042526,5140915843,3178769490,703196496,565304467,776705890,3734129436,104017106,1037584239,4420608155,5640272415,1153789228,4765957056,608836524,4168158930,817584974,4687046750,6952255366,36631831,839464186,645592214,1949433264,3792486025,2080579944,933494682,204982776,190555793,2051523492,23087972,477919443,5815380501,29317902,4763841224,2685040818,1469073852,5638676688,2355925928,624903630,4225215036,342923381,3209014236,805534888,1634510144,801901728,6672305616,8094736296,785969256,37978524,2033419020,1585029690,3551033016,1649984031,1415988032,4841525100,5381694948,2818925598,2380492386,6123106598,2139596439,3857541945,2165897406,1316380490,2640158133,2004558474,3246229520,6100312848,533009848,651919593,626840508,1561609842,7421275494,814007106,231840629,894075040,847482870,1501804216,2381215233,4789657453,1519965900,2007125400,3846432236,144552527,2029233675,3750869285,2648976570,6693198462,7395125008,949105332,7903701728,1157300460,1004848312,472025420,4226046010,1666239561,667611789,1605369808,3608390084,953443611,5394289775,5381406472,666342739,1400631496,1049328612,3901415320,5065364094,777089096,521705086,5299609980,6174920,3926759648,3979011960,2253525270,138987618,7768938616,3648909016,1926539070,611557890,6343752432,59211486,5693873346,4784087392,233861338,6362266617,1395782112,5322528652,1747265682,318780999,1927579368,4630933825,4439117952,6569036424,1088691714,3272157135,5369909472,1072036684,235751580,6948941984,3824311614,1271420172,737305827,3653158040,1285541248,75632056,4927141940,3280498120,3844555494,2061316446,2487202425,2717199760,2485193920,2470114956,4495558248,7161604312,612552675,1665772146,1779571818,1334045277,1222148820,166988775,1425433930,1276588385,4292413360,4561056792,2624487605,5025664662,355802406,2412727800,1585176824,5651930925,8632786905,8125585677,4819553184,748637622,900692448,2745451986,341036444,5933377782,1164186808,523819479,787983287,6099674427,4501231155,866279712,3150747005,190868911,1702782620,1958409460,1433441972,6036201000,3792641490,2800130094,3669037356,4714596504,467661105,7024868865,1293663620,975589452,3038855463,3388057985,4494938478,2654384472,1469603382,384964219,1144538488,495850756,1286732896,358514475,1778174100,609612750,2531029005,7619233944,4448055392,806195593,88495329,8412017598,1075091535,1837859232,3869459622,4955152062,616650224,1918791462,1101165268,2288205155,1523384976,2484109734,633439268,8350019388,3187150208,862704230,2335095432,6306495102,6086110304,925922469,1637881147,2401179835,3437320600,4877355825,1371230532,1087388015,1276638062,167458664,1955656695,778546290,2185051379,544525884,105707584,223335156,778234740,1389992030,959372485,1670108375,771529044,1444725492,1110858204,3811438720,1569170442,3926486192,2208734500,156029952,42744118,2459340729,5610706184,2826664824,4894601500,4710228246,4049391717,1391665749,3391360905,3866313006,3214080412,902248088,5771024343,590409069,1929673140,2984220948,9191568,1383096756,1591294872,1499751627,588539986,6405977480,583140482,290598844,970243542,4350050395,4724549530,1082549215,3423847175,542591338,5168330867,5745009954,4027545529,772808584,4216185620,4504190040,686232703,2432569311,3731735970,6961440896,1570803634,1831848738,6670261305,208234998,1412854398,1596195202,2604719757,4298388220,4059900750,441284830,605981554,480192138,6884184969,2113676668,7335486450,186226460,3984781584,3708640148,982336905,109021182,2855703393,2576961132,5344598721,3624644015,10770228,180526332,228096145,147192838,2725076248,2458453524,2822076435,5605069704,1912315197,587517756,2933843178,1877491808,2545736790,3574268116,1462004400,5462421822,1749052827,2972113440,303296638,2037677130,154383708,1533850832,6115536192,1921326468,2638697696,2969770695,2808265365,3604262175,4605468248,2741159904,181532211,839090542,296414787,1770515520,1917603336,2290691661,4279718772,5892969198,5323422276,1043725020,5812033680,1111319265,4319403954,3775833235,1051486513,1214724321,546868278,6854015161,750025850,1757674254,3876718756,4422460832,5299749105,6558321945,4388356176,2424285066,2676847254,608655858,396143286,7513178967,676314631,38909999,1438425176,5152304367,704176476,7938001504,7625646180,1816698596,2159710112,8650931787,5287404006,3928714596,2045100678,3121464682,2555401051,4788595322,261394671,2633241672,88421825,1188467000,766161786,25224511,126930690,5960309960,976532925,1542208072,1022988632,1293881892,1389411618,5769273503,2306039964,7059326704,346599400,1678387900,5819612580,3228905238,1158150480,1721215085,3417080009,3316180744,2568791820,1676035246,957551800,681097744,4222185732,4077815976,2062424856,1060199430,7520992144,2353342896,843779601,2428970408,2391529104,8308221525,3603500960,1037268152,6161811838,4119280184,6869360736,1010907390,4915279140,1069649200,3046410148,1601163628,2621327675,4426325388,3478581692,4397649768,2425274340,19392403,6642947448,820517250,1405562310,3060147360,1352017456,280496562,1508379124,3219351084,5562876116,987165894,3059775570,6632195696,1818343053,2349622653,2134926955,39643946,1513025290,1518561879,678550176,5180526072,993656048,6537997781,3008478652,105338798,1273660635,3551928015,2541646436,1799554056,4673098563,485766506,7034274972,1755915330,1233171088,1516511538,2381581804,1347416772,35793060,1273711779,1860635900,1997560090,1025684632,2585002184,1161917124,4654190862,7954484823,393931034,1426810242,1003184500,552676284,187641416,2699452359,3538695704,1069184238,1074148404,1143096489,5599831746,264843432,101264195,3109668620,2967894755,781980438,3492110664,3803280175,8491836573,36004632,1282432544,5383493801,5339605398,2648780352,2964664204,7798607244,553534179,2202679152,5383433850,2689651645,178787248,1053753995,1778177229,1530963679,4295830310,1210788012,8297313183,1762805530,1091240382,3636450645,4840120752,652705400,1658918421,682857376,1449247723,3140469296,500737005,507814990,1942248598,1886940604,902566872,1190507090,93797228,378504515,4332488272,415587027,4107159940,3295223732,4709689100,228871433,62441794,1576695219,5039413673,1554075308,2235269125,3878618856,3425720585,6528804880,384629532,5382170028,4807343240,1362441062,1418963592,2701788624,4090021398,3530178824,6553740,4342045428,1840455570,453446544,3607684036,695651245,2901259380,3318814968,1595084082,2052545008,2639034796,3173426004,3564646587,5199192208,710838212,1089987208,6274475280,4959790615,5419180024,292686549,2764999689,918151216,5921342883,3002417957,6453568062,6050804232,565007111,2979453585,2469998600,1936303920,6500118728,2249422528,2281244084,3131360352,443742139,1808496357,287792156,1693597154,4570230132,449890280,214144970,1398833776,6299775804,532758008,1505407416,92855511,3353751156,1246656082,4696308204,1740576600,1750618365,544453550,833421816,7754589632,5042981130,725248824,4519516968,772391312,878566418,1721020160,6479515184,2079188283,1863395016,3609613488,4369956871,1691500024,660725448,1541013816,128648408,154682388,2414322528,1706743863,3410240764,378022100,1241033920,3438315315,3521027538,1873621326,1611267734,608055408,3098346800,4806258435,4935604504,560407452,723024540,4459074718,1678647585,1993574732,2198021952,3684581092,4245699456,8877626244,101564796,196923666,2824776556,920217107,400749426,515707668,1164500752,3970886112,760751835,2888754597,688918380,539691007,4052925366,2259280818,699355724,7643132000,586056592,4376993680,4030992861,5695620248,3946765974,3448200510,7916851448,1389764208,1393177854,2099431624,611798441,2091708732,4012522591,2140762144,3001094400,2386484224,1549326064,604666046,1514138435,8992408806,2794749525,252763407,6049800127,1038327588,522227062,1494778299,6671861819,2598497426,5912538968,272592822,4763194177,2337726657,1665639974,875169533,898644348,4029571675,2133369960,7390197752,3957408396,5281974688,3858554460,2630889180,1285637673,494280349,413231068,735466469,2593577067,1278345738,468100362,4605983298,2886854766,2777374808,4761098172,504811472,1973476120,1475297010,2037650976,727092888,2840878683,4400642765,1155806106,6032122016,5839291380,2091942205,2068065538,4250787660,1014922555,1538435500,4195960280,3022883520,4060941633,133463904,1882085354,2811891756,2405741700,1478574670,3554726497,3028235595,704423196,2024991720,910997438,7352039344,1255528432,1553074312,1159216528,1903269436,1112167658,1359058075,2146730665,4060113872,7555297806,342416205,937521714,855621904,7802090685,2949940092,7575870879,106167692,1423880088,1146843540,3509775542,640647450,2307212128,744950376,5393011912,1016453165,3288155324,1137851480,3659428736,1324363470,1229693010,832152350,796932642,6770527767,2724433482,1688725206,3641121869,3734560796,4972820535,2449497070,1076756740,581304042,3080958713,5583628204,3232536822,6183147200,5529877262,1497718784,516427280,2429958123,3536808080,4386480865,2385038436,4727134668,2736122670,2502447216,945572880,1545162350,919687137,1290532416,2343479988,14810196,1573400884,2058407934,689622592,1964654856,2291688291,2523351948,5953482283,2408465316,7864266186,366267822,4547420504,5724463241,804509946,1158815754,8647780176,804759234,4148529282,5748206622,1365936816,5305334784,3383682504,1822551633,3538537944,5662626584,149678704,6627995633,169506009,400461870,460538741,5648647878,3107146635,2675215674,1640299915,1729194380,5978412104,756467856,552127776,2197392890,3555503736,1671360404,4912061778,1174908412,3545380182,3669037736,2449060386,141680824,5136517080,256942289,3575894430,3632459376,369524622,1816872050,6319805079,917573571,1539644180,64721468,4455706892,3822792164,294752630,913161030,2628517400,4894004635,4001272785,2080199892,1333035528,4788813414,208158351,2767278402,1386047060,7931290293,1802306256,2437496190,591542916,1452390226,678910040,3789809456,1697308612,5124897496,864458680,1733401432,910619690,41044890,2852653850,485408450,4517545392,751148799,218873311,28506825,1968142854,1697530215,6313304718,5490266224,3889961316,1557597834,408925848,985936224,29186429,1593729672,3372469758,2907502398,3549723392,1808399184,3716765600,2197586128,1096963508,932393560,139758880,3727773204,556511806,3792114036,1296131900,2051015840,2274171736,857694755,664126296,484508120,344937497,3028358005,3261102276,543083050,4621342536,455834601,2305523388,3866229950,3073841940,2493404388,506792499,635993088,557292516,2710363635,4891572315,3597710562,1800839895,918417342,4442585028,1727644212,2406112248,4478475264,1684067214,3656819270,1743188573,426738151,831666312,1597022976,127293634,812125660,768390363,3739352056,4954122278,3294406392,2767871335,72998772,662777269,1321561122,1065214074,1701780895,1450911928,129678940,5563387578,3391433435,1497547494,545224317,1166602666,5523343315,2061215118,1869156009,4975817805,3021207448,3963885468,3440674284,629863776,8906476446,611917083,7520227152,3984581027,1704165410,1759478680,1881072530,1388871252,2655491676,550050477,2491004383,6183386136,5809643608,1381124080,2957005220,3404147208,2997058864,1369970232,4984103936,898589474,550335200,1176866772,2921206337,4016279718,5504465582,815707415,2657002914,708970220,416613120,5902847696,8882716887,3367280965,1289344490,6117647200,7295615512,1959389726,2129480240,794355393,874091076,420918073,2014193755,3453416110,631983356,443762642,5453645484,6156293255,3266562652,4869180696,8304690546,5859972351,296377693,7067129220,7819533192,5838831576,5096104848,1975266528,1598763224,2663189848,5516287,2897237121,3965780892,2944685496,508371935,1460116587,50283808,964090869,989891502,2557368860,2315404656,477852881,1742357022,4188268146,6422307448,1812193376,7327438032,8466948423,2486393391,2019046758,2557947570,1910905227,2823606550,2048233600,7325123792,4906259715,3065538147,3878492632,406371308,2352617718,1447266808,4904581592,473147451,1877818131,1662670236,665558425,7281969936,2409915696,5676398928,4169377026,576573640,825425024,4776069306,4019604210,4066260485,3934210140,460693602,1621121607,2441556320,581417895,4456580661,3603182304,5980631634,779785983,671437461,4516156672,519420702,2289886928,2463924483,4766118161,45988130,506144092,1349911258,666891432,471552032,590821966,1921190131,2496443428,543987626,3395739444,2348389924,2846605160,4315385095,3813399564,4043433775,171948645,1839410859,4626375216,3882366632,1005652266,5356303778,3518511685,1755411720,1098227370,3215363520,912609087,4595085425,1681117905,5077516440,1648549580,213978600,1566736006,656398766,4871878425,1067774706,2180374440,3943811904,1254852564,3572087568,7029262224,614150416,331463478,58471662,1229378437,5649014742,4144205264,1103960826,3766289484,739295492,3312708057,5854203822,2188282890,1468896634,931430262,2495563212,12364386,755649093,1723752432,5554773760,6249980952,5874288826,5736976686,5935268032,6991347482,7108296160,1273559412,5390912905,2120000533,8384916762,298875420,5486276874,5798450280,2384657427,3371706068,3846407584,1236547512,2754970440,3635590368,2892121235,176117200,2716446995,2862106890,3918603006,2932188270,3152749340,4350275448,1270687382,4409131602,118497556,1450966979,613687198,4812923403,1349023580,4286671128,6572563136,979036953,2587253000,971341228,356231838,597196188,375374501,3175734870,912699130,5260046372,4749427695,2426693100,1769786568,436732019,1517917742,2173459680,2951675046,734731120,870162110,947884408,1939200855,847376730,4282038990,5072485957,7974183366,1835474010,564567041,2645735456,978905845,2181217680,4759677616,3057992184,5564723024,2293636710,1360971368,2785539780,1467703713,1281273342,967315591,2700083561,371449174,4070722760,4275377484,1611393960,4004657245,329489024,4688863277,1915202944,708979729,324824413,44030265,5997066741,2866357568,3962924752,7090449363,4932368910,1343611794,647090640,1877863508,302595264,1561261980,6016130892,2604932022,7675518616,998233570,924569610,1637695314,912436784,1350156112,1956418120,7408999992,2422034952,1191988350,450582018,344832535,2593183950,21746640,489854000,4028233636,5061056560,471155550,2668693869,1761491262,3851635242,5920391799,1002891855,3997704141,4929860335,4542350382,2709742899,1617345148,814550494,1095474664,3471206828,459989785,5589225270,465878727,1180726558,1350918306,1401316518,2154177600,2895367040,6561527400,689001728,1786660088,1642124912,6596314529,939406955,777218944,6556307643,847818176,1110384384,138416489,485744275,5494775310,141267450,3291396878,4342004120,3548629152,754673391,221552487,2903746612,4980038337,1834217610,3017535728,421792452,351745443,4135604599,1538403291,7007036679,1470896912,192399660,1101436072,4563912015,890512840,272099935,6131319264,2953701024,5944318578,159973684,4480618216,1639447106,162060486,1800086415,917043985,6705511551,501919950,5060550648,904575535,3063225725,163623824,1053012520,543277902,129105810,7305418840,361799910,835772484,1632095922,3207521428,797889515,199467250,52350027,4703521060,539621705,7596763104,2740526826,1413109358,1934266038,1984779476,3862131288,2258972460,5961291561,6167204848,2273758278,1946968750,896847074,7305224157,3720838490,5825988585,1273632106,454879924,806514970,4818733815,1569667628,1553850381,490855638,3756267320,648780596,1033081344,4633139070,1786121202,3819019440,1733510162,1598893815,3223761380,1989445806,5078323432,1564658496,3212315288,386677338,778937678,1708990587,2913984906,1817289365,712630640,75943772,1476485490,2653005942,3852272790,2598803186,2381412051,1888291694,4113612680,184440126,2580452955,1314704277,208949988,3075450215,2231946690,7527349620,687799114,1759886528,6178115565,6273436463,24435594,1031929824,237596128,1922936229,6743068948,2634221936,7479402489,6223408640,2213631426,1982566808,2357861034,6228450424,4718701925,969858260,593947466,7659483944,6528436936,4748814198,2048800848,5417054721,931937948,989286288,774908825,1688749764,1064228478,1785288819,7370304136,2858527725,4908166776,4886988085,1395214756,935412036,1271827980,4692716376,3398109308,236566332,848167644,5056751871,315060003,277087600,3946478166,1954596555,4593951612,2473648746,305222056,6408984832,2787153531,4126118300,2994550692,178946722,5611579036,3442760216,308207457,5568702864,965335500,2607813324,1973616468,3279743984,3349900844,681493517,577078402,275682330,6710258008,955793120,1835050606,3296910057,4411874160,367857050,4909399200,3385253376,992895475,3828798990,2205570605,72760415,136696000,3904794666,3355134370,1599331155,5984319040,1095066861,1089690780,5685543164,2294223945,6036773736,896538690,594448857,441743808,2614111344,1980513650,7263058088,3265751924,2286427374,6077802114,5895019548,1718112843,377062160,168577200,2165826279,2713410496,2451143691,5722441736,1170979656,1597547596,2446145895,2515625361,2602554556,3739464872,5875520296,1451816092,420483339,265298244,6597674636,989348160,5118473101,498372639,1890566236,3967666908,1580028470,1028012100,3903186304,3168191466,888153916,5911515114,1411652796,519143934,1621991652,5179709856,3299224327,1401980013,2069671740,1342203568,5185013562,181131106,3907647005,4229056395,1616377584,6227776272,601403030,4470399269,733395016,530212673,4944824633,247392755,1905579687,4865932506,598723038,358087656,1220396384,2132455710,1603255902,2548429960,2552531115,4809676340,295939702,1726470474,3037053200,6316010428,3891719976,191704648,1383161232,5277280086,2783297924,1147262796,5448318071,790048399,2418103020,5014655778,559482698,3795249498,2207434124,1968318966,1662164236,705399580,74115673,7549185969,3084749192,309967742,1173119955,761181116,4335141860,434659462,1237308454,1096031408,5350530000,151295036,6521718952,3203810152,1304013876,2811202242,3509775936,1156888376,313526396,564935466,2805755130,1568256725,340897260,5882970898,3686142616,281302715,4953542319,1091289244,4221281952,606219768,1502378262,8080441515,1640752612,1376006846,7852610488,1075388744,1936971316,4219700661,914954085,400856107,1709235180,6021508647,541191617,3394998860,1748220770,3290780216,4046276801,916868458,3475380385,4828584234,607764768,4043751320,6105367429,1093267932,1342163263,98537418,682934966,407727236,5868240186,2053627780,452700135,837553143,7667249463,38937856,1167994254,6058099369,4161992835,4913241125,1557958806,3634630800,2778128848,283319768,2037857823,2717395583,3035833983,523221802,1043655390,4164711768,4824773334,848364170,52496659,31260150,2929626981,3708596260,6171349247,161249216,64885750,1956239712,2142327960,2913186387,748821664,917255159,3254417080,2572311408,1697647716,859237614,3701561589,8194428396,2782844697,202696616,116798826,208826010,777603855,4052197632,1639059933,3002817139,3072731787,462243930,4691252685,747467015,1978440394,448043366,785533561,1057550964,2682258372,2969710695,1659538978,3596143998,4000016838,2884671180,2109888630,7823586384,1238872332,2789843400,231932968,3458192580,970415847,295417070,680886429,5287851261,1050335829,2349129048,1641555591,3401809911,8219982555,5516784672,1361774001,6463594683,2717822961,6823278399,4715793096,3038565240,4703177801,2890064144,1516133754,3131117292,7606662327,3202097472,1589572065,392845976,608887689,1192545128,2225580416,1329983064,3393830646,3537781602,3162785765,968507480,1402687377,6199440016,2069343735,648074254,823833324,547422824,7734961269,3274237230,594897912,892316930,115763814,4676101350,1461545380,4731082740,2304585892,946990972,1498175684,2505664815,2118320996,469406430,3543161922,6864085305,456822861,18224079,674718846,1696830755,6366473568,723709821,5301662760,209271272,94097824,1508736062,2554090156,1350558024,1258265540,5459287184,1562140719,78904352,3728699118,699847319,629565685,411647648,1945394270,4310004818,2722677993,7645202640,5454397836,1541630135,4505871522,2077950340,338775923,2760633200,1957813616,1482660268,704554160,3398393584,277472910,7670605788,517126352,1812770796,2015185464,233030309,3964030788,2678793173,1694747960,1556167008,3738606080,528375772,2212608392,688640492,2715513360,1877988354,5394235182,20455400,3283143078,3837305520,4364422155,1562910116,701380344,3020673564,2631120693,1590362456,281554881,489043601,6306438528,993335235,3405102036,2099575808,1115831336,52984190,960463752,1294028076,4721569776,2662833019,3958570648,4621544403,6530695320,855424186,8518366233,749435320,362186282,497252988,3920459700,1530010980,285393393,5043579291,157979340,959820167,919560296,6094680907,3668493864,8416873656,4699863476,2366859894,2159542107,154925528,1370709450,2750199384,7216457508,153849015,594976369,1993368820,1968468621,6278453800,3906144000,2937779880,3199698812,292854582,4244878386,3496349444,3196472536,3235113016,927701027,208321115,38544314,687772809,6652435977,5433470136,2181158304,270725244,2986264108,1295768268,2819980869,1733887974,5594829489,97771626,4054020201,959105502,3255819984,5361310332,1804123835,5962250058,711356166,1233355670,4641741090,2442590120,410950932,4705684448,145811152,3455328480,2248939195,989442770,1949140255,1941887360,7707306942,213538316,1319447904,4517673696,191330892,1272230076,4891358870,3596388564,437157744,351178435,1541279070,2164227342,773726112,237588426,1364834151,148178421,1939418685,111395043,6860393365,3645601045,107951208,286386527,325338096,3862938275,2465215560,403416235,3655691622,2979783678,8690276853,10452225,6289199847,345769035,651371358,1696594804,1746159120,493228428,1620370896,294494296,960385812,1061661120,1146789702,52651761,1171079132,382354134,2847747524,6809106024,327489352,598302351,6508076085,33719815,761324739,2917010178,219511768,1116510536,3409452548,2290679704,2372665075,315217135,3241084240,2230531986,3532709007,249613889,1684511136,6671728832,710847268,8088682653,2894416992,3954898260,6913938528,1698316230,5025119562,3350627472,3749040169,1400585100,1485039033,6084385911,2753627643,3942415032,440219382,2942070480,2284867548,5482589888,893482739,2945345421,530886762,4452757590,364808880,537717607,1802747856,2195707216,5484565980,1203276804,167109517,629916846,3689902600,499848870,1726643610,2914151845,483485370,4911904704,4118547923,6185938619,2319966436,3702837804,5572340137,1397643051,304559170,6405509047,398654295,2429940015,873955668,1432063460,1192321620,127183908,1759465191,925836714,6968052504,4163780682,769573899,1019595798,3595222335,992482404,661949197,3330457296,3204392639,168981940,4132515395,1913629178,3842033136,3183410765,1179496485,1594973295,1438073418,2745870340,3219441558,175855603,682497924,7742729871,1298990954,8482778064,1238989332,2973304792,983730770,906947548,716216034,5649676266,3036942370,1566382384,1754496072,523530140,7910974134,3114097416,3793210570,918408820,1555766324,528474065,958265626,3464693145,3416722100,2758849520,64923014,76084996,4815498258,4239978904,5959921374,290933630,318824532,817590873,1145319489,1924991944,87045580,2907360200,970180500,5769779968,5699168955,2587207240,1607542596,3187742630,3570579784,2192668499,4801574255,857743012,7313738184,247652822,660012302,898374491,1227449481,1482023664,1599639475,7231817768,5667479292,1137628380,1370193456,3761702224,3709707072,1068666912,2493556173,6165285876,3138755636,2649768309,579127609,1826587944,1539945093,3711294408,676960451,1831769632,4071610936,121657328,3976305456,688320450,1355540444,2105696736,3743171540,153186936,1024451019,4432368444,1575598542,469378170,3963420048,1832910316,3052292235,6652328431,1292493051,5151924400,2082017145,1432297930,1986255592,2582346298,4378794615,6434318702,2852920962,5800027765,1302838580,2422619199,1433566833,1569549351,246118840,2750720631,2726793354,632250352,1687971792,1341119610,1023977370,895203720,1302836787,5619024432,187813296,750898651,3386410950,792489683,2648021574,589015413,106311300,492232602,2772867684,2760940945,1580441064,3557799810,2014359075,1001876390,1127696832,149694464,1785300200,1823625400,1171068600,3219328288,412153770,929402514,868861560,3158106616,168801585,98791632,852961988,4872426129,3947476758,4371747360,1021740735,6083022320,818397416,193463960,91203112,1878471018,4270433185,1944383232,2974508472,1473611083,76539240,780192344,3286940825,277362546,38658004,3382794696,1330314962,4576608900,5535134244,4905756657,206053296,1373964447,971414172,3502100440,193303476,7376774720,634629790,830593937,3989195428,970108776,6757442968,534883404,1589092992,420088102,2851261287,910818060,2529447924,495244570,2134659060,2537937909,1436057736,6191677728,902078965,491169720,986626216,7979006480,2051680869,411673010,1886344068,687785083,3043111496,417003981,886065461,6825517632,3496321728,6461572851,141190686,3858258492,1010332892,3391950504,4200910154,955672128,1667616069,818319299,2816662208,280646652,1352269944,970230366,117455413,2943751560,1446316888,2647958145,2413828105,1621748820,1920311826,3674359420,490167880,750652461,1681714027,3087977472,4006283040,2598497752,702880111,984789144,26469934,3536834136,361206570,3967267234,2034643325,2703098741,8425679166,1910315727,650542113,7210331370,7055836776,2079990232,3394550075,1442345835,855567284,2167366113,755023848,1474294110,180549427,4025334376,4562903400,114190676,721796934,6875654072,1925089356,6441394904,1225292546,7429346037,167660824,10821354,676518264,286212881,4245576160,295027515,324901138,574951704,1661098566,430933494,840039838,1418438700,1840681275,2496765096,1153437874,6322982536,1946929194,1414437396,1747449360,288125046,273234255,1429595494,742618086,956707000,7226920908,3373088589,126468350,223608379,7884727911,1338691855,4355032960,1089432324,3690959800,1170735852,808336645,6198672669,125308385,5494753890,3873625080,737120130,2398182720,1377439520,2280684476,7665151192,5966227104,1139674640,752104536,47080258,1509651216,3950069045,3634642608,1366609560,1696443625,6496655536,2932160982,259334580,2147724225,666835632,1164161607,2373390456,1350749745,4816031170,2163688581,4513135032,2478133404,1472149724,4462021136,1920470169,701520304,5163605816,3700998729,1101644402,975060225,261729376,1982769146,1747662075,5689674018,948791988,6545272824,3650242505,4135003278,673470242,6846497000,4878972606,3600494793,2821938468,879414039,6533105411,1152259330,3642693725,5000332376,827310777,1947454368,300527300,7094924912,1900017854,6658080975,2997483834,4425239616,3940020800,579666229,30337236,114651088,4095724362,123067840,3613177560,1029406107,1231816506,3866761700,8536371903,295702656,553261830,2899880936,2983351528,422204900,3291459560,3416545716,1885001192,931935382,1665317008,5703052089,276450335,5919827334,3868777339,3353540132,715872468,8277307632,5243833230,1500696606,884853240,164169154,924508620,4787058840,962083067,723172982,5862963272,6150010734,5693905568,337057973,2087591215,611713021,4018565825,2441038782,1045147964,1999252200,2235253955,674802576,1703143410,2555735559,959050246,2605330770,2247134745,974061734,1391450802,5500293372,6185010153,6691105743,3309333664,1485822699,1483432335,371859085,1394797634,636858354,779241796,3994889166,3402351783,2371858974,1287600465,1297146060,1907992203,817930616,1176221893,4699075248,5089829214,2066068752,1502338914,483177509,2181063376,26689836,5635564809,360899897,248814552,2478822772,3714115242,5251909170,516995488,2882866887,5521704849,1838382478,626477250,524692734,1277544432,1612028520,541499662,2914466871,6273748032,644334712,2065183116,1810995684,2109325956,2939780268,3780039858,107024028,483866919,2960732278,6516836949,445665712,6900520528,96012546,1221642648,6771502724,309633831,202874078,1364648560,94593102,1558138204,3479980656,5596454115,2173593168,1218848830,909436388,252318496,6099361128,2468856232,2071858700,1821740856,1456698914,3441944890,669236436,5154903608,3069492680,369007330,8141743404,5453764029,2327642352,1898176230,680371600,670680606,7264176,296951250,1022945469,7536190050,3673823992,3994004223,797586600,4090519244,379102603,5500050488,4861128216,5540783672,152641225,3669338016,1724704505,477160306,859389555,2004126978,29553544,2436596892,2054671314,2604848958,1942224492,5060394367,61955874,3428809856,204601544,4416633207,2550451911,491920069,1234861620,1163442568,2118430736,2176147184,2127559470,1011489810,960740336,2361848904,6195162528,3462237654,4179807810,1207600368,190972418,610881094,464786454,2277287712,7070511843,8036589888,7809257728,4582469889,1465255603,743763339,2212832796,2834637561,48598726,800080920,192199788,5566749314,2913770510,3333985716,1913958840,684359094,1102268130,1709327984,1915588320,1823726195,2064982164,3712038876,3663265926,1358272540,5324957073,3777051509,505068745,370770018,690175239,4410988146,2417181504,5052196205,2918654740,3435535537,1351266035,481696518,4302492216,772519208,1401564555,2004003090,872274650,75749622,8656347069,732025038,374566431,564154950,2926170317,854749105,702997570,222117816,3043747539,1650019864,1920862902,5411734278,556547172,3612299408,1650368646,2931787026,4255035022,356583453,436560642,1591217878,484039042,2075154441,5923581924,1267723881,3665689930,628266510,1868847706,671188616,2325066366,571206020,4200046295,5048522310,3508865570,564301271,1446637338,2510412008,6798531978,5107510344,2759828562,795913908,370304988,3851813795,3256886223,892620729,337955746,66267570,1588211516,4417523565,4918394670,3438069460,3870724304,1692832780,2871669546,1615021248,1504669530,870310240,3789040746,2754191225,4649336310,473897696,1129264458,1363445892,473431611,5376133728,908145066,1421024115,4724397560,4835826952,1418505525,3321319932,671650981,1992549642,1734618316,239097006,8798357997,1740458358,395106156,1947405512,2119269672,240651292,734928584,2185475034,966565145,6986396112,2475522696,1427230763,2631137391,1794404634,1282882443,1394295453,1547152235,4517061410,5021671266,4374743545,7375586928,979659666,3608808924,5821595850,889504574,504827838,182386865,5031562216,2890232261,1968353796,940452428,8172339966,5063311074,774397239,1237092672,1701710520,865839870,1562027172,1071829692,3479952960,601367013,3795228486,2079979524,978364332,5457528176,2330808756,3137067856,5404464744,481799667,3468387584,2519908701,1465370275,4815041555,1904959016,5939658690,365115574,7565886900,3747365704,2666600056,1128734152,1469263576,1108095855,2733258815,4454961204,668239691,5981497299,5280290136,1957483008,708431902,1879128195,338211640,4105443425,102745364,1762821356,213405710,5866433048,2439722778,7348432122,7045949196,233558189,875937544,4690026270,387197215,232507750,2736548811,962876104,1506966235,805563661,7021836888,717046995,3999186816,969089009,1282780454,5242769064,4710549732,89825366,5985670581,1892499427,759232068,6776253981,669807588,921627783,993399036,450994176,232247426,2515154420,429672448,2273753832,5013496313,1655600628,400571588,3931524648,2263207941,1276681638,780198966,4743408024,3103143732,2497262304,27929415,2667706364,1546605150,4931796520,1327425056,4066551040,1305848898,4200382206,968478947,1622517665,3759683280,1625973156,402157663,6225621579,3763818654,573911126,4997145979,996852540,2149609266,1756733820,4536743150,628784130,3931504905,1067356980,600256388,402791645,761061426,826858643,165703730,253964130,205170516,1289536072,704847068,700284754,277158917,5197821349,3515247065,3204732224,2795488014,1106446264,2790579372,64456616,3628114792,175611126,2959161954,3699089228,160392748,3828746268,1593153506,1206996922,6374696958,1474416908,678064281,616682692,643978886,4867673526,283551855,1327608296,5083868352,790725294,2402436408,2068595885,4104422485,600720595,71002066,2044038744,2367077880,5676712488,1946621022,6222972980,7978832432,2617677392,3152754997,1588171776,6127670712,686513142,2530406196,917786681,4759816628,278635887,4505151420,1053199756,1123032874,763788803,2978401790,1759614372,1609639580,2994445785,8728042203,2194218145,949212837,207942111,7537802517,1665410664,1262880480,3494988995,2709612752,6028129824,998137488,7826506263,859652879,1367436450,782817669,3259292155,1375929381,2457673932,2528227398,289167037,6679311831,6795480120,5440622184,3698243072,395652027,512678035,4445470230,90915309,767589216,1268180964,3956895116,1902268752,955858542,160112696,2386921530,2091898760,5090404293,5909868315,6366604797,2289516188,457773204,1252856448,1066234953,49274888,749727833,27064890,2737282280,245546011,7547616585,337434595,3401466264,2916364385,648062203,3240682120,572457764,1830050864,8704262313,7040610963,707678828,1237644295,4830258450,3410092320,8886251718,3451023772,1185825200,764601372,1224868704,40925679,2635977883,1297882593,323097273,691557364,1506425142,4297387572,24682324,2730617148,70479198,794044998,728677710,2850531711,2775937684,815962432,3832784648,4678951302,3840398964,6622210152,2543825914,585531036,747117232,1501903203,53529228,2418937792,1527129448,4679945396,4036250800,6931196208,150668469,1325641590,5524276219,3858953775,1697668392,2754916024,649594773,2510220476,3636237592,3974997400,7618437824,257331780,4863491577,5855606953,2205384976,875011689,7433613552,652855296,1245400128,3091985408,716984388,2851395920,5310038872,4659448710,180642800,3972083450,1375832384,1557429951,2076724518,5730076200,6579273033,8190690921,207349804,879969677,26948705,1645995260,4145503392,2430258750,1683406044,124345160,301445552,399159781,294103976,430152842,178438772,2310595686,295051881,6343303169,891178587,6633404973,2340148944,345135636,1916325039,1098843774,766579715,441999064,2269022535,2690494527,942249298,101594964,5899764353,277029032,297309180,410712632,2589628260,768622670,1176186398,4884291240,6837088573,1387646832,2295277820,5668097886,93676689,1220238114,4119533352,948209354,2068789500,2810300480,2730680090,322848351,4702300176,2455966737,3211289480,704083961,5248001088,203843508,1719608826,2785990632,7735300767,659324522,1085259406,528330754,368370523,7194454544,3287791065,1294727175,160434186,588583980,280234897,975205048,1536797865,41610999,4407480560,6926104848,2208606537,1702470304,1068289509,1653391610,5018766048,2257961028,431281940,734853142,5815060128,4506465110,1598972824,560340095,1209973004,3764401599,1115791146,6731585812,6186013127,47655895,55948848,418663629,5060748816,5145547384,574351968,1599373920,2818452069,5321249464,664569951,4890955464,618059692,753485620,2363864760,246634010,3482258430,732043026,6390083574,2350046660,1560029750,502141572,896189952,1818063940,2028805047,2432004195,3221018216,2791996878,675073526,3093747248,556245220,7038614960,117932213,4525310490,1370414636,2443059185,177181515,749569096,441330515,584848478,4569800520,1351736844,2196431592,522023766,1326682511,2161114368,654485840,7192632080,1025451423,2981020155,1445546936,2586951536,952209057,213503461,1976846584,2900781084,842074072,294545214,753178823,103852464,4516555440,27772390,117723284,1548300615,2558177565,601576914,5384804747,511645417,2565163180,7274893563,4594117854,2272160400,1886691594,1755744648,723540050,1475918982,2559364591,889740897,1727378846,1382260765,742814484,1088454495,2351003795,1045600002,532822503,5851534608,6991466058,8448641559,747353618,1104926958,1426372260,4740690944,3168163544,2164652817,1911998312,295048206,123189666,126904312,1483103592,50219937,563615416,8439789744,4718987730,275061340,6305537232,5796839808,8214762573,2973474108,248686109,318508329,479714714,5291274432,510581358,380008094,810817874,2856546948,2094920334,1954771443,87464482,818248740,2713350920,3395133192,1024156992,4697158688,3105658008,641023510,2360971150,942136236,457047328,4899754065,447637644,386528338,2414943085,6494955369,1181105991,283797857,1284702788,2231309500,528999398,2518685766,2774023576,2154442479,5263813952,3365022549,3081399867,65857632,7072876962,5232224274,3987793134,2902065738,1990325127,860013531,590623461,1782908708,679149563,7709519709,93447912,392585580,4607541258,466011126,3807373570,5448712056,2312073404,199826234,4665252296,5597908122,746268039,3789695312,1715967436,254914695,4900063091,3877576488,1668528442,4191129360,4847683218,825093528,1047780332,4180229928,911520202,3797607768,5256776316,3981912615,2612348076,1493843298,547243960,907092636,3982639185,366527226,5180337588,5418692487,660517425,4560394720,694409785,2833169337,1947427420,5710560555,1191192224,6598593869,1177134378,898710410,755228871,4434116905,2992412264,1483632297,2612977890,147476060,1210670524,7445887452,4161209892,920312384,744549972,2740577760,291796810,6928510904,6132797559,4677521645,820203288,2096713116,1324590696,2261285736,2177539060,858898092,7858342376,610378054,2744370352,2117559171,931313964,2448799866,49286750,68711714,4640533904,2301744276,7296551024,775154900,2763146232,3719122910,3640659544,3967082580,6647539514,2398263686,3629066432,3438154584,2843010261,864761144,1298428784,1348341219,1575059220,1340277496,635132876,960424384,826519806,45334403,3126504010,26267168,1300556670,3578467383,4867897560,3546258462,3623866680,1704124798,2579129316,1819014102,5281237288,3665906532,3570633207,341207120,2638768293,407644697,3932697808,2122777072,5038569156,3795870785,495791401,399111941,18798984,5428240678,7775780432,1475117680,1399760658,2459215936,953253480,2158042320,1149056115,1119241460,285995897,3406712452,6829946298,2779846430,1597347064,40523914,385911456,1888930665,1828981918,4685851611,2026173800,597001886,283195541,2755826955,5219076992,1703246388,8021181753,7368000219,1260663132,1705487292,4180644621,6894417960,4308380013,559561974,4846881995,680742332,33906873,3266847644,2523760965,7725947850,4396454142,5496323322,5924775144,275538916,2375218252,1210346080,805249208,5413522534,4491722010,3783809454,791166417,675888616,634096608,3009935439,2520508632,2453173955,2733110852,2560200006,6110929683,1731456839,559643391,47246402,877366648,934657507,3245403196,690925585,2503544876,4321309690,314326180,4573536793,8348075487,947779776,1053976370,455995556,5251710897,2002659084,1861515135,6385013082,1802996886,5870327778,3557379025,1711955376,352648486,6401236506,4958107224,574614685,2460561048,756612165,3990027034,1734353915,5427456965,1704840340,1116902316,692618580,1495802246,6438415249,6277937472,894314004,4318081605,616402383,804977646,227206880,111649659,5710318112,1683897880,235056956,4979459545,3213369535,5904355592,454504914,2986155279,167257556,628831539,1413608538,1423565664,225132221,1814947572,112484644,5775769120,4853737896,1297605702,5934728724,1452761109,1034312556,740861817,3427770447,1646364792,609655960,872904253,8589913677,1258905798,607653167,852046220,1538460732,649051612,4952250750,67822932,4732846314,3557592648,285472934,91636134,3702873672,1005248775,7582512296,1229603776,1841534343,1389477600,620707348,461908716,2616290396,801515742,8442679491,5903438730,5053857420,866350086,2253780885,929217213,2640872815,2896459628,716891596,2186898903,678799869,6994795626,2427462228,1432259070,1333420575,4101549745,4629633743,4522680531,285031235,2845556712,634165112,764342484,700604934,5882349726,3151448032,2808231822,4033323938,2966409078,4300980265,2546034000,6380287865,3710387637,2781358708,5121572010,5382321609,1242045816,126329043,625963964,861938252,1219718124,298718754,71742496,4983288255,197846416,4726983435,2770052800,783833048,2861415221,538880316,890320296,862008987,4805003574,2608030746,1444932258,140988414,697365882,2101170900,1419359316,3226312028,138111672,3880671216,1823248179,768918872,5940611,6815243,2023293108,3104367768,5046279931,2274367056,3903303948,1209873222,1300251776,1499083996,4667946696,206953208,2104868988,531854941,4442237800,2353185876,3884373880,3629818986,3386253717,2552357012,3579666538,2009364252,1982043020,4291818543,3314477215,3306525695,4614514478,1117679408,1768702956,1522146520,2674698147,1870472359,150564819,2730484616,8884937448,62365918,1941325112,2523509768,2323785987,2941181892,4278510033,80913182,8540436195,1731419850,4457303305,2801594324,1127474480,600148945,3148679505,566465400,4016910016,3188671528,1528947954,4016123970,342468756,4226632500,2232864420,1588585076,563926308,1780834512,3425771732,2496959985,1721384564,890033937,7217338491,1704707178,2248873145,2333100497,4797430025,1002192230,4862977816,182000937,946534324,1363709200,939085440,1472312340,4775141504,938373308,199552037,6313750760,4915905424,720083296,5789174298,5795988037,2645101428,567519022,136087112,1438061746,5368959392,606630747,113068096,5467745264,3327299088,3226243433,2330567585,2448922535,4341839448,3809542260,5716522752,2990657060,555934488,1173326480,1509525592,116209848,383787052,4198675775,2068928700,4204476396,2408382011,1352151168,6760058391,3892502900,4092013287,769732710,959390466,187645092,5211935469,2581816554,391591655,547335235,315074103,155686236,828142638,2988828444,878251920,1528125228,1410878135,2769336177,4789302287,240774752,6101776176,3330603664,1540380052,8244576774,1640328508,468695308,2133363088,3070422044,3703526099,818983479,1156763580,2510302914,483018619,721238931,2224204,8509607280,5352265266,642386916,2928948128,125837668,4142165095,6850507678,795203140,5233043424,2259256563,776919747,1346935228,7803194598,978686688,4340185398,1757382570,2680434920,5829685512,100734135,2373993200,827745345,1124899146,10842488,4446644510,2260144320,316847498,1948541030,324270578,2672364423,3511019240,1587326585,4001023670,3991850810,1174468530,935889512,1768790193,2642612070,1950381345,1056686132,2061609759,7453540287,3470344026,56504530,1005705045,1033794180,4487490684,2622867520,2079621540,4098744525,3862679769,2789830395,6793605256,1833233031,477645272,6238332999,804903174,3475822974,4133972394,157357109,3904891845,1524995457,4980514550,7161899536,2366175402,855265176,513749360,1907892840,285601162,4459206297,3925146420,997082748,851501932,2928910764,38035785,955024220,966749904,5216521611,3639689380,899310360,515324624,4165437258,2607344904,202316555,251382518,6103638331,495667100,667623072,1066709940,1882988940,737851428,1426396476,6301971312,5535455772,481996419,715376210,136621965,2879155305,5820494533,1395722790,420728158,2116563323,3405250408,5276975123,6163094328,279931528,2717481012,1407519348,3797303436,1400941570,1424004550,3632638275,3997535370,5592024040,930178476,2926763298,266294953,4513005434,8894313603,1738833552,34983152,3161558484,887584062,4076870286,1219600366,922433366,1997653480,3982806675,502538992,1674256670,1848444040,5403198176,102356574,2005326228,816088196,1819989531,4332065112,4215740060,4721499940,6146778211,1102658211,539709674,1078708050,822250159,4761332010,320297445,3679375608,836418374,1091615646,88129108,406045986,5399368299,6265575009,4269308292,189337700,502048998,1263688326,1550222735,233970022,3979912985,387072672,4178132950,2937497408,973452756,285846508,3032972370,662586883,3777372090,3772435541,1538720700,2759332807,5374596570,4924601738,1922508692,1187499638,795879460,2270569857,512023356,715729132,244280278,4883291343,2266726168,6919203834,5187928522,1038276736,93784120,640331304,3812627880,3248248075,3609872288,3155208385,3776843312,28715175,1321196632,420512743,4010929872,5503512868,4076425507,276826864,2792795455,4913669547,2391599796,22826280,349750790,4690761056,1960561328,642012732,2668088232,904389185,1931248839,40411798,2122018452,739940619,680171559,1944775848,3414120512,967063095,1651518558,629237660,4117825560,2062235055,1387833052,417119361,5719891530,2326619085,986374504,4908059716,5445756967,796911328,7817326008,4278456726,535665920,2009800164,1549563360,1849184643,30772881,5110959637,3663511866,2096268988,773713308,6491520765,5993439168,2174240005,2943423348,1134795368,988935934,95206943,1820104182,417747132,639293185,963252072,1450222130,36057750,714064336,1879865496,1804141766,4848928072,4055736368,343086330,7307932368,712013431,320773996,70733842,409703211,2206120908,3384087265,5818047520,56987125,1384727934,962491185,2999725614,7574379840,2289126288,576176298,380057866,7074412668,4427676468,1851441962,900747731,859043908,1022536124,4843834450,4923737784,739245469,288686159,819414658,5581990608,2079464292,1526490950,191058630,2809098754,764215005,1281612872,3974009392,2999745456,1726608635,3653821045,6104940030,926530098,2574320928,4678951128,877920240,7492029016,526032454,3635478434,2311867365,1187095842,4603123400,121650532,3491248176,2154234336,1174699366,64490536,6465769731,7945539552,1129376544,1943720356,2048258655,1388964608,3737747145,1994787260,1189964736,7837103896,20220908,1886098470,115263954,2863455680,7561884816,1863754986,7277255640,197175252,4403056014,5983938528,2321310324,425166944,835363287,2290731121,1310619060,4440161887,5558977620,729431609,1728395816,1391196068,8571785004,2800676718,1229890950,2232334510,425374074,1147654542,5539250829,1322900474,1190301633,4586313195,3875133945,3874064712,2145750312,4007525620,3522026332,1603623726,2090318896,2542248858,1681089010,1455039285,1802035326,58195172,3007784570,3122690920,168656304,4781883033,4705466104,7670344662,3850311400,638116911,2143395045,3039529044,1734370254,4815425526,1719668950,3623435785,1404871402,3302746496,1471481606,5879019213,2521136952,1966729026,5871733680,502086565,4339068510,326278582,1452626160,1261247064,2465107005,4603499388,87376879,41809422,981557200,623477978,1190364526,1140254072,2436592155,4933885782,121971690,5092581392,4601952468,1895393864,966384445,2328495463,217390680,752457404,1519824054,1366884364,973615349,964275611,643025632,546426332,3956143590,687675294,1197492296,1522081784,4984180488,2287704576,88687203,6900700860,5990175210,638587720,4785006955,4940972883,4153990410,4679948168,241132752,1405254432,796497269,2559477460,349731303,2125389477,1363661382,662870127,1156571946,5382085268,1431496128,4824928096,474614204,638214784,940491314,708392512,5200531536,954404702,4394105526,1941077956,3247203300,4454789792,955301191,807739038,3389291160,6130135064,2344318291,414255947,2445915760,2602033966,3523983597,103613884,913001262,3753356592,4564386063,2561077362,422305110,780007770,2205139071,276894204,613545063,1663274864,7503623376,1153850859,3506473944,840203415,1981083285,756811025,3901886172,862981458,3680575380,8932972185,947565925,2103966255,1036127460,3693891987,728765280,1930036260,3588132537,752442507,2665968729,1673766010,1411686072,3922574705,731249774,5208263662,1632302690,496143684,6620164592,9487978,6043265599,4788774115,2276369334,419302050,4013201880,769829925,116561888,2102250444,3390937620,1401266302,4433347552,39398030,933407960,3534095826,2415928833,2937704910,6974273664,160409393,1530244704,6430090221,4673476045,7844703471,2336373018,2685426635,2666102103,963443256,5517705906,4246732610,2008560505,250875608,600491648,50175025,1922453582,1066323084,2303797390,1650099295,3092226072,3090786315,1367577888,4559378236,2804112856,263565288,617102610,1715389114,4693346280,771403130,3825165368,126166840,183696920,3163975204,6902301294,5465824776,3788459380,1707882222,1440692464,6272219436,1265346746,8432096562,3091770572,1251003844,1286315940,2525431594,5747969694,3831611660,2239017464,1192730405,6247436832,2866883832,267719685,1370136516,2326426816,1577603042,3425748320,2637406935,1175925392,66011772,2911540175,691235162,142096988,6181869123,344374200,297639762,1868235582,434999591,3516155916,4068686930,4266935454,1710545039,8998615296,2991037038,4290358954,5617755702,432884395,581063796,1950584118,1017445674,2657584002,944779967,3597384836,5470826361,874409136,1731448269,6679476024,597237870,96186624,1948728900,3697118590,5543563290,1305513081,2142690207,842965112,85673653,886751273,2507552600,609819000,522640462,1680901350,740644212,663135978,2699877183,3285662891,1134852064,8451458721,1687263286,171909521,7626052602,1429491207,1824633378,1465556372,98614548,431568203,1504922964,4556113260,775268704,4714086024,802585284,2881182078,553640454,568166076,407069413,3677093048,556380926,793016965,4019475348,597766592,4390399055,4572565908,3048010756,2308250908,2164825257,4715206200,973233942,2946884280,383771705,449788240,4854220728,5315305600,1222332115,1485765552,3998008712,7112468457,1275593592,5824386576,761964216,4627387695,2390410836,986680158,1676480644,402393888,1068794931,796495747,931271951,3261404165,598166124,1990248296,137224980,4845186072,2181850202,152674054,1866224920,4560181170,1313908794,772192137,193307152,1046934664,628504548,2364115626,4286329530,739452535,4194406206,2912489072,1087916967,2098273723,3297356880,2374909028,2760062852,2455084008,828545613,160332384,188901342,795446037,2249540496,6975745776,2398879768,598642206,2750992266,1422658446,444287748,216594824,1795427774,701285274,566937124,752113970,2234063142,1257444485,1642495684,1877485230,2740819092,431611537,6197400639,1698537207,672738426,3085635704,2645686448,3911275494,565488696,3614918880,4312773250,904490724,1792213656,432048046,176719138,3070615164,945557326,3181859512,2526136593,1504249734,997345516,2591984148,1087723976,178067687,55850342,1797215502,1201587510,3482403100,1978400995,5380894043,11111085,745810984,1659966280,2435244112,3849886230,7805437592,2566941381,5455717002,1142146072,401481396,107275880,1273920804,1042177204,3234750561,3398674228,2899800632,454259655,342386690,360582778,3163164896,3336805200,3951427942,3440708650,2914686632,1228743808,4335901283,2561797134,6387368992,922339109,1120936243,2703533472,1584028680,37285104,4157966477,225725292,4231245064,3736279550,1806544710,5159154552,6360428584,3312306612,57252500,630503337,4196941658,5112124281,2340918831,3892066304,3469915746,2623562104,1238004446,3611233962,3274716532,1551704515,3034775628,3572384646,2084251001,1709617846,1557499714,760483548,1297898700,1733259234,671414333,1072755114,3532497868,804901955,803836431,1480222172,6501156865,966118814,772372880,4050560205,255746152,1089881877,583505506,2245104736,4969345725,3602220834,2851196636,725493759,1208384912,312378283,4605103780,1601228076,324332727,6539652546,1623620076,2392513459,424381699,4699179440,1702524484,6026248752,2699420091,577696422,4744999462,7304308533,6859171539,7430838232,1048931876,2538396903,43241041,1053326844,3408778390,711625920,6788768040,5616988888,1714694130,244872810,1327797148,2842048100,6767259957,1875559088,5814390656,3688249908,3397480600,2587704240,1490814784,1508007396,1625919692,999820632,140792015,5092564253,7700913528,302592144,2174029968,5082507036,4358645181,1939150768,451347338,531962639,1693215648,4980219594,1821350425,6484782656,2828489490,4229404200,2244399241,1670793112,1319613262,5229481878,1172168816,6935614770,5347627411,1511911638,2027051982,6394784376,640661164,4071298030,1136616615,304206747,1323891247,1946727357,15569334,3363229785,173216292,3256782633,1737788746,7712084772,2914833676,437959830,88686268,2078023881,751286740,3071418072,2740015825,5489166150,2864972904,5870587806,2910285141,499668344,725663197,164998248,468043240,3977915192,2192148080,3427779609,683246680,412461245,3335825715,2306509773,141014308,4188364950,1225639340,4922301240,2302054578,3483701053,2571633765,1387217370,1784684154,195055616,581073444,580129620,890543516,7153776261,1793682772,354229752,7950325338,975693530,6207689271,5471351508,2129803944,219915481,6984955523,1002614706,2541416910,3377562354,6600176496,3501840000,4141372403,7343765224,491235348,2261314132,119756952,2039963124,4685199006,499387668,4419855735,8292101643,5980855158,533433833,332144300,1947299232,4856518191,4816835225,4395743575,3035859428,146631120,680159944,8848971900,1186565672,2207469772,2117541185,3873982648,607366890,6277846442,999475274,1180334496,650955222,3764137360,630391630,5381957147,711734256,856039500,3576784608,4824824864,420225402,954585677,5209190511,22309725,1006778556,2737739263,1797084200,1957847604,3760568371,2276585598,5903666264,3101265660,2476306449,1314753230,1866479810,250268478,486727910,1903407316,1055063373,833873390,1555218496,1761805509,1439515680,2865249845,1755565840,2726195958,3860727367,310497292,982260249,439375459,6025615680,2043576884,899519150,4373036975,1813639904,1074128721,5692124556,1036293906,1084298005,1408208358,5268114192,2236890656,397693587,3803481063,3029730768,4726780005,424618264,6593273127,2406403734,2185044560,6819990426,4710097116,4696501894,1991934148,2656342370,3589420919,1781366084,678162540,735394102,8499205233,273196506,4467636688,137788460,704555144,1473145592,326637445,7662599288,3512916216,254755284,4473840623,3882660600,2030111184,4888068472,88186599,6682552712,6940262553,2464254543,1043362293,2936659156,2840827296,1745562069,2437794828,3266031260,2881260630,4382720770,2579078630,1752249170,703889824,2664762888,2021133128,601933372,5681360400,2921312368,1041833456,5873173663,4769309776,7401269472,5345213172,7339920318,267248124,81355737,3310979500,1584310788,2772535308,405282024,264041690,543967265,2458337742,1906368219,4086767741,537708808,965743366,1884022252,123341539,3097667180,676876057,4138601670,2173392277,1437959716,1788283686,4528695804,2616277950,3566547072,73295640,2747731556,2030625700,2266615240,590625693,3740214260,202574908,3761013285,1924670282,344624427,3806507450,1374901012,5799028104,614018880,1573001024,1314015396,2320594455,435185494,667085185,1814487545,4487766990,2731434234,1199469262,4515074410,2062420984,3615532038,3255346098,2605183575,1125686080,1013215774,6374612184,4921349400,4385062215,2339022876,260822188,6123669201,2692455157,1731452632,4595725869,1879666233,3573036400,933908008,1982380425,3498215904,1112399580,2019890056,6106467045,743584765,580949736,4138310105,989092710,4226066775,249435945,1507885945,5111778672,1179893096,4348688859,3140759520,32611752,223801472,3023713068,4884482660,950693949,797539650,718401051,2529698216,3211664130,3154592460,2275065279,942795664,5965543344,12122084,1639226410,255683675,31565671,931819419,4936406571,4360342895,5413997448,737694664,3522932322,2207971490,4498781365,88873930,2726402824,2388418644,1286277926,284987740,555916200,4228871227,33647370,886335645,7391868228,6685231086,7415334747,108899310,1250824131,49705390,5729770182,6905522512,5437142142,1596786504,3300699536,2266805424,1092263198,2343174438,885485561,1231655370,184385406,444108408,36819965,2215620762,6756359407,3376969368,3070435824,4532160448,8312606361,2430008394,4858926690,1234243486,6062268716,72795850,1484907410,2475859992,2095493793,5480925280,564100126,4441804096,1573214892,5594637468,1147924332,3667573782,1939202172,8387164728,6033527721,3373871116,1264967748,4083139548,3378314110,7092809104,1331631276,3591632416,7918905440,3541119072,1247459118,3999668440,268781748,630668064,2599755123,5102174184,124878306,1456019160,1362127872,1101010906,5432095634,60324826,8744009850,627448075,138818391,2556048464,217858928,826579104,4025723032,2938210220,3449394972,4808846965,1745704734,3433465788,1983176478,922910544,802781700,6170948672,3199822524,1755565855,5524521191,377469408,4734716766,6650874090,1050501172,434112708,566978751,86460406,2071686201,1046259342,1567855420,678106510,2397401985,5449933496,29085436,7502469920,7267741065,122283338,1811736028,6807795354,3649275545,1032179124,4596635515,470088830,1371999880,524954705,7454707600,3897043644,6168919312,2535149160,2084078645,3426513180,4858546154,182032379,3149515736,8220822633,2724563144,3054162564,602962767,4942960500,424320995,3156688825,952944174,2462859424,3014129545,347270154,4073974984,941133196,1304839683,165181740,4988452854,1770988278,6990276488,5895958854,4164056292,3079059372,2094181668,6848763957,1815658725,584021487,31328152,4390271082,3463494612,6304012875,103119144,3379414428,3480307662,4843908513,889383564,2803870,272428624,4458275750,228654783,1842158448,1478447080,154929565,190533795,6983029088,1604486680,911114378,5770014292,4785609215,856718187,570092641,2061171364,3386474780,2604948321,1006882803,1693357740,3541366775,864076386,294726900,5418833820,1831955835,201708640,983990223,340889388,2411535072,1845831564,905196270,1857932274,2590046104,3135587956,1655735935,1792093416,431432074,261852485,3063958902,329002180,2603296416,3502947300,280414134,1677612492,5856900512,2105192346,2563673406,184786256,1094983038,1897291890,1815534774,1500868358,3678903860,2290367646,6850593092,91258198,875893753,6027632709,3259260424,6380304483,237878641,3498731072,2972972672,1150006234,921654633,1712492193,3006612408,433230058,2452354281,65959231,6241667208,248414256,5500729496,314388360,3568897790,283843782,34770370,165858782,822299092,4767133851,581563898,1148174904,2581522965,1729094241,231774723,3457348212,1942164572,6936036732,482326586,972075879,6248562537,2852113599,457181589,157017050,1015421022,1254623823,143186149,6647951702,2975364963,771991668,1325076515,18599898,4246597053,7994044296,2590700028,1594186614,1388732136,1373672907,521585477,3224816028,840304647,3345245271,2783669245,2682743568,18099368,1851885584,262836098,1830444040,2265544632,1143047382,4736813478,678174006,1419880974,4035024460,1971097380,1031717070,1845242408,868353552,862594032,4527560160,6703521516,760258670,276706727,2496682719,3408336114,205772988,3070137510,1683442340,2072575728,2043893619,319039692,6929516559,269771524,922761504,6811213969,8596740672,2469410912,668997120,977867502,1585570384,1137255262,1948381865,810033649,2172966805,1866867621,93457520,3987370068,2807726580,549975913,2616847824,997981168,2931991800,2140577328,5272083496,4419541966,5285497216,6276055928,611526678,3786530616,1592625340,8259086205,3566518065,2918480552,5389107021,1922170838,751102935,4211857008,5029265528,1862914936,5689654173,2089586337,182747028,47024394,4734806356,5367191620,1231859226,987581136,3474788226,5380963707,911041724,1723803528,118641339,2399456484,1053107658,3948866814,346354122,1204863939,1996901550,1800093772,4597732380,3794535684,5348766976,28013904,5294086408,5589600600,1428239064,7635890466,3318391993,4077242561,851752452,1526332844,3594949782,2656311375,4266644074,735650994,1045340547,794417592,836201420,6170635928,1245771093,1862785728,218447831,2631802635,765190484,1736793768,3124725505,6983497440,2775103995,4254262290,3372820722,1791262544,3022386258,579584579,4028196473,2605709050,2108556752,4473957755,2765926760,2176552025,6177416823,2960215680,655474145,453867562,1223197656,375045527,4962140748,8287391520,2448604041,3960195456,3362899424,3279561012,3907287738,1318532640,567376641,342502950,1857293114,2540462225,92034078,4796876672,1070787543,2941568995,431929614,3668420852,547525816,2372490243,5295855544,1186525610,470000598,3845008812,411083862,4430387325,2621137264,550448038,5371857379,4311171924,632661098,2457113324,1843439823,3809393814,1763718156,1384257846,5774010702,1002190538,5933256056,1860563080,1800935216,4119488451,7341098283,94210264,8686199439,2301670017,2987266373,557715576,581460066,1543820856,5226480658,338775760,1842644520,2202615792,2466499740,6364118112,4488032512,122005611,437686558,5877836020,604964284,3720404745,1239259515,3610351824,4036344810,2651589828,5468003934,2763910345,1573474040,5117088672,1853728540,1070065368,1146070712,635072508,431888032,1643512750,34697253,8744542389,2464657221,568993373,3313895031,3171452748,7943737617,1129411144,2819093325,2918378538,2412956853,581275323,1368998589,122204350,1576845972,2400150690,3911776616,2344568301,4531364271,997592150,6396554844,1043534894,4812316818,197061669,3234168833,2299822088,2422155920,1496414202,1038513762,1440664204,1695649821,1774354731,5210993744,4651789600,793535796,824764128,2976143970,749676735,6430486412,71526388,5226938780,4878776700,5661822523,1998003010,124013278,785850132,2425505800,2126005365,2789172232,1384606595,5197795295,591161670,2110420088,2566602592,159798922,6437235537,4564257588,1198342408,146092446,254945088,1410190300,956036160,1881336681,1742116128,5596414332,5096221431,6043195641,1737464964,1133430562,2326715951,1400000166,201626610,3942030795,2154492860,1978472856,599950650,5446879494,1483251259,1425709050,7447392024,740051902,7643412171,7654598280,754399350,678045456,2265898496,2116832304,2325353716,167395450,348875354,633091896,2941413440,2011945184,7157824240,1153708425,2186272188,477563261,7112530912,54276822,2010297370,747268845,3001414084,3304326725,5161486830,237544116,382481023,1233011045,3755656045,4913764440,352808481,447965597,1949338821,1788691620,212614752,1035584404,4411785288,353912721,461826617,1776835215,8695456344,945797170,2787958434,2299556592,3422653500,873430529,3900237610,747979330,469894380,844301727,735877600,777677883,5577226218,428662304,4991205537,4952944400,4759794990,2593987722,744504372,1827533428,1446254860,3752990125,1077751688,4570953884,610333161,644724822,153618606,1846163262,2149980021,3718624784,4377222136,328979924,7562787318,2703233838,4017537155,1286384945,1313760237,2425937148,1633989186,5908996026,5021858198,403921190,1410251234,8646996888,2224968957,345762552,3831621472,2695593099,8736469335,5240612104,333665679,1057177600,6107739120,8395884531,3090723104,5472550656,1843582105,5129243958,4250644716,3373231352,6015186072,3544150176,2946845904,1886698793,4984055065,964770784,5892990864,4929630762,2794882610,566987646,4263171612,2465967847,6233084459,7072793512,681891051,413372835,1874805201,508843752,771950187,732985132,888762991,859352856,1494643092,2413279644,2562531760,5415898026,3495844504,82733874,4332491968,3719868540,1388072882,245461616,488474650,615172220,5446590810,7718082138,993136066,4805618856,3253822680,958129794,52680944,307859010,354574145,3355370442,1769135190,862584330,8470078623,604476269,6456162960,3557437408,1836877930,689412204,2764096360,616784970,2142690336,450425500,2852438968,1549668856,842831985,647297260,5710711734,4738759140,5482540616,2249065368,87078070,3631319848,1736946908,6681799,2525827974,3079082447,3861980124,1632486752,4482248760,297708110,1579001470,2076716776,1791417084,3183984188,978776428,200619202,5497390182,1586241632,223708331,369148689,2375613331,3510163209,4841103150,4343544422,4209116820,198716048,7615884704,2665724000,3878533985,3810966131,165902805,5844747162,915684787,1034443396,1758289855,7764023709,2523527750,3466719954,7790956848,1602452466,1684335696,4898404088,3328599125,5726397696,516646168,619969749,54060960,545554548,3537860580,503250564,3071659095,786763447,5087671458,1763307080,1326959208,6693618435,2237641352,2558604615,2321242364,4063010819,773668027,1906187356,6141464586,5026239774,2505514570,3873589494,662369294,1685353590,2287607532,255019200,836908110,1000997620,1942213812,665123060,125741840,305732601,1976650512,3219241932,5489435034,1387754096,4392619026,541400310,133103682,1507017648,1051931044,3392136305,738159406,1476622956,3106327347,3056982873,4960003986,3976771374,628589708,1257781434,4830682155,1548153936,5484997506,415967596,3116327456,4538324050,4387575564,4347120953,1103650902,2398624990,4229473955,1397194809,3255651186,57544456,3489122454,1834966272,2984098011,830651605,1902494032,1428354070,818306187,5555517359,3963974400,997744735,2398550450,1712313711,593714303,618635544,3128892332,136260976,6342892380,2988995954,1754291250,3676790520,670098415,1684649550,3059511600,744853652,2135349234,6620078941,565949958,1110503292,1735993090,163329996,2124055220,379078116,6627654887,226610946,7079141128,1507469206,1366053872,341515005,2465821137,4984136232,932856474,505714680,2929184475,2028100776,4068284808,2557657089,1645994497,133680713,2231852228,2234028180,2143365231,3163294772,124054144,2420212372,2149559935,1959975774,710895541,1700908762,1717216416,571771743,2726768224,474858140,237085880,6337284390,3163998280,133335027,1358797391,1620872484,6095562174,793518600,1621158454,949260807,112781616,445132972,2693476385,3434813712,4930855195,123153628,3406330866,2984527120,622278102,3075117864,2606239896,545778128,431642190,6214317522,1342917378,881627165,3880888370,2417996871,5466075075,171081855,5781089940,7226795312,303243967,2011722855,3213464440,54583017,5945113806,8963595819,1001015874,3351685510,3618995679,1735640724,23312100,722359810,536353914,4833462440,6897524283,1896510535,2152427235,569272819,255287280,5064994320,2609557840,1793634882,5488432587,2122622313,478724185,4533605135,2745606645,139117432,4621484592,223745850,3215437288,4693315459,3332192640,1971530435,793207476,1789545921,813199470,3076501985,2897375895,1916516536,4621424514,6522992910,94473281,261015756,622564293,73642431,5212773477,219177696,1064565582,4894625754,1409577936,1964220048,2225781341,2862208391,2037751712,2760340869,7973341353,5304517122,2290188384,1900413142,2476198809,2596573458,7447876000,3521395364,13874676,5583302606,5972215548,992723575,852862293,6866354576,3911881673,3860297928,516201788,6548813721,475952385,2767209084,2349744216,2193997158,1169111296,4388404986,4607782935,315254220,6007308132,737832375,475164451,5556195064,7859693672,3485075000,1442542887,571544583,2420542431,604723599,2015955699,170437230,915694748,5910257408,3280694934,1706603452,1231926798,630157500,140508129,7433563212,1429221948,3659847807,768274092,1411343940,3542404435,348954162,3046306950,760303752,773202471,1888491852,3943524249,4981587465,608104638,858081962,1852059774,2320660202,2913172165,5976088716,60134310,1648101993,1142990338,1731327552,714638847,2380473876,8450888310,1389516360,1485923084,15255394,554047876,370674138,947273264,2433710598,1998415636,5266155132,108020436,2268731448,291887936,989625232,1916158776,3223803495,7520878413,306128504,6956348140,341680402,800551820,2613214330,621484891,3189137716,296070884,6952571437,2397495,654548391,5880502251,5288506254,6595360008,781960086,3081533765,5314008108,1359350515,606299884,4795868034,621809640,632331203,1866967776,1965488749,290731022,460674956,867810531,1394157216,2188337165,535668753,2702823545,566964708,772252422,5855540808,5368385256,89185616,1444538282,1466276990,1095241770,1573326016,2799113418,1146560416,6400177576,749873865,4316436089,2884226700,1526905734,2174735190,8952890166,2482818903,3255903584,2033116947,1270203960,1297172112,4503692545,2496574710,868552968,988898308,3930219750,2637679239,650844672,164126036,7563599568,759751516,3604512770,1170538995,2005612959,5415810618,1365141370,6985162723,3587948160,6123838525,690781533,4443543090,794497504,2261280095,891228032,3263397212,5144439006,601706202,5473581640,1306084682,4772299175,3319727464,970781897,653685489,4037335056,969723200,4471581485,771545345,1842811368,7125493200,63459614,5381714720,633689466,1747704768,50269529,2854903944,5610342520,212261333,4427382875,2869909740,854671002,4005625260,8816597190,1307958327,267070792,725190284,6458141544,1660144024,1855051762,995905267,2618330295,5624110953,721539988,3959254602,822833612,645340896,1407857628,6453925290,1869630864,4103652553,2971893897,1150915242,6800747864,2511164547,1976722968,3507439110,2904332590,324581715,1419287408,1529056956,6354550576,2188453096,3497820596,8350322490,3357568756,964886890,210437008,569141972,934533705,2723662179,1204325220,6831745970,5394492216,1295389464,1156693953,578876306,2942071842,6067735336,922755138,2017159404,1281013560,995012901,5274347448,826401851,4084245352,2918663439,4551396678,657799065,118061325,7594750494,369668061,397340910,3767007600,1654837143,7891042808,3176313224,1697578900,1591401290,1636089484,686901516,1325180924,5237344308,185395325,3284655143,345138970,359597060,629721248,5661104640,728204298,408268936,4125077584,499033640,3482745480,280178684,5779912784,99980429,3720972680,5107243664,2763491106,56401140,903999192,51724679,6420146373,1188108402,1718181068,1297106769,5479395400,5178290517,2276792660,131725984,1080071654,6127434018,237710040,4161549591,935506600,728069055,361314504,1525358985,7344688536,50023057,1773179964,3154114374,3776678835,3115218609,1567123400,7286141224,858121473,995945510,2689855158,1598345872,164269700,6183243600,604260648,3240696065,3687983484,4948642713,2583355524,4666389265,39588390,806585688,5121445072,519133661,645999245,5090331648,2596966731,963638172,405999420,7998297246,51130208,570645344,2565952989,1021985860,1297281670,1766418796,1288223754,4641152580,5626832992,318576026,228774608,8039152,2718105432,1459375175,6193828424,2327186526,151055860,2153692815,127174327,1525580157,6847938009,1535179611,1794185586,1137022828,1300918596,2242769250,5908536216,1625333410,1478397516,50816953,1173163560,866355664,1295065728,4898462760,2469642245,1955744070,3033378677,3838736555,2910703296,3899673090,217708385,229287485,260434676,676109046,1777892744,4463266932,188282595,3923584500,687219864,823635128,2373296496,3915221553,2170162080,686618828,1476903488,901612607,5847613494,2860886232,2521768797,7322432992,751134916,111406185,860827410,5555283198,3733983404,545357437,5722809169,3819074132,1342739435,1485132,4396909980,848385974,5831073756,2099979608,323799616,590516272,1163179266,2556688510,3637999883,2664944205,673397684,1450211044,2681816875,897647228,4255231518,4964784400,552666776,1835630982,174699633,2316645832,785991288,2467815558,458246613,1243077555,574199790,2804420325,2885112902,144851600,787544200,350353030,1965965616,1044022230,763853438,652772128,115004876,789273960,278344230,6698217064,387467913,3514653774,357996504,1840887575,814105224,921472384,5995092456,3842326632,3268350042,625588176,410226800,4539459432,2664599256,850409907,2993970180,1064739602,7366958904,1268074116,3783257465,3495057112,56487945,5299627878,705345086,1094861556,94676750,3712731156,1452519810,793482741,1247635702,78995937,416971045,4876707630,976908239,4274892480,3052293688,3662439556,382548987,106644734,6154293784,1777417362,168300462,490547540,3259472670,3372536391,5914112337,598087268,652975418,2396579549,1871820615,7934751432,473120136,1319412696,3559162575,3555804342,516701358,1137959122,1637532624,330463607,1846141428,3600688565,408630548,1049882193,506708235,1392208412,3445065243,5461030608,752879704,4184215660,2210829045,543922892,847574716,1662946128,5545864904,1839333807,142120597,65236686,59699859,903309090,4955400982,1536611310,1616547112,194289024,890926533,1696187108,3293594080,3917993304,2285635506,3526659288,2764768360,3699927200,1846804092,1402856868,10260995,784152756,620863431,117612353,29853783,51650628,393814342,2083888344,3954110797,481657095,5730082827,1028413424,1605452775,2486523495,6251945644,8412778296,690801538,6896905995,516892035,2716016022,7987725405,4546379430,2229811548,3312457074,2811159860,573057748,196162295,2764531785,3996304590,1850235184,3739615452,677050676,2896886676,3274924024,1692968308,4368444160,720702929,386725096,41869748,300310409,5990378472,2190931920,2923208288,6946600456,1295223832,1508396309,6173747184,4174404112,3848380182,996180080,913816992,6959209284,2633353206,702495664,3196975580,1276785336,7143530784,2995359732,792903020,6643222074,5308976784,341571676,863795016,6943296248,318840426,2938725955,4630081270,2723846550,587197008,965670833,3654049656,3641213270,6224206933,8057957913,1586307572,2212111500,127738156,2474645424,1936539465,2021749299,105400239,4585108752,5378977698,7395229936,182911384,395586966,4733309457,688823795,1644761664,1559517799,1532750590,995045397,6191613712,4397122765,1240194510,2670273102,719451149,96477285,4310177436,1558199558,6347797984,177925057,739494759,1509274436,318267530,7225152786,2798668104,5060859633,6926147760,2322161703,2614273827,1340529058,3788239189,269873387,5346849930,2414721744,544054293,627049161,1487403000,4712272485,3578719734,5797228976,930956360,2237241307,4027356685,58584479,858323672,818879971,3537823012,4456424096,969419138,3925774168,854000355,1573134212,1265830312,352584348,1313019722,84845457,6386063614,1744523832,2202402140,2597601580,3146441967,2726500158,2731735368,186144998,420181683,542793184,2407824531,5165441152,2882919699,5692736916,1688970808,542729245,680243508,2726386285,3184281375,3649505075,4624590912,2012599264,2717287890,1197787625,356698295,824100652,1169600397,4720239432,292006836,6846209184,1026534520,1342306166,5666470160,3302781540,3319011493,1818281886,3513009699,758426998,330607344,8986499811,2580511268,6081766960,376032854,1445126928,4956849100,525372537,2521885896,1838940957,3309734392,1042446290,1269909260,3832376772,2187737345,1029353896,4221717648,4813298829,6668110827,1956105270,1060084059,1241317048,349317774,1830868992,248635867,719312555,741916254,1187408508,4969154915,1653935985,2115547989,381504116,3454694110,1359631492,370121216,4249207719,5011396992,6983790856,3144942112,115734919,2931143922,3282084660,2862018183,21974152,21725620,3445361296,409178635,4471604291,6503842848,691385166,2756468897,2714669658,1442682245,1304516340,3853205754,4292112681,7356898611,2954725046,777485736,4024163682,350964720,2023746840,2882116746,165227504,3997695228,887410311,231120825,881446818,1843265733,367144379,2209998693,580572180,2937058521,119299576,829052294,2903120794,3103154010,1303681886,2546655405,1070665756,5883226223,2385007920,524614007,1890558790,6925102048,2384142733,1738156240,590281059,212939955,2390589345,2034922161,593942768,2784201054,130787828,109135689,3562517150,2580473028,2296890972,1625001530,949929728,255148530,4595255994,982614224,2205394164,3658139184,933231829,1835525924,2977604156,1404997798,3975070936,3342395581,2174092080,5492124783,269105718,2741744019,128643974,3005425704,275482356,1666423088,1682501168,474101439,5566015314,3787212924,7197004048,1995890670,135313464,745524536,2055829716,1748765976,3205637632,5965631248,2458169352,6690868030,4342600026,1985674880,4151132500,331082551,3896460274,67765762,2485529562,953993040,2656679224,2239936391,1371012924,1662719670,866117658,4553744310,3522751836,3867695600,4695623586,2673234834,4969114056,425383482,2364970090,684346652,316978202,2080504824,6020712464,2272130112,776715378,6990843432,209964579,1779433494,57313305,1315511847,2700366360,2303962392,4560922247,335693832,2409386485,5419377404,482639880,381176959,412377213,226762798,6566855760,2847757332,1661959902,29004904,3629397108,93640464,1395780704,681692946,1774892364,4355071707,658081413,359290417,798642966,1249667090,5348915832,1168021648,3140485011,84997076,1017209546,2234355348,1880361890,1461376720,1623691314,779696766,1112126754,2397084332,5637026760,465307666,3412916720,5823126096,1931179224,1225223424,248377093,6387085048,3432990648,1225691270,697692584,1383516134,55263214,74642608,4073321091,2486559976,6402471000,1230459042,3651513464,3939625197,2853379662,666639000,898277765,317142045,153425816,401392020,2266866480,3029719200,3690958704,4190297405,1368853260,3637598368,4578665700,279235663,2742124042,2297661790,384949424,1819137240,7576927808,6169863518,392182188,351780883,7182970272,859648961,3310052416,3205816360,391165837,552541593,2529736604,6145812596,534075978,926024984,965322976,469431760,286914376,1940443026,179423688,4730225865,5853348942,1350198738,282594800,188461240,4289598112,4091457624,577563080,364026690,1917564030,3201643188,952372242,24605512,158059839,1937826694,5857608366,3737295776,603333649,7220482299,1627745772,4103657625,589736359,5449749207,2531224744,3440262232,2505511336,1638217266,8505652014,4878802386,5383663304,2790862636,118300903,463622316,2390028441,1561080438,4188797640,1323715176,365254300,860124423,457085464,639503636,200540919,4068138352,235240941,1579171419,681060029,8957211417,5696960801,5340678048,471684385,1878714882,235022548,4485022160,1487837998,519014688,120210558,1543108116,3634699649,609031314,1340008497,5916484147,1722725816,4533204025,3812056992,8286958836,4407524892,7747032672,2603001774,225081904,2709712452,1143416750,5851221888,3946623534,2310701045,3733713280,3737343012,2299050464,222590625,7233425343,551399656,6583501224,7139082105,1107596961,556011036,2846524072,719990210,6731957152,996055476,920607884,573207852,801627574,3589706540,5553263184,262878161,86706762,1191866022,253286514,124738147,2256851718,468901936,3803061468,4370607552,1045477293,2537818296,5990131251,3768874324,2681302212,1594334525,998237904,2507155659,3804766722,4871411958,81109980,2488205476,7333092000,6852350106,7306045360,5291144874,5107631292,434611240,759990141,714641145,807475405,567580652,3610420848,736681330,1453396072,2223483417,2840948643,3465183336,7564279400,2632683910,1038748266,4692597222,133593630,184137180,3757052760,636612507,139622253,2629137048,2782537456,3036035496,2184322629,2086558160,2067028632,6762270048,1701251932,866905137,2132653749,1001687382,5630749978,7467215312,6893067177,1960649088,2271177369,2079686970,91383267,1638572868,326339592,1977060240,941165052,3598189896,1458366484,753641796,893937326,4990238616,2977177314,1645610566,2056536136,148513563,1067696952,401775522,6133791400,519878936,188882596,695581604,423962565,4022822727,4235805282,6388105232,3011671146,2512505424,1226045646,1601986130,829595365,6386522704,3359982888,3428570672,1894513986,2770222584,6343660785,2426964024,2402938980,5462822844,363481695,2310547929,1043547631,713749748,7168558448,3318379800,1226831400,2439279288,7889643344,4190862746,28325800,1119986324,5204127960,5762507534,190050376,1917670089,2836141928,264964892,3550199245,3845572283,1926005952,1797092234,5980630600,3576989975,856295348,4138066104,5367603966,1943594335,2195118456,2502192408,786575917,4494388344,991557798,958127871,690539055,355328574,8759824,6684370856,1361706208,735999532,3722853846,502935920,5954204940,2160967788,1580836545,2638106037,1347383088,2281368772,4237556032,6457515407,6644060808,4068435608,2092933542,1544881536,794658249,411497938,1826405004,2417641209,2223368912,720263830,719941750,1410866379,945809930,1042868785,3498942560,57557158,470863544,60316004,5397695590,612084710,1457691711,3390031000,914602373,513319926,482372692,2425566066,32237646,2771742524,108620442,6525465032,5070736008,5303885592,2469813925,337936662,766641846,1084923924,474955857,4925680914,881719878,191476761,6699869400,822483504,874474045,2405739360,2590585615,2199650248,2414969856,4134984616,645906972,1670915862,2427479556,1292062908,1022065192,3423107107,2354759235,2552641290,2513253844,3513470376,2702903798,164466368,435822252,3476195550,1429843833,554743098,7742143640,680029326,5455860366,7982521452,5950696698,4583913208,7545037905,5897199472,1499613356,7009446618,6874239752,2714150820,5363642137,1195345435,8021638017,411842450,125764728,7691081841,1212958225,438540888,777607356,2893529954,3941395220,1382373610,71275148,2435047893,821147496,1618578884,2773664154,4381439025,3075527972,664700418,2077065288,3707542680,1602762134,1190740248,1064361246,6578183871,6032942334,5240902734,3016241944,5189564412,88997412,378888872,3547641664,1218008565,226593312,545375940,1975882002,8208529110,5101043895,3276879635,2363552784,1357696895,810301896,7026564123,306101896,5940579652,76074918,6038426611,397209600,1695965712,3110181660,591482814,6403990671,4271112968,2894622024,635922750,992052891,1854159552,5325197862,942133008,2854701390,2301881106,8294903991,368723520,1133310812,961423624,2613796843,1470436995,1918504760,5825728698,87840693,741103868,7005954936,5021772343,64428070,1111357182,4496786357,975471620,4422361448,650689611,558898011,3097240460,2811767532,4948829040,9234736,705927356,3384702488,837809730,830155164,3490758693,2311272075,1579806522,6216939837,4408702690,93008755,2778508904,8437593951,2293415079,453167090,2568664238,622561909,563853140,415284703,440713596,4347565590,1303120200,487564047,2369675294,647154294,2362687686,4561308995,3703942088,2420684991,6507036144,324758455,1353896033,1086600112,1479544440,314476908,6853825433,2877648174,1015706162,692637992,1153602625,1441707699,593627643,2571256992,26269385,1734902530,2395735092,2498838964,6028516056,229221663,22521045,459200783,152707196,764701461,1482142478,872848913,4658693940,5585366864,3337760258,1042681100,998876806,3338237970,812681451,736095128,3578905267,68265426,461484689,2530531053,4348843877,146080892,381041550,1461339054,1296513993,3385954130,6652701328,64636673,1308369843,3879449790,911850428,8088995619,4463089535,2157560676,1975440677,3735306134,4251186130,3580264194,4097353670,1645747194,6610342311,2144963943,6409015543,2607577600,91917456,828325296,1114808040,2963282520,578116434,3141658795,2678183760,5118050770,5843726574,1330327194,586880047,6542783766,3594028720,5527011368,1100471049,1761079728,349623749,1761309609,161339451,265849530,859632736,899544264,2996855015,2173527648,3438187865,698270496,276429204,2947066056,4982015862,1594184600,6720038368,689658054,2548643454,703260370,84342848,1263176285,2320380906,2115705711,4332784290,4171032180,2216557503,896193576,1392803288,1817823205,366731962,250074249,1836229220,2130117392,3630255363,784353804,3307707980,2640877248,4361190084,352962528,523360224,341778730,2132859892,3892979168,2773803399,884336754,2986787586,2518345770,703177491,213249968,2956349319,1736085522,719563096,5363833240,3479028632,2553070800,3550606638,330359994,3643608912,7391504070,61143696,430427372,358047060,3606505784,6208496154,1485502264,431448513,614872104,2765068902,4185615375,3385649736,526291030,2068690536,1077606606,1128141152,1456041489,1824949233,663380600,955351600,507197418,6552291632,1653325790,3245280906,1768448880,5993451163,4979411100,4906196847,7623126512,665982321,1064359184,6271647711,3839367932,1448305356,42137240,943016307,6373462888,3875440045,6071723244,2908323175,344854336,5369795100,1955558934,1352574212,3725773163,680544768,1705072416,6593313474,3289570240,2565814182,739541442,5060426392,5450767836,343343052,3211278672,334000392,865988084,3890380300,2684080048,1381544226,2146917300,3213609812,398950206,2616904056,2755687640,5131157526,1033926792,186139164,1661075574,2210740395,4994402823,405611653,1969347922,3495151326,3767042696,360937275,1890787674,709182807,2801746360,447166152,248139823,1600173496,4653997278,3339503216,8871207885,2570596840,923567949,6822484218,889963857,3524351084,3871570458,552900075,1990848032,2588633505,2212364536,4664820996,405400456,1296505278,177862852,7135962282,862133905,5303183361,1860255776,667810432,3414203115,34289766,417810421,2313901746,643662912,2681637125,1876010876,1760914746,1192631721,377665999,299062950,2277484372,267530682,2473766346,1875022474,3548818352,3864739932,628387222,1250502025,383252765,874851084,4486764168,5054950296,764585790,355374268,1941436602,2966313963,3760860620,6008776168,7891539093,2783147144,319262020,1505865685,1434741630,111883991,7743961200,62375096,1061050044,507334837,13328403,421271802,6571196772,7632128832,6718001040,3481560372,2758837809,2825189256,3324893280,937295070,5585888754,3120396845,325477214,6449363280,1118416628,5702849652,365905952,2201400215,4947637548,6731072184,1638722022,395926032,1402418160,284971044,1341986757,113456808,5132118176,326316828,30286,3008795418,836162915,2145248886,5074895748,6935292855,3900268445,6007072400,1321245900,149554772,1211011408,5982326664,432623240,5820534168,4074154380,1617005152,788046496,8115719319,4767794100,649146249,2453572392,2649303208,2849088765,4334631515,2516271140,2636705760,42703149,1489287040,821126287,5541633034,2752765218,18910910,2465366900,294422400,666597744,552287684,645771234,5873726940,30226268,2849562918,3702638444,603790696,477336450,1141944900,271760049,4661595924,5758524762,638055592,2377064692,285504341,2658060704,26454414,177068540,1660804716,294350717,8451642366,1999200174,345894165,2425308354,194779165,83843187,4431230825,6894615699,4469873375,318017040,1039225252,3425058710,1277422695,5323232907,824532897,4964322108,49388914,4654698559,5605802982,86447712,954149761,2661738008,2548343015,7401186352,1954518084,6192881127,830919340,1701949352,4333886616,8885979180,3555952416,1624356339,318937504,1645493190,7503596874,563545768,2657200056,913517080,2496164608,588986989,6773601359,3845537856,3926564896,545872196,1043819470,978509156,651325338,2271648228,973703807,1600611220,2414764650,5288953428,2482651692,848131938,1189537002,908736433,105597372,4004134360,7243937496,3299874515,2397886437,977614288,412110520,2347583265,130659008,4335322696,3254726485,1928934371,2300645432,476497558,1082363280,5507284448,315482621,1622681499,4133324937,1863333888,5144237904,1346254168,2563638345,1916691470,1459595950,6644409128,4210190586,2396263208,3298624074,2835558753,1559580519,4383964528,6839103192,2917208372,7631945056,5840625717,43416731,2497441524,615132548,3751818993,1020167946,5988106566,7817367808,414338968,602330040,3146320163,64075822,5502231180,5156830008,3678003612,2167529172,2335810257,436708647,3011210586,2636254579,2848358828,467425016,846750156,849930456,1170016908,5643519546,890719551,1630861834,205311017,83590928,2909436430,1009201659,1293441060,19280303,3031782256,3307648218,2527326468,219463557,2249876880,7599247749,6568124944,2344960572,2607793779,7485079545,747175776,3537968320,2708135991,1427486898,1784361864,1145229294,580247366,6646509192,4085103312,2786039908,1647560580,1933201672,1927272100,5941529000,2586876675,4046951140,2043831672,2897140253,2270441824,7757264934,1361389030,1712052340,924299037,4493552545,3294450672,1210390125,3036621972,1353340536,6344581736,3207403252,5239852653,401437901,1744511655,1488649968,64623666,90670206,5901375780,246689024,2603705748,5135380920,1820168196,4009540332,223684380,51208584,1245711800,2912829485,4031916456,4503951198,4164732088,3301473786,638554064,1789729245,771584595,3933679365,971615424,1275073842,2710489542,390126471,204660370,4103662225,29997383,4625855320,1371480696,3480617496,900246305,2131751365,569018402,190996443,116932887,1441146412,8684025444,5568297600,751339121,2110216233,1187956257,1877954470,1861229056,3225274976,7958025396,4693104136,4150918380,1544049348,2847583932,1878688775,7407882064,8276789025,1232047128,680628879,176750793,344050903,1796410112,1353750170,8813701908,363111973,393181884,1807060600,2362676904,993619448,1828587512,528891945,1081779160,1636591059,5458733392,1956201776,2799983998,4163138268,550881592,5516798418,2681854574,4997426705,1509219460,8685025407,3478789224,3479593940,1164335514,4397977350,469222506,5619033822,649500969,1065536172,1451723355,464014487,3118979066,5874939876,3947374232,3723572656,3906750918,6791361656,776750079,1881614808,595603180,1046175879,1411281765,1940735888,2358976413,2122707465,203052882,689559000,1531335855,4561162025,1638095637,1228097365,1510618872,4092984704,1465336746,2981316276,4535765526,1387511280,813914757,66117338,739464160,1363213146,948896070,2497493385,122756778,3012477083,7425004760,7079800626,639655516,1885662368,2410194507,98161356,377325108,1026166015,229209610,2556759175,778373825,193153678,230816492,3607796738,1398341664,3925622100,2610343625,268836998,3349416301,564962536,454861425,3102546870,1276409128,345353589,5683292167,6284284937,895069209,4468596792,1972353894,5802681915,368651541,729408234,2008462324,3970916928,267379528,3904403544,2239814970,16622219,2902810824,455531760,1201010924,984376148,4679009848,6760625816,225341770,105715260,2679537462,3152139944,198577595,650039184,3343050645,5220971084,607435179,128688756,1441735460,2255698780,3695037885,767299965,2748662244,2182606200,23231178,1509000714,1719023252,4225472496,126687060,3705385971,4583610612,8364002076,3061055080,713801985,919546172,6213100691,3904003336,2557334727,824827363,2937227646,162435744,2645936982,3749117260,66461241,4301155992,961055393,1298190024,1762237985,1849603165,2480042127,4357390849,2813366796,248393278,969871415,1667241234,1532870250,436163892,2846959888,991828808,1209061684,5141175582,585422528,1454706522,1595898532,1610858284,2672774680,3446253384,1153052006,1212837549,3798494632,129849630,4933512766,8382909528,2228148470,1424710856,2076270051,1562050902,709744590,4953333080,2516754309,925336109,149906470,3726596684,2118760175,7746792032,4344023488,1327158633,4452279285,6353182568,1386936136,1798100784,1549726244,2268599100,5338037637,3385973290,568441923,2235917920,2928886956,324026211,678597992,1937470686,6485142118,2562719823,5954435296,1624658028,600887020,34345716,8998723890,2614640988,3099456261,685435109,221440458,988086880,445312736,6959710350,167773232,4746049584,3571496748,5341623736,469278350,1869507699,2572333900,2144711277,1983369393,3015229496,3216059898,102823353,1890871632,8901074340,2318864880,2316097800,3889402013,8976934584,368498898,526393888,292171456,705193080,5306484666,740497935,1155740798,1628117946,1428402264,2895092168,3049528311,2731242480,3166009448,369623940,2495378568,674136838,1150805790,6721770482,454468428,2581258722,3321021522,7235837952,4018718220,2493826601,474843586,1938516344,1802356875,3428511966,5531542471,388887021,2313017912,3639337513,4233927509,5823839609,369465012,1051149394,2550913345,2431801440,1685306598,6626167002,541773394,2004737691,450440056,2120642875,676188460,5238133334,4372336661,13129248,454385292,2677645716,505047110,4344038394,4920096727,2925441372,427370475,291509932,1804968394,2847383847,6622588359,951418344,60486902,4244707521,397794021,589015353,7953527544,8057187378,2372080983,267385632,615202248,1689655130,2458391148,2627854136,4040856088,4387924620,6096395296,2856245304,796906319,2958407760,64012636,64959901,4098130632,2305959532,1747367835,895470336,3742792384,1037920462,816579188,4028516694,3038435700,5664053941,53643968,1233539874,617288378,3112044595,3364303684,8238489885,1730892653,1124864920,671546708,4995286653,3412641185,845705410,431213992,2701354088,132634967,6350432039,546122260,1549142040,4730945562,58459382,5653963532,1926996492,5759429739,910632057,4940303800,1524882465,6556542601,6602875290,1632348658,1221102336,936794598,442209656,707691387,1186556448,883619904,1843394796,450695328,1798266498,2681171958,2854510952,4799327988,5984863128,3296941475,7539901938,544987093,438130624,833781280,2574415224,1311092908,1336966840,2526637648,465416576,8350268562,2545110720,2950985070,3006798893,5985896904,789646958,4603573400,852501187,4662385960,2776034925,128904030,2969206500,630626734,4663635875,948160974,2359885614,8457454332,3884667186,3854415066,7953756534,7437687300,5641419896,512566348,6478309978,1403535120,1560149048,4726560330,57695736,448236576,1396566894,7599648006,3509300800,1858033676,6211361366,3904080628,1066980585,3377684400,787720686,8988379443,4680143395,588664218,1991277420,3863973420,2702021016,1911223596,1549097320,7628553904,1849117949,5744242368,696489626,11315184,1339535766,884958981,3996143440,138205722,838631166,2847779982,2997000105,3698461332,6787711756,120218036,1574917980,352095280,2001312600,3750309374,5743769283,1973049670,923855325,3910430363,4885852530,3414876292,353288036,6131368377,2118291489,2955442212,6030501741,6044691645,6694530052,4244383760,745102966,4303374976,430837842,3895291680,4259531840,820593030,668086368,2632417995,2338623056,506873772,1114154150,1502252140,1681608656,619789324,433590436,44020286,3082958420,5250416445,7714594456,2794580355,8197072515,2570564168,645637166,243026236,1867505196,2504596384,1541072277,5155685604,1300874112,1771442568,96862848,2274144540,735850740,202587915,1532852148,2043735945,8613733518,2184623184,2725971512,356261220,3002108975,4407430432,320667066,2172641976,879001391,3895582062,4607458220,1601463606,2435317804,1565502192,2295947944,6651320557,1411367000,956442943,750161845,463121579,3421776060,3198990100,1407563298,1207710826,3156231624,870737882,2787120544,2360949290,2005261955,5293964123,7042491552,833384613,6778426739,4472618616,931420908,85509468,942523066,159916648,260479605,2799806425,3293698704,2165052952,997976268,4331042424,1621382768,3201250149,690294822,556140120,36234693,6279050781,1959556542,254587632,4146402152,1670662690,3045904784,1594032480,3638314368,668917628,833509827,709395556,4921702384,447183599,4898443131,1385776074,4180965630,1316004627,489817990,514040416,783891920,387493826,1834206849,5445424182,616779444,1006650189,8703197955,1494005985,5434368378,556687872,6194344992,870509123,4147010064,2936588697,1388280550,3283875988,2313545724,2546186776,1403010560,196001520,5736633219,2158533940,1331529554,4819026150,511100136,7810510320,91499048,106130552,3167894968,4450138854,3346837056,2104725656,1584825825,2746258416,920782530,1732386639,1629813970,3472197512,5903263224,1998857445,7541712400,4181132574,877127235,1325418616,1380653197,3518302985,763328710,5230739934,2342850687,2945614188,5128509672,626737656,695749527,1075647018,4661791825,7209602832,1563475430,4799699610,5487562242,2409954032,4030374215,1427759460,6978038456,5566108496,3591548252,6526605216,424409510,2353234482,2941812210,2313097415,269565228,41614843,2185371702,3669864824,347677012,795734633,1189553931,910695755,4502176140,3697269510,1844206428,1120680631,3593162238,2319256982,871278129,224552605,618300450,759261826,426611862,4070002909,177042728,5476804533,1034582886,3087458970,69472094,1952544440,1011259428,4013666484,2192175699,1080172268,6795172797,4851582057,289322972,1441161861,45021506,1519210016,3830530884,401088959,55506579,4814744544,576729837,7039166598,2250978915,1038888460,1956444140,5497355040,2676155403,2558385795,5138106664,1128611740,2400935112,1100990715,2134202496,651487269,1847475400,1715335594,4822915914,781164136,693270108,6778499696,4860125104,2083728393,4869102975,1787969996,734934208,151646298,872471943,7457452443,1605123740,2496718308,1272939021,859086155,2123825700,2238657828,2177320869,54048402,590100745,6207385744,189653638,165016898,2292893000,1965596637,7790615568,5063682029,4026909103,729801316,2709203584,3167490625,4513052545,628989440,310878090,1071002199,2213277678,5735676015,541873752,1157114922,344486500,1462116606,958038222,4895531984,8674793892,132069696,2584063656,1203311546,1747274584,7720086048,3743110935,314085696,4160760792,5721582832,834784311,1888011648,4537982323,8591297814,2679960035,5614884232,587187666,17934535,5798376626,582448942,467872668,1653753544,1876855442,4859211595,1831300664,890475423,751281054,4275328596,6904833523,3979428052,3532066391,4354720912,408552405,4044297474,2202525493,1321289775,66385026,7868083,511333401,199529163,7574728576,745468710,3301855998,2401622655,3653592840,2620199936,1208942492,5883218096,517350016,4870231952,649040900,1745958416,2988798250,1014646310,2953072936,4174752042,1811567093,5550307721,1154614314,3968147935,330764930,417445506,3464882655,5620926114,789407780,3590904079,2129679528,218664024,340906476,1425273780,336756330,3213798623,8489032884,610397130,564715035,3744618500,2933506204,4624905861,797803856,1890230944,459242002,503292636,684122833,453494678,1244776060,91890651,2123379384,4656196854,532564014,6719038445,1440084568,419280814,141159864,807453792,6748740355,3028277160,6318216585,4993544691,2723863275,2370886254,3041127584,5952348438,247726359,284883936,2363775498,1343181680,6429322900,1052664012,768424058,353124863,1928535768,622907305,360814254,754314768,1067901849,2632162432,3056078354,1977495128,1198089908,5416132078,3948673566,2748391734,2688682255,5021437320,3082533965,2197945734,5413911186,3389587680,6479692443,727090208,5927323960,1411740624,4670666880,4849645140,3843074308,7814107808,2684834412,1428188460,360796404,1396570350,4918019120,3990072105,477086840,749559783,2682635949,3624555615,2610960753,433013148,3261775160,5645713236,1161158544,3994970052,7984951884,2513975952,4316592270,271201558,1925267228,594327812,3132028752,770924004,4532201292,806125040,3002745292,909701027,6122015334,3524433626,3131641872,2861512497,2786185212,1138498514,508951912,2148697401,2892811677,500611434,5500926032,7834950952,4492253238,229685697,5711876766,2529607164,478208524,340434205,2409320586,4110999848,2579762094,471654451,3013436072,4878692520,4969674000,4489833733,2999455890,501218328,522519477,302939326,6388802912,114647778,2963105950,1121889202,1425847580,6897579448,931908824,4108104266,3639447603,1480653700,2495088012,405335756,574027489,475879308,972092941,3738773508,1057756104,1771905495,3263436210,5965965520,993165954,1622528814,371941255,506816656,3851692002,59879660,1743684284,2168783940,7991571573,3887461490,3630598804,1730798228,705545736,2126180358,1693724128,3133364276,656218220,5481197336,63395752,355857630,4866504624,7271705344,1545434379,3684645735,853847375,1661544960,2251849800,1386547141,4402784615,692383150,3443947892,2530008,775816299,3652586216,559016506,2822533768,2941834851,3549033822,8012396628,858682710,3583015794,2945292476,5561173310,8515372041,3641546493,766803720,4864034526,3389277896,6231289043,2359410930,2772671062,5299194950,2964076515,673336609,7657329069,8665363053,233157020,557554767,6061236272,1663801363,285903068,5335784946,6759706144,7073551152,228324937,2659271580,2963391210,22172916,2007909224,6819538803,1157807425,1867329828,4248492262,3257913449,1010118387,578245610,5925531010,314379010,4701574430,3249004520,875012807,268308097,544802237,2242774532,252960246,2598341745,1125147442,6011673990,908685826,1037896542,3214277148,180647004,863503614,3383809208,7065897824,3965847534,882039288,3579274030,2651234060,821441090,976676378,3943680808,4344285210,849448945,5078154096,7873677208,1743390405,2321475536,5247820352,187934200,3510526812,464382494,248105291,337643448,1389497376,2267999692,4933528662,5884219248,128887455,2258055723,4376021260,2079307432,785702604,450814629,2409919074,1211018936,2042153312,115639006,4100532516,1886998830,240211228,4440382296,4664173134,6788018511,1449698745,969358071,2801707760,2732183685,3455340715,4607912169,522963194,6390075454,2639596146,2866910835,2970785465,4352671855,1688189503,208211833,2742295536,24366136,2283838260,137682657,4322762307,274360870,5069342264,1137227260,904519556,8479260333,1531422325,5965577892,2393507595,2901313602,4536743974,805251075,1311437824,343415408,2484558800,1722504212,2890099146,2386520395,5892107484,1752020163,4796899355,148659844,2740057940,1225832684,248370463,2031331524,313967513,1652679240,810972460,1808136281,481679616,585533970,254606208,1414986835,16334582,1249823694,1076409926,761664534,7751964464,475896825,2041476849,6720041000,1292978720,129869208,3394882608,3186007588,1726477434,660556084,7628357934,3754014600,5845328496,3108437661,8583659811,1663282274,4132592328,339095850,2373967134,602437044,1635788254,806508770,783240560,928516755,738264132,171473388,1994359304,3029146220,3954755528,1114088808,246638856,974341682,6311869781,188656284,4734639539,103076397,1764454974,709872775,1973227240,4721246274,1565725272,832783705,174988905,599275545,5023699584,1722376,1631284700,5770250874,7586914680,1838804712,1275094944,5057207281,919890549,1411173456,2415731304,579716142,2199381648,1066092837,5193273144,3707027723,756574830,1173844342,844748018,6215738844,866605051,4538391025,143874693,6918702896,3127020268,150269932,957802350,4236494696,900826208,903967068,2464031815,2227631715,1981646382,7224565158,6877394096,3114552320,4022559247,1343986644,3322624484,1877030307,4312313568,7947457104,1805128731,486365985,1046920904,4974388321,1957585968,3900830296,4025038992,498668114,774222060,4200860784,4781524280,2507327265,2205704500,5465209866,5530189528,1025332713,2106922191,444617472,85940757,4443114210,4424558740,3353252952,5444696355,5163214056,913052882,2379933864,3491932143,7103822832,2450635008,342443480,2650424312,1777337523,1820134060,1654309750,4999003836,1046118352,5043896360,640673984,970350320,1951651828,198227892,2733254424,1388702422,4202343012,1823918640,3813537172,1441367190,49559468,162855762,684131073,596736936,544640740,4769983128,700081110,3712511484,1384486236,947500398,81209604,7534844730,3032381088,1124974328,263819924,586352300,1545086994,583429674,2572654329,6861314456,2689086650,3668882524,1538081836,5551157703,7067332088,1206898749,807167160,4826950534,606634048,2282216508,1246188881,7745697333,1514593134,247937384,5991925926,688424310,2700588360,924458298,1984583550,7832563137,5141505933,570229272,4868882430,2688973959,4105970808,2874968307,1275322742,1574960922,7268732730,1950152614,2268508800,1622921804,7209095751,1002582722,304962010,7374038872,4533843566,1125727220,1520641684,1598432760,591603669,1193761592,2193445602,636789610,408930685,2690721736,462070836,5640284568,619120416,3549018272,2791310156,3214933876,125620754,367906355,2169871173,823744680,785826568,836772519,2104257111,2452448225,381825116,349646103,124615525,4924990155,1733588912,1250223412,1465899158,5132153467,4289667588,3014938829,5268668028,381148841,86531196,2459535520,1301014920,2077857645,2032653550,266548376,1037499282,6692479521,1852610408,2712719665,4981592125,1452808104,859807804,7656683427,820478217,679017272,2341578372,347226463,1016346390,1032766080,919452674,5436901536,1178333912,4058674200,5252607822,2682915200,1467672900,4390375940,1333713144,3885156142,1408168284,299157415,962013990,1305301792,3783226632,1896397334,378397268,422549844,3682678612,5088447240,346424882,605765318,2144204175,1367955876,5702819688,2060326755,1165733312,7423141224,668929002,5140981449,573298080,657862251,1257633240,1495832130,2250922554,2309396415,735590610,1575727382,3162789280,1295104923,63767594,643082084,5168622096,1500951935,3502807415,1965694284,241571225,899946624,123193164,1690495394,1058924846,229307859,4038321595,2284126568,2810740664,207055260,674661618,3923810660,2479325844,2348563581,1255052031,265525318,565482107,7393828671,374966614,868449544,328761724,2651583915,5887939023,2779427350,1515788490,1346811588,5418265216,623550708,2071292420,3805839540,1016123823,1244157518,813022712,2991424608,286950374,6378733647,2200353113,653861622,87782490,2647436895,3845966392,498030512,1672757625,131972575,7495100496,73521667,243056035,5943433104,328342768,562717788,3996967648,448422108,972372244,1546402275,153557300,2411707492,1367137977,5784308010,2270977326,2007367668,1234292612,3871467117,105818157,43073450,2927265103,4289702900,589949006,5147794240,1260355565,2762991048,1953944965,1900916904,191015112,2345973290,4944993952,4583950515,421928335,892175330,1042953680,7181576055,641515700,145713396,1320286059,4002389704,2095490694,2010121608,8649817713,1399534945,2035598612,302909405,2360491518,567572780,2664105210,657400275,1520331650,1507356440,1820992800,1021386123,253972424,2205536154,609660054,301601660,2587470021,735133833,230383819,5798095056,2497923228,1822742912,5503515975,4747529748,969309546,430034190,6223494600,896453832,83203491,771228461,2996535388,151813108,1754248380,655723648,2086031800,1338687843,113350764,2648734008,2159983370,623184982,2420406152,2587622682,5961959328,2190497156,1081651986,2528691824,955128013,3094545296,13758678,1969467826,1936068215,1845268970,2898957522,4522727634,6957256347,2483648120,1160611869,2560780743,2218835360,2615543820,3187560,181087626,2110768278,6549857804,3366577108,807843109,1921002020,1180734810,1507619052,1594666256,1948972,3275531901,2217989368,8813013579,3697403562,2926012974,2856453459,4003913809,271417532,1668814545,393417813,7741604781,7498503896,2548838208,746822100,2637128988,1876468848,197573070,5645715990,1881737628,508706775,2177578143,4136700608,1570683870,227622702,4682043002,1292464061,2555630572,711259363,6914192705,539314175,4723013775,275554857,325724876,189830383,1951498983,1344168890,379365505,811375462,5327073416,1787584632,1248705279,662419974,240324917,337755592,428527058,1276227536,1388923328,3291659305,2592331345,442214712,2061183576,3744400962,2595212064,4987606458,2201508744,1893302145,24317253,1254187362,1364173744,5124655467,5117332254,687699677,1679039595,2775121752,2432139621,336972192,1966143030,687709120,1528602440,1371990900,10405101,689671698,3614345052,2848528460,2165367035,4524196035,7589859680,40577018,1798222846,503666734,661704988,1961746746,113390622,3170515460,898632346,664743144,645548040,3930855552,62898670,5066645444,197335026,1281154396,390833474,4047937200,1979126044,1771357092,2446869048,1984931256,2180108792,128990776,2574558000,2644069995,3310657700,4514800014,3789629084,550494295,4845126840,777589064,862233548,2364247593,305168022,68106267,7544821284,3948775588,1876373765,1722077147,609465904,2507460942,1729394284,2295320652,4837595844,4986702399,3158815460,1645404264,197437743,2370287464,2217631530,2237256408,3982887016,6941673977,5048215848,1665928788,4442436145,200168688,76146443,35520939,3890965216,4504032211,3186640009,1381541210,3524248968,3110068409,3397008352,76080476,1848362616,2201895099,2757202448,3484927116,1319812998,2762314227,1414073020,78586009,307668030,1590337325,3606309188,123172416,2761814960,1455015045,59394626,451869786,462704550,1019676816,1093610814,1255581288,5117029386,73061754,314217207,3133498028,600496870,4580472816,1622709800,2603139165,804617116,5648125637,4956070110,3789265616,6476503806,1854759916,1213174322,4234621458,4823110925,4399218495,4517832432,966849650,543382281,1692723873,198384654,4076615473,1959113958,1267184824,5729854192,873890788,5866179128,1383050004,1475583414,2784706740,2634550893,3676818430,2032125711,2792448784,5537148883,566377196,36340461,164175106,779702175,385839685,1920040008,615573708,135351402,2714363559,891871568,3710467380,2960691045,6170026345,1226065984,609405900,689342466,944110398,753527374,5868317472,1399336032,1408415848,1292275856,585741960,3928733334,2890280076,7368755157,6739955820,87907509,7037206164,1761657545,1258699077,2112874496,525344760,2021324365,467633483,3808816055,1076419320,1794752946,4769955276,1366145510,6367961754,2495813844,4456656694,2271839592,1238330136,196167432,850384287,2741090934,2920914651,619827372,236385072,821538720,3054614075,1341981242,5209765998,167928224,2293159896,1053479268,5108182296,574956787,2057353295,223826776,2352658194,379411091,482872230,4202641685,748181550,106397335,1667669592,2908333256,556025310,1847548848,1755350064,2945241765,1380955527,3124821819,1108644050,1990358474,3699590690,1262771535,1417370420,4331870,3189350844,666220674,8161681347,3548829669,456530658,422224929,60229471,1813001121,859412580,3159759490,274212386,2119882017,2222078436,1551899847,1015732584,1871931285,1633372472,1750405491,2234928367,3420718890,4801559085,1641607290,1344671504,391023031,5904851823,3349239558,1915856856,2026449789,5932485965,679000776,1676833158,2993311593,563991304,593315476,2027364384,7273295856,6048408087,2249981118,3586429510,2664366492,3172185674,5884641387,4155450908,4363225902,2212228134,1622215845,175760340,3545260164,925825732,6595456456,747465502,7172854344,2428428170,1005483964,864821628,924161974,4069282905,3203201452,3585784850,3141659700,233854612,247997904,2946225475,4370459600,814170144,137661951,161925581,4325730728,1026718077,2235324396,2834653923,246902787,775125094,4721298445,3643448733,2324576136,51138765,3888008428,72099024,123905696,559641317,1666708702,3600670040,3607604262,3324503160,3949629939,418106465,14700116,3829744112,3028418460,902899162,513055434,2792882115,1978210554,301932462,2410027533,1709513562,2617892577,3610468644,1739606275,755189817,4179406240,6913923728,3746664025,3281704512,4142397528,2177268090,931596576,385361467,5878887792,1268480910,325446728,976245687,4665387480,1980778095,2305908304,2536210780,8627612184,5318777646,459470370,597676422,3632156232,3261144596,2907842799,2086905725,624389780,826454042,917157,2980174281,3709892485,2800561680,6694235766,1032529500,376542940,2874961352,789040104,1231202098,5776949120,4143979206,356384085,3014301900,1037183838,1064797036,3897707952,756731784,2580833040,3615874860,3197931009,8578069155,113241681,816893478,1266801151,3176946766,1037515929,964101338,663212056,670979394,4190155533,609725861,5149117785,4638517814,1400120398,305354964,4784419645,1795955378,3886765205,5101044336,2433871962,1404634344,2153439985,6233930563,206913116,1484381780,3160723785,6197807371,1506671512,532439936,3513663376,5989679456,1279453068,711983790,5662418844,4010694002,1544207656,1407293868,894767348,3065892798,5672656808,3468384880,3359940996,2598623508,1431882696,913484082,383662728,1374851472,715869637,776803628,8671690269,1544366312,7031469704,7472550408,1794273156,1699161450,4128020755,3723657574,2320253424,1701493910,889915935,2944692210,909912527,8480379276,2249662275,2372642580,3514682958,5308706172,560828616,4817656608,1595249772,2734191180,146612268,4980322140,1973780676,2743373580,4144447475,7266541472,1449749118,223380992,5474646681,2575959282,464726547,5425909552,2824513248,2617200453,1433015598,993529974,3499553700,3766485519,3419117514,1959891982,3334783122,2116054953,796450106,5290345830,2855685765,5178128796,18412614,2964736026,2888647896,3139643395,1952474499,4541921760,426281287,8825676210,1642037104,54586565,1146471382,4668142860,3138673370,2820105176,635960785,1683322587,5393241264,763157820,765986080,119197897,1755402125,1348221520,4122055704,1132142763,3052982241,691673508,4716896560,1212676594,3886673135,975342638,5537529214,980488564,6548291514,2585783996,2222232685,256181787,121924148,4039517700,736403445,8964767673,1994118813,2908134444,1633441588,4535604140,2016906101,3121415262,6068454160,3350620770,5796678088,7225192620,2179850523,578960803,3382903008,175567467,2680759624,759976341,262654054,2212052157,206556276,1340063346,748801508,553311863,6470856497,3304558116,562779459,1696708048,3243872335,3788791960,1304275510,2582210772,4143981360,3417018825,4582558245,432587524,32955807,1075174780,3807886340,680910286,655235728,600254474,552030365,2063232216,6636190662,1190758374,851225508,2191677381,8645472576,3609309636,3289965280,2935540760,73645865,32105003,2023571085,4557229446,843837258,3258613636,54184104,605718756,3775455075,1604657280,1156047968,1972540770,3353801096,433538978,8944663437,1584362724,3264356068,1106842470,562662697,4931182501,4976295445,3962368112,4763251340,1722316659,1154982864,5310936594,2059825292,1889422371,1238897800,2524018221,1292200311,4511989308,429513784,4377270105,4665822246,108049875,1701321858,2566905588,1020044295,7934938480,145424503,7748004735,1551414108,6335942585,2338259265,522157932,1424351248,74824719,2745935892,1507966465,4012691030,2775779728,1713695298,1611449718,1821446662,1945321130,4536469494,919978908,3536455980,4192394283,63613938,837263819,2324208414,3050168009,513037068,1490144120,7172020048,898729074,72148626,2916164097,388533699,2975327875,4181026527,1619715633,94242072,4601531850,3639661098,1298772754,1365854805,821384535,1414009142,77596568,1159283495,8687550951,1283487200,998049084,313948550,979056927,480305805,1113771342,5389740522,3476246480,796986168,849992503,895023130,532670987,3639418715,1833192914,5940735021,335090287,6064349781,435150684,4874413950,1336110650,243435600,1166301640,5862296748,5156118984,1950961316,1206157120,8012003751,483408886,2675685080,2786429250,5989692780,5767047048,5872592475,3304764148,1811055295,3935659308,2765242311,3411984978,2382214572,381119072,718804504,1951516614,2842903145,422390339,1135192884,5942653304,134125676,397940385,447393399,816507575,940525255,3680091618,512251126,1336572286,2514131669,4756666950,3387836436,1553079090,5797363192,3999670974,613558312,590974509,1131884496,432328712,4202974804,2364231020,1485317736,3464814311,919894912,3082764412,4984681485,3247772196,65383995,1635971673,3961306144,1557588195,798931539,801241568,3512414610,7072150856,2343756126,5996453232,2796600159,542968760,1815053556,2496011,2695022750,1573038560,2243310186,2544441165,3339723988,667378852,293130531,1673407134,1201516116,5707983630,50863605,810643484,3143263588,3871743505,468215190,3426973888,2862027675,792070004,5074325263,6131510688,1118117040,445964228,5851935292,5344180800,1742628544,3036352480,1916992700,644198945,2345057334,1892488296,545764365,599129803,2309928174,5593075224,345903600,1418075118,1290988256,1076193465,910934374,627909800,1146758420,6651777064,4891573896,2935349040,782664657,2763324500,559436031,7208052,3646566096,2715653880,2368779688,180740544,814209772,5485537071,391816609,8916961914,631704280,4736048470,1655465124,2276477836,3356858912,5099275050,1174989640,1706993620,4524751832,3714722732,1542064740,30174645,2062521354,6136854955,30083286,8707650966,5428929144,2198773458,2053121915,828377040,3605874520,1054695131,1461176556,3407625560,2110964970,4185572300,2713831192,1579317984,775083240,1509924158,19371594,585794410,1748373445,779788626,338054732,3762541584,4192890288,732272380,1550382435,696414576,419460706,1703474474,6284424096,2475834213,2963426935,1211322705,656728590,5289445420,2585918780,1233479508,6529695453,953959478,5114393310,1992796564,889369368,3432719045,4014575271,6705000621,2375679320,1193040224,1043179170,21852720,774361384,2478821675,2626237356,3113659528,5690165136,1028878905,1792306865,3602150725,760812979,1820132487,49481435,5889372872,615301587,2383580634,5282314182,3788774528,739333950,2692847704,619897134,1049452422,5154931881,702823770,3353305062,5666979885,3224816763,972622506,7151883616,285871685,1672496978,1606335866,2874710076,787239160,590709250,1751030864,4230704940,102392274,913869935,174560584,5246099201,5942889096,7176153960,811375624,301184583,3359042250,255506580,531326969,924163427,319574591,4899334975,4163598018,3774289816,1256151176,5900477870,542438724,4671813636,3458843128,4885112204,2780214447,2135784035,6984761168,2747491218,4769963730,2869615281,980766243,387029178,1485901160,2298507820,343720960,951528243,406886416,4083181458,902737048,4016841688,8102376,54463723,7933305120,2738374686,2018985327,2426497596,1612809960,10858788,2597604824,819209502,1490046824,6414650776,257125298,1116650688,4120693860,6490050987,5247067743,1837402011,853270334,769921346,1577917688,2386166931,1111497831,1250295670,267386096,3187499329,3234451268,7636498304,6978565494,839737748,3649256232,3261829739,2046449220,643620844,5869262763,2030946276,237857880,72751302,582790132,3597155432,892943574,3560077720,441343310,176963584,585758154,826500583,2381332192,129293097,953457164,1287108256,1957477696,442006958,5506984566,3484054412,1289346028,1255030072,1116990498,3937301274,2848900488,1681120440,460590871,2488265760,425518380,5800574214,7852347576,512010438,796151274,4239967212,2842117250,1838697825,1859156488,824400765,1409176970,674364105,6305012442,4418410705,1337812805,6031407543,155653532,3738804976,385344417,4005347406,2799441904,916534032,2700401625,819715257,1865760312,4836861520,3310189852,393103128,1502766290,6255730064,3781650803,317345515,2031535152,3776053230,2650694488,6126505470,2222227408,5386650208,788018928,1600128446,927335506,5384306598,214224455,2313115616,5644211616,2328702605,7255865124,1539177087,915070684,1297389726,848124984,426452567,408746667,8503368129,1061111274,3874521800,2788308975,1981997612,8949204153,294926835,4136674695,4928601496,1588039754,2311109472,3904007406,1138068772,5327085344,383857942,4770047305,1472837410,764052029,195863670,1906284744,2352979557,1631710640,1818635560,1217285132,1413365514,2894168459,916203095,401037680,1188497954,2265330888,1172902964,2596812426,470679047,4249521390,1051223694,5903491958,946494976,1860923892,39294948,1631536380,4146099430,2619436869,386366444,1599375985,560972358,779825625,1101532048,5443543091,797467015,2209314272,4636174698,4854965045,5418107840,849192120,4049382745,2441539976,1493825361,4632298713,7458600528,1805520720,438817986,2311586858,405083189,404043422,2930796967,1735215652,7983752760,434866815,2436007700,1691496828,1493624655,769875960,1297880068,5408907642,2911889720,4591004745,3316639452,815477392,216634988,5804385475,219022844,59392098,3166859545,40377602,5521184271,4912420644,1597412762,1746765336,4792282985,3264674469,806330778,5538363642,1060881972,2974158837,4123012472,4659939477,942245850,5467636344,189743406,4932590436,488649091,3871981062,3198016040,6913901869,2934389892,2367405186,2351963600,4185191216,732738361,3681753732,33098415,4714802448,977496600,5519499432,735297714,1525949208,5928238260,1411574288,2546933184,2897921172,1342767920,8938617,2992553973,326768859,1091067536,1719489995,3424595616,7710142832,1837315548,431859408,1818370045,1708425810,3554162344,685999035,327249848,3935080422,3573755784,18035520,1980122728,2952923636,4832251080,1027079870,5522398893,1878981392,5409264330,4995565085,149272598,2947724060,819963204,2358810930,885596844,5084485854,108429838,1715431540,1061660103,274099282,787229810,118069712,6872152126,799428793,4818822084,605161336,677688110,4802847885,4045724875,164173653,4719017568,831884903,175393410,406144708,1259885058,3697602056,2804686628,7763070321,4575537743,764427678,3398565756,5052567444,7185992769,795348246,1866476127,661616772,7227905238,385257972,6168438936,6108621078,1357076635,334693701,393266900,2173092855,242769736,94677690,4206900054,5469285192,2500024107,1948458750,1283744700,4836204198,788812308,3533075919,2234666349,2868713010,3964206990,2261312394,4596417322,7182162522,2770249768,6681169719,972028950,5076685926,5165550944,2701085244,1563558644,814983642,2799798138,588327237,1909592430,706521379,995855028,4366425465,120844306,890172332,612826120,1926904134,7356129237,167520597,2337409512,1243458108,295425747,1069139526,1358161326,1301377176,2165990840,311118504,4404401030,852782100,1998496698,3136831926,6931266034,1767610008,284356697,1787962614,987784380,2978995607,2473874340,486806373,25054584,1074477474,742468780,5057347232,389962732,6345968904,3969185696,8683111611,2460852456,315048180,3231387954,956300769,6813619191,549207324,34859115,59689415,4757790933,5132616552,522668433,232289587,829663872,3503100111,330283920,4058723748,692543884,3689353280,308194537,8050730238,2816662284,5938715040,5221938840,717038755,5589225684,1343750818,1615692896,430303597,781149793,8120152773,2871979865,342090029,1047286468,537819186,2547693960,3251469240,2741345544,625553468,1723326560,4841469918,745303391,227871203,1132060685,3479976311,1901011512,1091634964,54180069,238556052,1856017234,1072596434,2194599837,495117787,1536258822,1639766968,6381667579,3154405210,1828454589,3711850032,3755873688,1602672032,31334076,423767781,324140571,2009825104,534773565,3828100144,2696436680,1749667248,226353533,3875591375,3835729434,324622832,3058658232,539589279,6140504209,2768811426,936900600,2187723972,3072737718,2725557552,4405393944,919605765,6488362848,550566821,3963047195,390873568,7498210048,911701665,341521302,3429149850,154715272,1886450816,392148852,1520815824,247207512,1751593563,355412400,6601987273,8918533494,608365309,1592942710,2510327313,527207318,237614517,3121877962,167617624,1459952326,256323195,1844033808,426820244,3722582297,2961792348,1964999944,5431323792,52428615,1021572399,2594242353,2618129982,3926839650,4193954900,29350845,2404659928,445160016,2393411321,4234091545,853878897,142018989,4751713240,4930076598,1035495972,1507262778,1358134296,3711256100,2009701257,3333364525,8157832344,124630832,1755984860,2070892936,506235278,1594089186,8881604964,2139059214,157584246,843022148,2183467545,7845791841,820177288,4710614660,106654314,5036467758,2602970340,1867964434,1711436904,2189577050,1563172624,1435559853,4083508980,2953266892,219343957,719987168,1990912656,2493464508,3819864125,154793040,578939910,789785234,2428298280,3183320128,477275918,967586649,5629674654,303924448,739469285,1436466915,1430991476,49147000,726711142,437298084,457011693,3560570601,855974784,5012546616,680267414,606653640,6625892608,786788568,61257842,1149691144,1462836987,1985937716,2421515020,248528316,3815863432,2933252679,6987480934,811661090,6605248006,337642940,4769532726,2271466986,708840255,980243204,7282833831,570827044,594475692,691214532,267501993,5395014387,3689987975,1051978512,1056814110,5841898,4440061840,2836761066,2215053195,2482820354,1173867864,1581369925,3602905856,5851947396,4716723780,381549364,188991957,1286708563,3491753944,2669815004,2434204717,4438429145,521626428,6226202899,5793827928,806415996,3610467285,5837262480,8913422835,696679428,626466595,1584558424,619656602,209182362,1416091056,3587504180,553673153,1270111632,4770309072,5087503152,6395443965,688488136,1536818247,3981837924,5557878258,6425857048,458522724,1531425282,4732542248,4575161622,3175957494,2411731371,3418977492,614702476,4376568686,208035318,136568372,257165094,1419988392,5564824601,2996542035,954191756,320844976,1941453189,2633242608,6702447744,812510070,402778692,1536365520,6059788756,2578160425,555389556,582656052,1077208862,1928626535,2400604324,4312383042,2705870790,5137750541,2862039084,2533491282,4310025024,2768207930,832744828,1589299412,1067636465,588727123,2128989051,2217008110,2954195853,3271925706,2829697785,3308787776,3189014262,216228218,3424927599,4670073972,894694220,1294748664,2942483675,4167537768,7482030012,7010963808,1125870036,1504406216,4886231305,804569980,381830052,2792319183,742470096,6366683070,2417164664,4723146468,4139899302,1458044200,802472356,1115282403,4781525644,1080910060,5334916392,3172014657,5844329464,2209505292,2926890560,1095232998,3987933600,25236804,1487536384,1718045244,663088649,53784367,615316950,1064171596,387866130,808704243,1714903410,4234349820,124682042,310697178,261805884,668994484,5687538850,2640724365,6446041182,4817024930,2114743224,739342692,5147003232,3338546475,2186879706,437715602,3914078274,1990719692,172997675,4168231902,2023686450,4596252570,1620048080,1406970339,1954448074,3219512650,869121414,2494382643,1211420959,4282102092,3890374690,351212292,1654998099,4634768795,4081471245,2481469400,1804002576,5011641027,165103541,460880055,229455900,4561270416,128932076,2770053618,662584230,1874463231,1440006894,498396105,163444712,757983172,1263905004,223971260,2638126890,179829481,1959664118,1078212540,993080078,613634475,47558014,9631398,6948543301,2295269000,7893793992,149790980,6083662074,2967953368,8287888158,6055091712,6537695280,3695928828,2273814771,7792992632,2894579252,3888092120,2459080368,3624730665,2949928056,1567392002,1399814448,2359712735,542944813,909459926,492757719,1320423192,4903238934,4389975114,862059356,703738208,647653728,1270793724,4722768120,285147654,178374862,993982838,3389178590,2208117069,3142045176,1894891692,2504327343,1327020,2563108965,4959741344,4151889294,47903452,1743809216,6634714968,2849848686,2415611564,3302796964,2335767975,7928845461,4573602762,121690074,380790716,2174325796,151619396,1446562383,4375592050,5595506856,3889249974,208094298,5512891023,886097628,5206697934,744054616,769424205,1644612656,283384038,5302929248,673302294,463885173,2001978420,219667707,6232976262,8156999331,417371480,2452298305,6245607263,1475903358,4562926794,1998233936,1362957452,7410452328,4302883278,5318671414,699865714,3614107192,3035247138,703494274,1008388576,1765835670,322315524,1264110752,692977054,1280307399,3271507135,3821446530,3908562808,562337358,3212941648,2365199696,5248539720,3511645468,2268836090,3240337220,469287712,1853357954,912084105,2482297576,913257792,1884994362,521526254,1738142329,1960231464,1709458093,1858127625,5980925531,3625401008,1593484476,6949082961,351528912,4914275436,964149082,2560965141,5903659962,1416072889,1890475770,1010471046,8240850882,6171843069,53459235,3485539345,5042081024,2445797276,1506463096,4267122120,125591052,32362875,255862566,2810692040,935988006,1531332200,4178167407,4701728465,4285624923,896061888,1188165084,124000292,5022028413,6782093680,1041959973,4921700812,890763198,4193662855,217207776,3591983576,6968364403,3996441655,601306980,8624535327,5254672,6985414016,82282804,1516666380,4377071455,3159182420,1947192282,599766795,6935499744,1264715092,314018195,1934667429,893506597,5602116267,836242668,6132187720,2245722648,1011018006,2786814233,653797454,1318416615,5973525756,2259370760,2801440953,4674475290,518691152,1069296330,2606386461,2645328740,5882305284,965702830,396838302,3852806931,8104461714,1259083482,4157022366,1196371068,2890849664,1953118024,1674261081,833049477,261500811,812809898,972238162,4916949048,6197762456,2606386560,699331335,4732476735,3942965727,958727805,4873075083,4158859880,3864263991,1495959945,2945616030,899474184,659508262,670602807,570871907,785201889,18179357,1135833056,74801934,2057496378,2694212469,1193703840,501609645,1805766370,4363623341,2267170344,671917120,1074748932,2977049285,6241096720,1594043476,212712345,1360120083,3534088977,1502621554,4664894499,316589725,4820597850,51658725,263640370,4607847328,1477334492,345205166,1454174220,2205470028,2031532407,2989062616,52542076,141665115,3579789735,3120404875,1887811272,369523329,1321459947,7858013382,2458152924,1129960293,697773996,715448944,818237310,3533929868,527564820,4926346208,436292199,416033172,3489266942,738854088,3381087141,610505892,2019014880,4120511085,1883912448,1740481920,958755743,7526542995,1983767658,2837968767,2600390334,6012702000,134338762,3879011744,1891855959,2854866,2713490496,185214379,1484673435,6399097712,67861724,327659960,1234530485,4870068021,1337017308,1991406888,3290376450,883878537,621707025,1191461550,895826575,5383124352,6088925763,715481196,5410808487,2684333028,495796290,2026853790,5512637034,1234588080,118025003,2716453887,1688719602,914495120,1312652394,7498067310,3057886850,686742745,1004725452,2989900112,974920266,2499178041,612948135,1220392254,5172005295,3549363688,8544008799,562607844,1775417388,4606258685,3299318630,2290414304,349428498,969936384,4963801830,3139972591,4903507140,2396680662,2373127448,5756008887,3634860270,1932328836,1708860681,1192982730,3051526504,75502040,1578326724,1828352934,4907589453,2228051750,1193226892,61304790,1295639220,7005523896,879168370,2035198450,43339767,1909003970,1969342682,4850476944,81985696,3823379230,1289191589,1691866860,5857984470,2923976152,1074357183,588870814,2575825404,2883959946,2603826945,1164440670,202589889,961807185,2878805748,810093864,799417388,7130624704,2493423237,1022886823,1438342040,4213524888,2244085125,695762327,2088404072,1561163571,976746242,613753371,3165679143,4247078046,1680871612,323485178,369694408,3180224268,6595076964,6337278682,2978255356,2319292206,2254664,993233710,857632805,50426094,870181062,3140125500,5310387376,163411976,57201846,57513717,4071424165,3658157844,2432720505,2778658792,2657770152,919401519,7864252461,161901572,4034639816,349522186,3518434945,4603259056,2552572410,1444731768,540020159,3679752820,36010420,2912053854,4265004534,5961687018,135833936,1902723159,3259224172,229379154,1071227340,68579284,3106676160,3799345812,829885628,2304095274,106547471,735043509,3841287424,2028548432,418771348,2379571434,849460872,4763647881,975383773,2083900652,2261754024,2198650941,557313484,5699190210,3405016776,41712649,1733390166,2684820685,88470959,3998089936,299271982,1109461912,6972535948,3242861045,1184595840,2753709524,2395841391,4964014816,634154406,257414570,2194296822,2456831520,2211651438,3571580880,1985126052,4724448498,7736569056,2506281276,1923051393,1696781523,4875797817,1745323595,3133641315,1695282516,1483949985,3266753036,1189382596,265247492,2014169248,8248181922,2734453368,1664916452,196367525,1221402333,578554595,2022380495,4899420704,4343834610,1627871679,199458783,3659358968,7050172356,559800916,819224271,6027243145,1065223760,171585178,2048171405,17301926,241340758,2559149379,4690312040,4514483216,4539622977,6811597023,8700198642,2933603356,668716976,5976489953,912807340,8397148302,1654513443,666580800,842211619,4913110155,751204572,49671188,2417118021,2975740893,1255215200,545131245,1822006570,3850036602,359423523,431434728,3763988556,3577831240,2062366686,5934379216,47454288,5166261468,5068305808,241867191,2118389580,3707272305,215884044,183379780,966334758,7823228368,1293499430,177895223,3923887172,345699500,969665472,6007822247,4225329563,2643649560,5116785760,1843310800,24102380,4343932472,575467245,1836675428,6101070561,1818437160,3225670756,369807348,217174016,1466320536,5025721984,3685295064,1540592620,644461226,3327614460,4805561328,3890237305,2704626648,298324,5202183938,5190908440,1306565332,1476663792,4149738036,1538184400,988980403,743970324,1218898722,612802735,595935008,690949312,3678510360,1449406676,4137580266,5809545009,872933695,42165576,47814720,3596855272,516018003,2314085375,68729640,446053440,3675170736,2170556760,867030381,1690445240,2924655918,6604425737,508380384,386499309,2147589471,3343468656,248195929,4390651332,4428318500,2781790125,1152964508,3681383733,5584448037,2074343952,986328711,6104853496,845170220,6650258355,2650237461,3838305600,6902543385,975834342,949081088,578505744,1734405550,46344314,1829297850,956787658,1729883260,1801339533,484996054,275140440,106952188,842541454,942052400,5432190384,1650220240,5376159027,1022916818,193515831,4997767089,3459936536,4485665305,671481724,27762241,2607387392,3990566496,258346508,2846276955,2073556527,172033556,2577385135,1452924368,5376521502,2790529938,83254158,665933935,2185957580,917143988,48916372,337157776,2807983074,474520856,2718054486,834398202,1586001348,1556601314,839432961,2228706393,4947659157,1316379339,335863792,4001244820,115025032,2264901674,6673428699,2192707012,235513323,8631463239,5625452624,344049420,76258233,1212481305,4353021144,1298434900,732716980,1673642046,5158462472,1792824246,803782278,1785198114,2061776010,4256172612,2970791490,134400141,905239440,1054344219,87316010,3493494244,3106747324,42279942,508585579,3827754670,732817474,178107221,3803232952,1598425686,516418072,3537747612,235067110,873491592,766191040,329328364,2171849960,623869916,3132834848,2731223304,323671866,491222298,5574691430,8056718415,439869135,236274650,3206650285,2904532896,790896891,1093799330,4030037389,4086387720,1705099084,837506632,6203776736,5163839688,5726985432,410761992,3697431078,2992392705,3770597176,1214490894,2241565088,6986360150,7765724187,1277973456,1974052696,7741330232,6459922812,1792018742,1358227248,2893459656,726144321,91830402,6042301155,4259006150,3266802192,1749527898,4930452864,1753352010,629575057,34374592,521679402,727320692,505403216,2174397700,827880878,1521854648,3734793,1944775532,1765365700,2113873715,359881670,1109920072,2364433779,848230238,3609553460,557992914,896358375,662845579,1190374295,384640418,2948616360,1886967138,59202646,3419270184,5841257520,2320869840,2714354510,1871634562,951813511,2881716220,1004698992,5709953416,1705777434,4803466548,4466813988,1322978020,838499682,1217559348,151069484,359971623,1953603153,1891897494,5495013108,3565436796,2802574482,984024499,1942157454,4477519422,320315880,161236284,1894858264,3772851680,5563397976,1073889565,1395498489,1975390714,3767434060,1096353993,1961003096,2402720855,4579622445,3719007360,5405023143,3581375760,5497418808,1257031559,1356506725,1210492689,1481723682,1334668880,2330074435,2464052172,595940217,199493652,6160682577,6290660558,678713768,671768652,1319054716,1394950320,6409328219,632612162,644006036,3515417268,2392066380,517365713,6096777029,3656397136,2780963840,2983988808,744007986,6532706088,2310488908,6006232880,1191458102,618028402,568244296,6812281616,1426843320,1713911656,800166225,325034877,3763935512,2578981725,1599771474,98650074,3795873816,1971791120,4955944794,2998624188,7310764548,6633836496,1404602150,6919358768,2969925112,5037766506,98895144,604286270,3978402175,3462954834,3382783845,3595976484,3123496096,4956249969,476190066,795408710,1960450434,1895164520,4869780090,3795701562,3548073767,2962195452,2078028600,6399990568,1414624508,1947139336,2817155784,3589629792,2590758884,1936441240,5262948040,6778740101,3774669800,640059088,6549850713,453369670,6903894340,7658041158,1052049678,1871496272,620042940,174601312,2108354628,1586961105,6280392377,7085219895,8072299728,72986785,1480323159,824174354,8204124114,2363851623,994425369,340050583,1470760068,690652929,32748080,2660807388,389207592,1613210823,2906775440,1752472785,646266064,4134159008,6624549645,4053072515,2735088520,3068897307,6297105440,5127669606,1774737744,6805951088,1984594040,1493208036,3131936202,155578428,3559807242,2761614633,6613821676,2825957550,745727367,1107432958,257867700,274335996,1075187864,487099650,250574150,81438315,6942729654,3665754165,5991543481,1418881412,339341390,1009417945,1024566950,7335984690,569262987,1066640392,2291781852,1926037954,396476074,552957843,4064628704,1780408720,2477745975,1766821818,591164655,1038445214,8063222220,7851909852,2575812072,2827188291,6317685024,3664202984,4462579905,423871611,6219587000,1661603793,7735928679,681972068,842894128,3492725976,547134683,1064798900,1211207620,1674390126,207013658,2378189135,1679716598,1949582616,2799998412,7257597264,1767203248,5805745992,2655316917,3186128673,7560185664,32503029,157123920,2874594180,2263959712,2111233671,6199024023,965030886,3004806865,3285653280,1364091065,650784991,2744320680,1313699566,734072615,600213516,871013796,2219867106,345468681,3961039465,691326412,3741036465,5406375768,2068185868,903856168,5107981354,4435266135,3779646776,638403660,4480395800,2973990880,537543923,1000749322,5032530504,2070518412,1109010308,479332332,926342178,491453434,4790565534,3229252677,903852612,3284155544,685323675,1416718248,1904459448,1801291416,1552120605,8858913228,3584989170,1593700332,6973724646,3790278728,5823372982,942880680,545133826,724415401,608709633,7171160184,3525246739,3195370596,2509182354,2673267496,399466132,678226350,1706235592,125496610,2279496760,220679664,696063654,1482154382,3294391216,161021627,4117045104,12886668,507173039,4579378896,744377988,4187506506,347521186,2839809128,1964674236,1690792120,663024520,805517124,1616626535,1920078432,1949629048,1057307144,4844634140,4182876396,1736239854,2184708380,2455993170,1115718024,2658321864,3012790239,537842786,5123100536,519004593,299715640,5467939016,7970760624,1935136668,408129792,281462592,2671460386,2064012068,145846342,1844156587,1892583750,3609420600,6151697328,858270187,997476193,1343252346,1131023369,3254798405,3648383200,1490270070,3486137795,773748436,459395856,902688426,1013902044,1920893608,672983134,2724191764,1170045052,5394266297,241063013,642341280,1465131208,2356803582,894360541,580740290,5287847076,307537942,5002820844,6460133640,1704959454,3527141485,668766192,2254551616,505705556,737474126,5291749544,1510053256,3628920552,2456493480,2940206835,781397142,17833064,1326865014,2406753504,6768089739,474210010,485680502,2467187796,210348861,1512510908,5136849963,2262254616,332763639,1247490216,1091528958,4842322260,2054996028,867417556,7847113832,116202300,4821155406,874270660,444625608,4755769575,2045444436,1948876840,292578520,2175273324,689333271,5031564978,682953167,1510813570,3582741134,610150823,749064336,156945660,293107269,2936845095,533484518,743754515,1642731942,4759773392,2315444831,1699329168,2553416352,533411109,2758710849,2763930130,619495437,1230449731,58973120,86277101,1805068054,272246441,5340509706,5323790073,434313469,268954505,125056947,1422303510,112083877,137926498,1791229408,2665722200,5099848620,261244504,3726098580,990084284,1478795444,7092289712,3542756580,1803708062,2127731544,1591358741,2365334015,6954973571,39170848,4191708388,558209766,93682600,1180225728,492935874,3640868275,3522739645,214832198,3741770905,2853083980,2789026790,18441645,1041634350,5061710052,6413845788,2767873710,835542222,2126530167,3075816032,2855738358,563225957,1228415602,6148824561,2787208965,4889975940,6310499412,314245089,1198776968,184010430,1209558819,6273017044,1242406410,1104684865,159570426,473707120,7102360240,250446283,761781132,2736856810,933691510,489692460,5883043632,3386627418,652981788,2945439333,1155365814,1516171338,1835760262,686279281,3560495805,4939669206,1948474592,833874427,6217418700,3404666258,3280973697,2554122448,4965218652,3237621324,4107729633,858236824,8456718645,451935708,1456709535,3127304892,2608283120,5342665944,5532848316,4154138145,6230245875,1482854924,6279724325,2664806200,5801144678,7841533424,127177749,1232759736,3019723075,2949242200,929109120,847259391,8185932396,140835948,322588746,2346100173,833937549,1701994398,1422048822,646828538,5645544,1260432256,1618197545,596580891,2234272158,3278790151,2573989854,2029656940,4849338294,3342856027,2291647631,2447092845,2355602877,4887243660,1540281925,698793970,2217936231,4960942265,870383520,4936138749,364778612,5272404210,2473555105,1066365064,1549416918,6540119530,23397950,3191237063,970998004,116426604,184299992,1304508057,3770494812,3171559512,278196086,638453818,3640118260,4660451178,5039991441,4177427456,2284665075,3743099712,4686618160,1370618140,4645529604,1377562176,250727886,162597304,1568535261,3020043678,19125015,1956443716,3276582520,3828473334,1878667294,4077497785,1688754880,1318966810,585235836,716662449,4504604640,791105773,5220135672,6651472392,1074674810,1592955612,8716887531,1788459128,824421652,1260730068,1517556600,2334087651,5582595585,119788579,442247368,962957308,1901166776,561090888,2532091266,1214700510,5422268187,5611933476,1998469836,4237817555,937164731,1982190441,979139651,271510196,1530216245,3237195731,1615395280,343975572,1563747984,1354628800,1595698374,1312072389,5900803590,630163422,1117018719,5996787642,3291270306,6418476260,165987411,1769658086,1621870340,2674231680,789546680,995861686,825438212,3187798356,3513487895,1462129956,3148892955,1510306650,6191573544,2587515656,4108579090,3675280744,6489660,1674437740,3987712660,7687124720,1251911485,2432701605,3130571948,336723517,4305972265,804270336,4024329130,6942435136,2811553652,1348596942,902736198,1729424334,2422029060,263549534,510550686,330009131,1646708568,2375671080,946287594,1265589532,1510078617,1641855444,1370510734,3767726180,1873925608,4326280992,1114042976,7630200891,3243446955,3734463230,3502849752,1910310438,1766103448,1908500908,2800482615,1019580289,769710525,252090856,3740421844,2118637512,1541626236,2100923895,3421994835,4322228463,1813722990,3875532096,2268518567,1388780444,451052900,2461967577,6861947365,3291313781,1692378472,2474960472,5004181809,1048091601,1077423835,279848792,3906570267,4542046044,1063932081,271307640,4713363879,8782323480,3151864470,345509412,5337091991,6795855360,3087492840,4620318876,5607180330,2558151415,675865709,8617889439,191255980,8745513750,595442710,8766004140,489967736,1775027492,2227863695,2045606600,2939806548,553733253,8345067300,4186976712,7033196,961216662,4640349775,316478984,1655877656,1959209912,4917241147,3571620648,235235952,5151964432,2353903988,3255251478,2673017784,2475656568,748158028,6855647952,3055729540,1551285432,3715572455,1159354676,4963115922,923009028,1646415322,99315150,1563791349,658036532,4339175420,2250249228,1601498108,110054805,4878439518,618284798,2996264816,7259435576,66868364,173185727,8628044274,156981468,789338368,688515813,1985364240,619947001,337344414,2363384124,4771253700,390016313,1711375736,667235916,3710983760,4769547890,227087270,286488520,182156102,927007181,2516994760,280885857,2465591715,4129944880,1132122696,4367669535,4152555351,4088615930,2724312144,4517206496,632184462,742456298,3027369726,2393565603,4589357988,2611481901,1350129725,2099094000,978976173,1423018768,1177191348,1137561334,3165664304,5804709516,3136648884,455503939,3603724385,133898404,698371999,3777227244,6423123400,1935511794,196302018,311669820,1570576340,4472688123,4348179120,2575718106,2545431155,6043315880,8671769595,1638335868,2717976366,3196088768,1800289790,7024437900,3463408944,2030177448,29481489,2273881432,2043614370,654627912,2020401045,5941913004,943366154,66440592,3834056130,1962199575,315848097,4136539696,4651085170,168435600,1876088553,1690201170,2795320290,3326410232,3642997608,2628487770,3250354782,565988679,7260294141,1203860822,947183094,3708944785,4393398395,2963236146,840478552,976071492,268127540,275934095,1688497170,6764426478,4627723266,81327771,744425656,608637270,774416127,4815466105,5974531680,1310894931,1321041798,4386129980,5939132312,1055433736,524068496,422123913,1594287476,527797813,2250695646,911409303,5889802368,6075020466,1793820488,1897878048,4957575651,1926754630,1729631324,4627716759,2600085782,2340874515,704866510,2488857144,3798887408,2867243892,1870738074,5553016758,582648294,510874365,8030230713,1372125168,1171534281,242458755,802251856,3666219954,48593172,3818364164,2016453267,954129702,1702204281,152233082,3112865930,5283617710,1719311255,1522272244,173084922,155872665,1653506890,1144270458,3481771435,297934040,1360282869,2523015408,272043086,3659786716,4225140160,362766324,3847367032,2358122392,3949306098,3184652764,3407683424,1346901123,1212292712,6520341924,708665900,2327919135,3886366968,4680200532,649675707,221589981,1693492003,123551676,1624692325,315162835,3882342758,6134069781,7776791360,1438696959,2515552648,5174746374,5369433444,3980040219,5530625235,3036468725,3258745236,1734052374,253678450,7450668928,4112800840,2875085658,293709526,3033545355,214530687,384859835,8968590504,1061418926,2419756278,317466436,6655950054,5975562096,825262328,2122138330,8774010,1851244084,5703473680,323017536,2210535000,2228661105,200947868,829659260,432235234,655732959,1513647364,879518793,1235764190,438001947,2611150935,4390236351,5594936448,949864896,242767304,4285319184,109243013,70137782,3078706626,4750066080,331481096,1815519315,5451584831,7565473080,1231083608,1242653946,2487917776,4227373125,1655953452,242973736,3843570984,469389664,1265802704,4502693585,705469566,2302901376,4743369720,4479747632,32198648,264263068,3019686205,4392164810,89324384,1063614060,366544116,3998463880,1990582176,3325114098,1953602606,7513327272,910225500,935976949,5667556842,6778722224,2782369410,2579879155,2791247656,6073689510,2766883896,3679643856,4745898042,2118584538,6191603810,5133013326,112780128,2812208360,1619176372,968908580,5792899480,562670703,1278853134,2432436516,1143379814,3679999461,1206103038,192943614,1174468773,7461281928,641778399,2491463034,259546711,6670912216,810819676,1222231476,779772268,16299298,1590894969,4744759872,399288016,1516869828,1964407544,4526720112,938862336,521370828,904269580,1761877764,3053649456,2992311944,6170005506,2827964382,609536280,1817194896,1439902197,1689613326,3354504882,6317504712,4261409262,185864848,2432755096,582100228,3113766728,2513126032,537309851,1244949096,1664209848,4709849520,82226214,2182715408,573723028,4604350698,3626901516,100393251,2696780688,4150693656,4044927365,758771584,183787164,4609669272,1112231301,411233299,2979497220,230685452,1941631581,2745353805,941334062,1402666276,85060520,500708047,1720165216,2483582760,925820697,345929134,1641036325,4871364948,814853612,161057203,1273770325,1274443845,4812762115,4549102870,2586956750,497155089,4482720858,823124966,656231352,146766432,4403074355,5476074000,4082237436,1004034486,3331724616,214069152,3252616960,779096574,4576824985,1827339848,1738325940,3785419,1232905910,229614434,646363557,4715249032,1902386385,992688560,4877649280,8094934233,1055145312,4774891986,5831596968,4876045840,5389917050,2551522345,216135096,21984088,5399960097,7459243713,1684872136,3736375866,2450299345,4849026365,2243709777,226947529,935983525,3546683798,73091243,674482374,5292663744,3399883236,533706649,635227579,7859877072,1723188372,7303463262,5665932480,5477389832,6799143968,3095227863,2331076878,8250667083,972013104,241566663,4292407609,355738648,3690756696,638111268,566368344,1979929532,2235896385,1538951686,3837283110,2899063704,191218232,5486712560,491589507,514131855,6102589276,935850184,68306334,2831314984,7866495304,61397436,8696904579,782323639,5202683181,699172942,679502076,2319897783,6109682472,49980062,3721332594,785620593,5336566902,5066716116,4310551161,3179367620,258907059,2714840700,3058001510,1206913845,3754364688,165730196,4736824752,408692950,5187479382,3413479725,161772334,376538212,231916578,1529222408,2224969908,6740072864,2842460944,2632904004,674973495,939185597,4425957298,589768401,1836555660,6041027629,5327627481,758707904,427842208,3813776197,1990458114,3589673880,86300312,1060074550,306312432,5037933906,1286910128,82055602,928236452,252437003,315696064,304000060,3009658518,4898613150,6790699629,847168392,1634425374,1794980808,41223488,6087681840,6911833033,7692815736,5520017538,1011077248,507326039,514153582,2142775200,1100275589,803830756,7605837000,4288084191,4270141939,1855361792,1209946576,2433277134,2913362847,1085323944,8988938595,2998516752,3607896124,1392855842,148832756,819753238,926146945,4857954633,3269245273,1997970846,2396696,901146289,5936885560,3496812944,3693273336,322838390,6916364714,3594759354,1766989926,1461891360,641722920,1046281888,5298348937,1113810510,710765986,1318088712,2981254705,900303311,2698711875,2758172046,2297014632,646639881,111345237,4813473636,5476458780,2059464102,3275745291,2897246178,5963981513,765228842,2478975328,2134023795,618035016,4931728191,2796949270,1468785738,1423984232,881077416,2119366944,3751546149,3599082168,827547772,7400480580,234139753,5912794872,1847979256,6588893760,1794720915,267151168,1361589698,3884511720,66331099,2481930210,3794582910,3225341784,5294960580,3411783188,975189003,1757572016,605610248,3721202376,1006718220,2225201332,2580658854,449086098,2032031484,2932011354,1678673024,1352693452,268442772,1555534400,1359367359,6377979848,3210034935,929952985,4747584280,6347614490,1816365498,2726320722,2893521568,2045472995,1084275399,2052687471,792219243,4560690492,5022983776,648663658,290808415,455763078,1531971450,8693869068,1708380492,209467320,1931997372,7625856216,2194295120,6512051392,2341895742,254828021,1358261832,3872546590,4312776168,4993103479,2724503667,817000432,798675264,4237426008,379365429,380897240,560023352,999241602,1569961568,2714086602,4458365865,5649069738,2284116390,3076666970,2702921694,3419462800,5313194593,5290066836,688847920,837232154,3128417476,1112111361,870893136,5032052088,883801617,7196246248,6668721792,3975962184,4418684,820671408,1730454714,1332420346,594834401,1922735865,1464043918,651804499,1976533496,4336852338,115708595,2118857028,3818682384,468604310,2928185560,2511481340,1988530733,19598836,4546969440,3948782760,5002002891,1614558060,504991221,1748496450,671382900,663923527,2342135364,164195413,2564734480,3750406020,1617889511,3245414193,4577151362,3146015408,32740019,187100275,5599221448,3699386768,1151936343,996268913,1091403936,2228752614,1913774590,4396646922,741111664,6774923979,1101377172,2355689740,426078884,3900754764,3263797341,176934521,727423646,4697424020,1876101962,620784466,1239507600,811471845,3888904620,1500358989,2609561735,14124939,1845756304,2351805858,1104989024,7568087440,5316616445,4544295768,102933340,3496909878,1544040925,1137222813,4502174896,382811432,3380745036,371998548,2290325430,4916940005,4653752328,6874603302,4724583790,1513508832,1173971520,3210820252,513516268,3733928060,114720672,708565544,2147920747,3938949685,4463812130,4632242664,95551882,5273985486,1009523140,2750381056,2914402430,6681847896,527108319,4460175315,1575665664,4406154564,2825860252,2846329128,2933743442,3308504872,4388992385,1407841380,508971031,1803938080,943846150,3895227808,4441737566,377915717,3402757720,1521991626,3518214405,1166181522,2923451896,3815425292,6143508432,1461254085,4096408976,4356767912,2219507304,1937798796,3902549984,1093865582,158264674,1980934980,6890925501,1761691740,3316703425,5980906128,1860027291,757408511,290986984,2601317790,249690170,1167203460,1012160511,195197216,3617635707,2152667104,2234807495,7647454575,8803006641,4032854232,4981104018,5285545192,4574848176,3499386996,2684359920,2688537615,608057703,1104700002,2094895025,2089071432,6390850104,6923771981,4438612262,1916206046,3399780559,951122725,557029780,1931411526,2754129561,4395682416,3369921876,1125812475,1552376862,1923307244,3843307302,2085033339,4453496724,815957994,1242536654,439043984,151238300,4309362424,4266261495,3610538980,2948898999,5190256304,2563310730,432213216,757826702,2924496306,4002227754,440553904,832091282,91982583,1079725480,2814243956,1254198810,250603597,1694979339,8088810687,955379869,3541588254,1123998170,376832541,2848801206,1666264632,1593977248,984231906,4120100988,6259409233,1975359406,4194348416,101230146,3008940333,6536501202,2721593505,4854103176,4961498736,1728139122,1300190604,151551992,3857413,610607633,4876127408,619031784,239295906,969120009,3395227545,178249524,2377841472,1299440799,1107018642,1001135525,1870286172,6219160794,631487910,2333764071,4447198095,5090092044,4109059355,3959048840,38834382,2232487386,479107110,2591291830,1613357523,8606776779,655440760,208046570,1197971439,3910419927,2159831165,371297756,5166426096,1736898768,265988190,2447106788,1106030676,3419159308,2538151185,1545616413,1477749846,2732527952,2986809856,1471318165,5346321192,295190274,1073788148,7702634106,2592750010,373310061,4905952345,3428135320,759041124,3185951082,1248561813,715429500,457741689,268564113,19928237,7228074816,251589167,6866027616,4186263823,702249471,1612835571,1941120378,3631903696,685853038,1389582824,3239783248,434644425,6622925560,769728975,789326840,3272411958,162163188,283009032,3352262600,3860084065,804468092,1666953930,6011692267,2650398135,5442742524,421413746,5352509964,2194723707,698740195,2582484424,563568459,36482328,613111878,925681624,2838931101,1830003355,1696399592,4301691040,832983508,2915250450,2710111410,6583318866,4944271675,296636328,4974761133,726838615,2524994648,1175108295,1343033384,6721261281,35598954,1351795696,3006794704,3214320655,5832293992,3829086702,1693591245,3618802901,976881792,6403554087,956716365,2954858595,3930167382,535479862,644527261,841206064,912877263,4462715752,728462548,527652618,943344368,1448171725,3956361916,2555172168,765137739,1779094839,710013080,3256088040,4525557134,4379885940,207689163,48676492,1986433420,7618546476,196023677,752527798,741514830,926198562,2838366186,2504229245,3932455752,514633606,5303307723,780211709,4592716548,893791035,104766569,7265531223,2041927314,3527432340,3205948410,520784298,3446363488,2507402079,8992458414,1657597392,4806511371,760637540,1473936657,3378183116,1363060056,3927349596,7023660592,256175766,4419668016,882890370,3814344980,6675269685,2134564269,4054117854,5290881337,11065518,4997538610,6693826848,6960649913,2548274886,327743437,5629709360,736167084,678430853,861934930,2422430532,2323079994,7582722168,2060429454,1814698754,1069331826,3742489844,1257979012,683704464,6604652007,513338019,1749270804,2309808080,7395704271,3269137755,4949059452,840038146,860279308,423463624,169135320,5068388796,428606104,1253823066,2482111345,1034962286,1211470218,1867136195,724433541,1233715736,82921485,918021582,8609128677,4565962,328254579,3820394865,1720570047,3918784044,4844447006,5718473100,2215699176,87171278,4371179528,4269354948,5926184784,4510110381,5776064478,3651691813,5694732660,3666536298,4542381585,22295498,3388183560,2660836851,2124208308,3158674755,138836352,2449274244,315858358,4379872525,40779594,8666978697,164674891,6688338273,3504340992,8088796863,5890405080,1142433282,758463975,15614204,430308603,1420435210,968315631,1014301224,2138657031,660750170,2334162985,3765384294,2572470955,1835271549,214366498,1023512040,768709266,1900693251,1957877460,4379888142,1866248856,1842770135,2992580220,47543632,3385285428,1259215582,5864280429,223922970,1554297510,3462207606,5384726473,221049592,763792030,348951732,1598162445,3469588266,705829872,1174187532,701923566,338811019,1451990560,4022370342,3254611630,893700656,5636371272,1599906700,2538512520,4624880827,6088609744,1734453356,7489061433,5460660583,2759060304,6565165119,1441478004,1171724064,5465559260,7488160688,1943447040,2939446480,1058692888,7454161512,347858792,507722984,1317243175,1499397822,1510402851,468319152,138997755,1719565428,5365958643,152605752,1675639490,6674063463,2466675720,3456470259,3428180008,6908684433,1461216368,2404564038,307960657,7620575048,2135671254,1997832508,4017429678,6441389773,802090509,892411044,260138700,1235281806,7855269192,1386107684,3350220655,4174638219,173272653,324865010,3405925376,880478190,4050094620,443642825,513703517,8889233409,1514764863,309891348,1014798055,5627257926,2500168792,861516700,2195182344,3774883304,1430977887,7909560376,3758786075,1787930848,505698084,6427982720,952559984,8642590866,6224941933,664343937,381157410,3280803892,663433470,893627860,1743627196,822181612,3055286810,554565828,796175136,2316709976,121318404,32381354,2703652252,2138615965,753396238,19857716,733589494,3710796560,2075378622,4043923960,3394559052,3241597565,3826774179,2067304260,2632971306,6427156330,5909929552,1372101518,4166506825,2866114540,1798359816,2708544222,4515663885,1826293774,1687741974,2135542983,3350053035,298189360,1369263696,1119044386,818944400,4595384695,2064539024,7531326027,2650315864,730143087,955034040,96991132,2245370160,1271649205,975523674,92194794,453658955,6500125954,278561133,3134740055,1720767815,291932888,1641895566,5872272510,903117015,1442571060,476300053,3860184916,7308773856,31263822,1527842564,895521747,3622955520,5358337362,353053939,1255724096,2222762528,1345414651,318977229,973853514,691465980,546839463,3074847144,249278192,33073011,1513969476,291860935,5221446975,2576726140,6152020984,2262699368,3436215910,947289464,7613117600,4180398285,2207084157,1186834455,6341767236,201916008,1854186341,479104035,1891672640,7200503055,8798922963,317220855,346012220,2623268805,2181843504,518560737,580103155,167538872,749834853,2627446020,200425906,41742367,3248713531,620319385,547720504,1260904215,3256455388,406604934,1480937440,837175555,4391258920,877836680,84481368,5580770970,906669980,1617145016,115816012,6479603676,1170821540,3440985894,851582175,723176600,8987709654,1793372860,1117685922,4117163697,2072221575,2895572456,831398448,480264446,557253576,693762575,234316528,1566613176,324399842,1455967437,1147461051,4965810432,148892715,245933828,1420468852,4533234250,869675052,2401888664,991105527,2038247316,1922624725,6563108776,1241078121,392433628,575563602,113686915,3580962016,355860220,966527079,2002087914,232920785,3417737391,431806600,324427966,1939228850,1871488446,4048806024,1856409864,2746969404,360224346,3461174199,876685474,4023997648,6718873167,959997910,7555023128,606885672,2460428778,5801806552,442703196,4573243827,2565348102,212510692,3863729898,1993837515,10664322,3085323906,466007394,492279642,4192984830,5584275768,2018121804,1247848980,8450507322,436604286,4253017878,1151623509,4278582560,1191949164,1346678435,7477034049,986927724,6814336942,1052783205,980376460,3076402380,650930558,2921768514,633159199,620442301,1352475874,3619926024,2357940018,555658530,441439881,1226588838,462011560,534450702,2554500910,5086371104,5975012624,5097561945,1377641276,786502002,2011064103,840522736,517215025,5172322288,5001945804,3058106094,2114730621,4557989421,4184294784,1438317596,1366793800,1578239349,437632842,4081788900,7655987772,486704310,811550217,716939366,1259617470,328887524,1063852045,2315117640,813394252,750189404,3713227301,4291273574,1616654316,895543784,846951875,883659474,2144079492,2074504395,297408912,1327436188,891892122,813774348,3459013688,663165094,976143924,2371728849,2755407620,3230610047,123094240,184103450,1398864244,770373629,724271417,4726185438,2697615820,1733424534,2578558544,2984830299,351264915,3283349004,526266254,717635250,7081144248,3612548952,1435783576,1219755616,723789080,1173923590,1897714152,3351208792,1357124622,3979588104,5832254268,4998004440,3534175736,2922430364,909394370,107288508,6019515666,7042261752,2594850801,197289708,2468634210,102488589,932109080,20305636,577688031,872502600,2887590530,503360170,5945446612,2471999280,6618407076,7618028528,3402498592,3890646536,5106911824,3125716365,109272468,4468498240,4709891010,2905680520,1708120110,2921563480,602017204,7493692509,2416110672,2163822840,3416755960,1136559144,5835124536,1953808944,2809804292,1696407184,2675350440,6937192542,1531032795,4560491592,1152178865,1001348890,2940875632,1010226444,541294320,339866885,821202176,3845492395,4127356436,129017131,6807425454,320141208,1450907396,866621452,4528476975,3868990000,1768160023,2942339680,671422880,2819530944,2599511285,1682232708,2016647765,472372546,2975572068,1200414258,154182120,2128682972,3896544365,3908893795,3797932395,2664872825,1865546116,4922755710,2652728520,1985491071,1247459958,1611053650,1168044876,1765684635,3782381238,5710187331,4415350989,5875112106,905812458,2453252712,6683644056,67717319,1965677400,954192056,182536527,75686220,6812344931,1772741964,2947960746,197948118,3687928326,158983359,2908153504,3930354785,1202809456,4899983284,5962991274,534733599,1905923320,2748968508,378351120,2386324992,8889436161,4117055055,371665964,660106224,1824099688,1406440785,343780920,7179618735,2184501336,2097776121,5932432544,1063549320,888213756,1477328525,2298159948,4644301050,1202887595,62491431,3013513794,3265933445,2213589459,484322082,5256252995,923955090,525833280,3741203535,1483470208,7975923597,3259767385,1882892564,3597503064,1800963073,5135028088,2148979288,114137757,1143889740,3074943930,7135893256,3697522285,2459814747,1108810422,2315913760,163938594,4687983672,4971597876,5645021448,3571931524,727320390,1219887935,481833878,1270364730,3882189515,3898622040,775034532,2386806306,6520836721,3630117280,6960834125,865308888,1036669840,1163665168,2468611410,1168133606,5089693962,453029152,5894668908,5751971577,1830950812,1200988152,1949616512,1362591735,559860036,867973990,3057704226,98823270,1998660280,3357689040,3056690490,1488736250,5997678816,2853156335,1539575052,5347416613,407569172,4956878038,1737940257,2055479010,139876156,5784869130,510854824,2030512626,8550942120,1801705101,1075697172,491626068,1679010598,4790290215,1399054030,410961018,1627650770,1303210502,810317546,679786578,695483994,826077420,4021418639,5720856750,2695651077,1529624760,1182891941,2309169798,161047836,2353954314,2827446276,4987901510,669776082,372806035,1489924545,2917219008,2498582688,1570947726,991254615,5509974990,7088726115,879726696,640533273,65178506,263096232,6711813168,885045887,2400416823,664027758,2613440100,1562634462,8714033181,2703400197,3880756500,1404623075,8137055106,2980767972,1096259228,104370870,6701004846,5164410296,36883590,1150922337,998519960,5444751,762000621,2949284948,4639368815,385668200,388211868,105064844,912901824,622820385,855520156,1164626550,751249074,3370533240,1433705313,108417920,1249050690,6457840983,2458953924,573311261,2892567000,2555092376,337330917,699187940,2185613307,6046689232,4806262035,3365514663,8683718967,5657635664,604186255,4449453664,1318583685,725979940,2122194447,492618740,6319983618,5157825393,1148144082,543032242,3220224360,2547788168,5414968811,4952074160,2464069656,3776596065,1558520310,46817319,4280157360,684060842,1924217091,1895485045,830404008,8558220177,1300504368,543596769,225153256,1060485960,1284191364,1395706604,596610220,1303034866,6118723870,4678711965,1316286180,116464311,1246936248,5617017368,5031382300,8103317490,2153651814,1172756208,8876298681,310920444,2078796951,1182748482,5839593402,3765982392,1915079388,959068327,947958670,1560605352,3332197701,4234612356,2514466494,2430616128,3692335854,1813036904,2021835120,1989608714,1569990190,6212607920,2809466016,1760096224,3818495590,1308836835,971296270,2493576960,48804201,1930009870,252890064,5052685379,497105921,2393212556,8089990434,559618812,1410351285,1245212620,516974686,2265355365,3011838342,4298933535,3823223040,3094596244,2159914190,3726152584,2061758802,2759385055,7437078240,1262548959,674864645,1651584748,2439219468,7529244984,1287911984,3282421096,4458183318,3223414998,251962518,1134314433,3679036210,2389434660,5212421312,8344202247,310852790,2428014680,1168372632,2444807256,2930098368,4173556135,1536254865,5691628160,885437852,7737655864,990360936,4048578394,3564535314,259450652,2015814444,135997408,651526462,530279678,5970474384,3712354304,1843090864,979601280,1316262234,6140832096,6700794328,2205236127,688876668,889485289,296704572,5513190885,1466501298,3925662084,645433455,2898522725,4345211826,879037260,1197067016,5808044024,3334230977,1021947048,5997735576,3283434770,2012740632,3663050390,1067884389,3561064115,862382875,177093864,510836264,788518028,5454770286,223795107,3659299540,115590164,2059176895,2978688612,3313699506,4381592925,1131714648,4763208712,2060066244,5842764720,1923968690,1080903498,1755314154,3708463084,3174852510,1040596756,1482589290,209569818,1014374020,791324186,5591580252,4558567224,1769176016,117507551,1380672752,1869726342,135403197,2361498924,4240875965,1111665095,120954660,1055621872,1667004266,1333961940,3399135129,2096097612,3221052192,201851130,6598543872,3519597272,523206958,3380701600,4323185566,3019443021,2069090165,2582985330,827795423,2583326400,733453810,1404888510,474371771,3599620230,2139594220,3459894120,5209949488,511035182,4862069535,4043963695,839322643,667774998,2183085612,762711220,3268484583,3910122496,3843439614,932800731,834296244,1291941815,873424568,3449692965,192953532,9110010,4547028992,2645195991,4060310954,3598232830,2081842020,4797863690,2016493705,783372280,2888172768,878891670,995385104,2672199039,3766563028,7764916581,2906757441,3870985700,5976559480,4298973637,3490653460,6122440736,7790772288,1840424379,5986608948,7629846282,6721073272,1683145122,1416540288,422236926,3426151905,5127347992,2206569564,1461591176,1176884278,855399916,2970134455,936007895,939638985,876492216,236158518,959574510,602550926,3931014087,755551032,999356196,6401177804,2187227823,984285842,568994928,2096845532,3170771821,493689293,4881121810,109106629,4612095156,395033524,7753333592,467993526,7534174806,2183709036,3053676720,5005471590,2661292401,2946952224,4658157792,1078965675,2214728586,2887880926,3454594308,4425808688,800594373,1295267540,7559609256,3611390010,6840063496,630798015,3957858608,2631284230,7817934591,5340797778,564613405,3932353974,697779011,2175527855,1479434332,578967691,452359227,3521429808,719883663,761099478,12691155,6070455296,1610597224,2552642976,3736714372,245274012,284003291,7072883904,1765327536,1604177568,5244672712,462240408,1911947882,2124236376,3424927500,872198259,881311045,1743946352,2342739555,903290635,1492852128,1996724307,3470470736,1922349720,2413672560,1159561662,3254931976,1175888694,1617219138,3683430462,5712854454,1020351108,343350371,1365212968,3385287400,6623425410,1905702432,4851749520,67231922,2869131120,5429752788,2036750040,2323059832,598936922,3894371320,3680841856,1806392672,1435753431,3056603420,672966990,1822185060,623165128,925476802,1557326018,5237545275,1883913180,2197935632,3903468280,7395562584,1607921140,3769404226,4043768008,439023133,898147215,2993683511,3704041104,574838169,7321706328,569828304,934638095,871854978,4294349635,481588650,348105343,477205227,3572986770,1766315876,1037593858,5298101921,4695531955,3855163605,6238777860,573562354,357245536,4963120568,1321069570,1528803024,3044149135,1608086120,792926466,1057191260,4913179560,1668761674,168086655,3446645028,6198781266,4724092251,2045261840,3601564677,2061252819,1911879580,3075574632,3011264176,7819826208,2650577660,3907121470,1588518020,1587152216,2561379872,2467351856,1465296730,4380882870,4656348370,2768739519,2499249753,3739102808,3524189235,4138173005,4183209030,456243896,243472692,6438928815,6629717815,2772916172,2487203405,2243110428,1992526038,3025675910,3167017250,135169554,6997911816,3770495960,2966079597,6174964728,4787435338,3279671739,237186498,477785901,1658072840,238411818,2609264325,7001856160,2643681656,4714970290,7256245014,743055232,3090767988,5156468082,4333015773,2215126323,989390824,3975083020,4626249385,792937030,1705376040,5992471681,3977198616,763627026,5727419622,4942769790,1745669310,4757515818,641879812,1624542894,1736857328,2789730888,2953088117,1677718090,8041828536,1972737126,470167575,1576997328,1018996080,2199477534,1962083214,3025949728,290364384,831026352,4955569215,1866459999,5148953033,899960430,1956496083,179819820,3041668482,183252022,694644776,8430002460,2149306101,2711300785,29899044,34223149,985261624,179547345,3697154992,750738966,3979494408,2673019548,7909619598,5097919722,117918888,3305219888,4872818069,5163346566,76892788,1341361514,6848513994,3814705800,5980217280,4103572572,1654042080,3644685808,1185996758,706511180,33872273,1216824192,1962059367,1280235332,1770492650,1396036995,652956684,4814331420,5313372561,586004612,163538349,1185328744,3103476468,3724167488,2964669304,2038264296,3565239432,2667784959,8809358796,1257537780,2326047393,3671148425,966601150,8910324279,3912952442,993626245,182123460,63928150,8077882662,1888362312,1634553261,533080765,408857328,6018101550,51148587,272558133,8184543525,4684768925,3570924393,1566734170,3643854256,90945093,438148187,637911562,5233819381,1783360005,1795257288,2556921537,1768018715,1134143766,1805868912,1564913286,3160269007,2393494124,4469598042,1274476566,1732408038,6540272165,8917862490,2915001152,6821878833,1928660684,464434779,4719256605,5905037658,6869718000,190655454,525759330,2865939325,1580926395,2960971165,4485580935,5692873056,297593397,522293800,2815559514,1268673428,3908281620,2759208200,347002767,2474396806,830641240,534679940,6138547576,532637121,1091258914,1105751460,430918414,1644333558,7019756955,2233007685,6815427080,1460031954,5782129362,701747980,1576251342,2108758253,897441158,5646675128,823248240,1634791744,2378177880,1874996148,861189744,7019423613,2714956839,5623440284,3807061020,3262051685,3522036184,2350982718,2309583960,2345810946,1657262716,2182748870,964368594,697826269,2766041305,7460056560,1040215080,4269943914,3735754752,1598965370,6751927557,2100899874,531490582,106629592,4732121830,300634252,1022428216,5844623400,3877734582,968377360,8272955277,4241838692,5952639216,1304319882,885665398,707971359,4703840520,3678275394,6570037764,1014549998,182015970,9981576,2960525524,2059718552,807175730,3233901656,4610714435,152335321,3296868930,201079212,2330249264,3338399236,6248854336,3987543385,3099964374,382167516,2008753572,842038996,377939214,590384880,1072704513,4826623149,305716443,4822954452,1520706462,1334509840,3466698444,332867940,3193621535,3165668526,1466161896,2458308126,858458868,4295471138,436225176,360050966,1239954906,8551456794,5597433402,3575571185,2130712468,907864649,1398423550,2079046728,1164125103,5618161992,1043453100,1075329031,3879950400,6485051682,1147881196,134180459,4312962875,2679731220,4853760751,4551335085,743232355,3514477248,946900308,1361804780,355472980,132883614,4214487935,4828275886,598901859,50554416,131685080,4533704182,8574590475,817853825,1204169904,3226703045,72441593,714785372,2819571540,4827169890,784691644,975848230,1724371656,543513186,1246573685,581167314,3338551252,1458022375,6674481149,2908240975,764079364,556966528,191531520,6992405098,363959847,5967211285,3298586528,1709873300,565466726,1996035910,628367160,296127545,94955547,6323716707,812987034,756490007,8990451918,724144795,315706430,4991718242,587412991,525396998,5670174160,1910610096,3124123786,1270607760,141931668,2337236604,83590540,1126568178,1175656676,1887522360,6524089131,4962545432,976130775,733792635,6212498067,333200756,1961819874,411327023,2276117112,1141466830,3663303858,2232123480,3971418237,4079871081,780183205,1077844968,1368610522,2739807132,5413101112,1584036528,1862706840,508492824,3380567892,2173852179,1832847176,474190720,1079162945,2440538450,648445658,1148661472,7557355056,702539700,6539125960,1916136930,4914214375,5852224452,3568574968,3112843728,2842866232,2057737152,1984283584,841159028,4353927875,427574424,1181292036,961760506,4964221101,374134518,466708475,1982908629,25380574,2953216772,6995373280,1308853350,4374905985,5151644128,1203295849,670316840,3336783282,2623450010,486168374,2642702395,990040728,3684570606,2250810156,4945936177,857878356,2274613184,1714778022,1071244720,3351949524,3354271497,2953444360,1193739480,983210839,2620819313,2647121646,1120637232,5315428958,6190373466,1983345378,468710125,2755000914,1120636482,4691174957,3124262185,6186401620,5797540854,495862239,1872646368,2754671103,6062850171,7077455888,1836289452,3082956793,2395498265,3365656008,5334781529,197687032,4674826794,1653512532,2516733771,1210221756,6878628784,1298573100,1833988765,164470430,2226248622,473496480,3448453311,275550555,4286742720,4576714830,1379435948,2077773732,1652393169,4617838953,3020056352,2726642694,2573289992,1734694305,538198650,4039632600,2265117253,619464012,2772637020,2720874660,82203444,1757693756,3065504295,134240058,455647927,6640467240,3854359220,789416816,7749574576,2140453330,8081539362,2336489080,1723080035,976005184,4839299838,2697931758,177898392,810435492,1349040514,8689824882,162593600,2330673048,4252885980,5379411300,4744302552,832603966,646051372,1449634050,973075120,2968484310,2210378324,882910722,2251205736,3197524836,2175771636,1345116056,1865686825,4695296370,762873513,2016634431,6223797096,428262240,1780807798,1038735060,4753854255,2627810706,1031280828,2738788902,1695757530,3455030411,4061165136,1545176235,3920097325,4072421070,774431178,1176258052,1703457786,3698116062,1289276079,4381366032,2026841790,4078872816,1466837072,270644963,3987229590,546842593,2092058312,3392672735,4584913896,3175642296,1202328252,7514882152,5981259366,1376182920,5251358745,1692295530,456840544,964604440,2607542088,1254343761,1847976069,4200622360,2120894432,5411773836,1768982464,3225277888,2362322592,316346535,5798785383,3038764218,6181861567,4226910552,577688346,4383073449,3461723752,1574193496,1824591380,127321228,1795479813,226026957,1305217708,2500621336,220979763,3320222262,1559258310,7946911560,4928234608,5400235029,1674672968,1800153045,3111034017,1990143306,4742855255,1167227728,741608884,2730981432,698370176,513306476,1179687384,4576196512,2644274408,4855810758,286343686,2502797424,1728449106,7490740280,5066878425,1738952640,5701625013,3260955875,2462171612,15444074,3526898050,4135877172,7910312130,1521032052,1380872712,3345587440,3202185051,2269502600,5741004992,5765011294,686783960,1975231750,3321207568,6631394686,183134165,5193113136,1240217420,2347950771,2698961985,1321064694,629020445,766766261,1984395087,5012643825,5647356155,868595244,967712175,1333193232,2858954967,4210371515,1929819054,1935172235,1496546392,1162282352,2962701665,3889599496,2704627505,4804898301,494168048,3601346382,2451364005,5350820355,357466603,3670456064,1535898560,300615357,2613525300,3210795205,93148653,741572288,1698306685,1863874268,1942502265,272735991,5671845102,2098871382,2374404228,707915317,1032415144,307509832,8118982845,5494764690,571023690,2796657872,2900215464,4052262204,4327818201,7418939688,5289841566,254981022,5113346490,3726218952,4317622848,3627461976,1370936202,296461075,3025252828,5756807413,964336840,616403529,3792630107,1786656220,3249730252,1211008254,3476111704,118277215,1348015000,3838694805,3929186592,3938439303,1360874740,3110971844,1088482090,363920784,4205833877,3737132815,391104760,3819629975,6741038738,2912619033,4388241504,318920914,1524751765,2180808126,1227019707,820856466,1254739430,742911442,536695632,465580350,2238279592,4652902260,14850942,3379694850,659852668,1864951536,5594808414,7449645843,5364959416,753810904,4654095198,533224410,5789050962,3595846348,2145600468,3934374702,508193894,5579632044,1185292280,4295002860,2488754655,8280287028,4552342122,1972014474,2657275656,150016785,309253686,5278564536,2736359184,1990107778,236914280,4444261590,87189277,1148494095,3734024508,5074238712,3311138135,771502239,1971994088,446849982,57692748,1186392162,221353641,1490709145,2518270152,30781737,847906352,2730274515,353989782,3748142279,591965460,4717992882,4743352864,290161478,4637936556,607933878,668829231,190860328,6370439016,852739254,703587998,4772099310,3394912405,8516097828,620901621,2574622232,4457882590,2036072260,1094777515,1482996288,1322108988,4606570025,4639249130,8936092044,5146888936,6731802567,354147204,4859193075,2739174066,1715373170,4622541084,3397764419,5686226010,954976652,667329228,1652582475,1289268057,2466091068,2067863488,2447945936,3228110052,2945763846,2559921924,579412410,1366751724,4572828050,715063800,5850220432,2236822848,1426926186,699314721,1736375080,1649237240,2556265612,3396338764,4295143,1119626,2749715070,3481173560,1349744784,1437531198,6097544748,6068751584,4108832395,151613610,5507685316,6511409400,1660632360,2919613950,685227014,3410323038,682370097,2806588995,678263712,3503360552,2943418920,3258080660,353775628,965079684,517938025,2837357560,1112413680,2082337824,3010198415,4659422159,535782089,1554789048,1063921320,797433334,320081920,992062083,797481036,8803323585,2587797640,527509484,411333328,1860721780,6193423737,3703734008,61471790,6213561525,1570381630,248884161,1182596504,2676148194,4260651205,203420610,4362782768,2542567602,157559623,560278755,5144778972,2648778005,1643638730,613549866,917964181,4204909422,403229903,1629467392,2579572135,6751352700,1652812827,3200746157,440846996,2689372278,4555540500,617104899,2024080857,583761228,4904877537,45347866,2913719619,1378671888,2339635160,566940657,676576138,1256449350,1969637999,875427949,406750600,4694332563,1845833508,528490481,584358688,752192297,2301081741,1663989467,2707207060,440914933,1974320676,7341132224,6942182401,1083731614,2172102636,2569048105,1016745726,254744776,1666725768,6164088885,2413098930,732490980,516937992,420975800,1345265956,3712503918,1423979992,919728743,376195177,613862280,3253892448,1056393332,3767837360,571627906,5072352480,929285937,3704535316,6184076094,2226814720,1392587500,599252989,2918073074,2832315976,1205583747,695378050,2858183457,3671167276,3839597728,2600611585,2681329370,78185814,203004838,5661103077,694443148,1638971150,7673667952,1509424284,392698986,803327184,3541168603,2205994068,2150285830,893986671,1530023124,4028919944,7119668322,1786099475,4618436179,2197814500,4395809502,744711360,4403944864,2458928196,921428165,762597773,121813110,5019234822,3085735640,417378829,522133020,2413425063,405527085,1030478492,8674044255,958546389,1412506802,4282868880,488071615,4579397220,905240645,349904720,944496828,3711301974,6870047706,3081982400,105806364,7828270263,7685645,788647138,3626915384,8210196765,599465144,1299017979,1403401924,442184437,1790711185,835964136,3225626236,1848270285,510087984,2034004553,3669107256,2909734590,2194073217,59731520,1504023822,3919739490,1131487415,376222915,8789424651,1294118838,923193929,2143262436,788841732,3209987412,29870164,3228987258,2813088656,1871355962,283282788,5740470270,5146974400,1828395369,4062816342,1196630580,2064990460,4920423936,3793769147,1803487646,25726386,2783394858,905117098,1254514224,5594733360,4181847453,628510012,2270301813,476458058,2011602124,4520370456,8660503485,2748516396,67980482,3760473920,226151924,1295138691,159301440,1202523540,3382635672,413211180,3224032416,3116368365,759536330,165944106,3687361044,596403604,2498783583,629197876,1196180112,51080580,1719545091,38589770,4181639202,1849090365,3621445272,1558661860,2964846336,1003826434,323971284,913126669,1083075890,2795355339,5877523072,327932568,128598018,385150905,225916881,5250798780,638813136,5201925750,5936774024,1754773560,1710237171,2417260599,54807520,1791550384,222532460,4784684010,1409433804,5803321230,503187487,2721240212,3243495760,5114679750,2567067412,506299374,4990084506,370576978,2562229929,2095580982,2407831202,2548474944,4082018235,850236715,1376017776,3578619616,8252394561,2739737898,413667915,3894944635,3891314964,626578575,774164568,4707365551,2304106665,2123722880,1488115164,751352246,1730459928,4554687501,1778142944,865901404,1701297485,3241528360,4758129292,3780620992,3237060492,4699466653,614323798,1428743628,4432257936,527649535,2167402745,493433917,793131917,3040513312,4135470420,2945807212,485991099,5111208876,649593945,1856666108,1705178316,40344202,4101867895,5451185556,3594874608,3645829356,5699582106,4354614486,3386138048,645120777,4403838368,74310047,3598013544,1133821806,351861040,1415512230,5115244872,1965852145,5847273828,1963351910,734355135,6937970952,4006578426,2760271632,3840406495,3363223234,1654998550,720212096,6927009509,4656626298,8812139697,3258823768,4961666340,603159728,2462174766,4531483338,2392055589,5186555346,2516145812,110523178,2860177655,6121817360,1499066310,2498237248,4961611575,3932006785,3171467070,1525784042,1024612920,5109169100,3004425670,481988450,4881024928,1339412484,7087315410,585898496,4170883782,1716122439,1641920184,716148623,1609510452,1581590362,1882750791,3162916184,1803419306,2278404981,59251665,803149977,685788622,703012481,1600923272,8321219352,3365078577,4868388215,796348554,1274235810,574634946,930323210,3145654170,3671021880,791805749,4887505965,1620614448,3668726850,6528346288,867562960,2038091466,2585951382,4582921245,1408316670,670713780,268173308,752389090,5250098196,5025648680,1251179948,2321859606,494124466,328610542,2732105568,2643683028,4518323307,271647434,1014421896,727565010,499488490,3225534712,987507331,1262221398,2900809745,876586035,641822853,5469229104,271049152,379922,5455943808,126911983,5707918958,1006918128,939962402,538010501,61692795,748304922,3260060044,7203432256,155736595,334413126,985213089,3925405560,870664686,3163184574,1645026304,4708037574,23286816,413098854,3015822825,505017537,56449428,448313704,6032418,573567816,4568165793,547664858,3604253908,69838558,2241707688,100869350,6395601048,388809312,751339872,7283864416,6508683088,7646933088,3065416422,1660164948,3106245770,6913264288,4547738216,640508428,3811940650,402541569,5677269786,1182754632,6301508760,2405835672,1149881860,2321161805,4013603016,4229356755,591711001,3606504216,6404502006,5276348016,4992197266,266566036,1566227538,2746649540,4845430635,2406849220,35679201,3687680096,3767786190,649303279,7040250909,2649173607,5702771799,741772535,323007405,782033686,1669004860,1661430230,2826090030,6435419998,6041725067,5045582016,346445382,8563938966,4062448565,3764570285,2136096512,260513121,4264893545,684708504,2094200955,612232236,1237445336,2109497868,2941352244,3519362025,302210807,8137969596,3893317572,2216027376,2399306160,10864172,511346094,5955711570,3424452264,1583778345,1275482388,7484774664,1720761861,201129326,7080365944,2250617696,5594312160,124421774,4201804974,2366185940,586242820,6620345487,6041441160,4407932454,2154385604,817216141,1885720206,502402135,7547964352,4002281052,374154159,5950927388,2485796635,1738340586,480458790,3448999750,348399920,156897820,4289589620,5208024704,3300715800,2874981752,4287158512,369314455,8644992255,525653493,5112451974,442037184,279604232,6455801898,2113896105,390742628,4199861079,1096094124,332924458,7670669864,6724818415,3522290550,4868583894,502662018,2589597241,3712071120,1729834925,1636714736,4648338170,863760016,519089210,2727489104,887882086,4415404010,535205675,2557984919,3586779432,3013335385,6519354289,374077560,383866529,4258999395,1908857104,6157479034,388685341,534071952,759797121,6407114103,899350015,547715390,694985334,1843699119,955064932,2323557939,2173570098,4541055714,328493520,1249221744,1724209695,2486894560,861519600,215640735,552642416,3265302460,6412939953,2147071550,3819400820,3429641832,1671780448,1573932549,914751549,1786475724,4226234350,2910886550,3399064731,7002068640,1610735352,3207539332,2946396088,1142085528,1954056507,2522674872,4922915580,2585310876,558770217,7900157457,734432334,4287252,279666328,2367477516,986450868,5109490407,7375753480,1699565764,1649457116,2297506104,4784273920,316062,2678950866,4971052467,2875318170,1993667185,2085221973,1993331283,528640956,430432794,1543769570,1706450787,295158000,5851562310,860490150,1151120406,1515756930,341386725,703160316,8967966696,3890378444,7827252318,1662755277,1113533892,675151176,981265391,616134729,1769250544,369062346,4677357690,4584801207,3514333804,784953387,1628091492,1461048970,687225964,791702332,311384814,750784080,577444280,1601414994,247583556,971265356,6782331112,6739645983,2597424150,4388440833,455338265,4889557596,2865122100,4459844058,631987149,2544234795,330697960,1154223477,3360427850,8241264,895769868,3335648286,1078043664,147619773,147732702,623894498,1170120504,1466214825,4673331160,1779905463,1253825674,2243341345,2264190810,996118009,2257952346,4084417290,4207338585,3535050200,4808697402,3176655720,874585138,4755116925,2263277247,2144953644,3872489013,693692568,2240425045,6561503494,5335099336,6330225879,1154078982,974912157,3783088274,3505660480,3925688442,6823298916,1203246351,55448202,1763203554,3522073779,773206206,5048041884,2557996730,868742987,1516904097,7048779040,6627408444,297772611,4072418720,3465908955,223397618,4884869220,1369581784,1121874288,2445114310,1980327036,771164020,616798458,3722015400,672749716,3500256228,6702317946,5525491804,2912169630,1073634957,573555452,81506627,4676214834,433051556,1236433347,1987156745,2078420196,2961057276,31085060,855820334,2228205304,3706190625,6951452616,202766360,2473946152,6908142983,991906781,74310787,1562100,1137585424,827542018,2150482968,3795641930,3362529210,6208884096,8182261944,1898271096,4960469544,6807484350,724762812,2232974820,2329261072,1911081171,3471709788,3865448,4660229514,1457150511,2231790234,1828119942,8126734887,3893234346,4161423012,495597830,4252335245,534110004,2705453210,148835754,906919696,3139195430,1256641818,1951005222,432965716,3699007416,1486374376,4959337257,12748270,6868896444,1670268880,2969035782,6300516796,395972487,6910576659,1529170317,1374188808,4863483848,22609292,344199646,428256202,95730815,1040249890,225796779,441370580,2456459808,5938178820,2788362747,325770536,5073326944,111472910,243344222,1605707775,3613919832,4920834474,1049575858,492595616,4309729665,25434890,737876396,4850232975,5415144522,388376560,2904072648,320945068,1642932044,2875166536,1162518742,1558863272,267618879,1335598875,1248132916,4522459564,7649278000,708155386,188864586,24696342,6505856896,610511236,96603530,93589727,81363007,359284345,279962906,2873060361,2935895955,4579475572,3379678446,233533452,2927035832,1562808966,2462230912,5946169698,433609974,3705497037,3654274936,1778920472,4889598670,2875945320,1948839432,5665659573,843247554,850350239,776439478,5708792312,924120882,4980706625,2651380848,2459678070,1624473555,8118400725,412088391,1211912536,7118286120,28250611,3761383003,209088075,2183842257,5720287218,344132602,1326439960,391030160,1337614300,4833523865,6573876526,1845559212,655366792,681706350,556135055,647105360,109353850,358070960,1646225372,1056069556,6051673719,3572766000,5934133020,885458037,1773304920,447514077,4526305616,39506628,4661375838,1398512740,8919267165,2863135685,106302888,1312756748,2611032020,534152340,1439759936,124692168,3377086013,390890408,1633928684,6999384861,446564705,1338249648,143157160,5593824324,4063720176,6857905374,561736998,5981388672,1222964500,664416527,2394381941,1399586832,1513693052,3815261304,3356945104,909031108,474461312,6395808762,5872976100,100136075,1177955724,2666060895,1704065248,628030776,1513456610,1286209146,4449163299,154658904,23328387,899554410,2681613403,124675510,89453626,1536295180,2530486448,3741671900,268485510,1531495950,168066221,868199132,3037077208,4887251355,467724909,40153516,1585144286,2854285042,6080783317,408876512,19496740,573436840,522970508,4949968125,711122852,5611662444,878105471,7812144520,3310627436,51492180,5427160130,739002730,1302034260,225238574,629730652,2423283747,643885831,2953662160,314082014,634399892,903712008,3958387608,4434941532,1427232696,1645192324,2900545080,7327944378,2898526344,415799748,3038523712,3665721420,2788212088,2631041203,5194654395,3848844228,1095840300,594316275,1879068636,1424434080,4097347432,2728157384,3375541629,980036130,417052177,4825694170,2842679490,2651872864,4590773754,1415528312,1852437818,289976697,1718329543,832257279,3213010992,1117626785,2091849849,785897058,3932000528,1225574400,2943811269,608552724,5881658132,927896872,274451404,6908945631,548400052,7565830488,770983704,5180841252,3963672690,6576242596,770896362,2947599575,183292718,5725126617,831855102,251267060,669087090,288558549,399334150,160196178,16731610,627345060,508632235,1999328835,522971176,1657166679,3411679806,4393489112,621096603,1334555544,4053677584,6257148863,493176315,3047058905,33596772,2364227760,970146408,1138647424,24078543,3328023924,1474154642,4663700885,8338755087,868125965,684473784,1315924001,1314292974,4152721596,3504792368,2701231029,5287010000,821587711,5804924286,6274644687,1033976430,1836640650,4287646480,2332532694,133616528,6224005980,1765461444,1269701385,2470042992,213044922,5447455258,8705899125,5842728094,1646637752,4435673240,697160100,2982673518,2299810683,2308108760,5941882026,2269753050,7952945240,634694410,154472410,3712101288,510546816,474325086,248522132,3893391845,2072474192,8826752007,447239210,3993617502,5256429060,1576947633,4283238816,3816238275,5847136938,7926213843,488221307,2639472102,2083914285,477486246,2801052300,1841931594,1262492970,2124895344,1018843156,4403631696,3570306632,833006828,7226608504,900118158,219211052,4232090735,5895603184,3238264566,6056465528,149506850,575345520,323842736,2894668920,483310908,7225806213,894566910,2758855795,5505777816,2332962324,1703817136,1136612840,69002370,295891758,4532566040,98795950,1741345104,8013854871,602758854,736107714,840433720,758816293,8449989300,133758694,8815712796,3876957304,2821787360,8425774215,2837392551,1718575326,879688785,321227216,3502706463,91919289,7890933880,5544717941,456799036,2915980856,935113412,7206040240,5837993844,347322380,2172177344,1231678674,765540104,1720158706,1876692634,3440593300,3552489876,3314030995,745190857,852410720,3369538050,342763240,4212326419,2500827723,1342960338,7077239676,1275024146,858976785,1185664851,58233054,1685109252,6821081919,135996507,858596662,2230077216,1399611490,4425457820,170565432,1591360612,432687879,3691423992,1572417204,4350480099,3983648460,1400725355,6135381182,461053452,6575461866,3661163523,1241924204,4862809416,5328852781,4190816048,580563816,4068357696,5723647569,84567834,1194599584,1748069036,1814958550,2285813168,607128875,1613912960,4054656305,1659714756,4108465104,2100068026,2297349650,3417832400,1574962818,1825851274,675997401,6703046063,1915411086,233902541,766875226,54467120,378517857,4314031300,8379904356,684238504,245276592,292014639,2427260656,4260049680,421211860,6840373851,761204451,4687186044,5545697382,7172905158,7814165004,2575850160,467440008,1502320715,1865314858,3392610640,976614321,234327400,2873976912,6080562312,361647501,1870998776,59652370,1669400136,1603607025,4367705445,1304761194,668104225,380215928,2725321865,6548877333,1420257034,387029346,3932283744,6743465904,7720160936,293399626,7676623424,3415769889,847279836,588688760,727917337,1597732560,1229964456,3597791112,4388250360,629886844,2267232420,5729317909,6783957108,3762943247,6466917897,813427685,1005044496,576554280,806644584,5955326176,1716413784,666403717,1038604860,3368286680,6592078836,6287720220,6000264405,2633773107,7589429649,5456256952,3440921670,2469357264,3668981826,6459918072,748317896,224942853,3694412827,148496979,614976155,7245536648,4603549904,5095317450,844603850,169464309,5785549902,3702540321,930984336,6288241716,133711257,3155181144,1908878405,2522333225,4450138680,4783816700,449972269,1385318904,124555685,790937796,1142528073,5632156413,913091425,554214996,1746792093,6897737320,7752473728,1404632364,5622397216,1864977920,1244313942,4822647385,777291930,1145244500,5274191316,1344721140,2828969794,4428383134,2184946764,5996620485,2532465219,605209900,3330509046,2426772880,289331655,418497791,6862981608,626734112,647629367,2103794862,6226195032,5215246524,1407591990,3346178409,282869055,1270374441,851135008,141628376,4980841300,1546102968,3253358245,2484563418,1027820280,219976640,984284440,3284784688,5881080303,2151047010,3638574798,1824001935,4341375050,5963550411,1612855575,6407812192,107173186,1648601991,2197205590,990535975,2021857370,144872980,3880816920,669094297,5126223690,2986184194,963973384,1106386488,323360486,1248946148,887232157,4890242784,672104167,2328031055,2119367940,1723516170,117911829,2756508895,971166570,1106769234,5103049720,3660727745,399718716,6783547168,2829757848,240750342,6585274871,5426494194,5020649316,539643168,72771885,1199954448,6066084152,2745018,4492658820,1083640880,7500174669,1458386298,322637235,4561149348,2637957436,4565257585,770455051,1378769936,3565859610,6188960456,1029961611,7494778280,3847067660,5579355870,4497080882,2469880410,3223096254,5986507352,2528320836,2533149710,154068327,655193352,4143600175,103803335,500988624,2358123665,1006012868,491352176,239878045,571440504,3729695775,1638386540,2882845479,914454430,5561740143,5129854650,1445386968,1678164364,2207592786,2352537257,4208645040,274216851,3252800768,6703659981,4908681841,7025448951,825804557,5620653290,1880775222,3359613370,1512119115,4127439290,6845533968,1556556744,2580896352,2678607522,2923036564,1061456078,2452715577,2658775224,3935253520,5532760818,8712932949,1648205136,2567055756,358650552,4485869667,595494498,1365724494,7000461495,3283537020,369552640,3643970895,6379540538,2475605320,2047411191,2584897850,6173672155,467354540,5747820316,2536203,3237142015,7835364472,887649115,828765383,8332300242,2789141910,612174319,1805167650,3017553968,8924024412,1160948256,2442480981,1770950116,72067633,2568041721,1358327304,1845017520,1097443850,987417918,5829733206,2136280422,956269105,4948374232,1397997080,784268366,6885376578,1371168250,20589372,1963161641,1912428007,1565515992,841778412,2552339700,441873684,4754918448,4798508244,1711729408,1591771734,7155839904,2135647392,876925576,1319043208,1828176510,776324861,1554527028,1434928,106263420,111065699,6643148697,3934766395,6824242968,2614750050,1757348046,388647333,233938416,604075321,599242189,3524328388,142426258,7901636868,3275272700,1525766904,1802629086,355485892,3024160167,203500436,5797965240,783901209,2596966944,988285539,5852232480,1441316373,747171472,751134672,116095437,6652276155,3622639986,1290059205,492667914,472891043,5836772898,7157458854,1807181349,1463667802,5824409542,214886888,1406144930,1516102056,2252417428,1523656238,774289531,405704104,7137389394,3609926712,3259352920,506622131,2257182933,135490292,1076962701,5132498322,4125829281,1325396202,293553052,2538723173,636672980,527126748,4697641977,6597915408,952330934,1914596454,1948342390,559482128,1836278190,844159989,1929829716,1688819902,4245888703,6473115544,476155343,982104234,6958729449,2099210520,6961954456,3553163229,998785084,1954398796,263455637,4997056192,188257695,478802472,7709187816,2568236607,2605423832,457191798,2660574444,823998536,978456951,506732685,1152292020,2604482916,931176251,6373514248,1108207583,445225874,1444187586,799011165,575536618,2384190016,4112311483,980360393,3785483855,1418493766,6793813112,510872050,1307021942,132518646,1367143686,1058849045,553947711,1704127872,691905075,2025695885,3857583144,1851112040,3222170094,7519744980,1223632250,2937419553,6187643217,815401524,346383382,384465241,4517022918,5959079001,4042525333,2440789689,413757725,1730247956,1195861014,1667616160,6690111463,7031207544,1456396772,241430819,4303692000,1384189060,5586527628,3331040390,458155656,3963497276,5398688727,4084672320,899974406,854611324,456225456,1699399017,547991370,3371713768,51445700,181266497,383989504,1725151274,736312260,2278340985,4627704403,864378049,1424095090,1191624301,1350678048,919980625,2053524510,336481783,1411989759,582028852,1626439325,5861260482,6071432094,3114617898,67598766,1275236422,2829644154,6916914198,100912029,56484304,1303830918,1278929676,87758832,2318871270,953253630,5757617250,6285049614,5738501922,1022012960,5105874726,2167082025,3325108302,964095728,3231260628,1125873210,797944860,581818527,2210649950,5530529655,1821849552,661986760,2530277898,241465644,638420580,4753771350,1434855074,696652789,2885086575,4297009435,4805967085,274744482,746967228,774692586,1201430865,4444229016,5486337892,6464041785,313258668,1554462392,4437510248,770012958,4644944784,4954515291,3734273772,4306101399,252953622,6554446344,3719718120,2159304726,1095248732,1770838770,1379198880,6570006822,861226062,2887979136,1933531680,1270097070,934664818,2991984004,4641172767,2974449519,6351081896,269687604,656005329,509426085,4576219395,3019735720,4440614298,3242981928,661847098,87088590,3364065564,5749480048,481941704,4122454689,856538626,2483195568,1997560040,490050180,3215900650,784599184,424201511,2171063948,901994565,336878964,734227776,4389755685,6923950144,806465801,1290962816,1788435681,5647535916,3174290721,653775680,1429703252,5449674784,433170708,4588336354,1529706552,3312296645,630544136,1129597725,3969636293,2982046215,630789116,806397282,569941584,3893882936,1747972638,2950369002,1009262615,1992736300,5381892288,2518154493,847980139,368144452,613208741,1736387456,590866716,4685532915,3030040416,7793088760,1236883830,767202500,1431962572,4346302618,698042388,1861288165,1514068854,4008224466,2283344976,2872846629,5806001131,3450178180,3626005260,1434411769,1174760280,282213352,272554016,1521150968,4539622602,868367122,157023460,346085160,2344137165,250901008,4538137740,425185650,5474731062,822968614,1945864940,1723772840,3753939272,230615883,6165963482,2175974178,224967853,704885744,388175310,523803549,1158901254,3344367425,3288496960,1675550992,1407821768,3334168280,346763400,465531265,1627545910,2812399200,485831328,6386519454,2831602542,194201856,1806862184,65247888,520769541,4940156970,7587656808,5708836809,1503168975,269283583,1323275566,6849503336,1830320440,2380172488,6552861024,3673581452,1799230832,5685201736,4687934994,186369018,442482621,1976369270,5322680139,2803836939,732788130,992910114,267130085,1922065206,802283650,645708994,1716518005,1312092481,7942306672,982650259,2874545770,1933724200,3199967556,962679859,6661348176,1521616744,2125210176,2551067984,4426454914,5675519402,99542885,225147492,156697254,2794491318,7429322560,1581905006,1508654535,917800331,528599690,3049952136,4145973190,8428965372,2291629948,278231424,1226939616,592834532,2532408864,3156214564,2654886080,768995230,2082518280,3248033145,1093748070,440135544,5483261518,834425158,1761902709,2160975444,6384643972,644445510,4803769176,650113135,1082874978,518688483,3043509935,1089618990,1070516592,731114891,4459659960,40656202,2850494128,121350642,3061298235,1221606732,1830454542,7850589032,3834427524,1848677799,166443366,4948185697,309428796,798661679,3328190634,1340167365,2400384795,3820023216,1531161906,1395589216,450148952,947100160,1254277608,7124340195,1048906728,3241577625,1732926666,2729470080,379992256,1579984000,689002928,2757581073,7944377712,3465235332,199601877,392600050,434354132,735370300,5038525793,4594372536,1671002766,3617462742,775324591,2166382352,205326092,1854173388,5768752440,5957073968,102277030,631293690,5550472170,8464494789,4626274485,5180039320,3659797112,5543269614,2143649186,2939934270,2507395212,3031145397,1697847504,966667677,1988571552,6913225215,2427086268,6286715388,3170072088,1742081955,1436750360,532932869,2496846402,1891384648,4804758070,5618642610,3053737988,603820292,408283334,922834092,553353858,1103016195,7009172928,1164528780,2908278876,352494898,333633134,877420838,4466446397,1829859435,365392888,93779732,1885985214,7148040822,2601157072,2866498976,3652752680,1229193330,1633693428,1485725744,677195508,5691554128,1231302108,1948683828,2927086356,7385675967,1217259240,3486977550,3284565123,5606476617,663051126,438821034,5471827368,5720145944,752642918,1659210234,1738597294,579723282,901465308,2607109816,1236158908,153369708,1926892308,1333705806,2866459500,3292359424,1562076364,1539094130,4695508218,1017318304,4002386274,3629327748,4811364270,3818215056,2464950114,1148166004,963192312,2287674884,4892369573,130001549,257035634,608988272,5093406456,514938152,5907271905,2854840961,6339858280,578236757,4857744665,1210781852,2546929904,6898220588,3110841916,2561728200,2959641560,1518395915,1540358556,2508368436,1990341672,880469510,526307503,4077792439,4202060394,893443884,5588651112,1900963776,2198538441,2539750688,7292146656,314327354,3248942888,1660785904,4342685004,1245446722,1217310016,935244230,2871774786,5661697224,2148585822,432885953,692179299,6470078600,4562606780,5703814494,2986466229,2218864680,4159241874,1804926942,1376260340,1044856730,6753634560,1734825720,4015367760,2028030444,2524432554,878317846,159920682,5621082054,4800248268,1101680385,2004848775,2233508118,2137542612,467973641,235078024,295465914,7241756264,4291222680,3198411018,7162695000,77059125,306507324,1490772556,3936972150,82646112,2370783711,425766774,2344333996,840901950,2013605028,1813663250,4486752261,1542462750,1070709912,670409451,2196817986,1034874072,805815264,2653739595,1254323487,1141918050,957541090,612407800,244081084,905834898,1393971944,5325348742,878154370,1354574724,1875531330,205693794,1785780402,1898726912,3753684501,6367178608,4761710202,348878446,1364919255,3158318562,3307794208,3219609445,2237146940,1853782944,2354823960,2063674464,831840612,1601148634,496889873,1982829918,2886269640,2909452278,3699110784,2799642699,4661271391,3842648280,3195917490,5041228552,368297442,832580510,1534782344,3514048932,1921850070,4241681584,141017310,4950889893,3101702680,4372411918,2705079976,1394506220,5502305016,7568670762,6739850484,1062305820,1552759684,956369487,258982035,396046285,6053360336,1978502052,6221561536,4867202400,1420155472,106314719,33154270,725107866,2947578420,1302856312,1221039528,5305581472,4823699544,1757970222,1998639528,7829503464,2645859272,5805329616,996334981,1382629656,802896204,1346716744,3793591130,4318746939,1042746300,3362835159,2345980775,1665301728,176177197,1628313798,2758949448,8056083159,3151264464,26280944,86756448,313445035,6893035960,1448096298,556557948,570264828,1636730656,388416812,762017256,21536610,2569312980,6875273566,19589343,633493940,864231604,98415929,3787856190,2476651835,2474681103,3516103580,6273384033,6524007568,7949625489,446025933,661258851,5156720757,568657675,80420634,419293988,740883354,455180428,583889883,7029920844,2136899781,1299520130,7444218192,562702620,762152628,5792447206,372422592,6284968024,2649193472,5615325384,1609031984,272417130,8038925406,6243814353,758648083,853208176,4847692374,2309447892,2656070431,3032664852,468477102,969104496,3449632716,2689035937,181249320,3413927916,917168444,789792259,3514856256,892762350,958023580,2164141734,1895951022,2785679085,599151503,8435018358,5487690744,6877027251,6756653466,2883847254,7209144176,3532767936,1134181244,2977196724,2977555491,5398170645,5752804176,827687348,3316858160,4307072203,1746433386,1950081004,6182690272,922112200,453520462,2616456471,5774345017,502332678,574750557,604726280,829626678,6812584614,2320051173,290444955,189643548,624964906,5653651892,150753976,6276010720,1614698890,1232194856,1862564302,704154395,938277585,167698677,661282371,2303952987,1174916460,1921831344,101824928,2454519335,297702078,380028061,3568088440,596126916,368092392,322443320,6596250354,3523599808,5442616134,6466369602,4829373790,5421484908,3997933424,6042497461,161907144,2744934489,1566906519,803203690,4664924900,1925748970,634977192,1739925432,521071432,6867109228,3953258765,1789987944,1087990848,255658920,2506457015,926726498,6572858552,4300204968,1494216328,1265530722,5009054480,911878770,7396072983,261083850,3201010728,2991534012,1628602736,340391388,380840528,4267727035,816133421,1296996081,1586699926,23432477,4117487964,101204290,667763607,4683700880,2353694294,1213406178,746274720,1344511488,920196972,1766246382,169095744,1572288870,2884683924,3108829032,3933630012,846402242,5723887698,1280006496,6650629182,518472702,2260401096,784578903,1538060205,1776570460,34993260,3701324392,2535977745,4581176430,1636809396,3742874324,2611683864,401805102,805937604,6139138761,397382728,869301501,1447058706,7050198848,6482489139,3928035600,215475218,69525956,3938504000,1406632340,996626450,382591620,5709257433,3134729484,6282900784,3173734863,57609312,984244082,4652143930,284259632,1992187036,5594456946,1856688864,1791958782,3180886608,3332061376,5732380884,2215002454,6884256540,3837998680,302467902,1585169142,8978604588,105339552,422579148,501239454,1688698761,5420767992,4618749480,976039110,1581558070,2538361248,2530591070,2876968008,2195123070,1053905384,3799903320,1574255682,42945246,1516392624,3257721460,879127489,4953810071,1422885296,3366507840,6171923884,909283416,3343002828,2057982810,750033841,1926921787,73168940,806661686,617043967,5347298224,461099574,3753509700,4240847745,917480768,2784114720,2316381390,100704450,1615994506,780578346,1260185895,2990837289,1860307075,1811413332,7823640294,3594942155,1741678704,1773441624,1232401470,3285605472,356212144,3927788340,6444620163,3946230128,808976536,881256504,1918252128,3658733934,5056035750,2232403212,4896088470,1702722005,4664895354,1065304544,3107316475,1973092212,7970240223,602293395,7880550232,782720136,5463586944,7588862640,119440161,3313442060,980499730,6256609803,408818964,271859308,4029146424,3714391624,3318600502,2012992195,1410530130,7332514821,636552601,1314774594,1475933934,3290219891,1888516376,49530765,4789791184,980135112,304994193,925720857,1752895380,166132863,1365295996,2686167220,1885708254,565288482,251644750,5532290029,1947178636,2957564517,3132372140,2275734232,5337419766,4458718212,2870951328,3819476367,2962897968,6014416345,1053578477,5631126616,806864100,1234596636,1045120946,4899777552,3676034728,1921991332,753898674,4556963056,476585660,1906753356,338335709,1166864472,291779301,5134570744,2484197067,1822859975,3485206880,436951576,452494006,3578574316,1810688112,3205680522,412822762,3025277736,2598081164,674775333,4656072778,1908157932,901908347,1432303074,574152067,651428474,6709441515,1385868708,1288341908,2411526015,777685287,881127831,3885374961,709474753,353833122,842187059,281168978,3974544942,5870204082,6945433664,177884931,4868149995,834595756,1104050868,1920588365,138509925,2573287497,503463561,721452735,2908434204,3834530928,5642288592,1692897624,209037944,3943005695,4444335176,195905754,140812215,251695802,1428720660,992494456,4301440770,1174882578,5155080744,1865662712,834893826,645380076,1553121080,1942129292,2870611280,3334500351,4865148312,3934673162,1227729372,2856757188,93997318,2823989658,1364359152,3234043820,6709185896,1256354050,294818041,4936315520,2131645488,2033181272,3806608694,6543244143,42102624,7570253826,596334323,1249534494,5740468614,2043854376,3335807620,1199858940,4173185706,4339080020,849362260,718521750,5040605862,608196119,8510487525,7068527793,689337378,626456928,520263365,3739993272,251865530,1744686624,394544439,974576820,406420938,4660782410,179947022,117035460,899932226,6776572159,2852946500,551200364,6912972400,8394816969,4197609353,2300169291,3097397472,2293368976,1255667815,4156246704,4440724725,602430170,1886775720,8878973076,5718751515,1370436820,2482159131,1080636802,6610711976,3476616480,8152372989,6057015576,4920464170,1625702725,999296102,5277047208,3937117821,4175978112,267439744,3771088600,3574675680,1229536498,2875260885,1816413208,2144377686,5210980257,1633869488,6028850835,3037200102,4410710631,1786824956,278856972,608713,3344750616,465068844,422031401,4201891080,4869747672,4753040600,1676767115,2638174116,2604863763,2580970923,7649311824,840383045,4327875891,5275082896,1843693902,694198718,194939934,1384400530,1534644975,1332065318,377584482,424995636,209817048,190652272,479496770,181042278,310786648,437145076,3521594048,1780287912,362460408,1065785547,1023987084,2556898335,948800080,1590893178,1005807415,1979123552,1761647676,4218499225,2771659188,182895756,4634590340,822959184,1573282216,1227370688,4990596867,2578819566,6635456664,2732734585,8607991032,1700944296,3905357859,851964964,1520425614,4248527958,6675246512,7761065499,1836328478,270240375,941302510,2169838008,5257837312,4107449535,73092716,1444263228,1779165855,1980671995,1440270830,112285182,643831868,676276506,4289682672,661548051,3735725452,2620482480,128583950,7580391192,1499655640,7098266484,642610622,2497086410,465739138,737389570,500153154,958601922,5020063237,5648041189,5400756520,854521974,886565232,83331161,5502471863,1496638647,8059913487,8901579177,3758537251,5261387232,62664487,7991547088,2278374304,890644893,1415522442,1223280988,2545974216,2108207739,5535236328,1642149200,8713500858,1543874576,5067333733,3806921180,2545029250,2167514262,6518554385,1051535750,1997670456,4294961140,2777515951,4140474898,720255685,4208127136,2348043075,1409609492,1956138570,861916858,2678347780,524398809,4310551776,40807632,4057201888,2619781500,4753639730,3922694008,178412568,703084919,1398968852,1809275352,8822573820,1356722368,1130207484,4943856848,175682270,190881032,3980380515,2297191945,974363066,5424150000,1972801688,1007766965,1968873408,512781863,908658541,241212530,5194944872,1920670528,385895852,2656843580,716806005,2756509110,2971361490,1575113132,2477454819,2729413064,4276323885,4420691748,2545990944,162713229,1258076472,7856741961,6647216528,434485912,677857940,3520215465,859344616,3652391922,528860415,14694666,515059256,2191001157,504241192,210864442,3017770855,133579180,1729989585,5704500321,935967450,3742928648,3629204920,2690958330,1769773194,4549608900,748613457,45657649,355458733,6911838269,3441065412,288429152,696153960,4946345,6782915061,1499529282,67401570,233276448,823961136,1671555592,1282595856,1052858802,1596338912,631878400,2101437468,8254629999,1562199458,3689136228,743752300,3872183912,958115634,1543469846,77766661,226553136,2548839756,66335958,774306324,1696934336,2687742432,1604821851,1735960405,14629311,5904457286,1342766799,240168462,4849150386,256746381,2392941472,627491136,2124178236,2241467730,7512074253,224852992,717080896,728706195,94368904,420041776,1997123560,1558965940,3369602680,539383456,148302135,4808388222,566243745,2843657502,1055657754,5635041552,2955479484,1758799716,515991414,3792693744,1765196492,803806272,1631114308,467790540,3840705952,6287841420,935298539,191182056,4308561232,1565225584,6695880513,8215402518,5882784,1158094220,1522470074,641880202,2788109382,2649304458,1508120124,1548926524,4215696174,2816961184,1593454764,2626537740,2902623177,3909353112,1693010846,122370976,152753610,841904048,1976214445,792979045,3654202768,2543672992,5294179191,1436584580,1682741414,67445181,1257249350,1017344268,26834766,1288807386,2773717275,1073415346,1878209956,891182479,2114303817,4349517990,72564825,651983748,6423782373,1172566485,2693281884,2327396760,1403691740,18118177,7095001779,20081816,1919798804,6215381592,247103168,2900958105,4050206468,178318746,3057769096,4219918280,908167590,4451550528,7742609199,877070800,254323031,1308535110,3458058877,2981182420,3354549870,2583073144,198898698,2729151594,1223111802,5928833351,2380612380,1021364074,3036405090,565786140,2700533364,246083186,1413366732,2997166983,4489154610,7307698779,2767687384,250337408,305864560,942430544,3445576528,1659223760,5186752119,1312430830,894399795,1761219104,816207741,4624061550,2482883032,3192286554,5394810736,1116517740,2980671498,2862932508,140648744,6781992952,516377840,441323511,1328343698,611873172,1616193264,720624640,5613984486,788735625,6996510448,791787059,4086413920,1166745105,260170022,3926928436,1491270720,694258652,4488394395,3751453209,6064496672,1844045308,45561778,1117350752,4572211239,137192436,1925269460,2009811537,3711912144,2210137704,285652590,413392861,6609254722,100420630,2404801104,76037860,2099926485,361009234,3330805568,3890837288,734592633,4448030815,3466797455,1093782095,1455483494,3931802487,637721415,2059821694,587414076,1270862726,945946045,3349702026,2138552259,1893733632,3374797590,1519834770,3355408748,2772187020,852962675,623300136,2529355728,290386065,798007454,704288768,366766002,1411456242,3200430149,5272454392,3368797024,2340513390,940594866,5875672077,192289602,2527979776,2471493925,1422622986,266899514,4576741008,708384842,487593294,3987564872,3070938088,1000314682,1960707150,3216481385,2067188815,8778195378,1264046189,365651824,2284982048,336306793,1108011532,4010406715,1979891366,4475099482,89221158,1426291832,4727614528,2770085322,3224405842,3549998596,292093842,5044033472,2919801816,2688079680,2983732332,3557946132,3889497753,6464917710,1492540074,3996539008,2113613055,4064304525,1260204820,894103334,1629813417,1179325350,909479935,4221071620,1462795683,864227315,3613727538,2012884345,746678527,1435407016,595468657,1290818396,2160988545,6536987527,3772697530,689770605,821236240,520498764,2882491680,2361207432,262995354,5487911282,1318816776,3444774755,5373365600,3502792080,561205236,99552796,2464961408,5847666183,1812693940,3080965680,1338389482,126221412,462221290,1690123166,7084860864,212525660,1146496644,5371972866,3995633525,56342370,2200467642,3194340924,3146324980,2040082408,2495858157,4743852240,3971694152,5199310404,797281240,502648440,168308176,3622164544,989748234,5518715426,1232321208,3613426916,712118198,2014620510,6147040725,2635229842,3736331512,4917935175,1860704886,766117760,967259789,1765794352,2429913030,3562796075,1269584908,2525323401,220119078,7302054496,2555142405,532485832,2154581352,2491809138,662697974,11152762,1309660236,1318886829,691684960,417835242,6878602424,345157344,6048836486,4291074060,670217258,792908912,3316321225,4230352440,3549948410,1155094860,2608797960,1883010480,642555660,837712811,2745522808,6042956859,3850240104,3794510316,898151156,6769398888,841322358,64905175,1667635994,651510611,5525583490,5312375040,1823040163,3655617372,1908354483,1716907520,754389384,4164855264,6212599136,3568775008,2932535649,1270818411,1087680024,2436323655,501379507,494755040,2515728906,5024568430,754088038,7572812238,974440040,1689714100,622237991,8145945720,862253194,946582062,1764622020,1760092235,3214446489,2385877960,2489700595,2991122856,2085129592,1667983530,1489928618,999232926,3258448110,1999665447,78522606,4068436072,4597460040,573433109,4010165766,879769944,575928408,1384933862,1881715648,3812507868,4643272095,276850148,93254959,924812937,3715723325,161680072,5472247086,487174314,665929250,240734176,1311301952,314463597,275838372,921929904,4252536728,927962577,235503499,3560972010,3502949240,1226771804,2199694370,1398097900,2181446409,4060105720,724993710,1657373166,2955884215,825522870,5772449259,1533254316,1746027622,1908223148,940897710,832437545,272548440,1105624078,180114534,2998481450,929415459,1944531350,2471056217,5724408195,7311839592,952328008,467156386,5075889003,5645017128,605776346,955643853,1467469320,2622128768,3277899387,7143258159,5560335072,369157567,1381897270,4521638688,6825835023,2779289565,674256360,4118978898,455376729,2026745686,2861768652,1517442532,1118060286,2839094840,5715685314,1663679322,4748216412,1630809594,581691292,873621754,511199290,4505946221,4356690560,7197905664,317895326,1039941805,368939442,1515021982,1527963510,2188688193,6315346114,251018784,325147458,1536250932,1032961075,417427650,1761784775,3937230044,1264157548,1085236006,2039050685,1696595306,597489702,31667495,1214633316,70494635,1895218184,1459722360,2557560420,3550481155,2536671774,2771554688,1136171376,5250909252,1422656585,163748768,4371408792,565459588,124289286,656886819,459592416,3166687885,3891535568,2467967952,7722507000,2309816931,378001232,636785470,37570848,2175763160,5266210941,842455329,694061645,2860670295,6546800259,4088802825,2249336016,2046206568,4277697192,531970963,1967871332,5952213155,599994656,807600273,3147857797,3108954976,543347226,1013992552,1919827782,2422810145,1731277527,1974004424,1211037282,944942004,989674965,2618331725,711425105,956342298,2298510280,918313496,1969439,433242895,866854808,4486458753,61019907,2525149032,376017951,888728706,2068086310,1544685606,7469774397,213335592,3909764244,4697227283,6149843648,1908225066,3188457280,2196846618,4863807054,1613520324,1592997285,1151186238,435124410,2336663769,247537270,128336846,5060962416,5988289134,4398614225,2190247278,37039543,608628244,4088377965,2619713408,2320956762,603778592,2455078668,506472098,1679569752,1379511108,8526108906,1005126864,534119272,201496845,2749271232,1792551570,847460345,306383308,5162758566,696567822,6584483840,615113628,1704773036,1279850018,6119813025,212385153,467884326,759740162,1353299180,3501891281,786669760,2495197983,1144383196,2803059320,1076470944,3006048335,1625297931,3462662868,5638954713,5480821530,1580486940,449730065,703761344,5190378298,543934116,1180727428,6122993022,4671961803,3222306812,541329399,844845116,94306992,341009538,9958536,198667661,192913904,5819589167,1957685985,3294771480,1297716974,1290944667,3062266191,5193265560,355055148,2674343724,1774755774,627997254,2634690820,302013452,2705798480,6861088824,4511158576,3483789000,1286826452,1382315925,3413254520,4005004520,413410302,6343698200,900091304,1146445179,3410332120,2287480348,332469492,4550215425,726017907,3060116031,5546107890,778415874,1011087318,1634375810,2278495845,696677994,2099395070,2748119832,2310267250,1290559168,4855845276,539255162,1586410847,498132464,2071152270,1869721035,390956442,4500941706,848073732,604362416,655204904,1167484896,2984068843,5277538952,3656845550,8782413894,667380798,2830608756,1105525773,4655539998,1412274096,7615135784,6300836178,1693466328,8041309092,4108927470,6063019767,424720032,298404660,1487386902,1215094221,1180107342,2987202830,8883233505,1715610760,131175372,6743614203,3155604152,1292319184,3142327448,515766788,1099777797,4148741880,1670387631,110459637,458014836,660299320,149757720,899939194,1495172091,4902173248,14817336,3470247972,1217018664,2268112112,1837965693,906731713,988264948,70696516,1666347394,2561240348,6138216553,6873515120,287709274,836672376,2548398717,2701065619,581430988,2079869670,163326837,1998028252,1300526868,1687453196,3291681897,2963946728,2202706681,2005021120,2797983500,6698060352,3600181444,3502431837,4260522519,3480190872,3379676952,4985144555,1099284754,3189156004,3275438490,559295692,7613189775,7445924424,106003514,6656459243,1165487238,907821390,1165900240,7597239417,3677703655,5022028472,1733900756,1633894910,6771192544,4722291091,820244510,621103342,4616277234,618669312,134793585,2673260223,55857774,4437474699,4941144552,741599799,1610030870,147992335,78231660,5270758878,3661178230,742177424,684692277,972777532,883290669,5322492936,1395954468,2805594028,94395726,6359426080,2218476616,746485158,7009083378,359850618,6389072928,249283832,462062509,544296681,3958446285,1071083778,908463392,952156073,4843796096,5436398394,377451980,342996026,7366174074,466418091,4676444215,3383432752,2396124585,3300862360,4657234720,5342229228,4235464,2067356109,664781928,2428462455,6541470774,3185770104,2214403749,4498811190,3267306065,2172080932,547946078,2601112146,1130171960,1429559091,63535527,2093978931,814441326,4721336454,2871292212,756536868,2577634504,673188581,1186355586,1100319738,148841280,954511326,1922385015,3138104658,511807738,1178341226,6172217464,118774630,2243985864,598427536,371851948,96747630,2302735868,150532482,1841284634,2065314096,3060439753,2711893705,418747505,2078526900,3032136104,5115914388,3983425375,183983700,5507351634,2630525148,3849114168,179163768,4601491950,4898790280,536771165,5489153412,4378252750,816424590,863635288,1302934988,4561584813,710574256,212887114,1747546560,94146703,785018632,8204871960,708729712,1051812595,2892585549,1030775530,1694959872,613293200,5432055684,1681828960,5048067366,3586527924,1238711056,4805328592,3541810296,3617244628,5503195922,5210498457,3024577260,855357353,1733828799,3398369352,1066284843,831837516,3103130944,1958020041,4023353943,842830080,3839854328,2332457988,1096740008,2089551918,2883806128,5733549168,364863992,1289704677,802503657,7346522080,5707872422,6021813840,1296819858,6125207208,559867339,4787452107,766943106,3172130356,793822652,2276105151,1526717697,120888815,356438882,3275074060,5605634646,3301565070,5266913382,4037289498,1187541009,4961984605,670291767,122878896,635874472,2551449798,5267088720,567387767,2206121778,4551964296,6231700041,6081498702,2632440060,1589268003,3095912958,872391639,8871128523,294720200,608504946,1987133080,276534426,2054166498,3745454550,4027086520,5880620052,4421250564,4659830555,718912502,431880276,2755079485,6625893699,927639143,606998432,5889757896,2670365964,3685561224,1930954210,6859919010,826007724,2975336656,2281914186,1122543672,1359644566,1350535872,1177114260,7852685940,6910605541,541425777,2172302667,2904461616,3685969881,2915873040,1229334832,2319519984,3895090209,247500261,487892427,1002003667,3928225,1415443140,2940792576,1571085012,3947108400,523836074,2681382906,163775270,134294130,3125796092,1543530920,4314720177,5857791522,5617190205,681467928,2518512606,360887317,6517211211,4525669015,4303233545,3012294859,728594356,1414215132,1404211936,399082023,515262155,21881704,3821173748,1777316740,2178515862,128639454,2978322234,1904997255,6840302526,1105621794,5208184338,473325557,838475088,892470493,709560616,378899883,981499294,944408070,6593537069,1797181743,757539485,696396416,2249468934,2394299985,4929657957,5697528759,4445417540,2316916432,715813620,1803723795,859988544,667920708,3488582826,1237284725,760814596,5878202160,477088910,1636447824,7218393048,974323562,2043896154,4248616925,2975349404,2823854996,58652800,1866325662,438548061,3234614970,6794536320,2673506402,551100682,927117303,1022855796,1492617515,1820730096,6213691372,306095507,2680946058,649760263,3910789435,6687040872,2633173875,2934549180,109511439,422934442,905056333,483193176,3252367685,1123702365,1452935241,5393272128,7741506366,1863483344,1466766930,1148114894,4485340356,3115172226,2696232120,280493632,447719708,2123091460,1177270652,897916232,3857852064,6311057436,743107282,1094169662,4952276484,1864354266,130158000,6654615813,3391740645,754844239,588508571,464044448,7182766528,2654052723,2298012108,5330080648,790614720,3364860065,126880608,891367905,801574993,1450288032,3444058044,166213706,4195076210,152310333,2150078451,2584543344,3107540224,7669693816,447099768,536724516,297382940,2056348160,3850119186,1601521992,6377109952,927110865,2457665196,1505777590,187479220,5381244176,669800634,1252504125,5208455322,1297614152,2585820510,1587401275,4258531112,2807380696,4894748306,2731565430,5672828704,2404106571,1255303502,2904218620,763599516,1964373669,7790345550,5202990186,3742810980,1705450268,4907912744,1915264476,4751552316,1757801769,2728277332,6713066088,1783237491,3003599310,2436609944,74200328,625709521,2408321783,2952508080,2906817612,3934180341,445076540,3643680528,4457603154,5191959290,638761004,5537174058,1345175926,2505647800,2336056100,800638334,1904862396,324331600,170239848,67334541,2778541948,957068805,563146846,95407724,824974521,1958353691,1330740030,2173292772,1947656552,952318509,810773775,163253445,1648174810,7271916688,1182269184,28493152,2634575616,511575822,6490815536,4261609285,40028690,6264284964,5189586416,4286910920,2568927250,996299085,1958825875,5624213686,5328812768,934193828,1556057112,421065333,1064037624,178539606,314182124,1493939982,4070250080,2203951920,254120088,3099568688,1576103645,258835525,455012649,1505364396,6843897657,3729094740,7738256736,616373268,3032987836,383065636,851923707,2254778724,2728378208,1760983922,761412387,2932736967,3842467040,7813663920,1893866355,3156855687,1417338928,5825693790,885539043,53295730,4102259875,708609127,4069224740,4087392561,2080238610,1963428684,1169079216,1067768295,6825681872,404430474,3370207176,520620823,326732747,44619666,1024579500,3850188645,236353326,6148920568,2908630628,1637214310,1918522445,6297642882,5639221701,2444865336,1040127756,997600801,6869328152,1589279350,5556865496,6584316963,2242752230,796036212,1903121319,4304593782,5982356219,943097886,3879278610,1687558764,1584480201,932741298,3879075024,684805237,4722048842,4028199336,1947461106,5652141552,5093880368,2075628774,500169971,3743542405,523577845,3807394804,4415089432,1325658035,2582110790,4820491812,1465654380,1895537396,1881220744,5384471967,1742686710,5245724910,7217011116,1838663250,1020558212,2608427020,1566617040,448915627,4823273416,7067175664,2360969757,1463459823,984326814,9429238,1587073440,683791036,1581523688,697708062,4736726816,228054933,906767401,1407529448,7305347664,8909911071,3643308080,4562110475,2637851336,3303975675,561688002,1865755315,147157848,7357451265,375494370,671471792,4577820975,24777048,2669783382,125006326,3662264132,1130280956,2205848091,937301805,1435573323,5998540520,769737420,553685004,1100847260,3588234465,1266658866,846755766,1908846482,5015093058,2791739874,4553447463,844659754,2523055,446082915,1729221440,4949371550,5968896678,4506284718,2415499935,1897658772,3864164940,409933956,2334978964,6604063218,570411646,2851513610,1865151494,641495344,735940328,852855006,6147876798,3645764125,658210612,137740679,2820021920,2931700977,195610926,1798848012,4194175398,295101822,497161612,806322350,3952836865,24499170,5598629288,1571623712,981902031,2817710280,72988460,3639497970,843454644,1921333862,3573651540,5327313714,1255893698,3146154576,783028899,3698751280,3556178346,3505392835,2156102207,3918641892,219070628,2417731731,2107985400,256384275,2128556532,1683770515,7340886520,3481041840,644849124,974646056,388961501,5822236448,504541900,5688188312,1918354380,4305681265,4924081818,1741329384,5011740762,8131420413,652227596,907749820,965541244,2351854368,419114140,736027964,2893718358,1040123816,147599700,6708050587,1295777444,2626504360,1533008844,6205973056,401807490,1487118492,8873193195,513586854,133378160,1265968272,5618840542,102779718,813250960,4856711580,3919954428,3005900900,1304583327,1735387712,5339536638,4986514785,851533924,275239602,1963380769,59869222,388719210,1869357288,398270518,4483105371,1102799416,429375624,1835314668,1119555609,49059624,7670955924,429811413,2550533008,238531566,4840948932,4260526605,4211844010,3588745131,3311722592,906279967,1705280685,4744331018,2099474460,306106743,802991875,4172554494,1104033652,1691496372,1133589933,6845313336,4339179264,4140855719,494396605,1468708770,1641719494,2310628208,3835429716,710408055,378812957,358532722,985297450,5615408358,1820472994,2001668412,586906149,562119160,1931398454,3704908668,1896375108,6993534,67732044,1188568892,2117589192,299080018,5507977986,1156069614,3450838286,756843770,4446675567,676244272,710297739,1474178094,118363366,4022216506,5652453105,3058180105,4739226904,5701974908,3110646976,1096473918,3576994946,3685107828,147311428,1387228676,8204461605,2852357360,64848468,341610075,2881778844,2655243085,5813351892,4678769785,433051623,4758936822,822760052,2908971684,1276753597,315720100,3019692240,5668549180,5368394486,1757926956,481927536,804796251,824771542,8353450746,799066844,2550168849,2515859656,5163353960,2198098065,3586644768,2229743097,3126807405,520767150,189826096,1554262182,656312104,3774530522,5287057376,4393105925,336730020,217963305,101298171,104711508,2382481521,1374282966,1124291486,7132437936,1112922144,998353000,8260772112,619904453,1858499805,67928712,475553332,933152795,119985720,6414669792,223236880,6817815801,547247514,138973990,123724656,1185073254,1663207832,4052273120,3975341352,2554031220,2667503892,1909421930,3821512920,1831096821,452244298,900231712,766051732,1533778344,4341746766,4201387485,6108135,64344603,780320538,3879948618,3272195960,4790924154,319278078,1091364036,1634231840,124368440,1932432561,2746407836,933465492,4358964447,1203573546,2174420241,179116507,2965500732,4510216356,3150017880,136249512,837237735,2078156169,3227071338,2577041640,2496918472,151029075,112417542,3217266101,172659012,5165668467,633544008,407593004,1721841860,5617998114,1433834604,4341529423,1336328396,427018794,5548645656,530775675,4681469975,980591928,689266490,1609213536,429928766,4788411257,2087978032,531015682,1752581343,3298171216,2581418296,448495540,4209709072,2943907936,7467200400,804563766,4580615048,847349022,6745190310,977715664,1861856842,956449095,2860686560,2260270628,1889879605,590838110,3589491600,4633951960,1712254558,68449284,5907937182,165072960,1394317734,4785084240,1882068715,2013843083,861020240,788997878,910330286,645598911,324941241,2073899598,2083723925,2164514226,1888488504,106996671,6830497888,416057488,6226004547,2900184669,1587278510,3930017156,1492604892,545954402,4961089485,1236578040,717652468,3670419388,1656628535,671714712,783691084,2100211194,3929450612,73787300,2548088165,575310532,175794536,92004824,515137390,1602950802,195148320,439902024,2921738097,424460372,392468762,4793221433,2513983510,409292016,5562747126,249137659,3787960841,5274228768,3302532245,4583365024,2086693224,313363977,6411075102,7417951731,765535431,996015684,3790039200,916763173,3773640625,3293524662,290714580,360766554,626045175,3949142660,689306048,3670541260,1686962028,1169747434,3642069660,2575184415,5498330952,4350750831,3654304086,1421850030,3727996722,3740810940,506916852,2150745226,5516512890,7396295283,4366585979,1442958160,12141190,1644874794,765548744,2983310393,5081816205,478679080,3947793460,1382877166,879022430,4133882179,768020112,3637513684,3677054520,1727498457,7993676456,6072908608,1053837230,6387972892,549094741,2704876924,2265545667,2542277736,1431190752,1549594761,885468536,3448825564,3708931030,2496543429,954336396,494725220,2321996934,3819829524,2396931852,4031735379,522341606,1009585666,1681000254,5806925094,137753731,1865687060,2496215982,5870830296,56749194,6079888288,1465314501,6377467080,3425757130,3328879550,1528460624,4419102474,699637228,1363744060,798055695,5044348704,513364439,986835730,22973656,1732790142,5722098312,6380255872,488639738,1252114456,361194258,5903293232,535638545,3089805312,816927262,5227560248,1874088568,5288651970,5915504672,5990129796,6771146880,321929865,2146880550,2105377580,2189895965,1336332717,6335437752,3036273410,1033587924,1377741240,4429620536,3358665456,3857885100,277258900,4502375631,1673347944,267869506,2490224835,7670538552,993819698,3514510315,45330872,995739360,1304331176,7507971656,2373967746,201224984,2907638456,6505687760,1350341069,3024545696,3316616838,607899698,3257646855,2146134888,1531173366,1445386044,1274969843,848279285,4423686030,1072778691,2909642916,905673930,805020588,217192696,343876251,1867487750,1889229,682135092,4954651422,4927930336,1539807582,1532636392,2488353445,2702734818,1979451308,790588654,4431087227,2583068392,7489486116,1804061074,3648912232,4528792235,4349085075,2889293140,1880046357,66489894,2481006768,641956011,1732478032,688227429,3019737320,967120853,1666766642,3450863997,377300698,165953625,1916911062,310497864,621943369,1771491374,3969125622,1152196401,554973182,3856374288,7402414144,2919457431,4969540795,2499126784,709809374,940898276,1697807545,1204104034,2952281280,1360449658,3703748342,413369642,4810717680,629328423,560329238,392479058,1039917471,351506339,4232523905,1687852768,2927022264,6232853502,1029105150,4375098306,1816719003,3315055866,421416270,420524289,560612178,1019706516,412532410,1181716125,1032430042,1592471526,337421078,3327882246,1844663592,1760799522,6296489605,1268796576,2705124534,1686473754,1189095446,482334315,989497860,244945149,869501461,579949482,2192754624,5216780149,312641408,1731468645,5975538696,1783986246,18671265,1346105815,319978148,979196818,3850962813,674707869,1488869352,627357482,3535115620,2626023840,1866318741,1437765858,700747950,4346136208,3652542148,7378654192,2181381024,642926055,2388885918,1370781774,4569599454,1756323418,3003052924,2989907252,1933459720,3755122042,3596760475,4575520328,500861075,2544563340,491616115,919591314,648097870,873441436,221191456,6546186045,1420363456,3605816142,405524892,8165049399,495283495,3901953324,1280926400,1128978599,1157107805,1314030156,3664213854,6486896056,3636708128,688535334,6249511674,4517285794,1839702930,3682819740,1395220272,1452961140,1407017770,4604441786,3531890920,5428593468,1904090792,3887879233,2704849434,22960737,1220061850,160688274,7921000494,1758542555,2860298848,3067379835,5791699616,441474685,3467170650,951436548,337227135,2745078432,1613615004,205416042,32473332,421566966,2420789220,1817163802,4915278160,1919660022,991375534,4127488704,162508857,2946666344,587308,3483170730,2822719928,2607923250,3383516172,892477200,562694368,835790276,703064482,8090879,194249979,252830695,3374429436,4061753496,31669998,5734975316,1062008200,5351234416,286461697,467288756,976084645,1404576150,462430260,2220533535,497192515,420467596,2632140999,576309442,813585441,811382922,869218519,32690906,1477600994,1376938900,2788354195,2934679620,1026623780,5642664420,656206174,2465308108,1257567984,675747276,862895508,754806942,2297068708,8632448523,2137129542,1762540734,1575144652,1848420033,1435115043,1033375480,3790650600,1110847242,2862656769,18313542,6053647376,4046555844,628778213,875741097,2994268491,4031034228,1342783000,3037294435,548540245,143522336,882797472,2062648016,1873274688,2871859473,1945638040,3078103113,3178286104,1973462516,1364624103,1300866264,5144578956,1657613967,366133763,4118400510,7352477824,637090197,6067849272,3332496975,3264370500,418965998,2150363184,343741939,1512659268,2190586235,3646337888,511815793,4904794601,8032016,4616841800,4626428030,758690080,5118862952,85264824,4553594560,7444262248,1591776153,1414130511,2366219535,3859215696,265880447,5251445472,3269280978,70978633,3074669820,2545058637,4788821205,3757843808,3618542394,1322062235,1552026170,54441308,489923007,2944834056,508646873,6752438472,5273892616,400151563,2244219596,252419864,131315645,2750394240,2827648998,858022917,482657880,498833592,6096032928,145787172,3620057259,2752832495,595445800,5740016544,3045408906,1701590432,3134478776,1689579976,691689066,2736797884,784966440,2411606368,1955564838,866693188,969015150,866993935,2434593522,948336810,1810121640,1962120264,1934817432,1729162520,2506949032,924241126,5578852741,212077887,551949069,187318649,982899214,2648679843,5863516836,1060579862,2108027000,566836112,3058685861,5497254938,3188641565,394654876,13641416,968931006,4033551642,6970026560,1881319208,4976060704,1509753464,5216241044,2571719020,2370500128,1498692391,101631272,2785702515,458760504,4184771103,3527311872,3459760056,1149772488,660599436,1022434834,2072881321,7380672984,2789421660,579361215,148335971,3402007904,448144550,822930936,5354323954,1291047026,197813951,1581309264,337921847,781839750,5734817073,1254167400,2784274785,6388793464,5226210342,9300096,505537794,201911156,6344872814,3186877420,4916924855,713594880,1290976216,5555109424,4769301054,8791781841,5715034544,1631667159,478931253,4266319122,2855221385,4291533096,269838462,1544833350,2269613445,4275627696,2004196726,854664034,2759096868,437773065,4462201156,2349552688,7846045929,3879700209,7752001456,8780299416,136884045,3775387556,1335659715,795980108,99559698,7108722448,4027753184,557511964,3788713968,1360437152,7306426752,394477998,5773923792,1646887697,3487065635,360729565,1997994117,1907863710,777004910,2244137095,4725506304,1297409484,1521790212,5558269878,1893121856,2443816384,3884773459,3798381881,368484690,4175994384,1693276244,3087902456,279736386,3650933952,478048438,8279568486,732305960,726737736,2400712818,1815034300,609180395,4428515168,5540785464,3349094864,227790498,1417652685,539763775,4109965670,1810593522,2186604162,73667292,264505819,2368174904,1009469460,2984726616,4600077102,2154341976,658285895,397681293,5064530723,7359874056,6109557408,781447201,1796948300,1388001672,1950954752,3614303072,1848472752,317071434,1146067437,1714106140,93607332,2691737752,17846986,1933586370,30927385,6917213259,4647917592,6386761992,3726255876,760142130,3882044512,1475134650,2370938024,4032859368,3142968472,8449059438,3327124288,1641074600,664044264,533060395,529054395,992050191,681528909,3135913905,450899022,33773851,1869969216,349960995,928839888,645598087,5826290247,1342896772,931893395,189630386,1630908840,898662747,238027370,2175247437,8267917050,896287643,3460665732,6048866160,1662972879,1108527054,603233490,5543667934,3726024348,1269354957,1772525226,603562395,1930467639,677217096,1438774076,2610391272,211860120,3062933570,945564648,4368830095,169992090,2524823515,1544224152,5857972253,2321622412,4213559790,2455373665,7476891192,1182860538,4090585308,237318221,5306558166,724434028,389178126,1957115331,7164056007,265135471,8323127622,18193172,3778030,1687631632,508644784,1482556322,2797552260,1554323575,3098428962,738769675,818839846,1330916776,6761758144,4885146900,721040731,1022500244,1298607814,948468240,1996259940,2388959125,2234103370,890134430,2682542406,5365161783,1848264370,1681769106,3025530228,755610935,6792417051,2926838370,799429205,1288075368,720189963,1865353971,2657602914,2473884110,297241984,1950891402,2895822713,1538021331,5731456110,2879907534,819583468,4503665910,83006172,2255362029,106613493,404735688,727611252,235177699,5854253076,618412168,1872395140,1248373764,6099205167,7843219920,1401228306,4711437264,2120216695,3031541757,3788550909,6703815699,4451653206,904930500,4057568412,1568735788,3166358244,161564654,4779945549,2610469480,4252798011,2275210746,354717616,4714744308,3953683645,843580131,6178819808,1500329286,43372042,6094791904,1231837278,305577477,446310360,609075200,2177825262,3626389014,3075044184,5766200208,3945394125,2199055380,957167611,160558894,6459257200,1348732792,541073066,4694092676,873809845,5162088029,3097940994,601780465,1137623736,4470590392,144847296,1341191454,626854336,5953324455,1473190033,642313128,2441103930,908521840,938111096,7784274168,6026496944,3470088054,2923730692,1729013111,1860445476,6886329156,6049826226,1896836040,249748958,3101858274,3073211850,203048694,3330775800,375672608,647130402,695963613,738877019,6115199349,1964471508,376190381,4635367560,1180564007,1156371470,2481186288,1332459924,237460054,3991799588,203493795,900267362,1264272868,5017924144,3229613465,1018525719,1130219035,559391388,1401193171,1947313893,252455221,1258159800,2405953674,4642023245,3762443205,5002623598,608512440,5419715196,308584448,4635181830,3006819776,6464907664,1765854315,1816579539,2185094964,390296356,4500316230,1071989134,5294882495,2840083047,3136917084,644717560,602490312,851155086,325085074,1422149885,2371762836,1330304352,7479302553,192934624,1042144040,1562817992,1222373096,6476614809,1652540320,2361454132,992466502,176478003,232891255,130575116,3593759684,295558446,3358147132,3294927616,4984682640,4874158962,4123394030,59825992,3657455543,860289763,4874902680,823228590,4335346547,1127075992,1099608704,539771972,256049804,1188179890,587188535,1076664918,1336254674,7304146569,3430068834,4842458104,4924275580,4423296400,2051934423,718918880,1554385415,6910956624,2499948703,3475162611,1485592688,291253590,1452246294,3998987910,1684016800,944846273,4543517076,2768648445,3519155346,413111706,1030657968,2155119530,5372073777,1452163988,426614610,3329264928,5435298072,5011072480,458408223,3389817270,924873886,206192666,5604815744,812817099,910683666,2289291009,8985861036,927931612,1613888801,1230300392,818882863,1624286784,5777598260,2457963891,1727821323,1760463753,3544956810,4406027820,365859291,7541558,1890933072,1844459614,242295408,2339418685,4357561440,1471921997,1321328553,1686768762,2567524600,4358411032,1007085356,2419547855,3841865028,570446646,877567132,287290080,5796465738,2822943654,566818524,2781144660,6311246608,227144682,1203314247,1161031062,1515096030,863237675,113196762,1502671822,4023769414,5581229010,6568174600,2365523181,280160848,1676103366,350791120,1308876408,4879362075,1111866416,3443214312,81112804,608194044,171220856,2824918316,2760952824,3232424776,4301949652,8477302401,541782775,1492053760,3411497286,825207108,4449857550,920919876,102577694,774134295,1386417392,927945295,1195425483,910845295,2808561132,6388134004,4536226114,1126396716,7096799120,7417385552,1240558490,180577075,92958270,527168472,455102360,3565833033,5043297438,2679676920,804142459,6972344656,2224117647,1036998196,4159822536,235456300,1206364392,3767309105,465348084,1940394290,1569936722,1166062940,3572635072,422101272,6887686,1626436053,3070261530,1876232504,6149653792,2189048345,2664907560,6270171138,8044112241,774472660,271313501,52341702,119449926,37428436,2583696525,2519732025,71556417,2770220034,1172886035,902738220,2511848224,2204670864,737359741,1510745970,6613535655,1528240746,1225358272,722124644,1426249732,4519678968,251298089,40557304,3099953850,41256476,4442313162,5591549586,820755512,503178100,4847347647,6256764216,4224503661,3780948270,1415558920,3495533648,3529867221,4382051634,2508704004,1294131134,151116116,1266411396,3421595300,180962622,3587087764,40005598,1800858144,100182230,3594542648,6921530496,11789555,192945498,5279339388,3184361730,95450689,7760876384,3873513678,7945880336,258036354,2763892390,1984871730,4997961650,251028300,2297705745,4293609376,2386258938,7384783624,368509373,1692436389,1898186868,2689303551,980554020,2450636685,1991472705,5724910552,2834009502,2383189976,5455606422,700150956,942145031,441902855,2548025991,2032393677,121318219,1717014429,3393933812,821833372,974817420,2612049669,3896333085,2469884922,3394712515,2384770990,731023191,4931731035,1114215786,813962880,1318562780,4591916970,729048255,4256583088,3369249815,2866966528,1540852035,1916128191,1928621965,4200221310,1582734099,285724588,1310419452,483244245,2008232044,1415498571,1889087176,325542487,4104558143,479356882,877316729,792451182,7468257400,7454440,969375218,2123281244,3678109740,1198673312,6090324210,2313161616,2148722009,6884445717,4309237845,4078563391,2329333255,662124660,342496266,1357859745,2358149927,1042988562,1323497554,2258283333,6888478331,4404812461,4071883440,1077751014,3484783348,1509396969,653370531,971879503,2742898760,323402088,1152803367,2898668256,91153960,2823637015,128445870,528540670,3908370976,5616364638,3680203764,399383606,3283266965,4730218885,79146200,3906905225,723571835,3326619384,1657692828,1508409422,215666374,3467042460,142569690,985066461,8287346511,3832431344,897008208,2418998872,3759496555,161816025,2507393976,2194039683,34893456,645290050,5713062075,375591285,472635914,3165422160,1725969848,406332408,1527875800,3963922424,2363688276,3548499050,6507016920,5613294414,737947178,2170070470,157498664,1797914022,111919851,4368340445,2485404040,442758360,374837112,182450961,4051634310,2599242597,2916932135,2149748888,1562413149,2637930345,1595895472,596927544,2391619332,3471032535,4279061945,1184857002,170645367,3366176679,2599531264,6594540327,1742280921,2596288776,580363966,4066706848,2321791872,571764812,499670765,5973307400,7076477720,60639140,2293793646,3045342426,1716978297,4941872910,459561135,2008722510,1942086999,579544953,3893829546,17998005,1878690980,959663043,7184458392,786841822,592119060,1091179038,34960223,1753070669,5899201856,8462102067,201888625,941771479,2858799555,2628917815,1600821414,4006472305,671186462,5049016712,3408601305,594354872,3450807052,5154241488,6808811607,899557316,473332563,823187114,726741927,5424273480,3141794929,98056974,684477522,1116191770,7156987362,2915949806,1775040485,1647789732,2237317938,1683500794,1984072016,2798652123,2662864557,890837601,2481231592,4956280632,5120784347,4238103723,26367501,1407596618,1449850612,1287017336,714320030,5774854547,232356001,3953224191,914511659,944253945,107406538,4277907894,736668303,340590192,3683694658,863039850,4333531920,1750143330,1067892360,5293249722,4217345928,6233522232,5913500778,3090662840,400970738,298197480,1288820644,1008872795,255098515,64582595,8097036750,420378360,689080598,2411327840,498926164,4922717562,809545796,1053416260,466057869,278862250,6281011384,699826875,1655549248,4139496804,3485977655,789377236,1160447100,1461722215,1144635569,1806393267,1121869050,5437425090,3914948250,4980805932,4153753692,5429685720,7115477013,969386067,695526696,2734231570,516343020,4834761750,1320174621,2602673850,464468880,5528055248,1334064468,2059640256,2261211420,1882938186,5525617160,1829418594,2467622100,1773908498,189897437,1095759160,2759473083,118432248,2463565290,4621735168,2226728476,4126214436,6524294518,4344262085,258891642,1311114384,7423955288,539988086,483750686,1847630523,85642560,943300563,1897709834,5298383850,4878126666,1485516512,5285027988,2808087156,2723270347,2521027280,1478198304,127024940,379515436,249010870,478424270,4630020810,617147639,950116892,5775702744,4707826284,1383231804,5256667556,726969044,127574252,5098125678,2691601551,3184772395,2704504950,2808499296,2991037144,2232708786,2047827388,4686204579,1969987172,3738448590,12595440,2465770184,6902103303,2605267308,675290440,2804506725,299422172,1081586889,962997120,1213801492,3607011000,436737160,1346159952,2764855227,6542242299,2315805855,5963651556,1067239314,3733338415,3462765348,479489394,1597320056,1539302934,217749672,345100284,535873368,2706161136,2832200296,3088476765,8762426010,3351742236,1479985080,8277419376,1323644370,756756740,501942286,7437484044,2553874428,6920605696,4208629820,1558572814,1087986520,2797285275,710108983,2737990242,1527272135,118992430,477840216,1035952785,7675176681,7286928920,949401130,4398832760,1652608224,479493711,4075442136,7390110216,3574814672,410158296,6385635225,3853833984,564345656,2514262761,4500729040,1510080012,1612128828,2704920333,4404034290,1874878072,521029108,2484357576,857026476,50140930,1036805120,3868400400,4350819546,4332456348,3575330381,879544826,6408997966,310653542,3859838232,1891839305,1798971510,3296208828,1184124682,2366957010,7456965816,551873430,1343915400,1747362434,7184943792,1191170277,4906803005,1644639370,1502982882,7265619315,1659142472,914466616,1135745598,1056547344,5142713320,142937236,109619035,2357350590,4735277568,3647620823,233425462,2101919475,1605358778,246759415,277409126,3177976520,685848081,6059661344,3281726709,7746391112,290561715,246262836,826524984,568339796,229591758,4485294342,2866579092,8401437378,2727388944,2401624773,2695340508,1736861574,575137923,3699832,1846442844,611349280,624794606,1973586800,5982875442,327310130,3258081625,872501760,4693181304,835150828,3449935600,8048019501,5907654528,3973029096,1711973232,6096209427,3243349715,741655530,442713462,90726612,216555248,157645236,7419860172,1381503216,88062852,2272190403,2594424584,1682275830,585041888,760936286,2807596290,308109843,5222657776,2418407216,286673606,1764992205,5133868120,5888861288,7522953750,295488546,6340067163,617292106,2567409444,833686848,3457107458,1706292954,1463347200,184735115,685835568,421664414,117645402,1292248782,1078178001,5916789459,2587918696,3411024884,996833610,7615621665,228287488,3312229606,1329864352,6284553696,61233725,543158547,918633902,4007826072,1947946920,801234650,383812954,3039605544,796728852,2285430300,7838763147,2348034048,1154008328,1315957559,2823322625,716095320,789093506,69804451,1060224399,5655285630,74020352,2644497252,6309736685,2612581964,1476616800,1173593864,1490270240,466181184,741384478,2825729960,3345147560,146911713,773126148,8989886151,1895484652,460304826,2055186896,6103067364,196659154,2231760256,4078769796,3403675940,5301916641,1935353568,1831177096,1877230836,4266342153,2153526210,714580644,5023722232,866282437,1822086055,2571783933,673703810,2327237070,1270781214,5000122908,3744838820,930588152,2449522952,270158565,530682106,3410863960,690020323,4475353312,515215650,5769724674,3859100832,5177478558,774307636,2940574464,2322910494,56503190,1415870192,1959002196,235442897,524610516,732128584,1218827856,913507512,1949786050,836546435,2171186056,4120788609,996591512,3989351799,3557656845,392150168,1525054203,6281031080,264380218,2484123720,3092363281,460362684,952215200,74889544,2116033630,4454569770,6427742587,4598527072,60642768,6994880264,1218224100,5576295450,3944196244,581142472,1171719735,6435691866,2923899216,5229882156,2975454152,2638968775,7215435522,1024916424,117042784,4063019190,265486832,1331006452,462653228,1627651000,2649926504,974636631,3333114168,3474212724,1742675816,6749056244,225924605,2140586992,2421817032,165327169,70050393,4629403808,3020360008,2497130496,5109482259,499445487,719609072,1534608081,2759338820,597448762,2221268760,1566682554,4706791926,1096130082,2428935272,1580317044,7677709664,327797910,2920815132,550369403,2059433388,892629806,87265130,1172967111,741433065,2748178405,1337890983,3990108820,2359954880,312511559,2945751156,1089646080,391302418,1517757142,632602062,957383518,1129909445,5967216504,105314700,1028821230,2827003788,1762218426,613693890,5751385829,336793371,622916417,395184662,831392100,2063206074,2801189688,3776529360,1642003200,16921815,2413357872,118420200,5633586852,1238386200,3420308878,6100845093,2870886735,2546796996,349890189,6889360247,6933299576,48105080,5379595380,2208030618,3372291798,6764543901,2688810968,5463931193,2563197882,3967204612,605722222,5213539140,4619986866,4127927769,810251515,620979346,2611083936,114937482,1004110052,4316851595,671655486,1550898400,727604198,14302854,3805429012,44486692,722664816,131414770,429330831,247756526,3079700010,5013171716,2241122020,7070360526,1551495237,484209504,2204254255,2903753398,3567121564,1905269730,2596672794,199886816,7038778959,892032343,6033329919,6451441234,381067948,1740163458,99374774,6997526552,3420958056,6184787742,1368049125,2284489974,178029752,4677202596,238191163,276507600,4817522760,2299797738,2045342580,2496481172,2116882854,294422608,5451112408,4413756872,1149807355,2940016340,328587012,3460040994,861645130,2470257264,1398027676,1666156440,4219714289,4655935920,4620845512,2102274117,1000862737,6290190728,4206576425,1661821254,696412839,491036568,859153272,8213881122,6120417632,1844658872,4358089110,6460936542,467188267,730948689,1746408956,3235851832,4737974626,6791312283,6119758328,798937309,6630588412,1865906484,2019873498,3724461209,1961048411,3701883700,4324681480,2249854120,4349037294,6888421384,3938013054,1643463444,4290716776,1992751728,1567318140,740947340,1686823797,4757148400,2730665273,2525840512,6514075043,2051747245,5141263200,2935200740,121265520,3635950044,834182156,4201261805,962799546,288205384,2632301808,521819866,1204117842,17903372,1297966968,4519001730,2147919390,7646152059,3464585280,2669744371,8190321552,752898674,5860195383,2072735832,3158915704,513630060,7314084639,1322825456,3001604980,2204093850,974392430,281535436,476785254,955446172,1045023250,4880769025,3944629176,493740868,429727962,1028430888,1724142498,21117573,503909036,961262714,1690704184,2401063956,981159780,3166022972,649444930,1610078760,1949428516,2825256680,787960074,3080861505,539773800,538118820,910558584,4022589352,4253403938,777160481,1707729636,1280895320,1580488953,2170385154,6507572301,1334462502,766211548,3674048792,2576024795,387243887,2555552844,433827732,5396740476,2075944292,2355697491,654792030,1539872073,632433110,6924961792,3416865498,329033263,786753144,200448346,741539858,1498062752,2653856880,5139964014,1263476832,133654450,5316878958,1957093350,1758567265,216436120,638207241,434713993,1367337958,681089271,6539377788,3604281201,2883410523,2449553911,64597716,456102895,2600518272,2657464416,1678431312,2583014340,4446066246,94846752,1233432116,2987229916,7895946555,4785645455,832606299,665870856,142160304,1828575280,993430920,2597961008,411628836,958513516,646213546,3542579694,5760353034,5992753576,7638501969,1731864678,2160496248,1661252940,6068294344,1543801812,4644737944,1605031941,329725945,3869828485,4970191170,2861252345,4886350325,1218428752,126577350,3251265430,6942943028,4176829914,682077911,707335413,5937716560,4224629990,6266275965,271565456,2947440705,4351167984,7901170695,1969209104,809527993,1903674186,342438327,468992664,154362034,955459252,947661882,1133797005,2753273584,41005474,1490482147,762386275,1020145062,7269271722,5583863820,6543159812,212523092,313695375,1212083845,418730904,6163378328,6999024285,926968183,193474078,1485351633,143771157,982403190,1288290132,1113052314,2346983901,7245999776,1260457202,4522399146,587838122,1065636792,948913740,4496115072,1087429554,4272951180,6494517952,975337122,1095973375,2809783143,691930982,3603521970,4503144424,2637813695,2858943577,5763728988,5618858952,38905280,1915414908,6872369672,2460917715,877514550,2498867585,866339964,405981388,989143488,4831597638,990592117,3903774119,1769852318,69006183,390324595,5335443799,4407107872,5668184010,3333937892,5498554362,3326726230,2078946900,885726405,971212224,470406351,925283808,375291432,908066012,5989443687,34692973,255670436,797490608,3772550934,2382053940,1467505986,358902804,119969928,3270982884,2021821655,6596688126,344353568,4697657160,300102725,509606009,5839440368,2839321387,409735008,5405089192,514079847,2753644904,6898292968,3262553072,3596548887,498664992,2588447211,3544523856,460073750,2241371168,998368966,413049284,3773020940,533090838,3526050762,3800382072,2245368891,1520473239,6259872,7855132448,918504192,199484520,8086243338,5562065889,2317994136,4134396940,3632317376,3413563034,760134370,3195810954,1836874452,2642568740,253005320,1425848796,4140620442,3901331340,11064279,2524234225,3752779772,3724667550,584639664,5705446977,1566417678,4012150122,737537260,2075336368,1957315540,4839781505,1681261490,2557408728,3969098492,298678356,5293440446,2405243935,2417218125,2548744698,7005481380,2840441600,1355405508,7271527280,2608427143,3980613912,591645030,1665802890,24058464,4781381409,1190019402,1854191889,577405568,2644584438,3029721295,2899825524,1529874384,1656580491,5659649271,442120578,5456484796,2616161562,2152717928,6438442424,266271648,297170348,7680008840,1393945320,379390220,4001847624,1916028392,6968011635,4932012351,784895626,1531605030,6341117304,2731151864,2585794744,778547310,897015966,1695844338,157597282,3963496172,371959057,17684688,6021949892,1560306601,3335803580,128798910,1885204084,1321665120,5626177524,2545895264,1038553794,7226284860,637456398,2139182991,2708825760,398091496,2848420582,1809097356,2559842598,744829135,2566754760,934491973,3362726718,1521251109,189657271,3157761840,1139591268,929456456,363186217,3393732945,675421090,5656805487,656038498,8463463038,1754333019,817599228,4809198373,173116496,1208756396,6118232393,6930295928,918395292,1219482648,3320657410,596445048,4417613352,2409005004,2539286412,757130493,1914228628,1672222827,2840691933,4367049615,2846212989,1062392408,5089509201,5076753960,4202072208,213451817,3494137004,4565217951,469058910,2159367440,1825556684,4152421182,640121076,483471153,11856012,1073984778,7538012056,2561353792,3276676991,3712577813,3189315618,281242930,4563516363,5677134864,332565198,5412678928,328927718,1765545006,2506025872,4562017928,888947668,61863386,4339657794,7975414080,5128564410,1485132089,5711460146,3886356888,2220174411,5221494964,4830687495,3108641430,2156266348,508186563,1718064792,5783320800,3091714560,345602105,5721346112,41054488,4445607873,73559432,1396591135,136321440,8450829171,397495476,2122874979,981136890,720369624,861828139,2316130857,360630596,3040599360,1966697992,7864448454,262895508,1662551616,1767886155,5037319302,2349311015,697969878,1395631190,2167529832,718127133,770657350,544591920,200321217,1944816860,5119341920,1459228350,2271852340,1344609312,770105344,1754524587,4678343994,3733202988,889543422,3970088475,2918895555,7882744923,813093512,5041483014,53080252,2210131224,2593044573,2590449560,2053520364,5224107888,276479298,6253009973,572970210,1183209400,800213485,622719285,7778815808,1481931088,3271649540,810696422,2213070672,252470438,3206359030,2680619742,4211289608,466143119,5771949456,5634196841,5981654664,949418175,91334621,3463461981,1549968315,2028982359,3785905310,1428262320,3992367725,193381525,4988048935,1003257488,4059663630,618043225,1912636187,184547476,668128435,2856013216,2790369873,145866095,29824624,1178127782,8865171351,17907876,1967498824,2028721977,489211137,3554052103,2535374034,880461274,4523283102,8789956542,426671312,4934584424,1618992712,83414652,295392976,7874052786,2716555941,4623961113,3159139038,494080978,3057578435,172197840,3764899384,23917531,6511076624,417739743,2541743284,2251095700,5733021648,271931208,1467863032,4102241934,4886633796,680451568,2937805365,1461201415,4034978525,2805384872,1097654925,1076539959,5934250861,5170875736,8310693519,723015357,621974605,401858048,379721589,457559448,666866824,274779688,112811750,378281806,921510816,467067856,5718869880,1507878936,6064174753,1780082850,8694338346,29604429,1729681773,6850589776,1630477762,2523113148,374931494,3564533994,511111741,3479696725,360805531,8920137915,4432511961,2504267580,4042225230,63826389,8856971208,2644577256,836379556,2633752640,3326652284,681046872,57695759,112149282,2453825754,459969820,762381150,817619160,3120807087,510199268,1659840606,4390450605,5817706904,2729084211,4925433499,3959388531,1147831038,7738898792,276113196,3397995678,30145976,5487652458,886222442,588261625,5638394874,6354326584,3298911075,6411954987,8809074459,216229540,1096124458,8659159857,2449477036,2597191629,3446634618,2653240072,796737200,43765204,1783499390,3207944256,1758808557,236757272,2844531776,2436452928,263385263,3992822300,435136980,74613056,2076249777,1247288340,3798611024,3575449759,904280744,798769128,4466861616,4085014941,3893325915,6514872030,6127792125,2881751544,2308283592,7628539744,3218133748,1245450387,125651092,690097624,589530408,1643701338,782035908,7276622112,8447826042,2054760896,1962769140,1576133392,3180677376,2012147204,2967443485,2202386808,364143442,3433248715,13948847,6274471959,492330300,1780643360,1886476165,417433706,844420620,7816766560,7440992896,800437920,7467213762,162715512,1669998546,1620342560,2495838678,743043941,6441547203,4372400196,374818830,56253184,1653080334,2335815660,4571621380,1742860296,368964406,900392208,3961543096,1186461270,358420484,421124336,1234150916,6034141480,843958048,4275830886,1983102495,2808475419,2507549745,3088087676,1877682638,1412821100,3300233118,2205958224,3207562705,7765736032,305659068,178108497,1873805614,5816508489,5067537368,7149753918,931703073,1735445340,1416463254,8457202872,1382030310,2974709700,75437423,1829717898,3137713630,271205459,5281936317,1571215864,3022750556,6177997518,602420168,1815484152,1493354460,67975888,395104737,7241119904,5718853044,7780732605,5593488669,4099872015,1644797302,3574459688,1892083882,4226031342,2053536875,1433679195,513018052,451564669,603828352,3629588456,1499613572,4635959069,1457198088,1983263787,1459328559,406920213,4632258975,64452925,1134905368,809749080,4769714540,1536008330,645829046,595598184,314615094,6339014892,7614732552,552194731,2004765351,880223682,1639608774,497054064,799166095,1046418534,1222839505,338662628,1069690959,7237586144,8653750470,448988055,2357971308,3812594630,4256879100,717226932,3220416880,2064595347,1429250352,1289550260,4450390404,1872196986,1358189328,7231210317,315675039,5617878016,1460551738,632962822,1018232598,1874092436,865897009,4599832805,3280865924,556784180,995509968,4907768496,1323697908,2315450808,3594355200,1981373448,3747464905,5599100457,1953743750,174427062,3787658904,136885462,793521382,1475881544,402610302,71353186,3443947244,2670173920,672396684,4312975568,6875363934,719494132,1229456470,5441627172,4599776895,4582503848,1027380114,5596780973,4923497376,2605943793,1346093570,6953737035,4855682424,3479027724,784665858,205236288,819415638,2265973029,2647991720,2464061769,730784305,981318316,5847610848,541078549,666107185,189551560,6194935665,2990545864,2840124049,4745493728,385151151,6624931306,1493502424,1470419104,5294175270,1161560406,1542308140,5955193512,3121661000,158510928,4517774424,4957557017,443014038,4964044834,462323395,803246936,580201611,786056826,438232680,325953080,4619259840,7645659264,6605584440,1133864140,3668736879,933295135,4307866530,311525134,1283281395,4258927355,1963824003,594991391,4170701390,3863776490,1827236240,7179458319,1117556586,1011460688,2534558460,697544478,2950470570,319846738,1098663060,914261546,4711709688,2085885415,5226801018,7417810575,1777369470,74438105,3270526215,77517648,6162021726,1590176224,3572124000,2837274325,5449544304,255524707,855218526,2043207621,4759958982,256539843,3687490775,263156819,563315638,2954088160,1018301152,1896538182,5557711692,3911607620,236183986,5973362773,430641069,315338560,1194995684,6644167002,4008319520,3510461745,850886408,5541115374,5239455200,3078563355,3856981350,2980357716,803823708,907741800,530046708,2585425965,2002334970,2011684071,1845397806,2281662536,3050377608,792524392,1434179826,3323041195,232886258,1389575628,371798884,2796701964,1994436303,1165660460,121410476,1433281860,281410104,555505280,2096037222,364273260,2316997620,1764807854,1795530718,2483868234,407520910,5678415225,1615705474,2313922506,4351697520,8072818929,3017150024,1065305811,2713894332,8605950867,2593613820,1306764081,993965529,1478362086,3225243438,4379872035,2499675888,1715662024,500115090,5637573726,1131152380,3037976244,2155159015,257999385,3136617556,526032153,6801901834,93211077,2955120918,1843066384,1481425540,58946235,5808250287,807513088,2737846748,1378990206,62837844,3072602346,1595475072,5160934496,236701216,668385830,248139891,2721954756,3506988752,3099756123,3379191740,216801690,1621891744,8122603653,4378802608,1349253400,7992096168,3857178420,5249640267,2589287820,495608975,2393411445,2946036153,2412846470,244074054,3062623170,2651048739,3649239810,1005388601,976181922,4974129996,427957744,1272562918,2565659540,1369877548,2935776354,1175588064,643252071,385768780,1842317680,1775106702,3555331000,2913753672,1233975480,4613253660,5577987080,1046366694,179437491,728035709,4880765240,296159772,1716642480,3925359963,2600854650,3139536516,273567614,3358249016,3400073838,1464319311,280034652,1881657914,2025881016,4357969168,4533379002,503101692,1968181788,40365657,480596619,169360392,1658733135,370877985,35886512,734505722,251102320,876490927,3879748316,4502427544,943845564,337866362,2959237290,6013248320,2742467440,107278030,335004408,2061169905,1152322920,2966666505,7838808084,1492962410,1022822764,1131925578,794176344,1819813148,3439395930,177626423,5973517296,5351338568,676353435,2820739650,4224896028,458366608,1765406484,2866616592,1931567424,53104945,1603860408,632140614,1301200115,1756854152,593733065,1624457440,1650364944,5743896480,319538366,470523150,2757115510,1300114370,653213529,3056474080,983990595,3193404928,2362452160,908945986,928699030,1547927952,909178984,387857274,205584780,3881689920,75668651,836760833,6548365120,4640880090,3346129596,2228989658,3657578176,6313059235,429261316,3906414400,3109459656,17711914,3811187492,121085370,1686134060,3334759224,720779334,180416008,1204602016,482375932,4970118750,2904325431,192472362,718792308,10259830,727761915,549196176,864128473,987562063,553178234,742468004,88678489,2388344010,885028665,105647004,88074366,1153436872,1732459401,1689430656,864987284,3218660608,4576607658,7533246352,4999261505,599346942,482636985,1608152748,2445540235,3659582884,5559880270,3151029868,895147253,67540004,188859703,2533143344,5712982110,715700835,4418891604,1314771747,2329923316,7797772494,5765503602,245325300,1663529408,1122721396,2023658845,1524240684,848734926,3783170220,546699753,75219396,1430795785,457330192,811529508,75136071,3421792685,909340250,8735575239,6446526975,426984976,3028717326,276195872,986841006,950999082,6869074144,418909320,7156989672,2694964465,4960672080,220451157,2094572136,1540323010,6463592632,296427492,1957789008,7570755801,7371745328,17126518,2423852076,894668610,5140189314,1666783856,2341281003,508546628,896471532,5220032912,3909578373,3911366108,4793121865,7027906383,445070907,6700873095,198784704,3929425134,1338404389,2595760345,2780660680,1689892078,3372037921,4170175803,441074158,6540982266,2818676100,1796093418,6189143520,517353738,2891540148,551678949,2931855708,376746388,2306253175,1222124154,1192327852,1254486616,691666056,8232553350,2809030664,522220832,5671746954,231535190,200674440,6319364002,4157845160,3075381400,186288045,285098977,936141541,851441820,226715908,5422744305,4358875410,7562648504,594992625,198967938,2114877960,2334051112,615378926,3868322872,1611022624,5149450568,424066725,2507759664,2201002407,2130157035,7309616877,659738898,1903742462,3058414345,303913661,6079874022,3695887704,3901019166,528789042,823217360,646975010,21754617,2748780818,305329206,2647320305,5047726662,1835298496,2495678775,4583521005,957160161,221835116,1229517210,1368767200,4950570444,2137059561,3506532490,720831295,3376155752,368990498,674499736,4549953000,899044926,584929456,159404520,2742676160,1341694445,1922683640,1568286726,401436031,1566452300,317182581,997487495,5682782273,844885385,3386677380,1193708616,8891038809,1643399524,108408550,3980853464,3027699318,4713870730,1264840544,1313203465,947471850,1311620376,645549570,3866262912,3027947795,345021861,3994569860,6272583390,2916241950,536784927,568464890,1252717266,6191485335,1153555802,2597016705,248219908,877037126,1661369340,2100249456,940799704,1840791855,1931188482,552878816,547430658,87998793,1923834344,1567543972,655642932,2832445715,4729612995,3781553874,500983856,745163075,2451631648,7143614408,755289109,756796172,609461473,1540648781,338427270,770092604,5586055224,707199356,583277460,6163027962,2556064005,3407476788,5787794789,103912524,4306331106,949612236,4588725547,1428386184,2405983160,997743378,7395450462,303912652,1942963310,4733901048,2523549228,115770300,2837695917,1040112354,3135209595,966187005,4920665301,4858862240,211091003,1206353218,2619613205,4388231808,4029320620,1652356701]
335143519